Finite Group Databasebeta

← #31741898

Subgroups — #31741898

Order 17152.

2282 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574425C211yesmaximal, characteristic, complemented
2#22573839C211yesmaximal, characteristic, complemented
3#22572297C211yesmaximal, characteristic, complemented
4#22572283C211yesmaximal, characteristic, complemented
5#22572176C211yesmaximal, characteristic, complemented
6#22572170C211yesmaximal, characteristic, complemented
7#22572035C211yesmaximal, characteristic, complemented
8#22572028C211yesmaximal, characteristic, complemented
9#22572023C211yesmaximal, characteristic, complemented
10#22572015C211yesmaximal, characteristic, complemented
11#22571909C211yesmaximal, characteristic, complemented
12#22571893C211yesmaximal, characteristic, complemented
13#22571888C211yesmaximal, characteristic, complemented
14#22571705C211yesmaximal, characteristic, complemented
15#22571704C211yesmaximal, characteristic, complemented
16#22571695C211yesmaximal, characteristic, complemented
17#22571692C211yesmaximal, characteristic, complemented
18#22571310C211yesmaximal, characteristic, complemented
19#22571296C211yesmaximal, characteristic, complemented
20#22571064C211yesmaximal, characteristic, complemented
21#22571058C211yesmaximal, characteristic, complemented
22#22570993C211yesmaximal, characteristic, complemented
23#22570975C211yesmaximal, characteristic, complemented
24#22570399C211yesmaximal, characteristic, complemented
25#22570390C211yesmaximal, characteristic, complemented
26#22569517C211yesmaximal, characteristic, complemented
27#22569509C211yesmaximal, characteristic, complemented
28C2×#16863545C211yesmaximal, characteristic, complemented
29#447×D67C211yesmaximal, characteristic, complemented
30#22569262C211yesmaximal, characteristic, complemented
31C67×#3282C211yesmaximal, characteristic, complemented
32C2×#14524089C2211yescharacteristic, complemented
33C22×D4×D67C2211yescharacteristic
34C2×#14524070C2211yescharacteristic, complemented
35C2×#14524068C2211yescharacteristic, complemented
36C2×#14524066C2211yescharacteristic, complemented
37C22×#11761615C2211yescharacteristic, complemented
38C2×D8×D67C2211yescharacteristic, complemented
39C2×D8×D67C2211yescharacteristic, complemented
40#16864142—21no—
41#16864140—21no—
42#16864106C2211yescharacteristic, complemented
43#16864104C2211yescharacteristic, complemented
44#16864057C2211yescharacteristic, complemented
45#16864050C2211yescharacteristic, complemented
46#16864046C2211yescharacteristic, complemented
47#16864041—21no—
48#16864039C2211yescharacteristic
49#16864039C2211yescharacteristic, complemented
50#16864038—21no—
51#16864037C2211yescharacteristic, complemented
52#16864036—21no—
53#16864035—21no—
54#16864034C2211yescharacteristic
55#16864034C2211yescharacteristic, complemented
56D4×D268C2211yescharacteristic
57D4×D268C2211yescharacteristic, complemented
58#16864030—21no—
59#16864030C2211yescharacteristic
60D4×C22⋊D67C2211yescharacteristic, complemented
61#16864028—21no—
62#16864021—21no—
63#16864018C2211yescharacteristic, complemented
64#16864015C2211yescharacteristic, complemented
65#16863988—21no—
66#16863980—21no—
67#16863976C2211yescharacteristic, complemented
68#16863974C2211yescharacteristic, complemented
69#16863973—21no—
70#16863964C2211yescharacteristic, complemented
71#16863962C2211yescharacteristic, complemented
72#16863957—21no—
73#16863954—21no—
74#16863909C2211yescharacteristic
75#16863905C2211yescharacteristic
76C2×#14524019C2211yescharacteristic, complemented
77#121×D67C2211yescharacteristic, complemented
78C2×#14524013—21no—
79#120×D67—21no—
80#16863868C2211yescharacteristic, complemented
81#16863786C2211yescharacteristic, complemented
82#16863782C2211yescharacteristic, complemented
83#16863781C2211yescharacteristic, complemented
84#16863757C2211yescharacteristic, complemented
85#16863755C2211yescharacteristic, complemented
86#16863743C2211yescharacteristic, complemented
87#16863741C2211yescharacteristic, complemented
88#16863736C2211yescharacteristic, complemented
89#16863736C2211yescharacteristic, complemented
90#16863730C2211yescharacteristic, complemented
91#16863724C2211yescharacteristic, complemented
92#16863722C2211yescharacteristic, complemented
93#16863718C2211yescharacteristic, complemented
94#16863716C2211yescharacteristic, complemented
95#16863716C2211yescharacteristic, complemented
96#16863712C2211yescharacteristic, complemented
97#16863710C2211yescharacteristic, complemented
98#16863710C2211yescharacteristic, complemented
99#16863708C2211yescharacteristic, complemented
100#16863686C2211yescharacteristic, complemented
101#16863685C2211yescharacteristic, complemented
102#16863677C2211yescharacteristic, complemented
103#16863674C2211yescharacteristic, complemented
104#16863648C2211yescharacteristic, complemented
105#16863647C2211yescharacteristic, complemented
106#16863644C2211yescharacteristic, complemented
107#16863639C2211yescharacteristic, complemented
108#16863634C2211yescharacteristic, complemented
109#16863634C2211yescharacteristic, complemented
110#16863632C2211yescharacteristic, complemented
111#16863632C2211yescharacteristic, complemented
112#16863630C2211yescharacteristic, complemented
113#16863629C2211yescharacteristic, complemented
114#16863628C2211yescharacteristic, complemented
115#16863628C2211yescharacteristic, complemented
116#16863628C2211yescharacteristic, complemented
117#16863627C2211yescharacteristic, complemented
118#16863620C2211yescharacteristic, complemented
119#16863614C2211yescharacteristic, complemented
120#16863613C2211yescharacteristic, complemented
121#16863613C2211yescharacteristic, complemented
122#16863608C2211yescharacteristic, complemented
123#16863608C2211yescharacteristic, complemented
124#16863596C2211yescharacteristic, complemented
125#16863594C2211yescharacteristic, complemented
126#16863592C2211yescharacteristic, complemented
127#16863589C2211yescharacteristic, complemented
128#16863557C2211yescharacteristic, complemented
129#16863557C2211yescharacteristic, complemented
130#16863557C2211yescharacteristic, complemented
131#16863546C2211yescharacteristic, complemented
132#16863545C2211yescharacteristic, complemented
133#16863545C2211yescharacteristic, complemented
134#16863545C2211yescharacteristic, complemented
135#16863545C2211yescharacteristic, complemented
136#16863545C2211yescharacteristic, complemented
137#16863545C2211yescharacteristic, complemented
138#16863545C2211yescharacteristic, complemented
139#16863545C2211yescharacteristic, complemented
140#16863545C2211yescharacteristic, complemented
141#16863545C2211yescharacteristic, complemented
142#16863544C2211yescharacteristic, complemented
143#16863544C2211yescharacteristic, complemented
144#16863541C2211yescharacteristic, complemented
145#16863541C2211yescharacteristic, complemented
146#16863540C2211yescharacteristic, complemented
147#16863540C2211yescharacteristic, complemented
148#16863540C2211yescharacteristic, complemented
149#16863535C2211yescharacteristic, complemented
150#16863532C2211yescharacteristic, complemented
151#16863532C2211yescharacteristic, complemented
152#16863531C2211yescharacteristic
153#16863531C2211yescharacteristic, complemented
154#16863531C2211yescharacteristic, complemented
155#16863530C2211yescharacteristic, complemented
156#16863529C2211yescharacteristic, complemented
157#16863528C2211yescharacteristic
158#16863528C2211yescharacteristic, complemented
159#16863528C2211yescharacteristic, complemented
160#16863506C2211yescharacteristic, complemented
161#16863505C2211yescharacteristic, complemented
162#16863497C2211yescharacteristic, complemented
163#16863494C2211yescharacteristic, complemented
164#16863481C2211yescharacteristic, complemented
165C4×D536C2211yescharacteristic, complemented
166D8×Dic67C2211yescharacteristic, complemented
167#16863470C2211yescharacteristic, complemented
168#16863468C2211yescharacteristic, complemented
169#16863467C2211yescharacteristic, complemented
170#16863466C2211yescharacteristic, complemented
171C8×D268C2211yescharacteristic, complemented
172C8×C22⋊D67C2211yescharacteristic, complemented
173(C22⋊D67)⋊C8C2211yescharacteristic, complemented
174#16863456C2211yescharacteristic, complemented
175#16863455C2211yescharacteristic, complemented
176#16863397C2211yescharacteristic, complemented
177#16863396C2211yescharacteristic, complemented
178C2×#14523965C2211yescharacteristic, complemented
179C2×#14523965C2211yescharacteristic, complemented
180C2×#14523964C2211yescharacteristic, complemented
181#102×D67C2211yescharacteristic, complemented
182#102×D67C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184#16863362C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186C2×(C2×D67)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D67C2211yescharacteristic, complemented
188C2×#135×C67C2211yescharacteristic, complemented
189C22×SD16×C67C2211yescharacteristic, complemented
190#548×C67C2211yescharacteristic, complemented
191#546×C67C2211yescharacteristic, complemented
192#495×C67C2211yescharacteristic, complemented
193#465×C67C2211yescharacteristic, complemented
194#465×C67C2211yescharacteristic, complemented
195#464×C67C2211yescharacteristic, complemented
196#463×C67C2211yescharacteristic, complemented
197#452×C67C2211yescharacteristic, complemented
198#451×C67C2211yescharacteristic, complemented
199#449×C67C2211yescharacteristic, complemented
200#447×C67C2211yescharacteristic, complemented
201C4×SD16×C67C2211yescharacteristic, complemented
202C8×D4×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524089—42no—
205#14524089—42no—
206C2×#11761629C2311yescharacteristic
207C2×#11761629C2311yescharacteristic
208C2×#11761629C2311yescharacteristic, complemented
209C2×#11761628—21no—
210C2×#11761628C2311yescharacteristic
211C2×#11761627—21no—
212C2×#11761627—21no—
213C22×D268—21no—
214C22×D268—21no—
215C22×D268C2311yescharacteristic
216C22×D268C2311yescharacteristic
217C22×C22⋊D67—21no—
218C22×C22⋊D67—21no—
219C2×D4×D67—21no—
220C2×D4×D67—21no—
221C2×D4×D67—21no—
222C2×D4×D67—21no—
223C2×D4×D67—21no—
224C2×D4×D67—21no—
225C2×D4×D67—21no—
226C2×D4×D67—42no—
227C2×D4×D67—42no—
228C2×D4×D67C2311yescharacteristic
229C2×D4×D67C2311yescharacteristic
230C2×D4×D67C2311yescharacteristic
231C2×D4×D67C2311yescharacteristic
232C2×D4×D67C2311yescharacteristic
233C2×D4×D67C2311yescharacteristic
234C22×C4×D67C2311yescharacteristic
235#14524070—42no—
236#14524068—42no—
237#14524066—42no—
238C2×#11761615—42no—
239C2×#11761615C2311yescharacteristic
240C2×#11761615C2311yescharacteristic
241C2×#11761615C2311yescharacteristic
242C2×#11761615C2311yescharacteristic
243C2×#11761615C2311yescharacteristic, complemented
244C2×#11761615C2311yescharacteristic, complemented
245C2×#11761615C2311yescharacteristic, complemented
246C2×D536C2311yescharacteristic
247C2×D536C2311yescharacteristic
248C2×D536C2311yescharacteristic, complemented
249C2×#11761613C2311yescharacteristic
250C2×#11761613C2311yescharacteristic
251C2×#11761613C2311yescharacteristic
252C2×#11761613C2311yescharacteristic
253C2×#11761613C2311yescharacteristic, complemented
254D8×D67—42no—
255D8×D67—42no—
256C2×#11761612C2311yescharacteristic, complemented
257C2×#11761611C2311yescharacteristic, complemented
258C22×C67⋊C8C2311yescharacteristic
259C2×C8×D67C2311yescharacteristic
260C2×C8×D67C2311yescharacteristic
261C2×C8×D67C2311yescharacteristic, complemented
262#14524043C2311yescharacteristic, complemented
263#14524042C2311yescharacteristic, complemented
264#14524040C2311yescharacteristic
265#14524039—21no—
266#14524039C2311yescharacteristic
267#14524037—21no—
268#14524036—21no—
269#14524035—21no—
270#14524033—21no—
271#14524032—21no—
272#14524032C2311yescharacteristic
273#14524032C2311yescharacteristic, complemented
274#14524031—21no—
275#14524029—21no—
276#14524029—21no—
277#14524028—21no—
278#14524028—21no—
279#14524028—21no—
280#14524028D411yescharacteristic
281#14524027—21no—
282#14524027—21no—
283#14524027—21no—
284#14524026—21no—
285#14524026—21no—
286#14524025—21no—
287#14524025—21no—
288#14524025—21no—
289#14524025D411yescharacteristic
290#14524024—21no—
291#14524023—21no—
292#14524023—21no—
293#14524022—21no—
294#14524021—21no—
295#14524021—21no—
296#14524021—21no—
297#14524021—21no—
298#14524021D411yescharacteristic
299#14524020—21no—
300#14524020—21no—
301#14524020—21no—
302#14524020D411yescharacteristic
303#14524019—21no—
304#14524019—21no—
305#14524019—21no—
306#14524019C2311yescharacteristic
307#14524019C2311yescharacteristic
308#14524019C2311yescharacteristic
309#14524019C2311yescharacteristic
310#14524019C2311yescharacteristic
311#14524019C2311yescharacteristic, complemented
312#14524018—21no—
313#14524018—21no—
314#14524018—21no—
315#14524018C2311yescharacteristic
316#14524018C2311yescharacteristic
317#14524018C2311yescharacteristic
318#14524017—21no—
319#14524017—21no—
320#14524017—21no—
321#14524017C2311yescharacteristic
322#14524017C2311yescharacteristic
323#14524017C2311yescharacteristic
324#14524017C2311yescharacteristic, complemented
325#14524016—21no—
326#14524016—21no—
327#14524016—21no—
328#14524016—21no—
329#14524016—21no—
330#14524016—21no—
331#14524016—21no—
332#14524016—21no—
333#14524016D411yescharacteristic
334#14524015—21no—
335#14524015—21no—
336#14524015—21no—
337#14524015—21no—
338#14524015—21no—
339#14524015—21no—
340#14524015D411yescharacteristic
341#14524014C2311yescharacteristic
342#14524014C2311yescharacteristic
343#14524014C2311yescharacteristic, complemented
344#14524013—21no—
345#14524013—21no—
346#14524013—21no—
347#14524013—21no—
348#14524013—21no—
349#14524013—21no—
350#14524013—21no—
351#14524013—21no—
352#14524013—21no—
353#14524013—21no—
354#14524013—21no—
355#14524013—21no—
356#14524013D411yescharacteristic
357#14524012—21no—
358#14524011—21no—
359#14524011—21no—
360#14524011—21no—
361#14524011—21no—
362#14524011—21no—
363#14524011D411yescharacteristic
364Q8×Dic67C2311yescharacteristic, complemented
365C4×D268—21no—
366C4×D268C2311yescharacteristic
367C4×D268C2311yescharacteristic
368C4×D268C2311yescharacteristic, complemented
369D4×Dic67C2311yescharacteristic
370D4×Dic67C2311yescharacteristic, complemented
371#14524005—21no—
372#14524005C2311yescharacteristic
373C4×C22⋊D67—21no—
374C4×C22⋊D67—21no—
375C4×C22⋊D67C2311yescharacteristic
376C4×C22⋊D67C2311yescharacteristic
377(C22⋊D67)⋊C4—21no—
378(C22⋊D67)⋊C4—21no—
379(C22⋊D67)⋊C4—21no—
380#14524001C2311yescharacteristic
381#14524000C2311yescharacteristic
382C2×C4⋊Dic67C2311yescharacteristic
383C2×C4⋊Dic67C2311yescharacteristic, complemented
384C2×Dic67⋊C4—21no—
385C4⋊C4×D67C2311yescharacteristic
386C4⋊C4×D67C2311yescharacteristic, complemented
387C2×(C2×D67)⋊C4—21no—
388C2×(C2×D67)⋊C4—21no—
389C2×(C2×D67)⋊C4—21no—
390C2×(C2×D67)⋊C4—21no—
391C22⋊C4×D67—21no—
392C22⋊C4×D67—21no—
393C22⋊C4×D67—21no—
394C22⋊C4×D67—21no—
395C22⋊C4×D67—21no—
396#14523977C2311yescharacteristic, complemented
397#14523977C2311yescharacteristic, complemented
398#14523977C2311yescharacteristic, complemented
399#14523976C2311yescharacteristic, complemented
400#14523974C2311yescharacteristic, complemented
401#14523974C2311yescharacteristic, complemented
402#14523974C2311yescharacteristic, complemented
403C4⋊(C67⋊C8)C2311yescharacteristic, complemented
404Dic67⋊C8C2311yescharacteristic, complemented
405Dic67⋊C8C2311yescharacteristic, complemented
406#14523967C2311yescharacteristic, complemented
407#14523967C2311yescharacteristic, complemented
408#14523967C2311yescharacteristic, complemented
409#14523967C2311yescharacteristic, complemented
410#14523967C2311yescharacteristic, complemented
411#14523965C2311yescharacteristic
412#14523965C2311yescharacteristic
413#14523965C2311yescharacteristic
414#14523965C2311yescharacteristic
415#14523965C2311yescharacteristic
416#14523965C2311yescharacteristic
417#14523965C2311yescharacteristic, complemented
418#14523965C2311yescharacteristic, complemented
419#14523965C2311yescharacteristic, complemented
420#14523965C2311yescharacteristic, complemented
421#14523964C2311yescharacteristic
422#14523964C2311yescharacteristic
423#14523964C2311yescharacteristic
424#14523964C2311yescharacteristic
425#14523964C2311yescharacteristic
426#14523964C2311yescharacteristic
427#14523964C2311yescharacteristic, complemented
428#14523963C2311yescharacteristic
429#14523963C2311yescharacteristic
430#14523963C2311yescharacteristic, complemented
431#14523963C2311yescharacteristic, complemented
432C22⋊(C67⋊C8)C2311yescharacteristic
433C22⋊(C67⋊C8)C2311yescharacteristic, complemented
434(C2×D67)⋊C8C2311yescharacteristic
435(C2×D67)⋊C8C2311yescharacteristic
436(C2×D67)⋊C8C2311yescharacteristic
437(C2×D67)⋊C8C2311yescharacteristic
438(C2×D67)⋊C8C2311yescharacteristic
439(C2×D67)⋊C8C2311yescharacteristic
440(C2×D67)⋊C8C2311yescharacteristic, complemented
441(C2×D67)⋊C8C2311yescharacteristic, complemented
442#14523954C2311yescharacteristic, complemented
443#14523953C2311yescharacteristic, complemented
444C8×Dic67C2311yescharacteristic, complemented
445C2×#41×C67C2311yescharacteristic
446C2×#41×C67C2311yescharacteristic, complemented
447C22×Q8×C67C2311yescharacteristic
448C22×D4×C67C2311yescharacteristic
449#135×C67—42no—
450C2×Q16×C67C2311yescharacteristic, complemented
451C2×Q16×C67C2311yescharacteristic, complemented
452C2×SD16×C67—42no—
453C2×SD16×C67C2311yescharacteristic
454C2×SD16×C67C2311yescharacteristic
455C2×SD16×C67C2311yescharacteristic
456C2×SD16×C67C2311yescharacteristic
457C2×SD16×C67C2311yescharacteristic, complemented
458C2×D8×C67C2311yescharacteristic
459C2×D8×C67C2311yescharacteristic
460C22×C8×C67C2311yescharacteristic
461C22×C8×C67C2311yescharacteristic, complemented
462#124×C67—21no—
463#124×C67C2311yescharacteristic
464#124×C67C2311yescharacteristic, complemented
465#123×C67—21no—
466C22⋊Q8×C67—21no—
467C22⋊Q8×C67C2311yescharacteristic
468C22⋊Q8×C67C2311yescharacteristic, complemented
469#121×C67—21no—
470#121×C67—21no—
471#121×C67C2311yescharacteristic
472#121×C67C2311yescharacteristic
473#120×C67—21no—
474C4×Q8×C67C2311yescharacteristic, complemented
475C4×D4×C67—21no—
476C4×D4×C67C2311yescharacteristic
477C4×D4×C67C2311yescharacteristic
478C2×C22⋊C4×C67—21no—
479#106×C67C2311yescharacteristic, complemented
480C4⋊C8×C67C2311yescharacteristic, complemented
481#103×C67C2311yescharacteristic, complemented
482#103×C67C2311yescharacteristic, complemented
483#103×C67C2311yescharacteristic, complemented
484#102×C67C2311yescharacteristic
485#102×C67C2311yescharacteristic
486#102×C67C2311yescharacteristic, complemented
487C22⋊C8×C67C2311yescharacteristic
488C22⋊C8×C67C2311yescharacteristic, complemented
489C4×C8×C67C2311yescharacteristic, complemented
490C23×D67—21no—
491C23×D67—21no—
492C23×D67—21no—
493C23×D67—21no—
494C23×D67—21no—
495C23×D67—21no—
496C23×D67—21no—
497C23×D67—21no—
498C23×D67—44no—
499C23×D67—82no—
500C23×D67—82no—
501C23×D67C2×D411yescharacteristic
502#11761629—22no—
503#11761629—41no—
504#11761629—41no—
505#11761629—41no—
506#11761629—41no—
507#11761629—41no—
508#11761628—41no—
509#11761628—41no—
510#11761628—44no—
511#11761627—82no—
512#11761627—82no—
513C2×Dic134—21no—
514C2×Dic134—21no—
515C2×Dic134C2×D411yescharacteristic
516C2×D268—22no—
517C2×D268—22no—
518C2×D268—21no—
519C2×D268—21no—
520C2×D268—21no—
521C2×D268—21no—
522C2×D268—21no—
523C2×D268—21no—
524C2×D268—21no—
525C2×D268—21no—
526C2×D268—21no—
527C2×D268—21no—
528C2×D268—41no—
529C2×D268—41no—
530C2×D268—44no—
531C2×D268—82no—
532C2×D268C2×D411yescharacteristic
533C2×D268C2×D411yescharacteristic
534C2×D268C2411yescharacteristic
535C2×D268C2411yescharacteristic
536C2×D268C2411yescharacteristic
537C2×D268C2411yescharacteristic
538C2×C22⋊D67—21no—
539C2×C22⋊D67—21no—
540C2×C22⋊D67—21no—
541C2×C22⋊D67—21no—
542C2×C22⋊D67—21no—
543C2×C22⋊D67—21no—
544C2×C22⋊D67—21no—
545C2×C22⋊D67—21no—
546C2×C22⋊D67—21no—
547C2×C22⋊D67—21no—
548C2×C22⋊D67—21no—
549C2×C22⋊D67—21no—
550C2×C22⋊D67—21no—
551C2×C22⋊D67—21no—
552C2×C22⋊D67—21no—
553C2×C22⋊D67—44no—
554C2×C22⋊D67—82no—
555C2×C22⋊D67C2×D411yescharacteristic
556C2×C22⋊D67C2×D411yescharacteristic
557C2×C22⋊D67C2×D411yescharacteristic
558C2×C22⋊D67C2×D411yescharacteristic
559D4×D67—22no—
560D4×D67—22no—
561D4×D67—22no—
562D4×D67—22no—
563D4×D67—22no—
564D4×D67—41no—
565D4×D67—41no—
566D4×D67—41no—
567D4×D67—41no—
568D4×D67—41no—
569D4×D67—41no—
570D4×D67—41no—
571D4×D67—44no—
572D4×D67—44no—
573D4×D67—44no—
574D4×D67—44no—
575D4×D67—82no—
576D4×D67—82no—
577D4×D67—82no—
578C22×Dic67—21no—
579C22×Dic67—21no—
580C22×Dic67—21no—
581C22×Dic67—21no—
582C22×Dic67C2×D411yescharacteristic
583C2×C4×D67—21no—
584C2×C4×D67—21no—
585C2×C4×D67—21no—
586C2×C4×D67—21no—
587C2×C4×D67—21no—
588C2×C4×D67—21no—
589C2×C4×D67—21no—
590C2×C4×D67—21no—
591C2×C4×D67—41no—
592C2×C4×D67—41no—
593C2×C4×D67C2×D411yescharacteristic
594C2×C4×D67C2×D411yescharacteristic
595C2×C4×D67C2411yescharacteristic
596C2×C4×D67C2411yescharacteristic
597C2×C4×D67C2411yescharacteristic
598#11761615—22no—
599#11761615—22no—
600#11761615—41no—
601#11761615—41no—
602#11761615—41no—
603#11761615—41no—
604#11761615—41no—
605D536—22no—
606D536—41no—
607D536—41no—
608#11761613—22no—
609#11761613—22no—
610#11761613—41no—
611#11761613—41no—
612#11761613—41no—
613#11761612—41no—
614#11761611—41no—
615C2×C67⋊C8—41no—
616C2×C67⋊C8C2411yescharacteristic
617C2×C67⋊C8C2411yescharacteristic
618C2×C67⋊C8C2411yescharacteristic
619C2×C67⋊C8C2411yescharacteristic
620C8×D67—41no—
621C8×D67—41no—
622C8×D67—41no—
623C4⋊Dic67—21no—
624C4⋊Dic67—21no—
625C4⋊Dic67—21no—
626C4⋊Dic67—21no—
627C4⋊Dic67C2×D411yescharacteristic
628C4⋊Dic67C2411yescharacteristic
629C4⋊Dic67C2411yescharacteristic
630C4⋊Dic67C2411yescharacteristic
631C4⋊Dic67C2411yescharacteristic
632Dic67⋊C4—21no—
633Dic67⋊C4—21no—
634Dic67⋊C4—21no—
635Dic67⋊C4—21no—
636Dic67⋊C4—21no—
637Dic67⋊C4—21no—
638Dic67⋊C4—21no—
639Dic67⋊C4—21no—
640Dic67⋊C4—21no—
641Dic67⋊C4C2×D411yescharacteristic
642Dic67⋊C4C2×D411yescharacteristic
643Dic67⋊C4C2×D411yescharacteristic
644Dic67⋊C4C2×D411yescharacteristic
645C22⋊Dic67—21no—
646C22⋊Dic67—21no—
647C22⋊Dic67—21no—
648C22⋊Dic67—21no—
649C22⋊Dic67—21no—
650C22⋊Dic67C2×D411yescharacteristic
651C22⋊Dic67C2×D411yescharacteristic
652(C2×D67)⋊C4—21no—
653(C2×D67)⋊C4—21no—
654(C2×D67)⋊C4—21no—
655(C2×D67)⋊C4—21no—
656(C2×D67)⋊C4—21no—
657(C2×D67)⋊C4—21no—
658(C2×D67)⋊C4—21no—
659(C2×D67)⋊C4—21no—
660(C2×D67)⋊C4—21no—
661(C2×D67)⋊C4—21no—
662(C2×D67)⋊C4—21no—
663(C2×D67)⋊C4—21no—
664(C2×D67)⋊C4—21no—
665(C2×D67)⋊C4—21no—
666(C2×D67)⋊C4—21no—
667(C2×D67)⋊C4—21no—
668(C2×D67)⋊C4—21no—
669(C2×D67)⋊C4—21no—
670(C2×D67)⋊C4—21no—
671(C2×D67)⋊C4—21no—
672(C2×D67)⋊C4—21no—
673(C2×D67)⋊C4C2×D411yescharacteristic
674(C2×D67)⋊C4C2×D411yescharacteristic
675(C2×D67)⋊C4C2×D411yescharacteristic
676(C2×D67)⋊C4C2×D411yescharacteristic
677(C2×D67)⋊C4C2×D411yescharacteristic
678(C2×D67)⋊C4C2×D411yescharacteristic
679C4×Dic67—21no—
680C4×Dic67—21no—
681C4×Dic67C2411yescharacteristic
682C24×C67—21no—
683#41×C67—22no—
684#41×C67—41no—
685#41×C67—41no—
686#41×C67—41no—
687C2×Q8×C67—21no—
688C2×Q8×C67—41no—
689C2×Q8×C67—41no—
690C2×Q8×C67C2411yescharacteristic
691C2×Q8×C67C2411yescharacteristic
692C2×Q8×C67C2411yescharacteristic
693C2×D4×C67—22no—
694C2×D4×C67—21no—
695C2×D4×C67—21no—
696C2×D4×C67—21no—
697C2×D4×C67—21no—
698C2×D4×C67—21no—
699C2×D4×C67—41no—
700C2×D4×C67C2×D411yescharacteristic
701C2×D4×C67C2411yescharacteristic
702C2×D4×C67C2411yescharacteristic
703C2×D4×C67C2411yescharacteristic
704C22×C4×C67—21no—
705C22×C4×C67—21no—
706C22×C4×C67—21no—
707C22×C4×C67—21no—
708C22×C4×C67C2411yescharacteristic
709C22×C4×C67C2411yescharacteristic
710Q16×C67—41no—
711Q16×C67—41no—
712SD16×C67—22no—
713SD16×C67—22no—
714SD16×C67—41no—
715SD16×C67—41no—
716SD16×C67—41no—
717D8×C67—22no—
718D8×C67—41no—
719C2×C8×C67—41no—
720C2×C8×C67—41no—
721C2×C8×C67C2411yescharacteristic
722C2×C8×C67C2411yescharacteristic
723C2×C8×C67C2411yescharacteristic
724C2×C8×C67C2411yescharacteristic
725C4⋊C4×C67—21no—
726C4⋊C4×C67—21no—
727C4⋊C4×C67—21no—
728C4⋊C4×C67C2×D411yescharacteristic
729C4⋊C4×C67C2411yescharacteristic
730C4⋊C4×C67C2411yescharacteristic
731C22⋊C4×C67—21no—
732C22⋊C4×C67—21no—
733C22⋊C4×C67—21no—
734C22⋊C4×C67—21no—
735C22⋊C4×C67—21no—
736C22⋊C4×C67—21no—
737C22⋊C4×C67—21no—
738C22⋊C4×C67—21no—
739C22⋊C4×C67—21no—
740C22⋊C4×C67C2×D411yescharacteristic
741C22⋊C4×C67C2×D411yescharacteristic
742C42×C67—21no—
743C42×C67C2411yescharacteristic
744C23×C67—21no—
745C23×C67—21no—
746C23×C67—21no—
747C23×C67—42no—
748C23×C67—42no—
749C23×C67—81no—
750C23×C67C22×D411yescharacteristic
751C23×C67C22×D411yescharacteristic
752C22×D67—22no—
753C22×D67—21no—
754C22×D67—24no—
755C22×D67—22no—
756C22×D67—21no—
757C22×D67—21no—
758C22×D67—21no—
759C22×D67—41no—
760C22×D67—42no—
761C22×D67—42no—
762C22×D67—42no—
763C22×D67—42no—
764C22×D67—42no—
765C22×D67—42no—
766C22×D67—42no—
767C22×D67—42no—
768C22×D67—42no—
769C22×D67—42no—
770C22×D67—81no—
771C22×D67—81no—
772C22×D67—81no—
773C22×D67—81no—
774C22×D67—81no—
775C22×D67—81no—
776C22×D67—81no—
777C22×D67—81no—
778C22×D67—81no—
779C22×D67—81no—
780C22×D67—81no—
781C22×D67—81no—
782C22×D67—81no—
783C22×D67—816no—
784C22×D67C22×D411yescharacteristic
785C22×D67C22×D411yescharacteristic
786C22×D67C22×D411yescharacteristic
787Q8×C67—21no—
788Q8×C67—21no—
789Q8×C67—21no—
790Q8×C67—21no—
791Q8×C67—21no—
792Q8×C67—21no—
793Q8×C67—81no—
794D4×C67—22no—
795D4×C67—21no—
796D4×C67—21no—
797D4×C67—21no—
798D4×C67—21no—
799D4×C67—21no—
800D4×C67—42no—
801D4×C67—42no—
802D4×C67—42no—
803D4×C67—81no—
804D4×C67—81no—
805D4×C67H(5,𝔽2)12yes—
806C2×C4×C67—21no—
807C2×C4×C67—21no—
808C2×C4×C67—21no—
809C2×C4×C67—21no—
810C2×C4×C67—21no—
811C2×C4×C67—21no—
812C2×C4×C67—21no—
813C2×C4×C67—21no—
814C2×C4×C67—21no—
815C2×C4×C67—42no—
816C2×C4×C67—81no—
817C2×C4×C67—81no—
818C2×C4×C67—81no—
819C2×C4×C67C22×D411yescharacteristic
820C2×C4×C67C22×D411yescharacteristic
821C2×C4×C67C22×D411yescharacteristic
822C2×C4×C67C22×D411yescharacteristic
823C2×C4×C67C2511yescharacteristic
824C22⋊D67—24no—
825C22⋊D67—22no—
826C22⋊D67—22no—
827C22⋊D67—41no—
828C22⋊D67—41no—
829C22⋊D67—42no—
830C22⋊D67—42no—
831C22⋊D67—42no—
832C22⋊D67—42no—
833C22⋊D67—42no—
834C22⋊D67—42no—
835C22⋊D67—81no—
836C22⋊D67—81no—
837C22⋊D67—81no—
838C22⋊D67—81no—
839C22⋊D67—81no—
840C22⋊D67—81no—
841C22⋊D67—81no—
842C22⋊D67—81no—
843C2×Dic67—21no—
844C2×Dic67—21no—
845C2×Dic67—21no—
846C2×Dic67—21no—
847C2×Dic67—41no—
848C2×Dic67—42no—
849C2×Dic67—81no—
850C2×Dic67—81no—
851C2×Dic67—81no—
852C2×Dic67C22×D411yescharacteristic
853C2×Dic67C22×D411yescharacteristic
854C2×Dic67C22×D411yescharacteristic
855C2×Dic67C22×D411yescharacteristic
856C2×Dic67C22×D411yescharacteristic
857D268—22no—
858D268—21no—
859D268—21no—
860D268—21no—
861D268—21no—
862D268—21no—
863D268—21no—
864D268—21no—
865D268—41no—
866D268—42no—
867D268—42no—
868D268—42no—
869D268—42no—
870D268—42no—
871D268—81no—
872D268—81no—
873D268—81no—
874D268—81no—
875D268—81no—
876D268H(5,𝔽2)12yes—
877C4×D67—21no—
878C4×D67—21no—
879C4×D67—21no—
880C4×D67—21no—
881C4×D67—21no—
882C4×D67—21no—
883C4×D67—41no—
884C4×D67—41no—
885C4×D67—42no—
886C4×D67—42no—
887C4×D67—81no—
888C4×D67—81no—
889C4×D67—81no—
890C4×D67—81no—
891C4×D67—81no—
892C4×D67—81no—
893Dic134—41no—
894Dic134—81no—
895Dic134—81no—
896C8×C67—21no—
897C8×C67—21no—
898C8×C67—21no—
899C8×C67—21no—
900C67⋊C8—21no—
901C67⋊C8—21no—
902C67⋊C8—21no—
903C67⋊C8—21no—
904C22×C67—21no—
905C22×C67—21no—
906C22×C67—22no—
907C22×C67—21no—
908C22×C67—21no—
909C22×C67—21no—
910C22×C67—41no—
911C22×C67—41no—
912C22×C67—41no—
913C22×C67—41no—
914C22×C67—41no—
915C22×C67—41no—
916C22×C67—41no—
917C22×C67—41no—
918C22×C67—84no—
919C22×C67#57612yes—
920C22×C67C23×D411yescharacteristic
921C2×D67—21no—
922C2×D67—21no—
923C2×D67—21no—
924C2×D67—21no—
925C2×D67—22no—
926C2×D67—21no—
927C2×D67—21no—
928C2×D67—21no—
929C2×D67—21no—
930C2×D67—44no—
931C2×D67—41no—
932C2×D67—41no—
933C2×D67—41no—
934C2×D67—41no—
935C2×D67—41no—
936C2×D67—41no—
937C2×D67—41no—
938C2×D67—41no—
939C2×D67—41no—
940C2×D67—41no—
941C2×D67—41no—
942C2×D67—84no—
943C2×D67—84no—
944C2×D67—84no—
945C2×D67—84no—
946C2×D67—84no—
947C2×D67—162no—
948C2×D67—162no—
949C2×D67—162no—
950C2×D67#57712yes—
951C4×C67—21no—
952C4×C67—21no—
953C4×C67—21no—
954C4×C67—21no—
955C4×C67—41no—
956C4×C67—41no—
957C4×C67—41no—
958C4×C67—41no—
959C4×C67—41no—
960C4×C67C2×H(5,𝔽2)11yescharacteristic
961C4×C67C2×H(5,𝔽2)11yescharacteristic
962Dic67—21no—
963Dic67—21no—
964Dic67—21no—
965Dic67—21no—
966Dic67—21no—
967Dic67—41no—
968Dic67—41no—
969Dic67—41no—
970Dic67—41no—
971#61629—671nomaximal, Sylow
972C2×C67—22no—
973C2×C67—42no—
974C2×C67—41no—
975C2×C67—81no—
976C2×C67—81no—
977C2×C67#348411yescharacteristic
978C2×C67C2×#57611yescharacteristic
979C2×C67C2×#57711yescharacteristic
980D67—22no—
981D67—41no—
982D67—41no—
983D67—42no—
984D67—81no—
985D67—81no—
986D67—81no—
987#3536—671no—
988#3484—671no—
989#3314—671no—
990#3314—671no—
991#3306—671no—
992#3306—671no—
993#3295—671no—
994#3295—671no—
995#3294—671no—
996#3294—671no—
997#3282—671no—
998#3282D6711yescharacteristic, complemented
999#3280—671no—
1000#3280—671no—
1001#3265—671no—
1002#3265—671no—
1003#3264—671no—
1004#3264—671no—
1005#3224—671no—
1006#3224—671no—
1007#3198—671no—
1008#3198—671no—
1009#3190—671no—
1010#3188—671no—
1011#3118—671no—
1012#3118—671no—
1013#3012—671no—
1014#3012—671no—
1015C2×#450—671no—
1016C2×#447—671no—
1017#2977—671no—
1018C67#6162911yescharacteristic, complemented, Sylow
1019C2×H(5,𝔽2)—671no—
1020C23×D4—671no—
1021C2×AGL(1,ℤ/8)—671no—
1022C2×AGL(1,ℤ/8)—671no—
1023C2×#135—671no—
1024C2×#135C2×D6711yescharacteristic, complemented
1025C22×SD16—671no—
1026C22×SD16C2×D6711yescharacteristic, complemented
1027C22×D8—671no—
1028C22×D8—671no—
1029#562—1341no—
1030#562—1341no—
1031#554—671no—
1032#554—671no—
1033#548—671no—
1034#548C2×D6711yescharacteristic, complemented
1035#547—671no—
1036#547—671no—
1037#546—671no—
1038#546—671no—
1039#546—671no—
1040#546—671no—
1041#546—671no—
1042#546—1341no—
1043#546—1341no—
1044#546—1341no—
1045#546—1341no—
1046#546C2×D6711yescharacteristic, complemented
1047D42—671no—
1048D42—671no—
1049D42—671no—
1050D42—671no—
1051D42—1341no—
1052D42—1341no—
1053#543—1341no—
1054#542—671no—
1055#542—671no—
1056#539—1341no—
1057#538—1341no—
1058#537—671no—
1059#537—671no—
1060#537—1341no—
1061#535—671no—
1062#535—671no—
1063#534—1341no—
1064#534—1341no—
1065#525—671no—
1066#525—671no—
1067C2×C22⋊Q8—671no—
1068C2×#121—671no—
1069C2×#120—1341no—
1070C2×#120—1341no—
1071#518—671no—
1072#496—671no—
1073#496—671no—
1074#495—671no—
1075#495C2×D6711yescharacteristic, complemented
1076#489—671no—
1077#489—671no—
1078#486—671no—
1079#486—671no—
1080#485—671no—
1081#485—671no—
1082#484—671no—
1083#483—671no—
1084#482—671no—
1085#482—671no—
1086#481—671no—
1087#481—671no—
1088#481—671no—
1089#480—671no—
1090#480—671no—
1091#480—671no—
1092#476—671no—
1093#476—671no—
1094#474—671no—
1095#474—671no—
1096#469—671no—
1097#469—671no—
1098#468—671no—
1099#468—671no—
1100#467—671no—
1101#467—671no—
1102#466—671no—
1103#466—671no—
1104#466—671no—
1105#466—671no—
1106#465—671no—
1107#465—671no—
1108#465—671no—
1109#465—671no—
1110#465C2×D6711yescharacteristic, complemented
1111#465C2×D6711yescharacteristic, complemented
1112#464—671no—
1113#464C2×D6711yescharacteristic, complemented
1114#463—671no—
1115#463—671no—
1116#463—671no—
1117#463—671no—
1118#463—671no—
1119#463C2×D6711yescharacteristic, complemented
1120#460—671no—
1121#460—671no—
1122#459—671no—
1123#459—671no—
1124#452—671no—
1125#452—671no—
1126#452—671no—
1127#452C2×D6711yescharacteristic, complemented
1128#451C2×D6711yescharacteristic, complemented
1129#450—671no—
1130#450—671no—
1131#450—671no—
1132#450—671no—
1133#450—671no—
1134#450—671no—
1135#450—671no—
1136#450—671no—
1137#450—671no—
1138#450—671no—
1139#450—671no—
1140#449—671no—
1141#449—671no—
1142#449—671no—
1143#449—671no—
1144#449—671no—
1145#449—671no—
1146#449—671no—
1147#449C2×D6711yescharacteristic, complemented
1148#448—671no—
1149#447—671no—
1150#447—671no—
1151#447—671no—
1152#447—671no—
1153#447—671no—
1154#447—671no—
1155#447—671no—
1156#447—671no—
1157#447—671no—
1158#447—671no—
1159#447C2×D6711yescharacteristic, complemented
1160#442—671no—
1161#442—671no—
1162#440—671no—
1163#440—671no—
1164C4×SD16—671no—
1165C4×SD16C2×D6711yescharacteristic, complemented
1166C4×D8—671no—
1167C4×D8—671no—
1168#435—671no—
1169#435—671no—
1170#435—671no—
1171#435—671no—
1172C8×D4—671no—
1173C8×D4—671no—
1174C8×D4—671no—
1175C8×D4C2×D6711yescharacteristic, complemented
1176#433—671no—
1177#433—671no—
1178#417—671no—
1179#417—671no—
1180C2×#102—671no—
1181C2×#102—671no—
1182C2×#102—671no—
1183C2×#102—671no—
1184C2×#102—671no—
1185C2×#102—671no—
1186#408—671no—
1187#408—671no—
1188C2×C22⋊C8—671no—
1189C2×C22⋊C8—671no—
1190C25—1341no—
1191H(5,𝔽2)—2682no—
1192H(5,𝔽2)—2682no—
1193C2×#41—671no—
1194C2×#41—671no—
1195C2×#41—671no—
1196C2×#41—671no—
1197C2×#41—1341no—
1198C2×#41—1341no—
1199C2×#41—1341no—
1200C2×#41C22×D6711yescharacteristic
1201C2×#41C22×D6711yescharacteristic, complemented
1202C22×Q8C22×D6711yescharacteristic
1203C22×D4—2682no—
1204C22×D4—2682no—
1205C22×D4—671no—
1206C22×D4—671no—
1207C22×D4—671no—
1208C22×D4—671no—
1209C22×D4—671no—
1210C22×D4—671no—
1211C22×D4—671no—
1212C22×D4—671no—
1213C22×D4—1341no—
1214C22×D4—1341no—
1215C22×D4—1341no—
1216C22×D4—1341no—
1217C22×D4—1341no—
1218C22×D4—1341no—
1219C22×D4—1341no—
1220C22×D4—1341no—
1221C22×D4—1341no—
1222C22×D4—1341no—
1223C22×D4—1341no—
1224C22×D4C22×D6711yescharacteristic
1225C23×C4—671no—
1226AGL(1,ℤ/8)—2682no—
1227AGL(1,ℤ/8)—2682no—
1228#135—42no—
1229#135—2682no—
1230C2×Q16C22×D6711yescharacteristic, complemented
1231C2×Q16C22×D6711yescharacteristic, complemented
1232C2×SD16—42no—
1233C2×SD16—2682no—
1234C2×SD16—671no—
1235C2×SD16—671no—
1236C2×SD16—671no—
1237C2×SD16—671no—
1238C2×SD16—671no—
1239C2×SD16—671no—
1240C2×SD16—671no—
1241C2×SD16C22×D6711yescharacteristic
1242C2×SD16C22×D6711yescharacteristic
1243C2×SD16C22×D6711yescharacteristic
1244C2×SD16C22×D6711yescharacteristic
1245C2×SD16C22×D6711yescharacteristic, complemented
1246C2×D8—2682no—
1247C2×D8—2682no—
1248C2×D8—671no—
1249C2×D8—671no—
1250C2×D8—671no—
1251C2×D8—671no—
1252C2×D8—671no—
1253C2×D8—671no—
1254C2×D8—671no—
1255C2×D8—671no—
1256C2×D8C22×D6711yescharacteristic
1257C2×D8C22×D6711yescharacteristic
1258C2×M16—671no—
1259C2×M16—671no—
1260C22×C8—671no—
1261C22×C8—671no—
1262C22×C8—671no—
1263C22×C8—671no—
1264C22×C8C22×D6711yescharacteristic
1265C22×C8C22×D6711yescharacteristic, complemented
1266C4⋊Q8—671no—
1267C4⋊Q8—671no—
1268#127—671no—
1269#127—671no—
1270#127—1341no—
1271#126—1341no—
1272#126—1341no—
1273#125—1341no—
1274#125—1341no—
1275#124—21no—
1276#124—671no—
1277#124—671no—
1278#124—1341no—
1279#124—1341no—
1280#124—1341no—
1281#124—1341no—
1282#124C22×D6711yescharacteristic
1283#124C22×D6711yescharacteristic, complemented
1284#123—21no—
1285#123—671no—
1286#123—671no—
1287#123—1341no—
1288#123—1341no—
1289#123—1341no—
1290#123—1341no—
1291#123—1341no—
1292#123—1341no—
1293#123—1341no—
1294#123—1341no—
1295#123—1341no—
1296#123—1341no—
1297#123—1341no—
1298#123—1341no—
1299C22⋊Q8—21no—
1300C22⋊Q8—671no—
1301C22⋊Q8—671no—
1302C22⋊Q8—671no—
1303C22⋊Q8—671no—
1304C22⋊Q8—671no—
1305C22⋊Q8—671no—
1306C22⋊Q8—671no—
1307C22⋊Q8—671no—
1308C22⋊Q8—1341no—
1309C22⋊Q8—1341no—
1310C22⋊Q8—1341no—
1311C22⋊Q8—1341no—
1312C22⋊Q8—1341no—
1313C22⋊Q8—1341no—
1314C22⋊Q8—1341no—
1315C22⋊Q8—1341no—
1316C22⋊Q8—1341no—
1317C22⋊Q8—1341no—
1318C22⋊Q8—1341no—
1319C22⋊Q8—1341no—
1320C22⋊Q8—1341no—
1321C22⋊Q8C22×D6711yescharacteristic
1322C22⋊Q8C22×D6711yescharacteristic, complemented
1323#121—21no—
1324#121—21no—
1325#121—671no—
1326#121—671no—
1327#121—671no—
1328#121—671no—
1329#121—671no—
1330#121—671no—
1331#121—671no—
1332#121—671no—
1333#121—671no—
1334#121—671no—
1335#121—671no—
1336#121—671no—
1337#121—1341no—
1338#121—1341no—
1339#121—1341no—
1340#121—1341no—
1341#121—1341no—
1342#121—1341no—
1343#121—1341no—
1344#121—1341no—
1345#121—1341no—
1346#121—1341no—
1347#121—1341no—
1348#121—1341no—
1349#121—1341no—
1350#121—1341no—
1351#121—1341no—
1352#121—1341no—
1353#121—1341no—
1354#121—1341no—
1355#121—1341no—
1356#121—1341no—
1357#121C22×D6711yescharacteristic
1358#121C22×D6711yescharacteristic
1359#120—21no—
1360#120—671no—
1361#120—671no—
1362#120—1341no—
1363#120—1341no—
1364#120—1341no—
1365#120—1341no—
1366#120—1341no—
1367#120—1341no—
1368#120—1341no—
1369#120—1341no—
1370#120—1341no—
1371#120—1341no—
1372#120—1341no—
1373#120—1341no—
1374#120—1341no—
1375#120—1341no—
1376#120—1341no—
1377#120—1341no—
1378#120—1341no—
1379#120—1341no—
1380C4×Q8—671no—
1381C4×Q8C22×D6711yescharacteristic, complemented
1382C4×D4—21no—
1383C4×D4—671no—
1384C4×D4—671no—
1385C4×D4—671no—
1386C4×D4—671no—
1387C4×D4—671no—
1388C4×D4—671no—
1389C4×D4—671no—
1390C4×D4—671no—
1391C4×D4—1341no—
1392C4×D4—1341no—
1393C4×D4—1341no—
1394C4×D4—1341no—
1395C4×D4—1341no—
1396C4×D4—1341no—
1397C4×D4—1341no—
1398C4×D4C22×D6711yescharacteristic
1399C4×D4C22×D6711yescharacteristic
1400#117—671no—
1401#117—671no—
1402C2×C4⋊C4—671no—
1403C2×C4⋊C4—671no—
1404C2×C4⋊C4—671no—
1405C2×C4⋊C4—671no—
1406C2×C4⋊C4—1341no—
1407C2×C22⋊C4—21no—
1408C2×C22⋊C4—1341no—
1409C2×C22⋊C4—1341no—
1410C2×C22⋊C4—1341no—
1411C2×C22⋊C4—1341no—
1412C2×C22⋊C4—1341no—
1413C2×C22⋊C4—1341no—
1414C2×C22⋊C4—1341no—
1415C2×C22⋊C4—1341no—
1416C2×C22⋊C4—1341no—
1417#107—671no—
1418#107—671no—
1419#107—671no—
1420#107—671no—
1421#106—671no—
1422#106—671no—
1423#106—671no—
1424#106C22×D6711yescharacteristic, complemented
1425C4⋊C8—671no—
1426C4⋊C8—671no—
1427C4⋊C8—671no—
1428C4⋊C8C22×D6711yescharacteristic, complemented
1429#103—671no—
1430#103—671no—
1431#103—671no—
1432#103—671no—
1433#103—671no—
1434#103C22×D6711yescharacteristic, complemented
1435#103C22×D6711yescharacteristic, complemented
1436#103C22×D6711yescharacteristic, complemented
1437#102—671no—
1438#102—671no—
1439#102—671no—
1440#102—671no—
1441#102—671no—
1442#102—671no—
1443#102—671no—
1444#102—671no—
1445#102—671no—
1446#102—671no—
1447#102—671no—
1448#102—671no—
1449#102—671no—
1450#102—671no—
1451#102—671no—
1452#102—671no—
1453#102—671no—
1454#102—671no—
1455#102—671no—
1456#102—671no—
1457#102—671no—
1458#102C22×D6711yescharacteristic
1459#102C22×D6711yescharacteristic
1460#102C22×D6711yescharacteristic, complemented
1461C22⋊C8—671no—
1462C22⋊C8—671no—
1463C22⋊C8—671no—
1464C22⋊C8—671no—
1465C22⋊C8—671no—
1466C22⋊C8—671no—
1467C22⋊C8—671no—
1468C22⋊C8—671no—
1469C22⋊C8—671no—
1470C22⋊C8—671no—
1471C22⋊C8C22×D6711yescharacteristic
1472C22⋊C8C22×D6711yescharacteristic, complemented
1473#97—671no—
1474#97—671no—
1475C4×C8—671no—
1476C4×C8C22×D6711yescharacteristic, complemented
1477C24—21no—
1478C24—2684no—
1479C24—5362no—
1480C24—5362no—
1481C24—671no—
1482C24—1341no—
1483C24—1341no—
1484C24—1341no—
1485C24—1341no—
1486C24—1341no—
1487C24—1341no—
1488C24—1341no—
1489C24—1341no—
1490#41—22no—
1491#41—41no—
1492#41—41no—
1493#41—41no—
1494#41—2681no—
1495#41—2681no—
1496#41—2684no—
1497#41—2681no—
1498#41—2681no—
1499#41—2681no—
1500#41—2681no—
1501#41—2681no—
1502#41—5362no—
1503#41—5362no—
1504#41—1342no—
1505C2×Q8—21no—
1506C2×Q8—41no—
1507C2×Q8—41no—
1508C2×Q8—671no—
1509C2×Q8—1341no—
1510C2×Q8—1341no—
1511C2×Q8C23×D6711yescharacteristic
1512C2×Q8C23×D6711yescharacteristic
1513C2×Q8C23×D6711yescharacteristic
1514C2×D4—22no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—41no—
1521C2×D4—2681no—
1522C2×D4—2681no—
1523C2×D4—2684no—
1524C2×D4—2684no—
1525C2×D4—2684no—
1526C2×D4—2684no—
1527C2×D4—2684no—
1528C2×D4—2684no—
1529C2×D4—2681no—
1530C2×D4—2681no—
1531C2×D4—2681no—
1532C2×D4—2681no—
1533C2×D4—2681no—
1534C2×D4—2681no—
1535C2×D4—2681no—
1536C2×D4—5362no—
1537C2×D4—5362no—
1538C2×D4—5362no—
1539C2×D4—5362no—
1540C2×D4—5362no—
1541C2×D4—671no—
1542C2×D4—671no—
1543C2×D4—671no—
1544C2×D4—671no—
1545C2×D4—671no—
1546C2×D4—671no—
1547C2×D4—671no—
1548C2×D4—671no—
1549C2×D4—671no—
1550C2×D4—671no—
1551C2×D4—1341no—
1552C2×D4—1341no—
1553C2×D4—1341no—
1554C2×D4—1342no—
1555C2×D4—1342no—
1556C2×D4—1341no—
1557C2×D4—1341no—
1558C2×D4—1341no—
1559C2×D4—1341no—
1560C2×D4—1341no—
1561C2×D4—1341no—
1562C2×D4—1341no—
1563C2×D4—1341no—
1564C2×D4—1341no—
1565C2×D4—1341no—
1566C2×D4—1341no—
1567C2×D4—1342no—
1568C2×D4—1342no—
1569C2×D4—1341no—
1570C2×D4—1341no—
1571C2×D4—1342no—
1572C2×D4—1342no—
1573C2×D4—1341no—
1574C2×D4—1341no—
1575C2×D4—1341no—
1576C2×D4—1341no—
1577C2×D4—1341no—
1578C2×D4—1342no—
1579C2×D4—1341no—
1580C2×D4—1341no—
1581C2×D4—1341no—
1582C2×D4—1341no—
1583C2×D4D4×D6711yescharacteristic
1584C2×D4C23×D6711yescharacteristic
1585C2×D4C23×D6711yescharacteristic
1586C2×D4C23×D6711yescharacteristic
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—21no—
1591C22×C4—2681no—
1592C22×C4—2681no—
1593C22×C4—671no—
1594C22×C4—671no—
1595C22×C4—671no—
1596C22×C4—671no—
1597C22×C4—671no—
1598C22×C4—671no—
1599C22×C4—1341no—
1600C22×C4—1341no—
1601C22×C4—1341no—
1602C22×C4—1341no—
1603C22×C4—1341no—
1604C22×C4—1341no—
1605C22×C4—1341no—
1606C22×C4—1341no—
1607C22×C4—1341no—
1608C22×C4—1341no—
1609C22×C4—1341no—
1610C22×C4—1341no—
1611C22×C4C23×D6711yescharacteristic
1612C22×C4C23×D6711yescharacteristic
1613Q16—41no—
1614Q16—41no—
1615SD16—22no—
1616SD16—22no—
1617SD16—41no—
1618SD16—41no—
1619SD16—41no—
1620SD16—2681no—
1621SD16—2681no—
1622SD16—2681no—
1623SD16—2681no—
1624SD16—2681no—
1625SD16—1342no—
1626SD16—1342no—
1627D8—22no—
1628D8—41no—
1629D8—2681no—
1630D8—2681no—
1631D8—2681no—
1632D8—2681no—
1633D8—2681no—
1634D8—1342no—
1635D8—1342no—
1636D8—1342no—
1637M16—2681no—
1638M16—2681no—
1639C2×C8—41no—
1640C2×C8—41no—
1641C2×C8—2681no—
1642C2×C8—2681no—
1643C2×C8—2681no—
1644C2×C8—2681no—
1645C2×C8—671no—
1646C2×C8—671no—
1647C2×C8—671no—
1648C2×C8—671no—
1649C2×C8C23×D6711yescharacteristic
1650C2×C8C23×D6711yescharacteristic
1651C2×C8C23×D6711yescharacteristic
1652C2×C8C23×D6711yescharacteristic
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—21no—
1656C4⋊C4—671no—
1657C4⋊C4—671no—
1658C4⋊C4—671no—
1659C4⋊C4—671no—
1660C4⋊C4—671no—
1661C4⋊C4—671no—
1662C4⋊C4—671no—
1663C4⋊C4—671no—
1664C4⋊C4—671no—
1665C4⋊C4—1341no—
1666C4⋊C4—1341no—
1667C4⋊C4—1341no—
1668C4⋊C4—1341no—
1669C4⋊C4—1341no—
1670C4⋊C4—1341no—
1671C4⋊C4—1341no—
1672C4⋊C4—1341no—
1673C4⋊C4—1341no—
1674C4⋊C4—1341no—
1675C4⋊C4—1341no—
1676C4⋊C4—1341no—
1677C4⋊C4—1341no—
1678C4⋊C4D4×D6711yescharacteristic
1679C4⋊C4C23×D6711yescharacteristic
1680C4⋊C4C23×D6711yescharacteristic
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—671no—
1691C22⋊C4—671no—
1692C22⋊C4—671no—
1693C22⋊C4—671no—
1694C22⋊C4—671no—
1695C22⋊C4—671no—
1696C22⋊C4—671no—
1697C22⋊C4—671no—
1698C22⋊C4—1341no—
1699C22⋊C4—1341no—
1700C22⋊C4—1341no—
1701C22⋊C4—1341no—
1702C22⋊C4—1341no—
1703C22⋊C4—1341no—
1704C22⋊C4—1341no—
1705C22⋊C4—1341no—
1706C22⋊C4—1341no—
1707C22⋊C4—1341no—
1708C22⋊C4—1341no—
1709C22⋊C4—1341no—
1710C22⋊C4—1341no—
1711C22⋊C4—1341no—
1712C22⋊C4—1341no—
1713C22⋊C4—1341no—
1714C22⋊C4—1341no—
1715C22⋊C4—1341no—
1716C22⋊C4—1341no—
1717C22⋊C4—1341no—
1718C22⋊C4—1341no—
1719C22⋊C4—1341no—
1720C22⋊C4—1341no—
1721C22⋊C4—1341no—
1722C22⋊C4—1341no—
1723C22⋊C4—1341no—
1724C22⋊C4D4×D6711yescharacteristic
1725C22⋊C4D4×D6711yescharacteristic
1726C42—21no—
1727C42—671no—
1728C42—1341no—
1729C42—1341no—
1730C42C23×D6711yescharacteristic
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—42no—
1735C23—42no—
1736C23—81no—
1737C23—2681no—
1738C23—2682no—
1739C23—2682no—
1740C23—2682no—
1741C23—2682no—
1742C23—2682no—
1743C23—2682no—
1744C23—2682no—
1745C23—2682no—
1746C23—2682no—
1747C23—2682no—
1748C23—5361no—
1749C23—5361no—
1750C23—5361no—
1751C23—5361no—
1752C23—5361no—
1753C23—5361no—
1754C23—5361no—
1755C23—5361no—
1756C23—5361no—
1757C23—5361no—
1758C23—5361no—
1759C23—5361no—
1760C23—5361no—
1761C23—53616no—
1762C23—671no—
1763C23—671no—
1764C23—671no—
1765C23—1342no—
1766C23—1344no—
1767C23—1341no—
1768C23—1341no—
1769C23—1341no—
1770C23—1342no—
1771C23—1341no—
1772C23C2×D4×D6711yescharacteristic
1773C23C2×D4×D6711yescharacteristic
1774Q8—21no—
1775Q8—21no—
1776Q8—21no—
1777Q8—21no—
1778Q8—21no—
1779Q8—21no—
1780Q8—81no—
1781Q8—2681no—
1782Q8—5361no—
1783Q8—5361no—
1784D4—22no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—42no—
1791D4—42no—
1792D4—42no—
1793D4—81no—
1794D4—81no—
1795D4—2682no—
1796D4—2682no—
1797D4—2681no—
1798D4—2682no—
1799D4—2682no—
1800D4—2682no—
1801D4—2682no—
1802D4—2682no—
1803D4—2682no—
1804D4—2682no—
1805D4—2681no—
1806D4—2681no—
1807D4—2682no—
1808D4—2682no—
1809D4—5361no—
1810D4—5361no—
1811D4—5361no—
1812D4—5361no—
1813D4—5361no—
1814D4—5361no—
1815D4—5361no—
1816D4—5361no—
1817D4—5361no—
1818D4—5361no—
1819D4—5361no—
1820D4—5361no—
1821D4—5361no—
1822D4—672no—
1823D4—1342no—
1824D4—1342no—
1825D4—1344no—
1826D4—1342no—
1827D4—1341no—
1828D4—1341no—
1829D4—1341no—
1830D4—1341no—
1831D4—1341no—
1832D4—1341no—
1833D4—1341no—
1834D4#1452408812yes—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—42no—
1845C2×C4—81no—
1846C2×C4—81no—
1847C2×C4—81no—
1848C2×C4—2681no—
1849C2×C4—2681no—
1850C2×C4—2682no—
1851C2×C4—2682no—
1852C2×C4—2682no—
1853C2×C4—2681no—
1854C2×C4—5361no—
1855C2×C4—5361no—
1856C2×C4—5361no—
1857C2×C4—5361no—
1858C2×C4—5361no—
1859C2×C4—5361no—
1860C2×C4—5361no—
1861C2×C4—5361no—
1862C2×C4—5361no—
1863C2×C4—671no—
1864C2×C4—671no—
1865C2×C4—671no—
1866C2×C4—671no—
1867C2×C4—671no—
1868C2×C4—1341no—
1869C2×C4—1341no—
1870C2×C4—1341no—
1871C2×C4—1341no—
1872C2×C4—1341no—
1873C2×C4—1341no—
1874C2×C4—1341no—
1875C2×C4—1341no—
1876C2×C4—1341no—
1877C2×C4—1341no—
1878C2×C4C2×D4×D6711yescharacteristic
1879C2×C4C2×D4×D6711yescharacteristic
1880C2×C4C2×D4×D6711yescharacteristic
1881C2×C4C2×D4×D6711yescharacteristic
1882C2×C4C24×D6711yescharacteristic
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—1341no—
1888C8—1341no—
1889C8—1341no—
1890C8—1341no—
1891C22—21no—
1892C22—21no—
1893C22—21no—
1894C22—22no—
1895C22—21no—
1896C22—21no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—84no—
1906C22—2684no—
1907C22—2681no—
1908C22—2681no—
1909C22—2681no—
1910C22—2681no—
1911C22—2681no—
1912C22—2681no—
1913C22—2681no—
1914C22—2681no—
1915C22—2681no—
1916C22—2681no—
1917C22—2681no—
1918C22—5364no—
1919C22—5364no—
1920C22—5364no—
1921C22—5364no—
1922C22—5364no—
1923C22—10722no—
1924C22—10722no—
1925C22—10722no—
1926C22—672no—
1927C22—1341no—
1928C22—1342no—
1929C22—1341no—
1930C22—1341no—
1931C22—1341no—
1932C22—1341no—
1933C22—1341no—
1934C22—1341no—
1935C22—1341no—
1936C22#1686419812yes—
1937C22C22×D4×D6711yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—21no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—2681no—
1948C4—2681no—
1949C4—2681no—
1950C4—2681no—
1951C4—1341no—
1952C4—1341no—
1953C4—1341no—
1954C4—1341no—
1955C4—1341no—
1956C4H(5,𝔽2)×D6711yescharacteristic
1957C4C2×#1452408811yescharacteristic
1958C2—22no—
1959C2—41no—
1960C2—42no—
1961C2—81no—
1962C2—81no—
1963C2—2681no—
1964C2—2682no—
1965C2—2681no—
1966C2—5361no—
1967C2—5361no—
1968C2—5361no—
1969C2—1342no—
1970C2#2257383711yescharacteristic
1971C2C2×#1686419811yescharacteristic
1972C2#577×D6711yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3282C2
socleC22×C67C23×D4
hypercenter#3282D67
hypocenterC67#61629
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #22574425C2semidirect
2. #22573839C2semidirect
3. #22572297C2semidirect
4. #22572283C2semidirect
5. #22572176C2semidirect
6. #22572170C2semidirect
7. #22572035C2semidirect
8. #22572028C2semidirect
9. #22572023C2semidirect
10. #22572015C2semidirect
11. #22571909C2semidirect
12. #22571893C2semidirect
13. #22571888C2semidirect
14. #22571705C2semidirect
15. #22571704C2semidirect
16. #22571695C2semidirect
17. #22571692C2semidirect
18. #22571310C2semidirect
19. #22571296C2semidirect
20. #22571064C2semidirect
21. #22571058C2semidirect
22. #22570993C2semidirect
23. #22570975C2semidirect
24. #22570399C2semidirect
25. #22570390C2semidirect
26. #22569517C2semidirect
27. #22569509C2semidirect
28. C2×#16863545C2semidirect
29. #447×D67C2semidirect
30. #22569262C2semidirect
31. C67×#3282C2semidirect
32. C2×#14524089C22semidirect
34. C2×#14524070C22semidirect
35. C2×#14524068C22semidirect
36. C2×#14524066C22semidirect
37. C22×#11761615C22semidirect
38. C2×D8×D67C22semidirect
39. C2×D8×D67C22semidirect
42. #16864106C22semidirect
43. #16864104C22semidirect
44. #16864057C22semidirect
45. #16864050C22semidirect
46. #16864046C22semidirect
49. #16864039C22semidirect
51. #16864037C22semidirect
55. #16864034C22semidirect
57. D4×D268C22semidirect
60. D4×C22⋊D67C22semidirect
63. #16864018C22semidirect
64. #16864015C22semidirect
67. #16863976C22semidirect
68. #16863974C22semidirect
70. #16863964C22semidirect
71. #16863962C22semidirect
76. C2×#14524019C22semidirect
77. #121×D67C22semidirect
80. #16863868C22semidirect
81. #16863786C22semidirect
82. #16863782C22semidirect
83. #16863781C22semidirect
84. #16863757C22semidirect
85. #16863755C22semidirect
86. #16863743C22semidirect
87. #16863741C22semidirect
88. #16863736C22semidirect
89. #16863736C22semidirect
90. #16863730C22semidirect
91. #16863724C22semidirect
92. #16863722C22semidirect
93. #16863718C22semidirect
94. #16863716C22semidirect
95. #16863716C22semidirect
96. #16863712C22semidirect
97. #16863710C22semidirect
98. #16863710C22semidirect
99. #16863708C22semidirect
100. #16863686C22semidirect
101. #16863685C22semidirect
102. #16863677C22semidirect
103. #16863674C22semidirect
104. #16863648C22semidirect
105. #16863647C22semidirect
106. #16863644C22semidirect
107. #16863639C22semidirect
108. #16863634C22semidirect
109. #16863634C22semidirect
110. #16863632C22semidirect
111. #16863632C22semidirect
112. #16863630C22semidirect
113. #16863629C22semidirect
114. #16863628C22semidirect
115. #16863628C22semidirect
116. #16863628C22semidirect
117. #16863627C22semidirect
118. #16863620C22semidirect
119. #16863614C22semidirect
120. #16863613C22semidirect
121. #16863613C22semidirect
122. #16863608C22semidirect
123. #16863608C22semidirect
124. #16863596C22semidirect
125. #16863594C22semidirect
126. #16863592C22semidirect
127. #16863589C22semidirect
128. #16863557C22semidirect
129. #16863557C22semidirect
130. #16863557C22semidirect
131. #16863546C22semidirect
132. #16863545C22semidirect
133. #16863545C22semidirect
134. #16863545C22semidirect
135. #16863545C22semidirect
136. #16863545C22semidirect
137. #16863545C22semidirect
138. #16863545C22semidirect
139. #16863545C22semidirect
140. #16863545C22semidirect
141. #16863545C22semidirect
142. #16863544C22semidirect
143. #16863544C22semidirect
144. #16863541C22semidirect
145. #16863541C22semidirect
146. #16863540C22semidirect
147. #16863540C22semidirect
148. #16863540C22semidirect
149. #16863535C22semidirect
150. #16863532C22semidirect
151. #16863532C22semidirect
153. #16863531C22semidirect
154. #16863531C22semidirect
155. #16863530C22semidirect
156. #16863529C22semidirect
158. #16863528C22semidirect
159. #16863528C22semidirect
160. #16863506C22semidirect
161. #16863505C22semidirect
162. #16863497C22semidirect
163. #16863494C22semidirect
164. #16863481C22semidirect
165. C4×D536C22semidirect
166. D8×Dic67C22semidirect
167. #16863470C22semidirect
168. #16863468C22semidirect
169. #16863467C22semidirect
170. #16863466C22semidirect
171. C8×D268C22semidirect
172. C8×C22⋊D67C22semidirect
173. (C22⋊D67)⋊C8C22semidirect
174. #16863456C22semidirect
175. #16863455C22semidirect
176. #16863397C22semidirect
177. #16863396C22semidirect
178. C2×#14523965C22semidirect
179. C2×#14523965C22semidirect
180. C2×#14523964C22semidirect
181. #102×D67C22semidirect
182. #102×D67C22semidirect
183. #102×D67C22semidirect
184. #16863362C22semidirect
185. #16863361C22semidirect
186. C2×(C2×D67)⋊C8C22semidirect
187. C22⋊C8×D67C22semidirect
188. C2×#135×C67C22semidirect
189. C22×SD16×C67C22semidirect
190. #548×C67C22semidirect
191. #546×C67C22semidirect
192. #495×C67C22semidirect
193. #465×C67C22semidirect
194. #465×C67C22semidirect
195. #464×C67C22semidirect
196. #463×C67C22semidirect
197. #452×C67C22semidirect
198. #451×C67C22semidirect
199. #449×C67C22semidirect
200. #447×C67C22semidirect
201. C4×SD16×C67C22semidirect
202. C8×D4×C67C22semidirect
208. C2×#11761629C23semidirect
243. C2×#11761615C23semidirect
244. C2×#11761615C23semidirect
245. C2×#11761615C23semidirect
248. C2×D536C23semidirect
253. C2×#11761613C23semidirect
256. C2×#11761612C23semidirect
257. C2×#11761611C23semidirect
261. C2×C8×D67C23semidirect
262. #14524043C23semidirect
263. #14524042C23semidirect
273. #14524032C23semidirect
311. #14524019C23semidirect
324. #14524017C23semidirect
343. #14524014C23semidirect
364. Q8×Dic67C23semidirect
368. C4×D268C23semidirect
370. D4×Dic67C23semidirect
383. C2×C4⋊Dic67C23semidirect
386. C4⋊C4×D67C23semidirect
396. #14523977C23semidirect
397. #14523977C23semidirect
398. #14523977C23semidirect
399. #14523976C23semidirect
400. #14523974C23semidirect
401. #14523974C23semidirect
402. #14523974C23semidirect
403. C4⋊(C67⋊C8)C23semidirect
404. Dic67⋊C8C23semidirect
405. Dic67⋊C8C23semidirect
406. #14523967C23semidirect
407. #14523967C23semidirect
408. #14523967C23semidirect
409. #14523967C23semidirect
410. #14523967C23semidirect
417. #14523965C23semidirect
418. #14523965C23semidirect
419. #14523965C23semidirect
420. #14523965C23semidirect
427. #14523964C23semidirect
430. #14523963C23semidirect
431. #14523963C23semidirect
433. C22⋊(C67⋊C8)C23semidirect
440. (C2×D67)⋊C8C23semidirect
441. (C2×D67)⋊C8C23semidirect
442. #14523954C23semidirect
443. #14523953C23semidirect
444. C8×Dic67C23semidirect
446. C2×#41×C67C23semidirect
450. C2×Q16×C67C23semidirect
451. C2×Q16×C67C23semidirect
457. C2×SD16×C67C23semidirect
461. C22×C8×C67C23semidirect
464. #124×C67C23semidirect
468. C22⋊Q8×C67C23semidirect
474. C4×Q8×C67C23semidirect
479. #106×C67C23semidirect
480. C4⋊C8×C67C23semidirect
481. #103×C67C23semidirect
482. #103×C67C23semidirect
483. #103×C67C23semidirect
486. #102×C67C23semidirect
488. C22⋊C8×C67C23semidirect
489. C4×C8×C67C23semidirect
998. #3282D67semidirect
1018. C67#61629semidirect
1024. C2×#135C2×D67semidirect
1026. C22×SD16C2×D67semidirect
1034. #548C2×D67semidirect
1046. #546C2×D67semidirect
1075. #495C2×D67semidirect
1110. #465C2×D67semidirect
1111. #465C2×D67semidirect
1113. #464C2×D67semidirect
1119. #463C2×D67semidirect
1127. #452C2×D67semidirect
1128. #451C2×D67semidirect
1147. #449C2×D67semidirect
1159. #447C2×D67semidirect
1165. C4×SD16C2×D67semidirect
1175. C8×D4C2×D67semidirect
1201. C2×#41C22×D67semidirect
1230. C2×Q16C22×D67semidirect
1231. C2×Q16C22×D67semidirect
1245. C2×SD16C22×D67semidirect
1265. C22×C8C22×D67semidirect
1283. #124C22×D67semidirect
1322. C22⋊Q8C22×D67semidirect
1381. C4×Q8C22×D67semidirect
1424. #106C22×D67semidirect
1428. C4⋊C8C22×D67semidirect
1434. #103C22×D67semidirect
1435. #103C22×D67semidirect
1436. #103C22×D67semidirect
1460. #102C22×D67semidirect
1472. C22⋊C8C22×D67semidirect
1476. C4×C8C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225744252
#225738392
#225722972
#225722832
#225721762
#225721702
#225720352
#225720282
#225720232
#225720152
#225719092
#225718932
#225718882
#225717052
#225717042
#225716952
#225716922
#225713102
#225712962
#225710642
#225710582
#225709932
#225709752
#225703992
#225703902
#225695172
#225695092
C2×#168635452
#447×D672
#225692622
C67×#32822
#6162967