Finite Group Databasebeta

← C2×#72251274 #72317444

Subgroups — C2×#72251274 #72317444

Order 2048.

Only the 38848 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 1425 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#6454869C212yesmaximal, complemented
2C2×#6542240C218yesmaximal, complemented
3C2×#6513005C214yesmaximal, complemented
4C2×#6491478C212yesmaximal, complemented
5C2×#6596184C214yesmaximal, complemented
6C2×#7631287C212yesmaximal, complemented
7C22×D4×#99C211yesmaximal, characteristic, complemented
8C2×#6591500C214yesmaximal, complemented
9#72251274C2164yesmaximal, direct product factor
10C2×#6533135C218yesmaximal, complemented
11C2×#6595772C214yesmaximal, complemented
12C2×#6500010C218yesmaximal, complemented
13C22×#24404C214yesmaximal, complemented
14C2×D4×B(4,𝔽2)C214yesmaximal, complemented
15C2×#6470225C214yesmaximal, complemented
16C2×#6393523C212yesmaximal, complemented
17C2×#10586472C211yesmaximal, characteristic, complemented
18C2×#7631286C211yesmaximal, characteristic, complemented
19C24×H(5,𝔽2)C2211yescharacteristic, complemented
20#10586472C22132yescomplemented
21C2×#62892C2218yescomplemented
22C2×#62818C2212yescomplemented
23C2×#62817C2214yescomplemented
24C2×#62983C2214yescomplemented
25C2×D4×H(5,𝔽2)C2214yescomplemented
26C2×#62773C2212yescomplemented
27C22×#3484C2212yes—
28C22×#3484C2214yescomplemented
29C23×D42C2211yescharacteristic
30C23×B(4,𝔽2)C2214yescomplemented
31C24×#99C2212yescomplemented
32#7631287C22164yescomplemented
33#7631286C22132yescomplemented
34C2×#36213C2218yescomplemented
35C2×#36212C2214yescomplemented
36C2×#36212C2218yescomplemented
37C2×#36212C2214yescomplemented
38C2×#36152C2218yescomplemented
39C2×D4×#120C2214yescomplemented
40C2×D4×#120C2218yescomplemented
41C2×D4×#120C2214yescomplemented
42C2×#35251C2214yescomplemented
43C2×#35250C2212yescomplemented
44C2×#34980C2218yescomplemented
45C2×#34980C2214yescomplemented
46C2×#34738C2214yescomplemented
47C2×#34736C2212yescomplemented
48C22×#2410C2218yescomplemented
49C22×#2403C2214yescomplemented
50C2×#34171C2211yescharacteristic, complemented
51C22×D4×C22⋊C4C2212yescomplemented
52C2×#33020C2218yescomplemented
53C2×#32975C2214yescomplemented
54C2×#32926C2214yescomplemented
55C2×#32898C2218yescomplemented
56#6596184C221128yescomplemented
57#6595772C221128yescomplemented
58#6591500C221128yescomplemented
59D4×B(4,𝔽2)C221128yescomplemented
60#6542240C221256yescomplemented
61#6533135C221256yescomplemented
62#6513005C221128yescomplemented
63#6500010C221256yescomplemented
64#6491478C22164yescomplemented
65#6470225C221128yescomplemented
66#6454869C22164yescomplemented
67C2×#24112C22116yescomplemented
68C2×#25563C2218yescomplemented
69C2×#25563C2218yescomplemented
70C2×#25563C22116yescomplemented
71C2×#25563C22116yescomplemented
72C2×#23984C22116yescomplemented
73C2×#25663C2218yescomplemented
74C2×#25663C2214yescomplemented
75C2×#25585C2218yescomplemented
76C2×#25585C2214yescomplemented
77C2×#24140C2218yescomplemented
78C2×#24140C2218yescomplemented
79C2×#24140C2218yescomplemented
80C2×#25947C2212yescomplemented
81C2×#25899C2212yescomplemented
82C2×#25899C2218yescomplemented
83C2×#25852C2212yescomplemented
84C2×#24350C2214yescomplemented
85C2×#25771C2212yescomplemented
86C2×#25771C2218yescomplemented
87C2×#24260C2214yescomplemented
88C2×#24260C2218yescomplemented
89C2×#24260C2218yescomplemented
90C2×#24056C2218yescomplemented
91C2×#24056C22116yescomplemented
92C2×#24056C2218yescomplemented
93C2×#24404C2214yescomplemented
94C2×#24404C2218yescomplemented
95C2×#24404C2218yescomplemented
96C2×#24404C2218yescomplemented
97C2×#24404C2214yescomplemented
98C2×#24404C22116yescomplemented
99C2×#24404C22116yescomplemented
100C2×#24404C22116yescomplemented
101C2×#24404C22116yescomplemented
102C2×#24404C22116yescomplemented
103C2×#24404C221128yescomplemented
104C2×#23900C2218yescomplemented
105C2×#23900C22116yescomplemented
106C2×#23900C2218yescomplemented
107C2×#29709C2214yescomplemented
108C2×#29684C2214yescomplemented
109C2×#29634C22116yescomplemented
110C2×#23595C2218yescomplemented
111C22×#2044C2218yescomplemented
112C22×#2021C2218yescomplemented
113#6393523C22164yescomplemented
114C2×#22476C2218yescomplemented
115C2×#22476C2218yescomplemented
116C2×D4×#99C2214yescomplemented
117C2×D4×#99C2214yescomplemented
118C2×D4×#99C2218yescomplemented
119C2×D4×#99C22132yescomplemented
120C2×D4×#99C2218yescomplemented
121C2×D4×#99C2218yescomplemented
122C2×#21874C2214yescomplemented
123C2×#21746C2218yescomplemented
124C2×C4×B(4,𝔽2)C2214yescomplemented
125C2×C4×B(4,𝔽2)C2214yescomplemented
126C2×#21420C2214yescomplemented
127C22×#1964C2212yescomplemented
128C22×#1898C2214yescomplemented
129C22×#1898C2218yescomplemented
130C22×#1889C2214yescomplemented
131C22×#1867C2214yescomplemented
132C22×#1799C2211yescharacteristic, complemented
133C22×#1790C2214yescomplemented
134C22×#1781C2212yescomplemented
135C22×C4×#99C2211yescharacteristic, complemented
136C23×H(5,𝔽2)D412yescomplemented
137C23×H(5,𝔽2)C2314yes—
138C23×H(5,𝔽2)C23116yescomplemented
139C24×#41C2314yescomplemented
140C24×#41C2312yescomplemented
141C25×D4D411yescharacteristic, complemented
142C25×D4C2312yes—
143C25×D4C2311yescharacteristic
144C25×D4C2314yescomplemented
145C25×D4C2314yescomplemented
146#62983C23164yescomplemented
147D4×H(5,𝔽2)C23164yescomplemented
148#62892C231128yescomplemented
149#62818C23132yescomplemented
150#62817C23164yescomplemented
151#62773C23132yescomplemented
152C2×#3505C2318yes—
153C2×#3505C2314yes—
154C2×#3490C2314yes—
155C2×#3490C23116yes—
156C2×#3501C2312yes—
157C2×#3496C2318yes—
158C2×#3496C2312yes—
159C2×#3484D4132yescomplemented
160C2×#3484C23132yes—
161C2×#3484C23116yes—
162C2×#3484C2318yes—
163C2×#3484C2318yes—
164C2×#3484C2318yes—
165C2×#3484C2314yes—
166C2×#3484C23164yescomplemented
167C22×#546D418yescomplemented
168C22×#546C2318yes—
169C22×D42D414yescomplemented
170C22×D42D414yescomplemented
171C22×D42D4116yescomplemented
172C22×D42D418yescomplemented
173C22×D42C2314yes—
174C22×D42C2314yes—
175C22×D42C2318yes—
176C22×D42C23116yes—
177C22×#535D414yescomplemented
178C2×#3459C2314yes—
179C22×#534D418yescomplemented
180C22×#534C2318yes—
181C23×#127D411yescharacteristic, complemented
182C22×#525C2314yes—
183C23×#121D411yescharacteristic, complemented
184C23×#121D412yescomplemented
185C23×#121C2311yescharacteristic
186C23×#120D412yescomplemented
187C23×#120C2318yes—
188C23×#120C2312yes—
189C23×#120C2314yes—
190C23×#120C2318yescomplemented
191C23×#120C2314yescomplemented
192C2×C4×H(5,𝔽2)C2314yes—
193C22×#518D412yescomplemented
194C22×#518C2314yes—
195C23×C4×D4D411yescharacteristic, complemented
196C23×C4×D4C2311yescharacteristic
197C24×C22⋊C4C2314yescomplemented
198C22×B(4,𝔽2)C2314yes—
199C22×B(4,𝔽2)C2318yes—
200C22×B(4,𝔽2)C2314yes—
201C22×B(4,𝔽2)C23116yescomplemented
202C22×B(4,𝔽2)C23116yescomplemented
203C22×B(4,𝔽2)C23164yescomplemented
204C23×#99C2314yes—
205C23×#99C2311yescharacteristic
206C23×#99C2311yescharacteristic
207C23×#99C2312yes—
208C23×#99C2314yes—
209C23×#99C23132yescomplemented
210C23×#99C2318yescomplemented
211C23×#99C2318yescomplemented
212C23×#99C2318yescomplemented
213C23×#99C2314yescomplemented
214C23×#99C2314yescomplemented
215C2×#2849C23116yescomplemented
216C2×#2849C2318yescomplemented
217C2×#2848C2318yescomplemented
218C2×#2847C2318yescomplemented
219C2×#2847C2314yescomplemented
220C2×#2847C2314yescomplemented
221C2×#2846C2318yescomplemented
222C2×#2846C23116yescomplemented
223#36213C231128yescomplemented
224#36212C23164yescomplemented
225#36212C231128yescomplemented
226#36212C23164yescomplemented
227#36152C231128yescomplemented
228D4×#120C23164yescomplemented
229D4×#120C23164yescomplemented
230D4×#120C231128yescomplemented
231#35251C23164yescomplemented
232#35250C23132yescomplemented
233#34980C231128yescomplemented
234#34980C23164yescomplemented
235#34738C23164yescomplemented
236#34736C23132yescomplemented
237C2×#2436C2314yescomplemented
238C2×#2436C2314yescomplemented
239C2×#2435C2314yescomplemented
240C2×#2434C2314yescomplemented
241C2×#2409C2312yes—
242C2×#2409C2312yescomplemented
243C2×#2409C2318yescomplemented
244C2×#2433C2314yescomplemented
245C2×#2433C2314yescomplemented
246C2×#2408C2312yes—
247C2×#2408C2318yescomplemented
248C2×#2408C2312yescomplemented
249C2×#2405C23116yescomplemented
250C2×#2405C2314yescomplemented
251C2×#2410C2318yescomplemented
252C2×#2410C23116yescomplemented
253C2×#2410C23116yescomplemented
254C2×#2410C23116yescomplemented
255C2×#2410C2318yescomplemented
256C2×#2410C2318yescomplemented
257C2×#2410C2318yescomplemented
258C2×#2410C231128yescomplemented
259C2×#2403C2318yes—
260C2×#2403C2314yes—
261C2×#2403C23116yescomplemented
262C2×#2403C2318yescomplemented
263C2×#2403C2318yescomplemented
264C2×#2403C23164yescomplemented
265#34171C23116yescomplemented
266C2×D4×C22⋊C4C2318yescomplemented
267C2×D4×C22⋊C4C2314yescomplemented
268C2×D4×C22⋊C4C2314yescomplemented
269C2×D4×C22⋊C4C2318yescomplemented
270C2×D4×C22⋊C4C23132yescomplemented
271C2×C4×#120C2314yes—
272C2×C4×#120C2314yescomplemented
273C2×C4×#120C2318yescomplemented
274C2×C4×#120C2318yescomplemented
275C22×#386C2314yes—
276C22×#386C2314yescomplemented
277C22×#386C2318yescomplemented
278C22×#385C2318yescomplemented
279C2×#2280C2312yescomplemented
280C22×#380C2312yescomplemented
281C22×#379C2314yescomplemented
282C22×#379C2318yescomplemented
283C22×#379C2314yescomplemented
284C22×C4×C22⋊C4C2312yescomplemented
285#33020C231128yescomplemented
286#32975C23164yescomplemented
287#32926C23164yescomplemented
288#32898C231128yescomplemented
289#29709C23164yescomplemented
290#29684C23164yescomplemented
291#29634C231256yescomplemented
292#25947C23132yescomplemented
293#25899C23132yescomplemented
294#25899C231128yescomplemented
295#25852C23132yescomplemented
296#25771C23132yescomplemented
297#25771C231128yescomplemented
298#25663C23164yescomplemented
299#25663C231128yescomplemented
300#25585C23164yescomplemented
301#25585C231128yescomplemented
302#25563C231256yescomplemented
303#25563C231128yescomplemented
304#25563C231128yescomplemented
305#25563C231256yescomplemented
306#24404C231128yescomplemented
307#24404C23164yescomplemented
308#24404C231128yescomplemented
309#24404C23164yescomplemented
310#24404C231128yescomplemented
311#24404C231256yescomplemented
312#24404C231256yescomplemented
313#24404C231256yescomplemented
314#24404C231256yescomplemented
315#24404C231256yescomplemented
316#24350C23164yescomplemented
317#24260C23164yescomplemented
318#24260C231128yescomplemented
319#24260C231128yescomplemented
320#24140C231128yescomplemented
321#24140C231128yescomplemented
322#24140C231128yescomplemented
323#24112C231256yescomplemented
324#24056C231128yescomplemented
325#24056C231256yescomplemented
326#24056C231128yescomplemented
327#23984C231256yescomplemented
328#23900C231128yescomplemented
329#23900C231128yescomplemented
330#23900C231256yescomplemented
331#23595C231128yescomplemented
332C2×#2062C2318yescomplemented
333C2×#2062C2318yescomplemented
334C2×#2044C2318yescomplemented
335C2×#2044C2318yescomplemented
336C2×#2044C23116yescomplemented
337C2×#2044C2318yescomplemented
338C2×#2044C23116yescomplemented
339C2×#2044C23116yescomplemented
340C2×#2044C23116yescomplemented
341C2×#2044C23116yescomplemented
342C2×#2044C2318yescomplemented
343C2×#2044C231128yescomplemented
344C2×#2029C2318yescomplemented
345C2×#2029C2318yescomplemented
346C2×#2021C23116yescomplemented
347C2×#2021C2318yescomplemented
348C2×#2021C2318yescomplemented
349C2×#2021C23116yescomplemented
350C2×#2021C2318yescomplemented
351C2×#2021C23116yescomplemented
352C2×#2021C23116yescomplemented
353C2×#2021C23116yescomplemented
354C2×#2021C2318yescomplemented
355C2×#2021C231128yescomplemented
356#22476C231128yescomplemented
357#22476C231128yescomplemented
358D4×#99C23164yescomplemented
359D4×#99C23164yescomplemented
360D4×#99C231128yescomplemented
361D4×#99C231128yescomplemented
362D4×#99C231128yescomplemented
363#21874C23164yescomplemented
364#21746C231128yescomplemented
365C4×B(4,𝔽2)C23164yescomplemented
366C4×B(4,𝔽2)C23164yescomplemented
367#21420C23164yescomplemented
368C2×#1996C2318yescomplemented
369C2×#1996C2314yescomplemented
370C2×#1996C2314yescomplemented
371C2×#1964C2318yescomplemented
372C2×#1964C2318yescomplemented
373C2×#1964C2314yescomplemented
374C2×#1964C2318yescomplemented
375C2×#1964C2314yescomplemented
376C2×#1964C23132yescomplemented
377C2×#1898C23116yescomplemented
378C2×#1898C23116yescomplemented
379C2×#1898C23116yescomplemented
380C2×#1898C23116yescomplemented
381C2×#1898C23116yescomplemented
382C2×#1898C23116yescomplemented
383C2×#1898C2318yescomplemented
384C2×#1898C2318yescomplemented
385C2×#1898C23116yescomplemented
386C2×#1898C231128yescomplemented
387C2×#1898C23164yescomplemented
388C2×#1889C2314yes—
389C2×#1889C2318yes—
390C2×#1889C2314yes—
391C2×#1889C23164yescomplemented
392C2×#1889C2318yescomplemented
393C2×#1889C23116yescomplemented
394C2×#1889C2318yescomplemented
395C2×#1889C23116yescomplemented
396C2×#1889C23116yescomplemented
397C2×#1867C2314yes—
398C2×#1867C2318yes—
399C2×#1867C2314yes—
400C2×#1867C23164yescomplemented
401C2×#1867C23116yescomplemented
402C2×#1867C2318yescomplemented
403C2×#1867C23116yescomplemented
404C2×#1867C23116yescomplemented
405C2×#1867C2318yescomplemented
406C2×#1819C23116yescomplemented
407C2×#1799C2314yes—
408C2×#1799C23116yescomplemented
409C2×#1799C2318yescomplemented
410C2×#1799C2314yescomplemented
411C2×#1799C2318yescomplemented
412C2×#1790C2314yes—
413C2×#1790C2318yes—
414C2×#1790C2314yes—
415C2×#1790C23116yescomplemented
416C2×#1790C23116yescomplemented
417C2×#1790C23164yescomplemented
418C2×#1781C2318yes—
419C2×#1781C23116yescomplemented
420C2×#1781C2318yescomplemented
421C2×#1781C23132yescomplemented
422C2×C4×#99C2312yes—
423C2×C4×#99C2312yes—
424C2×C4×#99C2314yescomplemented
425C2×C4×#99C2318yescomplemented
426C2×C4×#99C2318yescomplemented
427C2×C4×#99C23116yescomplemented
428C22×#342C2318yescomplemented
429C22×#342C2312yescomplemented
430C22×#342C2312yescomplemented
431C22×#342C2318yescomplemented
432C27C2×D412yescomplemented
433C27C2412yes—
434C27C2414yes—
435C22×H(5,𝔽2)C2×D4132yescomplemented
436C22×H(5,𝔽2)C24132yes—
437C22×H(5,𝔽2)C2418yes—
438C22×H(5,𝔽2)C2414yes—
439C23×#41C2×D414yescomplemented
440C23×#41C2×D418yescomplemented
441C23×#41C24132yescomplemented
442C23×#41C24116yescomplemented
443C24×Q8C2412yes—
444C24×D4C2×D4116yes—
445C24×D4C2×D411yescharacteristic
446C24×D4C2×D412yes—
447C24×D4C2×D412yes—
448C24×D4C2×D411yescharacteristic
449C24×D4C2×D414yes—
450C24×D4C2×D412yes—
451C24×D4C2×D414yes—
452C24×D4C2×D418yes—
453C24×D4C2×D418yes—
454C24×D4C2×D412yescomplemented
455C24×D4C2×D411yescharacteristic, complemented
456C24×D4C2×D414yescomplemented
457C24×D4C2×D414yescomplemented
458C24×D4C2×D412yescomplemented
459C24×D4C2×D412yescomplemented
460C24×D4C2×D414yescomplemented
461C24×D4C2×D414yescomplemented
462C24×D4C2×D418yescomplemented
463C24×D4C2×D418yescomplemented
464C24×D4C2×D412yescomplemented
465C24×D4C2×D418yescomplemented
466C24×D4C2×D4116yescomplemented
467C24×D4C2×D4116yescomplemented
468C24×D4C2411yescharacteristic
469C24×D4C2412yes—
470C24×D4C2414yes—
471C24×D4C2414yes—
472C24×D4C2418yes—
473C24×D4C24116yes—
474C24×D4C2418yes—
475C24×D4C2414yes—
476C24×D4C2418yes—
477C24×D4C2414yes—
478C24×D4C2412yes—
479C24×D4C24132yescomplemented
480C24×D4C24132yescomplemented
481C25×C4C2×D411yescharacteristic, complemented
482C25×C4C2×D412yescomplemented
483C25×C4C2411yescharacteristic
484C25×C4C2414yes—
485C25×C4C2414yes—
486#3505C24164yes—
487#3505C24132yes—
488#3501C24116yes—
489#3496C24116yes—
490#3496C24164yes—
491#3490C241128yes—
492#3490C24132yes—
493#3484C24164yes—
494#3484C241128yes—
495#3484C24132yes—
496#3484C24164yes—
497#3484C24164yes—
498C2×#546C2×D4164yescomplemented
499C2×#546C2×D41128yescomplemented
500C2×#546C24164yes—
501C2×D42C2×D4164yescomplemented
502C2×D42C2×D4132yescomplemented
503C2×D42C2×D4132yescomplemented
504C2×D42C2×D41128yescomplemented
505C2×D42C2×D4164yescomplemented
506C2×D42C2×D4164yescomplemented
507C2×D42C24132yes—
508C2×D42C24164yes—
509C2×D42C24132yes—
510#3459C24132yes—
511C2×#543C2414yes—
512C2×#535C2×D4164yescomplemented
513C2×#534C2×D41128yescomplemented
514C2×#534C2414yes—
515C2×#534C24116yes—
516C2×#534C2418yes—
517C2×#534C24164yes—
518C22×#127C2×D414yescomplemented
519C22×#127C2×D414yescomplemented
520C22×#127C2×D418yescomplemented
521C22×#127C2×D4116yescomplemented
522C22×#124C2×D418yescomplemented
523C2×#525C2×D4132yescomplemented
524C2×#525C24132yes—
525C22×#123C2×D418yescomplemented
526C22×#123C2×D4116yescomplemented
527C22×C22⋊Q8C2×D414yescomplemented
528C22×C22⋊Q8C2414yes—
529C22×#121C2×D418yescomplemented
530C22×#121C2×D418yescomplemented
531C22×#121C2×D414yescomplemented
532C22×#121C2×D414yescomplemented
533C22×#121C2×D414yescomplemented
534C22×#121C2×D414yescomplemented
535C22×#121C2×D4116yescomplemented
536C22×#121C2×D4116yescomplemented
537C22×#121C2×D418yescomplemented
538C22×#121C2×D418yescomplemented
539C22×#121C2×D418yescomplemented
540C22×#121C2×D4132yescomplemented
541C22×#121C2×D4116yescomplemented
542C22×#121C2414yes—
543C22×#121C2414yes—
544C22×#121C2418yes—
545C22×#120C2×D418yescomplemented
546C22×#120C2×D418yescomplemented
547C22×#120C2×D4116yescomplemented
548C22×#120C2×D418yescomplemented
549C22×#120C2×D4116yescomplemented
550C22×#120C2×D4116yescomplemented
551C22×#120C2×D4164yescomplemented
552C22×#120C2×D4116yescomplemented
553C22×#120C2×D4132yescomplemented
554C22×#120C24116yes—
555C22×#120C2418yes—
556C22×#120C2418yes—
557C22×#120C24164yes—
558C22×#120C24116yes—
559C22×#120C2418yes—
560C22×#120C2418yes—
561C22×#120C2418yes—
562C22×#120C24116yes—
563C22×#120C2414yes—
564C22×#120C2414yes—
565C22×#120C24132yes—
566C22×#120C2418yes—
567C22×#120C24132yescomplemented
568C22×#120C24164yescomplemented
569C4×H(5,𝔽2)C24132yes—
570C2×#518C2×D4132yescomplemented
571C2×#518C24132yes—
572C2×#518C2414yes—
573C2×#518C2418yes—
574C2×#518C2418yes—
575C22×C4×D4C2×D414yescomplemented
576C22×C4×D4C2×D414yescomplemented
577C22×C4×D4C2×D412yescomplemented
578C22×C4×D4C2×D412yescomplemented
579C22×C4×D4C2×D418yescomplemented
580C22×C4×D4C2×D418yescomplemented
581C22×C4×D4C2×D418yescomplemented
582C22×C4×D4C2×D418yescomplemented
583C22×C4×D4C2×D4116yescomplemented
584C22×C4×D4C2412yes—
585C22×C4×D4C2418yes—
586C22×C4×D4C2412yes—
587C22×C4×D4C2418yes—
588C22×#117C2×D414yescomplemented
589C23×C4⋊C4C2×D411yescharacteristic, complemented
590C23×C4⋊C4C2×D411yescharacteristic, complemented
591C23×C22⋊C4C2×D412yescomplemented
592C23×C22⋊C4C2×D411yescharacteristic, complemented
593C23×C22⋊C4C2×D418yescomplemented
594C23×C22⋊C4C2×D412yescomplemented
595C23×C22⋊C4C2×D412yescomplemented
596C23×C22⋊C4C2×D418yescomplemented
597C23×C22⋊C4C2411yescharacteristic
598C23×C22⋊C4C2418yes—
599C23×C22⋊C4C2414yes—
600C23×C22⋊C4C2414yes—
601C23×C22⋊C4C2418yes—
602C23×C22⋊C4C2418yes—
603C23×C22⋊C4C2412yes—
604C23×C22⋊C4C2414yes—
605C23×C22⋊C4C2412yes—
606C23×C22⋊C4C24132yescomplemented
607C23×C42C2×D411yescharacteristic, complemented
608C2×B(4,𝔽2)C24132yes—
609C2×B(4,𝔽2)C24164yes—
610C2×B(4,𝔽2)C24132yes—
611C2×B(4,𝔽2)C241128yescomplemented
612C2×B(4,𝔽2)C241128yescomplemented
613C22×#99C2411yescharacteristic
614C22×#99C2418yes—
615C22×#99C24116yes—
616C22×#99C2418yes—
617C22×#99C24132yes—
618C22×#99C24132yes—
619C22×#99C2412yes—
620C22×#99C2414yes—
621C22×#99C24116yes—
622C22×#99C2412yes—
623C22×#99C2418yes—
624C22×#99C2418yes—
625C22×#99C2414yes—
626C22×#99C24116yes—
627C22×#99C24116yes—
628C22×#99C2411yescharacteristic
629C22×#99C2418yes—
630C22×#99C2418yes—
631C22×#99C2412yes—
632C22×#99C2418yes—
633C22×#99C2418yes—
634C22×#99C24132yescomplemented
635C22×#99C24132yescomplemented
636C22×#99C24164yescomplemented
637C22×#99C24164yescomplemented
638C22×#99C24164yescomplemented
639#2849C24164yescomplemented
640#2849C241128yescomplemented
641#2848C24164yescomplemented
642#2847C24132yescomplemented
643#2847C24132yescomplemented
644#2847C24164yescomplemented
645#2846C241128yescomplemented
646#2846C24164yescomplemented
647#2436C24132yescomplemented
648#2436C24132yescomplemented
649#2435C24132yescomplemented
650#2434C24132yescomplemented
651#2433C24132yescomplemented
652#2433C24132yescomplemented
653#2410C241128yescomplemented
654#2410C24164yescomplemented
655#2410C241128yescomplemented
656#2410C241128yescomplemented
657#2410C24164yescomplemented
658#2410C24164yescomplemented
659#2410C24164yescomplemented
660#2409C24116yes—
661#2409C24116yescomplemented
662#2409C24164yescomplemented
663#2408C24116yes—
664#2408C24164yescomplemented
665#2408C24116yescomplemented
666#2405C241128yescomplemented
667#2405C24132yescomplemented
668#2403C24132yes—
669#2403C24164yes—
670#2403C24164yescomplemented
671#2403C24164yescomplemented
672#2403C241128yescomplemented
673D4×C22⋊C4C24164yescomplemented
674D4×C22⋊C4C24164yescomplemented
675D4×C22⋊C4C24132yescomplemented
676D4×C22⋊C4C24132yescomplemented
677C4×#120C24132yes—
678C4×#120C24132yescomplemented
679C4×#120C24164yescomplemented
680C4×#120C24164yescomplemented
681C2×#386C2418yes—
682C2×#386C2418yes—
683C2×#386C24116yes—
684C2×#386C2418yes—
685C2×#386C2414yes—
686C2×#386C2414yes—
687C2×#386C24132yes—
688C2×#386C2418yes—
689C2×#386C24132yescomplemented
690C2×#386C24164yescomplemented
691C2×#385C24116yes—
692C2×#385C2414yes—
693C2×#385C2414yes—
694C2×#385C2418yes—
695C2×#385C2418yes—
696C2×#385C24164yescomplemented
697#2280C24116yescomplemented
698C2×#380C2412yes—
699C2×#380C2412yes—
700C2×#380C2418yes—
701C2×#380C24116yescomplemented
702C2×#379C2414yes—
703C2×#379C2414yes—
704C2×#379C2418yes—
705C2×#379C24116yes—
706C2×#379C2418yes—
707C2×#379C24116yes—
708C2×#379C2414yes—
709C2×#379C2418yes—
710C2×#379C24132yescomplemented
711C2×#379C24164yescomplemented
712C2×#379C24132yescomplemented
713C2×C4×C22⋊C4C2414yes—
714C2×C4×C22⋊C4C2414yes—
715C2×C4×C22⋊C4C2414yes—
716C2×C4×C22⋊C4C24116yescomplemented
717#2062C24164yescomplemented
718#2062C24164yescomplemented
719#2044C241128yescomplemented
720#2044C24164yescomplemented
721#2044C24164yescomplemented
722#2044C24164yescomplemented
723#2044C24164yescomplemented
724#2044C241128yescomplemented
725#2044C241128yescomplemented
726#2044C241128yescomplemented
727#2044C241128yescomplemented
728#2029C24164yescomplemented
729#2029C24164yescomplemented
730#2021C24164yescomplemented
731#2021C24164yescomplemented
732#2021C24164yescomplemented
733#2021C241128yescomplemented
734#2021C241128yescomplemented
735#2021C241128yescomplemented
736#2021C241128yescomplemented
737#2021C24164yescomplemented
738#2021C241128yescomplemented
739#1996C24164yescomplemented
740#1996C24132yescomplemented
741#1996C24132yescomplemented
742#1964C24164yescomplemented
743#1964C24164yescomplemented
744#1964C24132yescomplemented
745#1964C24164yescomplemented
746#1964C24132yescomplemented
747#1898C241128yescomplemented
748#1898C241128yescomplemented
749#1898C241128yescomplemented
750#1898C24164yescomplemented
751#1898C24164yescomplemented
752#1898C241128yescomplemented
753#1898C241128yescomplemented
754#1898C241128yescomplemented
755#1898C241128yescomplemented
756#1889C24164yes—
757#1889C24132yes—
758#1889C24132yes—
759#1889C241128yescomplemented
760#1889C241128yescomplemented
761#1889C241128yescomplemented
762#1889C24164yescomplemented
763#1889C24164yescomplemented
764#1867C24164yes—
765#1867C24132yes—
766#1867C24132yes—
767#1867C24164yescomplemented
768#1867C241128yescomplemented
769#1867C241128yescomplemented
770#1867C241128yescomplemented
771#1867C24164yescomplemented
772#1819C241128yescomplemented
773#1799C24132yes—
774#1799C24132yescomplemented
775#1799C24164yescomplemented
776#1799C24164yescomplemented
777#1790C24132yes—
778#1790C24132yes—
779#1790C24164yes—
780#1790C241128yescomplemented
781#1790C241128yescomplemented
782#1781C24164yes—
783#1781C24164yescomplemented
784#1781C241128yescomplemented
785C4×#99C24116yes—
786C4×#99C24116yes—
787C4×#99C24132yescomplemented
788C4×#99C24164yescomplemented
789C4×#99C24164yescomplemented
790C2×#342C2414yes—
791C2×#342C2418yes—
792C2×#342C24116yes—
793C2×#342C2418yes—
794C2×#342C2418yes—
795C2×#342C2418yes—
796C2×#342C24116yes—
797C2×#342C2418yes—
798C2×#342C2414yes—
799C2×#342C24164yescomplemented
800C2×#342C24116yescomplemented
801C2×#342C24116yescomplemented
802C2×#342C24164yescomplemented
803C26C22×D412yes—
804C26C22×D412yes—
805C26C22×D414yes—
806C26C22×D414yes—
807C26C22×D418yes—
808C26C22×D418yes—
809C26C22×D414yes—
810C26C22×D4116yes—
811C26C22×D411yescharacteristic
812C26C22×D412yes—
813C26C22×D418yes—
814C26C22×D414yes—
815C26C22×D414yes—
816C26C22×D4116yescomplemented
817C26C2514yes—
818C26C2511yescharacteristic
819C26C2518yes—
820C26C2514yes—
821C26C25116yes—
822C2×H(5,𝔽2)C25116yes—
823C2×H(5,𝔽2)C25132yes—
824C22×#41C22×D4132yescomplemented
825C22×#41C22×D4164yescomplemented
826C23×Q8C22×D414yes—
827C23×Q8C2518yes—
828C23×D4#12011yescharacteristic
829C23×D4#12011yescharacteristic
830C23×D4#12012yes—
831C23×D4#12018yes—
832C23×D4#120116yes—
833C23×D4#12014yes—
834C23×D4#12018yes—
835C23×D4#120116yes—
836C23×D4#12018yes—
837C23×D4#120132yes—
838C23×D4#120132yes—
839C23×D4#120116yes—
840C23×D4#120164yes—
841C23×D4#12014yes—
842C23×D4#12018yes—
843C23×D4#12012yes—
844C23×D4#12014yes—
845C23×D4#120116yes—
846C23×D4#12018yes—
847C23×D4#12012yes—
848C23×D4#12014yes—
849C23×D4C22×D414yes—
850C23×D4C22×D418yes—
851C23×D4C22×D418yes—
852C23×D4C22×D4116yes—
853C23×D4C22×D418yes—
854C23×D4C22×D4116yes—
855C23×D4C22×D4116yes—
856C23×D4C22×D418yes—
857C23×D4C22×D414yes—
858C23×D4C22×D418yes—
859C23×D4C22×D4132yes—
860C23×D4C22×D4116yes—
861C23×D4C22×D4116yes—
862C23×D4C22×D4132yes—
863C23×D4C22×D4132yes—
864C23×D4C22×D4164yes—
865C23×D4C22×D411yescharacteristic
866C23×D4C22×D411yescharacteristic
867C23×D4C22×D414yes—
868C23×D4C22×D418yes—
869C23×D4C22×D414yes—
870C23×D4C22×D414yes—
871C23×D4C22×D414yes—
872C23×D4C22×D414yes—
873C23×D4C22×D418yes—
874C23×D4C22×D414yes—
875C23×D4C22×D414yes—
876C23×D4C22×D4116yes—
877C23×D4C22×D4116yes—
878C23×D4C22×D418yes—
879C23×D4C22×D4116yes—
880C23×D4C22×D414yes—
881C23×D4C22×D418yes—
882C23×D4C22×D418yes—
883C23×D4C22×D4116yes—
884C23×D4C22×D4116yes—
885C23×D4C22×D4132yes—
886C23×D4C22×D4116yescomplemented
887C23×D4C22×D418yescomplemented
888C23×D4C22×D4132yescomplemented
889C23×D4C22×D4132yescomplemented
890C23×D4C22×D4116yescomplemented
891C23×D4C22×D4116yescomplemented
892C23×D4C22×D4132yescomplemented
893C23×D4C22×D4132yescomplemented
894C23×D4C22×D4164yescomplemented
895C23×D4C22×D4164yescomplemented
896C23×D4C22×D4116yescomplemented
897C23×D4C22×D4164yescomplemented
898C23×D4C2511yescharacteristic
899C23×D4C2514yes—
900C23×D4C2511yescharacteristic
901C23×D4C2514yes—
902C23×D4C25116yes—
903C23×D4C2518yes—
904C23×D4C25116yes—
905C23×D4C2518yes—
906C23×D4C25132yes—
907C23×D4C25116yes—
908C23×D4C25132yes—
909C23×D4C25116yes—
910C23×D4C2518yes—
911C24×C4C22×D411yescharacteristic
912C24×C4C22×D412yes—
913C24×C4C22×D411yescharacteristic
914C24×C4C22×D412yes—
915C24×C4C22×D414yes—
916C24×C4C22×D414yes—
917C24×C4C22×D412yes—
918C24×C4C22×D418yes—
919C24×C4C22×D411yescharacteristic
920C24×C4C22×D411yescharacteristic
921C24×C4C22×D412yes—
922C24×C4C22×D412yes—
923C24×C4C22×D412yes—
924C24×C4C22×D414yes—
925C24×C4C22×D414yes—
926C24×C4C22×D411yescharacteristic
927C24×C4C22×D418yes—
928C24×C4C22×D418yes—
929C24×C4C22×D418yes—
930C24×C4C22×D418yes—
931C24×C4C22×D418yescomplemented
932C24×C4C22×D4116yescomplemented
933C24×C4C2512yes—
934C24×C4C2514yes—
935C24×C4C2514yes—
936C24×C4C25116yes—
937C24×C4C25116yes—
938#543C25116yes—
939#534C25132yes—
940#534C25164yes—
941#534C25116yes—
942C2×#127C22×D4132yescomplemented
943C2×#127C22×D4132yescomplemented
944C2×#127C22×D4164yescomplemented
945C2×#124C22×D4164yescomplemented
946C2×#123C22×D4164yescomplemented
947C2×#123C22×D41128yescomplemented
948C2×C22⋊Q8C22×D4116yes—
949C2×C22⋊Q8C22×D4132yescomplemented
950C2×C22⋊Q8C25116yes—
951C2×#121C22×D4116yes—
952C2×#121C22×D4116yes—
953C2×#121C22×D4132yescomplemented
954C2×#121C22×D4132yescomplemented
955C2×#121C22×D4164yescomplemented
956C2×#121C22×D4164yescomplemented
957C2×#121C22×D4132yescomplemented
958C2×#121C22×D4132yescomplemented
959C2×#121C22×D41128yescomplemented
960C2×#121C22×D41128yescomplemented
961C2×#121C22×D4164yescomplemented
962C2×#121C22×D4164yescomplemented
963C2×#121C25116yes—
964C2×#121C25116yes—
965C2×#120C22×D4132yes—
966C2×#120C22×D4132yes—
967C2×#120C22×D4164yes—
968C2×#120C22×D4164yescomplemented
969C2×#120C22×D4164yescomplemented
970C2×#120C22×D41128yescomplemented
971C2×#120C22×D4164yescomplemented
972C2×#120C22×D41128yescomplemented
973C2×#120C22×D41128yescomplemented
974C2×#120C25132yes—
975C2×#120C25164yes—
976C2×#120C25132yes—
977C2×#120C25132yes—
978C2×#120C25132yes—
979C2×#120C25132yes—
980C2×#120C25164yes—
981C2×#120C25116yes—
982C2×#120C25132yes—
983C2×#120C25116yes—
984#518C25116yes—
985#518C25132yes—
986#518C25132yes—
987C2×C4×D4C22×D418yes—
988C2×C4×D4C22×D418yes—
989C2×C4×D4C22×D4132yes—
990C2×C4×D4C22×D4132yescomplemented
991C2×C4×D4C22×D4132yescomplemented
992C2×C4×D4C22×D4116yescomplemented
993C2×C4×D4C22×D4116yescomplemented
994C2×C4×D4C22×D4164yescomplemented
995C2×C4×D4C22×D4164yescomplemented
996C2×C4×D4C22×D4164yescomplemented
997C2×C4×D4C2518yes—
998C2×C4×D4C2518yes—
999C2×C4×D4C25132yes—
1000C2×#117C22×D4132yescomplemented
1001C22×C4⋊C4C22×D414yes—
1002C22×C4⋊C4C22×D412yes—
1003C22×C4⋊C4C22×D412yes—
1004C22×C4⋊C4C22×D414yes—
1005C22×C4⋊C4C22×D414yes—
1006C22×C4⋊C4C22×D418yes—
1007C22×C4⋊C4C22×D418yes—
1008C22×C4⋊C4C22×D418yescomplemented
1009C22×C4⋊C4C22×D418yescomplemented
1010C22×C22⋊C4C22×D418yes—
1011C22×C22⋊C4C22×D418yes—
1012C22×C22⋊C4C22×D418yes—
1013C22×C22⋊C4C22×D4116yes—
1014C22×C22⋊C4C22×D412yes—
1015C22×C22⋊C4C22×D412yes—
1016C22×C22⋊C4C22×D418yes—
1017C22×C22⋊C4C22×D418yes—
1018C22×C22⋊C4C22×D4116yes—
1019C22×C22⋊C4C22×D414yes—
1020C22×C22⋊C4C22×D412yes—
1021C22×C22⋊C4C22×D4116yes—
1022C22×C22⋊C4C22×D4132yes—
1023C22×C22⋊C4C22×D418yes—
1024C22×C22⋊C4C22×D418yes—
1025C22×C22⋊C4C22×D4116yescomplemented
1026C22×C22⋊C4C22×D418yescomplemented
1027C22×C22⋊C4C22×D4164yescomplemented
1028C22×C22⋊C4C22×D4116yescomplemented
1029C22×C22⋊C4C22×D4116yescomplemented
1030C22×C22⋊C4C22×D4164yescomplemented
1031C22×C22⋊C4C25132yes—
1032C22×C22⋊C4C2518yes—
1033C22×C22⋊C4C2512yes—
1034C22×C22⋊C4C2514yes—
1035C22×C22⋊C4C2512yes—
1036C22×C22⋊C4C25132yes—
1037C22×C22⋊C4C25132yes—
1038C22×C22⋊C4C25116yes—
1039C22×C22⋊C4C25116yes—
1040C22×C22⋊C4C2512yes—
1041C22×C22⋊C4C2518yes—
1042C22×C22⋊C4C2514yes—
1043C22×C22⋊C4C2514yes—
1044C22×C22⋊C4C2514yes—
1045C22×C22⋊C4C2518yes—
1046C22×C22⋊C4C25116yes—
1047C22×C22⋊C4C2518yes—
1048C22×C42C22×D412yes—
1049C22×C42C22×D412yes—
1050C22×C42C22×D418yes—
1051C22×C42C22×D418yescomplemented
1052C2×#99H(5,𝔽2)18yescomplemented
1053C2×#99C2514yes—
1054C2×#99C25116yes—
1055C2×#99C25116yes—
1056C2×#99C25164yes—
1057C2×#99C25164yes—
1058C2×#99C2514yes—
1059C2×#99C2518yes—
1060C2×#99C25132yes—
1061C2×#99C25132yes—
1062C2×#99C2518yes—
1063C2×#99C2518yes—
1064C2×#99C25132yes—
1065C2×#99C25132yes—
1066C2×#99C25164yes—
1067C2×#99C25132yes—
1068C2×#99C25132yes—
1069#386C25132yes—
1070#386C25132yes—
1071#386C25164yes—
1072#386C25132yes—
1073#386C25116yes—
1074#386C25132yes—
1075#386C25116yes—
1076#385C25116yes—
1077#385C25116yes—
1078#385C25164yes—
1079#385C25132yes—
1080#385C25132yes—
1081#380C25132yes—
1082#380C2518yes—
1083#380C2518yes—
1084#379C25132yes—
1085#379C25164yes—
1086#379C25132yes—
1087#379C25116yes—
1088#379C25116yes—
1089#379C25164yes—
1090#379C25132yes—
1091#379C25116yes—
1092C4×C22⋊C4C25116yes—
1093C4×C22⋊C4C25116yes—
1094C4×C22⋊C4C25116yes—
1095#342C25132yes—
1096#342C25164yes—
1097#342C25164yes—
1098#342C25116yes—
1099#342C25132yes—
1100#342C25132yes—
1101#342C25132yes—
1102#342C25116yes—
1103#342C25132yes—
1104C25C2×#12018yes—
1105C25C2×#120132yes—
1106C25C2×#120116yes—
1107C25C2×#120116yes—
1108C25C2×#12018yes—
1109C25C2×#120116yes—
1110C25C2×#12014yes—
1111C25C2×#12018yes—
1112C25C2×#12014yes—
1113C25C2×#12018yes—
1114C25C2×#12012yes—
1115C25C2×#12014yes—
1116C25C2×#12012yes—
1117C25C23×D411yescharacteristic
1118C25C23×D418yes—
1119C25C23×D414yes—
1120C25C23×D414yes—
1121C25C23×D418yes—
1122C25C23×D4132yes—
1123C25C23×D4116yes—
1124C25C23×D4116yes—
1125C25C23×D412yes—
1126C25C23×D412yes—
1127C25C23×D418yes—
1128C25C23×D4116yes—
1129C25C23×D418yes—
1130C25C23×D412yes—
1131C25C23×D411yescharacteristic
1132C25C23×D414yes—
1133C25C23×D414yes—
1134C25C23×D4116yes—
1135C25C23×D4132yes—
1136C25C23×D418yes—
1137C25C23×D418yes—
1138C25C23×D414yes—
1139C25C23×D418yes—
1140C25C23×D4116yes—
1141C25C23×D4116yes—
1142C25C23×D411yescharacteristic
1143C25C23×D411yescharacteristic
1144C25C2611yescharacteristic
1145C25C2612yes—
1146C25C2618yes—
1147C25C2618yes—
1148C22×Q8C23×D4116yes—
1149C22×D4B(4,𝔽2)116yescomplemented
1150C22×D4C2×#12014yes—
1151C22×D4C2×#12018yes—
1152C22×D4C2×#12014yes—
1153C22×D4C2×#12018yes—
1154C22×D4C2×#12018yes—
1155C22×D4C2×#120116yes—
1156C22×D4C2×#120132yes—
1157C22×D4C2×#120116yes—
1158C22×D4C2×#120132yes—
1159C22×D4C2×#120164yes—
1160C22×D4C2×#120132yes—
1161C22×D4C2×#120164yes—
1162C22×D4C2×#120132yes—
1163C22×D4C2×#120164yes—
1164C22×D4C2×#120132yes—
1165C22×D4C2×#120116yes—
1166C22×D4C2×#120132yes—
1167C22×D4C2×#120116yes—
1168C22×D4C2×#1201128yes—
1169C22×D4C2×#120164yes—
1170C22×D4C2×#120116yes—
1171C22×D4C2×#120132yes—
1172C22×D4C2×#120116yes—
1173C22×D4C2×#12018yes—
1174C22×D4C2×#12018yes—
1175C22×D4C2×#120116yes—
1176C22×D4C23×D4116yes—
1177C22×D4C23×D4132yes—
1178C22×D4C23×D4132yes—
1179C22×D4C23×D4164yes—
1180C22×D4C23×D4132yes—
1181C22×D4C23×D4116yes—
1182C22×D4C23×D412yes—
1183C22×D4C23×D412yes—
1184C22×D4C23×D4116yes—
1185C22×D4C23×D414yes—
1186C22×D4C23×D414yes—
1187C22×D4C23×D4132yes—
1188C22×D4C23×D418yes—
1189C22×D4C23×D4132yes—
1190C22×D4C23×D4164yes—
1191C22×D4C23×D4132yes—
1192C22×D4C23×D4132yes—
1193C22×D4C23×D4164yes—
1194C22×D4C23×D4164yes—
1195C22×D4C23×D4116yes—
1196C22×D4C23×D4116yes—
1197C22×D4C23×D4116yes—
1198C22×D4C23×D4116yes—
1199C22×D4C23×D4116yes—
1200C22×D4C23×D4116yes—
1201C22×D4C23×D4116yes—
1202C22×D4C2×H(5,𝔽2)14yes—
1203C22×D4#58514yes—
1204C22×D4C2612yes—
1205C22×D4C2612yes—
1206C22×D4C26116yes—
1207C22×D4C2618yes—
1208C23×C4C2×#12011yescharacteristic
1209C23×C4C2×#12012yes—
1210C23×C4C2×#12014yes—
1211C23×C4C2×#12014yes—
1212C23×C4C2×#12018yes—
1213C23×C4C2×#12014yes—
1214C23×C4C2×#120116yes—
1215C23×C4C2×#12018yes—
1216C23×C4C2×#12018yes—
1217C23×C4C2×#12012yes—
1218C23×C4C2×#12014yes—
1219C23×C4C2×#12011yescharacteristic
1220C23×C4C2×#12012yes—
1221C23×C4C23×D412yes—
1222C23×C4C23×D414yes—
1223C23×C4C23×D414yes—
1224C23×C4C23×D412yes—
1225C23×C4C23×D414yes—
1226C23×C4C23×D414yes—
1227C23×C4C23×D418yes—
1228C23×C4C23×D414yes—
1229C23×C4C23×D418yes—
1230C23×C4C23×D418yes—
1231C23×C4C23×D4116yes—
1232C23×C4C23×D418yes—
1233C23×C4C23×D411yescharacteristic
1234C23×C4C23×D412yes—
1235C23×C4C23×D418yes—
1236C23×C4C23×D418yes—
1237C23×C4C23×D414yes—
1238C23×C4C23×D412yes—
1239C23×C4C23×D418yes—
1240C23×C4C23×D414yes—
1241C23×C4C23×D414yes—
1242C23×C4C23×D4132yes—
1243C23×C4C23×D4132yes—
1244C23×C4C23×D418yes—
1245C23×C4C23×D4132yes—
1246C23×C4C23×D411yescharacteristic
1247C23×C4C23×D414yes—
1248C23×C4C23×D418yes—
1249C23×C4C23×D418yes—
1250C23×C4C23×D4132yes—
1251C23×C4C23×D4116yes—
1252C23×C4C23×D4116yes—
1253C23×C4C2614yes—
1254C23×C4C2618yes—
1255C2×C4⋊C4C23×D418yes—
1256C2×C4⋊C4C23×D418yes—
1257C2×C4⋊C4C23×D4116yes—
1258C2×C4⋊C4C23×D4116yes—
1259C2×C4⋊C4C23×D4116yes—
1260C2×C4⋊C4C23×D4132yes—
1261C2×C4⋊C4C23×D4132yes—
1262C2×C22⋊C4C23×D4116yes—
1263C2×C22⋊C4C23×D414yes—
1264C2×C22⋊C4C23×D418yes—
1265C2×C22⋊C4C23×D4164yes—
1266C2×C22⋊C4C23×D4132yes—
1267C2×C22⋊C4C23×D4132yes—
1268C2×C22⋊C4C23×D418yes—
1269C2×C22⋊C4C23×D418yes—
1270C2×C22⋊C4C23×D4132yes—
1271C2×C22⋊C4C23×D4164yes—
1272C2×C22⋊C4C23×D4132yes—
1273C2×C22⋊C4C23×D4164yes—
1274C2×C22⋊C4C23×D4132yes—
1275C2×C22⋊C4C23×D4132yes—
1276C2×C22⋊C4C23×D4132yes—
1277C2×C22⋊C4C2×H(5,𝔽2)18yescomplemented
1278C2×C22⋊C4C2614yes—
1279C2×C22⋊C4C26116yes—
1280C2×C22⋊C4C2614yes—
1281C2×C22⋊C4C2614yes—
1282C2×C22⋊C4C26116yes—
1283C2×C22⋊C4C2618yes—
1284C2×C22⋊C4C2618yes—
1285C2×C22⋊C4C2618yes—
1286C2×C42C23×D4132yes—
1287C2×C42C23×D418yes—
1288C2×C42C23×D418yes—
1289#99C2×H(5,𝔽2)116yescomplemented
1290C24C2×B(4,𝔽2)116yescomplemented
1291C24C22×#12014yes—
1292C24C22×#12012yes—
1293C24C22×#12014yes—
1294C24C22×#12012yes—
1295C24C22×#120116yes—
1296C24C22×#12018yes—
1297C24C22×#120132yes—
1298C24C22×#120116yes—
1299C24C22×#12018yes—
1300C24C22×#120116yes—
1301C24C22×#120116yes—
1302C24C22×#120132yes—
1303C24C22×#120116yes—
1304C24C22×#12018yes—
1305C24C22×#12018yes—
1306C24C22×#12012yes—
1307C24C22×#12011yescharacteristic
1308C24C22×#12014yes—
1309C24C22×#12018yes—
1310C24C22×#12011yescharacteristic
1311C24C22×#12014yes—
1312C24#349614yescomplemented
1313C24C24×D412yes—
1314C24C24×D412yes—
1315C24C24×D411yescharacteristic
1316C24C24×D411yescharacteristic
1317C24C24×D412yes—
1318C24C24×D412yes—
1319C24C24×D4116yes—
1320C24C24×D418yes—
1321C24C24×D414yes—
1322C24C24×D414yes—
1323C24C24×D4116yes—
1324C24C24×D4116yes—
1325C24C24×D418yes—
1326C24C24×D412yes—
1327C24C24×D418yes—
1328C24C24×D412yes—
1329C24C22×H(5,𝔽2)12yes—
1330C24C2×#58512yes—
1331C24H(7,𝔽2)14yes—
1332C24C2711yescharacteristic
1333C2×D4C2×B(4,𝔽2)132yescomplemented
1334C2×D4C2×B(4,𝔽2)164yescomplemented
1335C2×D4C22×#120116yes—
1336C2×D4C22×#120116yes—
1337C2×D4C22×#120132yes—
1338C2×D4C22×#120132yes—
1339C2×D4C22×#120164yes—
1340C2×D4C22×#120164yes—
1341C2×D4C22×#120132yes—
1342C2×D4#349618yescomplemented
1343C2×D4C22×H(5,𝔽2)14yes—
1344C2×D4C2×#58514yes—
1345C22×C4C2×B(4,𝔽2)18yescomplemented
1346C22×C4C22×#12012yes—
1347C22×C4C22×#12014yes—
1348C22×C4C22×#12018yes—
1349C22×C4C22×#120116yes—
1350C22×C4C22×#12014yes—
1351C22×C4C22×#12018yes—
1352C22×C4C22×#12018yes—
1353C22×C4C22×#12014yes—
1354C22×C4C22×#12018yes—
1355C22×C4C22×#120116yes—
1356C22×C4C22×#12014yes—
1357C22×C4C22×#12018yes—
1358C22×C4C22×#12014yes—
1359C22×C4C22×#12012yes—
1360C22×C4#349614yescomplemented
1361C22×C4C24×D412yes—
1362C22×C4C24×D414yes—
1363C22×C4C24×D418yes—
1364C22×C4C24×D414yes—
1365C22×C4C24×D418yes—
1366C22×C4C24×D414yes—
1367C22×C4C24×D412yes—
1368C22×C4C24×D4116yes—
1369C22×C4C24×D4116yes—
1370C22×C4C24×D418yes—
1371C22×C4C24×D414yes—
1372C22×C4C24×D4116yes—
1373C22⋊C4C22×H(5,𝔽2)18yescomplemented
1374C23C22×B(4,𝔽2)14yes—
1375C23C22×B(4,𝔽2)116yes—
1376C23C22×B(4,𝔽2)132yescomplemented
1377C23C23×#12012yes—
1378C23C23×#12018yes—
1379C23C23×#12014yes—
1380C23C23×#12012yes—
1381C23C23×#12018yes—
1382C23C23×#120116yes—
1383C23C23×#12011yescharacteristic
1384C23C23×#12012yes—
1385C23C23×#12011yescharacteristic
1386C23C2×#349612yes—
1387C23C2×#349612yes—
1388C23C2×#349614yescomplemented
1389C23#6284212yes—
1390C23#6284212yes—
1391C23D4×H(5,𝔽2)14yes—
1392C23D4×H(5,𝔽2)14yes—
1393C23#6298714yes—
1394C23#6298714yes—
1395C23C25×D411yescharacteristic
1396C23C25×D412yes—
1397C23C23×H(5,𝔽2)11yescharacteristic
1398C23C22×#58511yescharacteristic
1399C23C2×H(7,𝔽2)12yes—
1400D4C22×B(4,𝔽2)164yescomplemented
1401C2×C4C22×B(4,𝔽2)18yes—
1402C2×C4C22×B(4,𝔽2)116yescomplemented
1403C2×C4C23×#12014yes—
1404C2×C4C23×#12014yes—
1405C2×C4C23×#12018yes—
1406C2×C4C2×#349614yescomplemented
1407C22#763128712yes—
1408C22#763128714yes—
1409C22#763128712yes—
1410C22C23×B(4,𝔽2)12yes—
1411C22C23×B(4,𝔽2)14yes—
1412C22C23×B(4,𝔽2)116yes—
1413C22#1057487312yes—
1414C22C24×#12011yescharacteristic
1415C22C22×#349611yescharacteristic
1416C22C2×#6284211yescharacteristic
1417C22C2×D4×H(5,𝔽2)12yes—
1418C22C2×#6298712yes—
1419C4C23×B(4,𝔽2)18yes—
1420C2C24×B(4,𝔽2)11yescharacteristic
1421C2C2×#1057487311yescharacteristic
1422C2#7225127414yesdirect product factor
1423C2C2×#763128711yescharacteristic
subgroupG/H
center, socleC23C23×#120
commutator, Frattini, cosocleC24C27
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C25×D4 ◁ G
LECSG ▷ C24 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#6454869C2semidirect
2. C2×#6542240C2semidirect
3. C2×#6513005C2semidirect
4. C2×#6491478C2semidirect
5. C2×#6596184C2semidirect
6. C2×#7631287C2semidirect
7. C22×D4×#99C2semidirect
8. C2×#6591500C2semidirect
9. #72251274C2direct (N × H)
10. C2×#6533135C2semidirect
11. C2×#6595772C2semidirect
12. C2×#6500010C2semidirect
13. C22×#24404C2semidirect
14. C2×D4×B(4,𝔽2)C2semidirect
15. C2×#6470225C2semidirect
16. C2×#6393523C2semidirect
17. C2×#10586472C2semidirect
18. C2×#7631286C2semidirect
19. C24×H(5,𝔽2)C22semidirect
20. #10586472C22semidirect
21. C2×#62892C22semidirect
22. C2×#62818C22semidirect
23. C2×#62817C22semidirect
24. C2×#62983C22semidirect
25. C2×D4×H(5,𝔽2)C22semidirect
26. C2×#62773C22semidirect
28. C22×#3484C22semidirect
30. C23×B(4,𝔽2)C22semidirect
31. C24×#99C22semidirect
32. #7631287C22semidirect
33. #7631286C22semidirect
34. C2×#36213C22semidirect
35. C2×#36212C22semidirect
36. C2×#36212C22semidirect
37. C2×#36212C22semidirect
38. C2×#36152C22semidirect
39. C2×D4×#120C22semidirect
40. C2×D4×#120C22semidirect
41. C2×D4×#120C22semidirect
42. C2×#35251C22semidirect
43. C2×#35250C22semidirect
44. C2×#34980C22semidirect
45. C2×#34980C22semidirect
46. C2×#34738C22semidirect
47. C2×#34736C22semidirect
48. C22×#2410C22semidirect
49. C22×#2403C22semidirect
50. C2×#34171C22semidirect
51. C22×D4×C22⋊C4C22semidirect
52. C2×#33020C22semidirect
53. C2×#32975C22semidirect
54. C2×#32926C22semidirect
55. C2×#32898C22semidirect
56. #6596184C22semidirect
57. #6595772C22semidirect
58. #6591500C22semidirect
59. D4×B(4,𝔽2)C22semidirect
60. #6542240C22semidirect
61. #6533135C22semidirect
62. #6513005C22semidirect
63. #6500010C22semidirect
64. #6491478C22semidirect
65. #6470225C22semidirect
66. #6454869C22semidirect
67. C2×#24112C22semidirect
68. C2×#25563C22semidirect
69. C2×#25563C22semidirect
70. C2×#25563C22semidirect
71. C2×#25563C22semidirect
72. C2×#23984C22semidirect
73. C2×#25663C22semidirect
74. C2×#25663C22semidirect
75. C2×#25585C22semidirect
76. C2×#25585C22semidirect
77. C2×#24140C22semidirect
78. C2×#24140C22semidirect
79. C2×#24140C22semidirect
80. C2×#25947C22semidirect
81. C2×#25899C22semidirect
82. C2×#25899C22semidirect
83. C2×#25852C22semidirect
84. C2×#24350C22semidirect
85. C2×#25771C22semidirect
86. C2×#25771C22semidirect
87. C2×#24260C22semidirect
88. C2×#24260C22semidirect
89. C2×#24260C22semidirect
90. C2×#24056C22semidirect
91. C2×#24056C22semidirect
92. C2×#24056C22semidirect
93. C2×#24404C22semidirect
94. C2×#24404C22semidirect
95. C2×#24404C22semidirect
96. C2×#24404C22semidirect
97. C2×#24404C22semidirect
98. C2×#24404C22semidirect
99. C2×#24404C22semidirect
100. C2×#24404C22semidirect
101. C2×#24404C22semidirect
102. C2×#24404C22semidirect
103. C2×#24404C22semidirect
104. C2×#23900C22semidirect
105. C2×#23900C22semidirect
106. C2×#23900C22semidirect
107. C2×#29709C22semidirect
108. C2×#29684C22semidirect
109. C2×#29634C22semidirect
110. C2×#23595C22semidirect
111. C22×#2044C22semidirect
112. C22×#2021C22semidirect
113. #6393523C22semidirect
114. C2×#22476C22semidirect
115. C2×#22476C22semidirect
116. C2×D4×#99C22semidirect
117. C2×D4×#99C22semidirect
118. C2×D4×#99C22semidirect
119. C2×D4×#99C22semidirect
120. C2×D4×#99C22semidirect
121. C2×D4×#99C22semidirect
122. C2×#21874C22semidirect
123. C2×#21746C22semidirect
124. C2×C4×B(4,𝔽2)C22semidirect
125. C2×C4×B(4,𝔽2)C22semidirect
126. C2×#21420C22semidirect
127. C22×#1964C22semidirect
128. C22×#1898C22semidirect
129. C22×#1898C22semidirect
130. C22×#1889C22semidirect
131. C22×#1867C22semidirect
132. C22×#1799C22semidirect
133. C22×#1790C22semidirect
134. C22×#1781C22semidirect
135. C22×C4×#99C22semidirect
136. C23×H(5,𝔽2)D4semidirect
138. C23×H(5,𝔽2)C23semidirect
139. C24×#41C23semidirect
140. C24×#41C23semidirect
141. C25×D4D4semidirect
144. C25×D4C23semidirect
145. C25×D4C23semidirect
146. #62983C23semidirect
147. D4×H(5,𝔽2)C23semidirect
148. #62892C23semidirect
149. #62818C23semidirect
150. #62817C23semidirect
151. #62773C23semidirect
159. C2×#3484D4semidirect
166. C2×#3484C23semidirect
167. C22×#546D4semidirect
169. C22×D42D4semidirect
170. C22×D42D4semidirect
171. C22×D42D4semidirect
172. C22×D42D4semidirect
177. C22×#535D4semidirect
179. C22×#534D4semidirect
181. C23×#127D4semidirect
183. C23×#121D4semidirect
184. C23×#121D4semidirect
186. C23×#120D4semidirect
190. C23×#120C23semidirect
191. C23×#120C23semidirect
193. C22×#518D4semidirect
195. C23×C4×D4D4semidirect
197. C24×C22⋊C4C23semidirect
201. C22×B(4,𝔽2)C23semidirect
202. C22×B(4,𝔽2)C23semidirect
203. C22×B(4,𝔽2)C23semidirect
209. C23×#99C23semidirect
210. C23×#99C23semidirect
211. C23×#99C23semidirect
212. C23×#99C23semidirect
213. C23×#99C23semidirect
214. C23×#99C23semidirect
215. C2×#2849C23semidirect
216. C2×#2849C23semidirect
217. C2×#2848C23semidirect
218. C2×#2847C23semidirect
219. C2×#2847C23semidirect
220. C2×#2847C23semidirect
221. C2×#2846C23semidirect
222. C2×#2846C23semidirect
223. #36213C23semidirect
224. #36212C23semidirect
225. #36212C23semidirect
226. #36212C23semidirect
227. #36152C23semidirect
228. D4×#120C23semidirect
229. D4×#120C23semidirect
230. D4×#120C23semidirect
231. #35251C23semidirect
232. #35250C23semidirect
233. #34980C23semidirect
234. #34980C23semidirect
235. #34738C23semidirect
236. #34736C23semidirect
237. C2×#2436C23semidirect
238. C2×#2436C23semidirect
239. C2×#2435C23semidirect
240. C2×#2434C23semidirect
242. C2×#2409C23semidirect
243. C2×#2409C23semidirect
244. C2×#2433C23semidirect
245. C2×#2433C23semidirect
247. C2×#2408C23semidirect
248. C2×#2408C23semidirect
249. C2×#2405C23semidirect
250. C2×#2405C23semidirect
251. C2×#2410C23semidirect
252. C2×#2410C23semidirect
253. C2×#2410C23semidirect
254. C2×#2410C23semidirect
255. C2×#2410C23semidirect
256. C2×#2410C23semidirect
257. C2×#2410C23semidirect
258. C2×#2410C23semidirect
261. C2×#2403C23semidirect
262. C2×#2403C23semidirect
263. C2×#2403C23semidirect
264. C2×#2403C23semidirect
265. #34171C23semidirect
266. C2×D4×C22⋊C4C23semidirect
267. C2×D4×C22⋊C4C23semidirect
268. C2×D4×C22⋊C4C23semidirect
269. C2×D4×C22⋊C4C23semidirect
270. C2×D4×C22⋊C4C23semidirect
272. C2×C4×#120C23semidirect
273. C2×C4×#120C23semidirect
274. C2×C4×#120C23semidirect
276. C22×#386C23semidirect
277. C22×#386C23semidirect
278. C22×#385C23semidirect
279. C2×#2280C23semidirect
280. C22×#380C23semidirect
281. C22×#379C23semidirect
282. C22×#379C23semidirect
283. C22×#379C23semidirect
284. C22×C4×C22⋊C4C23semidirect
285. #33020C23semidirect
286. #32975C23semidirect
287. #32926C23semidirect
288. #32898C23semidirect
289. #29709C23semidirect
290. #29684C23semidirect
291. #29634C23semidirect
292. #25947C23semidirect
293. #25899C23semidirect
294. #25899C23semidirect
295. #25852C23semidirect
296. #25771C23semidirect
297. #25771C23semidirect
298. #25663C23semidirect
299. #25663C23semidirect
300. #25585C23semidirect
301. #25585C23semidirect
302. #25563C23semidirect
303. #25563C23semidirect
304. #25563C23semidirect
305. #25563C23semidirect
306. #24404C23semidirect
307. #24404C23semidirect
308. #24404C23semidirect
309. #24404C23semidirect
310. #24404C23semidirect
311. #24404C23semidirect
312. #24404C23semidirect
313. #24404C23semidirect
314. #24404C23semidirect
315. #24404C23semidirect
316. #24350C23semidirect
317. #24260C23semidirect
318. #24260C23semidirect
319. #24260C23semidirect
320. #24140C23semidirect
321. #24140C23semidirect
322. #24140C23semidirect
323. #24112C23semidirect
324. #24056C23semidirect
325. #24056C23semidirect
326. #24056C23semidirect
327. #23984C23semidirect
328. #23900C23semidirect
329. #23900C23semidirect
330. #23900C23semidirect
331. #23595C23semidirect
332. C2×#2062C23semidirect
333. C2×#2062C23semidirect
334. C2×#2044C23semidirect
335. C2×#2044C23semidirect
336. C2×#2044C23semidirect
337. C2×#2044C23semidirect
338. C2×#2044C23semidirect
339. C2×#2044C23semidirect
340. C2×#2044C23semidirect
341. C2×#2044C23semidirect
342. C2×#2044C23semidirect
343. C2×#2044C23semidirect
344. C2×#2029C23semidirect
345. C2×#2029C23semidirect
346. C2×#2021C23semidirect
347. C2×#2021C23semidirect
348. C2×#2021C23semidirect
349. C2×#2021C23semidirect
350. C2×#2021C23semidirect
351. C2×#2021C23semidirect
352. C2×#2021C23semidirect
353. C2×#2021C23semidirect
354. C2×#2021C23semidirect
355. C2×#2021C23semidirect
356. #22476C23semidirect
357. #22476C23semidirect
358. D4×#99C23semidirect
359. D4×#99C23semidirect
360. D4×#99C23semidirect
361. D4×#99C23semidirect
362. D4×#99C23semidirect
363. #21874C23semidirect
364. #21746C23semidirect
365. C4×B(4,𝔽2)C23semidirect
366. C4×B(4,𝔽2)C23semidirect
367. #21420C23semidirect
368. C2×#1996C23semidirect
369. C2×#1996C23semidirect
370. C2×#1996C23semidirect
371. C2×#1964C23semidirect
372. C2×#1964C23semidirect
373. C2×#1964C23semidirect
374. C2×#1964C23semidirect
375. C2×#1964C23semidirect
376. C2×#1964C23semidirect
377. C2×#1898C23semidirect
378. C2×#1898C23semidirect
379. C2×#1898C23semidirect
380. C2×#1898C23semidirect
381. C2×#1898C23semidirect
382. C2×#1898C23semidirect
383. C2×#1898C23semidirect
384. C2×#1898C23semidirect
385. C2×#1898C23semidirect
386. C2×#1898C23semidirect
387. C2×#1898C23semidirect
391. C2×#1889C23semidirect
392. C2×#1889C23semidirect
393. C2×#1889C23semidirect
394. C2×#1889C23semidirect
395. C2×#1889C23semidirect
396. C2×#1889C23semidirect
400. C2×#1867C23semidirect
401. C2×#1867C23semidirect
402. C2×#1867C23semidirect
403. C2×#1867C23semidirect
404. C2×#1867C23semidirect
405. C2×#1867C23semidirect
406. C2×#1819C23semidirect
408. C2×#1799C23semidirect
409. C2×#1799C23semidirect
410. C2×#1799C23semidirect
411. C2×#1799C23semidirect
415. C2×#1790C23semidirect
416. C2×#1790C23semidirect
417. C2×#1790C23semidirect
419. C2×#1781C23semidirect
420. C2×#1781C23semidirect
421. C2×#1781C23semidirect
424. C2×C4×#99C23semidirect
425. C2×C4×#99C23semidirect
426. C2×C4×#99C23semidirect
427. C2×C4×#99C23semidirect
428. C22×#342C23semidirect
429. C22×#342C23semidirect
430. C22×#342C23semidirect
431. C22×#342C23semidirect
432. C27C2×D4semidirect
435. C22×H(5,𝔽2)C2×D4semidirect
439. C23×#41C2×D4semidirect
440. C23×#41C2×D4semidirect
441. C23×#41C24semidirect
442. C23×#41C24semidirect
454. C24×D4C2×D4semidirect
455. C24×D4C2×D4semidirect
456. C24×D4C2×D4semidirect
457. C24×D4C2×D4semidirect
458. C24×D4C2×D4semidirect
459. C24×D4C2×D4semidirect
460. C24×D4C2×D4semidirect
461. C24×D4C2×D4semidirect
462. C24×D4C2×D4semidirect
463. C24×D4C2×D4semidirect
464. C24×D4C2×D4semidirect
465. C24×D4C2×D4semidirect
466. C24×D4C2×D4semidirect
467. C24×D4C2×D4semidirect
479. C24×D4C24semidirect
480. C24×D4C24semidirect
481. C25×C4C2×D4semidirect
482. C25×C4C2×D4semidirect
498. C2×#546C2×D4semidirect
499. C2×#546C2×D4semidirect
501. C2×D42C2×D4semidirect
502. C2×D42C2×D4semidirect
503. C2×D42C2×D4semidirect
504. C2×D42C2×D4semidirect
505. C2×D42C2×D4semidirect
506. C2×D42C2×D4semidirect
512. C2×#535C2×D4semidirect
513. C2×#534C2×D4semidirect
518. C22×#127C2×D4semidirect
519. C22×#127C2×D4semidirect
520. C22×#127C2×D4semidirect
521. C22×#127C2×D4semidirect
522. C22×#124C2×D4semidirect
523. C2×#525C2×D4semidirect
525. C22×#123C2×D4semidirect
526. C22×#123C2×D4semidirect
527. C22×C22⋊Q8C2×D4semidirect
529. C22×#121C2×D4semidirect
530. C22×#121C2×D4semidirect
531. C22×#121C2×D4semidirect
532. C22×#121C2×D4semidirect
533. C22×#121C2×D4semidirect
534. C22×#121C2×D4semidirect
535. C22×#121C2×D4semidirect
536. C22×#121C2×D4semidirect
537. C22×#121C2×D4semidirect
538. C22×#121C2×D4semidirect
539. C22×#121C2×D4semidirect
540. C22×#121C2×D4semidirect
541. C22×#121C2×D4semidirect
545. C22×#120C2×D4semidirect
546. C22×#120C2×D4semidirect
547. C22×#120C2×D4semidirect
548. C22×#120C2×D4semidirect
549. C22×#120C2×D4semidirect
550. C22×#120C2×D4semidirect
551. C22×#120C2×D4semidirect
552. C22×#120C2×D4semidirect
553. C22×#120C2×D4semidirect
567. C22×#120C24semidirect
568. C22×#120C24semidirect
570. C2×#518C2×D4semidirect
575. C22×C4×D4C2×D4semidirect
576. C22×C4×D4C2×D4semidirect
577. C22×C4×D4C2×D4semidirect
578. C22×C4×D4C2×D4semidirect
579. C22×C4×D4C2×D4semidirect
580. C22×C4×D4C2×D4semidirect
581. C22×C4×D4C2×D4semidirect
582. C22×C4×D4C2×D4semidirect
583. C22×C4×D4C2×D4semidirect
588. C22×#117C2×D4semidirect
589. C23×C4⋊C4C2×D4semidirect
590. C23×C4⋊C4C2×D4semidirect
591. C23×C22⋊C4C2×D4semidirect
592. C23×C22⋊C4C2×D4semidirect
593. C23×C22⋊C4C2×D4semidirect
594. C23×C22⋊C4C2×D4semidirect
595. C23×C22⋊C4C2×D4semidirect
596. C23×C22⋊C4C2×D4semidirect
606. C23×C22⋊C4C24semidirect
607. C23×C42C2×D4semidirect
611. C2×B(4,𝔽2)C24semidirect
612. C2×B(4,𝔽2)C24semidirect
634. C22×#99C24semidirect
635. C22×#99C24semidirect
636. C22×#99C24semidirect
637. C22×#99C24semidirect
638. C22×#99C24semidirect
639. #2849C24semidirect
640. #2849C24semidirect
641. #2848C24semidirect
642. #2847C24semidirect
643. #2847C24semidirect
644. #2847C24semidirect
645. #2846C24semidirect
646. #2846C24semidirect
647. #2436C24semidirect
648. #2436C24semidirect
649. #2435C24semidirect
650. #2434C24semidirect
651. #2433C24semidirect
652. #2433C24semidirect
653. #2410C24semidirect
654. #2410C24semidirect
655. #2410C24semidirect
656. #2410C24semidirect
657. #2410C24semidirect
658. #2410C24semidirect
659. #2410C24semidirect
661. #2409C24semidirect
662. #2409C24semidirect
664. #2408C24semidirect
665. #2408C24semidirect
666. #2405C24semidirect
667. #2405C24semidirect
670. #2403C24semidirect
671. #2403C24semidirect
672. #2403C24semidirect
673. D4×C22⋊C4C24semidirect
674. D4×C22⋊C4C24semidirect
675. D4×C22⋊C4C24semidirect
676. D4×C22⋊C4C24semidirect
678. C4×#120C24semidirect
679. C4×#120C24semidirect
680. C4×#120C24semidirect
689. C2×#386C24semidirect
690. C2×#386C24semidirect
696. C2×#385C24semidirect
697. #2280C24semidirect
701. C2×#380C24semidirect
710. C2×#379C24semidirect
711. C2×#379C24semidirect
712. C2×#379C24semidirect
716. C2×C4×C22⋊C4C24semidirect
717. #2062C24semidirect
718. #2062C24semidirect
719. #2044C24semidirect
720. #2044C24semidirect
721. #2044C24semidirect
722. #2044C24semidirect
723. #2044C24semidirect
724. #2044C24semidirect
725. #2044C24semidirect
726. #2044C24semidirect
727. #2044C24semidirect
728. #2029C24semidirect
729. #2029C24semidirect
730. #2021C24semidirect
731. #2021C24semidirect
732. #2021C24semidirect
733. #2021C24semidirect
734. #2021C24semidirect
735. #2021C24semidirect
736. #2021C24semidirect
737. #2021C24semidirect
738. #2021C24semidirect
739. #1996C24semidirect
740. #1996C24semidirect
741. #1996C24semidirect
742. #1964C24semidirect
743. #1964C24semidirect
744. #1964C24semidirect
745. #1964C24semidirect
746. #1964C24semidirect
747. #1898C24semidirect
748. #1898C24semidirect
749. #1898C24semidirect
750. #1898C24semidirect
751. #1898C24semidirect
752. #1898C24semidirect
753. #1898C24semidirect
754. #1898C24semidirect
755. #1898C24semidirect
759. #1889C24semidirect
760. #1889C24semidirect
761. #1889C24semidirect
762. #1889C24semidirect
763. #1889C24semidirect
767. #1867C24semidirect
768. #1867C24semidirect
769. #1867C24semidirect
770. #1867C24semidirect
771. #1867C24semidirect
772. #1819C24semidirect
774. #1799C24semidirect
775. #1799C24semidirect
776. #1799C24semidirect
780. #1790C24semidirect
781. #1790C24semidirect
783. #1781C24semidirect
784. #1781C24semidirect
787. C4×#99C24semidirect
788. C4×#99C24semidirect
789. C4×#99C24semidirect
799. C2×#342C24semidirect
800. C2×#342C24semidirect
801. C2×#342C24semidirect
802. C2×#342C24semidirect
816. C26C22×D4semidirect
824. C22×#41C22×D4semidirect
825. C22×#41C22×D4semidirect
886. C23×D4C22×D4semidirect
887. C23×D4C22×D4semidirect
888. C23×D4C22×D4semidirect
889. C23×D4C22×D4semidirect
890. C23×D4C22×D4semidirect
891. C23×D4C22×D4semidirect
892. C23×D4C22×D4semidirect
893. C23×D4C22×D4semidirect
894. C23×D4C22×D4semidirect
895. C23×D4C22×D4semidirect
896. C23×D4C22×D4semidirect
897. C23×D4C22×D4semidirect
931. C24×C4C22×D4semidirect
932. C24×C4C22×D4semidirect
942. C2×#127C22×D4semidirect
943. C2×#127C22×D4semidirect
944. C2×#127C22×D4semidirect
945. C2×#124C22×D4semidirect
946. C2×#123C22×D4semidirect
947. C2×#123C22×D4semidirect
949. C2×C22⋊Q8C22×D4semidirect
953. C2×#121C22×D4semidirect
954. C2×#121C22×D4semidirect
955. C2×#121C22×D4semidirect
956. C2×#121C22×D4semidirect
957. C2×#121C22×D4semidirect
958. C2×#121C22×D4semidirect
959. C2×#121C22×D4semidirect
960. C2×#121C22×D4semidirect
961. C2×#121C22×D4semidirect
962. C2×#121C22×D4semidirect
968. C2×#120C22×D4semidirect
969. C2×#120C22×D4semidirect
970. C2×#120C22×D4semidirect
971. C2×#120C22×D4semidirect
972. C2×#120C22×D4semidirect
973. C2×#120C22×D4semidirect
990. C2×C4×D4C22×D4semidirect
991. C2×C4×D4C22×D4semidirect
992. C2×C4×D4C22×D4semidirect
993. C2×C4×D4C22×D4semidirect
994. C2×C4×D4C22×D4semidirect
995. C2×C4×D4C22×D4semidirect
996. C2×C4×D4C22×D4semidirect
1000. C2×#117C22×D4semidirect
1008. C22×C4⋊C4C22×D4semidirect
1009. C22×C4⋊C4C22×D4semidirect
1025. C22×C22⋊C4C22×D4semidirect
1026. C22×C22⋊C4C22×D4semidirect
1027. C22×C22⋊C4C22×D4semidirect
1028. C22×C22⋊C4C22×D4semidirect
1029. C22×C22⋊C4C22×D4semidirect
1030. C22×C22⋊C4C22×D4semidirect
1051. C22×C42C22×D4semidirect
1052. C2×#99H(5,𝔽2)semidirect
1149. C22×D4B(4,𝔽2)semidirect
1277. C2×C22⋊C4C2×H(5,𝔽2)semidirect
1289. #99C2×H(5,𝔽2)semidirect
1290. C24C2×B(4,𝔽2)semidirect
1312. C24#3496semidirect
1333. C2×D4C2×B(4,𝔽2)semidirect
1334. C2×D4C2×B(4,𝔽2)semidirect
1342. C2×D4#3496semidirect
1345. C22×C4C2×B(4,𝔽2)semidirect
1360. C22×C4#3496semidirect
1373. C22⋊C4C22×H(5,𝔽2)semidirect
1376. C23C22×B(4,𝔽2)semidirect
1388. C23C2×#3496semidirect
1400. D4C22×B(4,𝔽2)semidirect
1402. C2×C4C22×B(4,𝔽2)semidirect
1406. C2×C4C2×#3496semidirect
1422. C2#72251274direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#64548692
C2×#65422402
C2×#65130052
C2×#64914782
C2×#65961842
C2×#76312872
C22×D4×#992
C2×#65915002
#722512742
C2×#65331352
C2×#65957722
C2×#65000102
C22×#244042
C2×D4×B(4,𝔽2)2
C2×#64702252
C2×#63935232
C2×#105864722
C2×#76312862