Finite Group Databasebeta

← #72339590

Subgroups — #72339590

Order 2048.

At least 11711 conjugacy classes of subgroups; only the 8924 normal subgroups are shown.

The subgroup lattice has 1728 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#72339589C212yesmaximal, complemented
2#72339588C211yesmaximal, characteristic, complemented
3#72339582C211yesmaximal, characteristic, complemented
4#72339578C211yesmaximal, characteristic, complemented
5#72339544C2116yesmaximal, complemented
6#72339504C214yesmaximal, complemented
7#72339486C214yesmaximal, complemented
8#99×AGL(1,ℤ/8)C2116yesmaximal, complemented
9#72310886C214yesmaximal, complemented
10#72310746C214yesmaximal, complemented
11#72257763C211yesmaximal, characteristic, complemented
12#72257754C212yesmaximal, complemented
13#72249558C212yesmaximal, complemented
14#72235984C212yesmaximal, complemented
15C2×#6385971C211yesmaximal, characteristic, complemented
16C22×D4×AGL(1,ℤ/8)C211yesmaximal, characteristic
17C2×#185643C211yesmaximal, characteristic, complemented
18C24×AGL(1,ℤ/8)C411yescharacteristic, complemented
19C24×AGL(1,ℤ/8)C2211yescharacteristic
20C22×D4×#41C2211yescharacteristic
21C23×D42C2211yescharacteristic
22C2×D4×AGL(1,ℤ/8)C418yescomplemented
23C2×D4×AGL(1,ℤ/8)C418yescomplemented
24C2×D4×AGL(1,ℤ/8)C2218yes—
25C2×D4×AGL(1,ℤ/8)C2218yes—
26C22×#3272C412yescomplemented
27C22×#3274C412yescomplemented
28C22×#3265C412yescomplemented
29C22×#3265C2212yes—
30C22×#3264C412yescomplemented
31C22×#3264C2212yes—
32C22×D4×SD16C2212yes—
33C22×D4×D8C2212yes—
34C22×#3151C411yescharacteristic, complemented
35C22×#3038C411yescharacteristic, complemented
36C22×#3036C411yescharacteristic, complemented
37C22×#3055C411yescharacteristic, complemented
38C22×#3055C2211yescharacteristic
39C22×#3006C411yescharacteristic, complemented
40C22×#3006C2211yescharacteristic
41C22×#3003C411yescharacteristic, complemented
42C22×#3003C2211yescharacteristic
43C22×D4×M16C2211yescharacteristic
44C22×C4×AGL(1,ℤ/8)C411yescharacteristic, complemented
45#7625442C2212yescomplemented
46C2×#34171C2212yescomplemented
47#6386368C2218yescomplemented
48#6386291C2212yescomplemented
49#6386222C2212yescomplemented
50#6386107C2212yescomplemented
51#6385971C2214yes—
52#6385971C2214yescomplemented
53#6385971C2218yescomplemented
54#6385971C2212yescomplemented
55#41×#99C2218yescomplemented
56#6379151C22116yescomplemented
57C22⋊C4×AGL(1,ℤ/8)C22116yescomplemented
58#6379135C2218yescomplemented
59#6379134C2218yescomplemented
60C2×D4×#99C2218yescomplemented
61#6374576C2212yescomplemented
62C2×#21793C2212yescomplemented
63C2×#20722C2211yescharacteristic
64C2×#20722C2211yescharacteristic
65C2×#20722C2211yescharacteristic
66#6370810C2212yescomplemented
67#6370715C2212yescomplemented
68C2×#20598C2212yescomplemented
69#6369812C2212yescomplemented
70#6343373C2212yescomplemented
71C2×#17577C2212yescomplemented
72C2×#17362C2211yescharacteristic
73SD16×#99C22132yescomplemented
74D8×#99C22132yescomplemented
75#220265C22164yescomplemented
76#220264C22164yescomplemented
77#220245C22132yescomplemented
78#220244C22132yescomplemented
79#205799C22116yescomplemented
80#205796C22116yescomplemented
81#205760C2218yescomplemented
82#205758C2218yescomplemented
83#198470C2218yescomplemented
84#198463C2218yescomplemented
85#198463C2218yescomplemented
86#198460C2218yescomplemented
87#198444C22116yescomplemented
88#198432C22116yescomplemented
89#198416C22116yescomplemented
90#198404C22116yescomplemented
91#188814C2218yescomplemented
92#188814C2218yescomplemented
93#188811C2214yescomplemented
94#188806C2214yescomplemented
95#185655C2218yescomplemented
96#185652C2212yescomplemented
97#185649C2212yescomplemented
98#185646C2212yescomplemented
99#185643C2214yes—
100#185643C2214yescomplemented
101#185643C2218yescomplemented
102#185643C2212yescomplemented
103#185623C2218yescomplemented
104C2×#8375C2218yescomplemented
105#183092C2218yescomplemented
106M16×#99C2218yescomplemented
107#182084C2214yescomplemented
108#182080C2214yescomplemented
109#181480C2212yescomplemented
110#181241C2212yescomplemented
111C24×#41C2×C411yescharacteristic, complemented
112C24×#41C2311yescharacteristic
113C25×D4C2×C411yescharacteristic, complemented
114C25×D4C2311yescharacteristic
115C23×AGL(1,ℤ/8)C2×C411yescharacteristic
116C23×AGL(1,ℤ/8)C2×C411yescharacteristic
117C23×AGL(1,ℤ/8)C2×C411yescharacteristic
118C23×AGL(1,ℤ/8)C2×C411yescharacteristic
119C23×AGL(1,ℤ/8)C2×C412yes—
120C23×AGL(1,ℤ/8)C2×C412yes—
121C23×AGL(1,ℤ/8)C2×C414yes—
122C23×AGL(1,ℤ/8)C2×C414yes—
123C23×AGL(1,ℤ/8)C2×C411yescharacteristic, complemented
124C23×AGL(1,ℤ/8)C2×C411yescharacteristic, complemented
125C23×AGL(1,ℤ/8)C2×C411yescharacteristic, complemented
126C23×AGL(1,ℤ/8)C2×C411yescharacteristic, complemented
127C23×AGL(1,ℤ/8)C2×C418yescomplemented
128C23×AGL(1,ℤ/8)C2×C411yescharacteristic, complemented
129C23×AGL(1,ℤ/8)C2×C412yescomplemented
130C23×AGL(1,ℤ/8)C2×C412yescomplemented
131C23×AGL(1,ℤ/8)C2×C418yescomplemented
132C23×AGL(1,ℤ/8)D412yes—
133C23×AGL(1,ℤ/8)D412yes—
134C23×AGL(1,ℤ/8)D412yes—
135C23×AGL(1,ℤ/8)D414yes—
136C23×AGL(1,ℤ/8)D414yes—
137C23×AGL(1,ℤ/8)D418yes—
138C23×AGL(1,ℤ/8)D418yes—
139C23×AGL(1,ℤ/8)D412yes—
140C23×AGL(1,ℤ/8)C2314yes—
141C23×AGL(1,ℤ/8)C2314yes—
142C24×SD16C2×C412yescomplemented
143C24×SD16C2312yes—
144C24×D8C2×C412yescomplemented
145C24×D8C2312yes—
146C24×M16C2×C411yescharacteristic, complemented
147C24×M16C2311yescharacteristic
148C2×D4×#41C2×C414yescomplemented
149C2×D4×#41C2×C414yescomplemented
150C2×D4×#41C2314yes—
151C2×D4×#41C2314yes—
152C22×#550C2×C411yescharacteristic, complemented
153C22×#547C2×C411yescharacteristic, complemented
154C22×#548C2×C411yescharacteristic, complemented
155C22×#548C2311yescharacteristic
156C22×#546C2×C411yescharacteristic, complemented
157C22×#546C2311yescharacteristic
158C22×D4×Q8C2311yescharacteristic
159C22×D42C2×C412yescomplemented
160C22×D42C2×C412yescomplemented
161C22×D42C2×C414yescomplemented
162C22×D42C2×C414yescomplemented
163C22×D42C2314yes—
164C22×D42C2312yes—
165C22×D42C2312yes—
166C22×D42C2314yes—
167C22×D42C2311yescharacteristic
168C22×#532C2×C411yescharacteristic, complemented
169C23×#127C2×C411yescharacteristic, complemented
170C22×#525C2×C411yescharacteristic, complemented
171C22×#525C2311yescharacteristic
172C23×#121C2×C411yescharacteristic, complemented
173C23×#121C2311yescharacteristic
174C22×C4×#41C2×C411yescharacteristic, complemented
175C23×C4×D4C2×C411yescharacteristic, complemented
176C23×C4×D4C2311yescharacteristic
177C2×D4×SD16C2×C4116yescomplemented
178C2×D4×SD16C23116yes—
179C2×D4×D8C2×C4116yescomplemented
180C2×D4×D8C23116yes—
181C2×#3274C2×C4116yescomplemented
182C2×#3274C2×C4116yescomplemented
183C2×#3272C2×C4116yescomplemented
184C2×#3272C2×C4116yescomplemented
185C2×#3265C2×C4116yescomplemented
186C2×#3265C2×C4116yescomplemented
187C2×#3265C2×C4116yescomplemented
188C2×#3265C23116yes—
189C2×#3264C2×C4116yescomplemented
190C2×#3264C2×C4116yescomplemented
191C2×#3264C2×C4116yescomplemented
192C2×#3264C23116yes—
193C2×#3151C2×C418yescomplemented
194C2×#3151C2×C418yescomplemented
195C22×#496C2×C412yescomplemented
196C22×#496C2×C412yescomplemented
197C22×#493C2×C412yescomplemented
198C22×#492C2×C412yescomplemented
199C2×#3055C2×C418yescomplemented
200C2×#3055C2×C414yescomplemented
201C2×#3055C2×C418yescomplemented
202C2×#3055C2×C414yescomplemented
203C2×#3055C2314yes—
204C2×#3055C2314yes—
205C22×#469C2×C412yescomplemented
206C22×#469C2×C412yescomplemented
207C22×#468C2×C412yescomplemented
208C22×#468C2×C412yescomplemented
209C22×#466C2×C412yescomplemented
210C22×#466C2312yes—
211C22×#465C2×C412yescomplemented
212C22×#465C2312yes—
213C2×#3038C2×C418yescomplemented
214C2×#3038C2×C418yescomplemented
215C2×#3036C2×C418yescomplemented
216C2×#3036C2×C418yescomplemented
217C22×#460C2×C412yescomplemented
218C22×#460C2×C412yescomplemented
219C22×#463C2×C412yescomplemented
220C22×#463C2×C412yescomplemented
221C22×#461C2×C412yescomplemented
222C22×#459C2×C412yescomplemented
223C22×#459C2×C412yescomplemented
224C22×#459C2×C412yescomplemented
225C2×#3006C2×C414yescomplemented
226C2×#3006C2×C418yescomplemented
227C2×#3006C2×C414yescomplemented
228C2×#3006C2×C418yescomplemented
229C2×#3006C2314yes—
230C2×#3006C2314yes—
231C2×#3003C2×C414yescomplemented
232C2×#3003C2×C414yescomplemented
233C2×#3003C2×C418yescomplemented
234C2×#3003C2×C418yescomplemented
235C2×#3003C2314yes—
236C2×#3003C2314yes—
237C22×#449C2×C412yescomplemented
238C22×#449C2×C412yescomplemented
239C22×#449C2×C412yescomplemented
240C22×#449C2×C412yescomplemented
241C22×#448C2×C412yescomplemented
242C22×#448C2312yes—
243C22×#450C2×C412yescomplemented
244C22×#450C2×C412yescomplemented
245C22×#450C2×C412yescomplemented
246C22×#450C2312yes—
247C22×#447C2×C412yescomplemented
248C22×#447C2×C412yescomplemented
249C22×#447C2×C412yescomplemented
250C22×#447C2×C412yescomplemented
251C22×#447C2312yes—
252C22×#447C2312yes—
253C2×C4×AGL(1,ℤ/8)C2×C418yescomplemented
254C2×C4×AGL(1,ℤ/8)C2×C418yescomplemented
255C22×#442C2×C412yescomplemented
256C22×#440C2×C412yescomplemented
257C22×C4×SD16C2×C412yescomplemented
258C22×C4×D8C2×C412yescomplemented
259C2×D4×M16C2×C414yescomplemented
260C2×D4×M16C2×C414yescomplemented
261C2×D4×M16C2314yes—
262C2×D4×M16C2314yes—
263C22×#436C2×C412yescomplemented
264C22×#435C2×C412yescomplemented
265C22×#435C2312yes—
266C22×C8×D4C2312yes—
267C22×#428C2×C411yescharacteristic, complemented
268C22×#423C2×C411yescharacteristic, complemented
269C22×#417C2×C411yescharacteristic, complemented
270C22×#417C2×C411yescharacteristic, complemented
271C22×#417C2×C411yescharacteristic, complemented
272C22×#418C2×C411yescharacteristic, complemented
273C22×#418C2×C411yescharacteristic, complemented
274C22×#418C2×C411yescharacteristic, complemented
275C22×#407C2×C411yescharacteristic, complemented
276C22×#407C2312yes—
277C22×#407C2311yescharacteristic
278C22×C4×M16C2×C411yescharacteristic, complemented
279#34175C2318yescomplemented
280#34173C2314yescomplemented
281#34171C2318yes—
282#34171C2318yescomplemented
283#34171C2314yescomplemented
284C22⋊C4×#41C2318yescomplemented
285C2×D4×C22⋊C4C2318yescomplemented
286C2×#2280C2312yes—
287C2×#2280C2312yes—
288C2×#2280C2312yes—
289#22534C23116yescomplemented
290Q8×#99C23116yescomplemented
291#22476C23116yescomplemented
292C22⋊C4×SD16C23132yescomplemented
293C22⋊C4×D8C23132yescomplemented
294#22437C23132yescomplemented
295#22436C23132yescomplemented
296D4×#99C23132yes—
297D4×#99C23132yescomplemented
298D4×#99C23116yescomplemented
299#21874C2318yescomplemented
300#21825C2314yescomplemented
301#21793C2318yes—
302#21793C2318yescomplemented
303#21793C2314yescomplemented
304#21420C2318yescomplemented
305C2×#1964C2318yescomplemented
306#20722D412yes—
307#20722D412yes—
308#20722D414yes—
309#20722C2312yes—
310#20722C2314yes—
311#20722C2312yes—
312#20722C2314yes—
313#20722C2312yes—
314#20722C2312yes—
315#20722C2314yes—
316#20722C2312yes—
317#20722C2312yes—
318C2×#1819D412yes—
319#20661C2318yescomplemented
320#20661C2318yescomplemented
321#20658C2318yescomplemented
322C2×#1799D414yes—
323C2×#1799C2314yes—
324C2×#1799C2314yes—
325#20601C2318yescomplemented
326#20599C2314yescomplemented
327#20598C2318yes—
328#20598C2318yescomplemented
329#20598C2314yescomplemented
330#20597C2318yescomplemented
331C2×#1786C2318yescomplemented
332C2×#1781D412yes—
333C2×C4×#99C2314yes—
334#20389C2318yescomplemented
335C22⋊C4×M16C2318yescomplemented
336#20385C2318yescomplemented
337#17592C2318yescomplemented
338#17578C2314yescomplemented
339#17577C2318yes—
340#17577C2318yescomplemented
341#17577C2314yescomplemented
342#17572C2318yescomplemented
343C2×#1519C2318yescomplemented
344#17362C2312yes—
345#17362C2314yes—
346#17362C2312yes—
347C2×#1459C2314yes—
348#9786C23132yescomplemented
349#9785C23132yescomplemented
350#9783C23132yescomplemented
351#9781C23132yescomplemented
352#9262C23164yescomplemented
353#9259C23164yescomplemented
354#9259C23164yescomplemented
355#9255C23164yescomplemented
356#8610C23132yescomplemented
357#8609C23116yescomplemented
358#8608C23116yescomplemented
359#8381C23116yescomplemented
360#8379C23116yescomplemented
361#8377C23116yescomplemented
362#8375C23132yes—
363#8375C23132yescomplemented
364#8375C23116yescomplemented
365#8161C23132yescomplemented
366#8160C23116yescomplemented
367C8×#99C23116yescomplemented
368#7983C2318yescomplemented
369#7983C2318yescomplemented
370#7982C2318yescomplemented
371#7929C2318yescomplemented
372#7927C2318yescomplemented
373#7925C2318yescomplemented
374C23×#41C22×C411yescharacteristic
375C23×#41C22×C411yescharacteristic
376C23×#41C22×C411yescharacteristic
377C23×#41C22×C414yes—
378C23×#41C22×C411yescharacteristic
379C23×#41C22×C411yescharacteristic
380C23×#41C22×C412yes—
381C23×#41C22×C412yes—
382C23×#41C22×C411yescharacteristic, complemented
383C23×#41C22×C411yescharacteristic, complemented
384C23×#41C22×C414yescomplemented
385C23×#41C2×D412yes—
386C23×#41C2×D412yes—
387C23×#41C2×D414yes—
388C23×#41C2×D414yes—
389C23×#41C2×D412yes—
390C23×#41C2×D412yes—
391C23×#41C2412yes—
392C23×#41C2412yes—
393C24×Q8C22×C411yescharacteristic, complemented
394C24×Q8C2411yescharacteristic
395C24×D4C22×C411yescharacteristic
396C24×D4C22×C411yescharacteristic
397C24×D4C22×C411yescharacteristic
398C24×D4C22×C412yes—
399C24×D4C22×C412yes—
400C24×D4C22×C414yes—
401C24×D4C22×C414yes—
402C24×D4C22×C412yes—
403C24×D4C22×C412yes—
404C24×D4C22×C412yes—
405C24×D4C22×C411yescharacteristic, complemented
406C24×D4C2×D411yescharacteristic
407C24×D4C2×D412yes—
408C24×D4C2×D412yes—
409C24×D4C2×D414yes—
410C24×D4C2×D414yes—
411C24×D4C2×D414yes—
412C24×D4C2412yes—
413C24×D4C2411yescharacteristic
414C24×D4C2412yes—
415C24×D4C2412yes—
416C25×C4C22×C411yescharacteristic
417C25×C4C2411yescharacteristic
418C22×AGL(1,ℤ/8)C22⋊C412yes—
419C22×AGL(1,ℤ/8)C22⋊C414yes—
420C22×AGL(1,ℤ/8)C22⋊C414yes—
421C22×AGL(1,ℤ/8)C22⋊C411yescharacteristic
422C22×AGL(1,ℤ/8)C22⋊C411yescharacteristic
423C22×AGL(1,ℤ/8)C22⋊C414yes—
424C22×AGL(1,ℤ/8)C22⋊C414yes—
425C22×AGL(1,ℤ/8)C22⋊C412yes—
426C22×AGL(1,ℤ/8)C22⋊C412yes—
427C22×AGL(1,ℤ/8)C22⋊C411yescharacteristic
428C22×AGL(1,ℤ/8)C22⋊C418yes—
429C22×AGL(1,ℤ/8)C22⋊C418yes—
430C22×AGL(1,ℤ/8)C22⋊C412yes—
431C22×AGL(1,ℤ/8)C22⋊C412yes—
432C22×AGL(1,ℤ/8)C22⋊C414yes—
433C22×AGL(1,ℤ/8)C22⋊C414yes—
434C22×AGL(1,ℤ/8)C22⋊C414yes—
435C22×AGL(1,ℤ/8)C22⋊C412yes—
436C22×AGL(1,ℤ/8)C22⋊C414yes—
437C22×AGL(1,ℤ/8)C22⋊C414yes—
438C22×AGL(1,ℤ/8)C22⋊C414yes—
439C22×AGL(1,ℤ/8)C22⋊C4116yes—
440C22×AGL(1,ℤ/8)C22⋊C414yes—
441C22×AGL(1,ℤ/8)C22⋊C414yes—
442C22×AGL(1,ℤ/8)C22⋊C414yes—
443C22×AGL(1,ℤ/8)C22⋊C4116yes—
444C22×AGL(1,ℤ/8)C22⋊C418yes—
445C22×AGL(1,ℤ/8)C22⋊C418yes—
446C22×AGL(1,ℤ/8)C22⋊C4116yes—
447C22×AGL(1,ℤ/8)C22⋊C4116yes—
448C22×AGL(1,ℤ/8)C22⋊C4116yes—
449C22×AGL(1,ℤ/8)C22⋊C4116yes—
450C22×AGL(1,ℤ/8)C22⋊C418yes—
451C22×AGL(1,ℤ/8)C22⋊C418yes—
452C22×AGL(1,ℤ/8)C22⋊C418yes—
453C22×AGL(1,ℤ/8)C22⋊C418yes—
454C22×AGL(1,ℤ/8)C22⋊C412yes—
455C22×AGL(1,ℤ/8)C22⋊C414yes—
456C22×AGL(1,ℤ/8)C22⋊C414yes—
457C22×AGL(1,ℤ/8)C22⋊C414yes—
458C22×AGL(1,ℤ/8)C22⋊C412yes—
459C22×AGL(1,ℤ/8)C22⋊C412yes—
460C22×AGL(1,ℤ/8)C22⋊C412yes—
461C22×AGL(1,ℤ/8)C22⋊C414yes—
462C22×AGL(1,ℤ/8)C22⋊C414yes—
463C22×AGL(1,ℤ/8)C22⋊C411yescharacteristic
464C22×AGL(1,ℤ/8)C22×C414yes—
465C22×AGL(1,ℤ/8)C22×C414yes—
466C22×AGL(1,ℤ/8)C22×C414yes—
467C22×AGL(1,ℤ/8)C22×C414yes—
468C22×AGL(1,ℤ/8)C22×C414yes—
469C22×AGL(1,ℤ/8)C22×C414yes—
470C22×AGL(1,ℤ/8)C22×C414yes—
471C22×AGL(1,ℤ/8)C22×C414yes—
472C22×AGL(1,ℤ/8)C22×C414yes—
473C22×AGL(1,ℤ/8)C22×C414yes—
474C22×AGL(1,ℤ/8)C22×C414yes—
475C22×AGL(1,ℤ/8)C22×C418yes—
476C22×AGL(1,ℤ/8)C22×C418yes—
477C22×AGL(1,ℤ/8)C22×C418yes—
478C22×AGL(1,ℤ/8)C22×C418yes—
479C22×AGL(1,ℤ/8)C22×C414yes—
480C22×AGL(1,ℤ/8)C22×C414yes—
481C22×AGL(1,ℤ/8)C22×C414yes—
482C22×AGL(1,ℤ/8)C22×C414yes—
483C22×AGL(1,ℤ/8)C22×C414yescomplemented
484C22×AGL(1,ℤ/8)C22×C4116yescomplemented
485C22×AGL(1,ℤ/8)C22×C4116yescomplemented
486C22×AGL(1,ℤ/8)C22×C414yescomplemented
487C22×AGL(1,ℤ/8)C22×C414yescomplemented
488C22×AGL(1,ℤ/8)C2×D418yes—
489C22×AGL(1,ℤ/8)C2×D418yes—
490C22×AGL(1,ℤ/8)C2×D4116yes—
491C22×AGL(1,ℤ/8)C2×D4116yes—
492C22×AGL(1,ℤ/8)C2×D4116yes—
493C22×AGL(1,ℤ/8)C2×D4116yes—
494C22×AGL(1,ℤ/8)C2×D418yes—
495C22×AGL(1,ℤ/8)C2×D418yes—
496C22×AGL(1,ℤ/8)C2×D418yes—
497C22×AGL(1,ℤ/8)C2×D418yes—
498C22×AGL(1,ℤ/8)C2×D418yes—
499C22×AGL(1,ℤ/8)C2×D418yes—
500C23×SD16C22×C412yes—
501C23×SD16C22×C412yes—
502C23×SD16C22×C412yes—
503C23×SD16C22×C412yes—
504C23×SD16C22×C418yes—
505C23×SD16C22×C412yes—
506C23×SD16C22×C412yes—
507C23×SD16C22×C412yescomplemented
508C23×SD16C22×C4116yescomplemented
509C23×SD16C22×C412yescomplemented
510C23×SD16C22×C412yescomplemented
511C23×SD16C2×D414yes—
512C23×SD16C2×D4116yes—
513C23×SD16C2×D414yes—
514C23×SD16C2×D414yes—
515C23×SD16C2×D414yes—
516C23×SD16C2418yes—
517C23×D8C22×C412yes—
518C23×D8C22×C412yes—
519C23×D8C22×C412yes—
520C23×D8C22×C412yes—
521C23×D8C22×C418yes—
522C23×D8C22×C412yes—
523C23×D8C22×C412yes—
524C23×D8C22×C412yescomplemented
525C23×D8C22×C4116yescomplemented
526C23×D8C22×C412yescomplemented
527C23×D8C22×C412yescomplemented
528C23×D8C2×D414yes—
529C23×D8C2×D4116yes—
530C23×D8C2×D414yes—
531C23×D8C2×D414yes—
532C23×D8C2×D414yes—
533C23×D8C2418yes—
534C23×M16C22×C411yescharacteristic
535C23×M16C22×C414yes—
536C23×M16C22×C411yescharacteristic
537C23×M16C22×C411yescharacteristic
538C23×M16C22×C412yes—
539C23×M16C22×C412yes—
540C23×M16C22×C412yes—
541C23×M16C22×C411yescharacteristic
542C23×M16C22×C412yescomplemented
543C23×M16C22×C414yescomplemented
544C23×M16C2×D412yes—
545C23×M16C2×D412yes—
546C23×M16C2×D414yes—
547C23×M16C2×D414yes—
548C23×M16C2×D414yes—
549C23×M16C2412yes—
550C23×M16C2412yes—
551C24×C8C22×C412yescomplemented
552C24×C8C2412yes—
553C2×#550C22×C414yes—
554C2×#550C22×C414yescomplemented
555C2×D4×Q8C22×C414yescomplemented
556C2×D4×Q8C2414yes—
557C2×#548C22×C414yes—
558C2×#548C22×C414yescomplemented
559C2×#548C22×C414yescomplemented
560C2×#548C2414yes—
561C2×#547C22×C414yes—
562C2×#547C22×C414yescomplemented
563C2×#546C22×C414yes—
564C2×#546C22×C414yescomplemented
565C2×#546C22×C414yescomplemented
566C2×#546C2414yes—
567C2×D42C22×C418yes—
568C2×D42C22×C418yes—
569C2×D42C22×C418yes—
570C2×D42C22×C418yes—
571C2×D42C22×C418yes—
572C2×D42C22×C418yes—
573C2×D42C22×C414yescomplemented
574C2×D42C2418yes—
575C2×D42C2414yes—
576C2×D42C2418yes—
577C2×#532C22×C414yes—
578C2×#532C22×C414yescomplemented
579C22×C4⋊Q8C22×C411yescharacteristic, complemented
580C22×#127C22×C412yes—
581C22×#127C22×C412yes—
582C22×#127C22×C414yes—
583C22×#127C22×C414yes—
584C22×#127C22×C411yescharacteristic, complemented
585C22×#124C22×C411yescharacteristic, complemented
586C22×#124C22×C411yescharacteristic, complemented
587C2×#525C22×C412yes—
588C2×#525C22×C412yes—
589C2×#525C22×C414yes—
590C2×#525C22×C414yescomplemented
591C2×#525C2412yes—
592C2×#525C2412yes—
593C22×C22⋊Q8C22×C411yescharacteristic
594C22×C22⋊Q8C22×C411yescharacteristic, complemented
595C22×C22⋊Q8C22×C411yescharacteristic, complemented
596C22×C22⋊Q8C2411yescharacteristic
597C22×#121C22×C412yes—
598C22×#121C22×C411yescharacteristic
599C22×#121C22×C412yes—
600C22×#121C22×C412yes—
601C22×#121C22×C412yes—
602C22×#121C22×C412yes—
603C22×#121C22×C414yes—
604C22×#121C22×C414yes—
605C22×#121C22×C411yescharacteristic, complemented
606C22×#121C22×C411yescharacteristic, complemented
607C22×#121C2412yes—
608C22×#121C2411yescharacteristic
609C22×#121C2412yes—
610C22×#121C2412yes—
611C2×C4×#41C22×C414yes—
612C2×C4×#41C22×C414yescomplemented
613C22×C4×Q8C22×C411yescharacteristic, complemented
614C22×C4×Q8C22×C411yescharacteristic, complemented
615C22×C4×D4C22×C412yes—
616C22×C4×D4C22×C412yes—
617C22×C4×D4C22×C414yes—
618C22×C4×D4C22×C414yes—
619C22×C4×D4C22×C411yescharacteristic
620C22×C4×D4C22×C411yescharacteristic
621C22×C4×D4C22×C412yes—
622C22×C4×D4C22×C412yes—
623C22×C4×D4C22×C411yescharacteristic, complemented
624C22×C4×D4C22×C411yescharacteristic, complemented
625C22×C4×D4C2×D412yes—
626C22×C4×D4C2×D412yes—
627C22×C4×D4C2×D411yescharacteristic
628C22×C4×D4C2×D411yescharacteristic
629C22×C4×D4#4111yescharacteristic
630C22×C4×D4#4111yescharacteristic
631C22×C4×D4#4112yes—
632C22×C4×D4#4112yes—
633C22×C4×D4C2412yes—
634C22×C4×D4C2412yes—
635C22×C4×D4C2411yescharacteristic
636C22×C4×D4C2411yescharacteristic
637C22×#117C22×C411yescharacteristic
638C23×C4⋊C4C22×C411yescharacteristic
639C23×C4⋊C4#4111yescharacteristic
640C23×C22⋊C4C2×D411yescharacteristic
641C23×C22⋊C4#4111yescharacteristic
642C23×C42C22×C411yescharacteristic
643C2×#496C22×C4116yescomplemented
644C2×#496C22×C4116yescomplemented
645C2×#493C22×C4116yescomplemented
646C2×#492C22×C4116yescomplemented
647C2×#469C22×C418yes—
648C2×#469C22×C4116yescomplemented
649C2×#469C22×C418yescomplemented
650C2×#468C22×C418yes—
651C2×#468C22×C4116yescomplemented
652C2×#468C22×C418yescomplemented
653C2×#466C22×C4116yescomplemented
654C2×#466C22×C418yescomplemented
655C2×#466C2418yes—
656C2×#465C22×C4116yescomplemented
657C2×#465C22×C418yescomplemented
658C2×#465C2418yes—
659C2×#460C22×C4116yescomplemented
660C2×#460C22×C4116yescomplemented
661C2×#463C22×C4116yescomplemented
662C2×#463C22×C4116yescomplemented
663C2×#461C22×C4116yescomplemented
664C2×#459C22×C4116yescomplemented
665C2×#459C22×C4116yescomplemented
666C2×#459C22×C4116yescomplemented
667C2×#449C22×C418yes—
668C2×#449C22×C418yes—
669C2×#449C22×C418yescomplemented
670C2×#449C22×C4116yescomplemented
671C2×#449C22×C418yescomplemented
672C2×#449C22×C4116yescomplemented
673C2×#448C22×C418yescomplemented
674C2×#448C22×C4116yescomplemented
675C2×#448C2418yes—
676C2×#450C22×C418yes—
677C2×#450C22×C418yes—
678C2×#450C22×C418yes—
679C2×#450C22×C4116yescomplemented
680C2×#450C22×C4116yescomplemented
681C2×#450C2418yes—
682C2×#447C22×C418yes—
683C2×#447C22×C418yes—
684C2×#447C22×C418yes—
685C2×#447C22×C418yescomplemented
686C2×#447C22×C4116yescomplemented
687C2×#447C22×C4116yescomplemented
688C2×#447C22×C4116yescomplemented
689C2×#447C2418yes—
690C2×#447C2418yes—
691C2×#442C22×C4116yescomplemented
692C2×#440C22×C4116yescomplemented
693C2×C4×SD16C22×C4116yescomplemented
694C2×C4×D8C22×C4116yescomplemented
695C2×#436C22×C418yes—
696C2×#436C22×C418yescomplemented
697C2×#435C22×C418yes—
698C2×#435C22×C418yescomplemented
699C2×#435C22×C418yescomplemented
700C2×#435C2418yes—
701C2×C8×D4C22×C418yescomplemented
702C2×C8×D4C2418yes—
703C2×#428C22×C414yes—
704C2×#428C22×C414yescomplemented
705C22×#107C22×C412yescomplemented
706C22×#106C22×C412yescomplemented
707C2×#423C22×C414yes—
708C2×#423C22×C414yescomplemented
709C22×C4⋊C8C22×C412yescomplemented
710C22×C4⋊C8C22×C412yescomplemented
711C2×#417C22×C414yes—
712C2×#417C22×C414yes—
713C2×#417C22×C414yes—
714C2×#417C22×C414yescomplemented
715C2×#417C22×C414yescomplemented
716C2×#417C22×C414yescomplemented
717C2×#418C22×C414yes—
718C2×#418C22×C414yes—
719C2×#418C22×C414yes—
720C2×#418C22×C414yes—
721C2×#418C22×C414yes—
722C2×#418C22×C414yescomplemented
723C22×#103C22×C412yescomplemented
724C22×#103C22×C412yescomplemented
725C22×#103C22×C412yescomplemented
726C22×#102C22×C412yes—
727C22×#102C22×C412yes—
728C22×#102C22×C412yes—
729C22×#102C22×C412yes—
730C22×#102C22×C412yescomplemented
731C22×#102C22×C412yescomplemented
732C22×#102C22×C412yescomplemented
733C22×#102C22×C412yescomplemented
734C22×#102C22×C412yescomplemented
735C22×#99C2×D418yes—
736C2×#407C22×C414yes—
737C2×#407C22×C412yes—
738C2×#407C22×C412yes—
739C2×#407C22×C414yescomplemented
740C2×#407C2414yes—
741C2×#407C2414yes—
742C2×#407C2412yes—
743C2×#407C2412yes—
744C22×C22⋊C8C22×C412yes—
745C22×C22⋊C8C22×C412yescomplemented
746C22×C22⋊C8C22×C412yescomplemented
747C22×C22⋊C8C2414yes—
748C22×C22⋊C8C2412yes—
749C2×C4×M16C22×C414yes—
750C2×C4×M16C22×C414yescomplemented
751C22×#97C22×C412yescomplemented
752C22×C4×C8C22×C412yescomplemented
753Q8×C22⋊C4C24116yescomplemented
754D4×C22⋊C4C24132yes—
755D4×C22⋊C4C24116yescomplemented
756#2280C2×D414yes—
757#2280C2×D414yes—
758#2280C2414yes—
759#2280C2414yes—
760#2280C2414yes—
761#2280C2414yes—
762#2280C2414yes—
763#2280C2414yes—
764C2×#380C2×D414yes—
765C2×#380C2414yes—
766C2×#380C2414yes—
767C2×#379C2×D414yes—
768C2×C4×C22⋊C4C2414yes—
769#1996C24116yescomplemented
770#1964C24132yes—
771#1964C24116yescomplemented
772#1819C2×D414yes—
773#1819C2×D418yes—
774#1819C2×D414yes—
775#1808C24116yescomplemented
776#1807C24116yescomplemented
777#1799C2×D418yes—
778#1799C2×D418yes—
779#1799C2×D418yes—
780#1799C2×D418yes—
781#1799C2418yes—
782#1799C2418yes—
783#1799C2418yes—
784#1799C2418yes—
785#1787C24116yescomplemented
786#1786C24132yes—
787#1786C24116yescomplemented
788#1781C2×D414yes—
789#1781C2×D414yes—
790#1781C2×D418yes—
791C4×#99C2×D418yes—
792C4×#99C2×D418yes—
793C4×#99C2418yes—
794C4×#99C2418yes—
795#1752C24116yescomplemented
796C8×C22⋊C4C24116yescomplemented
797C2×#342C2×D418yes—
798#1520C24116yescomplemented
799#1519C24132yes—
800#1519C24116yescomplemented
801#1459C2418yes—
802#1459C2418yes—
803#1289C24132yescomplemented
804#1282C24132yescomplemented
805C26C4×D411yescharacteristic
806C26C22×D411yescharacteristic
807C22×#41C2×C22⋊C411yescharacteristic
808C22×#41C2×C22⋊C412yes—
809C22×#41C2×C22⋊C411yescharacteristic
810C22×#41C2×C22⋊C412yes—
811C22×#41C2×C22⋊C412yes—
812C22×#41C2×C22⋊C411yescharacteristic
813C22×#41C2×C22⋊C412yes—
814C22×#41C2×C22⋊C412yes—
815C22×#41C2×C22⋊C414yes—
816C22×#41C2×C22⋊C414yes—
817C22×#41C2×C22⋊C411yescharacteristic
818C22×#41C2×C22⋊C412yes—
819C22×#41C2×C22⋊C412yes—
820C22×#41C2×C22⋊C412yes—
821C22×#41C2×C22⋊C412yes—
822C22×#41C2×C22⋊C412yes—
823C22×#41C2×C22⋊C414yes—
824C22×#41C2×C22⋊C414yes—
825C22×#41C2×C22⋊C414yes—
826C22×#41C2×C22⋊C414yes—
827C22×#41C2×C22⋊C414yes—
828C22×#41C2×C22⋊C414yes—
829C22×#41C2×C22⋊C414yes—
830C22×#41C2×C22⋊C414yes—
831C22×#41C23×C412yes—
832C22×#41C23×C412yes—
833C22×#41C23×C412yes—
834C22×#41C23×C412yes—
835C22×#41C23×C412yes—
836C22×#41C23×C412yes—
837C22×#41C23×C414yes—
838C22×#41C23×C414yes—
839C22×#41C23×C412yes—
840C22×#41C23×C412yes—
841C22×#41C23×C412yes—
842C22×#41C23×C412yes—
843C22×#41C22×D414yes—
844C22×#41C22×D414yes—
845C22×#41C22×D414yes—
846C22×#41C22×D414yes—
847C22×#41C22×D414yes—
848C22×#41C22×D414yes—
849C22×#41C22×D414yes—
850C22×#41C22×D414yes—
851C23×Q8C23×C411yescharacteristic
852C23×Q8C23×C411yescharacteristic
853C23×Q8C23×C411yescharacteristic
854C23×Q8C23×C414yes—
855C23×Q8C23×C412yes—
856C23×Q8C22×D412yes—
857C23×Q8C22×D412yes—
858C23×Q8C22×D414yes—
859C23×Q8C2512yes—
860C23×D4C2×C22⋊C411yescharacteristic
861C23×D4C2×C22⋊C412yes—
862C23×D4C2×C22⋊C412yes—
863C23×D4C2×C22⋊C412yes—
864C23×D4C2×C22⋊C412yes—
865C23×D4C2×C22⋊C414yes—
866C23×D4C2×C22⋊C414yes—
867C23×D4C2×C22⋊C414yes—
868C23×D4C2×C22⋊C411yescharacteristic
869C23×D4C2×C22⋊C412yes—
870C23×D4C2×C22⋊C412yes—
871C23×D4C2×C22⋊C412yes—
872C23×D4C2×C22⋊C414yes—
873C23×D4C2×C22⋊C414yes—
874C23×D4C2×C22⋊C414yes—
875C23×D4C2×C22⋊C418yes—
876C23×D4C2×C22⋊C418yes—
877C23×D4C2×C22⋊C418yes—
878C23×D4C4×D411yescharacteristic
879C23×D4C4×D411yescharacteristic
880C23×D4C4×D412yes—
881C23×D4C4×D412yes—
882C23×D4C23×C412yes—
883C23×D4C23×C412yes—
884C23×D4C23×C412yes—
885C23×D4C23×C411yescharacteristic
886C23×D4C23×C412yes—
887C23×D4C23×C412yes—
888C23×D4C23×C412yes—
889C23×D4C23×C411yescharacteristic
890C23×D4C23×C412yes—
891C23×D4C23×C412yes—
892C23×D4C23×C412yes—
893C23×D4C23×C411yescharacteristic
894C23×D4C23×C418yes—
895C23×D4C23×C418yes—
896C23×D4C23×C414yes—
897C23×D4C23×C414yes—
898C23×D4C23×C414yes—
899C23×D4C23×C414yes—
900C23×D4C23×C412yes—
901C23×D4C22×D411yescharacteristic
902C23×D4C22×D412yes—
903C23×D4C22×D412yes—
904C23×D4C22×D411yescharacteristic
905C23×D4C22×D414yes—
906C23×D4C22×D414yes—
907C23×D4C22×D414yes—
908C23×D4C22×D412yes—
909C23×D4C22×D414yes—
910C23×D4C22×D414yes—
911C23×D4C22×D414yes—
912C23×D4C22×D412yes—
913C23×D4C22×D418yes—
914C23×D4C22×D418yes—
915C23×D4C22×D418yes—
916C23×D4C22×D414yes—
917C23×D4C2514yes—
918C23×D4C2512yes—
919C24×C4C4×D411yescharacteristic
920C24×C4C4×D411yescharacteristic
921C24×C4C4×D411yescharacteristic
922C24×C4C4×D411yescharacteristic
923C24×C4C4×D412yes—
924C24×C4C4×D412yes—
925C24×C4C4×D411yescharacteristic
926C24×C4C23×C411yescharacteristic
927C24×C4C23×C411yescharacteristic
928C24×C4C23×C412yes—
929C24×C4C23×C411yescharacteristic
930C24×C4C23×C412yes—
931C24×C4C23×C411yescharacteristic
932C24×C4C23×C411yescharacteristic
933C24×C4C23×C411yescharacteristic
934C24×C4C22×D412yes—
935C24×C4C22×D412yes—
936C24×C4C22×D412yes—
937C24×C4C22×D412yes—
938C24×C4C22×D411yescharacteristic
939C24×C4C22×D411yescharacteristic
940C24×C4C22×D411yescharacteristic
941C24×C4C2×#4111yescharacteristic
942C24×C4C2×#4111yescharacteristic
943C24×C4C2×#4111yescharacteristic
944C24×C4C2×#4111yescharacteristic
945C24×C4H(5,𝔽2)12yes—
946C24×C4H(5,𝔽2)12yes—
947C24×C4H(5,𝔽2)12yes—
948C24×C4H(5,𝔽2)12yes—
949C24×C4C2511yescharacteristic
950C24×C4C2511yescharacteristic
951C24×C4C2511yescharacteristic
952C2×AGL(1,ℤ/8)#99116yescomplemented
953C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
954C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
955C2×AGL(1,ℤ/8)C2×C22⋊C414yes—
956C2×AGL(1,ℤ/8)C2×C22⋊C414yes—
957C2×AGL(1,ℤ/8)C2×C22⋊C414yes—
958C2×AGL(1,ℤ/8)C2×C22⋊C414yes—
959C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
960C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
961C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
962C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
963C2×AGL(1,ℤ/8)C2×C22⋊C414yes—
964C2×AGL(1,ℤ/8)C2×C22⋊C414yes—
965C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
966C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
967C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
968C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
969C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
970C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
971C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
972C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
973C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
974C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
975C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
976C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
977C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
978C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
979C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
980C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
981C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
982C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
983C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
984C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
985C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
986C2×AGL(1,ℤ/8)C2×C22⋊C418yes—
987C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
988C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
989C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
990C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
991C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
992C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
993C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
994C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
995C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
996C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
997C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
998C2×AGL(1,ℤ/8)C2×C22⋊C4116yes—
999C2×AGL(1,ℤ/8)C2×C22⋊C414yes—
1000C2×AGL(1,ℤ/8)C2×C22⋊C414yes—
1001C22×SD16C2×C22⋊C414yes—
1002C22×SD16C2×C22⋊C412yes—
1003C22×SD16C2×C22⋊C412yes—
1004C22×SD16C2×C22⋊C418yes—
1005C22×SD16C2×C22⋊C412yes—
1006C22×SD16C2×C22⋊C414yes—
1007C22×SD16C2×C22⋊C414yes—
1008C22×SD16C2×C22⋊C4116yes—
1009C22×SD16C2×C22⋊C418yes—
1010C22×SD16C2×C22⋊C414yes—
1011C22×SD16C2×C22⋊C414yes—
1012C22×SD16C2×C22⋊C418yes—
1013C22×SD16C2×C22⋊C414yes—
1014C22×SD16C2×C22⋊C418yes—
1015C22×SD16C2×C22⋊C4116yes—
1016C22×SD16C2×C22⋊C4116yes—
1017C22×SD16C2×C22⋊C4116yes—
1018C22×SD16C2×C22⋊C412yes—
1019C22×SD16C23×C418yes—
1020C22×SD16C23×C418yes—
1021C22×SD16C23×C418yes—
1022C22×SD16C23×C418yes—
1023C22×SD16C23×C418yes—
1024C22×SD16C23×C418yes—
1025C22×SD16C23×C418yes—
1026C22×SD16C23×C418yes—
1027C22×SD16C23×C418yes—
1028C22×SD16C22×D4116yes—
1029C22×SD16C22×D4116yes—
1030C22×SD16C22×D4116yes—
1031C22×SD16C22×D4116yes—
1032C22×D8C2×C22⋊C414yes—
1033C22×D8C2×C22⋊C412yes—
1034C22×D8C2×C22⋊C412yes—
1035C22×D8C2×C22⋊C418yes—
1036C22×D8C2×C22⋊C412yes—
1037C22×D8C2×C22⋊C414yes—
1038C22×D8C2×C22⋊C414yes—
1039C22×D8C2×C22⋊C4116yes—
1040C22×D8C2×C22⋊C418yes—
1041C22×D8C2×C22⋊C414yes—
1042C22×D8C2×C22⋊C414yes—
1043C22×D8C2×C22⋊C418yes—
1044C22×D8C2×C22⋊C414yes—
1045C22×D8C2×C22⋊C418yes—
1046C22×D8C2×C22⋊C4116yes—
1047C22×D8C2×C22⋊C4116yes—
1048C22×D8C2×C22⋊C4116yes—
1049C22×D8C2×C22⋊C412yes—
1050C22×D8C23×C418yes—
1051C22×D8C23×C418yes—
1052C22×D8C23×C418yes—
1053C22×D8C23×C418yes—
1054C22×D8C23×C418yes—
1055C22×D8C23×C418yes—
1056C22×D8C23×C418yes—
1057C22×D8C23×C418yes—
1058C22×D8C23×C418yes—
1059C22×D8C22×D4116yes—
1060C22×D8C22×D4116yes—
1061C22×D8C22×D4116yes—
1062C22×D8C22×D4116yes—
1063C22×M16C2×C22⋊C411yescharacteristic
1064C22×M16C2×C22⋊C412yes—
1065C22×M16C2×C22⋊C412yes—
1066C22×M16C2×C22⋊C412yes—
1067C22×M16C2×C22⋊C412yes—
1068C22×M16C2×C22⋊C414yes—
1069C22×M16C2×C22⋊C414yes—
1070C22×M16C2×C22⋊C414yes—
1071C22×M16C2×C22⋊C412yes—
1072C22×M16C2×C22⋊C412yes—
1073C22×M16C2×C22⋊C412yes—
1074C22×M16C2×C22⋊C414yes—
1075C22×M16C2×C22⋊C418yes—
1076C22×M16C2×C22⋊C418yes—
1077C22×M16C2×C22⋊C418yes—
1078C22×M16C2×C22⋊C414yes—
1079C22×M16C2×C22⋊C414yes—
1080C22×M16C2×C22⋊C411yescharacteristic
1081C22×M16C23×C412yes—
1082C22×M16C23×C412yes—
1083C22×M16C23×C412yes—
1084C22×M16C23×C412yes—
1085C22×M16C23×C412yes—
1086C22×M16C23×C412yes—
1087C22×M16C23×C418yes—
1088C22×M16C23×C412yes—
1089C22×M16C23×C412yes—
1090C22×M16C23×C414yes—
1091C22×M16C23×C414yes—
1092C22×M16C22×D414yes—
1093C22×M16C22×D414yes—
1094C22×M16C22×D418yes—
1095C22×M16C22×D418yes—
1096C22×M16C22×D414yes—
1097C22×M16C22×D414yes—
1098C23×C8C23×C412yes—
1099C23×C8C23×C412yes—
1100C23×C8C23×C412yes—
1101C23×C8C23×C418yes—
1102C23×C8C23×C412yes—
1103C23×C8C23×C414yes—
1104C23×C8C22×D414yes—
1105C23×C8C22×D418yes—
1106C23×C8C22×D414yes—
1107C23×C8C2514yes—
1108C2×C4⋊Q8C23×C414yes—
1109C2×#127C23×C418yes—
1110C2×#127C23×C414yes—
1111C2×#127C23×C418yes—
1112C2×#124C23×C414yes—
1113C2×#124C23×C414yes—
1114C2×C22⋊Q8C23×C412yes—
1115C2×C22⋊Q8C23×C412yes—
1116C2×C22⋊Q8C23×C412yes—
1117C2×C22⋊Q8C23×C414yes—
1118C2×C22⋊Q8C23×C414yes—
1119C2×C22⋊Q8C2512yes—
1120C2×#121C23×C414yes—
1121C2×#121C23×C414yes—
1122C2×#121C23×C414yes—
1123C2×#121C23×C412yes—
1124C2×#121C23×C412yes—
1125C2×#121C23×C412yes—
1126C2×#121C23×C418yes—
1127C2×#121C23×C418yes—
1128C2×#121C23×C414yes—
1129C2×#121C23×C414yes—
1130C2×#121C2514yes—
1131C2×#121C2512yes—
1132C2×C4×Q8C23×C414yes—
1133C2×C4×Q8C23×C414yes—
1134C2×C4×D4C4×D412yes—
1135C2×C4×D4C4×D412yes—
1136C2×C4×D4C4×D412yes—
1137C2×C4×D4C4×D412yes—
1138C2×C4×D4C4×D412yes—
1139C2×C4×D4C4×D412yes—
1140C2×C4×D4C4×D412yes—
1141C2×C4×D4C4×D412yes—
1142C2×C4×D4C4×D412yes—
1143C2×C4×D4C4×D412yes—
1144C2×C4×D4C4×D412yes—
1145C2×C4×D4C4×D412yes—
1146C2×C4×D4C23×C418yes—
1147C2×C4×D4C23×C418yes—
1148C2×C4×D4C23×C414yes—
1149C2×C4×D4C23×C414yes—
1150C2×C4×D4C23×C412yes—
1151C2×C4×D4C23×C412yes—
1152C2×C4×D4C23×C412yes—
1153C2×C4×D4C23×C412yes—
1154C2×C4×D4C23×C412yes—
1155C2×C4×D4C23×C412yes—
1156C2×C4×D4C22×D412yes—
1157C2×C4×D4C22×D412yes—
1158C2×C4×D4C22×D412yes—
1159C2×C4×D4C22×D412yes—
1160C2×C4×D4C22×D412yes—
1161C2×C4×D4C22×D412yes—
1162C2×C4×D4C2×#4112yes—
1163C2×C4×D4C2×#4112yes—
1164C2×C4×D4C2×#4112yes—
1165C2×C4×D4C2×#4112yes—
1166C2×C4×D4C2×#4112yes—
1167C2×C4×D4C2×#4112yes—
1168C2×C4×D4C2512yes—
1169C2×C4×D4C2512yes—
1170C2×#117C23×C412yes—
1171C2×#117C23×C412yes—
1172C22×C4⋊C4C4×D411yescharacteristic
1173C22×C4⋊C4C4×D411yescharacteristic
1174C22×C4⋊C4C4×D412yes—
1175C22×C4⋊C4C4×D412yes—
1176C22×C4⋊C4C23×C411yescharacteristic
1177C22×C4⋊C4C23×C411yescharacteristic
1178C22×C4⋊C4C23×C412yes—
1179C22×C4⋊C4C23×C412yes—
1180C22×C4⋊C4C23×C412yes—
1181C22×C4⋊C4C2×#4111yescharacteristic
1182C22×C4⋊C4C2×#4111yescharacteristic
1183C22×C4⋊C4C2×#4112yes—
1184C22×C4⋊C4C2×#4112yes—
1185C22×C22⋊C4C4×D411yescharacteristic
1186C22×C22⋊C4C4×D411yescharacteristic
1187C22×C22⋊C4C4×D411yescharacteristic
1188C22×C22⋊C4C4×D412yes—
1189C22×C22⋊C4C4×D412yes—
1190C22×C22⋊C4C4×D411yescharacteristic
1191C22×C22⋊C4C4×D412yes—
1192C22×C22⋊C4C4×D412yes—
1193C22×C22⋊C4C22×D411yescharacteristic
1194C22×C22⋊C4C22×D411yescharacteristic
1195C22×C22⋊C4C22×D412yes—
1196C22×C22⋊C4C22×D412yes—
1197C22×C22⋊C4C22×D418yes—
1198C22×C22⋊C4C2×#4111yescharacteristic
1199C22×C22⋊C4C2×#4111yescharacteristic
1200C22×C22⋊C4C2×#4112yes—
1201C22×C22⋊C4C2×#4112yes—
1202C22×C42C4×D411yescharacteristic
1203C22×C42C4×D411yescharacteristic
1204C22×C42C4×D412yes—
1205C22×C42C4×D412yes—
1206C22×C42C23×C411yescharacteristic
1207C22×C42C23×C411yescharacteristic
1208C22×C42C23×C412yes—
1209C22×C42C23×C412yes—
1210C2×#107C23×C418yes—
1211C2×#106C23×C418yes—
1212C2×C4⋊C8C23×C418yes—
1213C2×C4⋊C8C23×C418yes—
1214C2×#103C23×C418yes—
1215C2×#103C23×C418yes—
1216C2×#103C23×C418yes—
1217C2×#102C23×C418yes—
1218C2×#102C23×C418yes—
1219C2×#102C23×C418yes—
1220C2×#102C23×C418yes—
1221C2×#102C23×C418yes—
1222C2×#102C23×C418yes—
1223C2×#102C23×C418yes—
1224C2×#102C23×C418yes—
1225C2×#102C23×C418yes—
1226C2×#99C22×D4116yes—
1227C2×#99C22×D4116yes—
1228C2×C22⋊C8C23×C414yes—
1229C2×C22⋊C8C23×C414yes—
1230C2×C22⋊C8C23×C418yes—
1231C2×C22⋊C8C23×C418yes—
1232C2×C22⋊C8C23×C414yes—
1233C2×C22⋊C8C2518yes—
1234C2×C22⋊C8C2514yes—
1235C2×#97C23×C418yes—
1236C2×C4×C8C23×C418yes—
1237#380C22×D418yes—
1238#380C22×D418yes—
1239#380C2518yes—
1240#380C2518yes—
1241#379C22×D418yes—
1242#379C22×D418yes—
1243C4×C22⋊C4C22×D418yes—
1244C4×C22⋊C4C2518yes—
1245#342C22×D4116yes—
1246#342C22×D4116yes—
1247C25C2×C4×D411yescharacteristic
1248C25C2×C4×D411yescharacteristic
1249C25C2×C4×D412yes—
1250C25C2×C4×D412yes—
1251C25C2×C4×D411yescharacteristic
1252C25C2×C4×D411yescharacteristic
1253C25C2×C4×D411yescharacteristic
1254C25C2×C4×D411yescharacteristic
1255C25D4212yes—
1256C25D4212yes—
1257C25D4212yes—
1258C25D4212yes—
1259C25C23×D411yescharacteristic
1260C25C23×D411yescharacteristic
1261C25C23×D411yescharacteristic
1262C2×#41C2×#9918yescomplemented
1263C2×#41C22×C22⋊C412yes—
1264C2×#41C22×C22⋊C412yes—
1265C2×#41C22×C22⋊C414yes—
1266C2×#41C22×C22⋊C414yes—
1267C2×#41C22×C22⋊C412yes—
1268C2×#41C22×C22⋊C412yes—
1269C2×#41C22×C22⋊C412yes—
1270C2×#41C22×C22⋊C412yes—
1271C2×#41C22×C22⋊C414yes—
1272C2×#41C22×C22⋊C414yes—
1273C2×#41C22×C22⋊C414yes—
1274C2×#41C22×C22⋊C414yes—
1275C2×#41C22×C22⋊C412yes—
1276C2×#41C22×C22⋊C412yes—
1277C2×#41C22×C22⋊C414yes—
1278C2×#41C22×C22⋊C414yes—
1279C2×#41C22×C22⋊C414yes—
1280C2×#41C22×C22⋊C414yes—
1281C2×#41C22×C22⋊C414yes—
1282C2×#41C22×C22⋊C414yes—
1283C22×Q8C22×C22⋊C411yescharacteristic
1284C22×Q8C22×C22⋊C412yes—
1285C22×Q8C22×C22⋊C412yes—
1286C22×Q8C22×C22⋊C414yes—
1287C22×Q8C22×C22⋊C411yescharacteristic
1288C22×Q8C22×C22⋊C412yes—
1289C22×Q8C22×C22⋊C414yes—
1290C22×Q8C24×C412yes—
1291C22×Q8C24×C412yes—
1292C22×Q8C24×C412yes—
1293C22×Q8C23×D414yes—
1294C22×Q8C23×D414yes—
1295C22×D4C2×#9918yescomplemented
1296C22×D4C22×C22⋊C411yescharacteristic
1297C22×D4C22×C22⋊C412yes—
1298C22×D4C22×C22⋊C412yes—
1299C22×D4C22×C22⋊C412yes—
1300C22×D4C22×C22⋊C412yes—
1301C22×D4C22×C22⋊C414yes—
1302C22×D4C22×C22⋊C414yes—
1303C22×D4C22×C22⋊C414yes—
1304C22×D4C22×C22⋊C412yes—
1305C22×D4C22×C22⋊C414yes—
1306C22×D4C22×C22⋊C414yes—
1307C22×D4C22×C22⋊C414yes—
1308C22×D4C22×C22⋊C418yes—
1309C22×D4C22×C22⋊C418yes—
1310C22×D4C22×C22⋊C418yes—
1311C22×D4C22×C22⋊C414yes—
1312C22×D4C22×C22⋊C412yes—
1313C22×D4C22×C22⋊C412yes—
1314C22×D4C22×C22⋊C412yes—
1315C22×D4C22×C22⋊C411yescharacteristic
1316C22×D4C22×C22⋊C412yes—
1317C22×D4C22×C22⋊C414yes—
1318C22×D4C22×C22⋊C414yes—
1319C22×D4C22×C22⋊C414yes—
1320C22×D4C22×C22⋊C418yes—
1321C22×D4C22×C22⋊C418yes—
1322C22×D4C22×C22⋊C418yes—
1323C22×D4C22×C22⋊C414yes—
1324C22×D4C2×C4×D412yes—
1325C22×D4C2×C4×D412yes—
1326C22×D4C2×C4×D412yes—
1327C22×D4C2×C4×D412yes—
1328C22×D4C2×C4×D412yes—
1329C22×D4C2×C4×D412yes—
1330C22×D4C24×C412yes—
1331C22×D4C24×C414yes—
1332C22×D4C24×C412yes—
1333C22×D4C24×C414yes—
1334C22×D4C24×C412yes—
1335C22×D4C24×C414yes—
1336C22×D4C23×D418yes—
1337C22×D4C23×D414yes—
1338C22×D4C23×D418yes—
1339C22×D4C23×D414yes—
1340C22×D4C23×D412yes—
1341C22×D4C23×D412yes—
1342C23×C4C22×C22⋊C411yescharacteristic
1343C23×C4C22×C22⋊C411yescharacteristic
1344C23×C4C22×C22⋊C411yescharacteristic
1345C23×C4C22×C22⋊C412yes—
1346C23×C4C22×C22⋊C412yes—
1347C23×C4C22×C22⋊C412yes—
1348C23×C4C22×C22⋊C412yes—
1349C23×C4C22×C22⋊C412yes—
1350C23×C4C22×C22⋊C412yes—
1351C23×C4C22×C22⋊C411yescharacteristic
1352C23×C4C2×C4×D411yescharacteristic
1353C23×C4C2×C4×D412yes—
1354C23×C4C2×C4×D412yes—
1355C23×C4C2×C4×D411yescharacteristic
1356C23×C4C2×C4×D411yescharacteristic
1357C23×C4C2×C4×D411yescharacteristic
1358C23×C4C2×C4×D411yescharacteristic
1359C23×C4C2×C4×D411yescharacteristic
1360C23×C4C2×C4×D411yescharacteristic
1361C23×C4C2×C4×D411yescharacteristic
1362C23×C4C2×C4×D411yescharacteristic
1363C23×C4C2×C4×D412yes—
1364C23×C4C2×C4×D412yes—
1365C23×C4C2×C4×D412yes—
1366C23×C4C2×C4×D412yes—
1367C23×C4C2×C4×D412yes—
1368C23×C4C2×C4×D412yes—
1369C23×C4C2×C4×D412yes—
1370C23×C4C2×C4×D412yes—
1371C23×C4C2×C4×D412yes—
1372C23×C4C2×C4×D412yes—
1373C23×C4C2×C4×D411yescharacteristic
1374C23×C4C2×C4×D411yescharacteristic
1375C23×C4C2×C4×D411yescharacteristic
1376C23×C4C2×C4×D411yescharacteristic
1377C23×C4C2×C4×D411yescharacteristic
1378C23×C4C2×C4×D411yescharacteristic
1379C23×C4C2×C4×D411yescharacteristic
1380C23×C4C2×C4×D411yescharacteristic
1381C23×C4C2×C4×D411yescharacteristic
1382C23×C4#51811yescharacteristic
1383C23×C4#51811yescharacteristic
1384C23×C4#51811yescharacteristic
1385C23×C4#51811yescharacteristic
1386C23×C4#51812yes—
1387C23×C4#51812yes—
1388C23×C4#51812yes—
1389C23×C4#51812yes—
1390C23×C4#51812yes—
1391C23×C4#51812yes—
1392C23×C4D4212yes—
1393C23×C4D4212yes—
1394C23×C4D4212yes—
1395C23×C4D4212yes—
1396C23×C4D4212yes—
1397C23×C4D4212yes—
1398C23×C4D4212yes—
1399C23×C4D4212yes—
1400C23×C4D4212yes—
1401C23×C4D4212yes—
1402C23×C4D4212yes—
1403C23×C4D4212yes—
1404C23×C4#54612yes—
1405C23×C4#54612yes—
1406C23×C4#54612yes—
1407C23×C4#54612yes—
1408C23×C4#54612yes—
1409C23×C4#54612yes—
1410C23×C4#54612yes—
1411C23×C4#54612yes—
1412C23×C4#54612yes—
1413C23×C4#54612yes—
1414C23×C4#54612yes—
1415C23×C4#54612yes—
1416C23×C4#54612yes—
1417C23×C4#54612yes—
1418C23×C4#54612yes—
1419C23×C4#54612yes—
1420C23×C4C24×C411yescharacteristic
1421C23×C4C24×C411yescharacteristic
1422C23×C4C24×C411yescharacteristic
1423C23×C4C24×C412yes—
1424C23×C4C24×C412yes—
1425C23×C4C24×C411yescharacteristic
1426C23×C4C24×C411yescharacteristic
1427C23×C4C24×C411yescharacteristic
1428C23×C4C23×D412yes—
1429C23×C4C23×D412yes—
1430C23×C4C23×D412yes—
1431C23×C4C23×D412yes—
1432C23×C4C23×D412yes—
1433C23×C4C23×D412yes—
1434C23×C4C23×D411yescharacteristic
1435C23×C4C23×D411yescharacteristic
1436C23×C4C23×D411yescharacteristic
1437C23×C4C22×#4111yescharacteristic
1438C23×C4C22×#4111yescharacteristic
1439C23×C4C22×#4111yescharacteristic
1440C23×C4C22×#4111yescharacteristic
1441C23×C4C22×#4111yescharacteristic
1442C23×C4C22×#4111yescharacteristic
1443C23×C4C2×H(5,𝔽2)12yes—
1444C23×C4C2×H(5,𝔽2)12yes—
1445C23×C4C2×H(5,𝔽2)12yes—
1446C23×C4C2×H(5,𝔽2)12yes—
1447C23×C4C2×H(5,𝔽2)12yes—
1448C23×C4C2×H(5,𝔽2)12yes—
1449C23×C4C2611yescharacteristic
1450AGL(1,ℤ/8)C2×#99132yescomplemented
1451AGL(1,ℤ/8)C2×#99132yescomplemented
1452C2×SD16C2×#99116yescomplemented
1453C2×SD16C22×C22⋊C418yes—
1454C2×SD16C22×C22⋊C418yes—
1455C2×SD16C22×C22⋊C418yes—
1456C2×SD16C22×C22⋊C4116yes—
1457C2×SD16C22×C22⋊C4116yes—
1458C2×SD16C22×C22⋊C4116yes—
1459C2×SD16C22×C22⋊C4116yes—
1460C2×SD16C22×C22⋊C4116yes—
1461C2×SD16C22×C22⋊C4116yes—
1462C2×SD16C22×C22⋊C418yes—
1463C2×D8C2×#99116yescomplemented
1464C2×D8C22×C22⋊C418yes—
1465C2×D8C22×C22⋊C418yes—
1466C2×D8C22×C22⋊C418yes—
1467C2×D8C22×C22⋊C4116yes—
1468C2×D8C22×C22⋊C4116yes—
1469C2×D8C22×C22⋊C4116yes—
1470C2×D8C22×C22⋊C4116yes—
1471C2×D8C22×C22⋊C4116yes—
1472C2×D8C22×C22⋊C4116yes—
1473C2×D8C22×C22⋊C418yes—
1474C2×M16C2×#9918yescomplemented
1475C2×M16C22×C22⋊C412yes—
1476C2×M16C22×C22⋊C412yes—
1477C2×M16C22×C22⋊C414yes—
1478C2×M16C22×C22⋊C414yes—
1479C2×M16C22×C22⋊C414yes—
1480C2×M16C22×C22⋊C414yes—
1481C2×M16C22×C22⋊C418yes—
1482C2×M16C22×C22⋊C418yes—
1483C2×M16C22×C22⋊C414yes—
1484C2×M16C22×C22⋊C414yes—
1485C2×M16C22×C22⋊C418yes—
1486C2×M16C22×C22⋊C418yes—
1487C2×M16C22×C22⋊C412yes—
1488C2×M16C22×C22⋊C412yes—
1489C22×C8C22×C22⋊C412yes—
1490C22×C8C22×C22⋊C414yes—
1491C22×C8C22×C22⋊C414yes—
1492C22×C8C22×C22⋊C418yes—
1493C22×C8C22×C22⋊C414yes—
1494C22×C8C22×C22⋊C418yes—
1495C22×C8C22×C22⋊C412yes—
1496C22×C8C24×C414yes—
1497C22×C8C24×C414yes—
1498C22×C8C24×C414yes—
1499C22×C8C24×C414yes—
1500C22×C8C23×D418yes—
1501C22×C8C23×D418yes—
1502C2×C4⋊C4C2×C4×D412yes—
1503C2×C4⋊C4C2×C4×D412yes—
1504C2×C4⋊C4C2×C4×D412yes—
1505C2×C4⋊C4C2×C4×D412yes—
1506C2×C4⋊C4C2×C4×D412yes—
1507C2×C4⋊C4C2×C4×D412yes—
1508C2×C4⋊C4C24×C414yes—
1509C2×C4⋊C4C24×C412yes—
1510C2×C4⋊C4C24×C412yes—
1511C2×C4⋊C4C22×#4112yes—
1512C2×C4⋊C4C22×#4112yes—
1513C2×C22⋊C4C2×C4×D412yes—
1514C2×C22⋊C4C2×C4×D412yes—
1515C2×C22⋊C4C2×C4×D412yes—
1516C2×C22⋊C4C2×C4×D412yes—
1517C2×C22⋊C4C2×C4×D412yes—
1518C2×C22⋊C4C2×C4×D412yes—
1519C2×C22⋊C4C2×C4×D412yes—
1520C2×C22⋊C4C2×C4×D412yes—
1521C2×C22⋊C4C2×C4×D412yes—
1522C2×C22⋊C4C2×C4×D412yes—
1523C2×C22⋊C4C2×C4×D412yes—
1524C2×C22⋊C4C2×C4×D412yes—
1525C2×C22⋊C4C23×D4116yes—
1526C2×C22⋊C4C23×D412yes—
1527C2×C22⋊C4C23×D412yes—
1528C2×C22⋊C4C22×#4112yes—
1529C2×C22⋊C4C22×#4112yes—
1530C2×C42C2×C4×D412yes—
1531C2×C42C2×C4×D412yes—
1532C2×C42C2×C4×D412yes—
1533C2×C42C2×C4×D412yes—
1534C2×C42C2×C4×D412yes—
1535C2×C42C2×C4×D412yes—
1536C2×C42C24×C412yes—
1537C2×C42C24×C412yes—
1538C24D4×C22⋊C411yescharacteristic
1539C24D4×C22⋊C411yescharacteristic
1540C24D4×C22⋊C412yes—
1541C24D4×C22⋊C412yes—
1542C24D4×C22⋊C412yes—
1543C24D4×C22⋊C412yes—
1544C24D4×C22⋊C411yescharacteristic
1545C24D4×C22⋊C412yes—
1546C24D4×C22⋊C412yes—
1547C24D4×C22⋊C411yescharacteristic
1548C24C22×C4×D411yescharacteristic
1549C24C22×C4×D411yescharacteristic
1550C24C22×C4×D411yescharacteristic
1551C24C22×C4×D412yes—
1552C24C22×C4×D412yes—
1553C24C22×C4×D411yescharacteristic
1554C24C22×C4×D411yescharacteristic
1555C24C22×C4×D411yescharacteristic
1556C24C2×D4212yes—
1557C24C2×D4212yes—
1558C24C2×D4212yes—
1559C24C2×D4212yes—
1560C24C2×D4212yes—
1561C24C2×D4212yes—
1562C24C24×D411yescharacteristic
1563#41C22×#9918yes—
1564#41C22×#9918yescomplemented
1565C2×Q8C22×#9914yescomplemented
1566C2×Q8C23×C22⋊C412yes—
1567C2×Q8C23×C22⋊C414yes—
1568C2×Q8C23×C22⋊C412yes—
1569C2×D4C22×#9918yes—
1570C2×D4C22×#9918yes—
1571C2×D4C22×#9918yes—
1572C2×D4C22×#9914yescomplemented
1573C2×D4C23×C22⋊C412yes—
1574C2×D4C23×C22⋊C414yes—
1575C2×D4C23×C22⋊C414yes—
1576C2×D4C23×C22⋊C418yes—
1577C2×D4C23×C22⋊C412yes—
1578C2×D4C23×C22⋊C414yes—
1579C2×D4#358518yes—
1580C22×C4D4×C22⋊C411yescharacteristic
1581C22×C4D4×C22⋊C411yescharacteristic
1582C22×C4D4×C22⋊C411yescharacteristic
1583C22×C4D4×C22⋊C411yescharacteristic
1584C22×C4D4×C22⋊C411yescharacteristic
1585C22×C4D4×C22⋊C411yescharacteristic
1586C22×C4D4×C22⋊C411yescharacteristic
1587C22×C4D4×C22⋊C411yescharacteristic
1588C22×C4D4×C22⋊C411yescharacteristic
1589C22×C4D4×C22⋊C412yes—
1590C22×C4D4×C22⋊C412yes—
1591C22×C4D4×C22⋊C412yes—
1592C22×C4D4×C22⋊C412yes—
1593C22×C4D4×C22⋊C412yes—
1594C22×C4D4×C22⋊C412yes—
1595C22×C4D4×C22⋊C412yes—
1596C22×C4D4×C22⋊C412yes—
1597C22×C4D4×C22⋊C412yes—
1598C22×C4D4×C22⋊C412yes—
1599C22×C4D4×C22⋊C412yes—
1600C22×C4D4×C22⋊C412yes—
1601C22×C4D4×C22⋊C412yes—
1602C22×C4D4×C22⋊C412yes—
1603C22×C4D4×C22⋊C412yes—
1604C22×C4D4×C22⋊C412yes—
1605C22×C4D4×C22⋊C412yes—
1606C22×C4D4×C22⋊C412yes—
1607C22×C4D4×C22⋊C411yescharacteristic
1608C22×C4D4×C22⋊C411yescharacteristic
1609C22×C4D4×C22⋊C411yescharacteristic
1610C22×C4C22×#9914yes—
1611C22×C4#288314yes—
1612C22×C4C23×C22⋊C412yes—
1613C22×C4C23×C22⋊C412yes—
1614C22×C4C23×C22⋊C412yes—
1615C22×C4C23×C22⋊C411yescharacteristic
1616C22×C4C23×C22⋊C411yescharacteristic
1617C22×C4C23×C22⋊C411yescharacteristic
1618C22×C4C23×C22⋊C411yescharacteristic
1619C22×C4C23×C22⋊C411yescharacteristic
1620C22×C4C23×C22⋊C411yescharacteristic
1621C22×C4C22×C4×D412yes—
1622C22×C4C22×C4×D412yes—
1623C22×C4C22×C4×D411yescharacteristic
1624C22×C4C22×C4×D411yescharacteristic
1625C22×C4C22×C4×D411yescharacteristic
1626C22×C4C22×C4×D412yes—
1627C22×C4C22×C4×D412yes—
1628C22×C4C22×C4×D412yes—
1629C22×C4C22×C4×D412yes—
1630C22×C4C22×C4×D411yescharacteristic
1631C22×C4C22×C4×D411yescharacteristic
1632C22×C4C22×C4×D411yescharacteristic
1633C22×C4C2×#51811yescharacteristic
1634C22×C4C2×#51811yescharacteristic
1635C22×C4C2×#51811yescharacteristic
1636C22×C4C2×#51811yescharacteristic
1637C22×C4C2×#51811yescharacteristic
1638C22×C4C2×#51811yescharacteristic
1639C22×C4C2×#51812yes—
1640C22×C4C2×#51812yes—
1641C22×C4C2×#51812yes—
1642C22×C4C2×D4212yes—
1643C22×C4C2×D4212yes—
1644C22×C4C2×D4212yes—
1645C22×C4C2×D4212yes—
1646C22×C4C2×D4212yes—
1647C22×C4C2×D4212yes—
1648C22×C4C2×#54612yes—
1649C22×C4C2×#54612yes—
1650C22×C4C2×#54612yes—
1651C22×C4C2×#54612yes—
1652C22×C4C2×#54612yes—
1653C22×C4C2×#54612yes—
1654C22×C4C2×#54612yes—
1655C22×C4C2×#54612yes—
1656C22×C4C2×#54612yes—
1657C22×C4C2×#54612yes—
1658C22×C4C2×#54612yes—
1659C22×C4C2×#54612yes—
1660C22×C4C25×C411yescharacteristic
1661C22×C4C24×D412yes—
1662C22×C4C23×#4111yescharacteristic
1663C22×C4C22×H(5,𝔽2)12yes—
1664SD16C22×#99132yescomplemented
1665D8C22×#99132yescomplemented
1666M16C22×#9918yes—
1667M16C22×#9918yescomplemented
1668C2×C8C22×#9918yescomplemented
1669C2×C8C23×C22⋊C414yes—
1670C2×C8C23×C22⋊C418yes—
1671C2×C8C23×C22⋊C414yes—
1672C23D4×#9914yes—
1673C23C2×D4×C22⋊C412yes—
1674C23C2×D4×C22⋊C412yes—
1675C23C2×D4×C22⋊C412yes—
1676C23C2×D4×C22⋊C411yescharacteristic
1677C23C2×D4×C22⋊C411yescharacteristic
1678C23C2×D4×C22⋊C411yescharacteristic
1679C23C2×D4×C22⋊C411yescharacteristic
1680C23C2×D4×C22⋊C411yescharacteristic
1681C23C2×D4×C22⋊C411yescharacteristic
1682C23#6016814yescomplemented
1683C23C23×C4×D411yescharacteristic
1684C23C22×D4212yes—
1685C23C2×#358514yes—
1686Q8C23×#9914yes—
1687D4C23×#9914yes—
1688D4C23×#9918yes—
1689C2×C4D4×#9914yes—
1690C2×C4D4×#9914yes—
1691C2×C4D4×#9914yes—
1692C2×C4C2×D4×C22⋊C411yescharacteristic
1693C2×C4C2×D4×C22⋊C411yescharacteristic
1694C2×C4C2×D4×C22⋊C411yescharacteristic
1695C2×C4C2×D4×C22⋊C412yes—
1696C2×C4C2×D4×C22⋊C412yes—
1697C2×C4C2×D4×C22⋊C412yes—
1698C2×C4C2×D4×C22⋊C411yescharacteristic
1699C2×C4C2×D4×C22⋊C411yescharacteristic
1700C2×C4C2×D4×C22⋊C411yescharacteristic
1701C2×C4C23×#9912yes—
1702C2×C4C23×#9912yes—
1703C2×C4C23×#9912yes—
1704C2×C4C2×#288312yes—
1705C2×C4C2×#288312yes—
1706C2×C4C2×#288312yes—
1707C2×C4#6016814yescomplemented
1708C2×C4C24×C22⋊C411yescharacteristic
1709C2×C4C22×#51811yescharacteristic
1710C2×C4C22×#54612yes—
1711C8C23×#9918yes—
1712C22C2×D4×#9912yes—
1713C22C2×D4×#9912yes—
1714C22C2×D4×#9912yes—
1715C22#637918512yes—
1716C22C22×D4×C22⋊C411yescharacteristic
1717C22C2×#6016812yes—
1718C22#1057610814yes—
1719C4C2×D4×#9912yes—
1720C4C2×D4×#9912yes—
1721C4C2×D4×#9912yes—
1722C4C24×#9911yescharacteristic
1723C4C22×#288311yescharacteristic
1724C2#7224955811yescharacteristic
1725C2C2×#637918511yescharacteristic
1726C2C22×D4×#9911yescharacteristic
subgroupG/H
center, socleC22C22×D4×C22⋊C4
commutatorC22×C4C25×C4
Frattini, cosocleC23×C4C26
prime radicalC22×D4×AGL(1,ℤ/8)C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C25×C4 ◁ G
LECSG ▷ C23×C4 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #72339589C2semidirect
2. #72339588C2semidirect
3. #72339582C2semidirect
4. #72339578C2semidirect
5. #72339544C2semidirect
6. #72339504C2semidirect
7. #72339486C2semidirect
8. #99×AGL(1,ℤ/8)C2semidirect
9. #72310886C2semidirect
10. #72310746C2semidirect
11. #72257763C2semidirect
12. #72257754C2semidirect
13. #72249558C2semidirect
14. #72235984C2semidirect
15. C2×#6385971C2semidirect
17. C2×#185643C2semidirect
18. C24×AGL(1,ℤ/8)C4semidirect
22. C2×D4×AGL(1,ℤ/8)C4semidirect
23. C2×D4×AGL(1,ℤ/8)C4semidirect
26. C22×#3272C4semidirect
27. C22×#3274C4semidirect
28. C22×#3265C4semidirect
30. C22×#3264C4semidirect
34. C22×#3151C4semidirect
35. C22×#3038C4semidirect
36. C22×#3036C4semidirect
37. C22×#3055C4semidirect
39. C22×#3006C4semidirect
41. C22×#3003C4semidirect
44. C22×C4×AGL(1,ℤ/8)C4semidirect
45. #7625442C22semidirect
46. C2×#34171C22semidirect
47. #6386368C22semidirect
48. #6386291C22semidirect
49. #6386222C22semidirect
50. #6386107C22semidirect
52. #6385971C22semidirect
53. #6385971C22semidirect
54. #6385971C22semidirect
55. #41×#99C22semidirect
56. #6379151C22semidirect
57. C22⋊C4×AGL(1,ℤ/8)C22semidirect
58. #6379135C22semidirect
59. #6379134C22semidirect
60. C2×D4×#99C22semidirect
61. #6374576C22semidirect
62. C2×#21793C22semidirect
66. #6370810C22semidirect
67. #6370715C22semidirect
68. C2×#20598C22semidirect
69. #6369812C22semidirect
70. #6343373C22semidirect
71. C2×#17577C22semidirect
73. SD16×#99C22semidirect
74. D8×#99C22semidirect
75. #220265C22semidirect
76. #220264C22semidirect
77. #220245C22semidirect
78. #220244C22semidirect
79. #205799C22semidirect
80. #205796C22semidirect
81. #205760C22semidirect
82. #205758C22semidirect
83. #198470C22semidirect
84. #198463C22semidirect
85. #198463C22semidirect
86. #198460C22semidirect
87. #198444C22semidirect
88. #198432C22semidirect
89. #198416C22semidirect
90. #198404C22semidirect
91. #188814C22semidirect
92. #188814C22semidirect
93. #188811C22semidirect
94. #188806C22semidirect
95. #185655C22semidirect
96. #185652C22semidirect
97. #185649C22semidirect
98. #185646C22semidirect
100. #185643C22semidirect
101. #185643C22semidirect
102. #185643C22semidirect
103. #185623C22semidirect
104. C2×#8375C22semidirect
105. #183092C22semidirect
106. M16×#99C22semidirect
107. #182084C22semidirect
108. #182080C22semidirect
109. #181480C22semidirect
110. #181241C22semidirect
111. C24×#41C2×C4semidirect
113. C25×D4C2×C4semidirect
123. C23×AGL(1,ℤ/8)C2×C4semidirect
124. C23×AGL(1,ℤ/8)C2×C4semidirect
125. C23×AGL(1,ℤ/8)C2×C4semidirect
126. C23×AGL(1,ℤ/8)C2×C4semidirect
127. C23×AGL(1,ℤ/8)C2×C4semidirect
128. C23×AGL(1,ℤ/8)C2×C4semidirect
129. C23×AGL(1,ℤ/8)C2×C4semidirect
130. C23×AGL(1,ℤ/8)C2×C4semidirect
131. C23×AGL(1,ℤ/8)C2×C4semidirect
142. C24×SD16C2×C4semidirect
144. C24×D8C2×C4semidirect
146. C24×M16C2×C4semidirect
148. C2×D4×#41C2×C4semidirect
149. C2×D4×#41C2×C4semidirect
152. C22×#550C2×C4semidirect
153. C22×#547C2×C4semidirect
154. C22×#548C2×C4semidirect
156. C22×#546C2×C4semidirect
159. C22×D42C2×C4semidirect
160. C22×D42C2×C4semidirect
161. C22×D42C2×C4semidirect
162. C22×D42C2×C4semidirect
168. C22×#532C2×C4semidirect
169. C23×#127C2×C4semidirect
170. C22×#525C2×C4semidirect
172. C23×#121C2×C4semidirect
174. C22×C4×#41C2×C4semidirect
175. C23×C4×D4C2×C4semidirect
177. C2×D4×SD16C2×C4semidirect
179. C2×D4×D8C2×C4semidirect
181. C2×#3274C2×C4semidirect
182. C2×#3274C2×C4semidirect
183. C2×#3272C2×C4semidirect
184. C2×#3272C2×C4semidirect
185. C2×#3265C2×C4semidirect
186. C2×#3265C2×C4semidirect
187. C2×#3265C2×C4semidirect
189. C2×#3264C2×C4semidirect
190. C2×#3264C2×C4semidirect
191. C2×#3264C2×C4semidirect
193. C2×#3151C2×C4semidirect
194. C2×#3151C2×C4semidirect
195. C22×#496C2×C4semidirect
196. C22×#496C2×C4semidirect
197. C22×#493C2×C4semidirect
198. C22×#492C2×C4semidirect
199. C2×#3055C2×C4semidirect
200. C2×#3055C2×C4semidirect
201. C2×#3055C2×C4semidirect
202. C2×#3055C2×C4semidirect
205. C22×#469C2×C4semidirect
206. C22×#469C2×C4semidirect
207. C22×#468C2×C4semidirect
208. C22×#468C2×C4semidirect
209. C22×#466C2×C4semidirect
211. C22×#465C2×C4semidirect
213. C2×#3038C2×C4semidirect
214. C2×#3038C2×C4semidirect
215. C2×#3036C2×C4semidirect
216. C2×#3036C2×C4semidirect
217. C22×#460C2×C4semidirect
218. C22×#460C2×C4semidirect
219. C22×#463C2×C4semidirect
220. C22×#463C2×C4semidirect
221. C22×#461C2×C4semidirect
222. C22×#459C2×C4semidirect
223. C22×#459C2×C4semidirect
224. C22×#459C2×C4semidirect
225. C2×#3006C2×C4semidirect
226. C2×#3006C2×C4semidirect
227. C2×#3006C2×C4semidirect
228. C2×#3006C2×C4semidirect
231. C2×#3003C2×C4semidirect
232. C2×#3003C2×C4semidirect
233. C2×#3003C2×C4semidirect
234. C2×#3003C2×C4semidirect
237. C22×#449C2×C4semidirect
238. C22×#449C2×C4semidirect
239. C22×#449C2×C4semidirect
240. C22×#449C2×C4semidirect
241. C22×#448C2×C4semidirect
243. C22×#450C2×C4semidirect
244. C22×#450C2×C4semidirect
245. C22×#450C2×C4semidirect
247. C22×#447C2×C4semidirect
248. C22×#447C2×C4semidirect
249. C22×#447C2×C4semidirect
250. C22×#447C2×C4semidirect
253. C2×C4×AGL(1,ℤ/8)C2×C4semidirect
254. C2×C4×AGL(1,ℤ/8)C2×C4semidirect
255. C22×#442C2×C4semidirect
256. C22×#440C2×C4semidirect
257. C22×C4×SD16C2×C4semidirect
258. C22×C4×D8C2×C4semidirect
259. C2×D4×M16C2×C4semidirect
260. C2×D4×M16C2×C4semidirect
263. C22×#436C2×C4semidirect
264. C22×#435C2×C4semidirect
267. C22×#428C2×C4semidirect
268. C22×#423C2×C4semidirect
269. C22×#417C2×C4semidirect
270. C22×#417C2×C4semidirect
271. C22×#417C2×C4semidirect
272. C22×#418C2×C4semidirect
273. C22×#418C2×C4semidirect
274. C22×#418C2×C4semidirect
275. C22×#407C2×C4semidirect
278. C22×C4×M16C2×C4semidirect
279. #34175C23semidirect
280. #34173C23semidirect
282. #34171C23semidirect
283. #34171C23semidirect
284. C22⋊C4×#41C23semidirect
285. C2×D4×C22⋊C4C23semidirect
289. #22534C23semidirect
290. Q8×#99C23semidirect
291. #22476C23semidirect
292. C22⋊C4×SD16C23semidirect
293. C22⋊C4×D8C23semidirect
294. #22437C23semidirect
295. #22436C23semidirect
297. D4×#99C23semidirect
298. D4×#99C23semidirect
299. #21874C23semidirect
300. #21825C23semidirect
302. #21793C23semidirect
303. #21793C23semidirect
304. #21420C23semidirect
305. C2×#1964C23semidirect
319. #20661C23semidirect
320. #20661C23semidirect
321. #20658C23semidirect
325. #20601C23semidirect
326. #20599C23semidirect
328. #20598C23semidirect
329. #20598C23semidirect
330. #20597C23semidirect
331. C2×#1786C23semidirect
334. #20389C23semidirect
335. C22⋊C4×M16C23semidirect
336. #20385C23semidirect
337. #17592C23semidirect
338. #17578C23semidirect
340. #17577C23semidirect
341. #17577C23semidirect
342. #17572C23semidirect
343. C2×#1519C23semidirect
348. #9786C23semidirect
349. #9785C23semidirect
350. #9783C23semidirect
351. #9781C23semidirect
352. #9262C23semidirect
353. #9259C23semidirect
354. #9259C23semidirect
355. #9255C23semidirect
356. #8610C23semidirect
357. #8609C23semidirect
358. #8608C23semidirect
359. #8381C23semidirect
360. #8379C23semidirect
361. #8377C23semidirect
363. #8375C23semidirect
364. #8375C23semidirect
365. #8161C23semidirect
366. #8160C23semidirect
367. C8×#99C23semidirect
368. #7983C23semidirect
369. #7983C23semidirect
370. #7982C23semidirect
371. #7929C23semidirect
372. #7927C23semidirect
373. #7925C23semidirect
382. C23×#41C22×C4semidirect
383. C23×#41C22×C4semidirect
384. C23×#41C22×C4semidirect
393. C24×Q8C22×C4semidirect
405. C24×D4C22×C4semidirect
483. C22×AGL(1,ℤ/8)C22×C4semidirect
484. C22×AGL(1,ℤ/8)C22×C4semidirect
485. C22×AGL(1,ℤ/8)C22×C4semidirect
486. C22×AGL(1,ℤ/8)C22×C4semidirect
487. C22×AGL(1,ℤ/8)C22×C4semidirect
507. C23×SD16C22×C4semidirect
508. C23×SD16C22×C4semidirect
509. C23×SD16C22×C4semidirect
510. C23×SD16C22×C4semidirect
524. C23×D8C22×C4semidirect
525. C23×D8C22×C4semidirect
526. C23×D8C22×C4semidirect
527. C23×D8C22×C4semidirect
542. C23×M16C22×C4semidirect
543. C23×M16C22×C4semidirect
551. C24×C8C22×C4semidirect
554. C2×#550C22×C4semidirect
555. C2×D4×Q8C22×C4semidirect
558. C2×#548C22×C4semidirect
559. C2×#548C22×C4semidirect
562. C2×#547C22×C4semidirect
564. C2×#546C22×C4semidirect
565. C2×#546C22×C4semidirect
573. C2×D42C22×C4semidirect
578. C2×#532C22×C4semidirect
579. C22×C4⋊Q8C22×C4semidirect
584. C22×#127C22×C4semidirect
585. C22×#124C22×C4semidirect
586. C22×#124C22×C4semidirect
590. C2×#525C22×C4semidirect
594. C22×C22⋊Q8C22×C4semidirect
595. C22×C22⋊Q8C22×C4semidirect
605. C22×#121C22×C4semidirect
606. C22×#121C22×C4semidirect
612. C2×C4×#41C22×C4semidirect
613. C22×C4×Q8C22×C4semidirect
614. C22×C4×Q8C22×C4semidirect
623. C22×C4×D4C22×C4semidirect
624. C22×C4×D4C22×C4semidirect
643. C2×#496C22×C4semidirect
644. C2×#496C22×C4semidirect
645. C2×#493C22×C4semidirect
646. C2×#492C22×C4semidirect
648. C2×#469C22×C4semidirect
649. C2×#469C22×C4semidirect
651. C2×#468C22×C4semidirect
652. C2×#468C22×C4semidirect
653. C2×#466C22×C4semidirect
654. C2×#466C22×C4semidirect
656. C2×#465C22×C4semidirect
657. C2×#465C22×C4semidirect
659. C2×#460C22×C4semidirect
660. C2×#460C22×C4semidirect
661. C2×#463C22×C4semidirect
662. C2×#463C22×C4semidirect
663. C2×#461C22×C4semidirect
664. C2×#459C22×C4semidirect
665. C2×#459C22×C4semidirect
666. C2×#459C22×C4semidirect
669. C2×#449C22×C4semidirect
670. C2×#449C22×C4semidirect
671. C2×#449C22×C4semidirect
672. C2×#449C22×C4semidirect
673. C2×#448C22×C4semidirect
674. C2×#448C22×C4semidirect
679. C2×#450C22×C4semidirect
680. C2×#450C22×C4semidirect
685. C2×#447C22×C4semidirect
686. C2×#447C22×C4semidirect
687. C2×#447C22×C4semidirect
688. C2×#447C22×C4semidirect
691. C2×#442C22×C4semidirect
692. C2×#440C22×C4semidirect
693. C2×C4×SD16C22×C4semidirect
694. C2×C4×D8C22×C4semidirect
696. C2×#436C22×C4semidirect
698. C2×#435C22×C4semidirect
699. C2×#435C22×C4semidirect
701. C2×C8×D4C22×C4semidirect
704. C2×#428C22×C4semidirect
705. C22×#107C22×C4semidirect
706. C22×#106C22×C4semidirect
708. C2×#423C22×C4semidirect
709. C22×C4⋊C8C22×C4semidirect
710. C22×C4⋊C8C22×C4semidirect
714. C2×#417C22×C4semidirect
715. C2×#417C22×C4semidirect
716. C2×#417C22×C4semidirect
722. C2×#418C22×C4semidirect
723. C22×#103C22×C4semidirect
724. C22×#103C22×C4semidirect
725. C22×#103C22×C4semidirect
730. C22×#102C22×C4semidirect
731. C22×#102C22×C4semidirect
732. C22×#102C22×C4semidirect
733. C22×#102C22×C4semidirect
734. C22×#102C22×C4semidirect
739. C2×#407C22×C4semidirect
745. C22×C22⋊C8C22×C4semidirect
746. C22×C22⋊C8C22×C4semidirect
750. C2×C4×M16C22×C4semidirect
751. C22×#97C22×C4semidirect
752. C22×C4×C8C22×C4semidirect
753. Q8×C22⋊C4C24semidirect
755. D4×C22⋊C4C24semidirect
769. #1996C24semidirect
771. #1964C24semidirect
775. #1808C24semidirect
776. #1807C24semidirect
785. #1787C24semidirect
787. #1786C24semidirect
795. #1752C24semidirect
796. C8×C22⋊C4C24semidirect
798. #1520C24semidirect
800. #1519C24semidirect
803. #1289C24semidirect
804. #1282C24semidirect
952. C2×AGL(1,ℤ/8)#99semidirect
1262. C2×#41C2×#99semidirect
1295. C22×D4C2×#99semidirect
1450. AGL(1,ℤ/8)C2×#99semidirect
1451. AGL(1,ℤ/8)C2×#99semidirect
1452. C2×SD16C2×#99semidirect
1463. C2×D8C2×#99semidirect
1474. C2×M16C2×#99semidirect
1564. #41C22×#99semidirect
1565. C2×Q8C22×#99semidirect
1572. C2×D4C22×#99semidirect
1664. SD16C22×#99semidirect
1665. D8C22×#99semidirect
1667. M16C22×#99semidirect
1668. C2×C8C22×#99semidirect
1682. C23#60168semidirect
1707. C2×C4#60168semidirect

Maximal subgroups

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

subgroupindex
#723395892
#723395882
#723395822
#723395782
#723395442
#723395042
#723394862
#99×AGL(1,ℤ/8)2
#723108862
#723107462
#722577632
#722577542
#722495582
#722359842
C2×#63859712
C22×D4×AGL(1,ℤ/8)2
C2×#1856432