Finite Group Databasebeta

← #31730907

Subgroups — #31730907

Order 17152.

2796 conjugacy classes of subgroups.

The subgroup lattice has 2072 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16864194C211yesmaximal, characteristic, complemented
2C22×#14524063C211yesmaximal, characteristic, complemented
3D4×#11761628C211yesmaximal, characteristic, complemented
4#22571795C211yesmaximal, characteristic, complemented
5#22571790C211yesmaximal, characteristic, complemented
6#22571780C211yesmaximal, characteristic, complemented
7#22571775C211yesmaximal, characteristic, complemented
8#22571765C211yesmaximal, characteristic, complemented
9#22571760C211yesmaximal, characteristic, complemented
10#22571750C211yesmaximal, characteristic, complemented
11#22571745C211yesmaximal, characteristic, complemented
12#22571735C211yesmaximal, characteristic, complemented
13#22571730C211yesmaximal, characteristic, complemented
14#22571720C211yesmaximal, characteristic, complemented
15#22571715C211yesmaximal, characteristic, complemented
16#22571705C211yesmaximal, characteristic, complemented
17#22571700C211yesmaximal, characteristic, complemented
18#22571690C211yesmaximal, characteristic, complemented
19#22571685C211yesmaximal, characteristic, complemented
20#22570654C211yesmaximal, characteristic, complemented
21#22569815C211yesmaximal, characteristic, complemented
22#22569787C211yesmaximal, characteristic, complemented
23#22569664C211yesmaximal, characteristic, complemented
24#22569658C211yesmaximal, characteristic, complemented
25#22569427C211yesmaximal, characteristic, complemented
26#22569427C211yesmaximal, characteristic, complemented
27#22569425C211yesmaximal, characteristic, complemented
28#22569425C211yesmaximal, characteristic, complemented
29#22569007C211yesmaximal, characteristic, complemented
30C2×#16863468C211yesmaximal, characteristic, complemented
31D4×#41×C67C211yesmaximal, characteristic, complemented
32C22×#11761628C2211yescharacteristic, complemented
33C22×#11761628C2211yescharacteristic, complemented
34#16864194—28no—
35C2×#14524074C2211yescharacteristic, complemented
36C2×#14524074C2211yescharacteristic, complemented
37C2×#14524073C2211yescharacteristic, complemented
38C2×#14524073C2211yescharacteristic, complemented
39C2×#14524069C2211yescharacteristic, complemented
40C2×#14524069C2211yescharacteristic, complemented
41C2×#14524068C2211yescharacteristic, complemented
42C2×#14524068C2211yescharacteristic, complemented
43C2×#14524063—28no—
44C2×#14524063C2211yescharacteristic
45C2×#14524063C2211yescharacteristic, complemented
46C2×#14524063C2211yescharacteristic, complemented
47C2×#14524063C2211yescharacteristic, complemented
48C2×#14524063C2211yescharacteristic, complemented
49C2×#14524063C2211yescharacteristic, complemented
50C2×#14524063C2211yescharacteristic, complemented
51C2×#14524063C2211yescharacteristic, complemented
52C2×#14524063C2211yescharacteristic, complemented
53C2×#14524063C2211yescharacteristic, complemented
54C2×#14524063C2211yescharacteristic, complemented
55C2×#14524063C2211yescharacteristic, complemented
56C2×#14524063C2211yescharacteristic, complemented
57C22×#11761618C2211yescharacteristic, complemented
58C22×#11761616C2211yescharacteristic, complemented
59C22×#11761615C2211yescharacteristic, complemented
60C22×#11761613C2211yescharacteristic, complemented
61C22×#11761612C2211yescharacteristic, complemented
62C23×C67⋊C8C2211yescharacteristic, complemented
63#16864067C2211yescharacteristic, complemented
64D4×Dic134C2211yescharacteristic, complemented
65#16864055C2211yescharacteristic
66#16864055C2211yescharacteristic, complemented
67#16864051C2211yescharacteristic, complemented
68#16864047—21no—
69#16864042C2211yescharacteristic
70#16864042C2211yescharacteristic, complemented
71#16864036—21no—
72#16864036—21no—
73D4×D268C2211yescharacteristic, complemented
74D4×C22⋊D67—21no—
75#16863946C2211yescharacteristic, complemented
76#16863943—21no—
77#16863907C2211yescharacteristic, complemented
78#16863907C2211yescharacteristic, complemented
79#16863905—21no—
80#16863905—21no—
81C4×#11761628C2211yescharacteristic, complemented
82C4×D4×D67—21no—
83#16863791C2211yescharacteristic, complemented
84#16863791C2211yescharacteristic, complemented
85#16863788C2211yescharacteristic, complemented
86#16863788C2211yescharacteristic, complemented
87#16863786C2211yescharacteristic, complemented
88#16863786C2211yescharacteristic, complemented
89#16863783C2211yescharacteristic, complemented
90#16863783C2211yescharacteristic, complemented
91#16863652C2211yescharacteristic, complemented
92#16863652C2211yescharacteristic, complemented
93#16863647C2211yescharacteristic, complemented
94#16863647C2211yescharacteristic, complemented
95#16863644C2211yescharacteristic, complemented
96#16863644C2211yescharacteristic, complemented
97#16863640C2211yescharacteristic, complemented
98#16863640C2211yescharacteristic, complemented
99#16863635C2211yescharacteristic, complemented
100#16863635C2211yescharacteristic, complemented
101#16863630C2211yescharacteristic, complemented
102#16863630C2211yescharacteristic, complemented
103#16863627C2211yescharacteristic, complemented
104#16863627C2211yescharacteristic, complemented
105#16863623C2211yescharacteristic, complemented
106#16863623C2211yescharacteristic, complemented
107#16863618C2211yescharacteristic, complemented
108#16863618C2211yescharacteristic, complemented
109#16863615C2211yescharacteristic, complemented
110#16863615C2211yescharacteristic, complemented
111#16863611C2211yescharacteristic, complemented
112#16863611C2211yescharacteristic, complemented
113#16863608C2211yescharacteristic, complemented
114#16863608C2211yescharacteristic, complemented
115#16863606C2211yescharacteristic, complemented
116#16863603C2211yescharacteristic, complemented
117#16863601C2211yescharacteristic, complemented
118#16863598C2211yescharacteristic, complemented
119#16863596C2211yescharacteristic, complemented
120#16863593C2211yescharacteristic, complemented
121#16863591C2211yescharacteristic, complemented
122#16863588C2211yescharacteristic, complemented
123#16863558C2211yescharacteristic, complemented
124#16863558C2211yescharacteristic, complemented
125#16863558C2211yescharacteristic, complemented
126#16863558C2211yescharacteristic, complemented
127#16863556C2211yescharacteristic, complemented
128#16863556C2211yescharacteristic, complemented
129#16863556C2211yescharacteristic, complemented
130#16863556C2211yescharacteristic, complemented
131#16863552C2211yescharacteristic, complemented
132#16863552C2211yescharacteristic, complemented
133#16863551C2211yescharacteristic, complemented
134#16863551C2211yescharacteristic, complemented
135#16863547C2211yescharacteristic, complemented
136#16863547C2211yescharacteristic, complemented
137#16863546C2211yescharacteristic, complemented
138#16863546C2211yescharacteristic, complemented
139#16863541C2211yescharacteristic, complemented
140#16863541C2211yescharacteristic, complemented
141#16863541C2211yescharacteristic, complemented
142#16863541C2211yescharacteristic, complemented
143#16863539C2211yescharacteristic, complemented
144#16863539C2211yescharacteristic, complemented
145#16863539C2211yescharacteristic, complemented
146#16863539C2211yescharacteristic, complemented
147#16863535C2211yescharacteristic, complemented
148#16863535C2211yescharacteristic, complemented
149#16863534C2211yescharacteristic, complemented
150#16863534C2211yescharacteristic, complemented
151#16863530C2211yescharacteristic, complemented
152#16863530C2211yescharacteristic, complemented
153#16863529C2211yescharacteristic, complemented
154#16863529C2211yescharacteristic, complemented
155#16863506C2211yescharacteristic, complemented
156#16863506C2211yescharacteristic, complemented
157#16863501C2211yescharacteristic, complemented
158#16863501C2211yescharacteristic, complemented
159#16863496C2211yescharacteristic, complemented
160#16863496C2211yescharacteristic, complemented
161#16863494C2211yescharacteristic, complemented
162#16863494C2211yescharacteristic, complemented
163#16863468C2211yescharacteristic, complemented
164#16863468C2211yescharacteristic, complemented
165#16863468C2211yescharacteristic, complemented
166#16863468C2211yescharacteristic, complemented
167#16863468C2211yescharacteristic, complemented
168#16863468C2211yescharacteristic, complemented
169#16863468C2211yescharacteristic, complemented
170#16863468C2211yescharacteristic, complemented
171#16863432C2211yescharacteristic, complemented
172C2×C4⋊(C67⋊C8)C2211yescharacteristic, complemented
173#16863392C2211yescharacteristic, complemented
174#16863392C2211yescharacteristic, complemented
175#16863392C2211yescharacteristic, complemented
176#16863390C2211yescharacteristic, complemented
177#16863390C2211yescharacteristic, complemented
178#16863390C2211yescharacteristic, complemented
179C2×C22⋊(C67⋊C8)C2211yescharacteristic, complemented
180C2×C22⋊(C67⋊C8)C2211yescharacteristic, complemented
181C2×#14523954C2211yescharacteristic, complemented
182C22×#41×C67C2211yescharacteristic, complemented
183C22×#41×C67C2211yescharacteristic, complemented
184#550×C67C2211yescharacteristic, complemented
185D4×Q8×C67C2211yescharacteristic, complemented
186#548×C67C2211yescharacteristic
187#548×C67C2211yescharacteristic, complemented
188#547×C67—21no—
189#547×C67C2211yescharacteristic, complemented
190#546×C67—21no—
191#546×C67—21no—
192#546×C67C2211yescharacteristic
193#546×C67C2211yescharacteristic, complemented
194D42×C67—21no—
195D42×C67C2211yescharacteristic, complemented
196#532×C67—21no—
197#532×C67C2211yescharacteristic, complemented
198#525×C67—21no—
199#525×C67—21no—
200#525×C67C2211yescharacteristic, complemented
201#525×C67C2211yescharacteristic, complemented
202C4×#41×C67C2211yescharacteristic, complemented
203C2×C4×D4×C67—21no—
204C2×C4×D4×C67C2211yescharacteristic
205C2×#11761628—24no—
206C2×#11761628—24no—
207C2×#11761628—21no—
208C2×#11761628—21no—
209C2×#11761628—21no—
210C2×#11761628—21no—
211C2×#11761628—42no—
212C2×#11761628—42no—
213C2×#11761628C2311yescharacteristic
214C2×#11761628C2311yescharacteristic
215C2×#11761628C2311yescharacteristic
216C2×#11761628C2311yescharacteristic
217C2×#11761628C2311yescharacteristic
218C2×#11761628C2311yescharacteristic
219C2×#11761628C2311yescharacteristic
220C22×Dic134C2311yescharacteristic
221C22×Dic134C2311yescharacteristic
222C22×D268C2311yescharacteristic
223C22×D268C2311yescharacteristic
224C22×C22⋊D67—21no—
225C22×C22⋊D67—21no—
226C2×D4×D67—21no—
227C22×C4×D67—21no—
228C22×C4×D67—21no—
229#14524074—24no—
230#14524074—24no—
231#14524073—24no—
232#14524073—24no—
233#14524069—24no—
234#14524069—24no—
235#14524068—24no—
236#14524068—24no—
237#14524063—24no—
238#14524063—24no—
239#14524063—24no—
240#14524063—24no—
241#14524063—24no—
242#14524063—24no—
243#14524063—24no—
244#14524063—24no—
245#14524063—24no—
246#14524063—24no—
247#14524063—42no—
248#14524063—42no—
249#14524063D418yescomplemented
250C2×#11761618—24no—
251C2×#11761618C2311yescharacteristic
252C2×#11761618C2311yescharacteristic
253C2×#11761618C2311yescharacteristic
254C2×#11761618C2311yescharacteristic
255C2×#11761618C2311yescharacteristic
256C2×#11761618C2311yescharacteristic
257C2×#11761618C2311yescharacteristic
258C2×#11761618C2311yescharacteristic
259C2×#11761618C2311yescharacteristic
260C2×#11761616—24no—
261C2×#11761616C2311yescharacteristic
262C2×#11761616C2311yescharacteristic
263C2×#11761616C2311yescharacteristic
264C2×#11761616C2311yescharacteristic
265C2×#11761616C2311yescharacteristic
266C2×#11761616C2311yescharacteristic
267C2×#11761616C2311yescharacteristic
268C2×#11761616C2311yescharacteristic
269C2×#11761616C2311yescharacteristic
270C2×#11761615—24no—
271C2×#11761615C2311yescharacteristic
272C2×#11761615C2311yescharacteristic
273C2×#11761615C2311yescharacteristic
274C2×#11761615C2311yescharacteristic
275C2×#11761615C2311yescharacteristic
276C2×#11761615C2311yescharacteristic
277C2×#11761615C2311yescharacteristic
278C2×#11761615C2311yescharacteristic
279C2×#11761615C2311yescharacteristic
280C2×#11761613—24no—
281C2×#11761613C2311yescharacteristic
282C2×#11761613C2311yescharacteristic
283C2×#11761613C2311yescharacteristic
284C2×#11761613C2311yescharacteristic
285C2×#11761613C2311yescharacteristic
286C2×#11761613C2311yescharacteristic
287C2×#11761613C2311yescharacteristic
288C2×#11761613C2311yescharacteristic
289C2×#11761613C2311yescharacteristic
290C2×#11761612—24no—
291C2×#11761612C2311yescharacteristic
292C2×#11761612C2311yescharacteristic
293C2×#11761612C2311yescharacteristic
294C2×#11761612C2311yescharacteristic
295C22×C67⋊C8—24no—
296C22×C67⋊C8C2311yescharacteristic
297C22×C67⋊C8C2311yescharacteristic
298C22×C67⋊C8C2311yescharacteristic
299C22×C67⋊C8C2311yescharacteristic
300C22×C67⋊C8C2311yescharacteristic
301C22×C67⋊C8C2311yescharacteristic
302C22×C67⋊C8C2311yescharacteristic
303C22×C67⋊C8C2311yescharacteristic
304#14524043C2311yescharacteristic
305#14524042—21no—
306#14524040C2311yescharacteristic
307#14524039—21no—
308#14524031C2311yescharacteristic
309#14524031C2311yescharacteristic
310#14524029—21no—
311#14524029—21no—
312#14524028—21no—
313#14524028—21no—
314#14524026—21no—
315#14524026—21no—
316#14524025—21no—
317#14524025—21no—
318#14524022C2311yescharacteristic
319#14524022C2311yescharacteristic
320#14524022C2311yescharacteristic
321#14524022C2311yescharacteristic
322#14524021—21no—
323#14524021—21no—
324#14524020—21no—
325#14524020—21no—
326#14524018—21no—
327#14524017—21no—
328#14524017—21no—
329#14524017C2311yescharacteristic
330#14524017C2311yescharacteristic
331#14524017C2311yescharacteristic
332#14524017C2311yescharacteristic
333#14524016—21no—
334#14524016—21no—
335#14524016—21no—
336#14524016—21no—
337#14524015—21no—
338#14524015—21no—
339#14524014—21no—
340#14524013—21no—
341#14524013—21no—
342#14524012—21no—
343#14524012—21no—
344#14524011—21no—
345#14524011—21no—
346C4×Dic134C2311yescharacteristic
347C4×Dic134C2311yescharacteristic
348C4×D268—21no—
349C4×D268—21no—
350C4×D268C2311yescharacteristic
351C4×D268C2311yescharacteristic
352D4×Dic67—21no—
353#14524005—21no—
354C4×C22⋊D67—21no—
355C4×C22⋊D67—21no—
356C4×C22⋊D67—21no—
357C4×C22⋊D67—21no—
358C4×C22⋊D67—21no—
359C4×C22⋊D67—21no—
360(C22⋊D67)⋊C4—21no—
361(C22⋊D67)⋊C4—21no—
362#14524002C2311yescharacteristic
363#14524000—21no—
364C4⋊C4×D67—21no—
365C22⋊C4×D67—21no—
366C22⋊C4×D67—21no—
367C42×D67—21no—
368#14523976C2311yescharacteristic
369#14523976C2311yescharacteristic
370#14523974C2311yescharacteristic
371#14523974C2311yescharacteristic
372C4⋊(C67⋊C8)C2311yescharacteristic
373C4⋊(C67⋊C8)C2311yescharacteristic
374C4⋊(C67⋊C8)C2311yescharacteristic
375C4⋊(C67⋊C8)C2311yescharacteristic
376#14523967C2311yescharacteristic
377#14523967C2311yescharacteristic
378#14523967C2311yescharacteristic
379#14523967C2311yescharacteristic
380#14523967C2311yescharacteristic
381#14523967C2311yescharacteristic
382#14523966C2311yescharacteristic
383#14523966C2311yescharacteristic
384#14523966C2311yescharacteristic
385#14523966C2311yescharacteristic
386#14523966C2311yescharacteristic
387#14523966C2311yescharacteristic
388#14523964C2311yescharacteristic
389#14523964C2311yescharacteristic
390#14523964C2311yescharacteristic
391#14523964C2311yescharacteristic
392#14523964C2311yescharacteristic
393#14523964C2311yescharacteristic
394#14523963C2311yescharacteristic
395#14523963C2311yescharacteristic
396#14523963C2311yescharacteristic
397#14523963C2311yescharacteristic
398#14523963C2311yescharacteristic
399#14523963C2311yescharacteristic
400C22⋊(C67⋊C8)C2311yescharacteristic
401C22⋊(C67⋊C8)C2311yescharacteristic
402C22⋊(C67⋊C8)C2311yescharacteristic
403C22⋊(C67⋊C8)C2311yescharacteristic
404C22⋊(C67⋊C8)C2311yescharacteristic
405C22⋊(C67⋊C8)C2311yescharacteristic
406C22⋊(C67⋊C8)C2311yescharacteristic
407C22⋊(C67⋊C8)C2311yescharacteristic
408#14523954C2311yescharacteristic
409#14523954C2311yescharacteristic
410#14523954C2311yescharacteristic
411#14523954C2311yescharacteristic
412C2×#41×C67—21no—
413C2×#41×C67—21no—
414C2×#41×C67—21no—
415C2×#41×C67—21no—
416C2×#41×C67—24no—
417C2×#41×C67—24no—
418C2×#41×C67—42no—
419C2×#41×C67—42no—
420C2×#41×C67C2311yescharacteristic
421C2×#41×C67C2311yescharacteristic
422C2×#41×C67C2311yescharacteristic
423C2×#41×C67C2311yescharacteristic
424C2×#41×C67C2311yescharacteristic
425C2×#41×C67C2311yescharacteristic
426C2×#41×C67C2311yescharacteristic
427C22×Q8×C67C2311yescharacteristic
428C22×Q8×C67C2311yescharacteristic
429C22×D4×C67—21no—
430C22×D4×C67—21no—
431C22×D4×C67—21no—
432C22×D4×C67D411yescharacteristic
433C22×D4×C67C2311yescharacteristic
434C22×D4×C67C2311yescharacteristic
435C23×C4×C67—21no—
436C23×C4×C67—21no—
437C23×C4×C67C2311yescharacteristic
438C23×C4×C67C2311yescharacteristic
439C4⋊Q8×C67—21no—
440C4⋊Q8×C67C2311yescharacteristic
441#127×C67—21no—
442#127×C67C2311yescharacteristic
443#124×C67—21no—
444#124×C67—21no—
445#124×C67C2311yescharacteristic
446#124×C67C2311yescharacteristic
447#123×C67—21no—
448#123×C67—21no—
449#123×C67—21no—
450#123×C67—21no—
451#123×C67—21no—
452#123×C67—21no—
453C22⋊Q8×C67—21no—
454C22⋊Q8×C67—21no—
455C22⋊Q8×C67—21no—
456C22⋊Q8×C67—21no—
457C22⋊Q8×C67C2311yescharacteristic
458C22⋊Q8×C67C2311yescharacteristic
459C22⋊Q8×C67C2311yescharacteristic
460C22⋊Q8×C67C2311yescharacteristic
461#121×C67—21no—
462#121×C67—21no—
463#121×C67—21no—
464#121×C67—21no—
465#121×C67—21no—
466#121×C67—21no—
467#121×C67—21no—
468#121×C67—21no—
469#121×C67—21no—
470#121×C67—21no—
471#121×C67C2311yescharacteristic
472#121×C67C2311yescharacteristic
473#121×C67C2311yescharacteristic
474#121×C67C2311yescharacteristic
475#120×C67—21no—
476#120×C67—21no—
477#120×C67—21no—
478#120×C67—21no—
479#120×C67—21no—
480#120×C67—21no—
481C4×Q8×C67C2311yescharacteristic
482C4×Q8×C67C2311yescharacteristic
483C4×D4×C67—21no—
484C4×D4×C67—21no—
485C4×D4×C67—21no—
486C4×D4×C67—21no—
487C4×D4×C67—21no—
488C4×D4×C67—21no—
489C4×D4×C67—21no—
490C4×D4×C67—21no—
491C4×D4×C67—21no—
492C4×D4×C67—21no—
493C4×D4×C67—21no—
494C4×D4×C67—21no—
495C4×D4×C67D411yescharacteristic
496C4×D4×C67D411yescharacteristic
497C4×D4×C67D411yescharacteristic
498C4×D4×C67D411yescharacteristic
499C4×D4×C67C2311yescharacteristic
500C4×D4×C67C2311yescharacteristic
501C4×D4×C67C2311yescharacteristic
502C4×D4×C67C2311yescharacteristic
503C4×D4×C67C2311yescharacteristic
504C4×D4×C67C2311yescharacteristic
505#117×C67—21no—
506#117×C67C2311yescharacteristic
507C2×C4⋊C4×C67—21no—
508C2×C4⋊C4×C67D411yescharacteristic
509C2×C22⋊C4×C67—21no—
510C2×C22⋊C4×C67—21no—
511C2×C22⋊C4×C67D411yescharacteristic
512C2×C22⋊C4×C67D411yescharacteristic
513C2×C42×C67—21no—
514C2×C42×C67C2311yescharacteristic
515C23×D67—21no—
516C23×D67—21no—
517#11761628—22no—
518#11761628—22no—
519#11761628—22no—
520#11761628—22no—
521#11761628—22no—
522#11761628—22no—
523#11761628—22no—
524#11761628—22no—
525#11761628—22no—
526#11761628—41no—
527#11761628—41no—
528#11761628—41no—
529#11761628—41no—
530#11761628—44no—
531#11761628—44no—
532#11761628—44no—
533#11761628—44no—
534#11761628C2×D414yescomplemented
535C2×Dic134—22no—
536C2×Dic134—22no—
537C2×Dic134—21no—
538C2×Dic134—21no—
539C2×Dic134—41no—
540C2×Dic134—41no—
541C2×Dic134C2411yescharacteristic
542C2×Dic134C2411yescharacteristic
543C2×Dic134C2411yescharacteristic
544C2×D268—22no—
545C2×D268—22no—
546C2×D268—21no—
547C2×D268—21no—
548C2×D268—21no—
549C2×D268—21no—
550C2×D268—41no—
551C2×D268—41no—
552C2×D268C2411yescharacteristic
553C2×D268C2411yescharacteristic
554C2×D268C2411yescharacteristic
555C2×C22⋊D67—21no—
556C2×C22⋊D67—21no—
557C2×C22⋊D67—21no—
558C2×C22⋊D67—21no—
559C2×C22⋊D67—21no—
560C2×C22⋊D67—21no—
561C2×C22⋊D67—21no—
562C2×C22⋊D67—21no—
563C2×C22⋊D67—21no—
564C2×C22⋊D67—21no—
565C2×C22⋊D67—21no—
566C2×C22⋊D67—44no—
567C2×C22⋊D67—44no—
568D4×D67—44no—
569C22×Dic67—21no—
570C22×Dic67—21no—
571C2×C4×D67—21no—
572C2×C4×D67—21no—
573C2×C4×D67—21no—
574C2×C4×D67—21no—
575C2×C4×D67—21no—
576C2×C4×D67—21no—
577C2×C4×D67—21no—
578C2×C4×D67—21no—
579C2×C4×D67—21no—
580C2×C4×D67—44no—
581C2×C4×D67—44no—
582#11761618—22no—
583#11761618—22no—
584#11761618—22no—
585#11761618—22no—
586#11761618—22no—
587#11761618—22no—
588#11761618—41no—
589#11761618—41no—
590#11761618C2×D414yescomplemented
591#11761616—22no—
592#11761616—22no—
593#11761616—22no—
594#11761616—22no—
595#11761616—22no—
596#11761616—22no—
597#11761616—41no—
598#11761616—41no—
599#11761616C2×D414yescomplemented
600#11761615—22no—
601#11761615—22no—
602#11761615—22no—
603#11761615—22no—
604#11761615—22no—
605#11761615—22no—
606#11761615—41no—
607#11761615—41no—
608#11761615C2×D414yescomplemented
609#11761613—22no—
610#11761613—22no—
611#11761613—22no—
612#11761613—22no—
613#11761613—22no—
614#11761613—22no—
615#11761613—41no—
616#11761613—41no—
617#11761613C2×D414yescomplemented
618#11761612—22no—
619#11761612—22no—
620#11761612—22no—
621#11761612—22no—
622C2×C67⋊C8—22no—
623C2×C67⋊C8—22no—
624C2×C67⋊C8—22no—
625C2×C67⋊C8—22no—
626C2×C67⋊C8—22no—
627C2×C67⋊C8—22no—
628C2×C67⋊C8—22no—
629C2×C67⋊C8C2×D414yescomplemented
630C2×C67⋊C8C2411yescharacteristic
631C2×C67⋊C8C2411yescharacteristic
632C2×C67⋊C8C2411yescharacteristic
633C2×C67⋊C8C2411yescharacteristic
634C2×C67⋊C8C2411yescharacteristic
635C2×C67⋊C8C2411yescharacteristic
636C2×C67⋊C8C2411yescharacteristic
637C2×C67⋊C8C2411yescharacteristic
638C4⋊Dic67—21no—
639C4⋊Dic67—21no—
640C4⋊Dic67C2411yescharacteristic
641C4⋊Dic67C2411yescharacteristic
642Dic67⋊C4—21no—
643Dic67⋊C4—21no—
644Dic67⋊C4—21no—
645Dic67⋊C4—21no—
646Dic67⋊C4—21no—
647Dic67⋊C4—21no—
648C22⋊Dic67—21no—
649C22⋊Dic67—21no—
650C22⋊Dic67—21no—
651C22⋊Dic67—21no—
652C22⋊Dic67—21no—
653(C2×D67)⋊C4—21no—
654(C2×D67)⋊C4—21no—
655(C2×D67)⋊C4—21no—
656(C2×D67)⋊C4—21no—
657(C2×D67)⋊C4—21no—
658(C2×D67)⋊C4—21no—
659(C2×D67)⋊C4—21no—
660(C2×D67)⋊C4—21no—
661(C2×D67)⋊C4—21no—
662(C2×D67)⋊C4—21no—
663C4×Dic67—21no—
664C4×Dic67—21no—
665C4×Dic67—21no—
666C24×C67—21no—
667C24×C67—21no—
668C24×C67C2×D411yescharacteristic
669C24×C67C2×D411yescharacteristic
670#41×C67—22no—
671#41×C67—22no—
672#41×C67—22no—
673#41×C67—22no—
674#41×C67—22no—
675#41×C67—22no—
676#41×C67—22no—
677#41×C67—22no—
678#41×C67—22no—
679#41×C67—44no—
680#41×C67—44no—
681#41×C67—41no—
682#41×C67—41no—
683#41×C67—41no—
684#41×C67—41no—
685#41×C67—44no—
686#41×C67—44no—
687#41×C67C2×D414yescomplemented
688C2×Q8×C67—21no—
689C2×Q8×C67—21no—
690C2×Q8×C67—22no—
691C2×Q8×C67—22no—
692C2×Q8×C67—41no—
693C2×Q8×C67—41no—
694C2×Q8×C67C2411yescharacteristic
695C2×Q8×C67C2411yescharacteristic
696C2×Q8×C67C2411yescharacteristic
697C2×D4×C67—21no—
698C2×D4×C67—22no—
699C2×D4×C67—22no—
700C2×D4×C67—21no—
701C2×D4×C67—21no—
702C2×D4×C67—21no—
703C2×D4×C67—21no—
704C2×D4×C67—21no—
705C2×D4×C67—21no—
706C2×D4×C67—21no—
707C2×D4×C67—21no—
708C2×D4×C67—21no—
709C2×D4×C67—21no—
710C2×D4×C67—21no—
711C2×D4×C67—21no—
712C2×D4×C67—21no—
713C2×D4×C67—21no—
714C2×D4×C67—41no—
715C2×D4×C67—41no—
716C2×D4×C67—42no—
717C2×D4×C67—44no—
718C2×D4×C67—44no—
719C2×D4×C67—44no—
720C2×D4×C67C2×D411yescharacteristic
721C2×D4×C67C2×D411yescharacteristic
722C2×D4×C67C2×D411yescharacteristic
723C2×D4×C67C2×D411yescharacteristic
724C2×D4×C67C2411yescharacteristic
725C2×D4×C67C2411yescharacteristic
726C2×D4×C67C2411yescharacteristic
727C22×C4×C67—21no—
728C22×C4×C67—22no—
729C22×C4×C67—22no—
730C22×C4×C67—22no—
731C22×C4×C67—22no—
732C22×C4×C67—21no—
733C22×C4×C67—21no—
734C22×C4×C67—21no—
735C22×C4×C67—21no—
736C22×C4×C67—21no—
737C22×C4×C67—21no—
738C22×C4×C67—21no—
739C22×C4×C67—21no—
740C22×C4×C67—21no—
741C22×C4×C67—21no—
742C22×C4×C67—44no—
743C22×C4×C67—44no—
744C22×C4×C67C2×D411yescharacteristic
745C22×C4×C67C2×D411yescharacteristic
746C22×C4×C67C2×D411yescharacteristic
747C22×C4×C67C2×D411yescharacteristic
748C22×C4×C67C2×D411yescharacteristic
749C22×C4×C67C2×D411yescharacteristic
750C22×C4×C67C2×D411yescharacteristic
751C22×C4×C67C2×D411yescharacteristic
752C22×C4×C67C2411yescharacteristic
753C22×C4×C67C2411yescharacteristic
754C22×C4×C67C2411yescharacteristic
755C22×C4×C67C2411yescharacteristic
756C22×C4×C67C2411yescharacteristic
757C4⋊C4×C67—21no—
758C4⋊C4×C67—21no—
759C4⋊C4×C67—21no—
760C4⋊C4×C67—21no—
761C4⋊C4×C67—21no—
762C4⋊C4×C67—21no—
763C4⋊C4×C67—21no—
764C4⋊C4×C67—21no—
765C4⋊C4×C67C2×D411yescharacteristic
766C4⋊C4×C67C2×D411yescharacteristic
767C4⋊C4×C67C2×D411yescharacteristic
768C4⋊C4×C67C2×D411yescharacteristic
769C4⋊C4×C67C2411yescharacteristic
770C4⋊C4×C67C2411yescharacteristic
771C22⋊C4×C67—21no—
772C22⋊C4×C67—21no—
773C22⋊C4×C67—21no—
774C22⋊C4×C67—21no—
775C22⋊C4×C67—21no—
776C22⋊C4×C67—21no—
777C22⋊C4×C67—21no—
778C22⋊C4×C67—21no—
779C22⋊C4×C67—21no—
780C22⋊C4×C67—21no—
781C22⋊C4×C67—21no—
782C22⋊C4×C67—21no—
783C22⋊C4×C67—21no—
784C22⋊C4×C67—21no—
785C22⋊C4×C67—21no—
786C22⋊C4×C67C2×D411yescharacteristic
787C22⋊C4×C67C2×D411yescharacteristic
788C22⋊C4×C67C2×D411yescharacteristic
789C22⋊C4×C67C2×D411yescharacteristic
790C22⋊C4×C67C2×D411yescharacteristic
791C22⋊C4×C67C2×D411yescharacteristic
792C22⋊C4×C67C2×D411yescharacteristic
793C22⋊C4×C67C2×D411yescharacteristic
794C42×C67—21no—
795C42×C67—21no—
796C42×C67—21no—
797C42×C67C2×D411yescharacteristic
798C42×C67C2×D411yescharacteristic
799C42×C67C2411yescharacteristic
800C42×C67C2411yescharacteristic
801C23×C67—22no—
802C23×C67—22no—
803C23×C67—21no—
804C23×C67—22no—
805C23×C67—21no—
806C23×C67—21no—
807C23×C67—41no—
808C23×C67—41no—
809C23×C67—41no—
810C23×C67—42no—
811C23×C67—42no—
812C23×C67—42no—
813C23×C67—42no—
814C23×C67—81no—
815C23×C67—81no—
816C23×C67C22×D411yescharacteristic
817C23×C67C22×D411yescharacteristic
818C23×C67C22×D411yescharacteristic
819C23×C67C22×D411yescharacteristic
820C23×C67C22×D411yescharacteristic
821C22×D67—21no—
822C22×D67—21no—
823C22×D67—21no—
824C22×D67—42no—
825C22×D67—42no—
826C22×D67—42no—
827C22×D67—42no—
828C22×D67—81no—
829C22×D67—81no—
830Q8×C67—21no—
831Q8×C67—21no—
832Q8×C67—21no—
833Q8×C67—21no—
834Q8×C67—21no—
835Q8×C67—42no—
836Q8×C67—42no—
837Q8×C67C22×D412yes—
838D4×C67—24no—
839D4×C67—22no—
840D4×C67—22no—
841D4×C67—21no—
842D4×C67—21no—
843D4×C67—21no—
844D4×C67—21no—
845D4×C67—21no—
846D4×C67—41no—
847D4×C67—41no—
848D4×C67—42no—
849D4×C67—42no—
850D4×C67—42no—
851D4×C67—42no—
852D4×C67—42no—
853D4×C67—42no—
854D4×C67—42no—
855D4×C67—42no—
856D4×C67—42no—
857D4×C67—42no—
858D4×C67—42no—
859D4×C67—81no—
860D4×C67—81no—
861D4×C67—81no—
862D4×C67C22×D412yes—
863C2×C4×C67—22no—
864C2×C4×C67—22no—
865C2×C4×C67—21no—
866C2×C4×C67—22no—
867C2×C4×C67—22no—
868C2×C4×C67—22no—
869C2×C4×C67—22no—
870C2×C4×C67—24no—
871C2×C4×C67—21no—
872C2×C4×C67—21no—
873C2×C4×C67—21no—
874C2×C4×C67—21no—
875C2×C4×C67—21no—
876C2×C4×C67—21no—
877C2×C4×C67—21no—
878C2×C4×C67—21no—
879C2×C4×C67—21no—
880C2×C4×C67—21no—
881C2×C4×C67—21no—
882C2×C4×C67—21no—
883C2×C4×C67—41no—
884C2×C4×C67—41no—
885C2×C4×C67—42no—
886C2×C4×C67—42no—
887C2×C4×C67—42no—
888C2×C4×C67—42no—
889C2×C4×C67—42no—
890C2×C4×C67—42no—
891C2×C4×C67—42no—
892C2×C4×C67—42no—
893C2×C4×C67—42no—
894C2×C4×C67—81no—
895C2×C4×C67C22×D412yes—
896C2×C4×C67C22×D411yescharacteristic
897C2×C4×C67C22×D411yescharacteristic
898C2×C4×C67C22×D411yescharacteristic
899C2×C4×C67C22×D411yescharacteristic
900C2×C4×C67C22×D411yescharacteristic
901C2×C4×C67C22×D411yescharacteristic
902C2×C4×C67C22×D411yescharacteristic
903C2×C4×C67C22×D411yescharacteristic
904C2×C4×C67C22×D411yescharacteristic
905C2×C4×C67H(5,𝔽2)12yes—
906C2×C4×C67C2511yescharacteristic
907C22⋊D67—24no—
908C22⋊D67—42no—
909C22⋊D67—42no—
910C22⋊D67—42no—
911C22⋊D67—42no—
912C22⋊D67—42no—
913C22⋊D67—42no—
914C22⋊D67—42no—
915C22⋊D67—42no—
916C22⋊D67—81no—
917C22⋊D67—81no—
918C2×Dic67—21no—
919C2×Dic67—21no—
920C2×Dic67—21no—
921C2×Dic67—21no—
922C2×Dic67—21no—
923C2×Dic67—42no—
924C2×Dic67—42no—
925D268—21no—
926D268—21no—
927D268—21no—
928D268—21no—
929D268—21no—
930D268—42no—
931D268—42no—
932D268—42no—
933D268—81no—
934D268C22×D412yes—
935C4×D67—24no—
936C4×D67—42no—
937C4×D67—42no—
938C4×D67—42no—
939C4×D67—42no—
940C4×D67—42no—
941C4×D67—42no—
942C4×D67—42no—
943C4×D67—81no—
944Dic134—21no—
945Dic134—21no—
946Dic134—21no—
947Dic134—21no—
948Dic134—21no—
949Dic134—42no—
950Dic134—42no—
951Dic134C22×D412yes—
952C67⋊C8—21no—
953C67⋊C8—21no—
954C67⋊C8—21no—
955C67⋊C8—21no—
956C67⋊C8—21no—
957C67⋊C8—21no—
958C67⋊C8C22×D412yes—
959C67⋊C8C22×D412yes—
960C22×C67—21no—
961C22×C67—21no—
962C22×C67—21no—
963C22×C67—21no—
964C22×C67—21no—
965C22×C67—21no—
966C22×C67—21no—
967C22×C67—21no—
968C22×C67—21no—
969C22×C67—21no—
970C22×C67—22no—
971C22×C67—21no—
972C22×C67—21no—
973C22×C67—21no—
974C22×C67—44no—
975C22×C67—41no—
976C22×C67—41no—
977C22×C67—41no—
978C22×C67—41no—
979C22×C67—41no—
980C22×C67—41no—
981C22×C67—41no—
982C22×C67—41no—
983C22×C67—82no—
984C22×C67—84no—
985C22×C67—84no—
986C22×C67D4212yes—
987C22×C67#57512yescomplemented
988C22×C67C23×D411yescharacteristic
989C2×D67—22no—
990C2×D67—41no—
991C2×D67—41no—
992C2×D67—41no—
993C2×D67—41no—
994C2×D67—41no—
995C2×D67—41no—
996C2×D67—41no—
997C2×D67—41no—
998C2×D67—84no—
999C2×D67—84no—
1000C4×C67—21no—
1001C4×C67—21no—
1002C4×C67—21no—
1003C4×C67—21no—
1004C4×C67—21no—
1005C4×C67—21no—
1006C4×C67—22no—
1007C4×C67—21no—
1008C4×C67—21no—
1009C4×C67—41no—
1010C4×C67—41no—
1011C4×C67—41no—
1012C4×C67—41no—
1013C4×C67D4212yes—
1014C4×C67C23×D411yescharacteristic
1015C4×C67C2×H(5,𝔽2)11yescharacteristic
1016Dic67—22no—
1017Dic67—41no—
1018Dic67—41no—
1019Dic67—41no—
1020Dic67—41no—
1021#61030—671nomaximal, Sylow
1022C2×C67—22no—
1023C2×C67—22no—
1024C2×C67—41no—
1025C2×C67—41no—
1026C2×C67—41no—
1027C2×C67—42no—
1028C2×C67—81no—
1029C2×C67—81no—
1030C2×C67C2×D4211yescharacteristic
1031C2×C67C2×#57511yescharacteristic
1032C2×C67#358411yescharacteristic
1033D67—42no—
1034D67—81no—
1035D67—81no—
1036C2×#575—671no—
1037C22×#135—671no—
1038D4×#41—671no—
1039D4×#41D6711yescharacteristic, complemented
1040#3271—671no—
1041#3271—671no—
1042#3270—671no—
1043#3270—671no—
1044#3269—671no—
1045#3269—671no—
1046#3268—671no—
1047#3268—671no—
1048#3267—671no—
1049#3267—671no—
1050#3266—671no—
1051#3266—671no—
1052#3265—671no—
1053#3265—671no—
1054#3264—671no—
1055#3264—671no—
1056#3150—671no—
1057#3054—671no—
1058#3050—671no—
1059#3035—671no—
1060#3035—671no—
1061#3002—671no—
1062#3002—671no—
1063#3002—671no—
1064#3002—671no—
1065#2943—671no—
1066C2×#435—671no—
1067C67#6103011yescharacteristic, complemented, Sylow
1068C22×#41—671no—
1069C22×#41—671no—
1070C22×#41C2×D6711yescharacteristic, complemented
1071C22×#41C2×D6711yescharacteristic, complemented
1072#575—1348no—
1073C2×#137—671no—
1074C2×#137—671no—
1075C2×#137—671no—
1076C2×#137—671no—
1077C2×AGL(1,ℤ/8)—671no—
1078C2×AGL(1,ℤ/8)—671no—
1079C2×AGL(1,ℤ/8)—671no—
1080C2×AGL(1,ℤ/8)—671no—
1081C2×#135—671no—
1082C2×#135—671no—
1083C2×#135—671no—
1084C2×#135—671no—
1085C2×#135—671no—
1086C2×#135—671no—
1087C2×#135—671no—
1088C2×#135—671no—
1089C2×#135—671no—
1090C2×#135—671no—
1091C2×#135—671no—
1092C2×#135—671no—
1093C2×#135—671no—
1094C2×#135—1348no—
1095C22×Q16—671no—
1096C22×SD16—671no—
1097C22×SD16—671no—
1098C22×D8—671no—
1099C22×M16—671no—
1100C23×C8—671no—
1101#550—671no—
1102#550C2×D6711yescharacteristic, complemented
1103D4×Q8—671no—
1104D4×Q8C2×D6711yescharacteristic, complemented
1105#548—671no—
1106#548—671no—
1107#548C2×D6711yescharacteristic
1108#548C2×D6711yescharacteristic, complemented
1109#547—21no—
1110#547—671no—
1111#547—1341no—
1112#547C2×D6711yescharacteristic, complemented
1113#546—21no—
1114#546—21no—
1115#546—671no—
1116#546—671no—
1117#546—1341no—
1118#546—1341no—
1119#546C2×D6711yescharacteristic
1120#546C2×D6711yescharacteristic, complemented
1121D42—21no—
1122D42—671no—
1123D42—1341no—
1124D42C2×D6711yescharacteristic, complemented
1125#532—21no—
1126#532—671no—
1127#532—1341no—
1128#532C2×D6711yescharacteristic, complemented
1129#525—21no—
1130#525—21no—
1131#525—671no—
1132#525—671no—
1133#525—1341no—
1134#525—1341no—
1135#525C2×D6711yescharacteristic, complemented
1136#525C2×D6711yescharacteristic, complemented
1137C4×#41—671no—
1138C4×#41C2×D6711yescharacteristic, complemented
1139C2×C4×D4—21no—
1140C2×C4×D4—1341no—
1141C2×C4×D4C2×D6711yescharacteristic
1142#497—671no—
1143#497—671no—
1144#497—671no—
1145#497—671no—
1146#496—671no—
1147#496—671no—
1148#496—671no—
1149#496—671no—
1150#470—671no—
1151#470—671no—
1152#469—671no—
1153#469—671no—
1154#468—671no—
1155#468—671no—
1156#468—671no—
1157#468—671no—
1158#467—671no—
1159#467—671no—
1160#466—671no—
1161#466—671no—
1162#465—671no—
1163#465—671no—
1164#465—671no—
1165#465—671no—
1166#464—671no—
1167#464—671no—
1168#464—671no—
1169#464—671no—
1170#463—671no—
1171#463—671no—
1172#463—671no—
1173#463—671no—
1174#462—671no—
1175#462—671no—
1176#461—671no—
1177#461—671no—
1178#460—671no—
1179#460—671no—
1180#459—671no—
1181#459—671no—
1182#452—671no—
1183#452—671no—
1184#452—671no—
1185#452—671no—
1186#452—671no—
1187#452—671no—
1188#452—671no—
1189#452—671no—
1190#451—671no—
1191#451—671no—
1192#451—671no—
1193#451—671no—
1194#450—671no—
1195#450—671no—
1196#450—671no—
1197#450—671no—
1198#449—671no—
1199#449—671no—
1200#449—671no—
1201#449—671no—
1202#449—671no—
1203#449—671no—
1204#449—671no—
1205#449—671no—
1206#448—671no—
1207#448—671no—
1208#448—671no—
1209#448—671no—
1210#447—671no—
1211#447—671no—
1212#447—671no—
1213#447—671no—
1214#442—671no—
1215#442—671no—
1216#441—671no—
1217#441—671no—
1218#440—671no—
1219#440—671no—
1220#440—671no—
1221#440—671no—
1222#435—671no—
1223#435—671no—
1224#435—671no—
1225#435—671no—
1226#435—671no—
1227#435—671no—
1228#435—671no—
1229#435—671no—
1230#427—671no—
1231C2×C4⋊C8—671no—
1232#416—671no—
1233#416—671no—
1234#416—671no—
1235#416—671no—
1236#416—671no—
1237#416—671no—
1238C2×C22⋊C8—671no—
1239C2×C22⋊C8—671no—
1240C2×#97—671no—
1241C2×#41—21no—
1242C2×#41—21no—
1243C2×#41—21no—
1244C2×#41—21no—
1245C2×#41—24no—
1246C2×#41—24no—
1247C2×#41—42no—
1248C2×#41—42no—
1249C2×#41—2682no—
1250C2×#41—2682no—
1251C2×#41—671no—
1252C2×#41—671no—
1253C2×#41—671no—
1254C2×#41—671no—
1255C2×#41—671no—
1256C2×#41—671no—
1257C2×#41—671no—
1258C2×#41—1344no—
1259C2×#41—1344no—
1260C2×#41—1341no—
1261C2×#41—1341no—
1262C2×#41—1341no—
1263C2×#41—1341no—
1264C2×#41C22×D6711yescharacteristic
1265C2×#41C22×D6711yescharacteristic
1266C2×#41C22×D6711yescharacteristic
1267C2×#41C22×D6711yescharacteristic
1268C2×#41C22×D6711yescharacteristic
1269C2×#41C22×D6711yescharacteristic
1270C2×#41C22×D6711yescharacteristic
1271C22×Q8—671no—
1272C22×Q8—671no—
1273C22×Q8C22×D6711yescharacteristic
1274C22×Q8C22×D6711yescharacteristic
1275C22×D4—21no—
1276C22×D4—21no—
1277C22×D4—21no—
1278C22×D4—671no—
1279C22×D4—671no—
1280C22×D4—1341no—
1281C22×D4—1341no—
1282C22×D4—1341no—
1283C22×D4C22⋊D6711yescharacteristic
1284C22×D4C22×D6711yescharacteristic
1285C22×D4C22×D6711yescharacteristic
1286C23×C4—21no—
1287C23×C4—21no—
1288C23×C4—1341no—
1289C23×C4—1341no—
1290C23×C4C22×D6711yescharacteristic
1291C23×C4C22×D6711yescharacteristic
1292#137—1344no—
1293#137—1344no—
1294#137—1344no—
1295#137—1344no—
1296AGL(1,ℤ/8)—1344no—
1297AGL(1,ℤ/8)—1344no—
1298AGL(1,ℤ/8)—1344no—
1299AGL(1,ℤ/8)—1344no—
1300#135—2682no—
1301#135—2682no—
1302#135—678no—
1303#135—1344no—
1304#135—1344no—
1305#135—1344no—
1306#135—1344no—
1307#135—1344no—
1308#135—1344no—
1309#135—1344no—
1310#135—1344no—
1311#135—1344no—
1312#135—1344no—
1313C2×Q16—671no—
1314C2×Q16—671no—
1315C2×Q16—671no—
1316C2×Q16—671no—
1317C2×Q16—671no—
1318C2×Q16—671no—
1319C2×Q16—671no—
1320C2×Q16—671no—
1321C2×Q16—671no—
1322C2×Q16—1344no—
1323C2×SD16—671no—
1324C2×SD16—671no—
1325C2×SD16—671no—
1326C2×SD16—671no—
1327C2×SD16—671no—
1328C2×SD16—671no—
1329C2×SD16—671no—
1330C2×SD16—671no—
1331C2×SD16—671no—
1332C2×SD16—671no—
1333C2×SD16—671no—
1334C2×SD16—671no—
1335C2×SD16—671no—
1336C2×SD16—671no—
1337C2×SD16—671no—
1338C2×SD16—671no—
1339C2×SD16—671no—
1340C2×SD16—671no—
1341C2×SD16—1344no—
1342C2×SD16—1344no—
1343C2×D8—671no—
1344C2×D8—671no—
1345C2×D8—671no—
1346C2×D8—671no—
1347C2×D8—671no—
1348C2×D8—671no—
1349C2×D8—671no—
1350C2×D8—671no—
1351C2×D8—671no—
1352C2×D8—1344no—
1353C2×M16—671no—
1354C2×M16—671no—
1355C2×M16—671no—
1356C2×M16—671no—
1357C2×M16—1344no—
1358C22×C8—671no—
1359C22×C8—671no—
1360C22×C8—671no—
1361C22×C8—671no—
1362C22×C8—671no—
1363C22×C8—671no—
1364C22×C8—671no—
1365C22×C8—671no—
1366C22×C8—1344no—
1367C4⋊Q8—21no—
1368C4⋊Q8—671no—
1369C4⋊Q8—1341no—
1370C4⋊Q8C22×D6711yescharacteristic
1371#127—21no—
1372#127—671no—
1373#127—1341no—
1374#127C22×D6711yescharacteristic
1375#124—21no—
1376#124—21no—
1377#124—671no—
1378#124—671no—
1379#124—1341no—
1380#124—1341no—
1381#124C22×D6711yescharacteristic
1382#124C22×D6711yescharacteristic
1383#123—21no—
1384#123—21no—
1385#123—21no—
1386#123—21no—
1387#123—21no—
1388#123—21no—
1389#123—1341no—
1390#123—1341no—
1391#123—1341no—
1392#123—1341no—
1393#123—1341no—
1394#123—1341no—
1395C22⋊Q8—21no—
1396C22⋊Q8—21no—
1397C22⋊Q8—21no—
1398C22⋊Q8—21no—
1399C22⋊Q8—671no—
1400C22⋊Q8—671no—
1401C22⋊Q8—671no—
1402C22⋊Q8—671no—
1403C22⋊Q8—1341no—
1404C22⋊Q8—1341no—
1405C22⋊Q8—1341no—
1406C22⋊Q8—1341no—
1407C22⋊Q8C22×D6711yescharacteristic
1408C22⋊Q8C22×D6711yescharacteristic
1409C22⋊Q8C22×D6711yescharacteristic
1410C22⋊Q8C22×D6711yescharacteristic
1411#121—21no—
1412#121—21no—
1413#121—21no—
1414#121—21no—
1415#121—21no—
1416#121—21no—
1417#121—21no—
1418#121—21no—
1419#121—21no—
1420#121—21no—
1421#121—671no—
1422#121—671no—
1423#121—671no—
1424#121—671no—
1425#121—1341no—
1426#121—1341no—
1427#121—1341no—
1428#121—1341no—
1429#121—1341no—
1430#121—1341no—
1431#121—1341no—
1432#121—1341no—
1433#121—1341no—
1434#121—1341no—
1435#121C22×D6711yescharacteristic
1436#121C22×D6711yescharacteristic
1437#121C22×D6711yescharacteristic
1438#121C22×D6711yescharacteristic
1439#120—21no—
1440#120—21no—
1441#120—21no—
1442#120—21no—
1443#120—21no—
1444#120—21no—
1445#120—1341no—
1446#120—1341no—
1447#120—1341no—
1448#120—1341no—
1449#120—1341no—
1450#120—1341no—
1451C4×Q8—671no—
1452C4×Q8—671no—
1453C4×Q8C22×D6711yescharacteristic
1454C4×Q8C22×D6711yescharacteristic
1455C4×D4—21no—
1456C4×D4—21no—
1457C4×D4—21no—
1458C4×D4—21no—
1459C4×D4—21no—
1460C4×D4—21no—
1461C4×D4—21no—
1462C4×D4—21no—
1463C4×D4—21no—
1464C4×D4—21no—
1465C4×D4—21no—
1466C4×D4—21no—
1467C4×D4—671no—
1468C4×D4—671no—
1469C4×D4—1341no—
1470C4×D4—1341no—
1471C4×D4—1341no—
1472C4×D4—1341no—
1473C4×D4—1341no—
1474C4×D4—1341no—
1475C4×D4—1341no—
1476C4×D4—1341no—
1477C4×D4—1341no—
1478C4×D4—1341no—
1479C4×D4—1341no—
1480C4×D4—1341no—
1481C4×D4C22⋊D6711yescharacteristic
1482C4×D4C22⋊D6711yescharacteristic
1483C4×D4C22⋊D6711yescharacteristic
1484C4×D4C22⋊D6711yescharacteristic
1485C4×D4C22×D6711yescharacteristic
1486C4×D4C22×D6711yescharacteristic
1487C4×D4C22×D6711yescharacteristic
1488C4×D4C22×D6711yescharacteristic
1489C4×D4C22×D6711yescharacteristic
1490C4×D4C22×D6711yescharacteristic
1491#117—21no—
1492#117—671no—
1493#117—1341no—
1494#117C22×D6711yescharacteristic
1495C2×C4⋊C4—21no—
1496C2×C4⋊C4—1341no—
1497C2×C4⋊C4C22⋊D6711yescharacteristic
1498C2×C22⋊C4—21no—
1499C2×C22⋊C4—21no—
1500C2×C22⋊C4—1341no—
1501C2×C22⋊C4—1341no—
1502C2×C22⋊C4C22⋊D6711yescharacteristic
1503C2×C22⋊C4C22⋊D6711yescharacteristic
1504C2×C42—21no—
1505C2×C42—1341no—
1506C2×C42C22×D6711yescharacteristic
1507#107—671no—
1508#107—671no—
1509#106—671no—
1510#106—671no—
1511C4⋊C8—671no—
1512C4⋊C8—671no—
1513C4⋊C8—671no—
1514C4⋊C8—671no—
1515#103—671no—
1516#103—671no—
1517#103—671no—
1518#103—671no—
1519#103—671no—
1520#103—671no—
1521#103—671no—
1522#103—671no—
1523#103—671no—
1524#103—671no—
1525#103—671no—
1526#103—671no—
1527#102—671no—
1528#102—671no—
1529#102—671no—
1530#102—671no—
1531#102—671no—
1532#102—671no—
1533#102—671no—
1534#102—671no—
1535#102—671no—
1536#102—671no—
1537#102—671no—
1538#102—671no—
1539C22⋊C8—671no—
1540C22⋊C8—671no—
1541C22⋊C8—671no—
1542C22⋊C8—671no—
1543C22⋊C8—671no—
1544C22⋊C8—671no—
1545C22⋊C8—671no—
1546C22⋊C8—671no—
1547#97—671no—
1548#97—671no—
1549#97—671no—
1550#97—671no—
1551C24—21no—
1552C24—21no—
1553C24—1341no—
1554C24—1341no—
1555C24C2×C22⋊D6711yescharacteristic
1556C24C2×C22⋊D6711yescharacteristic
1557#41—22no—
1558#41—22no—
1559#41—22no—
1560#41—22no—
1561#41—22no—
1562#41—22no—
1563#41—22no—
1564#41—22no—
1565#41—22no—
1566#41—44no—
1567#41—44no—
1568#41—41no—
1569#41—41no—
1570#41—41no—
1571#41—41no—
1572#41—44no—
1573#41—44no—
1574#41—2684no—
1575#41—2684no—
1576#41—2681no—
1577#41—2681no—
1578#41—2681no—
1579#41—2681no—
1580#41—2684no—
1581#41—2684no—
1582#41—674no—
1583#41—1342no—
1584#41—1342no—
1585#41—1342no—
1586#41—1342no—
1587#41—1342no—
1588#41—1342no—
1589#41—1342no—
1590#41—1342no—
1591#41—1342no—
1592#41D4×D6714yescomplemented
1593C2×Q8—21no—
1594C2×Q8—21no—
1595C2×Q8—22no—
1596C2×Q8—22no—
1597C2×Q8—41no—
1598C2×Q8—41no—
1599C2×Q8—2681no—
1600C2×Q8—2681no—
1601C2×Q8—671no—
1602C2×Q8—671no—
1603C2×Q8—671no—
1604C2×Q8—1342no—
1605C2×Q8—1342no—
1606C2×Q8—1341no—
1607C2×Q8—1341no—
1608C2×Q8C23×D6711yescharacteristic
1609C2×Q8C23×D6711yescharacteristic
1610C2×Q8C23×D6711yescharacteristic
1611C2×D4—21no—
1612C2×D4—22no—
1613C2×D4—22no—
1614C2×D4—21no—
1615C2×D4—21no—
1616C2×D4—21no—
1617C2×D4—21no—
1618C2×D4—21no—
1619C2×D4—21no—
1620C2×D4—21no—
1621C2×D4—21no—
1622C2×D4—21no—
1623C2×D4—21no—
1624C2×D4—21no—
1625C2×D4—21no—
1626C2×D4—21no—
1627C2×D4—21no—
1628C2×D4—41no—
1629C2×D4—41no—
1630C2×D4—42no—
1631C2×D4—44no—
1632C2×D4—44no—
1633C2×D4—44no—
1634C2×D4—2681no—
1635C2×D4—2681no—
1636C2×D4—2684no—
1637C2×D4—2684no—
1638C2×D4—2684no—
1639C2×D4—671no—
1640C2×D4—671no—
1641C2×D4—671no—
1642C2×D4—1342no—
1643C2×D4—1342no—
1644C2×D4—1341no—
1645C2×D4—1341no—
1646C2×D4—1341no—
1647C2×D4—1341no—
1648C2×D4—1341no—
1649C2×D4—1341no—
1650C2×D4—1341no—
1651C2×D4—1341no—
1652C2×D4—1341no—
1653C2×D4—1341no—
1654C2×D4—1341no—
1655C2×D4—1341no—
1656C2×D4—1341no—
1657C2×D4—1341no—
1658C2×D4—1341no—
1659C2×D4C2×C22⋊D6711yescharacteristic
1660C2×D4C2×C22⋊D6711yescharacteristic
1661C2×D4C2×C22⋊D6711yescharacteristic
1662C2×D4C2×C22⋊D6711yescharacteristic
1663C2×D4C23×D6711yescharacteristic
1664C2×D4C23×D6711yescharacteristic
1665C2×D4C23×D6711yescharacteristic
1666C22×C4—22no—
1667C22×C4—22no—
1668C22×C4—21no—
1669C22×C4—22no—
1670C22×C4—22no—
1671C22×C4—21no—
1672C22×C4—21no—
1673C22×C4—21no—
1674C22×C4—21no—
1675C22×C4—21no—
1676C22×C4—21no—
1677C22×C4—21no—
1678C22×C4—21no—
1679C22×C4—21no—
1680C22×C4—21no—
1681C22×C4—44no—
1682C22×C4—44no—
1683C22×C4—2684no—
1684C22×C4—2684no—
1685C22×C4—1341no—
1686C22×C4—1341no—
1687C22×C4—1341no—
1688C22×C4—1341no—
1689C22×C4—1341no—
1690C22×C4—1341no—
1691C22×C4—1341no—
1692C22×C4—1341no—
1693C22×C4—1341no—
1694C22×C4—1341no—
1695C22×C4—1341no—
1696C22×C4C2×C22⋊D6711yescharacteristic
1697C22×C4C2×C22⋊D6711yescharacteristic
1698C22×C4C2×C22⋊D6711yescharacteristic
1699C22×C4C2×C22⋊D6711yescharacteristic
1700C22×C4C2×C22⋊D6711yescharacteristic
1701C22×C4C2×C22⋊D6711yescharacteristic
1702C22×C4C2×C22⋊D6711yescharacteristic
1703C22×C4C2×C22⋊D6711yescharacteristic
1704C22×C4C23×D6711yescharacteristic
1705C22×C4C23×D6711yescharacteristic
1706C22×C4C23×D6711yescharacteristic
1707C22×C4C23×D6711yescharacteristic
1708C22×C4C23×D6711yescharacteristic
1709Q16—2681no—
1710Q16—2681no—
1711Q16—674no—
1712Q16—1342no—
1713Q16—1342no—
1714Q16—1342no—
1715Q16—1342no—
1716Q16—1342no—
1717Q16—1342no—
1718SD16—2681no—
1719SD16—2681no—
1720SD16—2681no—
1721SD16—2681no—
1722SD16—674no—
1723SD16—674no—
1724SD16—1342no—
1725SD16—1342no—
1726SD16—1342no—
1727SD16—1342no—
1728SD16—1342no—
1729SD16—1342no—
1730SD16—1342no—
1731SD16—1342no—
1732SD16—1342no—
1733SD16—1342no—
1734SD16—1342no—
1735SD16—1342no—
1736D8—2681no—
1737D8—2681no—
1738D8—674no—
1739D8—1342no—
1740D8—1342no—
1741D8—1342no—
1742D8—1342no—
1743D8—1342no—
1744D8—1342no—
1745M16—1342no—
1746M16—1342no—
1747M16—1342no—
1748M16—1342no—
1749C2×C8—674no—
1750C2×C8—671no—
1751C2×C8—671no—
1752C2×C8—671no—
1753C2×C8—671no—
1754C2×C8—671no—
1755C2×C8—671no—
1756C2×C8—671no—
1757C2×C8—671no—
1758C2×C8—1342no—
1759C2×C8—1342no—
1760C2×C8—1342no—
1761C2×C8—1342no—
1762C2×C8—1342no—
1763C2×C8—1342no—
1764C2×C8—1342no—
1765C4⋊C4—21no—
1766C4⋊C4—21no—
1767C4⋊C4—21no—
1768C4⋊C4—21no—
1769C4⋊C4—21no—
1770C4⋊C4—21no—
1771C4⋊C4—21no—
1772C4⋊C4—21no—
1773C4⋊C4—671no—
1774C4⋊C4—671no—
1775C4⋊C4—1341no—
1776C4⋊C4—1341no—
1777C4⋊C4—1341no—
1778C4⋊C4—1341no—
1779C4⋊C4—1341no—
1780C4⋊C4—1341no—
1781C4⋊C4—1341no—
1782C4⋊C4—1341no—
1783C4⋊C4C2×C22⋊D6711yescharacteristic
1784C4⋊C4C2×C22⋊D6711yescharacteristic
1785C4⋊C4C2×C22⋊D6711yescharacteristic
1786C4⋊C4C2×C22⋊D6711yescharacteristic
1787C4⋊C4C23×D6711yescharacteristic
1788C4⋊C4C23×D6711yescharacteristic
1789C22⋊C4—21no—
1790C22⋊C4—21no—
1791C22⋊C4—21no—
1792C22⋊C4—21no—
1793C22⋊C4—21no—
1794C22⋊C4—21no—
1795C22⋊C4—21no—
1796C22⋊C4—21no—
1797C22⋊C4—21no—
1798C22⋊C4—21no—
1799C22⋊C4—21no—
1800C22⋊C4—21no—
1801C22⋊C4—21no—
1802C22⋊C4—21no—
1803C22⋊C4—21no—
1804C22⋊C4—1341no—
1805C22⋊C4—1341no—
1806C22⋊C4—1341no—
1807C22⋊C4—1341no—
1808C22⋊C4—1341no—
1809C22⋊C4—1341no—
1810C22⋊C4—1341no—
1811C22⋊C4—1341no—
1812C22⋊C4—1341no—
1813C22⋊C4—1341no—
1814C22⋊C4—1341no—
1815C22⋊C4—1341no—
1816C22⋊C4—1341no—
1817C22⋊C4—1341no—
1818C22⋊C4—1341no—
1819C22⋊C4C2×C22⋊D6711yescharacteristic
1820C22⋊C4C2×C22⋊D6711yescharacteristic
1821C22⋊C4C2×C22⋊D6711yescharacteristic
1822C22⋊C4C2×C22⋊D6711yescharacteristic
1823C22⋊C4C2×C22⋊D6711yescharacteristic
1824C22⋊C4C2×C22⋊D6711yescharacteristic
1825C22⋊C4C2×C22⋊D6711yescharacteristic
1826C22⋊C4C2×C22⋊D6711yescharacteristic
1827C42—21no—
1828C42—21no—
1829C42—21no—
1830C42—1341no—
1831C42—1341no—
1832C42—1341no—
1833C42C2×C22⋊D6711yescharacteristic
1834C42C2×C22⋊D6711yescharacteristic
1835C42C23×D6711yescharacteristic
1836C42C23×D6711yescharacteristic
1837C23—22no—
1838C23—22no—
1839C23—21no—
1840C23—22no—
1841C23—21no—
1842C23—21no—
1843C23—41no—
1844C23—41no—
1845C23—41no—
1846C23—42no—
1847C23—42no—
1848C23—42no—
1849C23—42no—
1850C23—81no—
1851C23—81no—
1852C23—2682no—
1853C23—2682no—
1854C23—2682no—
1855C23—2682no—
1856C23—5361no—
1857C23—5361no—
1858C23—1341no—
1859C23—1341no—
1860C23—1341no—
1861C23C22×C22⋊D6711yescharacteristic
1862C23C22×C22⋊D6711yescharacteristic
1863C23C22×C22⋊D6711yescharacteristic
1864C23C22×C22⋊D6711yescharacteristic
1865C23C22×C22⋊D6711yescharacteristic
1866Q8—21no—
1867Q8—21no—
1868Q8—21no—
1869Q8—21no—
1870Q8—21no—
1871Q8—42no—
1872Q8—42no—
1873Q8—2682no—
1874Q8—2682no—
1875Q8—672no—
1876Q8—1341no—
1877Q8—1341no—
1878Q8—1341no—
1879Q8—1341no—
1880Q8—1341no—
1881Q8C2×D4×D6712yes—
1882D4—24no—
1883D4—22no—
1884D4—22no—
1885D4—21no—
1886D4—21no—
1887D4—21no—
1888D4—21no—
1889D4—21no—
1890D4—41no—
1891D4—41no—
1892D4—42no—
1893D4—42no—
1894D4—42no—
1895D4—42no—
1896D4—42no—
1897D4—42no—
1898D4—42no—
1899D4—42no—
1900D4—42no—
1901D4—42no—
1902D4—42no—
1903D4—81no—
1904D4—81no—
1905D4—81no—
1906D4—2682no—
1907D4—2682no—
1908D4—2682no—
1909D4—2682no—
1910D4—2682no—
1911D4—2682no—
1912D4—2682no—
1913D4—2682no—
1914D4—2682no—
1915D4—2682no—
1916D4—2682no—
1917D4—5361no—
1918D4—5361no—
1919D4—5361no—
1920D4—672no—
1921D4—1344no—
1922D4—1341no—
1923D4—1341no—
1924D4—1341no—
1925D4—1341no—
1926D4—1341no—
1927D4C2×D4×D6712yes—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—21no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—24no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—21no—
1942C2×C4—21no—
1943C2×C4—21no—
1944C2×C4—21no—
1945C2×C4—21no—
1946C2×C4—21no—
1947C2×C4—21no—
1948C2×C4—41no—
1949C2×C4—41no—
1950C2×C4—42no—
1951C2×C4—42no—
1952C2×C4—42no—
1953C2×C4—42no—
1954C2×C4—42no—
1955C2×C4—42no—
1956C2×C4—42no—
1957C2×C4—42no—
1958C2×C4—42no—
1959C2×C4—81no—
1960C2×C4—2682no—
1961C2×C4—2682no—
1962C2×C4—2682no—
1963C2×C4—2682no—
1964C2×C4—2682no—
1965C2×C4—2682no—
1966C2×C4—2682no—
1967C2×C4—2682no—
1968C2×C4—2682no—
1969C2×C4—5361no—
1970C2×C4—1341no—
1971C2×C4—1341no—
1972C2×C4—1341no—
1973C2×C4—1341no—
1974C2×C4—1341no—
1975C2×C4—1344no—
1976C2×C4C2×D4×D6712yes—
1977C2×C4C22×C22⋊D6711yescharacteristic
1978C2×C4C22×C22⋊D6711yescharacteristic
1979C2×C4C22×C22⋊D6711yescharacteristic
1980C2×C4C22×C22⋊D6711yescharacteristic
1981C2×C4C22×C22⋊D6711yescharacteristic
1982C2×C4C22×C22⋊D6711yescharacteristic
1983C2×C4C22×C22⋊D6711yescharacteristic
1984C2×C4C22×C22⋊D6711yescharacteristic
1985C2×C4C22×C22⋊D6711yescharacteristic
1986C2×C4#1452408812yes—
1987C2×C4C24×D6711yescharacteristic
1988C8—672no—
1989C8—672no—
1990C8—1341no—
1991C8—1341no—
1992C8—1341no—
1993C8—1341no—
1994C8—1341no—
1995C8—1341no—
1996C22—21no—
1997C22—21no—
1998C22—21no—
1999C22—21no—
2000C22—21no—
2001C22—21no—
2002C22—21no—
2003C22—22no—
2004C22—21no—
2005C22—21no—
2006C22—21no—
2007C22—21no—
2008C22—21no—
2009C22—21no—
2010C22—44no—
2011C22—41no—
2012C22—41no—
2013C22—41no—
2014C22—41no—
2015C22—41no—
2016C22—41no—
2017C22—41no—
2018C22—41no—
2019C22—82no—
2020C22—84no—
2021C22—84no—
2022C22—2681no—
2023C22—2681no—
2024C22—2681no—
2025C22—2681no—
2026C22—2681no—
2027C22—2681no—
2028C22—2681no—
2029C22—2681no—
2030C22—5364no—
2031C22—5364no—
2032C22—1342no—
2033C22D4×C22⋊D6712yes—
2034C22#1686419412yescomplemented
2035C22C23×C22⋊D6711yescharacteristic
2036C4—21no—
2037C4—21no—
2038C4—21no—
2039C4—21no—
2040C4—22no—
2041C4—21no—
2042C4—21no—
2043C4—21no—
2044C4—21no—
2045C4—41no—
2046C4—41no—
2047C4—41no—
2048C4—41no—
2049C4—2681no—
2050C4—2681no—
2051C4—2681no—
2052C4—2681no—
2053C4—1342no—
2054C4D4×C22⋊D6712yes—
2055C4C22×D4×D6711yescharacteristic
2056C4C2×#1452408811yescharacteristic
2057C2—22no—
2058C2—22no—
2059C2—41no—
2060C2—41no—
2061C2—41no—
2062C2—42no—
2063C2—81no—
2064C2—81no—
2065C2—2682no—
2066C2—5361no—
2067C2—5361no—
2068C2C2×D4×C22⋊D6711yescharacteristic
2069C2C2×#1686419411yescharacteristic
2070C2#2257498011yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingD4×#41×C67C2
socleC22×C67C23×D4
hypercenterD4×#41D67
hypocenterC67#61030
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. C2×#16864194C2semidirect
2. C22×#14524063C2semidirect
3. D4×#11761628C2semidirect
4. #22571795C2semidirect
5. #22571790C2semidirect
6. #22571780C2semidirect
7. #22571775C2semidirect
8. #22571765C2semidirect
9. #22571760C2semidirect
10. #22571750C2semidirect
11. #22571745C2semidirect
12. #22571735C2semidirect
13. #22571730C2semidirect
14. #22571720C2semidirect
15. #22571715C2semidirect
16. #22571705C2semidirect
17. #22571700C2semidirect
18. #22571690C2semidirect
19. #22571685C2semidirect
20. #22570654C2semidirect
21. #22569815C2semidirect
22. #22569787C2semidirect
23. #22569664C2semidirect
24. #22569658C2semidirect
25. #22569427C2semidirect
26. #22569427C2semidirect
27. #22569425C2semidirect
28. #22569425C2semidirect
29. #22569007C2semidirect
30. C2×#16863468C2semidirect
31. D4×#41×C67C2semidirect
32. C22×#11761628C22semidirect
33. C22×#11761628C22semidirect
35. C2×#14524074C22semidirect
36. C2×#14524074C22semidirect
37. C2×#14524073C22semidirect
38. C2×#14524073C22semidirect
39. C2×#14524069C22semidirect
40. C2×#14524069C22semidirect
41. C2×#14524068C22semidirect
42. C2×#14524068C22semidirect
45. C2×#14524063C22semidirect
46. C2×#14524063C22semidirect
47. C2×#14524063C22semidirect
48. C2×#14524063C22semidirect
49. C2×#14524063C22semidirect
50. C2×#14524063C22semidirect
51. C2×#14524063C22semidirect
52. C2×#14524063C22semidirect
53. C2×#14524063C22semidirect
54. C2×#14524063C22semidirect
55. C2×#14524063C22semidirect
56. C2×#14524063C22semidirect
57. C22×#11761618C22semidirect
58. C22×#11761616C22semidirect
59. C22×#11761615C22semidirect
60. C22×#11761613C22semidirect
61. C22×#11761612C22semidirect
62. C23×C67⋊C8C22semidirect
63. #16864067C22semidirect
64. D4×Dic134C22semidirect
66. #16864055C22semidirect
67. #16864051C22semidirect
70. #16864042C22semidirect
73. D4×D268C22semidirect
75. #16863946C22semidirect
77. #16863907C22semidirect
78. #16863907C22semidirect
81. C4×#11761628C22semidirect
83. #16863791C22semidirect
84. #16863791C22semidirect
85. #16863788C22semidirect
86. #16863788C22semidirect
87. #16863786C22semidirect
88. #16863786C22semidirect
89. #16863783C22semidirect
90. #16863783C22semidirect
91. #16863652C22semidirect
92. #16863652C22semidirect
93. #16863647C22semidirect
94. #16863647C22semidirect
95. #16863644C22semidirect
96. #16863644C22semidirect
97. #16863640C22semidirect
98. #16863640C22semidirect
99. #16863635C22semidirect
100. #16863635C22semidirect
101. #16863630C22semidirect
102. #16863630C22semidirect
103. #16863627C22semidirect
104. #16863627C22semidirect
105. #16863623C22semidirect
106. #16863623C22semidirect
107. #16863618C22semidirect
108. #16863618C22semidirect
109. #16863615C22semidirect
110. #16863615C22semidirect
111. #16863611C22semidirect
112. #16863611C22semidirect
113. #16863608C22semidirect
114. #16863608C22semidirect
115. #16863606C22semidirect
116. #16863603C22semidirect
117. #16863601C22semidirect
118. #16863598C22semidirect
119. #16863596C22semidirect
120. #16863593C22semidirect
121. #16863591C22semidirect
122. #16863588C22semidirect
123. #16863558C22semidirect
124. #16863558C22semidirect
125. #16863558C22semidirect
126. #16863558C22semidirect
127. #16863556C22semidirect
128. #16863556C22semidirect
129. #16863556C22semidirect
130. #16863556C22semidirect
131. #16863552C22semidirect
132. #16863552C22semidirect
133. #16863551C22semidirect
134. #16863551C22semidirect
135. #16863547C22semidirect
136. #16863547C22semidirect
137. #16863546C22semidirect
138. #16863546C22semidirect
139. #16863541C22semidirect
140. #16863541C22semidirect
141. #16863541C22semidirect
142. #16863541C22semidirect
143. #16863539C22semidirect
144. #16863539C22semidirect
145. #16863539C22semidirect
146. #16863539C22semidirect
147. #16863535C22semidirect
148. #16863535C22semidirect
149. #16863534C22semidirect
150. #16863534C22semidirect
151. #16863530C22semidirect
152. #16863530C22semidirect
153. #16863529C22semidirect
154. #16863529C22semidirect
155. #16863506C22semidirect
156. #16863506C22semidirect
157. #16863501C22semidirect
158. #16863501C22semidirect
159. #16863496C22semidirect
160. #16863496C22semidirect
161. #16863494C22semidirect
162. #16863494C22semidirect
163. #16863468C22semidirect
164. #16863468C22semidirect
165. #16863468C22semidirect
166. #16863468C22semidirect
167. #16863468C22semidirect
168. #16863468C22semidirect
169. #16863468C22semidirect
170. #16863468C22semidirect
171. #16863432C22semidirect
172. C2×C4⋊(C67⋊C8)C22semidirect
173. #16863392C22semidirect
174. #16863392C22semidirect
175. #16863392C22semidirect
176. #16863390C22semidirect
177. #16863390C22semidirect
178. #16863390C22semidirect
179. C2×C22⋊(C67⋊C8)C22semidirect
180. C2×C22⋊(C67⋊C8)C22semidirect
181. C2×#14523954C22semidirect
182. C22×#41×C67C22semidirect
183. C22×#41×C67C22semidirect
184. #550×C67C22semidirect
185. D4×Q8×C67C22semidirect
187. #548×C67C22semidirect
189. #547×C67C22semidirect
193. #546×C67C22semidirect
195. D42×C67C22semidirect
197. #532×C67C22semidirect
200. #525×C67C22semidirect
201. #525×C67C22semidirect
202. C4×#41×C67C22semidirect
249. #14524063D4semidirect
534. #11761628C2×D4semidirect
590. #11761618C2×D4semidirect
599. #11761616C2×D4semidirect
608. #11761615C2×D4semidirect
617. #11761613C2×D4semidirect
629. C2×C67⋊C8C2×D4semidirect
687. #41×C67C2×D4semidirect
987. C22×C67#575semidirect
1039. D4×#41D67semidirect
1067. C67#61030semidirect
1070. C22×#41C2×D67semidirect
1071. C22×#41C2×D67semidirect
1102. #550C2×D67semidirect
1104. D4×Q8C2×D67semidirect
1108. #548C2×D67semidirect
1112. #547C2×D67semidirect
1120. #546C2×D67semidirect
1124. D42C2×D67semidirect
1128. #532C2×D67semidirect
1135. #525C2×D67semidirect
1136. #525C2×D67semidirect
1138. C4×#41C2×D67semidirect
1592. #41D4×D67semidirect
2034. C22#16864194semidirect

Maximal subgroups

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

subgroupindex
C2×#168641942
C22×#145240632
D4×#117616282
#225717952
#225717902
#225717802
#225717752
#225717652
#225717602
#225717502
#225717452
#225717352
#225717302
#225717202
#225717152
#225717052
#225717002
#225716902
#225716852
#225706542
#225698152
#225697872
#225696642
#225696582
#225694272
#225694252
#225690072
C2×#168634682
D4×#41×C672
#6103067