Finite Group Databasebeta

← #31732805

Subgroups — #31732805

Order 17152.

2572 conjugacy classes of subgroups.

The subgroup lattice has 1976 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22573768C211yesmaximal, characteristic, complemented
2D42×D67C211yesmaximal, characteristic, complemented
3#22572446C211yesmaximal, characteristic, complemented
4#22572444C211yesmaximal, characteristic, complemented
5#22572438C211yesmaximal, characteristic, complemented
6#22572436C211yesmaximal, characteristic, complemented
7#22572357C211yesmaximal, characteristic, complemented
8#22572355C211yesmaximal, characteristic, complemented
9#22572344C211yesmaximal, characteristic, complemented
10#22572232C211yesmaximal, characteristic, complemented
11#22572230C211yesmaximal, characteristic, complemented
12#22572229C211yesmaximal, characteristic, complemented
13#22572227C211yesmaximal, characteristic, complemented
14#22572031C211yesmaximal, characteristic, complemented
15#22572029C211yesmaximal, characteristic, complemented
16#22572017C211yesmaximal, characteristic, complemented
17#22572015C211yesmaximal, characteristic, complemented
18#22570582C211yesmaximal, characteristic, complemented
19#22570148C211yesmaximal, characteristic, complemented
20#22570146C211yesmaximal, characteristic, complemented
21#22570004C211yesmaximal, characteristic, complemented
22#22569827C211yesmaximal, characteristic, complemented
23#22569825C211yesmaximal, characteristic, complemented
24#22569684C211yesmaximal, characteristic, complemented
25#22569433C211yesmaximal, characteristic, complemented
26#22569433C211yesmaximal, characteristic, complemented
27#22569020C211yesmaximal, characteristic, complemented
28#22568942C211yesmaximal, characteristic, complemented
29C2×#16863399C211yesmaximal, characteristic, complemented
30#418×D67C211yesmaximal, characteristic, complemented
31C67×#3318C211yesmaximal, characteristic, complemented
32C22×D4×D67—21no—
33C22×D4×D67C2211yescharacteristic
34C22×D4×D67C2211yescharacteristic
35C2×#14524067C2211yescharacteristic
36C2×#14524067C2211yescharacteristic, complemented
37C2×#14524067C2211yescharacteristic, complemented
38C22×#11761611C2211yescharacteristic, complemented
39C2×M16×D67C2211yescharacteristic, complemented
40#16864114C2211yescharacteristic, complemented
41#16864110C2211yescharacteristic, complemented
42#16864101C2211yescharacteristic, complemented
43#16864096C2211yescharacteristic, complemented
44#16864086C2211yescharacteristic, complemented
45#16864084C2211yescharacteristic, complemented
46#16864082—21no—
47#16864075—21no—
48#16864074—21no—
49#16864046C2211yescharacteristic, complemented
50#16864035—21no—
51D4×D268C2211yescharacteristic
52D4×D268C2211yescharacteristic
53#16864031C2211yescharacteristic
54#16864030—21no—
55#16864030C2211yescharacteristic
56#16864030C2211yescharacteristic
57D4×C22⋊D67—21no—
58D4×C22⋊D67C2211yescharacteristic
59D4×C22⋊D67C2211yescharacteristic
60#16864028—21no—
61#16864028—21no—
62#16863952C2211yescharacteristic, complemented
63#127×D67C2211yescharacteristic
64#16863929—21no—
65#16863927—21no—
66#16863923—21no—
67#16863906C2211yescharacteristic, complemented
68#16863906C2211yescharacteristic, complemented
69#121×D67—21no—
70#121×D67C2211yescharacteristic
71#121×D67C2211yescharacteristic
72#120×D67—21no—
73#120×D67—21no—
74C4×#11761627—21no—
75C4×#11761627C2211yescharacteristic, complemented
76C4×D4×D67C2211yescharacteristic
77C4×D4×D67C2211yescharacteristic
78C2×#14524001C2211yescharacteristic, complemented
79#117×D67C2211yescharacteristic, complemented
80#16863762C2211yescharacteristic, complemented
81#16863761C2211yescharacteristic, complemented
82#16863760C2211yescharacteristic, complemented
83#16863741C2211yescharacteristic, complemented
84#16863741C2211yescharacteristic, complemented
85#16863741C2211yescharacteristic, complemented
86#16863741C2211yescharacteristic, complemented
87#16863722C2211yescharacteristic, complemented
88#16863722C2211yescharacteristic, complemented
89#16863721C2211yescharacteristic, complemented
90#16863720C2211yescharacteristic, complemented
91#16863718C2211yescharacteristic, complemented
92#16863718C2211yescharacteristic, complemented
93#16863717C2211yescharacteristic, complemented
94#16863716C2211yescharacteristic, complemented
95#16863714C2211yescharacteristic, complemented
96#16863713C2211yescharacteristic, complemented
97#16863711C2211yescharacteristic, complemented
98#16863710C2211yescharacteristic, complemented
99#16863708C2211yescharacteristic, complemented
100#16863707C2211yescharacteristic, complemented
101#16863697C2211yescharacteristic, complemented
102#16863696C2211yescharacteristic, complemented
103#16863693C2211yescharacteristic, complemented
104#16863685C2211yescharacteristic, complemented
105#16863684C2211yescharacteristic, complemented
106#16863675C2211yescharacteristic, complemented
107#16863674C2211yescharacteristic, complemented
108#16863648C2211yescharacteristic, complemented
109#16863647C2211yescharacteristic, complemented
110#16863646C2211yescharacteristic, complemented
111#16863643C2211yescharacteristic, complemented
112#16863642C2211yescharacteristic, complemented
113#16863641C2211yescharacteristic, complemented
114#16863640C2211yescharacteristic, complemented
115#16863631C2211yescharacteristic, complemented
116#16863630C2211yescharacteristic, complemented
117#16863629C2211yescharacteristic, complemented
118#16863626C2211yescharacteristic, complemented
119#16863625C2211yescharacteristic, complemented
120#16863624C2211yescharacteristic, complemented
121#16863623C2211yescharacteristic, complemented
122#16863597C2211yescharacteristic, complemented
123#16863595C2211yescharacteristic, complemented
124#16863595C2211yescharacteristic, complemented
125#16863593C2211yescharacteristic, complemented
126#16863591C2211yescharacteristic, complemented
127#16863589C2211yescharacteristic, complemented
128#16863589C2211yescharacteristic, complemented
129#16863549C2211yescharacteristic, complemented
130#16863549C2211yescharacteristic, complemented
131#16863548C2211yescharacteristic, complemented
132#16863548C2211yescharacteristic, complemented
133#16863548C2211yescharacteristic, complemented
134#16863548C2211yescharacteristic, complemented
135#16863547C2211yescharacteristic, complemented
136#16863547C2211yescharacteristic, complemented
137#16863529C2211yescharacteristic, complemented
138#16863529C2211yescharacteristic, complemented
139#16863528C2211yescharacteristic, complemented
140#16863528C2211yescharacteristic, complemented
141#16863528C2211yescharacteristic, complemented
142#16863528C2211yescharacteristic, complemented
143#16863506C2211yescharacteristic, complemented
144#16863498C2211yescharacteristic, complemented
145#16863496C2211yescharacteristic, complemented
146#16863487C2211yescharacteristic, complemented
147#16863483C2211yescharacteristic, complemented
148D8×Dic67C2211yescharacteristic, complemented
149#16863476C2211yescharacteristic, complemented
150#16863472C2211yescharacteristic, complemented
151#16863471C2211yescharacteristic, complemented
152#16863469C2211yescharacteristic, complemented
153#16863468C2211yescharacteristic, complemented
154#16863466C2211yescharacteristic, complemented
155C8×C22⋊D67C2211yescharacteristic, complemented
156(C22⋊D67)⋊C8C2211yescharacteristic, complemented
157#16863437C2211yescharacteristic, complemented
158#16863435C2211yescharacteristic, complemented
159#16863435C2211yescharacteristic, complemented
160#16863418C2211yescharacteristic, complemented
161#16863402C2211yescharacteristic, complemented
162#16863401C2211yescharacteristic, complemented
163#16863400C2211yescharacteristic, complemented
164#16863399C2211yescharacteristic
165#16863399C2211yescharacteristic
166#16863399C2211yescharacteristic
167#16863399C2211yescharacteristic, complemented
168#16863399C2211yescharacteristic, complemented
169#16863399C2211yescharacteristic, complemented
170#16863399C2211yescharacteristic, complemented
171#16863399C2211yescharacteristic, complemented
172#16863399C2211yescharacteristic, complemented
173#16863399C2211yescharacteristic, complemented
174#16863399C2211yescharacteristic, complemented
175#16863399C2211yescharacteristic, complemented
176#16863399C2211yescharacteristic, complemented
177#16863394C2211yescharacteristic, complemented
178C2×#14523965C2211yescharacteristic, complemented
179C2×#14523964C2211yescharacteristic, complemented
180C2×#14523963C2211yescharacteristic, complemented
181#102×D67C2211yescharacteristic, complemented
182#102×D67C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184#102×D67C2211yescharacteristic, complemented
185#16863358C2211yescharacteristic, complemented
186#16863358C2211yescharacteristic, complemented
187#16863348C2211yescharacteristic, complemented
188#553×C67C2211yescharacteristic, complemented
189D42×C67C2211yescharacteristic
190#490×C67C2211yescharacteristic, complemented
191#482×C67C2211yescharacteristic, complemented
192#481×C67C2211yescharacteristic, complemented
193#478×C67C2211yescharacteristic, complemented
194#469×C67C2211yescharacteristic, complemented
195#466×C67C2211yescharacteristic, complemented
196#459×C67C2211yescharacteristic, complemented
197#447×C67C2211yescharacteristic, complemented
198#447×C67C2211yescharacteristic, complemented
199#442×C67C2211yescharacteristic, complemented
200#435×C67C2211yescharacteristic, complemented
201#418×C67C2211yescharacteristic, complemented
202C2×#102×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204C24×D67—21no—
205C2×#11761627—21no—
206C2×#11761627C2311yescharacteristic
207C22×D268—21no—
208C22×D268C2311yescharacteristic
209C22×D268C2311yescharacteristic
210C22×C22⋊D67—21no—
211C22×C22⋊D67—21no—
212C22×C22⋊D67—21no—
213C22×C22⋊D67—21no—
214C2×D4×D67—24no—
215C2×D4×D67—24no—
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—21no—
225C2×D4×D67—21no—
226C2×D4×D67—21no—
227C2×D4×D67—21no—
228C2×D4×D67—42no—
229C2×D4×D67—42no—
230C2×D4×D67—48no—
231C2×D4×D67D411yescharacteristic
232C2×D4×D67C2311yescharacteristic
233C2×D4×D67C2311yescharacteristic
234C2×D4×D67C2311yescharacteristic
235C2×D4×D67C2311yescharacteristic
236C2×D4×D67C2311yescharacteristic
237C2×D4×D67C2311yescharacteristic
238C2×D4×D67C2311yescharacteristic
239C22×C4×D67—21no—
240C22×C4×D67C2311yescharacteristic
241C22×C4×D67C2311yescharacteristic
242#14524067—24no—
243#14524067—42no—
244#14524067—42no—
245C2×#11761617C2311yescharacteristic
246C2×#11761617C2311yescharacteristic, complemented
247C2×#11761617C2311yescharacteristic, complemented
248C2×#11761616C2311yescharacteristic
249C2×#11761616C2311yescharacteristic, complemented
250C2×#11761616C2311yescharacteristic, complemented
251C2×#11761613C2311yescharacteristic
252C2×#11761613C2311yescharacteristic, complemented
253C2×#11761613C2311yescharacteristic, complemented
254C2×#11761612C2311yescharacteristic, complemented
255C2×#11761611—42no—
256C2×#11761611C2311yescharacteristic
257C2×#11761611C2311yescharacteristic
258C2×#11761611C2311yescharacteristic
259C2×#11761611C2311yescharacteristic
260C2×#11761611C2311yescharacteristic, complemented
261C2×#11761611C2311yescharacteristic, complemented
262M16×D67—42no—
263C22×C67⋊C8C2311yescharacteristic, complemented
264C2×C8×D67C2311yescharacteristic, complemented
265C2×C8×D67C2311yescharacteristic, complemented
266#14524042C2311yescharacteristic, complemented
267#14524042C2311yescharacteristic, complemented
268#14524040C2311yescharacteristic
269#14524039—21no—
270#14524039—21no—
271#14524039C2311yescharacteristic
272#14524039C2311yescharacteristic
273#14524038—21no—
274#14524037—21no—
275#14524036—21no—
276#14524036—21no—
277#14524036—21no—
278#14524035C2311yescharacteristic, complemented
279#14524034—21no—
280#14524033—21no—
281#14524033—21no—
282#14524030—21no—
283#14524029—21no—
284#14524029—21no—
285#14524028—21no—
286#14524026—21no—
287#14524025—21no—
288#14524025—21no—
289#14524025—21no—
290#14524024—21no—
291#14524024—21no—
292#14524023C2311yescharacteristic, complemented
293#14524023C2311yescharacteristic, complemented
294#14524022—21no—
295#14524022C2311yescharacteristic, complemented
296#14524022C2311yescharacteristic, complemented
297#14524021—21no—
298#14524021—21no—
299#14524021—21no—
300#14524020—21no—
301#14524018—21no—
302#14524018C2311yescharacteristic
303#14524018C2311yescharacteristic
304#14524017—21no—
305#14524017C2311yescharacteristic
306#14524017C2311yescharacteristic
307#14524016—21no—
308#14524016—21no—
309#14524016—21no—
310#14524016—21no—
311#14524016—21no—
312#14524015—21no—
313#14524015—21no—
314#14524015—21no—
315#14524015—21no—
316#14524015—21no—
317#14524014—21no—
318#14524014C2311yescharacteristic
319#14524014C2311yescharacteristic
320#14524014C2311yescharacteristic, complemented
321#14524014C2311yescharacteristic, complemented
322#14524013—21no—
323#14524013—21no—
324#14524013—21no—
325#14524013—21no—
326#14524013—21no—
327#14524013—21no—
328#14524012—21no—
329#14524012—21no—
330#14524011—21no—
331#14524011—21no—
332#14524011—21no—
333#14524011—21no—
334#14524011—21no—
335#14524011—21no—
336#14524011—21no—
337#14524011—21no—
338C4×Dic134—21no—
339C4×Dic134C2311yescharacteristic, complemented
340#14524008—21no—
341#14524008—21no—
342#14524008C2311yescharacteristic, complemented
343C4×D268C2311yescharacteristic
344C4×D268C2311yescharacteristic
345D4×Dic67—21no—
346D4×Dic67—21no—
347D4×Dic67D411yescharacteristic
348D4×Dic67C2311yescharacteristic
349D4×Dic67C2311yescharacteristic, complemented
350#14524005D411yescharacteristic
351#14524005C2311yescharacteristic
352C4×C22⋊D67—21no—
353C4×C22⋊D67—21no—
354C4×C22⋊D67—21no—
355C4×C22⋊D67—21no—
356C4×C22⋊D67C2311yescharacteristic
357C4×C22⋊D67C2311yescharacteristic
358(C22⋊D67)⋊C4—21no—
359(C22⋊D67)⋊C4—21no—
360(C22⋊D67)⋊C4—21no—
361(C22⋊D67)⋊C4—21no—
362(C22⋊D67)⋊C4D411yescharacteristic
363(C22⋊D67)⋊C4D411yescharacteristic
364#14524002C2311yescharacteristic, complemented
365#14524001—21no—
366#14524001—21no—
367#14524001—21no—
368#14524001C2311yescharacteristic
369#14524001C2311yescharacteristic
370#14524001C2311yescharacteristic
371#14524001C2311yescharacteristic, complemented
372#14524001C2311yescharacteristic, complemented
373#14524000—21no—
374#14523999—21no—
375#14523999—21no—
376#14523999—21no—
377#14523999—21no—
378C2×C4⋊Dic67C2311yescharacteristic, complemented
379C4⋊C4×D67D411yescharacteristic
380C4⋊C4×D67C2311yescharacteristic
381C4⋊C4×D67C2311yescharacteristic, complemented
382C4⋊C4×D67C2311yescharacteristic, complemented
383C2×(C2×D67)⋊C4—21no—
384C22⋊C4×D67—21no—
385C22⋊C4×D67—21no—
386C22⋊C4×D67—21no—
387C22⋊C4×D67—21no—
388C22⋊C4×D67D411yescharacteristic
389C22⋊C4×D67D411yescharacteristic
390C2×C4×Dic67—21no—
391C2×C4×Dic67—21no—
392C42×D67—21no—
393C42×D67C2311yescharacteristic
394#14523977C2311yescharacteristic, complemented
395#14523977C2311yescharacteristic, complemented
396#14523976C2311yescharacteristic, complemented
397#14523976C2311yescharacteristic, complemented
398#14523976C2311yescharacteristic, complemented
399#14523975C2311yescharacteristic, complemented
400#14523974C2311yescharacteristic, complemented
401#14523974C2311yescharacteristic, complemented
402#14523974C2311yescharacteristic, complemented
403C4⋊(C67⋊C8)C2311yescharacteristic, complemented
404Dic67⋊C8C2311yescharacteristic, complemented
405Dic67⋊C8C2311yescharacteristic, complemented
406#14523968C2311yescharacteristic, complemented
407#14523966C2311yescharacteristic, complemented
408#14523965C2311yescharacteristic
409#14523965C2311yescharacteristic
410#14523965C2311yescharacteristic
411#14523965C2311yescharacteristic, complemented
412#14523965C2311yescharacteristic, complemented
413#14523965C2311yescharacteristic, complemented
414#14523965C2311yescharacteristic, complemented
415#14523965C2311yescharacteristic, complemented
416#14523965C2311yescharacteristic, complemented
417#14523964C2311yescharacteristic
418#14523964C2311yescharacteristic
419#14523964C2311yescharacteristic
420#14523964C2311yescharacteristic, complemented
421#14523964C2311yescharacteristic, complemented
422#14523964C2311yescharacteristic, complemented
423#14523964C2311yescharacteristic, complemented
424#14523964C2311yescharacteristic, complemented
425#14523964C2311yescharacteristic, complemented
426#14523964C2311yescharacteristic, complemented
427#14523963C2311yescharacteristic
428#14523963C2311yescharacteristic
429#14523963C2311yescharacteristic
430#14523963C2311yescharacteristic, complemented
431#14523963C2311yescharacteristic, complemented
432#14523963C2311yescharacteristic, complemented
433#14523963C2311yescharacteristic, complemented
434#14523963C2311yescharacteristic, complemented
435#14523963C2311yescharacteristic, complemented
436C22⋊(C67⋊C8)C2311yescharacteristic, complemented
437C22⋊(C67⋊C8)C2311yescharacteristic, complemented
438(C2×D67)⋊C8C2311yescharacteristic, complemented
439(C2×D67)⋊C8C2311yescharacteristic, complemented
440(C2×D67)⋊C8C2311yescharacteristic, complemented
441(C2×D67)⋊C8C2311yescharacteristic, complemented
442#14523954C2311yescharacteristic, complemented
443C8×Dic67C2311yescharacteristic, complemented
444C8×Dic67C2311yescharacteristic, complemented
445C22×D4×C67—21no—
446C22×D4×C67C2311yescharacteristic
447C22×D4×C67C2311yescharacteristic
448C2×D8×C67C2311yescharacteristic
449C2×D8×C67C2311yescharacteristic, complemented
450C2×D8×C67C2311yescharacteristic, complemented
451C2×M16×C67C2311yescharacteristic, complemented
452C22×C8×C67C2311yescharacteristic, complemented
453#127×C67C2311yescharacteristic
454#126×C67—21no—
455#125×C67C2311yescharacteristic, complemented
456#123×C67—21no—
457#121×C67—21no—
458#121×C67—21no—
459#121×C67C2311yescharacteristic
460#121×C67C2311yescharacteristic
461#121×C67C2311yescharacteristic, complemented
462#121×C67C2311yescharacteristic, complemented
463#120×C67—21no—
464#120×C67—21no—
465C4×D4×C67—21no—
466C4×D4×C67C2311yescharacteristic
467C4×D4×C67C2311yescharacteristic
468C4×D4×C67C2311yescharacteristic, complemented
469#117×C67C2311yescharacteristic, complemented
470C2×C4⋊C4×C67C2311yescharacteristic, complemented
471#107×C67C2311yescharacteristic, complemented
472#106×C67C2311yescharacteristic, complemented
473#106×C67C2311yescharacteristic, complemented
474C4⋊C8×C67C2311yescharacteristic, complemented
475#102×C67C2311yescharacteristic
476#102×C67C2311yescharacteristic
477#102×C67C2311yescharacteristic
478#102×C67C2311yescharacteristic, complemented
479#102×C67C2311yescharacteristic, complemented
480#102×C67C2311yescharacteristic, complemented
481#102×C67C2311yescharacteristic, complemented
482#102×C67C2311yescharacteristic, complemented
483#102×C67C2311yescharacteristic, complemented
484#102×C67C2311yescharacteristic, complemented
485C22⋊C8×C67C2311yescharacteristic, complemented
486C22⋊C8×C67C2311yescharacteristic, complemented
487#97×C67C2311yescharacteristic, complemented
488C23×D67—21no—
489C23×D67—21no—
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—44no—
499C23×D67—44no—
500C23×D67—44no—
501C23×D67—82no—
502C23×D67—82no—
503C23×D67C2×D411yescharacteristic
504C23×D67C2×D411yescharacteristic
505#11761627—22no—
506#11761627—22no—
507#11761627—44no—
508C2×Dic134—21no—
509C2×Dic134—21no—
510C2×Dic134C2411yescharacteristic
511C2×D268—22no—
512C2×D268—22no—
513C2×D268—21no—
514C2×D268—21no—
515C2×D268—21no—
516C2×D268—21no—
517C2×D268—21no—
518C2×D268—21no—
519C2×D268—41no—
520C2×D268—41no—
521C2×D268—44no—
522C2×D268C2×D411yescharacteristic
523C2×D268C2411yescharacteristic
524C2×D268C2411yescharacteristic
525C2×D268C2411yescharacteristic
526C2×C22⋊D67—21no—
527C2×C22⋊D67—21no—
528C2×C22⋊D67—21no—
529C2×C22⋊D67—21no—
530C2×C22⋊D67—21no—
531C2×C22⋊D67—21no—
532C2×C22⋊D67—21no—
533C2×C22⋊D67—21no—
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—44no—
545C2×C22⋊D67—44no—
546C2×C22⋊D67—44no—
547C2×C22⋊D67—44no—
548C2×C22⋊D67C2×D411yescharacteristic
549C2×C22⋊D67C2×D411yescharacteristic
550D4×D67—24no—
551D4×D67—22no—
552D4×D67—22no—
553D4×D67—22no—
554D4×D67—22no—
555D4×D67—22no—
556D4×D67—22no—
557D4×D67—22no—
558D4×D67—22no—
559D4×D67—22no—
560D4×D67—41no—
561D4×D67—41no—
562D4×D67—41no—
563D4×D67—41no—
564D4×D67—44no—
565D4×D67—44no—
566D4×D67—44no—
567D4×D67—44no—
568D4×D67—44no—
569D4×D67—44no—
570D4×D67—44no—
571D4×D67—44no—
572D4×D67—44no—
573D4×D67—44no—
574D4×D67—44no—
575D4×D67—82no—
576D4×D67#4114yescomplemented
577C22×Dic67—21no—
578C22×Dic67—21no—
579C22×Dic67—21no—
580C22×Dic67—21no—
581C22×Dic67C2×D411yescharacteristic
582C22×Dic67C2×D411yescharacteristic
583C2×C4×D67—22no—
584C2×C4×D67—22no—
585C2×C4×D67—22no—
586C2×C4×D67—22no—
587C2×C4×D67—21no—
588C2×C4×D67—21no—
589C2×C4×D67—21no—
590C2×C4×D67—21no—
591C2×C4×D67—21no—
592C2×C4×D67—44no—
593C2×C4×D67C2×D411yescharacteristic
594C2×C4×D67C2×D411yescharacteristic
595C2×C4×D67C2×D411yescharacteristic
596C2×C4×D67C2×D411yescharacteristic
597C2×C4×D67C2×D411yescharacteristic
598C2×C4×D67C2×D411yescharacteristic
599C2×C4×D67C2411yescharacteristic
600C2×C4×D67C2411yescharacteristic
601C2×C4×D67C2411yescharacteristic
602#11761617—22no—
603#11761617—41no—
604#11761617—41no—
605#11761616—22no—
606#11761616—41no—
607#11761616—41no—
608#11761613—22no—
609#11761613—41no—
610#11761613—41no—
611#11761612—41no—
612#11761611—22no—
613#11761611—22no—
614#11761611—22no—
615#11761611—22no—
616#11761611—41no—
617#11761611—41no—
618C2×C67⋊C8—41no—
619C2×C67⋊C8C2411yescharacteristic
620C2×C67⋊C8C2411yescharacteristic
621C2×C67⋊C8C2411yescharacteristic
622C2×C67⋊C8C2411yescharacteristic
623C8×D67—41no—
624C8×D67—41no—
625C4⋊Dic67—21no—
626C4⋊Dic67—21no—
627C4⋊Dic67—21no—
628C4⋊Dic67C2×D411yescharacteristic
629C4⋊Dic67C2411yescharacteristic
630C4⋊Dic67C2411yescharacteristic
631C4⋊Dic67C2411yescharacteristic
632C4⋊Dic67C2411yescharacteristic
633Dic67⋊C4—21no—
634Dic67⋊C4—21no—
635Dic67⋊C4—21no—
636Dic67⋊C4—21no—
637Dic67⋊C4—21no—
638Dic67⋊C4—21no—
639Dic67⋊C4—21no—
640Dic67⋊C4—21no—
641Dic67⋊C4—21no—
642Dic67⋊C4—21no—
643Dic67⋊C4—21no—
644Dic67⋊C4C2×D411yescharacteristic
645Dic67⋊C4C2×D411yescharacteristic
646C22⋊Dic67—21no—
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⋊Dic67C2×D411yescharacteristic
656C22⋊Dic67C2×D411yescharacteristic
657(C2×D67)⋊C4—21no—
658(C2×D67)⋊C4—21no—
659(C2×D67)⋊C4—21no—
660(C2×D67)⋊C4—21no—
661(C2×D67)⋊C4—21no—
662(C2×D67)⋊C4—21no—
663(C2×D67)⋊C4—21no—
664(C2×D67)⋊C4—21no—
665(C2×D67)⋊C4—21no—
666(C2×D67)⋊C4—21no—
667(C2×D67)⋊C4—21no—
668(C2×D67)⋊C4—21no—
669(C2×D67)⋊C4—21no—
670(C2×D67)⋊C4C2×D411yescharacteristic
671(C2×D67)⋊C4C2×D411yescharacteristic
672(C2×D67)⋊C4C2×D411yescharacteristic
673(C2×D67)⋊C4C2×D411yescharacteristic
674C4×Dic67—21no—
675C4×Dic67—21no—
676C4×Dic67—21no—
677C4×Dic67—21no—
678C4×Dic67—21no—
679C4×Dic67—21no—
680C4×Dic67—21no—
681C4×Dic67—21no—
682C4×Dic67C2×D411yescharacteristic
683C4×Dic67C2×D411yescharacteristic
684C4×Dic67C2411yescharacteristic
685C24×C67—21no—
686C24×C67—21no—
687C2×D4×C67—22no—
688C2×D4×C67—22no—
689C2×D4×C67—21no—
690C2×D4×C67—21no—
691C2×D4×C67—21no—
692C2×D4×C67—21no—
693C2×D4×C67—21no—
694C2×D4×C67—21no—
695C2×D4×C67—21no—
696C2×D4×C67—21no—
697C2×D4×C67—41no—
698C2×D4×C67—41no—
699C2×D4×C67—44no—
700C2×D4×C67C2×D411yescharacteristic
701C2×D4×C67C2411yescharacteristic
702C2×D4×C67C2411yescharacteristic
703C2×D4×C67C2411yescharacteristic
704C2×D4×C67C2411yescharacteristic
705C22×C4×C67—21no—
706C22×C4×C67—21no—
707C22×C4×C67—21no—
708C22×C4×C67C2411yescharacteristic
709C22×C4×C67C2411yescharacteristic
710D8×C67—22no—
711D8×C67—41no—
712D8×C67—41no—
713M16×C67—41no—
714C2×C8×C67—41no—
715C2×C8×C67C2411yescharacteristic
716C2×C8×C67C2411yescharacteristic
717C2×C8×C67C2411yescharacteristic
718C2×C8×C67C2411yescharacteristic
719C4⋊C4×C67—21no—
720C4⋊C4×C67—21no—
721C4⋊C4×C67—21no—
722C4⋊C4×C67C2×D411yescharacteristic
723C4⋊C4×C67C2411yescharacteristic
724C4⋊C4×C67C2411yescharacteristic
725C4⋊C4×C67C2411yescharacteristic
726C4⋊C4×C67C2411yescharacteristic
727C22⋊C4×C67—21no—
728C22⋊C4×C67—21no—
729C22⋊C4×C67—21no—
730C22⋊C4×C67—21no—
731C22⋊C4×C67—21no—
732C22⋊C4×C67—21no—
733C22⋊C4×C67—21no—
734C22⋊C4×C67C2×D411yescharacteristic
735C22⋊C4×C67C2×D411yescharacteristic
736C42×C67—21no—
737C42×C67C2411yescharacteristic
738C23×C67—21no—
739C23×C67—21no—
740C23×C67—21no—
741C23×C67—21no—
742C23×C67—42no—
743C23×C67—42no—
744C23×C67—42no—
745C23×C67—42no—
746C23×C67—81no—
747C23×C67—81no—
748C23×C67C22×D411yescharacteristic
749C23×C67C22×D411yescharacteristic
750C22×D67—22no—
751C22×D67—21no—
752C22×D67—22no—
753C22×D67—22no—
754C22×D67—24no—
755C22×D67—22no—
756C22×D67—21no—
757C22×D67—21no—
758C22×D67—41no—
759C22×D67—41no—
760C22×D67—42no—
761C22×D67—42no—
762C22×D67—42no—
763C22×D67—42no—
764C22×D67—42no—
765C22×D67—42no—
766C22×D67—42no—
767C22×D67—42no—
768C22×D67—42no—
769C22×D67—42no—
770C22×D67—42no—
771C22×D67—42no—
772C22×D67—42no—
773C22×D67—42no—
774C22×D67—42no—
775C22×D67—42no—
776C22×D67—42no—
777C22×D67—42no—
778C22×D67—42no—
779C22×D67—42no—
780C22×D67—81no—
781C22×D67—81no—
782C22×D67—81no—
783C22×D67—81no—
784C22×D67—81no—
785C22×D67—81no—
786C22×D67—816no—
787C22×D67—816no—
788C22×D67C22×D411yescharacteristic
789C22×D67C22×D411yescharacteristic
790C22×D67C22×D411yescharacteristic
791D4×C67—22no—
792D4×C67—21no—
793D4×C67—21no—
794D4×C67—21no—
795D4×C67—21no—
796D4×C67—21no—
797D4×C67—21no—
798D4×C67—21no—
799D4×C67—42no—
800D4×C67—42no—
801D4×C67—42no—
802D4×C67—42no—
803D4×C67—42no—
804D4×C67—42no—
805D4×C67—81no—
806D4×C67—81no—
807D4×C67C2×#4112yes—
808C2×C4×C67—21no—
809C2×C4×C67—21no—
810C2×C4×C67—21no—
811C2×C4×C67—21no—
812C2×C4×C67—21no—
813C2×C4×C67—21no—
814C2×C4×C67—21no—
815C2×C4×C67—21no—
816C2×C4×C67—42no—
817C2×C4×C67—81no—
818C2×C4×C67—81no—
819C2×C4×C67C22×D411yescharacteristic
820C2×C4×C67C22×D411yescharacteristic
821C2×C4×C67C22×D411yescharacteristic
822C2×C4×C67C22×D411yescharacteristic
823C2×C4×C67C2511yescharacteristic
824C22⋊D67—24no—
825C22⋊D67—22no—
826C22⋊D67—42no—
827C22⋊D67—42no—
828C22⋊D67—42no—
829C22⋊D67—42no—
830C22⋊D67—42no—
831C22⋊D67—42no—
832C22⋊D67—42no—
833C22⋊D67—42no—
834C22⋊D67—42no—
835C22⋊D67—42no—
836C22⋊D67—42no—
837C22⋊D67—42no—
838C22⋊D67—42no—
839C22⋊D67—42no—
840C22⋊D67—81no—
841C22⋊D67—81no—
842C22⋊D67—81no—
843C22⋊D67AGL(1,ℤ/8)14yescomplemented
844C2×Dic67—22no—
845C2×Dic67—22no—
846C2×Dic67—21no—
847C2×Dic67—21no—
848C2×Dic67—21no—
849C2×Dic67—21no—
850C2×Dic67—21no—
851C2×Dic67—42no—
852C2×Dic67—42no—
853C2×Dic67—42no—
854C2×Dic67—42no—
855C2×Dic67C22×D411yescharacteristic
856C2×Dic67C22×D411yescharacteristic
857C2×Dic67C22×D411yescharacteristic
858C2×Dic67C22×D411yescharacteristic
859C2×Dic67C22×D411yescharacteristic
860D268—22no—
861D268—21no—
862D268—21no—
863D268—21no—
864D268—21no—
865D268—21no—
866D268—42no—
867D268—42no—
868D268—42no—
869D268—42no—
870D268—42no—
871D268—81no—
872D268C2×#4112yes—
873C4×D67—22no—
874C4×D67—22no—
875C4×D67—21no—
876C4×D67—21no—
877C4×D67—21no—
878C4×D67—21no—
879C4×D67—22no—
880C4×D67—22no—
881C4×D67—22no—
882C4×D67—41no—
883C4×D67—42no—
884C4×D67—42no—
885C4×D67—42no—
886C4×D67—42no—
887C4×D67—81no—
888C4×D67C2×#4112yes—
889C4×D67H(5,𝔽2)12yes—
890Dic134—21no—
891Dic134—21no—
892Dic134—42no—
893Dic134—81no—
894C8×C67—21no—
895C8×C67—21no—
896C8×C67—21no—
897C8×C67—21no—
898C67⋊C8—21no—
899C67⋊C8—21no—
900C67⋊C8—21no—
901C67⋊C8—21no—
902C22×C67—21no—
903C22×C67—21no—
904C22×C67—21no—
905C22×C67—21no—
906C22×C67—22no—
907C22×C67—21no—
908C22×C67—41no—
909C22×C67—41no—
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—41no—
919C22×C67—84no—
920C22×C67—84no—
921C22×C67C2×AGL(1,ℤ/8)12yes—
922C22×C67C23×D411yescharacteristic
923C2×D67—21no—
924C2×D67—21no—
925C2×D67—21no—
926C2×D67—21no—
927C2×D67—21no—
928C2×D67—21no—
929C2×D67—22no—
930C2×D67—21no—
931C2×D67—44no—
932C2×D67—44no—
933C2×D67—48no—
934C2×D67—41no—
935C2×D67—41no—
936C2×D67—41no—
937C2×D67—41no—
938C2×D67—41no—
939C2×D67—41no—
940C2×D67—41no—
941C2×D67—41no—
942C2×D67—84no—
943C2×D67—84no—
944C2×D67—84no—
945C2×D67—84no—
946C2×D67—84no—
947C2×D67—84no—
948C2×D67—84no—
949C2×D67—84no—
950C2×D67#54612yes—
951C2×D67C2×AGL(1,ℤ/8)12yes—
952C4×C67—21no—
953C4×C67—21no—
954C4×C67—21no—
955C4×C67—21no—
956C4×C67—41no—
957C4×C67—41no—
958C4×C67—41no—
959C4×C67—41no—
960C4×C67C22×#4111yescharacteristic
961C4×C67C2×H(5,𝔽2)11yescharacteristic
962Dic67—21no—
963Dic67—21no—
964Dic67—21no—
965Dic67—41no—
966Dic67—41no—
967Dic67—41no—
968Dic67—41no—
969Dic67—41no—
970Dic67#54612yes—
971Dic67C2×AGL(1,ℤ/8)12yes—
972#61155—671nomaximal, Sylow
973C2×C67—22no—
974C2×C67—41no—
975C2×C67—42no—
976C2×C67—81no—
977C2×C67—81no—
978C2×C67—81no—
979C2×C67C2×#54611yescharacteristic
980C2×C67C22×AGL(1,ℤ/8)11yescharacteristic
981C2×C67#358511yescharacteristic
982D67—22no—
983D67—22no—
984D67—41no—
985D67—42no—
986D67—81no—
987D67—81no—
988#3475—671no—
989C2×D42—671no—
990#3325—671no—
991#3325—671no—
992#3324—671no—
993#3324—671no—
994#3318—671no—
995#3318—671no—
996#3318—671no—
997#3318D6711yescharacteristic, complemented
998#3310—671no—
999#3310—671no—
1000#3310—671no—
1001#3310—671no—
1002#3295—671no—
1003#3295—671no—
1004#3294—671no—
1005#3294—671no—
1006#3138—671no—
1007#3094—671no—
1008#3094—671no—
1009#3077—671no—
1010#3055—671no—
1011#3055—671no—
1012#3038—671no—
1013#3003—671no—
1014#3003—671no—
1015C4×AGL(1,ℤ/8)—671no—
1016D4×M16—671no—
1017C2×#418—671no—
1018C2×#418—671no—
1019C67#6115511yescharacteristic, complemented, Sylow
1020C23×D4—671no—
1021C23×D4—671no—
1022C23×D4—1341no—
1023C2×AGL(1,ℤ/8)—671no—
1024C2×AGL(1,ℤ/8)—671no—
1025C2×AGL(1,ℤ/8)—671no—
1026C22×M16—671no—
1027C22×M16—671no—
1028#556—671no—
1029#555—671no—
1030#554—671no—
1031#553—671no—
1032#553C2×D6711yescharacteristic, complemented
1033#552—671no—
1034#552—671no—
1035#552—1341no—
1036#551—1341no—
1037#551—1341no—
1038#547—671no—
1039#546—1341no—
1040D42—671no—
1041D42—671no—
1042D42—671no—
1043D42—671no—
1044D42—671no—
1045D42—671no—
1046D42—671no—
1047D42—1341no—
1048D42—1341no—
1049D42—1341no—
1050D42—1341no—
1051D42C2×D6711yescharacteristic
1052#533—671no—
1053C2×#127—671no—
1054#529—1341no—
1055#529—1341no—
1056#529—1341no—
1057#525—671no—
1058#525—671no—
1059C2×#121—671no—
1060C2×#121—671no—
1061C2×#121—1341no—
1062C2×#120—1341no—
1063C2×#120—1341no—
1064C4×#41—671no—
1065C4×#41—1341no—
1066C2×C4×D4—671no—
1067C2×C4×D4—671no—
1068C2×#117—671no—
1069C2×#117—671no—
1070#490—671no—
1071#490—671no—
1072#490—671no—
1073#490C2×D6711yescharacteristic, complemented
1074#486—671no—
1075#486—671no—
1076#486—671no—
1077#486—671no—
1078#482—671no—
1079#482—671no—
1080#482—671no—
1081#482—671no—
1082#482—671no—
1083#482—671no—
1084#482—671no—
1085#482C2×D6711yescharacteristic, complemented
1086#481—671no—
1087#481—671no—
1088#481—671no—
1089#481C2×D6711yescharacteristic, complemented
1090#480—671no—
1091#480—671no—
1092#480—671no—
1093#480—671no—
1094#478—671no—
1095#478—671no—
1096#478—671no—
1097#478C2×D6711yescharacteristic, complemented
1098#476—671no—
1099#476—671no—
1100#474—671no—
1101#474—671no—
1102#469—671no—
1103#469—671no—
1104#469—671no—
1105#469C2×D6711yescharacteristic, complemented
1106#468—671no—
1107#468—671no—
1108#468—671no—
1109#468—671no—
1110#466—671no—
1111#466—671no—
1112#466—671no—
1113#466C2×D6711yescharacteristic, complemented
1114#465—671no—
1115#465—671no—
1116#465—671no—
1117#465—671no—
1118#460—671no—
1119#460—671no—
1120#460—671no—
1121#460—671no—
1122#459—671no—
1123#459—671no—
1124#459—671no—
1125#459C2×D6711yescharacteristic, complemented
1126#450—671no—
1127#450—671no—
1128#450—671no—
1129#450—671no—
1130#450—671no—
1131#450—671no—
1132#450—671no—
1133#450—671no—
1134#447—671no—
1135#447—671no—
1136#447—671no—
1137#447—671no—
1138#447—671no—
1139#447—671no—
1140#447C2×D6711yescharacteristic, complemented
1141#447C2×D6711yescharacteristic, complemented
1142#442—671no—
1143#442C2×D6711yescharacteristic, complemented
1144#440—671no—
1145#440—671no—
1146C4×SD16—671no—
1147C4×SD16—671no—
1148C4×D8—671no—
1149C4×D8—671no—
1150#436—671no—
1151#436—671no—
1152#435—671no—
1153#435—671no—
1154#435—671no—
1155#435C2×D6711yescharacteristic, complemented
1156C8×D4—671no—
1157C8×D4—671no—
1158#428—671no—
1159#428—671no—
1160#428—671no—
1161#423—671no—
1162#418—671no—
1163#418—671no—
1164#418—671no—
1165#418—671no—
1166#418—671no—
1167#418—671no—
1168#418—671no—
1169#418—671no—
1170#418—671no—
1171#418—671no—
1172#418—671no—
1173#418—671no—
1174#418—671no—
1175#418—671no—
1176#418—671no—
1177#418—671no—
1178#418C2×D6711yescharacteristic, complemented
1179#417—671no—
1180C2×#102—671no—
1181C2×#102—671no—
1182C2×#102—671no—
1183C2×#102—671no—
1184C2×#102—671no—
1185C2×#102—671no—
1186C2×#102—671no—
1187C2×#102C2×D6711yescharacteristic, complemented
1188#407—671no—
1189#407—671no—
1190C4×M16—671no—
1191C25—1341no—
1192C25—1341no—
1193C2×#41—671no—
1194C2×#41—1341no—
1195C22×D4—21no—
1196C22×D4—2688no—
1197C22×D4—2682no—
1198C22×D4—2682no—
1199C22×D4—671no—
1200C22×D4—671no—
1201C22×D4—671no—
1202C22×D4—671no—
1203C22×D4—671no—
1204C22×D4—671no—
1205C22×D4—671no—
1206C22×D4—671no—
1207C22×D4—671no—
1208C22×D4—671no—
1209C22×D4—1341no—
1210C22×D4—1341no—
1211C22×D4—1341no—
1212C22×D4—1341no—
1213C22×D4—1341no—
1214C22×D4—1341no—
1215C22×D4—1341no—
1216C22×D4—1341no—
1217C22×D4—1341no—
1218C22×D4—1341no—
1219C22×D4—1341no—
1220C22×D4—1341no—
1221C22×D4—1341no—
1222C22×D4—1341no—
1223C22×D4—1344no—
1224C22×D4—1344no—
1225C22×D4—1341no—
1226C22×D4—1341no—
1227C22×D4—1341no—
1228C22×D4C22×D6711yescharacteristic
1229C22×D4C22×D6711yescharacteristic
1230C23×C4—671no—
1231C23×C4—671no—
1232C23×C4—1341no—
1233AGL(1,ℤ/8)—2682no—
1234AGL(1,ℤ/8)—2682no—
1235AGL(1,ℤ/8)—1344no—
1236C2×SD16—671no—
1237C2×SD16—671no—
1238C2×SD16—671no—
1239C2×SD16—671no—
1240C2×SD16—671no—
1241C2×SD16—671no—
1242C2×D8—671no—
1243C2×D8—671no—
1244C2×D8—671no—
1245C2×D8C22×D6711yescharacteristic
1246C2×D8C22×D6711yescharacteristic, complemented
1247C2×D8C22×D6711yescharacteristic, complemented
1248C2×M16—2682no—
1249C2×M16—2682no—
1250C2×M16—671no—
1251C2×M16—671no—
1252C2×M16—671no—
1253C2×M16—671no—
1254C2×M16—671no—
1255C2×M16—671no—
1256C2×M16—671no—
1257C2×M16C22×D6711yescharacteristic, complemented
1258C22×C8—671no—
1259C22×C8—671no—
1260C22×C8—671no—
1261C22×C8C22×D6711yescharacteristic, complemented
1262C4⋊Q8—671no—
1263C4⋊Q8—671no—
1264#127—671no—
1265#127—671no—
1266#127—671no—
1267#127—1341no—
1268#127—1341no—
1269#127C22×D6711yescharacteristic
1270#126—21no—
1271#126—1341no—
1272#126—1341no—
1273#126—1341no—
1274#126—1341no—
1275#126—1341no—
1276#125—671no—
1277#125—1341no—
1278#125—1341no—
1279#125—1341no—
1280#125C22×D6711yescharacteristic, complemented
1281#124—1341no—
1282#124—1341no—
1283#124—1341no—
1284#123—21no—
1285#123—1341no—
1286#123—1341no—
1287#123—1341no—
1288#123—1341no—
1289#123—1341no—
1290#123—1341no—
1291#123—1341no—
1292C22⋊Q8—671no—
1293C22⋊Q8—671no—
1294C22⋊Q8—671no—
1295C22⋊Q8—671no—
1296C22⋊Q8—1341no—
1297C22⋊Q8—1341no—
1298C22⋊Q8—1341no—
1299C22⋊Q8—1341no—
1300C22⋊Q8—1341no—
1301#121—21no—
1302#121—21no—
1303#121—671no—
1304#121—671no—
1305#121—671no—
1306#121—671no—
1307#121—671no—
1308#121—671no—
1309#121—671no—
1310#121—671no—
1311#121—1341no—
1312#121—1341no—
1313#121—1341no—
1314#121—1341no—
1315#121—1341no—
1316#121—1341no—
1317#121—1341no—
1318#121—1341no—
1319#121—1341no—
1320#121—1341no—
1321#121—1341no—
1322#121—1341no—
1323#121—1341no—
1324#121C22×D6711yescharacteristic
1325#121C22×D6711yescharacteristic
1326#121C22×D6711yescharacteristic, complemented
1327#121C22×D6711yescharacteristic, complemented
1328#120—21no—
1329#120—21no—
1330#120—1341no—
1331#120—1341no—
1332#120—1341no—
1333#120—1341no—
1334#120—1341no—
1335#120—1341no—
1336#120—1341no—
1337#120—1341no—
1338#120—1341no—
1339#120—1341no—
1340#120—1341no—
1341#120—1341no—
1342#120—1341no—
1343#120—1341no—
1344#120—1341no—
1345#120—1341no—
1346C4×Q8—671no—
1347C4×Q8—671no—
1348C4×Q8—1341no—
1349C4×Q8—1341no—
1350C4×Q8—1341no—
1351C4×D4—21no—
1352C4×D4—671no—
1353C4×D4—671no—
1354C4×D4—671no—
1355C4×D4—671no—
1356C4×D4—671no—
1357C4×D4—671no—
1358C4×D4—671no—
1359C4×D4—671no—
1360C4×D4—671no—
1361C4×D4—671no—
1362C4×D4—671no—
1363C4×D4—1341no—
1364C4×D4—1341no—
1365C4×D4—1341no—
1366C4×D4—1341no—
1367C4×D4—1341no—
1368C4×D4—1341no—
1369C4×D4—1341no—
1370C4×D4—1341no—
1371C4×D4—1341no—
1372C4×D4—1341no—
1373C4×D4C22×D6711yescharacteristic
1374C4×D4C22×D6711yescharacteristic
1375C4×D4C22×D6711yescharacteristic, complemented
1376#117—671no—
1377#117—671no—
1378#117—671no—
1379#117—671no—
1380#117—671no—
1381#117—671no—
1382#117—1341no—
1383#117—1341no—
1384#117—1341no—
1385#117—1341no—
1386#117—1341no—
1387#117—1341no—
1388#117—1341no—
1389#117—1341no—
1390#117C22×D6711yescharacteristic, complemented
1391C2×C4⋊C4—671no—
1392C2×C4⋊C4—671no—
1393C2×C4⋊C4—671no—
1394C2×C4⋊C4—671no—
1395C2×C4⋊C4—671no—
1396C2×C4⋊C4C22×D6711yescharacteristic, complemented
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×C42—671no—
1405C2×C42—1341no—
1406C2×C42—1341no—
1407C2×C42—1341no—
1408#107—671no—
1409#107—671no—
1410#107—671no—
1411#107—671no—
1412#107—671no—
1413#107C22×D6711yescharacteristic, complemented
1414#106—671no—
1415#106—671no—
1416#106—671no—
1417#106—671no—
1418#106C22×D6711yescharacteristic, complemented
1419#106C22×D6711yescharacteristic, complemented
1420C4⋊C8—671no—
1421C4⋊C8—671no—
1422C4⋊C8—671no—
1423C4⋊C8C22×D6711yescharacteristic, complemented
1424#103—671no—
1425#103—671no—
1426#102—671no—
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#102—671no—
1446#102—671no—
1447#102—671no—
1448#102—671no—
1449#102—671no—
1450#102—671no—
1451#102—671no—
1452#102—671no—
1453#102—671no—
1454#102C22×D6711yescharacteristic
1455#102C22×D6711yescharacteristic
1456#102C22×D6711yescharacteristic
1457#102C22×D6711yescharacteristic, complemented
1458#102C22×D6711yescharacteristic, complemented
1459#102C22×D6711yescharacteristic, complemented
1460#102C22×D6711yescharacteristic, complemented
1461#102C22×D6711yescharacteristic, complemented
1462#102C22×D6711yescharacteristic, complemented
1463#102C22×D6711yescharacteristic, complemented
1464C22⋊C8—671no—
1465C22⋊C8—671no—
1466C22⋊C8—671no—
1467C22⋊C8—671no—
1468C22⋊C8—671no—
1469C22⋊C8—671no—
1470C22⋊C8C22×D6711yescharacteristic, complemented
1471C22⋊C8C22×D6711yescharacteristic, complemented
1472#97—671no—
1473#97C22×D6711yescharacteristic, complemented
1474C4×C8—671no—
1475C4×C8—671no—
1476C24—21no—
1477C24—21no—
1478C24—2684no—
1479C24—2684no—
1480C24—2684no—
1481C24—2684no—
1482C24—5362no—
1483C24—5362no—
1484C24—671no—
1485C24—671no—
1486C24—1341no—
1487C24—1341no—
1488C24—1341no—
1489C24—1341no—
1490C24—1341no—
1491C24—1341no—
1492C24—1341no—
1493C24—1341no—
1494C24—1341no—
1495#41—2684no—
1496#41—1342no—
1497#41—1342no—
1498C2×Q8—671no—
1499C2×Q8—1341no—
1500C2×Q8—1341no—
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—21no—
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—44no—
1514C2×D4—2681no—
1515C2×D4—2681no—
1516C2×D4—2684no—
1517C2×D4—2684no—
1518C2×D4—2684no—
1519C2×D4—2684no—
1520C2×D4—2684no—
1521C2×D4—2684no—
1522C2×D4—2684no—
1523C2×D4—2684no—
1524C2×D4—2684no—
1525C2×D4—2681no—
1526C2×D4—2681no—
1527C2×D4—2681no—
1528C2×D4—2681no—
1529C2×D4—2684no—
1530C2×D4—2684no—
1531C2×D4—2684no—
1532C2×D4—2684no—
1533C2×D4—2684no—
1534C2×D4—2684no—
1535C2×D4—2684no—
1536C2×D4—5362no—
1537C2×D4—671no—
1538C2×D4—674no—
1539C2×D4—671no—
1540C2×D4—671no—
1541C2×D4—671no—
1542C2×D4—671no—
1543C2×D4—671no—
1544C2×D4—1341no—
1545C2×D4—1341no—
1546C2×D4—1342no—
1547C2×D4—1342no—
1548C2×D4—1342no—
1549C2×D4—1342no—
1550C2×D4—1342no—
1551C2×D4—1342no—
1552C2×D4—1342no—
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—1342no—
1565C2×D4—1342no—
1566C2×D4—1344no—
1567C2×D4—1341no—
1568C2×D4—1341no—
1569C2×D4—1341no—
1570C2×D4—1341no—
1571C2×D4—1341no—
1572C2×D4—1341no—
1573C2×D4—1342no—
1574C2×D4—1342no—
1575C2×D4—1341no—
1576C2×D4—1341no—
1577C2×D4—1341no—
1578C2×D4—1341no—
1579C2×D4—1341no—
1580C2×D4D4×D6711yescharacteristic
1581C2×D4C23×D6711yescharacteristic
1582C2×D4C23×D6711yescharacteristic
1583C2×D4C23×D6711yescharacteristic
1584C2×D4C23×D6711yescharacteristic
1585C22×C4—21no—
1586C22×C4—21no—
1587C22×C4—21no—
1588C22×C4—2684no—
1589C22×C4—671no—
1590C22×C4—671no—
1591C22×C4—671no—
1592C22×C4—671no—
1593C22×C4—671no—
1594C22×C4—671no—
1595C22×C4—671no—
1596C22×C4—671no—
1597C22×C4—671no—
1598C22×C4—671no—
1599C22×C4—671no—
1600C22×C4—1341no—
1601C22×C4—1341no—
1602C22×C4—1341no—
1603C22×C4—1341no—
1604C22×C4—1342no—
1605C22×C4—1342no—
1606C22×C4—1342no—
1607C22×C4—1342no—
1608C22×C4—1341no—
1609C22×C4—1341no—
1610C22×C4—1341no—
1611C22×C4—1341no—
1612C22×C4—1341no—
1613C22×C4C23×D6711yescharacteristic
1614C22×C4C23×D6711yescharacteristic
1615SD16—2681no—
1616SD16—2681no—
1617SD16—2681no—
1618SD16—2681no—
1619SD16—1342no—
1620SD16—1342no—
1621D8—22no—
1622D8—41no—
1623D8—41no—
1624D8—2681no—
1625D8—2681no—
1626D8—1342no—
1627M16—41no—
1628M16—2681no—
1629M16—2681no—
1630M16—2681no—
1631M16—1342no—
1632M16—1342no—
1633M16—1342no—
1634M16—1342no—
1635C2×C8—41no—
1636C2×C8—2681no—
1637C2×C8—2681no—
1638C2×C8—2681no—
1639C2×C8—671no—
1640C2×C8—671no—
1641C2×C8—671no—
1642C2×C8—671no—
1643C2×C8C23×D6711yescharacteristic
1644C2×C8C23×D6711yescharacteristic
1645C2×C8C23×D6711yescharacteristic
1646C2×C8C23×D6711yescharacteristic
1647C4⋊C4—21no—
1648C4⋊C4—21no—
1649C4⋊C4—21no—
1650C4⋊C4—671no—
1651C4⋊C4—671no—
1652C4⋊C4—671no—
1653C4⋊C4—671no—
1654C4⋊C4—671no—
1655C4⋊C4—671no—
1656C4⋊C4—671no—
1657C4⋊C4—1341no—
1658C4⋊C4—1341no—
1659C4⋊C4—1341no—
1660C4⋊C4—1341no—
1661C4⋊C4—1341no—
1662C4⋊C4—1341no—
1663C4⋊C4—1341no—
1664C4⋊C4—1341no—
1665C4⋊C4—1341no—
1666C4⋊C4—1341no—
1667C4⋊C4—1341no—
1668C4⋊C4—1341no—
1669C4⋊C4—1341no—
1670C4⋊C4—1341no—
1671C4⋊C4D4×D6711yescharacteristic
1672C4⋊C4C23×D6711yescharacteristic
1673C4⋊C4C23×D6711yescharacteristic
1674C4⋊C4C23×D6711yescharacteristic
1675C4⋊C4C23×D6711yescharacteristic
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—671no—
1684C22⋊C4—671no—
1685C22⋊C4—671no—
1686C22⋊C4—671no—
1687C22⋊C4—671no—
1688C22⋊C4—671no—
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⋊C4—1341no—
1708C22⋊C4—1341no—
1709C22⋊C4—1341no—
1710C22⋊C4—1341no—
1711C22⋊C4D4×D6711yescharacteristic
1712C22⋊C4D4×D6711yescharacteristic
1713C42—21no—
1714C42—671no—
1715C42—671no—
1716C42—671no—
1717C42—1341no—
1718C42—1341no—
1719C42—1341no—
1720C42—1341no—
1721C42—1341no—
1722C42—1341no—
1723C42—1341no—
1724C42—1341no—
1725C42C23×D6711yescharacteristic
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—21no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—42no—
1734C23—81no—
1735C23—81no—
1736C23—2681no—
1737C23—2681no—
1738C23—2682no—
1739C23—2682no—
1740C23—2682no—
1741C23—2682no—
1742C23—2682no—
1743C23—2682no—
1744C23—2682no—
1745C23—2682no—
1746C23—2682no—
1747C23—2682no—
1748C23—2682no—
1749C23—2682no—
1750C23—2682no—
1751C23—2682no—
1752C23—2682no—
1753C23—2682no—
1754C23—2682no—
1755C23—2682no—
1756C23—2682no—
1757C23—2682no—
1758C23—5361no—
1759C23—5361no—
1760C23—5361no—
1761C23—5361no—
1762C23—5361no—
1763C23—5361no—
1764C23—53616no—
1765C23—53616no—
1766C23—671no—
1767C23—671no—
1768C23—671no—
1769C23—1342no—
1770C23—1342no—
1771C23—1344no—
1772C23—1342no—
1773C23—1341no—
1774C23—1341no—
1775C23—1342no—
1776C23—1341no—
1777C23C2×D4×D6711yescharacteristic
1778C23C2×D4×D6711yescharacteristic
1779Q8—2682no—
1780Q8—5361no—
1781Q8—1341no—
1782Q8—1341no—
1783D4—22no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—42no—
1792D4—42no—
1793D4—42no—
1794D4—42no—
1795D4—42no—
1796D4—42no—
1797D4—81no—
1798D4—81no—
1799D4—2682no—
1800D4—2682no—
1801D4—2682no—
1802D4—2682no—
1803D4—2682no—
1804D4—2682no—
1805D4—2682no—
1806D4—2682no—
1807D4—2682no—
1808D4—2682no—
1809D4—2682no—
1810D4—2682no—
1811D4—2682no—
1812D4—2682no—
1813D4—2682no—
1814D4—2682no—
1815D4—2682no—
1816D4—2682no—
1817D4—2682no—
1818D4—5361no—
1819D4—5361no—
1820D4—5361no—
1821D4—5361no—
1822D4—674no—
1823D4—672no—
1824D4—1342no—
1825D4—1344no—
1826D4—1342no—
1827D4—1341no—
1828D4—1341no—
1829D4—1341no—
1830D4—1341no—
1831D4—1341no—
1832D4#41×D6712yes—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—42no—
1842C2×C4—81no—
1843C2×C4—81no—
1844C2×C4—2682no—
1845C2×C4—2681no—
1846C2×C4—2682no—
1847C2×C4—2682no—
1848C2×C4—2682no—
1849C2×C4—2682no—
1850C2×C4—2682no—
1851C2×C4—2682no—
1852C2×C4—2682no—
1853C2×C4—5361no—
1854C2×C4—671no—
1855C2×C4—671no—
1856C2×C4—672no—
1857C2×C4—672no—
1858C2×C4—671no—
1859C2×C4—671no—
1860C2×C4—671no—
1861C2×C4—1342no—
1862C2×C4—1342no—
1863C2×C4—1342no—
1864C2×C4—1342no—
1865C2×C4—1342no—
1866C2×C4—1341no—
1867C2×C4—1341no—
1868C2×C4—1341no—
1869C2×C4—1341no—
1870C2×C4—1341no—
1871C2×C4—1342no—
1872C2×C4—1342no—
1873C2×C4—1341no—
1874C2×C4—1341no—
1875C2×C4—1341no—
1876C2×C4—1341no—
1877C2×C4C2×D4×D6711yescharacteristic
1878C2×C4C2×D4×D6711yescharacteristic
1879C2×C4C2×D4×D6711yescharacteristic
1880C2×C4C2×D4×D6711yescharacteristic
1881C2×C4C24×D6711yescharacteristic
1882C8—21no—
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—1341no—
1887C8—1341no—
1888C8—1341no—
1889C8—1341no—
1890C22—21no—
1891C22—21no—
1892C22—21no—
1893C22—22no—
1894C22—21no—
1895C22—21no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—84no—
1908C22—84no—
1909C22—2684no—
1910C22—2688no—
1911C22—2684no—
1912C22—2681no—
1913C22—2681no—
1914C22—2681no—
1915C22—2681no—
1916C22—2681no—
1917C22—2681no—
1918C22—2681no—
1919C22—2681no—
1920C22—5364no—
1921C22—5364no—
1922C22—5364no—
1923C22—5364no—
1924C22—5364no—
1925C22—5364no—
1926C22—5364no—
1927C22—5364no—
1928C22—672no—
1929C22—672no—
1930C22—1341no—
1931C22—1342no—
1932C22—1341no—
1933C22—1341no—
1934C22—1341no—
1935C22—1341no—
1936C22—1341no—
1937C22—1341no—
1938C22AGL(1,ℤ/8)×D6712yes—
1939C22C22×D4×D6711yescharacteristic
1940C4—21no—
1941C4—21no—
1942C4—21no—
1943C4—21no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—41no—
1948C4—2681no—
1949C4—2681no—
1950C4—2681no—
1951C4—2681no—
1952C4—2681no—
1953C4—672no—
1954C4—672no—
1955C4—1341no—
1956C4—1341no—
1957C4—1341no—
1958C4C2×#41×D6711yescharacteristic
1959C4H(5,𝔽2)×D6711yescharacteristic
1960C2—22no—
1961C2—41no—
1962C2—42no—
1963C2—81no—
1964C2—81no—
1965C2—81no—
1966C2—2682no—
1967C2—2681no—
1968C2—5361no—
1969C2—5361no—
1970C2—1342no—
1971C2—1342no—
1972C2#546×D6711yescharacteristic
1973C2C2×AGL(1,ℤ/8)×D6711yescharacteristic
1974C2#2257498411yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3318C2
socleC22×C67C23×D4
hypercenter#3318D67
hypocenterC67#61155
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #22573768C2semidirect
2. D42×D67C2semidirect
3. #22572446C2semidirect
4. #22572444C2semidirect
5. #22572438C2semidirect
6. #22572436C2semidirect
7. #22572357C2semidirect
8. #22572355C2semidirect
9. #22572344C2semidirect
10. #22572232C2semidirect
11. #22572230C2semidirect
12. #22572229C2semidirect
13. #22572227C2semidirect
14. #22572031C2semidirect
15. #22572029C2semidirect
16. #22572017C2semidirect
17. #22572015C2semidirect
18. #22570582C2semidirect
19. #22570148C2semidirect
20. #22570146C2semidirect
21. #22570004C2semidirect
22. #22569827C2semidirect
23. #22569825C2semidirect
24. #22569684C2semidirect
25. #22569433C2semidirect
26. #22569433C2semidirect
27. #22569020C2semidirect
28. #22568942C2semidirect
29. C2×#16863399C2semidirect
30. #418×D67C2semidirect
31. C67×#3318C2semidirect
36. C2×#14524067C22semidirect
37. C2×#14524067C22semidirect
38. C22×#11761611C22semidirect
39. C2×M16×D67C22semidirect
40. #16864114C22semidirect
41. #16864110C22semidirect
42. #16864101C22semidirect
43. #16864096C22semidirect
44. #16864086C22semidirect
45. #16864084C22semidirect
49. #16864046C22semidirect
62. #16863952C22semidirect
67. #16863906C22semidirect
68. #16863906C22semidirect
75. C4×#11761627C22semidirect
78. C2×#14524001C22semidirect
79. #117×D67C22semidirect
80. #16863762C22semidirect
81. #16863761C22semidirect
82. #16863760C22semidirect
83. #16863741C22semidirect
84. #16863741C22semidirect
85. #16863741C22semidirect
86. #16863741C22semidirect
87. #16863722C22semidirect
88. #16863722C22semidirect
89. #16863721C22semidirect
90. #16863720C22semidirect
91. #16863718C22semidirect
92. #16863718C22semidirect
93. #16863717C22semidirect
94. #16863716C22semidirect
95. #16863714C22semidirect
96. #16863713C22semidirect
97. #16863711C22semidirect
98. #16863710C22semidirect
99. #16863708C22semidirect
100. #16863707C22semidirect
101. #16863697C22semidirect
102. #16863696C22semidirect
103. #16863693C22semidirect
104. #16863685C22semidirect
105. #16863684C22semidirect
106. #16863675C22semidirect
107. #16863674C22semidirect
108. #16863648C22semidirect
109. #16863647C22semidirect
110. #16863646C22semidirect
111. #16863643C22semidirect
112. #16863642C22semidirect
113. #16863641C22semidirect
114. #16863640C22semidirect
115. #16863631C22semidirect
116. #16863630C22semidirect
117. #16863629C22semidirect
118. #16863626C22semidirect
119. #16863625C22semidirect
120. #16863624C22semidirect
121. #16863623C22semidirect
122. #16863597C22semidirect
123. #16863595C22semidirect
124. #16863595C22semidirect
125. #16863593C22semidirect
126. #16863591C22semidirect
127. #16863589C22semidirect
128. #16863589C22semidirect
129. #16863549C22semidirect
130. #16863549C22semidirect
131. #16863548C22semidirect
132. #16863548C22semidirect
133. #16863548C22semidirect
134. #16863548C22semidirect
135. #16863547C22semidirect
136. #16863547C22semidirect
137. #16863529C22semidirect
138. #16863529C22semidirect
139. #16863528C22semidirect
140. #16863528C22semidirect
141. #16863528C22semidirect
142. #16863528C22semidirect
143. #16863506C22semidirect
144. #16863498C22semidirect
145. #16863496C22semidirect
146. #16863487C22semidirect
147. #16863483C22semidirect
148. D8×Dic67C22semidirect
149. #16863476C22semidirect
150. #16863472C22semidirect
151. #16863471C22semidirect
152. #16863469C22semidirect
153. #16863468C22semidirect
154. #16863466C22semidirect
155. C8×C22⋊D67C22semidirect
156. (C22⋊D67)⋊C8C22semidirect
157. #16863437C22semidirect
158. #16863435C22semidirect
159. #16863435C22semidirect
160. #16863418C22semidirect
161. #16863402C22semidirect
162. #16863401C22semidirect
163. #16863400C22semidirect
167. #16863399C22semidirect
168. #16863399C22semidirect
169. #16863399C22semidirect
170. #16863399C22semidirect
171. #16863399C22semidirect
172. #16863399C22semidirect
173. #16863399C22semidirect
174. #16863399C22semidirect
175. #16863399C22semidirect
176. #16863399C22semidirect
177. #16863394C22semidirect
178. C2×#14523965C22semidirect
179. C2×#14523964C22semidirect
180. C2×#14523963C22semidirect
181. #102×D67C22semidirect
182. #102×D67C22semidirect
183. #102×D67C22semidirect
184. #102×D67C22semidirect
185. #16863358C22semidirect
186. #16863358C22semidirect
187. #16863348C22semidirect
188. #553×C67C22semidirect
190. #490×C67C22semidirect
191. #482×C67C22semidirect
192. #481×C67C22semidirect
193. #478×C67C22semidirect
194. #469×C67C22semidirect
195. #466×C67C22semidirect
196. #459×C67C22semidirect
197. #447×C67C22semidirect
198. #447×C67C22semidirect
199. #442×C67C22semidirect
200. #435×C67C22semidirect
201. #418×C67C22semidirect
202. C2×#102×C67C22semidirect
246. C2×#11761617C23semidirect
247. C2×#11761617C23semidirect
249. C2×#11761616C23semidirect
250. C2×#11761616C23semidirect
252. C2×#11761613C23semidirect
253. C2×#11761613C23semidirect
254. C2×#11761612C23semidirect
260. C2×#11761611C23semidirect
261. C2×#11761611C23semidirect
263. C22×C67⋊C8C23semidirect
264. C2×C8×D67C23semidirect
265. C2×C8×D67C23semidirect
266. #14524042C23semidirect
267. #14524042C23semidirect
278. #14524035C23semidirect
292. #14524023C23semidirect
293. #14524023C23semidirect
295. #14524022C23semidirect
296. #14524022C23semidirect
320. #14524014C23semidirect
321. #14524014C23semidirect
339. C4×Dic134C23semidirect
342. #14524008C23semidirect
349. D4×Dic67C23semidirect
364. #14524002C23semidirect
371. #14524001C23semidirect
372. #14524001C23semidirect
378. C2×C4⋊Dic67C23semidirect
381. C4⋊C4×D67C23semidirect
382. C4⋊C4×D67C23semidirect
394. #14523977C23semidirect
395. #14523977C23semidirect
396. #14523976C23semidirect
397. #14523976C23semidirect
398. #14523976C23semidirect
399. #14523975C23semidirect
400. #14523974C23semidirect
401. #14523974C23semidirect
402. #14523974C23semidirect
403. C4⋊(C67⋊C8)C23semidirect
404. Dic67⋊C8C23semidirect
405. Dic67⋊C8C23semidirect
406. #14523968C23semidirect
407. #14523966C23semidirect
411. #14523965C23semidirect
412. #14523965C23semidirect
413. #14523965C23semidirect
414. #14523965C23semidirect
415. #14523965C23semidirect
416. #14523965C23semidirect
420. #14523964C23semidirect
421. #14523964C23semidirect
422. #14523964C23semidirect
423. #14523964C23semidirect
424. #14523964C23semidirect
425. #14523964C23semidirect
426. #14523964C23semidirect
430. #14523963C23semidirect
431. #14523963C23semidirect
432. #14523963C23semidirect
433. #14523963C23semidirect
434. #14523963C23semidirect
435. #14523963C23semidirect
436. C22⋊(C67⋊C8)C23semidirect
437. C22⋊(C67⋊C8)C23semidirect
438. (C2×D67)⋊C8C23semidirect
439. (C2×D67)⋊C8C23semidirect
440. (C2×D67)⋊C8C23semidirect
441. (C2×D67)⋊C8C23semidirect
442. #14523954C23semidirect
443. C8×Dic67C23semidirect
444. C8×Dic67C23semidirect
449. C2×D8×C67C23semidirect
450. C2×D8×C67C23semidirect
451. C2×M16×C67C23semidirect
452. C22×C8×C67C23semidirect
455. #125×C67C23semidirect
461. #121×C67C23semidirect
462. #121×C67C23semidirect
468. C4×D4×C67C23semidirect
469. #117×C67C23semidirect
470. C2×C4⋊C4×C67C23semidirect
471. #107×C67C23semidirect
472. #106×C67C23semidirect
473. #106×C67C23semidirect
474. C4⋊C8×C67C23semidirect
478. #102×C67C23semidirect
479. #102×C67C23semidirect
480. #102×C67C23semidirect
481. #102×C67C23semidirect
482. #102×C67C23semidirect
483. #102×C67C23semidirect
484. #102×C67C23semidirect
485. C22⋊C8×C67C23semidirect
486. C22⋊C8×C67C23semidirect
487. #97×C67C23semidirect
576. D4×D67#41semidirect
843. C22⋊D67AGL(1,ℤ/8)semidirect
997. #3318D67semidirect
1019. C67#61155semidirect
1032. #553C2×D67semidirect
1073. #490C2×D67semidirect
1085. #482C2×D67semidirect
1089. #481C2×D67semidirect
1097. #478C2×D67semidirect
1105. #469C2×D67semidirect
1113. #466C2×D67semidirect
1125. #459C2×D67semidirect
1140. #447C2×D67semidirect
1141. #447C2×D67semidirect
1143. #442C2×D67semidirect
1155. #435C2×D67semidirect
1178. #418C2×D67semidirect
1187. C2×#102C2×D67semidirect
1246. C2×D8C22×D67semidirect
1247. C2×D8C22×D67semidirect
1257. C2×M16C22×D67semidirect
1261. C22×C8C22×D67semidirect
1280. #125C22×D67semidirect
1326. #121C22×D67semidirect
1327. #121C22×D67semidirect
1375. C4×D4C22×D67semidirect
1390. #117C22×D67semidirect
1396. C2×C4⋊C4C22×D67semidirect
1413. #107C22×D67semidirect
1418. #106C22×D67semidirect
1419. #106C22×D67semidirect
1423. C4⋊C8C22×D67semidirect
1457. #102C22×D67semidirect
1458. #102C22×D67semidirect
1459. #102C22×D67semidirect
1460. #102C22×D67semidirect
1461. #102C22×D67semidirect
1462. #102C22×D67semidirect
1463. #102C22×D67semidirect
1470. C22⋊C8C22×D67semidirect
1471. C22⋊C8C22×D67semidirect
1473. #97C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225737682
D42×D672
#225724462
#225724442
#225724382
#225724362
#225723572
#225723552
#225723442
#225722322
#225722302
#225722292
#225722272
#225720312
#225720292
#225720172
#225720152
#225705822
#225701482
#225701462
#225700042
#225698272
#225698252
#225696842
#225694332
#225690202
#225689422
C2×#168633992
#418×D672
C67×#33182
#6115567