Finite Group Databasebeta

← C2×#72237505 #72317345

Subgroups — C2×#72237505 #72317345

Order 2048.

At least 11084 conjugacy classes of subgroups; only the 47296 normal subgroups are shown.

The subgroup lattice has 1791 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#6431784C211yesmaximal, characteristic, complemented
2C2×#6437611C218yesmaximal, complemented
3C2×#6437610C218yesmaximal, complemented
4C2×#6437606C2116yesmaximal, complemented
5C2×#6437604C218yesmaximal, complemented
6C2×#6431733C211yesmaximal, characteristic, complemented
7C2×#6370746C211yesmaximal, characteristic, complemented
8C22×#23439C211yesmaximal, characteristic, complemented
9C2×#6371536C211yesmaximal, characteristic, complemented
10C2×#6371397C211yesmaximal, characteristic, complemented
11C2×#6371397C211yesmaximal, characteristic, complemented
12C2×#6437602C218yesmaximal, complemented
13C22×#21005C211yesmaximal, characteristic, complemented
14C2×#10574839C211yesmaximal, characteristic, complemented
15C2×#6431764C211yesmaximal, characteristic, complemented
16C22×#63090C211yesmaximal, characteristic, complemented
17C22×#60367C211yesmaximal, characteristic, complemented
18C23×#3019C211yesmaximal, characteristic, complemented
19C23×#3021C211yesmaximal, characteristic, complemented
20C23×#3585C211yesmaximal, characteristic, complemented
21#72237505C2164yesmaximal, direct product factor
22C23×#585C2211yescharacteristic
23C23×#585C2211yescharacteristic, complemented
24C24×H(5,𝔽2)C2211yescharacteristic, complemented
25C2×#63090C22132yescomplemented
26C22×#3584C2218yescomplemented
27C22×#3586C2214yescomplemented
28C22×#3586C2214yescomplemented
29C22×#3585C2218yescomplemented
30C22×#3585C2218yescomplemented
31C22×#3585C2214yescomplemented
32C22×#3585C22132yescomplemented
33C22×#3585C2214yescomplemented
34C23×#577C2214yescomplemented
35C23×#576C2214yescomplemented
36C23×#575C2211yescharacteristic
37C23×#575C2211yescharacteristic
38C23×#575C2211yescharacteristic
39C23×#575C2211yescharacteristic, complemented
40C23×#575C2211yescharacteristic, complemented
41C23×#575C2211yescharacteristic, complemented
42C23×#575C2211yescharacteristic, complemented
43C24×AGL(1,ℤ/8)C2211yescharacteristic
44C24×AGL(1,ℤ/8)C2211yescharacteristic, complemented
45C24×AGL(1,ℤ/8)C2211yescharacteristic, complemented
46C23×#568C2211yescharacteristic, complemented
47C23×#568C2211yescharacteristic, complemented
48C22×#3449C2211yescharacteristic, complemented
49C23×#535C2211yescharacteristic, complemented
50C23×#455C2214yescomplemented
51#10574839C22132yescomplemented
52C2×#60366C2218yescomplemented
53C2×#60371C2218yescomplemented
54C2×#60368C2214yescomplemented
55C2×#60367C2218yescomplemented
56C2×#60367C2218yescomplemented
57C2×#60367C22132yescomplemented
58C2×#60367C2214yescomplemented
59C22×#3012C2218yescomplemented
60C22×#3021C2218yescomplemented
61C22×#3021C2218yescomplemented
62C22×#3021C22132yescomplemented
63C22×#3019C2218yescomplemented
64C22×#3019C2218yescomplemented
65C22×#3019C22132yescomplemented
66C23×#454C2214yescomplemented
67C23×#453C2214yescomplemented
68C23×#453C2214yescomplemented
69C22×#2879C2211yescharacteristic, complemented
70C22×#2879C2211yescharacteristic, complemented
71C22×#2896C2211yescharacteristic, complemented
72C22×#2896C2211yescharacteristic, complemented
73C22×#2896C2211yescharacteristic, complemented
74C23×#413C2211yescharacteristic, complemented
75C23×#413C2211yescharacteristic, complemented
76C23×#421C2211yescharacteristic, complemented
77C23×#421C2211yescharacteristic, complemented
78C23×#421C2211yescharacteristic, complemented
79C23×#421C2211yescharacteristic, complemented
80C23×#418C2211yescharacteristic, complemented
81C24×#100C2211yescharacteristic, complemented
82C2×#34044C2211yescharacteristic, complemented
83#6437611C221256yescomplemented
84#6437610C221256yescomplemented
85#6437606C221512yescomplemented
86#6437604C221256yescomplemented
87#6437602C221256yescomplemented
88C2×#23889C22164yescomplemented
89C2×#23890C22164yescomplemented
90C2×#23888C22164yescomplemented
91C2×#23886C22164yescomplemented
92#6431784C22132yescomplemented
93C2×#23440C2214yescomplemented
94C2×#23440C2214yescomplemented
95C2×#23439C2218yescomplemented
96C2×#23439C2214yescomplemented
97C2×#23439C2214yescomplemented
98C2×#23439C2218yescomplemented
99C2×#23439C22132yescomplemented
100C2×#23438C2218yescomplemented
101C22×#2019C2214yescomplemented
102C22×#2018C2214yescomplemented
103#6431764C22132yescomplemented
104C2×#23426C2218yescomplemented
105C2×#23423C2214yescomplemented
106C2×#23422C2214yescomplemented
107C2×#23431C2214yescomplemented
108C2×#23430C2214yescomplemented
109#6431733C22132yescomplemented
110C2×#23408C2214yescomplemented
111C2×#23407C2214yescomplemented
112C2×#23409C2218yescomplemented
113C2×#23406C2218yescomplemented
114#6371536C22132yescomplemented
115C2×#21006C2214yescomplemented
116C2×#21005C2214yescomplemented
117C2×#21005C2218yescomplemented
118C2×#21005C2218yescomplemented
119C2×#21005C22132yescomplemented
120C2×#21004C2218yescomplemented
121C2×#21003C2218yescomplemented
122C22×#1907C2218yescomplemented
123#6371397C22132yescomplemented
124#6371397C22132yescomplemented
125C2×#20919C2218yescomplemented
126C2×#20919C2218yescomplemented
127C2×#20918C2218yescomplemented
128C2×#20918C2218yescomplemented
129C2×#20917C2218yescomplemented
130C2×#20917C2218yescomplemented
131#6370746C22132yescomplemented
132C2×#20618C2218yescomplemented
133C2×#20617C2214yescomplemented
134C2×#20616C2214yescomplemented
135C2×#20615C2218yescomplemented
136C22×#1742C2211yescharacteristic, complemented
137C22×#1738C2211yescharacteristic, complemented
138C22×#1738C2211yescharacteristic, complemented
139C2×#20335C2211yescharacteristic, complemented
140C22×#585D4132yescomplemented
141C22×#585C2314yes—
142C22×#585C2314yes—
143C22×#585C23116yes—
144C22×#585C2314yescomplemented
145C22×#585C2314yescomplemented
146C22×#585C23116yescomplemented
147C23×2−1+4C2312yes—
148C23×2−1+4C2312yescomplemented
149C23×H(5,𝔽2)C2314yes—
150C23×H(5,𝔽2)C2312yes—
151C23×H(5,𝔽2)C2314yescomplemented
152C23×H(5,𝔽2)C2314yescomplemented
153C23×H(5,𝔽2)C23116yescomplemented
154C23×H(5,𝔽2)C2312yescomplemented
155C24×#41C2311yescharacteristic
156C24×#41C2311yescharacteristic
157C24×#41C2311yescharacteristic
158C24×#41C2311yescharacteristic
159C24×#41C2311yescharacteristic
160C24×#41C2311yescharacteristic
161C25×D4C2311yescharacteristic
162C2×#3586C23164yescomplemented
163C2×#3586C23164yescomplemented
164C2×#3585C231128yescomplemented
165C2×#3585C23164yescomplemented
166C2×#3585C231128yescomplemented
167C2×#3585C23164yescomplemented
168C2×#3584C231128yescomplemented
169C22×#578C23116yescomplemented
170C22×#577C23132yescomplemented
171C22×#577C23116yescomplemented
172C22×#577C23164yescomplemented
173C22×#577C23116yescomplemented
174C22×#576C23132yescomplemented
175C22×#576C23164yescomplemented
176C22×#576C23116yescomplemented
177C22×#575D4132yescomplemented
178C22×#575D414yescomplemented
179C22×#575D414yescomplemented
180C22×#575D414yescomplemented
181C22×#575D414yescomplemented
182C22×#575D4116yescomplemented
183C22×#575D4116yescomplemented
184C22×#575C2314yes—
185C22×#575C2314yes—
186C22×#575C2314yes—
187C22×#575C2314yes—
188C22×#575C23116yes—
189C22×#575C2314yes—
190C22×#575C2314yes—
191C22×#575C2314yes—
192C22×#575C2314yes—
193C22×#575C23116yes—
194C22×#575C23116yes—
195C22×#575C2314yescomplemented
196C22×#575C2314yescomplemented
197C22×#575C23116yescomplemented
198C22×#575C2314yescomplemented
199C22×#575C2314yescomplemented
200C22×#575C23116yescomplemented
201C22×#575C23116yescomplemented
202C22×#575C23116yescomplemented
203C23×#137D412yescomplemented
204C23×#137D412yescomplemented
205C23×#137D412yescomplemented
206C23×#137D412yescomplemented
207C23×#137C2312yes—
208C23×#137C2312yescomplemented
209C23×#137C2312yescomplemented
210C23×#137C2312yescomplemented
211C23×#137C2312yescomplemented
212C23×#137C2312yescomplemented
213C23×AGL(1,ℤ/8)D4132yescomplemented
214C23×AGL(1,ℤ/8)D412yescomplemented
215C23×AGL(1,ℤ/8)D412yescomplemented
216C23×AGL(1,ℤ/8)D412yescomplemented
217C23×AGL(1,ℤ/8)D412yescomplemented
218C23×AGL(1,ℤ/8)C2314yes—
219C23×AGL(1,ℤ/8)C2314yes—
220C23×AGL(1,ℤ/8)C2314yes—
221C23×AGL(1,ℤ/8)C2314yes—
222C23×AGL(1,ℤ/8)C23116yes—
223C23×AGL(1,ℤ/8)C2312yes—
224C23×AGL(1,ℤ/8)C2314yes—
225C23×AGL(1,ℤ/8)C2312yescomplemented
226C23×AGL(1,ℤ/8)C2312yescomplemented
227C23×AGL(1,ℤ/8)C2314yescomplemented
228C23×AGL(1,ℤ/8)C2314yescomplemented
229C23×AGL(1,ℤ/8)C23116yescomplemented
230C23×AGL(1,ℤ/8)C2312yescomplemented
231C23×AGL(1,ℤ/8)C2314yescomplemented
232C23×AGL(1,ℤ/8)C23116yescomplemented
233C23×AGL(1,ℤ/8)C2312yescomplemented
234C23×AGL(1,ℤ/8)C2312yescomplemented
235C23×#135C2314yes—
236C23×#135C2314yes—
237C23×#135C2314yescomplemented
238C24×SD16C2312yescomplemented
239C24×D8C2312yescomplemented
240C22×#568C2314yes—
241C22×#568C2314yescomplemented
242C22×#568C23116yescomplemented
243C22×#568C2314yescomplemented
244C22×#568C2314yescomplemented
245C22×#568C23116yescomplemented
246C23×#131C2314yescomplemented
247C23×#131C2314yescomplemented
248C24×M16C2311yescharacteristic
249C24×M16C2311yescharacteristic
250C24×M16C2311yescharacteristic
251C24×M16C2311yescharacteristic
252C24×M16C2311yescharacteristic
253C24×M16C2311yescharacteristic
254C2×#3449C2314yes—
255C2×#3449C2314yescomplemented
256C2×#3449C23116yescomplemented
257C22×#537C2314yescomplemented
258C22×#535C2314yes—
259C22×#535C2314yescomplemented
260C22×#535C23116yescomplemented
261C23×#127C2312yescomplemented
262C23×#124C2312yescomplemented
263C23×#117C2311yescharacteristic
264C23×#117C2311yescharacteristic
265C2×#3021C231128yescomplemented
266C2×#3021C231128yescomplemented
267C2×#3019C231128yescomplemented
268C2×#3019C231128yescomplemented
269C22×#454C23132yescomplemented
270C22×#454C23164yescomplemented
271C22×#455C23132yescomplemented
272C22×#455C23164yescomplemented
273C22×#453C23132yescomplemented
274C22×#453C23164yescomplemented
275C22×#453C23132yescomplemented
276C22×#453C23164yescomplemented
277#60371C231128yescomplemented
278#60368C23164yescomplemented
279#60367C231128yescomplemented
280#60367C231128yescomplemented
281#60367C23164yescomplemented
282#60366C231128yescomplemented
283C2×#3013C23132yescomplemented
284C2×#3012C23164yescomplemented
285C2×#3012C23132yescomplemented
286C2×#3012C231128yescomplemented
287C22×#421C2314yescomplemented
288C22×#421C2314yescomplemented
289C22×#421C2314yescomplemented
290C22×#421C2314yescomplemented
291C22×#421C23116yescomplemented
292C22×#421C2314yescomplemented
293C22×#421C2314yescomplemented
294C22×#421C2314yescomplemented
295C22×#421C2314yescomplemented
296C22×#421C23116yescomplemented
297C22×#421C23116yescomplemented
298C22×#421C23116yescomplemented
299C23×#104C2314yes—
300C23×#104C2314yescomplemented
301C23×#104C2314yescomplemented
302C23×#104C2314yescomplemented
303C2×#2896C2314yes—
304C2×#2896C2314yescomplemented
305C2×#2896C23116yescomplemented
306C2×#2896C2314yescomplemented
307C2×#2896C2314yescomplemented
308C2×#2896C23116yescomplemented
309C2×#2896C23116yescomplemented
310C22×#417C2314yescomplemented
311C22×#417C2314yescomplemented
312C22×#417C2314yescomplemented
313C22×#419C2312yescomplemented
314C22×#418C2314yescomplemented
315C22×#418C2314yescomplemented
316C22×#418C2312yescomplemented
317C22×#418C23116yescomplemented
318C22×#416C2314yescomplemented
319C23×#102C2314yescomplemented
320C22×#413C2314yescomplemented
321C22×#413C2314yescomplemented
322C22×#413C23116yescomplemented
323C22×#413C2314yescomplemented
324C22×#413C2314yescomplemented
325C22×#413C23116yescomplemented
326C23×#101C2312yescomplemented
327C23×#101C2312yescomplemented
328C23×#100C2314yescomplemented
329C23×#100C2314yescomplemented
330C23×#100C2314yescomplemented
331C23×#100C2312yescomplemented
332C23×#100C23116yescomplemented
333C23×#100C2312yescomplemented
334C2×#2879C2314yescomplemented
335C2×#2879C2314yescomplemented
336C2×#2879C2314yescomplemented
337C2×#2879C2314yescomplemented
338C2×#2879C23116yescomplemented
339C2×#2879C23116yescomplemented
340C22×#408C2314yescomplemented
341C22×#408C2314yescomplemented
342#34044C23116yescomplemented
343C2×#2311C2314yescomplemented
344C2×#2310C2312yescomplemented
345C2×#2309C2312yescomplemented
346C2×#2297C2314yescomplemented
347#23890C2311024yescomplemented
348#23889C2311024yescomplemented
349#23888C2311024yescomplemented
350#23886C2311024yescomplemented
351#23440C23164yescomplemented
352#23440C23164yescomplemented
353#23439C231128yescomplemented
354#23439C23164yescomplemented
355#23439C23164yescomplemented
356#23439C231128yescomplemented
357#23438C231128yescomplemented
358C2×#2020C23116yescomplemented
359C2×#2019C23116yescomplemented
360C2×#2019C23116yescomplemented
361C2×#2019C23132yescomplemented
362C2×#2019C23164yescomplemented
363C2×#2018C23116yescomplemented
364C2×#2018C23132yescomplemented
365C2×#2018C23164yescomplemented
366#23431C23164yescomplemented
367#23430C23164yescomplemented
368#23426C231128yescomplemented
369#23423C23164yescomplemented
370#23422C23164yescomplemented
371C2×#2015C23116yescomplemented
372C2×#2012C23116yescomplemented
373C2×#2014C23116yescomplemented
374C2×#2011C23116yescomplemented
375#23409C231128yescomplemented
376#23408C23164yescomplemented
377#23407C23164yescomplemented
378#23406C231128yescomplemented
379C2×#2007C23132yescomplemented
380C2×#2006C23132yescomplemented
381#21006C23164yescomplemented
382#21005C23164yescomplemented
383#21005C231128yescomplemented
384#21005C231128yescomplemented
385#21004C231128yescomplemented
386#21003C231128yescomplemented
387C2×#1908C23132yescomplemented
388C2×#1907C23164yescomplemented
389C2×#1907C23132yescomplemented
390C2×#1907C231128yescomplemented
391#20919C231128yescomplemented
392#20919C231128yescomplemented
393#20918C231128yescomplemented
394#20918C231128yescomplemented
395#20917C231128yescomplemented
396#20917C231128yescomplemented
397C2×#1876C23164yescomplemented
398C2×#1876C23164yescomplemented
399#20618C231128yescomplemented
400#20617C23164yescomplemented
401#20616C23164yescomplemented
402#20615C231128yescomplemented
403C2×#1793C23132yescomplemented
404C2×#1792C23132yescomplemented
405C2×#1742C2314yescomplemented
406C2×#1742C2314yescomplemented
407C2×#1742C23116yescomplemented
408C22×#343C2314yescomplemented
409C2×#1738C2314yescomplemented
410C2×#1738C2314yescomplemented
411C2×#1738C23116yescomplemented
412C2×#1738C2314yescomplemented
413C2×#1738C2314yescomplemented
414C2×#1738C23116yescomplemented
415C22×#341C2314yescomplemented
416C22×#341C2314yescomplemented
417#20335C23116yescomplemented
418C2×#1729C2314yescomplemented
419C2×#1729C2314yescomplemented
420C2×#1728C2314yescomplemented
421C2×#585C2×D4164yescomplemented
422C2×#585C2×D4164yescomplemented
423C2×#585C2×D41256yescomplemented
424C2×#585C24132yes—
425C2×#585C24132yes—
426C2×#585C24132yescomplemented
427C2×#585C24132yescomplemented
428C22×2−1+4C2×D4132yescomplemented
429C22×2−1+4C2418yes—
430C22×2−1+4C24116yes—
431C22×2−1+4C2418yescomplemented
432C22×2−1+4C24116yescomplemented
433C22×H(5,𝔽2)C2×D4132yescomplemented
434C22×H(5,𝔽2)C24116yes—
435C22×H(5,𝔽2)C24132yes—
436C22×H(5,𝔽2)C2418yes—
437C22×H(5,𝔽2)C24116yes—
438C22×H(5,𝔽2)C24132yescomplemented
439C22×H(5,𝔽2)C24132yescomplemented
440C22×H(5,𝔽2)C2418yescomplemented
441C22×H(5,𝔽2)C24116yescomplemented
442C23×#41C2×D4116yes—
443C23×#41C2×D4116yes—
444C23×#41C2×D4116yes—
445C23×#41C2×D4116yes—
446C23×#41C2×D412yes—
447C23×#41C2×D412yes—
448C23×#41C2×D412yes—
449C23×#41C2×D412yes—
450C23×#41C2×D4116yes—
451C23×#41C2×D412yes—
452C23×#41C2×D418yes—
453C23×#41C2×D412yes—
454C23×#41C2×D418yes—
455C23×#41C2×D4116yes—
456C23×#41C2×D412yes—
457C23×#41C2×D412yes—
458C23×#41C2×D412yes—
459C23×#41C2×D412yes—
460C23×#41C2×D418yes—
461C23×#41C2×D412yes—
462C23×#41C2×D412yes—
463C23×#41C2×D418yes—
464C23×#41C2412yes—
465C23×#41C2412yes—
466C23×#41C2412yes—
467C23×#41C2412yes—
468C23×#41C2418yes—
469C23×#41C2412yes—
470C23×#41C2412yes—
471C23×#41C2418yes—
472C23×#41C2412yes—
473C23×#41C2412yes—
474C23×#41C2412yes—
475C23×#41C2412yes—
476C23×#41C2412yes—
477C23×#41C2412yes—
478C23×#41C2418yes—
479C23×#41C2418yes—
480C23×#41C2412yes—
481C23×#41C2412yes—
482C23×#41C2412yes—
483C23×#41C2418yes—
484C23×#41C2412yes—
485C23×#41C2418yes—
486C24×Q8C2×D411yescharacteristic
487C24×Q8C2×D411yescharacteristic
488C24×Q8C2×D411yescharacteristic
489C24×Q8C2×D411yescharacteristic
490C24×Q8C2411yescharacteristic
491C24×Q8C2411yescharacteristic
492C24×D4C2×D411yescharacteristic
493C24×D4C2×D411yescharacteristic
494C24×D4C2×D4116yes—
495C24×D4C2×D411yescharacteristic
496C24×D4C2×D411yescharacteristic
497C24×D4C2411yescharacteristic
498C24×D4C2412yes—
499C24×D4C2412yes—
500C24×D4C2412yes—
501C24×D4C2418yes—
502C24×D4C2411yescharacteristic
503C25×C4C2411yescharacteristic
504C2×#578C241128yescomplemented
505C2×#577C241256yescomplemented
506C2×#577C241128yescomplemented
507C2×#577C241128yescomplemented
508C2×#576C241256yescomplemented
509C2×#576C241128yescomplemented
510C2×#575C2×D4164yes—
511C2×#575C2×D4132yes—
512C2×#575C2×D4132yes—
513C2×#575C2×D4164yescomplemented
514C2×#575C2×D41256yescomplemented
515C2×#575C2×D4132yescomplemented
516C2×#575C2×D4132yescomplemented
517C2×#575C2×D4164yescomplemented
518C2×#575C2×D4164yescomplemented
519C2×#575C2×D4164yescomplemented
520C2×#575C2×D4164yescomplemented
521C2×#575C24132yes—
522C2×#575C24132yes—
523C2×#575C24132yes—
524C2×#575C24132yes—
525C2×#575C24132yes—
526C2×#575C24132yes—
527C2×#575C24132yes—
528C2×#575C24132yes—
529C2×#575C24132yescomplemented
530C2×#575C24132yescomplemented
531C2×#575C24132yescomplemented
532C2×#575C24132yescomplemented
533C22×#137C2×D418yes—
534C22×#137C2×D418yes—
535C22×#137C2×D418yes—
536C22×#137C2×D418yes—
537C22×#137C2×D4132yescomplemented
538C22×#137C2×D418yescomplemented
539C22×#137C2×D418yescomplemented
540C22×#137C2×D418yescomplemented
541C22×#137C2×D418yescomplemented
542C22×#137C2×D4132yescomplemented
543C22×#137C2×D4132yescomplemented
544C22×#137C2×D4132yescomplemented
545C22×#137C2×D4132yescomplemented
546C22×#137C2418yes—
547C22×#137C2418yes—
548C22×#137C2418yes—
549C22×#137C24116yes—
550C22×#137C24116yescomplemented
551C22×#137C2418yescomplemented
552C22×#137C24116yescomplemented
553C22×#137C24116yescomplemented
554C22×#137C24116yescomplemented
555C22×#137C24116yescomplemented
556C22×AGL(1,ℤ/8)C2×D4164yes—
557C22×AGL(1,ℤ/8)C2×D418yes—
558C22×AGL(1,ℤ/8)C2×D418yes—
559C22×AGL(1,ℤ/8)C2×D418yes—
560C22×AGL(1,ℤ/8)C2×D418yes—
561C22×AGL(1,ℤ/8)C2×D4164yescomplemented
562C22×AGL(1,ℤ/8)C2×D4164yescomplemented
563C22×AGL(1,ℤ/8)C2×D41256yescomplemented
564C22×AGL(1,ℤ/8)C2×D4132yescomplemented
565C22×AGL(1,ℤ/8)C2×D418yescomplemented
566C22×AGL(1,ℤ/8)C2×D418yescomplemented
567C22×AGL(1,ℤ/8)C2×D418yescomplemented
568C22×AGL(1,ℤ/8)C2×D418yescomplemented
569C22×AGL(1,ℤ/8)C2×D4132yescomplemented
570C22×AGL(1,ℤ/8)C2×D4132yescomplemented
571C22×AGL(1,ℤ/8)C2×D4132yescomplemented
572C22×AGL(1,ℤ/8)C2×D4132yescomplemented
573C22×AGL(1,ℤ/8)C2418yes—
574C22×AGL(1,ℤ/8)C24116yes—
575C22×AGL(1,ℤ/8)C24132yes—
576C22×AGL(1,ℤ/8)C2418yes—
577C22×AGL(1,ℤ/8)C24116yes—
578C22×AGL(1,ℤ/8)C24132yes—
579C22×AGL(1,ℤ/8)C2418yes—
580C22×AGL(1,ℤ/8)C24132yes—
581C22×AGL(1,ℤ/8)C24132yes—
582C22×AGL(1,ℤ/8)C24116yes—
583C22×AGL(1,ℤ/8)C24132yes—
584C22×AGL(1,ℤ/8)C24116yescomplemented
585C22×AGL(1,ℤ/8)C2418yescomplemented
586C22×AGL(1,ℤ/8)C24116yescomplemented
587C22×AGL(1,ℤ/8)C24132yescomplemented
588C22×AGL(1,ℤ/8)C24132yescomplemented
589C22×AGL(1,ℤ/8)C24116yescomplemented
590C22×AGL(1,ℤ/8)C24132yescomplemented
591C22×AGL(1,ℤ/8)C24116yescomplemented
592C22×AGL(1,ℤ/8)C24116yescomplemented
593C22×#135C2×D4116yescomplemented
594C22×#135C2×D4116yescomplemented
595C22×#135C2×D4132yescomplemented
596C22×#135C2×D4132yescomplemented
597C22×#135C24116yes—
598C22×#135C24116yes—
599C22×#135C24132yes—
600C22×#135C24132yes—
601C22×#135C24132yescomplemented
602C23×Q16C2×D414yescomplemented
603C23×Q16C2×D414yescomplemented
604C23×Q16C2414yescomplemented
605C23×SD16C2×D414yescomplemented
606C23×SD16C2×D414yescomplemented
607C23×SD16C2×D414yescomplemented
608C23×SD16C2×D414yescomplemented
609C23×SD16C2418yes—
610C23×SD16C24116yescomplemented
611C23×SD16C2414yescomplemented
612C23×SD16C2414yescomplemented
613C23×D8C2×D414yescomplemented
614C23×D8C2×D414yescomplemented
615C23×D8C2418yes—
616C23×D8C24116yescomplemented
617C23×D8C2414yescomplemented
618C2×#568C24132yes—
619C2×#568C24132yescomplemented
620C2×#568C24132yescomplemented
621C2×#568C24132yescomplemented
622C22×#131C24116yes—
623C22×#131C24132yescomplemented
624C22×#131C24116yescomplemented
625C22×#131C24132yescomplemented
626C23×M16C2×D4116yes—
627C23×M16C2×D4116yes—
628C23×M16C2×D412yes—
629C23×M16C2×D412yes—
630C23×M16C2×D412yes—
631C23×M16C2×D412yes—
632C23×M16C2×D412yes—
633C23×M16C2×D412yes—
634C23×M16C2×D418yes—
635C23×M16C2×D412yes—
636C23×M16C2×D412yes—
637C23×M16C2×D418yes—
638C23×M16C2412yes—
639C23×M16C2412yes—
640C23×M16C2412yes—
641C23×M16C2418yes—
642C23×M16C2412yes—
643C23×M16C2412yes—
644C23×M16C2412yes—
645C23×M16C2418yes—
646C23×M16C2412yes—
647C23×M16C2412yes—
648C23×M16C2412yes—
649C23×M16C2412yes—
650C23×M16C2418yes—
651C23×M16C2412yes—
652C23×M16C2412yes—
653C23×M16C2418yes—
654C23×M16C2412yes—
655C23×M16C2412yes—
656C23×M16C2418yes—
657C23×M16C2412yes—
658C23×M16C2412yes—
659C23×M16C2418yes—
660C24×C8C2412yes—
661C24×C8C2412yes—
662#3449C24132yes—
663#3449C24132yescomplemented
664C2×#537C24116yes—
665C2×#537C24132yescomplemented
666C2×#535C24132yes—
667C2×#535C24132yescomplemented
668C22×#127C2418yes—
669C22×#127C24116yescomplemented
670C22×#124C2418yes—
671C22×#124C24116yescomplemented
672C22×#117C2412yes—
673C22×#117C2412yes—
674C22×#117C2418yes—
675C22×#117C2412yes—
676C22×#117C2412yes—
677C22×#117C2418yes—
678C23×C4⋊C4C2412yes—
679C23×C42C2412yes—
680C2×#454C241256yescomplemented
681C2×#455C241256yescomplemented
682C2×#453C241256yescomplemented
683C2×#453C241256yescomplemented
684#3013C241256yescomplemented
685#3012C241512yescomplemented
686#3012C241256yescomplemented
687C2×#421C24132yescomplemented
688C2×#421C24132yescomplemented
689C2×#421C24132yescomplemented
690C2×#421C24132yescomplemented
691C2×#421C24132yescomplemented
692C2×#421C24132yescomplemented
693C2×#421C24132yescomplemented
694C2×#421C24132yescomplemented
695C22×#104C24116yes—
696C22×#104C24116yes—
697C22×#104C24132yes—
698C22×#104C24132yescomplemented
699C22×#104C24116yescomplemented
700C22×#104C24132yescomplemented
701C22×#104C24116yescomplemented
702C22×#104C24132yescomplemented
703#2896C24132yes—
704#2896C24132yescomplemented
705#2896C24132yescomplemented
706#2896C24132yescomplemented
707C2×#417C24116yes—
708C2×#417C24132yescomplemented
709C2×#417C24116yescomplemented
710C2×#417C24132yescomplemented
711C2×#417C24132yescomplemented
712C2×#419C24116yescomplemented
713C2×#418C24132yescomplemented
714C2×#418C24132yescomplemented
715C2×#418C24116yescomplemented
716C2×#416C24132yescomplemented
717C22×#103C2418yescomplemented
718C22×#102C24116yes—
719C22×#102C24132yescomplemented
720C22×#102C2418yescomplemented
721C2×#413C24132yescomplemented
722C2×#413C24132yescomplemented
723C2×#413C24132yescomplemented
724C2×#413C24132yescomplemented
725C22×#101C2418yescomplemented
726C22×#101C24116yescomplemented
727C22×#101C2418yescomplemented
728C22×#101C24116yescomplemented
729C22×#100C24116yes—
730C22×#100C24132yescomplemented
731C22×#100C24132yescomplemented
732C22×#100C24132yescomplemented
733C22×#100C2418yescomplemented
734C22×#100C24116yescomplemented
735C22×#100C2418yescomplemented
736C22×#100C24116yescomplemented
737#2879C24132yescomplemented
738#2879C24132yescomplemented
739#2879C24132yescomplemented
740#2879C24132yescomplemented
741C2×#408C24116yes—
742C2×#408C24132yescomplemented
743C2×#408C24116yescomplemented
744C2×#408C24132yescomplemented
745#2311C24132yescomplemented
746#2310C24116yescomplemented
747#2309C24116yescomplemented
748#2297C24132yescomplemented
749C2×#391C2418yescomplemented
750C2×#390C2418yescomplemented
751#2020C241128yescomplemented
752#2019C241256yescomplemented
753#2019C241128yescomplemented
754#2019C241128yescomplemented
755#2018C241256yescomplemented
756#2018C241128yescomplemented
757#2015C241128yescomplemented
758#2014C241128yescomplemented
759#2012C241128yescomplemented
760#2011C241128yescomplemented
761#2007C241256yescomplemented
762#2006C241256yescomplemented
763#1908C241256yescomplemented
764#1907C241256yescomplemented
765#1907C241512yescomplemented
766#1876C241512yescomplemented
767#1876C241512yescomplemented
768#1793C241256yescomplemented
769#1792C241256yescomplemented
770#1742C24132yescomplemented
771#1742C24132yescomplemented
772C2×#343C24116yescomplemented
773C2×#343C24132yescomplemented
774#1738C24132yescomplemented
775#1738C24132yescomplemented
776#1738C24132yescomplemented
777#1738C24132yescomplemented
778C2×#341C24116yescomplemented
779C2×#341C24132yescomplemented
780C2×#341C24116yescomplemented
781C2×#341C24132yescomplemented
782#1729C24132yescomplemented
783#1729C24132yescomplemented
784#1728C24132yescomplemented
785C2×#336C24116yescomplemented
786C26H(5,𝔽2)11yescharacteristic
787#585C22×D41256yescomplemented
788#585C22×D41256yescomplemented
789C2×2−1+4C22×D4164yes—
790C2×2−1+4C22×D41128yescomplemented
791C2×2−1+4C25132yes—
792C2×2−1+4C25132yescomplemented
793C2×H(5,𝔽2)C22×D4164yes—
794C2×H(5,𝔽2)C22×D41128yescomplemented
795C2×H(5,𝔽2)C25164yes—
796C2×H(5,𝔽2)C25132yes—
797C2×H(5,𝔽2)C25132yescomplemented
798C22×#41#120132yes—
799C22×#41#120132yes—
800C22×#41#120132yes—
801C22×#41#120132yes—
802C22×#41#120132yes—
803C22×#41#1201128yes—
804C22×#41#120132yes—
805C22×#41#1201128yes—
806C22×#41C22×D4116yes—
807C22×#41C22×D4116yes—
808C22×#41C22×D4116yes—
809C22×#41C22×D4116yes—
810C22×#41C22×D4164yes—
811C22×#41C22×D4116yes—
812C22×#41C22×D4116yes—
813C22×#41C22×D4164yes—
814C22×#41C22×D4116yes—
815C22×#41C22×D4116yes—
816C22×#41C22×D4116yes—
817C22×#41C22×D4116yes—
818C22×#41C22×D4116yes—
819C22×#41C22×D4164yes—
820C22×#41C22×D4116yes—
821C22×#41C22×D4164yes—
822C22×#41C22×D414yes—
823C22×#41C22×D414yes—
824C22×#41C22×D4116yes—
825C22×#41C22×D414yes—
826C22×#41C22×D414yes—
827C22×#41C22×D4116yes—
828C22×#41C22×D414yes—
829C22×#41C22×D418yes—
830C22×#41C22×D4116yes—
831C22×#41C22×D4116yes—
832C22×#41C22×D418yes—
833C22×#41C22×D418yes—
834C22×#41C22×D414yes—
835C22×#41C22×D418yes—
836C22×#41C22×D4116yes—
837C22×#41C22×D4116yes—
838C22×#41C22×D4116yes—
839C22×#41C22×D4164yes—
840C22×#41C22×D418yes—
841C22×#41C22×D4116yes—
842C22×#41C22×D418yes—
843C22×#41C22×D4116yes—
844C22×#41C22×D4116yes—
845C22×#41C22×D4164yes—
846C22×#41C22×D414yes—
847C22×#41C22×D414yes—
848C22×#41C22×D414yes—
849C22×#41C22×D4116yes—
850C22×#41C22×D414yes—
851C22×#41C22×D414yes—
852C22×#41C22×D4116yes—
853C22×#41C22×D4116yes—
854C22×#41C22×D414yes—
855C22×#41C22×D418yes—
856C22×#41C22×D4116yes—
857C22×#41C22×D418yes—
858C22×#41C22×D4116yes—
859C22×#41C22×D418yes—
860C22×#41C22×D418yes—
861C22×#41C22×D418yes—
862C22×#41C22×D4116yes—
863C22×#41C22×D418yes—
864C22×#41C2514yes—
865C22×#41C2518yes—
866C22×#41C2518yes—
867C22×#41C2518yes—
868C22×#41C2514yes—
869C22×#41C2518yes—
870C22×#41C2518yes—
871C22×#41C2518yes—
872C22×#41C2514yes—
873C22×#41C2518yes—
874C22×#41C2518yes—
875C22×#41C2514yes—
876C22×#41C2518yes—
877C22×#41C2518yes—
878C22×#41C2518yes—
879C22×#41C2518yes—
880C22×#41C2518yes—
881C22×#41C2518yes—
882C22×#41C2518yes—
883C22×#41C2518yes—
884C23×Q8#120116yes—
885C23×Q8#120116yes—
886C23×Q8C22×D412yes—
887C23×Q8C22×D412yes—
888C23×Q8C22×D412yes—
889C23×Q8C22×D412yes—
890C23×Q8C22×D418yes—
891C23×Q8C22×D412yes—
892C23×Q8C22×D412yes—
893C23×Q8C22×D418yes—
894C23×Q8C22×D418yes—
895C23×Q8C22×D418yes—
896C23×Q8C22×D412yes—
897C23×Q8C22×D412yes—
898C23×Q8C22×D412yes—
899C23×Q8C22×D412yes—
900C23×Q8C22×D412yes—
901C23×Q8C22×D418yes—
902C23×Q8C22×D412yes—
903C23×Q8C22×D418yes—
904C23×Q8C2514yes—
905C23×Q8C2512yes—
906C23×Q8C2512yes—
907C23×Q8C2514yes—
908C23×D4#120116yes—
909C23×D4#120116yes—
910C23×D4C22×D412yes—
911C23×D4C22×D412yes—
912C23×D4C22×D412yes—
913C23×D4C22×D418yes—
914C23×D4C22×D412yes—
915C23×D4C22×D4116yes—
916C23×D4C22×D4116yes—
917C23×D4C22×D4116yes—
918C23×D4C22×D4164yes—
919C23×D4C22×D412yes—
920C23×D4C22×D412yes—
921C23×D4C22×D418yes—
922C23×D4C22×D418yes—
923C23×D4C22×D418yes—
924C23×D4C22×D412yes—
925C23×D4C22×D412yes—
926C23×D4C22×D412yes—
927C23×D4C22×D418yes—
928C23×D4C22×D412yes—
929C23×D4C22×D412yes—
930C23×D4C22×D412yes—
931C23×D4C22×D418yes—
932C23×D4C2514yes—
933C23×D4C2518yes—
934C23×D4C2518yes—
935C23×D4C2518yes—
936C23×D4C2514yes—
937C23×D4C2512yes—
938C23×D4C2512yes—
939C23×D4C2514yes—
940C24×C4C22×D418yes—
941C24×C4C22×D411yescharacteristic
942C24×C4C22×D411yescharacteristic
943C24×C4C22×D411yescharacteristic
944C24×C4C22×D411yescharacteristic
945C24×C4C22×D411yescharacteristic
946C24×C4C22×D411yescharacteristic
947C24×C4C22×D411yescharacteristic
948C24×C4C22×D411yescharacteristic
949C24×C4C22×D418yes—
950C24×C4C22×D414yes—
951C24×C4C22×D414yes—
952C24×C4C22×D418yes—
953C24×C4H(5,𝔽2)11yescharacteristic
954C24×C4H(5,𝔽2)11yescharacteristic
955C24×C4H(5,𝔽2)11yescharacteristic
956C24×C4H(5,𝔽2)14yes—
957C24×C4H(5,𝔽2)18yes—
958C24×C4C2511yescharacteristic
959C24×C4C2511yescharacteristic
960C24×C4C2511yescharacteristic
961C24×C4C2514yes—
962#575C22×D41256yes—
963#575C22×D41256yescomplemented
964C2×#137C22×D4164yes—
965C2×#137C22×D4164yes—
966C2×#137C22×D4164yes—
967C2×#137C22×D4164yes—
968C2×#137C22×D4164yes—
969C2×#137C22×D41128yescomplemented
970C2×#137C22×D4164yescomplemented
971C2×#137C22×D4164yescomplemented
972C2×#137C22×D4164yescomplemented
973C2×#137C22×D4164yescomplemented
974C2×#137C25132yes—
975C2×#137C25132yes—
976C2×#137C25132yes—
977C2×#137C25132yescomplemented
978C2×AGL(1,ℤ/8)C22×D41256yes—
979C2×AGL(1,ℤ/8)C22×D4164yes—
980C2×AGL(1,ℤ/8)C22×D41128yes—
981C2×AGL(1,ℤ/8)C22×D4164yes—
982C2×AGL(1,ℤ/8)C22×D4164yes—
983C2×AGL(1,ℤ/8)C22×D4164yes—
984C2×AGL(1,ℤ/8)C22×D4164yes—
985C2×AGL(1,ℤ/8)C22×D41128yescomplemented
986C2×AGL(1,ℤ/8)C22×D41256yescomplemented
987C2×AGL(1,ℤ/8)C22×D41256yescomplemented
988C2×AGL(1,ℤ/8)C22×D4164yescomplemented
989C2×AGL(1,ℤ/8)C22×D4164yescomplemented
990C2×AGL(1,ℤ/8)C22×D4164yescomplemented
991C2×AGL(1,ℤ/8)C22×D4164yescomplemented
992C2×AGL(1,ℤ/8)C25132yes—
993C2×AGL(1,ℤ/8)C25132yes—
994C2×AGL(1,ℤ/8)C25164yes—
995C2×AGL(1,ℤ/8)C25132yes—
996C2×AGL(1,ℤ/8)C25164yes—
997C2×AGL(1,ℤ/8)C25132yescomplemented
998C2×#135C22×D4164yes—
999C2×#135C22×D4164yes—
1000C2×#135C22×D41128yescomplemented
1001C2×#135C22×D41128yescomplemented
1002C2×#135C25164yes—
1003C2×#135C25164yes—
1004C22×Q16C22×D4116yes—
1005C22×Q16C22×D4116yes—
1006C22×Q16C22×D4132yescomplemented
1007C22×Q16C22×D4132yescomplemented
1008C22×Q16C25116yescomplemented
1009C22×SD16C22×D4116yes—
1010C22×SD16C22×D4116yes—
1011C22×SD16C22×D4116yes—
1012C22×SD16C22×D4116yes—
1013C22×SD16C22×D4132yescomplemented
1014C22×SD16C22×D4132yescomplemented
1015C22×SD16C22×D4132yescomplemented
1016C22×SD16C22×D4132yescomplemented
1017C22×SD16C25132yes—
1018C22×SD16C25116yescomplemented
1019C22×SD16C25116yescomplemented
1020C22×D8C22×D4116yes—
1021C22×D8C22×D4116yes—
1022C22×D8C22×D4132yescomplemented
1023C22×D8C22×D4132yescomplemented
1024C22×D8C25132yes—
1025C22×D8C25116yescomplemented
1026C2×#131C25164yes—
1027C2×#131C25164yescomplemented
1028C22×M16C22×D4116yes—
1029C22×M16C22×D4116yes—
1030C22×M16C22×D4116yes—
1031C22×M16C22×D4164yes—
1032C22×M16C22×D4116yes—
1033C22×M16C22×D4116yes—
1034C22×M16C22×D4116yes—
1035C22×M16C22×D4164yes—
1036C22×M16C22×D414yes—
1037C22×M16C22×D414yes—
1038C22×M16C22×D4116yes—
1039C22×M16C22×D414yes—
1040C22×M16C22×D414yes—
1041C22×M16C22×D4116yes—
1042C22×M16C22×D414yes—
1043C22×M16C22×D414yes—
1044C22×M16C22×D4116yes—
1045C22×M16C22×D414yes—
1046C22×M16C22×D414yes—
1047C22×M16C22×D4116yes—
1048C22×M16C22×D4116yes—
1049C22×M16C22×D4116yes—
1050C22×M16C22×D418yes—
1051C22×M16C22×D418yes—
1052C22×M16C22×D418yes—
1053C22×M16C22×D418yes—
1054C22×M16C22×D4116yes—
1055C22×M16C22×D4116yes—
1056C22×M16C2514yes—
1057C22×M16C2514yes—
1058C22×M16C2518yes—
1059C22×M16C2518yes—
1060C22×M16C2518yes—
1061C22×M16C2518yes—
1062C22×M16C2518yes—
1063C22×M16C2518yes—
1064C22×M16C2514yes—
1065C22×M16C2518yes—
1066C22×M16C2518yes—
1067C22×M16C2518yes—
1068C22×M16C2514yes—
1069C22×M16C2518yes—
1070C22×M16C2518yes—
1071C22×M16C2518yes—
1072C22×M16C2518yes—
1073C22×M16C2518yes—
1074C22×M16C2518yes—
1075C22×M16C2518yes—
1076C23×C8C22×D414yes—
1077C23×C8C22×D414yes—
1078C23×C8C22×D414yes—
1079C23×C8C22×D418yes—
1080C23×C8C22×D414yes—
1081C23×C8C22×D418yes—
1082C23×C8C2514yes—
1083C23×C8C2518yes—
1084C23×C8C2514yes—
1085C23×C8C2518yes—
1086#537C25164yes—
1087C2×#127C25132yes—
1088C2×#124C25132yes—
1089C2×#117C2518yes—
1090C2×#117C2518yes—
1091C2×#117C2518yes—
1092C2×#117C2518yes—
1093C22×C4⋊C4C2518yes—
1094C22×C4⋊C4C2514yes—
1095C22×C42C2514yes—
1096C22×C42C2518yes—
1097C2×#104C25164yes—
1098C2×#104C25164yes—
1099C2×#104C25164yescomplemented
1100C2×#104C25164yescomplemented
1101#417C25164yes—
1102#417C25164yescomplemented
1103C2×#103C25132yescomplemented
1104C2×#102C25164yes—
1105C2×#102C25132yescomplemented
1106C2×#101C25132yescomplemented
1107C2×#101C25132yescomplemented
1108C2×#100C25164yes—
1109C2×#100C25132yescomplemented
1110C2×#100C25132yescomplemented
1111#408C25164yes—
1112#408C25164yescomplemented
1113#391C25132yescomplemented
1114#390C25132yescomplemented
1115#343C25164yescomplemented
1116#341C25164yescomplemented
1117#341C25164yescomplemented
1118#336C25164yescomplemented
1119C25#53418yes—
1120C25D4211yescharacteristic
1121C25D4211yescharacteristic
1122C25D4211yescharacteristic
1123C25D4211yescharacteristic
1124C25D4214yes—
1125C25D4218yes—
1126C25C2×H(5,𝔽2)11yescharacteristic
1127C25C2×H(5,𝔽2)11yescharacteristic
1128C25C2×H(5,𝔽2)11yescharacteristic
1129C25C2×H(5,𝔽2)14yes—
11302−1+4C23×D41128yes—
1131H(5,𝔽2)C23×D41128yes—
1132C2×#41C2×#120132yes—
1133C2×#41C2×#120132yes—
1134C2×#41C2×#120164yes—
1135C2×#41C2×#120132yes—
1136C2×#41C2×#1201128yes—
1137C2×#41C2×#120164yes—
1138C2×#41C2×#120132yes—
1139C2×#41C2×#120132yes—
1140C2×#41C2×#1201128yes—
1141C2×#41C2×#120132yes—
1142C2×#41C2×#1201128yes—
1143C2×#41C2×#120164yes—
1144C2×#41C2×#120164yes—
1145C2×#41C2×#1201128yes—
1146C2×#41C2×#120164yes—
1147C2×#41C2×#1201128yes—
1148C2×#41C2×#1201128yes—
1149C2×#41C2×#120164yes—
1150C2×#41C23×D4116yes—
1151C2×#41C23×D4116yes—
1152C2×#41C23×D4116yes—
1153C2×#41C23×D4116yes—
1154C2×#41C23×D4132yes—
1155C2×#41C23×D4132yes—
1156C2×#41C23×D4116yes—
1157C2×#41C23×D4116yes—
1158C2×#41C23×D418yes—
1159C2×#41C23×D418yes—
1160C2×#41C23×D4132yes—
1161C2×#41C23×D4132yes—
1162C2×#41C23×D4116yes—
1163C2×#41C23×D4116yes—
1164C2×#41C23×D418yes—
1165C2×#41C23×D418yes—
1166C2×#41C23×D4116yes—
1167C2×#41C23×D4116yes—
1168C2×#41C23×D4116yes—
1169C2×#41C23×D4116yes—
1170C2×#41C23×D4116yes—
1171C2×#41C23×D4116yes—
1172C2×#41C23×D4132yes—
1173C2×#41C23×D4132yes—
1174C2×#41C23×D4132yes—
1175C2×#41C23×D4132yes—
1176C2×#41C23×D4132yes—
1177C2×#41C23×D4132yes—
1178C2×#41C23×D4116yes—
1179C2×#41C23×D4116yes—
1180C2×#41C23×D4132yes—
1181C2×#41C23×D4132yes—
1182C2×#41C23×D4132yes—
1183C2×#41C23×D4132yes—
1184C2×#41C23×D4132yes—
1185C2×#41C23×D4132yes—
1186C2×#41C2618yes—
1187C2×#41C2618yes—
1188C2×#41C2618yes—
1189C2×#41C2618yes—
1190C22×Q8C2×#120116yes—
1191C22×Q8C2×#120116yes—
1192C22×Q8C2×#120116yes—
1193C22×Q8C2×#120164yes—
1194C22×Q8C2×#120116yes—
1195C22×Q8C2×#120116yes—
1196C22×Q8C2×#120116yes—
1197C22×Q8C2×#120164yes—
1198C22×Q8C23×D414yes—
1199C22×Q8C23×D414yes—
1200C22×Q8C23×D418yes—
1201C22×Q8C23×D418yes—
1202C22×Q8C23×D418yes—
1203C22×Q8C23×D4116yes—
1204C22×Q8C23×D418yes—
1205C22×Q8C23×D418yes—
1206C22×Q8C23×D418yes—
1207C22×Q8C23×D418yes—
1208C22×Q8C23×D418yes—
1209C22×Q8C23×D4116yes—
1210C22×Q8C23×D414yes—
1211C22×Q8C23×D418yes—
1212C22×Q8C23×D418yes—
1213C22×Q8C23×D418yes—
1214C22×Q8C23×D414yes—
1215C22×Q8C23×D418yes—
1216C22×Q8C23×D418yes—
1217C22×Q8C23×D418yes—
1218C22×Q8C2614yes—
1219C22×Q8C2614yes—
1220C22×D4C2×#120116yes—
1221C22×D4C2×#120116yes—
1222C22×D4C2×#120116yes—
1223C22×D4C2×#120164yes—
1224C22×D4C2×#120116yes—
1225C22×D4C2×#120116yes—
1226C22×D4C2×#120116yes—
1227C22×D4C2×#120164yes—
1228C22×D4C23×D414yes—
1229C22×D4C23×D414yes—
1230C22×D4C23×D418yes—
1231C22×D4C23×D418yes—
1232C22×D4C23×D4116yes—
1233C22×D4C23×D4132yes—
1234C22×D4C23×D418yes—
1235C22×D4C23×D4116yes—
1236C22×D4C23×D418yes—
1237C22×D4C23×D418yes—
1238C22×D4C23×D418yes—
1239C22×D4C23×D418yes—
1240C22×D4C23×D4132yes—
1241C22×D4C23×D4132yes—
1242C22×D4C23×D418yes—
1243C22×D4C23×D4116yes—
1244C22×D4C23×D414yes—
1245C22×D4C23×D418yes—
1246C22×D4C23×D418yes—
1247C22×D4C23×D418yes—
1248C22×D4C23×D414yes—
1249C22×D4C23×D418yes—
1250C22×D4C23×D418yes—
1251C22×D4C23×D418yes—
1252C22×D4C2618yes—
1253C22×D4C2614yes—
1254C22×D4C2614yes—
1255C23×C4C2×#12018yes—
1256C23×C4C2×#12018yes—
1257C23×C4C2×#12018yes—
1258C23×C4C2×#12018yes—
1259C23×C4C2×#12018yes—
1260C23×C4C2×#12018yes—
1261C23×C4C2×#12018yes—
1262C23×C4C2×#120132yes—
1263C23×C4C2×#12018yes—
1264C23×C4C2×#120132yes—
1265C23×C4#53418yes—
1266C23×C4#53418yes—
1267C23×C4#53418yes—
1268C23×C4#534132yes—
1269C23×C4D4218yes—
1270C23×C4D4211yescharacteristic
1271C23×C4D4211yescharacteristic
1272C23×C4D4211yescharacteristic
1273C23×C4D4211yescharacteristic
1274C23×C4D4211yescharacteristic
1275C23×C4D4211yescharacteristic
1276C23×C4D4214yes—
1277C23×C4D4214yes—
1278C23×C4D4214yes—
1279C23×C4D4214yes—
1280C23×C4D4211yescharacteristic
1281C23×C4D4218yes—
1282C23×C4D4211yescharacteristic
1283C23×C4D4214yes—
1284C23×C4D4214yes—
1285C23×C4D4218yes—
1286C23×C4D42132yes—
1287C23×C4D4214yes—
1288C23×C4D4214yes—
1289C23×C4D4214yes—
1290C23×C4D4214yes—
1291C23×C4D4211yescharacteristic
1292C23×C4D4211yescharacteristic
1293C23×C4D4211yescharacteristic
1294C23×C4D4211yescharacteristic
1295C23×C4D4214yes—
1296C23×C4D4218yes—
1297C23×C4D4218yes—
1298C23×C4D4218yes—
1299C23×C4D4218yes—
1300C23×C4D4218yes—
1301C23×C4D4218yes—
1302C23×C4D4218yes—
1303C23×C4D42132yes—
1304C23×C4D4218yes—
1305C23×C4D42132yes—
1306C23×C4C23×D414yes—
1307C23×C4C23×D414yes—
1308C23×C4C23×D414yes—
1309C23×C4C23×D4116yes—
1310C23×C4C23×D411yescharacteristic
1311C23×C4C23×D411yescharacteristic
1312C23×C4C23×D411yescharacteristic
1313C23×C4C23×D412yes—
1314C23×C4C23×D411yescharacteristic
1315C23×C4C23×D412yes—
1316C23×C4C23×D411yescharacteristic
1317C23×C4C23×D411yescharacteristic
1318C23×C4C23×D411yescharacteristic
1319C23×C4C23×D411yescharacteristic
1320C23×C4C23×D411yescharacteristic
1321C23×C4C23×D411yescharacteristic
1322C23×C4C23×D411yescharacteristic
1323C23×C4C23×D414yes—
1324C23×C4C23×D414yes—
1325C23×C4C23×D414yes—
1326C23×C4C23×D414yes—
1327C23×C4C23×D414yes—
1328C23×C4C23×D414yes—
1329C23×C4C23×D412yes—
1330C23×C4C23×D411yescharacteristic
1331C23×C4C23×D414yes—
1332C23×C4C23×D414yes—
1333C23×C4C23×D414yes—
1334C23×C4C23×D414yes—
1335C23×C4C23×D414yes—
1336C23×C4C23×D412yes—
1337C23×C4C23×D412yes—
1338C23×C4C23×D412yes—
1339C23×C4C23×D4116yes—
1340C23×C4C23×D414yes—
1341C23×C4C23×D4116yes—
1342C23×C4C23×D414yes—
1343C23×C4C23×D414yes—
1344C23×C4C2×H(5,𝔽2)14yes—
1345C23×C4C2×H(5,𝔽2)14yes—
1346C23×C4C2×H(5,𝔽2)14yes—
1347C23×C4C2×H(5,𝔽2)116yes—
1348C23×C4C2×H(5,𝔽2)11yescharacteristic
1349C23×C4C2×H(5,𝔽2)14yes—
1350C23×C4C2×H(5,𝔽2)12yes—
1351C23×C4C2×H(5,𝔽2)11yescharacteristic
1352C23×C4C2×H(5,𝔽2)14yes—
1353C23×C4C2×H(5,𝔽2)12yes—
1354C23×C4C2×H(5,𝔽2)12yes—
1355C23×C4C2×H(5,𝔽2)14yes—
1356C23×C4C2×H(5,𝔽2)11yescharacteristic
1357C23×C4C2612yes—
1358C23×C4C2611yescharacteristic
1359C23×C4C2612yes—
1360C23×C4C2612yes—
1361#137C23×D41128yes—
1362AGL(1,ℤ/8)C23×D41256yes—
1363AGL(1,ℤ/8)C23×D41128yes—
1364C2×Q16C23×D4164yes—
1365C2×Q16C23×D4164yes—
1366C2×SD16C23×D4164yes—
1367C2×SD16C23×D4164yes—
1368C2×SD16C23×D4164yes—
1369C2×SD16C23×D4164yes—
1370C2×D8C23×D4164yes—
1371C2×D8C23×D4164yes—
1372C2×M16C23×D4116yes—
1373C2×M16C23×D4116yes—
1374C2×M16C23×D4132yes—
1375C2×M16C23×D4132yes—
1376C2×M16C23×D4132yes—
1377C2×M16C23×D4132yes—
1378C2×M16C23×D4132yes—
1379C2×M16C23×D4132yes—
1380C2×M16C23×D4116yes—
1381C2×M16C23×D4116yes—
1382C2×M16C23×D4116yes—
1383C2×M16C23×D4116yes—
1384C2×M16C23×D4116yes—
1385C2×M16C23×D4116yes—
1386C2×M16C23×D4116yes—
1387C2×M16C23×D4116yes—
1388C2×M16C2618yes—
1389C2×M16C2618yes—
1390C2×M16C2618yes—
1391C2×M16C2618yes—
1392C22×C8C23×D418yes—
1393C22×C8C23×D4116yes—
1394C22×C8C23×D418yes—
1395C22×C8C23×D4116yes—
1396C22×C8C23×D418yes—
1397C22×C8C23×D4116yes—
1398C22×C8C23×D418yes—
1399C22×C8C23×D4116yes—
1400C22×C8C2618yes—
1401C22×C8C2618yes—
1402C2×C4⋊C4C2618yes—
1403C2×C42C2618yes—
1404C24#240318yes—
1405C24#240318yes—
1406C24#240318yes—
1407C24#240318yes—
1408C24#2403132yes—
1409C24C2×#53414yes—
1410C24C2×#53414yes—
1411C24C2×#53414yes—
1412C24C2×#534116yes—
1413C24C2×D4211yescharacteristic
1414C24C2×D4211yescharacteristic
1415C24C2×D4211yescharacteristic
1416C24C2×D4211yescharacteristic
1417C24C2×D4211yescharacteristic
1418C24C2×D4211yescharacteristic
1419C24C2×D4214yes—
1420C24C2×D4214yes—
1421C24C2×D4214yes—
1422C24C2×D4212yes—
1423C24C2×D4212yes—
1424C24C2×D4214yes—
1425C24C2×D4214yes—
1426C24C2×D4214yes—
1427C24C2×D4214yes—
1428C24C2×D4212yes—
1429C24C2×D42116yes—
1430C24C22×H(5,𝔽2)11yescharacteristic
1431C24C22×H(5,𝔽2)12yes—
1432C24C22×H(5,𝔽2)12yes—
1433C24C22×H(5,𝔽2)12yes—
1434#41C22×#120164yes—
1435#41C22×#120164yes—
1436#41C22×#120132yes—
1437#41C22×#120164yes—
1438#41C22×#120132yes—
1439#41C22×#120164yes—
1440#41C22×#120164yes—
1441#41C22×#120164yes—
1442#41C24×D4116yes—
1443#41C24×D4116yes—
1444#41C24×D4116yes—
1445#41C24×D4116yes—
1446C2×Q8C22×#120116yes—
1447C2×Q8C22×#120132yes—
1448C2×Q8C22×#120116yes—
1449C2×Q8C22×#120132yes—
1450C2×Q8C22×#120132yes—
1451C2×Q8C22×#120132yes—
1452C2×Q8C22×#120132yes—
1453C2×Q8C22×#120132yes—
1454C2×Q8C24×D418yes—
1455C2×Q8C24×D418yes—
1456C2×Q8C24×D418yes—
1457C2×Q8C24×D418yes—
1458C2×Q8C24×D418yes—
1459C2×Q8C24×D418yes—
1460C2×D4C22×#120116yes—
1461C2×D4C22×#120132yes—
1462C2×D4C22×#120116yes—
1463C2×D4C22×#120132yes—
1464C2×D4C22×#120132yes—
1465C2×D4C22×#120132yes—
1466C2×D4C22×#120132yes—
1467C2×D4C22×#120132yes—
1468C2×D4C24×D418yes—
1469C2×D4C24×D418yes—
1470C2×D4C24×D4116yes—
1471C2×D4C24×D418yes—
1472C2×D4C24×D418yes—
1473C2×D4C24×D418yes—
1474C2×D4C24×D418yes—
1475C22×C4#240318yes—
1476C22×C4#240318yes—
1477C22×C4#240318yes—
1478C22×C4#240318yes—
1479C22×C4#2403132yes—
1480C22×C4#240318yes—
1481C22×C4#2403132yes—
1482C22×C4#240318yes—
1483C22×C4#240318yes—
1484C22×C4#240318yes—
1485C22×C4#240318yes—
1486C22×C4#240318yes—
1487C22×C4#2403132yes—
1488C22×C4#240318yes—
1489C22×C4#2403132yes—
1490C22×C4#2403132yes—
1491C22×C4#2403132yes—
1492C22×C4#240318yes—
1493C22×C4#2403132yes—
1494C22×C4#2403132yes—
1495C22×C4#2403132yes—
1496C22×C4#2403132yes—
1497C22×C4#2403132yes—
1498C22×C4C22×#12014yes—
1499C22×C4C22×#12014yes—
1500C22×C4C22×#12014yes—
1501C22×C4C22×#12014yes—
1502C22×C4C22×#12014yes—
1503C22×C4C22×#12014yes—
1504C22×C4C22×#12018yes—
1505C22×C4C22×#12014yes—
1506C22×C4C22×#12014yes—
1507C22×C4C22×#120116yes—
1508C22×C4C22×#120116yes—
1509C22×C4C22×#12018yes—
1510C22×C4C22×#12014yes—
1511C22×C4C22×#12014yes—
1512C22×C4C22×#12014yes—
1513C22×C4C22×#120116yes—
1514C22×C4C22×#12014yes—
1515C22×C4C22×#120116yes—
1516C22×C4C22×#120116yes—
1517C22×C4C22×#120116yes—
1518C22×C4C22×#12018yes—
1519C22×C4C22×#120116yes—
1520C22×C4C22×#12018yes—
1521C22×C4C22×#12018yes—
1522C22×C4C22×#120116yes—
1523C22×C4C22×#12018yes—
1524C22×C4C2×#53414yes—
1525C22×C4C2×#53414yes—
1526C22×C4C2×#534116yes—
1527C22×C4C2×#53414yes—
1528C22×C4C2×#534116yes—
1529C22×C4C2×#53418yes—
1530C22×C4C2×#53418yes—
1531C22×C4C2×#53418yes—
1532C22×C4C2×#534116yes—
1533C22×C4C2×D4214yes—
1534C22×C4C2×D4214yes—
1535C22×C4C2×D4214yes—
1536C22×C4C2×D4214yes—
1537C22×C4C2×D4212yes—
1538C22×C4C2×D4212yes—
1539C22×C4C2×D4218yes—
1540C22×C4C2×D4214yes—
1541C22×C4C2×D4212yes—
1542C22×C4C2×D4214yes—
1543C22×C4C2×D4212yes—
1544C22×C4C2×D4214yes—
1545C22×C4C2×D42116yes—
1546C22×C4C2×D4212yes—
1547C22×C4C2×D4212yes—
1548C22×C4C2×D4212yes—
1549C22×C4C2×D4214yes—
1550C22×C4C2×D4214yes—
1551C22×C4C2×D4212yes—
1552C22×C4C2×D4214yes—
1553C22×C4C2×D4214yes—
1554C22×C4C2×D4214yes—
1555C22×C4C2×D4214yes—
1556C22×C4C2×D4212yes—
1557C22×C4C2×D4212yes—
1558C22×C4C2×D4212yes—
1559C22×C4C2×D4212yes—
1560C22×C4C2×D4212yes—
1561C22×C4C2×D4212yes—
1562C22×C4C2×D4214yes—
1563C22×C4C2×D42116yes—
1564C22×C4C2×D4214yes—
1565C22×C4C2×D4218yes—
1566C22×C4C2×D4218yes—
1567C22×C4C2×D42116yes—
1568C22×C4C2×D4212yes—
1569C22×C4C2×D4211yescharacteristic
1570C22×C4C2×D4211yescharacteristic
1571C22×C4C2×D4211yescharacteristic
1572C22×C4C2×D4211yescharacteristic
1573C22×C4C2×D4211yescharacteristic
1574C22×C4C2×D4211yescharacteristic
1575C22×C4C2×D4214yes—
1576C22×C4C2×D4214yes—
1577C22×C4C2×D4214yes—
1578C22×C4C2×D4214yes—
1579C22×C4C2×D4214yes—
1580C22×C4C2×D42116yes—
1581C22×C4C2×D4214yes—
1582C22×C4C2×D42116yes—
1583C22×C4C2×D4214yes—
1584C22×C4C2×D4214yes—
1585C22×C4C2×D4214yes—
1586C22×C4C2×D4214yes—
1587C22×C4C2×D42116yes—
1588C22×C4C2×D42116yes—
1589C22×C4C2×D4214yes—
1590C22×C4C2×D42116yes—
1591C22×C4C2×D4214yes—
1592C22×C4C2×D42116yes—
1593C22×C4C2×D4218yes—
1594C22×C4C2×D4218yes—
1595C22×C4C2×D4218yes—
1596C22×C4C2×D42116yes—
1597C22×C4C2×D4218yes—
1598C22×C4C2×D42116yes—
1599C22×C4C2×D4218yes—
1600C22×C4C2×D4218yes—
1601C22×C4C24×D412yes—
1602C22×C4C24×D414yes—
1603C22×C4C24×D414yes—
1604C22×C4C24×D414yes—
1605C22×C4C24×D412yes—
1606C22×C4C24×D412yes—
1607C22×C4C24×D414yes—
1608C22×C4C24×D414yes—
1609C22×C4C24×D412yes—
1610C22×C4C24×D412yes—
1611C22×C4C24×D412yes—
1612C22×C4C24×D411yescharacteristic
1613C22×C4C24×D411yescharacteristic
1614C22×C4C24×D412yes—
1615C22×C4C24×D412yes—
1616C22×C4C24×D412yes—
1617C22×C4C24×D412yes—
1618C22×C4C24×D412yes—
1619C22×C4C24×D412yes—
1620C22×C4C24×D412yes—
1621C22×C4C24×D412yes—
1622C22×C4C24×D414yes—
1623C22×C4C24×D414yes—
1624C22×C4C24×D412yes—
1625C22×C4C24×D414yes—
1626C22×C4C24×D414yes—
1627C22×C4C24×D411yescharacteristic
1628C22×C4C24×D411yescharacteristic
1629C22×C4C22×H(5,𝔽2)12yes—
1630C22×C4C22×H(5,𝔽2)14yes—
1631C22×C4C22×H(5,𝔽2)14yes—
1632C22×C4C22×H(5,𝔽2)14yes—
1633C22×C4C22×H(5,𝔽2)12yes—
1634C22×C4C22×H(5,𝔽2)12yes—
1635C22×C4C22×H(5,𝔽2)11yescharacteristic
1636C22×C4C22×H(5,𝔽2)12yes—
1637C22×C4C2711yescharacteristic
1638M16C24×D4116yes—
1639M16C24×D4116yes—
1640C2×C8C24×D4116yes—
1641C2×C8C24×D4116yes—
1642C23C2×#240314yes—
1643C23C2×#240314yes—
1644C23C2×#240314yes—
1645C23C2×#240314yes—
1646C23C2×#240314yes—
1647C23C2×#240314yes—
1648C23C2×#2403116yes—
1649C23C2×#2403116yes—
1650C23C2×#240318yes—
1651C23C2×#240318yes—
1652C23C2×#2403116yes—
1653C23C2×#2403116yes—
1654C23C2×#240318yes—
1655C23C22×#53412yes—
1656C23C22×#53414yes—
1657C23C22×#53414yes—
1658C23C22×#53414yes—
1659C23C22×D4212yes—
1660C23C22×D4212yes—
1661C23C22×D4212yes—
1662C23C22×D4212yes—
1663C23C22×D4212yes—
1664C23C22×D4212yes—
1665C23C22×D4212yes—
1666C23C22×D4211yescharacteristic
1667C23C22×D4214yes—
1668C23C22×D4214yes—
1669C23C22×D4214yes—
1670C23C22×D4211yescharacteristic
1671C23C23×H(5,𝔽2)11yescharacteristic
1672Q8C23×#120116yes—
1673Q8C23×#120116yes—
1674D4C23×#120116yes—
1675D4C23×#120116yes—
1676C2×C4C2×#240314yes—
1677C2×C4C2×#240314yes—
1678C2×C4C2×#2403116yes—
1679C2×C4C2×#240314yes—
1680C2×C4C2×#2403116yes—
1681C2×C4C2×#240314yes—
1682C2×C4C2×#240318yes—
1683C2×C4C2×#2403116yes—
1684C2×C4C2×#240318yes—
1685C2×C4C2×#240318yes—
1686C2×C4C2×#2403116yes—
1687C2×C4C2×#240318yes—
1688C2×C4C2×#240318yes—
1689C2×C4C2×#240318yes—
1690C2×C4C2×#2403116yes—
1691C2×C4C2×#240314yes—
1692C2×C4C2×#240314yes—
1693C2×C4C2×#2403116yes—
1694C2×C4C2×#2403116yes—
1695C2×C4C2×#2403116yes—
1696C2×C4C2×#2403116yes—
1697C2×C4C2×#240318yes—
1698C2×C4C2×#240318yes—
1699C2×C4C2×#240318yes—
1700C2×C4C2×#2403116yes—
1701C2×C4C2×#240318yes—
1702C2×C4C2×#2403116yes—
1703C2×C4C2×#240318yes—
1704C2×C4C2×#240318yes—
1705C2×C4C2×#240318yes—
1706C2×C4C2×#2403116yes—
1707C2×C4C2×#240318yes—
1708C2×C4C2×#240318yes—
1709C2×C4C23×#12012yes—
1710C2×C4C23×#12012yes—
1711C2×C4C23×#12014yes—
1712C2×C4C23×#12014yes—
1713C2×C4C23×#12014yes—
1714C2×C4C23×#12014yes—
1715C2×C4C23×#12014yes—
1716C2×C4C23×#12014yes—
1717C2×C4C23×#12012yes—
1718C2×C4C23×#12014yes—
1719C2×C4C23×#12012yes—
1720C2×C4C23×#12014yes—
1721C2×C4C23×#12014yes—
1722C2×C4C23×#12014yes—
1723C2×C4C23×#12014yes—
1724C2×C4C23×#12014yes—
1725C2×C4C22×#53414yes—
1726C2×C4C22×#53414yes—
1727C2×C4C22×#53414yes—
1728C2×C4C22×#53412yes—
1729C2×C4C22×D4212yes—
1730C2×C4C22×D4212yes—
1731C2×C4C22×D4212yes—
1732C2×C4C22×D4212yes—
1733C2×C4C22×D4214yes—
1734C2×C4C22×D4212yes—
1735C2×C4C22×D4212yes—
1736C2×C4C22×D4211yescharacteristic
1737C2×C4C22×D4211yescharacteristic
1738C2×C4C22×D4212yes—
1739C2×C4C22×D4214yes—
1740C2×C4C22×D4214yes—
1741C2×C4C22×D4212yes—
1742C2×C4C22×D4212yes—
1743C2×C4C22×D4214yes—
1744C2×C4C22×D4214yes—
1745C2×C4C22×D4214yes—
1746C2×C4C22×D4214yes—
1747C2×C4C22×D4214yes—
1748C2×C4C22×D4214yes—
1749C2×C4C22×D4214yes—
1750C2×C4C22×D4214yes—
1751C2×C4C22×D4214yes—
1752C2×C4C22×D4214yes—
1753C2×C4C22×D4214yes—
1754C2×C4C22×D4214yes—
1755C2×C4C22×D4212yes—
1756C2×C4C22×D4212yes—
1757C2×C4C25×D411yescharacteristic
1758C2×C4C25×D411yescharacteristic
1759C2×C4C25×D411yescharacteristic
1760C2×C4C25×D411yescharacteristic
1761C2×C4C25×D411yescharacteristic
1762C2×C4C23×H(5,𝔽2)11yescharacteristic
1763C22C22×#240314yes—
1764C22C22×#240314yes—
1765C22C22×#240314yes—
1766C22C22×#240314yes—
1767C22C22×#240314yes—
1768C22C22×#240312yes—
1769C22C22×#240314yes—
1770C22C22×#240312yes—
1771C22#1057617814yes—
1772C22C23×#53411yescharacteristic
1773C22C23×D4211yescharacteristic
1774C22C23×D4211yescharacteristic
1775C4C22×#240314yes—
1776C4C22×#240314yes—
1777C4C22×#240314yes—
1778C4C22×#240314yes—
1779C4C22×#240312yes—
1780C4C22×#240312yes—
1781C4C22×#240314yes—
1782C4C22×#240314yes—
1783C4C24×#12011yescharacteristic
1784C4C24×#12011yescharacteristic
1785C4C23×D4211yescharacteristic
1786C4C23×D4211yescharacteristic
1787C2C23×#240311yescharacteristic
1788C2#7223750514yesdirect product factor
1789C2C2×#1057617812yes—
subgroupG/H
center, socleC23C22×D42
commutator, Frattini, cosocleC22×C4C27
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C25×C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#6431784C2semidirect
2. C2×#6437611C2semidirect
3. C2×#6437610C2semidirect
4. C2×#6437606C2semidirect
5. C2×#6437604C2semidirect
6. C2×#6431733C2semidirect
7. C2×#6370746C2semidirect
8. C22×#23439C2semidirect
9. C2×#6371536C2semidirect
10. C2×#6371397C2semidirect
11. C2×#6371397C2semidirect
12. C2×#6437602C2semidirect
13. C22×#21005C2semidirect
14. C2×#10574839C2semidirect
15. C2×#6431764C2semidirect
16. C22×#63090C2semidirect
17. C22×#60367C2semidirect
18. C23×#3019C2semidirect
19. C23×#3021C2semidirect
20. C23×#3585C2semidirect
21. #72237505C2direct (N × H)
23. C23×#585C22semidirect
24. C24×H(5,𝔽2)C22semidirect
25. C2×#63090C22semidirect
26. C22×#3584C22semidirect
27. C22×#3586C22semidirect
28. C22×#3586C22semidirect
29. C22×#3585C22semidirect
30. C22×#3585C22semidirect
31. C22×#3585C22semidirect
32. C22×#3585C22semidirect
33. C22×#3585C22semidirect
34. C23×#577C22semidirect
35. C23×#576C22semidirect
39. C23×#575C22semidirect
40. C23×#575C22semidirect
41. C23×#575C22semidirect
42. C23×#575C22semidirect
44. C24×AGL(1,ℤ/8)C22semidirect
45. C24×AGL(1,ℤ/8)C22semidirect
46. C23×#568C22semidirect
47. C23×#568C22semidirect
48. C22×#3449C22semidirect
49. C23×#535C22semidirect
50. C23×#455C22semidirect
51. #10574839C22semidirect
52. C2×#60366C22semidirect
53. C2×#60371C22semidirect
54. C2×#60368C22semidirect
55. C2×#60367C22semidirect
56. C2×#60367C22semidirect
57. C2×#60367C22semidirect
58. C2×#60367C22semidirect
59. C22×#3012C22semidirect
60. C22×#3021C22semidirect
61. C22×#3021C22semidirect
62. C22×#3021C22semidirect
63. C22×#3019C22semidirect
64. C22×#3019C22semidirect
65. C22×#3019C22semidirect
66. C23×#454C22semidirect
67. C23×#453C22semidirect
68. C23×#453C22semidirect
69. C22×#2879C22semidirect
70. C22×#2879C22semidirect
71. C22×#2896C22semidirect
72. C22×#2896C22semidirect
73. C22×#2896C22semidirect
74. C23×#413C22semidirect
75. C23×#413C22semidirect
76. C23×#421C22semidirect
77. C23×#421C22semidirect
78. C23×#421C22semidirect
79. C23×#421C22semidirect
80. C23×#418C22semidirect
81. C24×#100C22semidirect
82. C2×#34044C22semidirect
83. #6437611C22semidirect
84. #6437610C22semidirect
85. #6437606C22semidirect
86. #6437604C22semidirect
87. #6437602C22semidirect
88. C2×#23889C22semidirect
89. C2×#23890C22semidirect
90. C2×#23888C22semidirect
91. C2×#23886C22semidirect
92. #6431784C22semidirect
93. C2×#23440C22semidirect
94. C2×#23440C22semidirect
95. C2×#23439C22semidirect
96. C2×#23439C22semidirect
97. C2×#23439C22semidirect
98. C2×#23439C22semidirect
99. C2×#23439C22semidirect
100. C2×#23438C22semidirect
101. C22×#2019C22semidirect
102. C22×#2018C22semidirect
103. #6431764C22semidirect
104. C2×#23426C22semidirect
105. C2×#23423C22semidirect
106. C2×#23422C22semidirect
107. C2×#23431C22semidirect
108. C2×#23430C22semidirect
109. #6431733C22semidirect
110. C2×#23408C22semidirect
111. C2×#23407C22semidirect
112. C2×#23409C22semidirect
113. C2×#23406C22semidirect
114. #6371536C22semidirect
115. C2×#21006C22semidirect
116. C2×#21005C22semidirect
117. C2×#21005C22semidirect
118. C2×#21005C22semidirect
119. C2×#21005C22semidirect
120. C2×#21004C22semidirect
121. C2×#21003C22semidirect
122. C22×#1907C22semidirect
123. #6371397C22semidirect
124. #6371397C22semidirect
125. C2×#20919C22semidirect
126. C2×#20919C22semidirect
127. C2×#20918C22semidirect
128. C2×#20918C22semidirect
129. C2×#20917C22semidirect
130. C2×#20917C22semidirect
131. #6370746C22semidirect
132. C2×#20618C22semidirect
133. C2×#20617C22semidirect
134. C2×#20616C22semidirect
135. C2×#20615C22semidirect
136. C22×#1742C22semidirect
137. C22×#1738C22semidirect
138. C22×#1738C22semidirect
139. C2×#20335C22semidirect
140. C22×#585D4semidirect
144. C22×#585C23semidirect
145. C22×#585C23semidirect
146. C22×#585C23semidirect
148. C23×2−1+4C23semidirect
151. C23×H(5,𝔽2)C23semidirect
152. C23×H(5,𝔽2)C23semidirect
153. C23×H(5,𝔽2)C23semidirect
154. C23×H(5,𝔽2)C23semidirect
162. C2×#3586C23semidirect
163. C2×#3586C23semidirect
164. C2×#3585C23semidirect
165. C2×#3585C23semidirect
166. C2×#3585C23semidirect
167. C2×#3585C23semidirect
168. C2×#3584C23semidirect
169. C22×#578C23semidirect
170. C22×#577C23semidirect
171. C22×#577C23semidirect
172. C22×#577C23semidirect
173. C22×#577C23semidirect
174. C22×#576C23semidirect
175. C22×#576C23semidirect
176. C22×#576C23semidirect
177. C22×#575D4semidirect
178. C22×#575D4semidirect
179. C22×#575D4semidirect
180. C22×#575D4semidirect
181. C22×#575D4semidirect
182. C22×#575D4semidirect
183. C22×#575D4semidirect
195. C22×#575C23semidirect
196. C22×#575C23semidirect
197. C22×#575C23semidirect
198. C22×#575C23semidirect
199. C22×#575C23semidirect
200. C22×#575C23semidirect
201. C22×#575C23semidirect
202. C22×#575C23semidirect
203. C23×#137D4semidirect
204. C23×#137D4semidirect
205. C23×#137D4semidirect
206. C23×#137D4semidirect
208. C23×#137C23semidirect
209. C23×#137C23semidirect
210. C23×#137C23semidirect
211. C23×#137C23semidirect
212. C23×#137C23semidirect
213. C23×AGL(1,ℤ/8)D4semidirect
214. C23×AGL(1,ℤ/8)D4semidirect
215. C23×AGL(1,ℤ/8)D4semidirect
216. C23×AGL(1,ℤ/8)D4semidirect
217. C23×AGL(1,ℤ/8)D4semidirect
225. C23×AGL(1,ℤ/8)C23semidirect
226. C23×AGL(1,ℤ/8)C23semidirect
227. C23×AGL(1,ℤ/8)C23semidirect
228. C23×AGL(1,ℤ/8)C23semidirect
229. C23×AGL(1,ℤ/8)C23semidirect
230. C23×AGL(1,ℤ/8)C23semidirect
231. C23×AGL(1,ℤ/8)C23semidirect
232. C23×AGL(1,ℤ/8)C23semidirect
233. C23×AGL(1,ℤ/8)C23semidirect
234. C23×AGL(1,ℤ/8)C23semidirect
237. C23×#135C23semidirect
238. C24×SD16C23semidirect
239. C24×D8C23semidirect
241. C22×#568C23semidirect
242. C22×#568C23semidirect
243. C22×#568C23semidirect
244. C22×#568C23semidirect
245. C22×#568C23semidirect
246. C23×#131C23semidirect
247. C23×#131C23semidirect
255. C2×#3449C23semidirect
256. C2×#3449C23semidirect
257. C22×#537C23semidirect
259. C22×#535C23semidirect
260. C22×#535C23semidirect
261. C23×#127C23semidirect
262. C23×#124C23semidirect
265. C2×#3021C23semidirect
266. C2×#3021C23semidirect
267. C2×#3019C23semidirect
268. C2×#3019C23semidirect
269. C22×#454C23semidirect
270. C22×#454C23semidirect
271. C22×#455C23semidirect
272. C22×#455C23semidirect
273. C22×#453C23semidirect
274. C22×#453C23semidirect
275. C22×#453C23semidirect
276. C22×#453C23semidirect
277. #60371C23semidirect
278. #60368C23semidirect
279. #60367C23semidirect
280. #60367C23semidirect
281. #60367C23semidirect
282. #60366C23semidirect
283. C2×#3013C23semidirect
284. C2×#3012C23semidirect
285. C2×#3012C23semidirect
286. C2×#3012C23semidirect
287. C22×#421C23semidirect
288. C22×#421C23semidirect
289. C22×#421C23semidirect
290. C22×#421C23semidirect
291. C22×#421C23semidirect
292. C22×#421C23semidirect
293. C22×#421C23semidirect
294. C22×#421C23semidirect
295. C22×#421C23semidirect
296. C22×#421C23semidirect
297. C22×#421C23semidirect
298. C22×#421C23semidirect
300. C23×#104C23semidirect
301. C23×#104C23semidirect
302. C23×#104C23semidirect
304. C2×#2896C23semidirect
305. C2×#2896C23semidirect
306. C2×#2896C23semidirect
307. C2×#2896C23semidirect
308. C2×#2896C23semidirect
309. C2×#2896C23semidirect
310. C22×#417C23semidirect
311. C22×#417C23semidirect
312. C22×#417C23semidirect
313. C22×#419C23semidirect
314. C22×#418C23semidirect
315. C22×#418C23semidirect
316. C22×#418C23semidirect
317. C22×#418C23semidirect
318. C22×#416C23semidirect
319. C23×#102C23semidirect
320. C22×#413C23semidirect
321. C22×#413C23semidirect
322. C22×#413C23semidirect
323. C22×#413C23semidirect
324. C22×#413C23semidirect
325. C22×#413C23semidirect
326. C23×#101C23semidirect
327. C23×#101C23semidirect
328. C23×#100C23semidirect
329. C23×#100C23semidirect
330. C23×#100C23semidirect
331. C23×#100C23semidirect
332. C23×#100C23semidirect
333. C23×#100C23semidirect
334. C2×#2879C23semidirect
335. C2×#2879C23semidirect
336. C2×#2879C23semidirect
337. C2×#2879C23semidirect
338. C2×#2879C23semidirect
339. C2×#2879C23semidirect
340. C22×#408C23semidirect
341. C22×#408C23semidirect
342. #34044C23semidirect
343. C2×#2311C23semidirect
344. C2×#2310C23semidirect
345. C2×#2309C23semidirect
346. C2×#2297C23semidirect
347. #23890C23semidirect
348. #23889C23semidirect
349. #23888C23semidirect
350. #23886C23semidirect
351. #23440C23semidirect
352. #23440C23semidirect
353. #23439C23semidirect
354. #23439C23semidirect
355. #23439C23semidirect
356. #23439C23semidirect
357. #23438C23semidirect
358. C2×#2020C23semidirect
359. C2×#2019C23semidirect
360. C2×#2019C23semidirect
361. C2×#2019C23semidirect
362. C2×#2019C23semidirect
363. C2×#2018C23semidirect
364. C2×#2018C23semidirect
365. C2×#2018C23semidirect
366. #23431C23semidirect
367. #23430C23semidirect
368. #23426C23semidirect
369. #23423C23semidirect
370. #23422C23semidirect
371. C2×#2015C23semidirect
372. C2×#2012C23semidirect
373. C2×#2014C23semidirect
374. C2×#2011C23semidirect
375. #23409C23semidirect
376. #23408C23semidirect
377. #23407C23semidirect
378. #23406C23semidirect
379. C2×#2007C23semidirect
380. C2×#2006C23semidirect
381. #21006C23semidirect
382. #21005C23semidirect
383. #21005C23semidirect
384. #21005C23semidirect
385. #21004C23semidirect
386. #21003C23semidirect
387. C2×#1908C23semidirect
388. C2×#1907C23semidirect
389. C2×#1907C23semidirect
390. C2×#1907C23semidirect
391. #20919C23semidirect
392. #20919C23semidirect
393. #20918C23semidirect
394. #20918C23semidirect
395. #20917C23semidirect
396. #20917C23semidirect
397. C2×#1876C23semidirect
398. C2×#1876C23semidirect
399. #20618C23semidirect
400. #20617C23semidirect
401. #20616C23semidirect
402. #20615C23semidirect
403. C2×#1793C23semidirect
404. C2×#1792C23semidirect
405. C2×#1742C23semidirect
406. C2×#1742C23semidirect
407. C2×#1742C23semidirect
408. C22×#343C23semidirect
409. C2×#1738C23semidirect
410. C2×#1738C23semidirect
411. C2×#1738C23semidirect
412. C2×#1738C23semidirect
413. C2×#1738C23semidirect
414. C2×#1738C23semidirect
415. C22×#341C23semidirect
416. C22×#341C23semidirect
417. #20335C23semidirect
418. C2×#1729C23semidirect
419. C2×#1729C23semidirect
420. C2×#1728C23semidirect
421. C2×#585C2×D4semidirect
422. C2×#585C2×D4semidirect
423. C2×#585C2×D4semidirect
426. C2×#585C24semidirect
427. C2×#585C24semidirect
428. C22×2−1+4C2×D4semidirect
431. C22×2−1+4C24semidirect
432. C22×2−1+4C24semidirect
433. C22×H(5,𝔽2)C2×D4semidirect
438. C22×H(5,𝔽2)C24semidirect
439. C22×H(5,𝔽2)C24semidirect
440. C22×H(5,𝔽2)C24semidirect
441. C22×H(5,𝔽2)C24semidirect
504. C2×#578C24semidirect
505. C2×#577C24semidirect
506. C2×#577C24semidirect
507. C2×#577C24semidirect
508. C2×#576C24semidirect
509. C2×#576C24semidirect
513. C2×#575C2×D4semidirect
514. C2×#575C2×D4semidirect
515. C2×#575C2×D4semidirect
516. C2×#575C2×D4semidirect
517. C2×#575C2×D4semidirect
518. C2×#575C2×D4semidirect
519. C2×#575C2×D4semidirect
520. C2×#575C2×D4semidirect
529. C2×#575C24semidirect
530. C2×#575C24semidirect
531. C2×#575C24semidirect
532. C2×#575C24semidirect
537. C22×#137C2×D4semidirect
538. C22×#137C2×D4semidirect
539. C22×#137C2×D4semidirect
540. C22×#137C2×D4semidirect
541. C22×#137C2×D4semidirect
542. C22×#137C2×D4semidirect
543. C22×#137C2×D4semidirect
544. C22×#137C2×D4semidirect
545. C22×#137C2×D4semidirect
550. C22×#137C24semidirect
551. C22×#137C24semidirect
552. C22×#137C24semidirect
553. C22×#137C24semidirect
554. C22×#137C24semidirect
555. C22×#137C24semidirect
561. C22×AGL(1,ℤ/8)C2×D4semidirect
562. C22×AGL(1,ℤ/8)C2×D4semidirect
563. C22×AGL(1,ℤ/8)C2×D4semidirect
564. C22×AGL(1,ℤ/8)C2×D4semidirect
565. C22×AGL(1,ℤ/8)C2×D4semidirect
566. C22×AGL(1,ℤ/8)C2×D4semidirect
567. C22×AGL(1,ℤ/8)C2×D4semidirect
568. C22×AGL(1,ℤ/8)C2×D4semidirect
569. C22×AGL(1,ℤ/8)C2×D4semidirect
570. C22×AGL(1,ℤ/8)C2×D4semidirect
571. C22×AGL(1,ℤ/8)C2×D4semidirect
572. C22×AGL(1,ℤ/8)C2×D4semidirect
584. C22×AGL(1,ℤ/8)C24semidirect
585. C22×AGL(1,ℤ/8)C24semidirect
586. C22×AGL(1,ℤ/8)C24semidirect
587. C22×AGL(1,ℤ/8)C24semidirect
588. C22×AGL(1,ℤ/8)C24semidirect
589. C22×AGL(1,ℤ/8)C24semidirect
590. C22×AGL(1,ℤ/8)C24semidirect
591. C22×AGL(1,ℤ/8)C24semidirect
592. C22×AGL(1,ℤ/8)C24semidirect
593. C22×#135C2×D4semidirect
594. C22×#135C2×D4semidirect
595. C22×#135C2×D4semidirect
596. C22×#135C2×D4semidirect
601. C22×#135C24semidirect
602. C23×Q16C2×D4semidirect
603. C23×Q16C2×D4semidirect
604. C23×Q16C24semidirect
605. C23×SD16C2×D4semidirect
606. C23×SD16C2×D4semidirect
607. C23×SD16C2×D4semidirect
608. C23×SD16C2×D4semidirect
610. C23×SD16C24semidirect
611. C23×SD16C24semidirect
612. C23×SD16C24semidirect
613. C23×D8C2×D4semidirect
614. C23×D8C2×D4semidirect
616. C23×D8C24semidirect
617. C23×D8C24semidirect
619. C2×#568C24semidirect
620. C2×#568C24semidirect
621. C2×#568C24semidirect
623. C22×#131C24semidirect
624. C22×#131C24semidirect
625. C22×#131C24semidirect
663. #3449C24semidirect
665. C2×#537C24semidirect
667. C2×#535C24semidirect
669. C22×#127C24semidirect
671. C22×#124C24semidirect
680. C2×#454C24semidirect
681. C2×#455C24semidirect
682. C2×#453C24semidirect
683. C2×#453C24semidirect
684. #3013C24semidirect
685. #3012C24semidirect
686. #3012C24semidirect
687. C2×#421C24semidirect
688. C2×#421C24semidirect
689. C2×#421C24semidirect
690. C2×#421C24semidirect
691. C2×#421C24semidirect
692. C2×#421C24semidirect
693. C2×#421C24semidirect
694. C2×#421C24semidirect
698. C22×#104C24semidirect
699. C22×#104C24semidirect
700. C22×#104C24semidirect
701. C22×#104C24semidirect
702. C22×#104C24semidirect
704. #2896C24semidirect
705. #2896C24semidirect
706. #2896C24semidirect
708. C2×#417C24semidirect
709. C2×#417C24semidirect
710. C2×#417C24semidirect
711. C2×#417C24semidirect
712. C2×#419C24semidirect
713. C2×#418C24semidirect
714. C2×#418C24semidirect
715. C2×#418C24semidirect
716. C2×#416C24semidirect
717. C22×#103C24semidirect
719. C22×#102C24semidirect
720. C22×#102C24semidirect
721. C2×#413C24semidirect
722. C2×#413C24semidirect
723. C2×#413C24semidirect
724. C2×#413C24semidirect
725. C22×#101C24semidirect
726. C22×#101C24semidirect
727. C22×#101C24semidirect
728. C22×#101C24semidirect
730. C22×#100C24semidirect
731. C22×#100C24semidirect
732. C22×#100C24semidirect
733. C22×#100C24semidirect
734. C22×#100C24semidirect
735. C22×#100C24semidirect
736. C22×#100C24semidirect
737. #2879C24semidirect
738. #2879C24semidirect
739. #2879C24semidirect
740. #2879C24semidirect
742. C2×#408C24semidirect
743. C2×#408C24semidirect
744. C2×#408C24semidirect
745. #2311C24semidirect
746. #2310C24semidirect
747. #2309C24semidirect
748. #2297C24semidirect
749. C2×#391C24semidirect
750. C2×#390C24semidirect
751. #2020C24semidirect
752. #2019C24semidirect
753. #2019C24semidirect
754. #2019C24semidirect
755. #2018C24semidirect
756. #2018C24semidirect
757. #2015C24semidirect
758. #2014C24semidirect
759. #2012C24semidirect
760. #2011C24semidirect
761. #2007C24semidirect
762. #2006C24semidirect
763. #1908C24semidirect
764. #1907C24semidirect
765. #1907C24semidirect
766. #1876C24semidirect
767. #1876C24semidirect
768. #1793C24semidirect
769. #1792C24semidirect
770. #1742C24semidirect
771. #1742C24semidirect
772. C2×#343C24semidirect
773. C2×#343C24semidirect
774. #1738C24semidirect
775. #1738C24semidirect
776. #1738C24semidirect
777. #1738C24semidirect
778. C2×#341C24semidirect
779. C2×#341C24semidirect
780. C2×#341C24semidirect
781. C2×#341C24semidirect
782. #1729C24semidirect
783. #1729C24semidirect
784. #1728C24semidirect
785. C2×#336C24semidirect
787. #585C22×D4semidirect
788. #585C22×D4semidirect
790. C2×2−1+4C22×D4semidirect
792. C2×2−1+4C25semidirect
794. C2×H(5,𝔽2)C22×D4semidirect
797. C2×H(5,𝔽2)C25semidirect
963. #575C22×D4semidirect
969. C2×#137C22×D4semidirect
970. C2×#137C22×D4semidirect
971. C2×#137C22×D4semidirect
972. C2×#137C22×D4semidirect
973. C2×#137C22×D4semidirect
977. C2×#137C25semidirect
985. C2×AGL(1,ℤ/8)C22×D4semidirect
986. C2×AGL(1,ℤ/8)C22×D4semidirect
987. C2×AGL(1,ℤ/8)C22×D4semidirect
988. C2×AGL(1,ℤ/8)C22×D4semidirect
989. C2×AGL(1,ℤ/8)C22×D4semidirect
990. C2×AGL(1,ℤ/8)C22×D4semidirect
991. C2×AGL(1,ℤ/8)C22×D4semidirect
997. C2×AGL(1,ℤ/8)C25semidirect
1000. C2×#135C22×D4semidirect
1001. C2×#135C22×D4semidirect
1006. C22×Q16C22×D4semidirect
1007. C22×Q16C22×D4semidirect
1008. C22×Q16C25semidirect
1013. C22×SD16C22×D4semidirect
1014. C22×SD16C22×D4semidirect
1015. C22×SD16C22×D4semidirect
1016. C22×SD16C22×D4semidirect
1018. C22×SD16C25semidirect
1019. C22×SD16C25semidirect
1022. C22×D8C22×D4semidirect
1023. C22×D8C22×D4semidirect
1025. C22×D8C25semidirect
1027. C2×#131C25semidirect
1099. C2×#104C25semidirect
1100. C2×#104C25semidirect
1102. #417C25semidirect
1103. C2×#103C25semidirect
1105. C2×#102C25semidirect
1106. C2×#101C25semidirect
1107. C2×#101C25semidirect
1109. C2×#100C25semidirect
1110. C2×#100C25semidirect
1112. #408C25semidirect
1113. #391C25semidirect
1114. #390C25semidirect
1115. #343C25semidirect
1116. #341C25semidirect
1117. #341C25semidirect
1118. #336C25semidirect
1788. C2#72237505direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#64317842
C2×#64376112
C2×#64376102
C2×#64376062
C2×#64376042
C2×#64317332
C2×#63707462
C22×#234392
C2×#63715362
C2×#63713972
C2×#64376022
C22×#210052
C2×#105748392
C2×#64317642
C22×#630902
C22×#603672
C23×#30192
C23×#30212
C23×#35852
#722375052