Finite Group Databasebeta

← #3224×D67 #31727178

Subgroups — #3224×D67 #31727178

Order 17152.

2278 conjugacy classes of subgroups.

The subgroup lattice has 1954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#542×D67C211yesmaximal, characteristic, complemented
2#535×D67C211yesmaximal, characteristic, complemented
3#22571310C211yesmaximal, characteristic, complemented
4#22571309C211yesmaximal, characteristic, complemented
5#22571308C211yesmaximal, characteristic, complemented
6#22571307C211yesmaximal, characteristic, complemented
7#22571306C211yesmaximal, characteristic, complemented
8#22571305C211yesmaximal, characteristic, complemented
9#22571304C211yesmaximal, characteristic, complemented
10#22571303C211yesmaximal, characteristic, complemented
11#22571302C211yesmaximal, characteristic, complemented
12#22571301C211yesmaximal, characteristic, complemented
13#22571300C211yesmaximal, characteristic, complemented
14#22571299C211yesmaximal, characteristic, complemented
15#22571298C211yesmaximal, characteristic, complemented
16#22571297C211yesmaximal, characteristic, complemented
17#22571296C211yesmaximal, characteristic, complemented
18#496×D67C211yesmaximal, characteristic, complemented
19#495×D67C211yesmaximal, characteristic, complemented
20#489×D67C211yesmaximal, characteristic, complemented
21#486×D67C211yesmaximal, characteristic, complemented
22#464×D67C211yesmaximal, characteristic, complemented
23#460×D67C211yesmaximal, characteristic, complemented
24#463×D67C211yesmaximal, characteristic, complemented
25#459×D67C211yesmaximal, characteristic, complemented
26#452×D67C211yesmaximal, characteristic, complemented
27#449×D67C211yesmaximal, characteristic, complemented
28#450×D67C211yesmaximal, characteristic, complemented
29#447×D67C211yesmaximal, characteristic, complemented
30#433×D67C211yesmaximal, characteristic, complemented
31C67×#3224C211yesmaximal, characteristic, complemented
32C2×#41×D67C2211yescharacteristic
33C22×D4×D67C2211yescharacteristic
34C2×Q16×D67C2211yescharacteristic, complemented
35C2×SD16×D67C2211yescharacteristic
36C2×SD16×D67C2211yescharacteristic
37C2×SD16×D67C2211yescharacteristic, complemented
38C2×SD16×D67C2211yescharacteristic, complemented
39C2×D8×D67C2211yescharacteristic
40C2×D8×D67C2211yescharacteristic
41C2×D8×D67C2211yescharacteristic, complemented
42#16864020C2211yescharacteristic, complemented
43#16864019C2211yescharacteristic, complemented
44#16864018C2211yescharacteristic, complemented
45#16864017C2211yescharacteristic, complemented
46#16864016—21no—
47#16864015C2211yescharacteristic, complemented
48#16864014—21no—
49#16864013C2211yescharacteristic, complemented
50#16864012—21no—
51#16864011C2211yescharacteristic, complemented
52#16864010—21no—
53#16863965C2211yescharacteristic, complemented
54#16863964C2211yescharacteristic, complemented
55#16863964C2211yescharacteristic, complemented
56#16863963C2211yescharacteristic, complemented
57#16863962—21no—
58#16863962—21no—
59#16863961—21no—
60#16863961—21no—
61#16863960C2211yescharacteristic, complemented
62#16863959C2211yescharacteristic, complemented
63#16863959C2211yescharacteristic, complemented
64C4⋊Q8×D67C2211yescharacteristic, complemented
65#127×D67C2211yescharacteristic
66#127×D67C2211yescharacteristic
67#126×D67—21no—
68#124×D67—21no—
69#124×D67C2211yescharacteristic
70#124×D67C2211yescharacteristic
71#124×D67C2211yescharacteristic, complemented
72#123×D67—21no—
73C22⋊Q8×D67—21no—
74C22⋊Q8×D67C2211yescharacteristic
75#121×D67—21no—
76#121×D67—21no—
77#121×D67C2211yescharacteristic
78#120×D67—21no—
79#120×D67—21no—
80C4×Q8×D67C2211yescharacteristic, complemented
81C4×D4×D67C2211yescharacteristic, complemented
82#117×D67C2211yescharacteristic
83#16863786C2211yescharacteristic, complemented
84#16863785C2211yescharacteristic, complemented
85#16863784C2211yescharacteristic, complemented
86#16863784C2211yescharacteristic, complemented
87#16863783C2211yescharacteristic, complemented
88#16863782C2211yescharacteristic, complemented
89#16863782C2211yescharacteristic, complemented
90#16863781C2211yescharacteristic, complemented
91#16863780C2211yescharacteristic, complemented
92#16863779C2211yescharacteristic, complemented
93#16863778C2211yescharacteristic, complemented
94#16863778C2211yescharacteristic, complemented
95#16863777C2211yescharacteristic, complemented
96#16863777C2211yescharacteristic, complemented
97#16863758C2211yescharacteristic, complemented
98#16863757C2211yescharacteristic, complemented
99#16863757C2211yescharacteristic, complemented
100#16863756C2211yescharacteristic, complemented
101#16863755C2211yescharacteristic, complemented
102#16863754C2211yescharacteristic, complemented
103#16863754C2211yescharacteristic, complemented
104#16863744C2211yescharacteristic, complemented
105#16863743C2211yescharacteristic, complemented
106#16863742C2211yescharacteristic, complemented
107#16863741C2211yescharacteristic, complemented
108#16863741C2211yescharacteristic, complemented
109#16863741C2211yescharacteristic, complemented
110#16863741C2211yescharacteristic, complemented
111#16863621C2211yescharacteristic, complemented
112#16863620C2211yescharacteristic, complemented
113#16863619C2211yescharacteristic, complemented
114#16863618C2211yescharacteristic, complemented
115#16863617C2211yescharacteristic, complemented
116#16863616C2211yescharacteristic, complemented
117#16863615C2211yescharacteristic, complemented
118#16863614C2211yescharacteristic, complemented
119#16863613C2211yescharacteristic, complemented
120#16863612C2211yescharacteristic, complemented
121#16863611C2211yescharacteristic, complemented
122#16863610C2211yescharacteristic, complemented
123#16863609C2211yescharacteristic, complemented
124#16863608C2211yescharacteristic, complemented
125#16863597C2211yescharacteristic, complemented
126#16863596C2211yescharacteristic, complemented
127#16863595C2211yescharacteristic, complemented
128#16863595C2211yescharacteristic, complemented
129#16863594C2211yescharacteristic, complemented
130#16863594C2211yescharacteristic, complemented
131#16863593C2211yescharacteristic, complemented
132#16863592C2211yescharacteristic, complemented
133#16863591C2211yescharacteristic, complemented
134#16863590C2211yescharacteristic, complemented
135#16863590C2211yescharacteristic, complemented
136#16863589C2211yescharacteristic, complemented
137#16863589C2211yescharacteristic, complemented
138#16863588C2211yescharacteristic, complemented
139#16863561C2211yescharacteristic, complemented
140#16863560C2211yescharacteristic, complemented
141#16863559C2211yescharacteristic, complemented
142#16863558C2211yescharacteristic, complemented
143#16863557C2211yescharacteristic, complemented
144#16863556C2211yescharacteristic, complemented
145#16863555C2211yescharacteristic, complemented
146#16863549C2211yescharacteristic, complemented
147#16863548C2211yescharacteristic, complemented
148#16863548C2211yescharacteristic, complemented
149#16863547C2211yescharacteristic, complemented
150#16863546C2211yescharacteristic, complemented
151#16863545C2211yescharacteristic, complemented
152#16863545C2211yescharacteristic, complemented
153#16863544C2211yescharacteristic, complemented
154#16863543C2211yescharacteristic, complemented
155#16863542C2211yescharacteristic, complemented
156#16863541C2211yescharacteristic, complemented
157#16863540C2211yescharacteristic, complemented
158#16863539C2211yescharacteristic, complemented
159#16863538C2211yescharacteristic, complemented
160#16863532C2211yescharacteristic, complemented
161#16863531C2211yescharacteristic, complemented
162#16863531C2211yescharacteristic, complemented
163#16863530C2211yescharacteristic, complemented
164#16863529C2211yescharacteristic, complemented
165#16863528C2211yescharacteristic, complemented
166#16863528C2211yescharacteristic, complemented
167#16863458C2211yescharacteristic, complemented
168#16863457C2211yescharacteristic, complemented
169#16863456C2211yescharacteristic, complemented
170#16863456C2211yescharacteristic, complemented
171#16863455C2211yescharacteristic, complemented
172#16863454C2211yescharacteristic, complemented
173#16863454C2211yescharacteristic, complemented
174C4⋊C8×D67C2211yescharacteristic, complemented
175C4⋊C8×D67C2211yescharacteristic, complemented
176#103×D67C2211yescharacteristic, complemented
177#103×D67C2211yescharacteristic, complemented
178#102×D67C2211yescharacteristic
179#102×D67C2211yescharacteristic
180#102×D67C2211yescharacteristic
181#102×D67C2211yescharacteristic
182#102×D67C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184C22⋊C8×D67C2211yescharacteristic
185C22⋊C8×D67C2211yescharacteristic
186#97×D67C2211yescharacteristic, complemented
187C4×C8×D67C2211yescharacteristic, complemented
188#542×C67C2211yescharacteristic, complemented
189#535×C67C2211yescharacteristic, complemented
190#496×C67C2211yescharacteristic, complemented
191#495×C67C2211yescharacteristic, complemented
192#489×C67C2211yescharacteristic, complemented
193#486×C67C2211yescharacteristic, complemented
194#464×C67C2211yescharacteristic, complemented
195#463×C67C2211yescharacteristic, complemented
196#460×C67C2211yescharacteristic, complemented
197#459×C67C2211yescharacteristic, complemented
198#452×C67C2211yescharacteristic, complemented
199#450×C67C2211yescharacteristic, complemented
200#449×C67C2211yescharacteristic, complemented
201#447×C67C2211yescharacteristic, complemented
202#433×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204C2×#11761629C2311yescharacteristic
205C2×#11761628—21no—
206C2×#11761628C2311yescharacteristic
207C2×#11761627—21no—
208C2×#11761627C2311yescharacteristic
209#41×D67—42no—
210#41×D67—42no—
211C2×Q8×D67—21no—
212C2×Q8×D67C2311yescharacteristic
213C2×Q8×D67C2311yescharacteristic
214C22×D268C2311yescharacteristic
215C22×C22⋊D67—21no—
216C2×D4×D67—21no—
217C2×D4×D67—21no—
218C2×D4×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—42no—
225C2×D4×D67—42no—
226C2×D4×D67C2311yescharacteristic
227C2×D4×D67C2311yescharacteristic
228C2×D4×D67C2311yescharacteristic
229C2×D4×D67C2311yescharacteristic
230C2×D4×D67C2311yescharacteristic
231C2×D4×D67C2311yescharacteristic
232C22×C4×D67—21no—
233C22×C4×D67—21no—
234C22×C4×D67C2311yescharacteristic
235C2×Dic268C2311yescharacteristic, complemented
236C2×#11761618C2311yescharacteristic, complemented
237C2×#11761618C2311yescharacteristic, complemented
238Q16×D67—42no—
239C2×#11761617C2311yescharacteristic
240C2×#11761617C2311yescharacteristic
241C2×#11761617C2311yescharacteristic, complemented
242C2×#11761617C2311yescharacteristic, complemented
243C2×#11761616C2311yescharacteristic
244C2×#11761616C2311yescharacteristic
245C2×#11761616C2311yescharacteristic, complemented
246C2×#11761616C2311yescharacteristic, complemented
247C2×#11761615C2311yescharacteristic
248C2×#11761615C2311yescharacteristic
249C2×#11761615C2311yescharacteristic, complemented
250C2×#11761615C2311yescharacteristic, complemented
251SD16×D67—42no—
252SD16×D67—42no—
253SD16×D67—42no—
254SD16×D67—42no—
255C2×D536C2311yescharacteristic
256C2×D536C2311yescharacteristic
257C2×D536C2311yescharacteristic, complemented
258C2×#11761613C2311yescharacteristic
259C2×#11761613C2311yescharacteristic
260C2×#11761613C2311yescharacteristic
261C2×#11761613C2311yescharacteristic
262C2×#11761613C2311yescharacteristic, complemented
263C2×#11761613C2311yescharacteristic, complemented
264D8×D67—42no—
265D8×D67—42no—
266D8×D67—42no—
267C2×C8×D67C2311yescharacteristic
268C2×C8×D67C2311yescharacteristic
269C2×C8×D67C2311yescharacteristic
270C2×C8×D67C2311yescharacteristic
271#14524043C2311yescharacteristic, complemented
272#14524042—21no—
273#14524042C2311yescharacteristic, complemented
274#14524042C2311yescharacteristic, complemented
275#14524041—21no—
276#14524040C2311yescharacteristic
277#14524040C2311yescharacteristic
278#14524039—21no—
279#14524039—21no—
280#14524039—21no—
281#14524039—21no—
282#14524039C2311yescharacteristic
283#14524039C2311yescharacteristic
284#14524039C2311yescharacteristic
285#14524039C2311yescharacteristic
286#14524038—21no—
287#14524038—21no—
288#14524038—21no—
289#14524037—21no—
290#14524036—21no—
291#14524036—21no—
292#14524036—21no—
293#14524032—21no—
294#14524032C2311yescharacteristic
295#14524032C2311yescharacteristic
296#14524032C2311yescharacteristic, complemented
297#14524031—21no—
298#14524031C2311yescharacteristic
299#14524031C2311yescharacteristic
300#14524031C2311yescharacteristic, complemented
301#14524030—21no—
302#14524030C2311yescharacteristic
303#14524030C2311yescharacteristic
304#14524030C2311yescharacteristic, complemented
305#14524029—21no—
306#14524029—21no—
307#14524029—21no—
308#14524029—21no—
309#14524029—21no—
310#14524029—21no—
311#14524029—21no—
312#14524029—21no—
313#14524029—21no—
314#14524029—21no—
315#14524028—21no—
316#14524028—21no—
317#14524027—21no—
318#14524026—21no—
319#14524025—21no—
320#14524025—21no—
321#14524024—21no—
322#14524023—21no—
323#14524023C2311yescharacteristic
324#14524022—21no—
325#14524022C2311yescharacteristic
326#14524021—21no—
327#14524021—21no—
328#14524021—21no—
329#14524020—21no—
330#14524020—21no—
331#14524020—21no—
332#14524019—21no—
333#14524019C2311yescharacteristic
334#14524018—21no—
335#14524018—21no—
336#14524018C2311yescharacteristic
337#14524017—21no—
338#14524017—21no—
339#14524017C2311yescharacteristic
340#14524016—21no—
341#14524016—21no—
342#14524016—21no—
343#14524016—21no—
344#14524016—21no—
345#14524015—21no—
346#14524015—21no—
347#14524015—21no—
348#14524015—21no—
349#14524015—21no—
350#14524014—21no—
351#14524014—21no—
352#14524014C2311yescharacteristic
353#14524013—21no—
354#14524013—21no—
355#14524013—21no—
356#14524013—21no—
357#14524013—21no—
358#14524013—21no—
359#14524012—21no—
360#14524012—21no—
361#14524011—21no—
362#14524011—21no—
363#14524011—21no—
364#14524011—21no—
365#14524011—21no—
366#14524011—21no—
367Q8×Dic67C2311yescharacteristic, complemented
368C4×Dic134—21no—
369C4×Dic134C2311yescharacteristic, complemented
370#14524008—21no—
371#14524008C2311yescharacteristic, complemented
372C4×D268C2311yescharacteristic, complemented
373D4×Dic67C2311yescharacteristic, complemented
374#14524005C2311yescharacteristic, complemented
375C4×C22⋊D67—21no—
376(C22⋊D67)⋊C4—21no—
377#14524002C2311yescharacteristic
378#14524001D411yescharacteristic
379#14524001D411yescharacteristic
380#14524000C2311yescharacteristic
381#14524000C2311yescharacteristic
382#14523999D411yescharacteristic
383#14523999D411yescharacteristic
384C4⋊C4×D67—21no—
385C4⋊C4×D67—21no—
386C4⋊C4×D67—21no—
387C4⋊C4×D67D411yescharacteristic
388C4⋊C4×D67D411yescharacteristic
389C4⋊C4×D67C2311yescharacteristic
390C4⋊C4×D67C2311yescharacteristic
391C22⋊C4×D67—21no—
392C22⋊C4×D67—21no—
393C22⋊C4×D67—21no—
394C22⋊C4×D67—21no—
395C22⋊C4×D67—21no—
396C22⋊C4×D67—21no—
397C22⋊C4×D67—21no—
398C22⋊C4×D67—21no—
399C22⋊C4×D67—21no—
400C22⋊C4×D67D411yescharacteristic
401C22⋊C4×D67D411yescharacteristic
402C42×D67—21no—
403C42×D67C2311yescharacteristic
404C42×D67C2311yescharacteristic
405C4⋊(C67⋊C8)C2311yescharacteristic, complemented
406C4⋊(C67⋊C8)C2311yescharacteristic, complemented
407Dic67⋊C8C2311yescharacteristic, complemented
408Dic67⋊C8C2311yescharacteristic, complemented
409Dic67⋊C8C2311yescharacteristic, complemented
410Dic67⋊C8C2311yescharacteristic, complemented
411#14523968C2311yescharacteristic, complemented
412#14523968C2311yescharacteristic, complemented
413#14523967C2311yescharacteristic, complemented
414#14523967C2311yescharacteristic, complemented
415#14523966C2311yescharacteristic, complemented
416#14523966C2311yescharacteristic, complemented
417#14523965C2311yescharacteristic
418#14523965C2311yescharacteristic
419#14523965C2311yescharacteristic
420#14523965C2311yescharacteristic
421#14523965C2311yescharacteristic, complemented
422#14523965C2311yescharacteristic, complemented
423#14523964C2311yescharacteristic
424#14523964C2311yescharacteristic
425#14523964C2311yescharacteristic
426#14523964C2311yescharacteristic
427#14523964C2311yescharacteristic, complemented
428#14523964C2311yescharacteristic, complemented
429#14523963C2311yescharacteristic
430#14523963C2311yescharacteristic
431#14523963C2311yescharacteristic
432#14523963C2311yescharacteristic
433#14523963C2311yescharacteristic, complemented
434#14523963C2311yescharacteristic, complemented
435C22⋊(C67⋊C8)C2311yescharacteristic
436C22⋊(C67⋊C8)C2311yescharacteristic
437(C2×D67)⋊C8C2311yescharacteristic
438(C2×D67)⋊C8C2311yescharacteristic
439(C2×D67)⋊C8C2311yescharacteristic
440(C2×D67)⋊C8C2311yescharacteristic
441#14523954C2311yescharacteristic, complemented
442#14523953C2311yescharacteristic, complemented
443#14523953C2311yescharacteristic, complemented
444C4×C67⋊C8C2311yescharacteristic, complemented
445C8×Dic67C2311yescharacteristic, complemented
446C8×Dic67C2311yescharacteristic, complemented
447C2×#41×C67C2311yescharacteristic
448C22×D4×C67C2311yescharacteristic
449C2×Q16×C67C2311yescharacteristic, complemented
450C2×SD16×C67C2311yescharacteristic
451C2×SD16×C67C2311yescharacteristic
452C2×SD16×C67C2311yescharacteristic, complemented
453C2×SD16×C67C2311yescharacteristic, complemented
454C2×D8×C67C2311yescharacteristic
455C2×D8×C67C2311yescharacteristic
456C2×D8×C67C2311yescharacteristic, complemented
457C4⋊Q8×C67C2311yescharacteristic, complemented
458#127×C67C2311yescharacteristic
459#127×C67C2311yescharacteristic
460#126×C67—21no—
461#124×C67—21no—
462#124×C67C2311yescharacteristic
463#124×C67C2311yescharacteristic
464#124×C67C2311yescharacteristic, complemented
465#123×C67—21no—
466C22⋊Q8×C67—21no—
467C22⋊Q8×C67C2311yescharacteristic
468#121×C67—21no—
469#121×C67—21no—
470#121×C67C2311yescharacteristic
471#120×C67—21no—
472#120×C67—21no—
473C4×Q8×C67C2311yescharacteristic, complemented
474C4×D4×C67C2311yescharacteristic, complemented
475#117×C67C2311yescharacteristic
476C4⋊C8×C67C2311yescharacteristic, complemented
477C4⋊C8×C67C2311yescharacteristic, complemented
478#103×C67C2311yescharacteristic, complemented
479#103×C67C2311yescharacteristic, complemented
480#102×C67C2311yescharacteristic
481#102×C67C2311yescharacteristic
482#102×C67C2311yescharacteristic
483#102×C67C2311yescharacteristic
484#102×C67C2311yescharacteristic, complemented
485#102×C67C2311yescharacteristic, complemented
486C22⋊C8×C67C2311yescharacteristic
487C22⋊C8×C67C2311yescharacteristic
488#97×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—44no—
498C23×D67—82no—
499C23×D67—82no—
500C23×D67C2×D411yescharacteristic
501#11761629—41no—
502#11761629—41no—
503#11761628—41no—
504#11761628—41no—
505#11761628—44no—
506#11761627—41no—
507#11761627—41no—
508#11761627—44no—
509C2×Dic134—21no—
510C2×Dic134—21no—
511C2×Dic134—21no—
512C2×Dic134—21no—
513C2×Dic134—21no—
514C2×Dic134C2411yescharacteristic
515C2×Dic134C2411yescharacteristic
516Q8×D67—22no—
517Q8×D67—22no—
518Q8×D67—22no—
519Q8×D67—22no—
520Q8×D67—82no—
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×D268C2411yescharacteristic
531C2×D268C2411yescharacteristic
532C2×D268C2411yescharacteristic
533C2×D268C2411yescharacteristic
534C2×C22⋊D67—21no—
535C2×C22⋊D67—21no—
536C2×C22⋊D67—21no—
537C2×C22⋊D67—21no—
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—44no—
553D4×D67—22no—
554D4×D67—22no—
555D4×D67—22no—
556D4×D67—22no—
557D4×D67—22no—
558D4×D67—22no—
559D4×D67—22no—
560D4×D67—22no—
561D4×D67—41no—
562D4×D67—41no—
563D4×D67—41no—
564D4×D67—41no—
565D4×D67—44no—
566D4×D67—44no—
567D4×D67—44no—
568D4×D67—82no—
569D4×D67—82no—
570D4×D67—82no—
571D4×D67—82no—
572D4×D67—82no—
573C22×Dic67—21no—
574C22×Dic67—21no—
575C22×Dic67C2×D411yescharacteristic
576C2×C4×D67—22no—
577C2×C4×D67—22no—
578C2×C4×D67—21no—
579C2×C4×D67—21no—
580C2×C4×D67—21no—
581C2×C4×D67—21no—
582C2×C4×D67—21no—
583C2×C4×D67—21no—
584C2×C4×D67—21no—
585C2×C4×D67—21no—
586C2×C4×D67—44no—
587C2×C4×D67—82no—
588C2×C4×D67C2×D411yescharacteristic
589C2×C4×D67C2×D411yescharacteristic
590C2×C4×D67C2×D411yescharacteristic
591C2×C4×D67C2×D411yescharacteristic
592C2×C4×D67C2×D411yescharacteristic
593C2×C4×D67C2×D411yescharacteristic
594C2×C4×D67C2411yescharacteristic
595C2×C4×D67C2411yescharacteristic
596Dic268—41no—
597#11761618—41no—
598#11761618—41no—
599#11761617—41no—
600#11761617—41no—
601#11761617—41no—
602#11761617—41no—
603#11761616—41no—
604#11761616—41no—
605#11761616—41no—
606#11761616—41no—
607#11761615—41no—
608#11761615—41no—
609#11761615—41no—
610#11761615—41no—
611D536—41no—
612D536—41no—
613D536—41no—
614#11761613—41no—
615#11761613—41no—
616#11761613—41no—
617#11761613—41no—
618#11761613—41no—
619#11761613—41no—
620C2×C67⋊C8C2411yescharacteristic
621C2×C67⋊C8C2411yescharacteristic
622C2×C67⋊C8C2411yescharacteristic
623C2×C67⋊C8C2411yescharacteristic
624C8×D67—22no—
625C8×D67—22no—
626C8×D67—22no—
627C8×D67—22no—
628C4⋊Dic67—21no—
629C4⋊Dic67—21no—
630C4⋊Dic67—21no—
631C4⋊Dic67C2×D411yescharacteristic
632C4⋊Dic67C2×D411yescharacteristic
633C4⋊Dic67C2411yescharacteristic
634C4⋊Dic67C2411yescharacteristic
635Dic67⋊C4—21no—
636Dic67⋊C4—21no—
637Dic67⋊C4—21no—
638Dic67⋊C4—21no—
639Dic67⋊C4—21no—
640Dic67⋊C4—21no—
641Dic67⋊C4—21no—
642Dic67⋊C4—21no—
643Dic67⋊C4C2×D411yescharacteristic
644Dic67⋊C4C2×D411yescharacteristic
645Dic67⋊C4C2×D411yescharacteristic
646Dic67⋊C4C2×D411yescharacteristic
647C22⋊Dic67—21no—
648C22⋊Dic67—21no—
649C22⋊Dic67—21no—
650C22⋊Dic67—21no—
651C22⋊Dic67—21no—
652C22⋊Dic67—21no—
653C22⋊Dic67—21no—
654C22⋊Dic67—21no—
655C22⋊Dic67—21no—
656C22⋊Dic67C2×D411yescharacteristic
657C22⋊Dic67C2×D411yescharacteristic
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)⋊C4—21no—
674(C2×D67)⋊C4—21no—
675(C2×D67)⋊C4—21no—
676(C2×D67)⋊C4C2×D411yescharacteristic
677(C2×D67)⋊C4C2×D411yescharacteristic
678(C2×D67)⋊C4C2×D411yescharacteristic
679(C2×D67)⋊C4C2×D411yescharacteristic
680C4×Dic67—21no—
681C4×Dic67—21no—
682C4×Dic67—21no—
683C4×Dic67C2×D411yescharacteristic
684C4×Dic67C2×D411yescharacteristic
685C4×Dic67C2×D411yescharacteristic
686C4×Dic67C2×D411yescharacteristic
687C4×Dic67C2411yescharacteristic
688C4×Dic67C2411yescharacteristic
689C24×C67—21no—
690#41×C67—41no—
691#41×C67—41no—
692C2×Q8×C67—21no—
693C2×Q8×C67C2411yescharacteristic
694C2×Q8×C67C2411yescharacteristic
695C2×D4×C67—21no—
696C2×D4×C67—21no—
697C2×D4×C67—21no—
698C2×D4×C67—21no—
699C2×D4×C67—21no—
700C2×D4×C67—21no—
701C2×D4×C67—21no—
702C2×D4×C67—41no—
703C2×D4×C67—41no—
704C2×D4×C67C2411yescharacteristic
705C2×D4×C67C2411yescharacteristic
706C2×D4×C67C2411yescharacteristic
707C2×D4×C67C2411yescharacteristic
708C22×C4×C67—21no—
709C22×C4×C67—21no—
710C22×C4×C67C2411yescharacteristic
711Q16×C67—41no—
712SD16×C67—41no—
713SD16×C67—41no—
714SD16×C67—41no—
715SD16×C67—41no—
716D8×C67—41no—
717D8×C67—41no—
718D8×C67—41no—
719C2×C8×C67C2411yescharacteristic
720C2×C8×C67C2411yescharacteristic
721C2×C8×C67C2411yescharacteristic
722C2×C8×C67C2411yescharacteristic
723C4⋊C4×C67—21no—
724C4⋊C4×C67—21no—
725C4⋊C4×C67—21no—
726C4⋊C4×C67C2×D411yescharacteristic
727C4⋊C4×C67C2×D411yescharacteristic
728C4⋊C4×C67C2411yescharacteristic
729C4⋊C4×C67C2411yescharacteristic
730C22⋊C4×C67—21no—
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×C67C2×D411yescharacteristic
740C22⋊C4×C67C2×D411yescharacteristic
741C42×C67—21no—
742C42×C67C2411yescharacteristic
743C42×C67C2411yescharacteristic
744C23×C67—21no—
745C23×C67—21no—
746C23×C67—21no—
747C23×C67—21no—
748C23×C67—42no—
749C23×C67—81no—
750C23×C67—81no—
751C23×C67C22×D411yescharacteristic
752C22×D67—22no—
753C22×D67—22no—
754C22×D67—22no—
755C22×D67—21no—
756C22×D67—21no—
757C22×D67—21no—
758C22×D67—21no—
759C22×D67—42no—
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—42no—
771C22×D67—42no—
772C22×D67—42no—
773C22×D67—42no—
774C22×D67—81no—
775C22×D67—81no—
776C22×D67—81no—
777C22×D67—81no—
778C22×D67—81no—
779C22×D67—81no—
780C22×D67—816no—
781C22×D67C22×D411yescharacteristic
782C22×D67C22×D411yescharacteristic
783Q8×C67—21no—
784Q8×C67—21no—
785Q8×C67—21no—
786Q8×C67—21no—
787Q8×C67—81no—
788D4×C67—21no—
789D4×C67—21no—
790D4×C67—21no—
791D4×C67—21no—
792D4×C67—21no—
793D4×C67—21no—
794D4×C67—21no—
795D4×C67—21no—
796D4×C67—42no—
797D4×C67—42no—
798D4×C67—81no—
799D4×C67—81no—
800D4×C67—81no—
801D4×C67—81no—
802D4×C67—81no—
803C2×C4×C67—21no—
804C2×C4×C67—21no—
805C2×C4×C67—21no—
806C2×C4×C67—21no—
807C2×C4×C67—21no—
808C2×C4×C67—21no—
809C2×C4×C67—42no—
810C2×C4×C67—81no—
811C2×C4×C67C22×D411yescharacteristic
812C2×C4×C67C22×D411yescharacteristic
813C2×C4×C67C22×D411yescharacteristic
814C2×C4×C67C22×D411yescharacteristic
815C2×C4×C67C22×D411yescharacteristic
816C2×C4×C67C2511yescharacteristic
817C22⋊D67—42no—
818C22⋊D67—42no—
819C22⋊D67—42no—
820C22⋊D67—42no—
821C22⋊D67—42no—
822C22⋊D67—42no—
823C22⋊D67—42no—
824C22⋊D67—42no—
825C22⋊D67—81no—
826C22⋊D67—81no—
827C22⋊D67—81no—
828C22⋊D67—81no—
829C22⋊D67—81no—
830C22⋊D67—81no—
831C22⋊D67—81no—
832C22⋊D67—81no—
833C22⋊D67—81no—
834C22⋊D67—81no—
835C2×Dic67—22no—
836C2×Dic67—21no—
837C2×Dic67—21no—
838C2×Dic67—21no—
839C2×Dic67—21no—
840C2×Dic67—42no—
841C2×Dic67—81no—
842C2×Dic67C22×D411yescharacteristic
843C2×Dic67C22×D411yescharacteristic
844C2×Dic67C22×D411yescharacteristic
845C2×Dic67C22×D411yescharacteristic
846C2×Dic67C22×D411yescharacteristic
847C2×Dic67C22×D411yescharacteristic
848D268—21no—
849D268—21no—
850D268—21no—
851D268—21no—
852D268—21no—
853D268—21no—
854D268—21no—
855D268—21no—
856D268—42no—
857D268—42no—
858D268—81no—
859D268—81no—
860D268—81no—
861D268—81no—
862D268—81no—
863C4×D67—22no—
864C4×D67—22no—
865C4×D67—22no—
866C4×D67—22no—
867C4×D67—22no—
868C4×D67—21no—
869C4×D67—21no—
870C4×D67—22no—
871C4×D67—42no—
872C4×D67—42no—
873C4×D67—42no—
874C4×D67—42no—
875C4×D67—42no—
876C4×D67—42no—
877C4×D67—81no—
878C4×D67—81no—
879C4×D67H(5,𝔽2)12yes—
880C4×D67H(5,𝔽2)12yes—
881Dic134—21no—
882Dic134—21no—
883Dic134—21no—
884Dic134—21no—
885Dic134—42no—
886Dic134—42no—
887Dic134—81no—
888Dic134—81no—
889Dic134—81no—
890C8×C67—21no—
891C8×C67—21no—
892C8×C67—21no—
893C8×C67—21no—
894C67⋊C8—21no—
895C67⋊C8—21no—
896C67⋊C8—21no—
897C67⋊C8—21no—
898C22×C67—21no—
899C22×C67—21no—
900C22×C67—21no—
901C22×C67—41no—
902C22×C67—41no—
903C22×C67—41no—
904C22×C67—41no—
905C22×C67—41no—
906C22×C67—41no—
907C22×C67—41no—
908C22×C67—41no—
909C22×C67—41no—
910C22×C67—41no—
911C22×C67—41no—
912C22×C67—41no—
913C22×C67—84no—
914C22×C67C23×D411yescharacteristic
915C2×D67—21no—
916C2×D67—21no—
917C2×D67—21no—
918C2×D67—44no—
919C2×D67—41no—
920C2×D67—41no—
921C2×D67—41no—
922C2×D67—41no—
923C2×D67—41no—
924C2×D67—41no—
925C2×D67—41no—
926C2×D67—41no—
927C2×D67—41no—
928C2×D67—41no—
929C2×D67—41no—
930C2×D67—41no—
931C2×D67—84no—
932C2×D67—84no—
933C2×D67—84no—
934C2×D67—84no—
935C2×D67—84no—
936C2×D67—84no—
937C2×D67—84no—
938C2×D67#53512yes—
939C2×D67#57612yes—
940C2×D67#57712yes—
941C4×C67—21no—
942C4×C67—21no—
943C4×C67—21no—
944C4×C67—21no—
945C4×C67—21no—
946C4×C67—41no—
947C4×C67—41no—
948C4×C67—41no—
949C4×C67—41no—
950C4×C67C2×H(5,𝔽2)11yescharacteristic
951C4×C67C2×H(5,𝔽2)11yescharacteristic
952Dic67—21no—
953Dic67—21no—
954Dic67—21no—
955Dic67—21no—
956Dic67—21no—
957Dic67—41no—
958Dic67—41no—
959Dic67—41no—
960Dic67—41no—
961Dic67#53512yes—
962C2×#3224—671nomaximal, Sylow
963C2×C67—41no—
964C2×C67—81no—
965C2×C67—81no—
966C2×C67—81no—
967C2×C67—81no—
968C2×C67C2×#53511yescharacteristic
969C2×C67C2×#57611yescharacteristic
970C2×C67C2×#57711yescharacteristic
971D67—41no—
972D67—81no—
973D67—81no—
974D67—81no—
975D67—81no—
976D67#322414yesdirect product factor
977C2×#542—671no—
978C2×#535—671no—
979#3224—671no—
980#3224—671no—
981#3224—671no—
982#3224—671no—
983#3224—671no—
984#3224—671no—
985#3224—671no—
986#3224—671no—
987#3224—671no—
988#3224—671no—
989#3224—671no—
990#3224—671no—
991#3224—671no—
992#3224—671no—
993#3224—671no—
994#3224D6711yescharacteristic, direct product factor
995C2×#496—671no—
996C2×#495—671no—
997C2×#489—671no—
998C2×#486—671no—
999C2×#464—671no—
1000C2×#460—671no—
1001C2×#463—671no—
1002C2×#459—671no—
1003C2×#452—671no—
1004C2×#449—671no—
1005C2×#450—671no—
1006C2×#447—671no—
1007C2×#433—671no—
1008C67C2×#322411yescharacteristic, complemented, Sylow
1009C22×#41—671no—
1010C23×D4—671no—
1011C22×Q16—671no—
1012C22×SD16—671no—
1013C22×SD16—671no—
1014C22×SD16—671no—
1015C22×SD16—671no—
1016C22×D8—671no—
1017C22×D8—671no—
1018C22×D8—671no—
1019#542—671no—
1020#542—671no—
1021#542—671no—
1022#542—671no—
1023#542—671no—
1024#542—671no—
1025#542—671no—
1026#542—1341no—
1027#542—1341no—
1028#542—1341no—
1029#542—1341no—
1030#542C2×D6711yescharacteristic, complemented
1031#535—671no—
1032#535—671no—
1033#535—671no—
1034#535—671no—
1035#535—671no—
1036#535—671no—
1037#535—671no—
1038#535—1341no—
1039#535—1341no—
1040#535—1341no—
1041#535—1341no—
1042#535C2×D6711yescharacteristic, complemented
1043C2×C4⋊Q8—671no—
1044C2×#127—671no—
1045C2×#127—671no—
1046C2×#126—1341no—
1047C2×#124—671no—
1048C2×#124—671no—
1049C2×#124—671no—
1050C2×#124—1341no—
1051C2×#123—1341no—
1052C2×C22⋊Q8—671no—
1053C2×C22⋊Q8—1341no—
1054C2×#121—671no—
1055C2×#121—1341no—
1056C2×#121—1341no—
1057C2×#120—1341no—
1058C2×#120—1341no—
1059C2×C4×Q8—671no—
1060C2×C4×D4—671no—
1061C2×#117—671no—
1062#496—671no—
1063#496—671no—
1064#496—671no—
1065#496—671no—
1066#496—671no—
1067#496—671no—
1068#496—671no—
1069#496C2×D6711yescharacteristic, complemented
1070#495—671no—
1071#495—671no—
1072#495—671no—
1073#495—671no—
1074#495—671no—
1075#495—671no—
1076#495—671no—
1077#495C2×D6711yescharacteristic, complemented
1078#489—671no—
1079#489—671no—
1080#489—671no—
1081#489—671no—
1082#489—671no—
1083#489—671no—
1084#489—671no—
1085#489C2×D6711yescharacteristic, complemented
1086#486—671no—
1087#486—671no—
1088#486—671no—
1089#486—671no—
1090#486—671no—
1091#486—671no—
1092#486—671no—
1093#486C2×D6711yescharacteristic, complemented
1094#464—671no—
1095#464—671no—
1096#464—671no—
1097#464—671no—
1098#464—671no—
1099#464—671no—
1100#464—671no—
1101#464C2×D6711yescharacteristic, complemented
1102#463—671no—
1103#463—671no—
1104#463—671no—
1105#463—671no—
1106#463—671no—
1107#463—671no—
1108#463—671no—
1109#463C2×D6711yescharacteristic, complemented
1110#460—671no—
1111#460—671no—
1112#460—671no—
1113#460—671no—
1114#460—671no—
1115#460—671no—
1116#460—671no—
1117#460C2×D6711yescharacteristic, complemented
1118#459—671no—
1119#459—671no—
1120#459—671no—
1121#459—671no—
1122#459—671no—
1123#459—671no—
1124#459—671no—
1125#459C2×D6711yescharacteristic, complemented
1126#452—671no—
1127#452—671no—
1128#452—671no—
1129#452—671no—
1130#452—671no—
1131#452—671no—
1132#452—671no—
1133#452C2×D6711yescharacteristic, complemented
1134#450—671no—
1135#450—671no—
1136#450—671no—
1137#450—671no—
1138#450—671no—
1139#450—671no—
1140#450—671no—
1141#450C2×D6711yescharacteristic, complemented
1142#449—671no—
1143#449—671no—
1144#449—671no—
1145#449—671no—
1146#449—671no—
1147#449—671no—
1148#449—671no—
1149#449C2×D6711yescharacteristic, complemented
1150#447—671no—
1151#447—671no—
1152#447—671no—
1153#447—671no—
1154#447—671no—
1155#447—671no—
1156#447—671no—
1157#447C2×D6711yescharacteristic, complemented
1158#433—671no—
1159#433—671no—
1160#433—671no—
1161#433—671no—
1162#433—671no—
1163#433—671no—
1164#433—671no—
1165#433C2×D6711yescharacteristic, complemented
1166C2×C4⋊C8—671no—
1167C2×C4⋊C8—671no—
1168C2×#103—671no—
1169C2×#103—671no—
1170C2×#102—671no—
1171C2×#102—671no—
1172C2×#102—671no—
1173C2×#102—671no—
1174C2×#102—671no—
1175C2×#102—671no—
1176C2×C22⋊C8—671no—
1177C2×C22⋊C8—671no—
1178C2×#97—671no—
1179C2×C4×C8—671no—
1180C25—1341no—
1181C2×#41—2682no—
1182C2×#41—2682no—
1183C2×#41—671no—
1184C2×#41—671no—
1185C2×#41—671no—
1186C2×#41—1341no—
1187C2×#41—1341no—
1188C2×#41C22×D6711yescharacteristic
1189C22×Q8—671no—
1190C22×Q8—671no—
1191C22×Q8—1341no—
1192C22×D4—2682no—
1193C22×D4—2682no—
1194C22×D4—671no—
1195C22×D4—671no—
1196C22×D4—671no—
1197C22×D4—671no—
1198C22×D4—671no—
1199C22×D4—671no—
1200C22×D4—671no—
1201C22×D4—1341no—
1202C22×D4—1341no—
1203C22×D4—1341no—
1204C22×D4—1341no—
1205C22×D4—1341no—
1206C22×D4—1341no—
1207C22×D4—1341no—
1208C22×D4—1341no—
1209C22×D4—1341no—
1210C22×D4C22×D6711yescharacteristic
1211C23×C4—671no—
1212C23×C4—1341no—
1213C23×C4—1341no—
1214C2×Q16—2682no—
1215C2×Q16—671no—
1216C2×Q16—671no—
1217C2×Q16—671no—
1218C2×Q16C22×D6711yescharacteristic, complemented
1219C2×SD16—2682no—
1220C2×SD16—2682no—
1221C2×SD16—2682no—
1222C2×SD16—2682no—
1223C2×SD16—671no—
1224C2×SD16—671no—
1225C2×SD16—671no—
1226C2×SD16—671no—
1227C2×SD16—671no—
1228C2×SD16—671no—
1229C2×SD16—671no—
1230C2×SD16—671no—
1231C2×SD16—671no—
1232C2×SD16—671no—
1233C2×SD16—671no—
1234C2×SD16—671no—
1235C2×SD16C22×D6711yescharacteristic
1236C2×SD16C22×D6711yescharacteristic
1237C2×SD16C22×D6711yescharacteristic, complemented
1238C2×SD16C22×D6711yescharacteristic, complemented
1239C2×D8—2682no—
1240C2×D8—2682no—
1241C2×D8—2682no—
1242C2×D8—671no—
1243C2×D8—671no—
1244C2×D8—671no—
1245C2×D8—671no—
1246C2×D8—671no—
1247C2×D8—671no—
1248C2×D8—671no—
1249C2×D8—671no—
1250C2×D8—671no—
1251C2×D8C22×D6711yescharacteristic
1252C2×D8C22×D6711yescharacteristic
1253C2×D8C22×D6711yescharacteristic, complemented
1254C22×C8—671no—
1255C22×C8—671no—
1256C22×C8—671no—
1257C22×C8—671no—
1258C4⋊Q8—671no—
1259C4⋊Q8—671no—
1260C4⋊Q8—671no—
1261C4⋊Q8—1341no—
1262C4⋊Q8—1341no—
1263C4⋊Q8C22×D6711yescharacteristic, complemented
1264#127—671no—
1265#127—671no—
1266#127—671no—
1267#127—671no—
1268#127—671no—
1269#127—671no—
1270#127—1341no—
1271#127—1341no—
1272#127—1341no—
1273#127—1341no—
1274#127C22×D6711yescharacteristic
1275#127C22×D6711yescharacteristic
1276#126—21no—
1277#126—1341no—
1278#126—1341no—
1279#126—1341no—
1280#126—1341no—
1281#126—1341no—
1282#126—1341no—
1283#126—1341no—
1284#124—21no—
1285#124—671no—
1286#124—671no—
1287#124—671no—
1288#124—671no—
1289#124—671no—
1290#124—671no—
1291#124—671no—
1292#124—671no—
1293#124—671no—
1294#124—1341no—
1295#124—1341no—
1296#124—1341no—
1297#124—1341no—
1298#124—1341no—
1299#124—1341no—
1300#124—1341no—
1301#124—1341no—
1302#124—1341no—
1303#124—1341no—
1304#124—1341no—
1305#124—1341no—
1306#124—1341no—
1307#124C22×D6711yescharacteristic
1308#124C22×D6711yescharacteristic
1309#124C22×D6711yescharacteristic, complemented
1310#123—21no—
1311#123—1341no—
1312#123—1341no—
1313#123—1341no—
1314#123—1341no—
1315#123—1341no—
1316#123—1341no—
1317#123—1341no—
1318C22⋊Q8—21no—
1319C22⋊Q8—671no—
1320C22⋊Q8—671no—
1321C22⋊Q8—671no—
1322C22⋊Q8—1341no—
1323C22⋊Q8—1341no—
1324C22⋊Q8—1341no—
1325C22⋊Q8—1341no—
1326C22⋊Q8—1341no—
1327C22⋊Q8—1341no—
1328C22⋊Q8—1341no—
1329C22⋊Q8—1341no—
1330C22⋊Q8—1341no—
1331C22⋊Q8C22×D6711yescharacteristic
1332#121—21no—
1333#121—21no—
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#121C22×D6711yescharacteristic
1354#120—21no—
1355#120—21no—
1356#120—1341no—
1357#120—1341no—
1358#120—1341no—
1359#120—1341no—
1360#120—1341no—
1361#120—1341no—
1362#120—1341no—
1363#120—1341no—
1364#120—1341no—
1365#120—1341no—
1366#120—1341no—
1367#120—1341no—
1368#120—1341no—
1369#120—1341no—
1370C4×Q8—671no—
1371C4×Q8—671no—
1372C4×Q8—671no—
1373C4×Q8—1341no—
1374C4×Q8—1341no—
1375C4×Q8C22×D6711yescharacteristic, complemented
1376C4×D4—671no—
1377C4×D4—671no—
1378C4×D4—671no—
1379C4×D4—1341no—
1380C4×D4—1341no—
1381C4×D4C22×D6711yescharacteristic, complemented
1382#117—671no—
1383#117—671no—
1384#117—671no—
1385#117—671no—
1386#117—671no—
1387#117—671no—
1388#117—671no—
1389#117C22×D6711yescharacteristic
1390C2×C4⋊C4—671no—
1391C2×C4⋊C4—671no—
1392C2×C4⋊C4—671no—
1393C2×C4⋊C4—671no—
1394C2×C4⋊C4—1341no—
1395C2×C4⋊C4—1341no—
1396C2×C4⋊C4—1341no—
1397C2×C22⋊C4—671no—
1398C2×C22⋊C4—671no—
1399C2×C22⋊C4—1341no—
1400C2×C22⋊C4—1341no—
1401C2×C22⋊C4—1341no—
1402C2×C22⋊C4—1341no—
1403C2×C22⋊C4—1341no—
1404C2×C22⋊C4—1341no—
1405C2×C22⋊C4—1341no—
1406C2×C22⋊C4—1341no—
1407C2×C22⋊C4—1341no—
1408C2×C42—671no—
1409C2×C42—671no—
1410C2×C42—1341no—
1411C4⋊C8—671no—
1412C4⋊C8—671no—
1413C4⋊C8—671no—
1414C4⋊C8—671no—
1415C4⋊C8—671no—
1416C4⋊C8—671no—
1417C4⋊C8C22×D6711yescharacteristic, complemented
1418C4⋊C8C22×D6711yescharacteristic, complemented
1419#103—671no—
1420#103—671no—
1421#103—671no—
1422#103—671no—
1423#103—671no—
1424#103—671no—
1425#103C22×D6711yescharacteristic, complemented
1426#103C22×D6711yescharacteristic, complemented
1427#102—671no—
1428#102—671no—
1429#102—671no—
1430#102—671no—
1431#102—671no—
1432#102—671no—
1433#102—671no—
1434#102—671no—
1435#102—671no—
1436#102—671no—
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#102C22×D6711yescharacteristic
1446#102C22×D6711yescharacteristic
1447#102C22×D6711yescharacteristic
1448#102C22×D6711yescharacteristic
1449#102C22×D6711yescharacteristic, complemented
1450#102C22×D6711yescharacteristic, complemented
1451C22⋊C8—671no—
1452C22⋊C8—671no—
1453C22⋊C8—671no—
1454C22⋊C8—671no—
1455C22⋊C8—671no—
1456C22⋊C8—671no—
1457C22⋊C8C22×D6711yescharacteristic
1458C22⋊C8C22×D6711yescharacteristic
1459#97—671no—
1460#97—671no—
1461#97—671no—
1462#97C22×D6711yescharacteristic, complemented
1463C4×C8—671no—
1464C4×C8—671no—
1465C4×C8—671no—
1466C4×C8C22×D6711yescharacteristic, complemented
1467C24—21no—
1468C24—2684no—
1469C24—5362no—
1470C24—5362no—
1471C24—671no—
1472C24—1341no—
1473C24—1341no—
1474C24—1341no—
1475C24—1341no—
1476C24—1341no—
1477C24—1341no—
1478C24—1341no—
1479#41—41no—
1480#41—41no—
1481#41—2681no—
1482#41—2681no—
1483#41—2684no—
1484#41—2681no—
1485#41—2681no—
1486#41—2684no—
1487#41—2681no—
1488#41—2681no—
1489C2×Q8—21no—
1490C2×Q8—5362no—
1491C2×Q8—671no—
1492C2×Q8—671no—
1493C2×Q8—1341no—
1494C2×Q8—1341no—
1495C2×Q8—1341no—
1496C2×Q8—1341no—
1497C2×Q8—1342no—
1498C2×Q8—1342no—
1499C2×Q8—1342no—
1500C2×Q8—1342no—
1501C2×Q8—1341no—
1502C2×Q8C23×D6711yescharacteristic
1503C2×Q8C23×D6711yescharacteristic
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—2681no—
1514C2×D4—2681no—
1515C2×D4—2684no—
1516C2×D4—2681no—
1517C2×D4—2681no—
1518C2×D4—2681no—
1519C2×D4—2681no—
1520C2×D4—2684no—
1521C2×D4—2684no—
1522C2×D4—2684no—
1523C2×D4—5362no—
1524C2×D4—5362no—
1525C2×D4—5362no—
1526C2×D4—5362no—
1527C2×D4—5362no—
1528C2×D4—671no—
1529C2×D4—671no—
1530C2×D4—671no—
1531C2×D4—671no—
1532C2×D4—1341no—
1533C2×D4—1341no—
1534C2×D4—1342no—
1535C2×D4—1342no—
1536C2×D4—1342no—
1537C2×D4—1342no—
1538C2×D4—1342no—
1539C2×D4—1342no—
1540C2×D4—1342no—
1541C2×D4—1342no—
1542C2×D4—1341no—
1543C2×D4—1341no—
1544C2×D4—1341no—
1545C2×D4—1341no—
1546C2×D4—1341no—
1547C2×D4—1341no—
1548C2×D4—1341no—
1549C2×D4—1341no—
1550C2×D4—1341no—
1551C2×D4—1341no—
1552C2×D4—1341no—
1553C2×D4—1341no—
1554C2×D4—1341no—
1555C2×D4—1341no—
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×D4C23×D6711yescharacteristic
1566C2×D4C23×D6711yescharacteristic
1567C2×D4C23×D6711yescharacteristic
1568C2×D4C23×D6711yescharacteristic
1569C22×C4—21no—
1570C22×C4—21no—
1571C22×C4—2684no—
1572C22×C4—5362no—
1573C22×C4—671no—
1574C22×C4—671no—
1575C22×C4—671no—
1576C22×C4—671no—
1577C22×C4—671no—
1578C22×C4—671no—
1579C22×C4—671no—
1580C22×C4—671no—
1581C22×C4—671no—
1582C22×C4—1341no—
1583C22×C4—1341no—
1584C22×C4—1341no—
1585C22×C4—1341no—
1586C22×C4—1341no—
1587C22×C4—1341no—
1588C22×C4—1342no—
1589C22×C4—1342no—
1590C22×C4—1341no—
1591C22×C4—1341no—
1592C22×C4—1341no—
1593C22×C4—1341no—
1594C22×C4C23×D6711yescharacteristic
1595Q16—41no—
1596Q16—2681no—
1597Q16—2681no—
1598Q16—2681no—
1599SD16—41no—
1600SD16—41no—
1601SD16—41no—
1602SD16—41no—
1603SD16—2681no—
1604SD16—2681no—
1605SD16—2681no—
1606SD16—2681no—
1607SD16—2681no—
1608SD16—2681no—
1609SD16—2681no—
1610SD16—2681no—
1611SD16—2681no—
1612SD16—2681no—
1613SD16—2681no—
1614SD16—2681no—
1615D8—41no—
1616D8—41no—
1617D8—41no—
1618D8—2681no—
1619D8—2681no—
1620D8—2681no—
1621D8—2681no—
1622D8—2681no—
1623D8—2681no—
1624D8—2681no—
1625D8—2681no—
1626D8—2681no—
1627C2×C8—671no—
1628C2×C8—671no—
1629C2×C8—671no—
1630C2×C8—671no—
1631C2×C8—1342no—
1632C2×C8—1342no—
1633C2×C8—1342no—
1634C2×C8—1342no—
1635C2×C8C23×D6711yescharacteristic
1636C2×C8C23×D6711yescharacteristic
1637C2×C8C23×D6711yescharacteristic
1638C2×C8C23×D6711yescharacteristic
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—671no—
1643C4⋊C4—671no—
1644C4⋊C4—671no—
1645C4⋊C4—671no—
1646C4⋊C4—671no—
1647C4⋊C4—671no—
1648C4⋊C4—671no—
1649C4⋊C4—671no—
1650C4⋊C4—1341no—
1651C4⋊C4—1341no—
1652C4⋊C4—1341no—
1653C4⋊C4—1341no—
1654C4⋊C4—1341no—
1655C4⋊C4—1341no—
1656C4⋊C4—1341no—
1657C4⋊C4—1341no—
1658C4⋊C4—1341no—
1659C4⋊C4—1341no—
1660C4⋊C4—1341no—
1661C4⋊C4D4×D6711yescharacteristic
1662C4⋊C4D4×D6711yescharacteristic
1663C4⋊C4C23×D6711yescharacteristic
1664C4⋊C4C23×D6711yescharacteristic
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—671no—
1675C22⋊C4—671no—
1676C22⋊C4—671no—
1677C22⋊C4—671no—
1678C22⋊C4—671no—
1679C22⋊C4—671no—
1680C22⋊C4—1341no—
1681C22⋊C4—1341no—
1682C22⋊C4—1341no—
1683C22⋊C4—1341no—
1684C22⋊C4—1341no—
1685C22⋊C4—1341no—
1686C22⋊C4—1341no—
1687C22⋊C4—1341no—
1688C22⋊C4—1341no—
1689C22⋊C4—1341no—
1690C22⋊C4—1341no—
1691C22⋊C4—1341no—
1692C22⋊C4—1341no—
1693C22⋊C4—1341no—
1694C22⋊C4—1341no—
1695C22⋊C4—1341no—
1696C22⋊C4—1341no—
1697C22⋊C4—1341no—
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⋊C4D4×D6711yescharacteristic
1708C22⋊C4D4×D6711yescharacteristic
1709C42—21no—
1710C42—671no—
1711C42—671no—
1712C42—671no—
1713C42—671no—
1714C42—671no—
1715C42—671no—
1716C42—1341no—
1717C42—1341no—
1718C42—1341no—
1719C42C23×D6711yescharacteristic
1720C42C23×D6711yescharacteristic
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—42no—
1726C23—81no—
1727C23—81no—
1728C23—2682no—
1729C23—2682no—
1730C23—2682no—
1731C23—2682no—
1732C23—2682no—
1733C23—2682no—
1734C23—2682no—
1735C23—2682no—
1736C23—2682no—
1737C23—2682no—
1738C23—2682no—
1739C23—2682no—
1740C23—2682no—
1741C23—2682no—
1742C23—2682no—
1743C23—5361no—
1744C23—5361no—
1745C23—5361no—
1746C23—5361no—
1747C23—5361no—
1748C23—5361no—
1749C23—53616no—
1750C23—671no—
1751C23—671no—
1752C23—1342no—
1753C23—1342no—
1754C23—1342no—
1755C23—1341no—
1756C23—1341no—
1757C23—1341no—
1758C23—1341no—
1759C23C2×D4×D6711yescharacteristic
1760Q8—21no—
1761Q8—21no—
1762Q8—21no—
1763Q8—21no—
1764Q8—81no—
1765Q8—2682no—
1766Q8—2682no—
1767Q8—5361no—
1768Q8—5361no—
1769Q8—5361no—
1770Q8—1341no—
1771Q8—1341no—
1772Q8—1341no—
1773Q8—1341no—
1774D4—21no—
1775D4—21no—
1776D4—21no—
1777D4—21no—
1778D4—21no—
1779D4—21no—
1780D4—21no—
1781D4—21no—
1782D4—42no—
1783D4—42no—
1784D4—81no—
1785D4—81no—
1786D4—81no—
1787D4—81no—
1788D4—81no—
1789D4—2682no—
1790D4—2682no—
1791D4—2682no—
1792D4—2682no—
1793D4—2682no—
1794D4—2682no—
1795D4—2682no—
1796D4—2682no—
1797D4—2682no—
1798D4—2682no—
1799D4—5361no—
1800D4—5361no—
1801D4—5361no—
1802D4—5361no—
1803D4—5361no—
1804D4—5361no—
1805D4—5361no—
1806D4—5361no—
1807D4—5361no—
1808D4—5361no—
1809D4—5361no—
1810D4—5361no—
1811D4—5361no—
1812D4—5361no—
1813D4—5361no—
1814D4—1341no—
1815D4—1341no—
1816D4—1341no—
1817D4—1341no—
1818D4—1341no—
1819D4—1341no—
1820D4—1341no—
1821D4—1341no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—42no—
1829C2×C4—81no—
1830C2×C4—2682no—
1831C2×C4—2682no—
1832C2×C4—2682no—
1833C2×C4—2682no—
1834C2×C4—2682no—
1835C2×C4—2682no—
1836C2×C4—2682no—
1837C2×C4—5361no—
1838C2×C4—5361no—
1839C2×C4—5361no—
1840C2×C4—671no—
1841C2×C4—672no—
1842C2×C4—672no—
1843C2×C4—671no—
1844C2×C4—671no—
1845C2×C4—671no—
1846C2×C4—671no—
1847C2×C4—671no—
1848C2×C4—1342no—
1849C2×C4—1342no—
1850C2×C4—1342no—
1851C2×C4—1342no—
1852C2×C4—1342no—
1853C2×C4—1342no—
1854C2×C4—1341no—
1855C2×C4—1341no—
1856C2×C4—1341no—
1857C2×C4—1341no—
1858C2×C4—1342no—
1859C2×C4—1341no—
1860C2×C4—1341no—
1861C2×C4C2×D4×D6711yescharacteristic
1862C2×C4C2×D4×D6711yescharacteristic
1863C2×C4C2×D4×D6711yescharacteristic
1864C2×C4C2×D4×D6711yescharacteristic
1865C2×C4C2×D4×D6711yescharacteristic
1866C2×C4C24×D6711yescharacteristic
1867C8—21no—
1868C8—21no—
1869C8—21no—
1870C8—21no—
1871C8—1341no—
1872C8—1341no—
1873C8—1341no—
1874C8—1341no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—84no—
1891C22—2684no—
1892C22—2681no—
1893C22—2681no—
1894C22—2681no—
1895C22—2681no—
1896C22—2681no—
1897C22—2681no—
1898C22—2681no—
1899C22—2681no—
1900C22—2681no—
1901C22—2681no—
1902C22—2681no—
1903C22—2681no—
1904C22—5364no—
1905C22—5364no—
1906C22—5364no—
1907C22—5364no—
1908C22—5364no—
1909C22—5364no—
1910C22—5364no—
1911C22—672no—
1912C22—672no—
1913C22—672no—
1914C22—1341no—
1915C22—1341no—
1916C22—1341no—
1917C22C22×D4×D6711yescharacteristic
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—21no—
1922C4—21no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—41no—
1927C4—2681no—
1928C4—2681no—
1929C4—2681no—
1930C4—2681no—
1931C4—672no—
1932C4—1341no—
1933C4—1341no—
1934C4—1341no—
1935C4—1341no—
1936C4—1341no—
1937C4H(5,𝔽2)×D6711yescharacteristic
1938C4H(5,𝔽2)×D6711yescharacteristic
1939C2—41no—
1940C2—81no—
1941C2—81no—
1942C2—81no—
1943C2—81no—
1944C2—2681no—
1945C2—5361no—
1946C2—5361no—
1947C2—5361no—
1948C2—5361no—
1949C2—674no—
1950C2#535×D6711yescharacteristic
1951C2#576×D6711yescharacteristic
1952C2#577×D6711yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3224C2
socleC22×C67C23×D4
hypercenter#3224D67
hypocenterC67C2×#3224
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #542×D67C2semidirect
2. #535×D67C2semidirect
3. #22571310C2semidirect
4. #22571309C2semidirect
5. #22571308C2semidirect
6. #22571307C2semidirect
7. #22571306C2semidirect
8. #22571305C2semidirect
9. #22571304C2semidirect
10. #22571303C2semidirect
11. #22571302C2semidirect
12. #22571301C2semidirect
13. #22571300C2semidirect
14. #22571299C2semidirect
15. #22571298C2semidirect
16. #22571297C2semidirect
17. #22571296C2semidirect
18. #496×D67C2semidirect
19. #495×D67C2semidirect
20. #489×D67C2semidirect
21. #486×D67C2semidirect
22. #464×D67C2semidirect
23. #460×D67C2semidirect
24. #463×D67C2semidirect
25. #459×D67C2semidirect
26. #452×D67C2semidirect
27. #449×D67C2semidirect
28. #450×D67C2semidirect
29. #447×D67C2semidirect
30. #433×D67C2semidirect
31. C67×#3224C2semidirect
34. C2×Q16×D67C22semidirect
37. C2×SD16×D67C22semidirect
38. C2×SD16×D67C22semidirect
41. C2×D8×D67C22semidirect
42. #16864020C22semidirect
43. #16864019C22semidirect
44. #16864018C22semidirect
45. #16864017C22semidirect
47. #16864015C22semidirect
49. #16864013C22semidirect
51. #16864011C22semidirect
53. #16863965C22semidirect
54. #16863964C22semidirect
55. #16863964C22semidirect
56. #16863963C22semidirect
61. #16863960C22semidirect
62. #16863959C22semidirect
63. #16863959C22semidirect
64. C4⋊Q8×D67C22semidirect
71. #124×D67C22semidirect
80. C4×Q8×D67C22semidirect
81. C4×D4×D67C22semidirect
83. #16863786C22semidirect
84. #16863785C22semidirect
85. #16863784C22semidirect
86. #16863784C22semidirect
87. #16863783C22semidirect
88. #16863782C22semidirect
89. #16863782C22semidirect
90. #16863781C22semidirect
91. #16863780C22semidirect
92. #16863779C22semidirect
93. #16863778C22semidirect
94. #16863778C22semidirect
95. #16863777C22semidirect
96. #16863777C22semidirect
97. #16863758C22semidirect
98. #16863757C22semidirect
99. #16863757C22semidirect
100. #16863756C22semidirect
101. #16863755C22semidirect
102. #16863754C22semidirect
103. #16863754C22semidirect
104. #16863744C22semidirect
105. #16863743C22semidirect
106. #16863742C22semidirect
107. #16863741C22semidirect
108. #16863741C22semidirect
109. #16863741C22semidirect
110. #16863741C22semidirect
111. #16863621C22semidirect
112. #16863620C22semidirect
113. #16863619C22semidirect
114. #16863618C22semidirect
115. #16863617C22semidirect
116. #16863616C22semidirect
117. #16863615C22semidirect
118. #16863614C22semidirect
119. #16863613C22semidirect
120. #16863612C22semidirect
121. #16863611C22semidirect
122. #16863610C22semidirect
123. #16863609C22semidirect
124. #16863608C22semidirect
125. #16863597C22semidirect
126. #16863596C22semidirect
127. #16863595C22semidirect
128. #16863595C22semidirect
129. #16863594C22semidirect
130. #16863594C22semidirect
131. #16863593C22semidirect
132. #16863592C22semidirect
133. #16863591C22semidirect
134. #16863590C22semidirect
135. #16863590C22semidirect
136. #16863589C22semidirect
137. #16863589C22semidirect
138. #16863588C22semidirect
139. #16863561C22semidirect
140. #16863560C22semidirect
141. #16863559C22semidirect
142. #16863558C22semidirect
143. #16863557C22semidirect
144. #16863556C22semidirect
145. #16863555C22semidirect
146. #16863549C22semidirect
147. #16863548C22semidirect
148. #16863548C22semidirect
149. #16863547C22semidirect
150. #16863546C22semidirect
151. #16863545C22semidirect
152. #16863545C22semidirect
153. #16863544C22semidirect
154. #16863543C22semidirect
155. #16863542C22semidirect
156. #16863541C22semidirect
157. #16863540C22semidirect
158. #16863539C22semidirect
159. #16863538C22semidirect
160. #16863532C22semidirect
161. #16863531C22semidirect
162. #16863531C22semidirect
163. #16863530C22semidirect
164. #16863529C22semidirect
165. #16863528C22semidirect
166. #16863528C22semidirect
167. #16863458C22semidirect
168. #16863457C22semidirect
169. #16863456C22semidirect
170. #16863456C22semidirect
171. #16863455C22semidirect
172. #16863454C22semidirect
173. #16863454C22semidirect
174. C4⋊C8×D67C22semidirect
175. C4⋊C8×D67C22semidirect
176. #103×D67C22semidirect
177. #103×D67C22semidirect
182. #102×D67C22semidirect
183. #102×D67C22semidirect
186. #97×D67C22semidirect
187. C4×C8×D67C22semidirect
188. #542×C67C22semidirect
189. #535×C67C22semidirect
190. #496×C67C22semidirect
191. #495×C67C22semidirect
192. #489×C67C22semidirect
193. #486×C67C22semidirect
194. #464×C67C22semidirect
195. #463×C67C22semidirect
196. #460×C67C22semidirect
197. #459×C67C22semidirect
198. #452×C67C22semidirect
199. #450×C67C22semidirect
200. #449×C67C22semidirect
201. #447×C67C22semidirect
202. #433×C67C22semidirect
235. C2×Dic268C23semidirect
236. C2×#11761618C23semidirect
237. C2×#11761618C23semidirect
241. C2×#11761617C23semidirect
242. C2×#11761617C23semidirect
245. C2×#11761616C23semidirect
246. C2×#11761616C23semidirect
249. C2×#11761615C23semidirect
250. C2×#11761615C23semidirect
257. C2×D536C23semidirect
262. C2×#11761613C23semidirect
263. C2×#11761613C23semidirect
271. #14524043C23semidirect
273. #14524042C23semidirect
274. #14524042C23semidirect
296. #14524032C23semidirect
300. #14524031C23semidirect
304. #14524030C23semidirect
367. Q8×Dic67C23semidirect
369. C4×Dic134C23semidirect
371. #14524008C23semidirect
372. C4×D268C23semidirect
373. D4×Dic67C23semidirect
374. #14524005C23semidirect
405. C4⋊(C67⋊C8)C23semidirect
406. C4⋊(C67⋊C8)C23semidirect
407. Dic67⋊C8C23semidirect
408. Dic67⋊C8C23semidirect
409. Dic67⋊C8C23semidirect
410. Dic67⋊C8C23semidirect
411. #14523968C23semidirect
412. #14523968C23semidirect
413. #14523967C23semidirect
414. #14523967C23semidirect
415. #14523966C23semidirect
416. #14523966C23semidirect
421. #14523965C23semidirect
422. #14523965C23semidirect
427. #14523964C23semidirect
428. #14523964C23semidirect
433. #14523963C23semidirect
434. #14523963C23semidirect
441. #14523954C23semidirect
442. #14523953C23semidirect
443. #14523953C23semidirect
444. C4×C67⋊C8C23semidirect
445. C8×Dic67C23semidirect
446. C8×Dic67C23semidirect
449. C2×Q16×C67C23semidirect
452. C2×SD16×C67C23semidirect
453. C2×SD16×C67C23semidirect
456. C2×D8×C67C23semidirect
457. C4⋊Q8×C67C23semidirect
464. #124×C67C23semidirect
473. C4×Q8×C67C23semidirect
474. C4×D4×C67C23semidirect
476. C4⋊C8×C67C23semidirect
477. C4⋊C8×C67C23semidirect
478. #103×C67C23semidirect
479. #103×C67C23semidirect
484. #102×C67C23semidirect
485. #102×C67C23semidirect
488. #97×C67C23semidirect
489. C4×C8×C67C23semidirect
976. D67#3224direct (N × H)
994. #3224D67direct (N × H)
1008. C67C2×#3224semidirect
1030. #542C2×D67semidirect
1042. #535C2×D67semidirect
1069. #496C2×D67semidirect
1077. #495C2×D67semidirect
1085. #489C2×D67semidirect
1093. #486C2×D67semidirect
1101. #464C2×D67semidirect
1109. #463C2×D67semidirect
1117. #460C2×D67semidirect
1125. #459C2×D67semidirect
1133. #452C2×D67semidirect
1141. #450C2×D67semidirect
1149. #449C2×D67semidirect
1157. #447C2×D67semidirect
1165. #433C2×D67semidirect
1218. C2×Q16C22×D67semidirect
1237. C2×SD16C22×D67semidirect
1238. C2×SD16C22×D67semidirect
1253. C2×D8C22×D67semidirect
1263. C4⋊Q8C22×D67semidirect
1309. #124C22×D67semidirect
1375. C4×Q8C22×D67semidirect
1381. C4×D4C22×D67semidirect
1417. C4⋊C8C22×D67semidirect
1418. C4⋊C8C22×D67semidirect
1425. #103C22×D67semidirect
1426. #103C22×D67semidirect
1449. #102C22×D67semidirect
1450. #102C22×D67semidirect
1462. #97C22×D67semidirect
1466. C4×C8C22×D67semidirect

Maximal subgroups

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

subgroupindex
#542×D672
#535×D672
#225713102
#225713092
#225713082
#225713072
#225713062
#225713052
#225713042
#225713032
#225713022
#225713012
#225713002
#225712992
#225712982
#225712972
#225712962
#496×D672
#495×D672
#489×D672
#486×D672
#464×D672
#460×D672
#463×D672
#459×D672
#452×D672
#449×D672
#450×D672
#447×D672
#433×D672
C67×#32242
C2×#322467