Finite Group Databasebeta

← #31741903

Subgroups — #31741903

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#22574437C211yesmaximal, characteristic, complemented
2#22573837C211yesmaximal, characteristic, complemented
3#22572286C211yesmaximal, characteristic, complemented
4#22572284C211yesmaximal, characteristic, complemented
5#22572173C211yesmaximal, characteristic, complemented
6#22572167C211yesmaximal, characteristic, complemented
7#22572031C211yesmaximal, characteristic, complemented
8#22572021C211yesmaximal, characteristic, complemented
9#22572018C211yesmaximal, characteristic, complemented
10#22571923C211yesmaximal, characteristic, complemented
11#22571918C211yesmaximal, characteristic, complemented
12#22571896C211yesmaximal, characteristic, complemented
13#22571887C211yesmaximal, characteristic, complemented
14#22571702C211yesmaximal, characteristic, complemented
15#22571699C211yesmaximal, characteristic, complemented
16#22571686C211yesmaximal, characteristic, complemented
17#22571685C211yesmaximal, characteristic, complemented
18#22571308C211yesmaximal, characteristic, complemented
19#22571306C211yesmaximal, characteristic, complemented
20#22571066C211yesmaximal, characteristic, complemented
21#22571064C211yesmaximal, characteristic, complemented
22#22570985C211yesmaximal, characteristic, complemented
23#22570973C211yesmaximal, characteristic, complemented
24#22570399C211yesmaximal, characteristic, complemented
25#22570398C211yesmaximal, characteristic, complemented
26#22569518C211yesmaximal, characteristic, complemented
27#22569514C211yesmaximal, characteristic, complemented
28#450×D67C211yesmaximal, characteristic, complemented
29C2×#16863531C211yesmaximal, characteristic, complemented
30#22569262C211yesmaximal, characteristic, complemented
31C67×#3295C211yesmaximal, characteristic, complemented
32C2×#14524088C2211yescharacteristic, complemented
33C22×D4×D67C2211yescharacteristic
34C2×#14524070C2211yescharacteristic, complemented
35C2×#14524069C2211yescharacteristic, complemented
36C2×#14524065C2211yescharacteristic, complemented
37C2×#14524064C2211yescharacteristic, complemented
38C2×SD16×D67C2211yescharacteristic, complemented
39C2×SD16×D67C2211yescharacteristic, complemented
40C22×D536C2211yescharacteristic, complemented
41C22×#11761613C2211yescharacteristic, complemented
42#16864144—21no—
43#16864142—21no—
44#16864101C2211yescharacteristic, complemented
45#16864058C2211yescharacteristic, complemented
46#16864056C2211yescharacteristic, complemented
47#16864049C2211yescharacteristic, complemented
48#16864047C2211yescharacteristic, complemented
49#16864043C2211yescharacteristic, complemented
50#16864042—21no—
51#16864042C2211yescharacteristic
52#16864042C2211yescharacteristic, complemented
53#16864041C2211yescharacteristic, complemented
54#16864040C2211yescharacteristic
55#16864037—21no—
56#16864037C2211yescharacteristic, complemented
57#16864035—21no—
58#16864033—21no—
59#16864031C2211yescharacteristic, complemented
60#16864030C2211yescharacteristic
61D4×C22⋊D67—21no—
62D4×C22⋊D67C2211yescharacteristic, complemented
63#16864028—21no—
64#16864021—21no—
65#16864020C2211yescharacteristic, complemented
66#16864018C2211yescharacteristic, complemented
67#16863994—21no—
68#16863979—21no—
69#16863977C2211yescharacteristic, complemented
70#16863976—21no—
71#16863976C2211yescharacteristic, complemented
72#16863962C2211yescharacteristic, complemented
73#16863959C2211yescharacteristic, complemented
74#16863956—21no—
75#16863954—21no—
76#16863906C2211yescharacteristic
77#16863905C2211yescharacteristic
78C22⋊Q8×D67C2211yescharacteristic, complemented
79C2×#14524018C2211yescharacteristic, complemented
80C2×#14524011—21no—
81#120×D67—21no—
82#16863868C2211yescharacteristic, complemented
83#16863783C2211yescharacteristic, complemented
84#16863782C2211yescharacteristic, complemented
85#16863780C2211yescharacteristic, complemented
86#16863777C2211yescharacteristic, complemented
87#16863758C2211yescharacteristic, complemented
88#16863754C2211yescharacteristic, complemented
89#16863741C2211yescharacteristic, complemented
90#16863740C2211yescharacteristic, complemented
91#16863736C2211yescharacteristic, complemented
92#16863731C2211yescharacteristic, complemented
93#16863728C2211yescharacteristic, complemented
94#16863722C2211yescharacteristic, complemented
95#16863722C2211yescharacteristic, complemented
96#16863716C2211yescharacteristic, complemented
97#16863709C2211yescharacteristic, complemented
98#16863708C2211yescharacteristic, complemented
99#16863708C2211yescharacteristic, complemented
100#16863685C2211yescharacteristic, complemented
101#16863674C2211yescharacteristic, complemented
102#16863673C2211yescharacteristic, complemented
103#16863650C2211yescharacteristic, complemented
104#16863647C2211yescharacteristic, complemented
105#16863644C2211yescharacteristic, complemented
106#16863641C2211yescharacteristic, complemented
107#16863637C2211yescharacteristic, complemented
108#16863635C2211yescharacteristic, complemented
109#16863632C2211yescharacteristic, complemented
110#16863631C2211yescharacteristic, complemented
111#16863631C2211yescharacteristic, complemented
112#16863631C2211yescharacteristic, complemented
113#16863626C2211yescharacteristic, complemented
114#16863626C2211yescharacteristic, complemented
115#16863626C2211yescharacteristic, complemented
116#16863623C2211yescharacteristic, complemented
117#16863618C2211yescharacteristic, complemented
118#16863617C2211yescharacteristic, complemented
119#16863614C2211yescharacteristic, complemented
120#16863613C2211yescharacteristic, complemented
121#16863612C2211yescharacteristic, complemented
122#16863612C2211yescharacteristic, complemented
123#16863611C2211yescharacteristic, complemented
124#16863610C2211yescharacteristic, complemented
125#16863595C2211yescharacteristic, complemented
126#16863590C2211yescharacteristic, complemented
127#16863588C2211yescharacteristic, complemented
128#16863559C2211yescharacteristic, complemented
129#16863559C2211yescharacteristic, complemented
130#16863556C2211yescharacteristic, complemented
131#16863555C2211yescharacteristic, complemented
132#16863553C2211yescharacteristic, complemented
133#16863549C2211yescharacteristic, complemented
134#16863549C2211yescharacteristic, complemented
135#16863548C2211yescharacteristic, complemented
136#16863548C2211yescharacteristic, complemented
137#16863548C2211yescharacteristic, complemented
138#16863547C2211yescharacteristic, complemented
139#16863546C2211yescharacteristic, complemented
140#16863545C2211yescharacteristic, complemented
141#16863545C2211yescharacteristic, complemented
142#16863544C2211yescharacteristic, complemented
143#16863543C2211yescharacteristic, complemented
144#16863543C2211yescharacteristic, complemented
145#16863542C2211yescharacteristic, complemented
146#16863542C2211yescharacteristic, complemented
147#16863542C2211yescharacteristic, complemented
148#16863540C2211yescharacteristic, complemented
149#16863539C2211yescharacteristic, complemented
150#16863533C2211yescharacteristic, complemented
151#16863531C2211yescharacteristic
152#16863531C2211yescharacteristic
153#16863531C2211yescharacteristic, complemented
154#16863531C2211yescharacteristic, complemented
155#16863531C2211yescharacteristic, complemented
156#16863531C2211yescharacteristic, complemented
157#16863531C2211yescharacteristic, complemented
158#16863531C2211yescharacteristic, complemented
159#16863531C2211yescharacteristic, complemented
160#16863530C2211yescharacteristic, complemented
161#16863529C2211yescharacteristic, complemented
162#16863507C2211yescharacteristic, complemented
163#16863506C2211yescharacteristic, complemented
164#16863494C2211yescharacteristic, complemented
165#16863493C2211yescharacteristic, complemented
166#16863483C2211yescharacteristic, complemented
167C4×D536C2211yescharacteristic, complemented
168#16863476C2211yescharacteristic, complemented
169#16863470C2211yescharacteristic, complemented
170#16863468C2211yescharacteristic, complemented
171#16863467C2211yescharacteristic, complemented
172#16863466C2211yescharacteristic, complemented
173C8×D268C2211yescharacteristic, complemented
174C8×C22⋊D67C2211yescharacteristic, complemented
175(C22⋊D67)⋊C8C2211yescharacteristic, complemented
176#16863456C2211yescharacteristic, complemented
177#16863455C2211yescharacteristic, complemented
178#16863395C2211yescharacteristic, complemented
179#16863394C2211yescharacteristic, complemented
180C2×#14523963C2211yescharacteristic, 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
188#554×C67C2211yescharacteristic, complemented
189D42×C67C2211yescharacteristic
190#486×C67C2211yescharacteristic, complemented
191#481×C67C2211yescharacteristic, complemented
192#481×C67C2211yescharacteristic, complemented
193#476×C67C2211yescharacteristic, complemented
194#465×C67C2211yescharacteristic, complemented
195#465×C67C2211yescharacteristic, complemented
196#460×C67C2211yescharacteristic, complemented
197#450×C67C2211yescharacteristic, complemented
198#450×C67C2211yescharacteristic, complemented
199C4×SD16×C67C2211yescharacteristic, complemented
200C8×D4×C67C2211yescharacteristic, complemented
201C2×#102×C67C2211yescharacteristic, complemented
202C2×#102×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524088—42no—
205#14524088—42no—
206C2×#11761629—21no—
207C2×#11761629C2311yescharacteristic, complemented
208C2×#11761628—21no—
209C2×#11761628C2311yescharacteristic
210C2×#11761628C2311yescharacteristic
211C2×#11761628C2311yescharacteristic, complemented
212C2×#11761627—21no—
213C2×#11761627C2311yescharacteristic
214C2×#11761627C2311yescharacteristic
215C2×Q8×D67C2311yescharacteristic
216C22×D268—21no—
217C22×D268C2311yescharacteristic
218C22×D268C2311yescharacteristic
219C22×C22⋊D67—21no—
220C22×C22⋊D67—21no—
221C22×C22⋊D67—21no—
222C22×C22⋊D67—21no—
223C2×D4×D67—21no—
224C2×D4×D67—21no—
225C2×D4×D67—21no—
226C2×D4×D67—21no—
227C2×D4×D67—21no—
228C2×D4×D67—42no—
229C2×D4×D67—42no—
230C2×D4×D67C2311yescharacteristic
231C2×D4×D67C2311yescharacteristic
232C2×D4×D67C2311yescharacteristic
233C2×D4×D67C2311yescharacteristic
234C2×D4×D67C2311yescharacteristic
235C22×C4×D67C2311yescharacteristic
236#14524070—42no—
237#14524069—42no—
238#14524065—42no—
239#14524064—42no—
240C2×Dic268C2311yescharacteristic, complemented
241C2×#11761618C2311yescharacteristic, complemented
242C2×#11761617C2311yescharacteristic
243C2×#11761617C2311yescharacteristic
244C2×#11761617C2311yescharacteristic, complemented
245C2×#11761617C2311yescharacteristic, complemented
246C2×#11761616C2311yescharacteristic
247C2×#11761616C2311yescharacteristic
248C2×#11761616C2311yescharacteristic, complemented
249C2×#11761615C2311yescharacteristic
250C2×#11761615C2311yescharacteristic
251SD16×D67—42no—
252SD16×D67—42no—
253C2×D536—42no—
254C2×D536C2311yescharacteristic
255C2×D536C2311yescharacteristic
256C2×D536C2311yescharacteristic
257C2×D536C2311yescharacteristic
258C2×#11761613—42no—
259C2×#11761613C2311yescharacteristic
260C2×#11761613C2311yescharacteristic
261C2×#11761613C2311yescharacteristic
262C2×#11761613C2311yescharacteristic
263C2×#11761613C2311yescharacteristic, complemented
264C2×#11761613C2311yescharacteristic, complemented
265C2×#11761612C2311yescharacteristic, complemented
266C2×#11761611C2311yescharacteristic, complemented
267C22×C67⋊C8C2311yescharacteristic
268C2×C8×D67C2311yescharacteristic
269C2×C8×D67C2311yescharacteristic
270C2×C8×D67C2311yescharacteristic, complemented
271#14524042C2311yescharacteristic, complemented
272#14524039—21no—
273#14524039C2311yescharacteristic
274#14524038—21no—
275#14524037—21no—
276#14524033—21no—
277#14524032—21no—
278#14524032C2311yescharacteristic, complemented
279#14524031—21no—
280#14524031—21no—
281#14524031C2311yescharacteristic
282#14524031C2311yescharacteristic, complemented
283#14524030C2311yescharacteristic
284#14524029—21no—
285#14524029—21no—
286#14524028—21no—
287#14524028—21no—
288#14524028—21no—
289#14524028—21no—
290#14524028—21no—
291#14524028—21no—
292#14524028—21no—
293#14524028—21no—
294#14524028D411yescharacteristic
295#14524027—21no—
296#14524026—21no—
297#14524025—21no—
298#14524025—21no—
299#14524025D411yescharacteristic
300#14524024—21no—
301#14524023—21no—
302#14524023—21no—
303#14524023C2311yescharacteristic
304#14524023C2311yescharacteristic
305#14524023C2311yescharacteristic, complemented
306#14524022—21no—
307#14524022C2311yescharacteristic
308#14524022C2311yescharacteristic
309#14524021—21no—
310#14524021—21no—
311#14524021—21no—
312#14524021—21no—
313#14524021—21no—
314#14524021—21no—
315#14524021D411yescharacteristic
316#14524020—21no—
317#14524020D411yescharacteristic
318#14524019—21no—
319#14524019—21no—
320#14524019C2311yescharacteristic
321#14524018—21no—
322#14524018—21no—
323#14524018—21no—
324#14524018—21no—
325#14524018—21no—
326#14524018—21no—
327#14524018C2311yescharacteristic
328#14524018C2311yescharacteristic
329#14524018C2311yescharacteristic
330#14524018C2311yescharacteristic
331#14524018C2311yescharacteristic
332#14524018C2311yescharacteristic, complemented
333#14524017—21no—
334#14524017—21no—
335#14524017—21no—
336#14524017C2311yescharacteristic
337#14524017C2311yescharacteristic, complemented
338#14524016—21no—
339#14524016—21no—
340#14524016—21no—
341#14524016—21no—
342#14524016—21no—
343#14524016—21no—
344#14524016D411yescharacteristic
345#14524015—21no—
346#14524015—21no—
347#14524015—21no—
348#14524015—21no—
349#14524015D411yescharacteristic
350#14524014—21no—
351#14524014—21no—
352#14524014C2311yescharacteristic
353#14524014C2311yescharacteristic
354#14524013—21no—
355#14524013—21no—
356#14524013—21no—
357#14524013—21no—
358#14524013D411yescharacteristic
359#14524012—21no—
360#14524012—21no—
361#14524011—21no—
362#14524011—21no—
363#14524011—21no—
364#14524011—21no—
365#14524011—21no—
366#14524011—21no—
367#14524011—21no—
368#14524011—21no—
369#14524011—21no—
370#14524011—21no—
371#14524011—21no—
372#14524011D411yescharacteristic
373#14524008C2311yescharacteristic, complemented
374C4×D268—21no—
375C4×D268C2311yescharacteristic
376C4×D268C2311yescharacteristic
377C4×D268C2311yescharacteristic, complemented
378D4×Dic67—21no—
379D4×Dic67C2311yescharacteristic
380#14524005—21no—
381#14524005C2311yescharacteristic
382#14524005C2311yescharacteristic, complemented
383C4×C22⋊D67—21no—
384C4×C22⋊D67—21no—
385C4×C22⋊D67C2311yescharacteristic
386C4×C22⋊D67C2311yescharacteristic
387(C22⋊D67)⋊C4—21no—
388(C22⋊D67)⋊C4—21no—
389#14524001C2311yescharacteristic
390#14524000C2311yescharacteristic
391C4⋊C4×D67—21no—
392C4⋊C4×D67C2311yescharacteristic
393C4⋊C4×D67C2311yescharacteristic, complemented
394C2×C22⋊Dic67—21no—
395C2×(C2×D67)⋊C4—21no—
396C2×(C2×D67)⋊C4—21no—
397C2×(C2×D67)⋊C4—21no—
398C22⋊C4×D67—21no—
399C22⋊C4×D67—21no—
400C22⋊C4×D67—21no—
401C22⋊C4×D67—21no—
402C22⋊C4×D67—21no—
403C22⋊C4×D67—21no—
404#14523977C2311yescharacteristic, complemented
405#14523976C2311yescharacteristic, complemented
406#14523976C2311yescharacteristic, complemented
407#14523976C2311yescharacteristic, complemented
408#14523974C2311yescharacteristic, complemented
409C4⋊(C67⋊C8)C2311yescharacteristic, complemented
410Dic67⋊C8C2311yescharacteristic, complemented
411Dic67⋊C8C2311yescharacteristic, complemented
412#14523968C2311yescharacteristic, complemented
413#14523968C2311yescharacteristic, complemented
414#14523967C2311yescharacteristic, complemented
415#14523966C2311yescharacteristic, complemented
416#14523966C2311yescharacteristic, complemented
417#14523966C2311yescharacteristic, complemented
418#14523966C2311yescharacteristic, complemented
419#14523965C2311yescharacteristic
420#14523965C2311yescharacteristic
421#14523965C2311yescharacteristic, complemented
422#14523965C2311yescharacteristic, complemented
423#14523964C2311yescharacteristic
424#14523964C2311yescharacteristic
425#14523964C2311yescharacteristic, complemented
426#14523963C2311yescharacteristic
427#14523963C2311yescharacteristic
428#14523963C2311yescharacteristic
429#14523963C2311yescharacteristic
430#14523963C2311yescharacteristic
431#14523963C2311yescharacteristic
432#14523963C2311yescharacteristic, complemented
433#14523963C2311yescharacteristic, complemented
434C22⋊(C67⋊C8)C2311yescharacteristic
435C22⋊(C67⋊C8)C2311yescharacteristic, complemented
436(C2×D67)⋊C8C2311yescharacteristic
437(C2×D67)⋊C8C2311yescharacteristic
438(C2×D67)⋊C8C2311yescharacteristic
439(C2×D67)⋊C8C2311yescharacteristic
440(C2×D67)⋊C8C2311yescharacteristic
441(C2×D67)⋊C8C2311yescharacteristic
442(C2×D67)⋊C8C2311yescharacteristic, complemented
443(C2×D67)⋊C8C2311yescharacteristic, complemented
444#14523954C2311yescharacteristic, complemented
445#14523953C2311yescharacteristic, complemented
446C8×Dic67C2311yescharacteristic, complemented
447C22×D4×C67—21no—
448C22×D4×C67C2311yescharacteristic
449C22×D4×C67C2311yescharacteristic
450C2×SD16×C67C2311yescharacteristic
451C2×SD16×C67C2311yescharacteristic
452C2×SD16×C67C2311yescharacteristic, complemented
453C22×C8×C67C2311yescharacteristic
454C22×C8×C67C2311yescharacteristic, complemented
455C4⋊Q8×C67C2311yescharacteristic, complemented
456#127×C67C2311yescharacteristic
457#125×C67—21no—
458C22⋊Q8×C67—21no—
459C22⋊Q8×C67—21no—
460C22⋊Q8×C67C2311yescharacteristic
461C22⋊Q8×C67C2311yescharacteristic, complemented
462#121×C67—21no—
463#121×C67C2311yescharacteristic
464#121×C67C2311yescharacteristic
465#120×C67—21no—
466#120×C67—21no—
467C4×Q8×C67C2311yescharacteristic, complemented
468C4×D4×C67—21no—
469C4×D4×C67C2311yescharacteristic
470C4×D4×C67C2311yescharacteristic
471C2×C4⋊C4×C67C2311yescharacteristic
472C2×C4⋊C4×C67C2311yescharacteristic, complemented
473#106×C67C2311yescharacteristic, complemented
474#106×C67C2311yescharacteristic, complemented
475#106×C67C2311yescharacteristic, complemented
476C4⋊C8×C67C2311yescharacteristic, complemented
477#103×C67C2311yescharacteristic, complemented
478#102×C67C2311yescharacteristic
479#102×C67C2311yescharacteristic
480#102×C67C2311yescharacteristic
481#102×C67C2311yescharacteristic
482#102×C67C2311yescharacteristic
483#102×C67C2311yescharacteristic
484#102×C67C2311yescharacteristic, complemented
485#102×C67C2311yescharacteristic, complemented
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—44no—
498C23×D67—82no—
499C23×D67—82no—
500C23×D67C2×D411yescharacteristic
501#11761629—41no—
502#11761629—41no—
503#11761629—82no—
504#11761628—22no—
505#11761628—41no—
506#11761628—41no—
507#11761628—41no—
508#11761628—41no—
509#11761628—41no—
510#11761628—82no—
511#11761627—22no—
512#11761627—41no—
513#11761627—41no—
514#11761627—41no—
515#11761627—44no—
516C2×Dic134—21no—
517C2×Dic134—21no—
518C2×Dic134C2×D411yescharacteristic
519C2×Dic134C2411yescharacteristic
520C2×Dic134C2411yescharacteristic
521Q8×D67—41no—
522Q8×D67—41no—
523C2×D268—22no—
524C2×D268—21no—
525C2×D268—21no—
526C2×D268—21no—
527C2×D268—21no—
528C2×D268—21no—
529C2×D268—21no—
530C2×D268—21no—
531C2×D268—21no—
532C2×D268—21no—
533C2×D268—41no—
534C2×D268—41no—
535C2×D268—41no—
536C2×D268—82no—
537C2×D268C2×D411yescharacteristic
538C2×D268C2×D411yescharacteristic
539C2×D268C2411yescharacteristic
540C2×D268C2411yescharacteristic
541C2×D268C2411yescharacteristic
542C2×D268C2411yescharacteristic
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—21no—
554C2×C22⋊D67—21no—
555C2×C22⋊D67—21no—
556C2×C22⋊D67—21no—
557C2×C22⋊D67—21no—
558C2×C22⋊D67—44no—
559C2×C22⋊D67—44no—
560C2×C22⋊D67—44no—
561C2×C22⋊D67—82no—
562C2×C22⋊D67C2×D411yescharacteristic
563C2×C22⋊D67C2×D411yescharacteristic
564C2×C22⋊D67C2×D411yescharacteristic
565C2×C22⋊D67C2×D411yescharacteristic
566D4×D67—22no—
567D4×D67—22no—
568D4×D67—22no—
569D4×D67—22no—
570D4×D67—22no—
571D4×D67—41no—
572D4×D67—41no—
573D4×D67—41no—
574D4×D67—41no—
575D4×D67—41no—
576D4×D67—44no—
577D4×D67—44no—
578D4×D67—44no—
579D4×D67—82no—
580D4×D67—82no—
581C22×Dic67—21no—
582C22×Dic67—21no—
583C22×Dic67—21no—
584C22×Dic67C2×D411yescharacteristic
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—21no—
592C2×C4×D67—21no—
593C2×C4×D67—21no—
594C2×C4×D67—21no—
595C2×C4×D67—41no—
596C2×C4×D67—41no—
597C2×C4×D67C2×D411yescharacteristic
598C2×C4×D67C2×D411yescharacteristic
599C2×C4×D67C2411yescharacteristic
600C2×C4×D67C2411yescharacteristic
601C2×C4×D67C2411yescharacteristic
602Dic268—41no—
603#11761618—41no—
604#11761617—22no—
605#11761617—41no—
606#11761617—41no—
607#11761617—41no—
608#11761616—22no—
609#11761616—41no—
610#11761616—41no—
611#11761615—22no—
612#11761615—41no—
613D536—22no—
614D536—22no—
615D536—41no—
616D536—41no—
617#11761613—22no—
618#11761613—22no—
619#11761613—41no—
620#11761613—41no—
621#11761613—41no—
622#11761613—41no—
623#11761612—41no—
624#11761611—41no—
625C2×C67⋊C8—41no—
626C2×C67⋊C8C2411yescharacteristic
627C2×C67⋊C8C2411yescharacteristic
628C2×C67⋊C8C2411yescharacteristic
629C2×C67⋊C8C2411yescharacteristic
630C8×D67—41no—
631C8×D67—41no—
632C8×D67—41no—
633C4⋊Dic67—21no—
634C4⋊Dic67—21no—
635C4⋊Dic67—21no—
636C4⋊Dic67C2×D411yescharacteristic
637C4⋊Dic67C2411yescharacteristic
638C4⋊Dic67C2411yescharacteristic
639Dic67⋊C4—21no—
640Dic67⋊C4—21no—
641Dic67⋊C4—21no—
642Dic67⋊C4—21no—
643Dic67⋊C4—21no—
644Dic67⋊C4—21no—
645Dic67⋊C4—21no—
646Dic67⋊C4C2×D411yescharacteristic
647Dic67⋊C4C2×D411yescharacteristic
648Dic67⋊C4C2×D411yescharacteristic
649Dic67⋊C4C2×D411yescharacteristic
650C22⋊Dic67—21no—
651C22⋊Dic67—21no—
652C22⋊Dic67—21no—
653C22⋊Dic67—21no—
654C22⋊Dic67—21no—
655C22⋊Dic67—21no—
656C22⋊Dic67—21no—
657C22⋊Dic67C2×D411yescharacteristic
658C22⋊Dic67C2×D411yescharacteristic
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)⋊C4—21no—
677(C2×D67)⋊C4—21no—
678(C2×D67)⋊C4—21no—
679(C2×D67)⋊C4—21no—
680(C2×D67)⋊C4—21no—
681(C2×D67)⋊C4—21no—
682(C2×D67)⋊C4C2×D411yescharacteristic
683(C2×D67)⋊C4C2×D411yescharacteristic
684(C2×D67)⋊C4C2×D411yescharacteristic
685(C2×D67)⋊C4C2×D411yescharacteristic
686(C2×D67)⋊C4C2×D411yescharacteristic
687(C2×D67)⋊C4C2×D411yescharacteristic
688C4×Dic67—21no—
689C4×Dic67—21no—
690C4×Dic67C2411yescharacteristic
691C24×C67—21no—
692C24×C67—21no—
693C2×Q8×C67—21no—
694C2×Q8×C67C2411yescharacteristic
695C2×D4×C67—22no—
696C2×D4×C67—22no—
697C2×D4×C67—21no—
698C2×D4×C67—21no—
699C2×D4×C67—21no—
700C2×D4×C67—21no—
701C2×D4×C67—21no—
702C2×D4×C67—21no—
703C2×D4×C67—41no—
704C2×D4×C67—41no—
705C2×D4×C67—82no—
706C2×D4×C67C2×D411yescharacteristic
707C2×D4×C67C2411yescharacteristic
708C2×D4×C67C2411yescharacteristic
709C2×D4×C67C2411yescharacteristic
710C22×C4×C67—21no—
711C22×C4×C67—21no—
712C22×C4×C67—21no—
713C22×C4×C67C2411yescharacteristic
714C22×C4×C67C2411yescharacteristic
715SD16×C67—22no—
716SD16×C67—41no—
717SD16×C67—41no—
718C2×C8×C67—41no—
719C2×C8×C67—41no—
720C2×C8×C67C2411yescharacteristic
721C2×C8×C67C2411yescharacteristic
722C2×C8×C67C2411yescharacteristic
723C2×C8×C67C2411yescharacteristic
724C4⋊C4×C67—21no—
725C4⋊C4×C67—21no—
726C4⋊C4×C67—21no—
727C4⋊C4×C67—21no—
728C4⋊C4×C67—21no—
729C4⋊C4×C67—21no—
730C4⋊C4×C67C2×D411yescharacteristic
731C4⋊C4×C67C2411yescharacteristic
732C4⋊C4×C67C2411yescharacteristic
733C4⋊C4×C67C2411yescharacteristic
734C4⋊C4×C67C2411yescharacteristic
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—42no—
750C23×C67—81no—
751C23×C67—81no—
752C23×C67—81no—
753C23×C67C22×D411yescharacteristic
754C23×C67C22×D411yescharacteristic
755C22×D67—22no—
756C22×D67—21no—
757C22×D67—24no—
758C22×D67—22no—
759C22×D67—21no—
760C22×D67—21no—
761C22×D67—21no—
762C22×D67—41no—
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—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—81no—
790D4×C67—22no—
791D4×C67—21no—
792D4×C67—21no—
793D4×C67—21no—
794D4×C67—21no—
795D4×C67—21no—
796D4×C67—42no—
797D4×C67—42no—
798D4×C67—42no—
799D4×C67—81no—
800D4×C67—81no—
801D4×C67—81no—
802D4×C67H(5,𝔽2)12yes—
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—21no—
810C2×C4×C67—21no—
811C2×C4×C67—21no—
812C2×C4×C67—81no—
813C2×C4×C67—81no—
814C2×C4×C67—81no—
815C2×C4×C67C22×D411yescharacteristic
816C2×C4×C67C22×D411yescharacteristic
817C2×C4×C67C22×D411yescharacteristic
818C2×C4×C67C22×D411yescharacteristic
819C2×C4×C67C2511yescharacteristic
820C22⋊D67—24no—
821C22⋊D67—22no—
822C22⋊D67—22no—
823C22⋊D67—41no—
824C22⋊D67—41no—
825C22⋊D67—42no—
826C22⋊D67—42no—
827C22⋊D67—42no—
828C22⋊D67—42no—
829C22⋊D67—42no—
830C22⋊D67—42no—
831C22⋊D67—42no—
832C22⋊D67—42no—
833C22⋊D67—81no—
834C22⋊D67—81no—
835C22⋊D67—81no—
836C22⋊D67—81no—
837C22⋊D67—81no—
838C22⋊D67—81no—
839C2×Dic67—21no—
840C2×Dic67—21no—
841C2×Dic67—21no—
842C2×Dic67—21no—
843C2×Dic67—41no—
844C2×Dic67—42no—
845C2×Dic67—42no—
846C2×Dic67—81no—
847C2×Dic67C22×D411yescharacteristic
848C2×Dic67C22×D411yescharacteristic
849C2×Dic67C22×D411yescharacteristic
850C2×Dic67C22×D411yescharacteristic
851C2×Dic67C22×D411yescharacteristic
852D268—22no—
853D268—21no—
854D268—21no—
855D268—21no—
856D268—21no—
857D268—21no—
858D268—21no—
859D268—21no—
860D268—41no—
861D268—42no—
862D268—42no—
863D268—42no—
864D268—81no—
865D268—81no—
866D268—81no—
867D268—81no—
868D268—81no—
869D268—81no—
870D268H(5,𝔽2)12yes—
871C4×D67—21no—
872C4×D67—21no—
873C4×D67—21no—
874C4×D67—21no—
875C4×D67—21no—
876C4×D67—21no—
877C4×D67—41no—
878C4×D67—41no—
879C4×D67—42no—
880C4×D67—42no—
881C4×D67—81no—
882C4×D67—81no—
883C4×D67—81no—
884C4×D67—81no—
885C4×D67—81no—
886C4×D67—81no—
887C4×D67—81no—
888C4×D67—81no—
889Dic134—21no—
890Dic134—21no—
891Dic134—21no—
892Dic134—21no—
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—162no—
920C22×C67#57712yes—
921C22×C67C23×D411yescharacteristic
922C2×D67—21no—
923C2×D67—21no—
924C2×D67—21no—
925C2×D67—21no—
926C2×D67—22no—
927C2×D67—21no—
928C2×D67—21no—
929C2×D67—21no—
930C2×D67—21no—
931C2×D67—44no—
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—41no—
943C2×D67—84no—
944C2×D67—84no—
945C2×D67—84no—
946C2×D67—84no—
947C2×D67—84no—
948C2×D67—162no—
949C2×D67—162no—
950C2×D67#57612yes—
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#3295D6711yescharacteristic, complemented
995#3294—671no—
996#3294—671no—
997#3282—671no—
998#3282—671no—
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×#135—671no—
1025C22×SD16—671no—
1026C22×SD16—671no—
1027C22×D8—671no—
1028C22×D8—671no—
1029#562—1341no—
1030#562—1341no—
1031#554—671no—
1032#554C2×D6711yescharacteristic, complemented
1033#548—671no—
1034#548—671no—
1035#547—671no—
1036#547—671no—
1037#546—671no—
1038#546—671no—
1039#546—671no—
1040#546—671no—
1041#546—671no—
1042#546—671no—
1043#546—1341no—
1044#546—1341no—
1045#546—1341no—
1046#546—1341no—
1047D42—671no—
1048D42—671no—
1049D42—671no—
1050D42—1341no—
1051D42—1341no—
1052D42C2×D6711yescharacteristic
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#495—671no—
1076#489—671no—
1077#489—671no—
1078#486—671no—
1079#486C2×D6711yescharacteristic, complemented
1080#485—671no—
1081#485—671no—
1082#484—671no—
1083#483—671no—
1084#482—671no—
1085#482—671no—
1086#481—671no—
1087#481C2×D6711yescharacteristic, complemented
1088#481C2×D6711yescharacteristic, complemented
1089#480—671no—
1090#480—671no—
1091#480—671no—
1092#476—671no—
1093#476C2×D6711yescharacteristic, complemented
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#464—671no—
1114#463—671no—
1115#463—671no—
1116#463—671no—
1117#463—671no—
1118#463—671no—
1119#463—671no—
1120#460—671no—
1121#460C2×D6711yescharacteristic, complemented
1122#459—671no—
1123#459—671no—
1124#452—671no—
1125#452—671no—
1126#452—671no—
1127#452—671no—
1128#451—671no—
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#450C2×D6711yescharacteristic, complemented
1139#450C2×D6711yescharacteristic, complemented
1140#449—671no—
1141#449—671no—
1142#449—671no—
1143#449—671no—
1144#449—671no—
1145#449—671no—
1146#449—671no—
1147#449—671no—
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#447—671no—
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×#102C2×D6711yescharacteristic, complemented
1185C2×#102C2×D6711yescharacteristic, complemented
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—671no—
1198C2×#41—671no—
1199C2×#41—1341no—
1200C2×#41—1341no—
1201C2×#41—1341no—
1202C22×Q8—671no—
1203C22×D4—21no—
1204C22×D4—2682no—
1205C22×D4—2682no—
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×D4C22×D6711yescharacteristic
1224C22×D4C22×D6711yescharacteristic
1225C23×C4—671no—
1226AGL(1,ℤ/8)—2682no—
1227AGL(1,ℤ/8)—2682no—
1228#135—2682no—
1229#135—2682no—
1230C2×Q16—671no—
1231C2×Q16—671no—
1232C2×SD16—2682no—
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×SD16—671no—
1242C2×SD16—671no—
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×D8—671no—
1257C2×D8—671no—
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⋊Q8C22×D6711yescharacteristic, complemented
1268#127—671no—
1269#127—1341no—
1270#127C22×D6711yescharacteristic
1271#126—1341no—
1272#126—1341no—
1273#125—21no—
1274#125—1341no—
1275#124—671no—
1276#124—671no—
1277#124—671no—
1278#124—671no—
1279#124—1341no—
1280#124—1341no—
1281#124—1341no—
1282#124—1341no—
1283#124—1341no—
1284#123—671no—
1285#123—671no—
1286#123—1341no—
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—21no—
1301C22⋊Q8—671no—
1302C22⋊Q8—671no—
1303C22⋊Q8—671no—
1304C22⋊Q8—671no—
1305C22⋊Q8—671no—
1306C22⋊Q8—671no—
1307C22⋊Q8—671no—
1308C22⋊Q8—671no—
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—671no—
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—1341no—
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—21no—
1361#120—671no—
1362#120—671no—
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—1341no—
1405C2×C4⋊C4C22×D6711yescharacteristic
1406C2×C4⋊C4C22×D6711yescharacteristic, complemented
1407C2×C22⋊C4—1341no—
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#106C22×D6711yescharacteristic, complemented
1423#106C22×D6711yescharacteristic, complemented
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#103—671no—
1435#103—671no—
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#102C22×D6711yescharacteristic
1453#102C22×D6711yescharacteristic
1454#102C22×D6711yescharacteristic
1455#102C22×D6711yescharacteristic
1456#102C22×D6711yescharacteristic
1457#102C22×D6711yescharacteristic
1458#102C22×D6711yescharacteristic, complemented
1459#102C22×D6711yescharacteristic, complemented
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—21no—
1479C24—2684no—
1480C24—5362no—
1481C24—5362no—
1482C24—671no—
1483C24—1341no—
1484C24—1341no—
1485C24—1341no—
1486C24—1341no—
1487C24—1341no—
1488C24—1341no—
1489C24—1341no—
1490#41—2681no—
1491#41—2681no—
1492#41—2681no—
1493#41—2681no—
1494#41—2681no—
1495#41—2684no—
1496#41—2681no—
1497#41—2681no—
1498#41—2681no—
1499#41—2681no—
1500#41—2681no—
1501#41—5362no—
1502#41—5362no—
1503#41—1342no—
1504#41—1342no—
1505C2×Q8—21no—
1506C2×Q8—2681no—
1507C2×Q8—2681no—
1508C2×Q8—671no—
1509C2×Q8—671no—
1510C2×Q8—671no—
1511C2×Q8—1341no—
1512C2×Q8—1341no—
1513C2×Q8C23×D6711yescharacteristic
1514C2×D4—22no—
1515C2×D4—22no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—41no—
1523C2×D4—41no—
1524C2×D4—82no—
1525C2×D4—2681no—
1526C2×D4—2681no—
1527C2×D4—2681no—
1528C2×D4—2684no—
1529C2×D4—2684no—
1530C2×D4—2684no—
1531C2×D4—2684no—
1532C2×D4—2684no—
1533C2×D4—2684no—
1534C2×D4—2681no—
1535C2×D4—2681no—
1536C2×D4—2681no—
1537C2×D4—2681no—
1538C2×D4—2681no—
1539C2×D4—5362no—
1540C2×D4—5362no—
1541C2×D4—5362no—
1542C2×D4—5362no—
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—671no—
1552C2×D4—671no—
1553C2×D4—1341no—
1554C2×D4—1341no—
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—1341no—
1568C2×D4—1342no—
1569C2×D4—1342no—
1570C2×D4—1342no—
1571C2×D4—1341no—
1572C2×D4—1341no—
1573C2×D4—1341no—
1574C2×D4—1341no—
1575C2×D4—1342no—
1576C2×D4—1341no—
1577C2×D4—1341no—
1578C2×D4—1341no—
1579C2×D4—1341no—
1580C2×D4—1342no—
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—2681no—
1591C22×C4—2681no—
1592C22×C4—671no—
1593C22×C4—671no—
1594C22×C4—671no—
1595C22×C4—671no—
1596C22×C4—671no—
1597C22×C4—671no—
1598C22×C4—1341no—
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—2681no—
1614Q16—2681no—
1615SD16—22no—
1616SD16—41no—
1617SD16—41no—
1618SD16—2681no—
1619SD16—2681no—
1620SD16—2681no—
1621SD16—2681no—
1622SD16—2681no—
1623SD16—2681no—
1624SD16—1342no—
1625SD16—1342no—
1626SD16—1342no—
1627D8—2681no—
1628D8—2681no—
1629D8—2681no—
1630D8—2681no—
1631D8—2681no—
1632D8—2681no—
1633D8—1342no—
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—21no—
1657C4⋊C4—21no—
1658C4⋊C4—21no—
1659C4⋊C4—671no—
1660C4⋊C4—671no—
1661C4⋊C4—671no—
1662C4⋊C4—671no—
1663C4⋊C4—671no—
1664C4⋊C4—671no—
1665C4⋊C4—671no—
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⋊C4D4×D6711yescharacteristic
1677C4⋊C4C23×D6711yescharacteristic
1678C4⋊C4C23×D6711yescharacteristic
1679C4⋊C4C23×D6711yescharacteristic
1680C4⋊C4C23×D6711yescharacteristic
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—671no—
1687C22⋊C4—671no—
1688C22⋊C4—671no—
1689C22⋊C4—671no—
1690C22⋊C4—671no—
1691C22⋊C4—671no—
1692C22⋊C4—671no—
1693C22⋊C4—671no—
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⋊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—42no—
1737C23—81no—
1738C23—81no—
1739C23—81no—
1740C23—2681no—
1741C23—2682no—
1742C23—2682no—
1743C23—2682no—
1744C23—2682no—
1745C23—2682no—
1746C23—2682no—
1747C23—2682no—
1748C23—2682no—
1749C23—2682no—
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—81no—
1777Q8—2681no—
1778Q8—5361no—
1779Q8—5361no—
1780Q8—1341no—
1781Q8—1341no—
1782Q8—1341no—
1783Q8—1341no—
1784D4—22no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—42no—
1791D4—42no—
1792D4—42no—
1793D4—81no—
1794D4—81no—
1795D4—81no—
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—2682no—
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#1452408912yes—
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—81no—
1845C2×C4—81no—
1846C2×C4—81no—
1847C2×C4—2682no—
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—162no—
1919C22—5364no—
1920C22—5364no—
1921C22—5364no—
1922C22—5364no—
1923C22—5364no—
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#1686420212yes—
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×#1452408911yescharacteristic
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#2257383911yescharacteristic
1971C2#576×D6711yescharacteristic
1972C2C2×#1686420211yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3295C2
socleC22×C67C23×D4
hypercenter#3295D67
hypocenterC67#61629
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3295

Complements

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

NH ≅ G/Ntype
1. #22574437C2semidirect
2. #22573837C2semidirect
3. #22572286C2semidirect
4. #22572284C2semidirect
5. #22572173C2semidirect
6. #22572167C2semidirect
7. #22572031C2semidirect
8. #22572021C2semidirect
9. #22572018C2semidirect
10. #22571923C2semidirect
11. #22571918C2semidirect
12. #22571896C2semidirect
13. #22571887C2semidirect
14. #22571702C2semidirect
15. #22571699C2semidirect
16. #22571686C2semidirect
17. #22571685C2semidirect
18. #22571308C2semidirect
19. #22571306C2semidirect
20. #22571066C2semidirect
21. #22571064C2semidirect
22. #22570985C2semidirect
23. #22570973C2semidirect
24. #22570399C2semidirect
25. #22570398C2semidirect
26. #22569518C2semidirect
27. #22569514C2semidirect
28. #450×D67C2semidirect
29. C2×#16863531C2semidirect
30. #22569262C2semidirect
31. C67×#3295C2semidirect
32. C2×#14524088C22semidirect
34. C2×#14524070C22semidirect
35. C2×#14524069C22semidirect
36. C2×#14524065C22semidirect
37. C2×#14524064C22semidirect
38. C2×SD16×D67C22semidirect
39. C2×SD16×D67C22semidirect
40. C22×D536C22semidirect
41. C22×#11761613C22semidirect
44. #16864101C22semidirect
45. #16864058C22semidirect
46. #16864056C22semidirect
47. #16864049C22semidirect
48. #16864047C22semidirect
49. #16864043C22semidirect
52. #16864042C22semidirect
53. #16864041C22semidirect
56. #16864037C22semidirect
59. #16864031C22semidirect
62. D4×C22⋊D67C22semidirect
65. #16864020C22semidirect
66. #16864018C22semidirect
69. #16863977C22semidirect
71. #16863976C22semidirect
72. #16863962C22semidirect
73. #16863959C22semidirect
78. C22⋊Q8×D67C22semidirect
79. C2×#14524018C22semidirect
82. #16863868C22semidirect
83. #16863783C22semidirect
84. #16863782C22semidirect
85. #16863780C22semidirect
86. #16863777C22semidirect
87. #16863758C22semidirect
88. #16863754C22semidirect
89. #16863741C22semidirect
90. #16863740C22semidirect
91. #16863736C22semidirect
92. #16863731C22semidirect
93. #16863728C22semidirect
94. #16863722C22semidirect
95. #16863722C22semidirect
96. #16863716C22semidirect
97. #16863709C22semidirect
98. #16863708C22semidirect
99. #16863708C22semidirect
100. #16863685C22semidirect
101. #16863674C22semidirect
102. #16863673C22semidirect
103. #16863650C22semidirect
104. #16863647C22semidirect
105. #16863644C22semidirect
106. #16863641C22semidirect
107. #16863637C22semidirect
108. #16863635C22semidirect
109. #16863632C22semidirect
110. #16863631C22semidirect
111. #16863631C22semidirect
112. #16863631C22semidirect
113. #16863626C22semidirect
114. #16863626C22semidirect
115. #16863626C22semidirect
116. #16863623C22semidirect
117. #16863618C22semidirect
118. #16863617C22semidirect
119. #16863614C22semidirect
120. #16863613C22semidirect
121. #16863612C22semidirect
122. #16863612C22semidirect
123. #16863611C22semidirect
124. #16863610C22semidirect
125. #16863595C22semidirect
126. #16863590C22semidirect
127. #16863588C22semidirect
128. #16863559C22semidirect
129. #16863559C22semidirect
130. #16863556C22semidirect
131. #16863555C22semidirect
132. #16863553C22semidirect
133. #16863549C22semidirect
134. #16863549C22semidirect
135. #16863548C22semidirect
136. #16863548C22semidirect
137. #16863548C22semidirect
138. #16863547C22semidirect
139. #16863546C22semidirect
140. #16863545C22semidirect
141. #16863545C22semidirect
142. #16863544C22semidirect
143. #16863543C22semidirect
144. #16863543C22semidirect
145. #16863542C22semidirect
146. #16863542C22semidirect
147. #16863542C22semidirect
148. #16863540C22semidirect
149. #16863539C22semidirect
150. #16863533C22semidirect
153. #16863531C22semidirect
154. #16863531C22semidirect
155. #16863531C22semidirect
156. #16863531C22semidirect
157. #16863531C22semidirect
158. #16863531C22semidirect
159. #16863531C22semidirect
160. #16863530C22semidirect
161. #16863529C22semidirect
162. #16863507C22semidirect
163. #16863506C22semidirect
164. #16863494C22semidirect
165. #16863493C22semidirect
166. #16863483C22semidirect
167. C4×D536C22semidirect
168. #16863476C22semidirect
169. #16863470C22semidirect
170. #16863468C22semidirect
171. #16863467C22semidirect
172. #16863466C22semidirect
173. C8×D268C22semidirect
174. C8×C22⋊D67C22semidirect
175. (C22⋊D67)⋊C8C22semidirect
176. #16863456C22semidirect
177. #16863455C22semidirect
178. #16863395C22semidirect
179. #16863394C22semidirect
180. C2×#14523963C22semidirect
181. #102×D67C22semidirect
182. #102×D67C22semidirect
183. #102×D67C22semidirect
184. #16863362C22semidirect
185. #16863361C22semidirect
186. C2×(C2×D67)⋊C8C22semidirect
187. C22⋊C8×D67C22semidirect
188. #554×C67C22semidirect
190. #486×C67C22semidirect
191. #481×C67C22semidirect
192. #481×C67C22semidirect
193. #476×C67C22semidirect
194. #465×C67C22semidirect
195. #465×C67C22semidirect
196. #460×C67C22semidirect
197. #450×C67C22semidirect
198. #450×C67C22semidirect
199. C4×SD16×C67C22semidirect
200. C8×D4×C67C22semidirect
201. C2×#102×C67C22semidirect
202. C2×#102×C67C22semidirect
207. C2×#11761629C23semidirect
211. C2×#11761628C23semidirect
240. C2×Dic268C23semidirect
241. C2×#11761618C23semidirect
244. C2×#11761617C23semidirect
245. C2×#11761617C23semidirect
248. C2×#11761616C23semidirect
263. C2×#11761613C23semidirect
264. C2×#11761613C23semidirect
265. C2×#11761612C23semidirect
266. C2×#11761611C23semidirect
270. C2×C8×D67C23semidirect
271. #14524042C23semidirect
278. #14524032C23semidirect
282. #14524031C23semidirect
305. #14524023C23semidirect
332. #14524018C23semidirect
337. #14524017C23semidirect
373. #14524008C23semidirect
377. C4×D268C23semidirect
382. #14524005C23semidirect
393. C4⋊C4×D67C23semidirect
404. #14523977C23semidirect
405. #14523976C23semidirect
406. #14523976C23semidirect
407. #14523976C23semidirect
408. #14523974C23semidirect
409. C4⋊(C67⋊C8)C23semidirect
410. Dic67⋊C8C23semidirect
411. Dic67⋊C8C23semidirect
412. #14523968C23semidirect
413. #14523968C23semidirect
414. #14523967C23semidirect
415. #14523966C23semidirect
416. #14523966C23semidirect
417. #14523966C23semidirect
418. #14523966C23semidirect
421. #14523965C23semidirect
422. #14523965C23semidirect
425. #14523964C23semidirect
432. #14523963C23semidirect
433. #14523963C23semidirect
435. C22⋊(C67⋊C8)C23semidirect
442. (C2×D67)⋊C8C23semidirect
443. (C2×D67)⋊C8C23semidirect
444. #14523954C23semidirect
445. #14523953C23semidirect
446. C8×Dic67C23semidirect
452. C2×SD16×C67C23semidirect
454. C22×C8×C67C23semidirect
455. C4⋊Q8×C67C23semidirect
461. C22⋊Q8×C67C23semidirect
467. C4×Q8×C67C23semidirect
472. C2×C4⋊C4×C67C23semidirect
473. #106×C67C23semidirect
474. #106×C67C23semidirect
475. #106×C67C23semidirect
476. C4⋊C8×C67C23semidirect
477. #103×C67C23semidirect
484. #102×C67C23semidirect
485. #102×C67C23semidirect
486. #102×C67C23semidirect
488. C22⋊C8×C67C23semidirect
489. C4×C8×C67C23semidirect
994. #3295D67semidirect
1018. C67#61629semidirect
1032. #554C2×D67semidirect
1079. #486C2×D67semidirect
1087. #481C2×D67semidirect
1088. #481C2×D67semidirect
1093. #476C2×D67semidirect
1110. #465C2×D67semidirect
1111. #465C2×D67semidirect
1121. #460C2×D67semidirect
1138. #450C2×D67semidirect
1139. #450C2×D67semidirect
1165. C4×SD16C2×D67semidirect
1175. C8×D4C2×D67semidirect
1184. C2×#102C2×D67semidirect
1185. C2×#102C2×D67semidirect
1245. C2×SD16C22×D67semidirect
1265. C22×C8C22×D67semidirect
1267. C4⋊Q8C22×D67semidirect
1322. C22⋊Q8C22×D67semidirect
1381. C4×Q8C22×D67semidirect
1406. C2×C4⋊C4C22×D67semidirect
1422. #106C22×D67semidirect
1423. #106C22×D67semidirect
1424. #106C22×D67semidirect
1428. C4⋊C8C22×D67semidirect
1436. #103C22×D67semidirect
1458. #102C22×D67semidirect
1459. #102C22×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
#225744372
#225738372
#225722862
#225722842
#225721732
#225721672
#225720312
#225720212
#225720182
#225719232
#225719182
#225718962
#225718872
#225717022
#225716992
#225716862
#225716852
#225713082
#225713062
#225710662
#225710642
#225709852
#225709732
#225703992
#225703982
#225695182
#225695142
#450×D672
C2×#168635312
#225692622
C67×#32952
#6162967