Finite Group Databasebeta

← #33961057

Subgroups — #33961057

Order 18688.

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×#17989383C211yesmaximal, characteristic, complemented
2C2×#135×D73C211yesmaximal, characteristic, complemented
3#22623418C211yesmaximal, characteristic, complemented
4#22623415C211yesmaximal, characteristic, complemented
5#22621521C211yesmaximal, characteristic, complemented
6#22621513C211yesmaximal, characteristic, complemented
7#22621508C211yesmaximal, characteristic, complemented
8#22621500C211yesmaximal, characteristic, complemented
9#22621490C211yesmaximal, characteristic, complemented
10#22621482C211yesmaximal, characteristic, complemented
11#22621475C211yesmaximal, characteristic, complemented
12#22621467C211yesmaximal, characteristic, complemented
13#22621456C211yesmaximal, characteristic, complemented
14#22621447C211yesmaximal, characteristic, complemented
15#22621439C211yesmaximal, characteristic, complemented
16#22621432C211yesmaximal, characteristic, complemented
17#22621424C211yesmaximal, characteristic, complemented
18#22621413C211yesmaximal, characteristic, complemented
19#22621405C211yesmaximal, characteristic, complemented
20#22620375C211yesmaximal, characteristic, complemented
21#22619542C211yesmaximal, characteristic, complemented
22#22619507C211yesmaximal, characteristic, complemented
23#22619387C211yesmaximal, characteristic, complemented
24#22619383C211yesmaximal, characteristic, complemented
25#22619152C211yesmaximal, characteristic, complemented
26#22619152C211yesmaximal, characteristic, complemented
27#22619150C211yesmaximal, characteristic, complemented
28#22619146C211yesmaximal, characteristic, complemented
29#22618728C211yesmaximal, characteristic, complemented
30#435×D73C211yesmaximal, characteristic, complemented
31C73×#3267C211yesmaximal, characteristic, complemented
32C22×#11924027C2211yescharacteristic, complemented
33C2×#41×D73C2211yescharacteristic, complemented
34C2×#41×D73C2211yescharacteristic, complemented
35C2×#41×D73C2211yescharacteristic, complemented
36#17989383—28no—
37C2×#14556624C2211yescharacteristic, complemented
38C2×#14556621C2211yescharacteristic, complemented
39C2×#14556620C2211yescharacteristic, complemented
40C2×#14556620C2211yescharacteristic, complemented
41C2×#14556617C2211yescharacteristic, complemented
42C2×#14556615C2211yescharacteristic, complemented
43C2×#14556615C2211yescharacteristic, complemented
44C2×#14556614C2211yescharacteristic, complemented
45C2×#14556614C2211yescharacteristic, complemented
46C2×#14556613C2211yescharacteristic, complemented
47C2×#14556612C2211yescharacteristic, complemented
48C2×#14556612C2211yescharacteristic, complemented
49C2×#14556612C2211yescharacteristic, complemented
50C2×#14556612C2211yescharacteristic, complemented
51C2×#14556612C2211yescharacteristic, complemented
52C2×#14556611C2211yescharacteristic, complemented
53C2×#14556611C2211yescharacteristic, complemented
54C2×#14556610C2211yescharacteristic
55C2×#14556610C2211yescharacteristic, complemented
56#135×D73—28no—
57C2×Q16×D73C2211yescharacteristic, complemented
58C2×SD16×D73C2211yescharacteristic, complemented
59C2×SD16×D73C2211yescharacteristic, complemented
60C2×D8×D73C2211yescharacteristic, complemented
61C2×M16×D73C2211yescharacteristic, complemented
62C22×C8×D73C2211yescharacteristic, complemented
63#17989258C2211yescharacteristic, complemented
64#17989255C2211yescharacteristic, complemented
65#17989252C2211yescharacteristic, complemented
66#17989250C2211yescharacteristic, complemented
67#17989247C2211yescharacteristic
68#17989247C2211yescharacteristic, complemented
69#17989246C2211yescharacteristic, complemented
70#17989245C2211yescharacteristic
71#17989238—21no—
72#17989236C2211yescharacteristic, complemented
73#17989235—21no—
74#17989232C2211yescharacteristic
75#17989229—21no—
76#17989229—21no—
77#17989227—21no—
78#17989226—21no—
79#17989225C2211yescharacteristic
80#17989225C2211yescharacteristic, complemented
81D4×D292C2211yescharacteristic, complemented
82#17989221—21no—
83D4×C22⋊D73C2211yescharacteristic, complemented
84#17989219—21no—
85#17989138C2211yescharacteristic, complemented
86#17989136C2211yescharacteristic, complemented
87#17989132—21no—
88#17989132—21no—
89#17989100C2211yescharacteristic, complemented
90#17989100C2211yescharacteristic, complemented
91#17989100C2211yescharacteristic, complemented
92#17989097C2211yescharacteristic, complemented
93#17989095—21no—
94#17989095—21no—
95#17989095—21no—
96#17989093—21no—
97C4×#11924027C2211yescharacteristic, complemented
98C4×#11924027C2211yescharacteristic, complemented
99C2×#14556553—21no—
100C2×#14556551—21no—
101C4×D4×D73C2211yescharacteristic
102#17988980C2211yescharacteristic, complemented
103#17988980C2211yescharacteristic, complemented
104#17988979C2211yescharacteristic, complemented
105#17988977C2211yescharacteristic, complemented
106#17988976C2211yescharacteristic, complemented
107#17988973C2211yescharacteristic, complemented
108#17988973C2211yescharacteristic, complemented
109#17988842C2211yescharacteristic, complemented
110#17988841C2211yescharacteristic, complemented
111#17988840C2211yescharacteristic, complemented
112#17988836C2211yescharacteristic, complemented
113#17988836C2211yescharacteristic, complemented
114#17988835C2211yescharacteristic, complemented
115#17988835C2211yescharacteristic, complemented
116#17988827C2211yescharacteristic, complemented
117#17988826C2211yescharacteristic, complemented
118#17988822C2211yescharacteristic, complemented
119#17988821C2211yescharacteristic, complemented
120#17988817C2211yescharacteristic, complemented
121#17988816C2211yescharacteristic, complemented
122#17988813C2211yescharacteristic, complemented
123#17988812C2211yescharacteristic, complemented
124#17988812C2211yescharacteristic, complemented
125#17988810C2211yescharacteristic, complemented
126#17988806C2211yescharacteristic, complemented
127#17988804C2211yescharacteristic, complemented
128#17988804C2211yescharacteristic, complemented
129#17988802C2211yescharacteristic, complemented
130#17988796C2211yescharacteristic, complemented
131#17988794C2211yescharacteristic, complemented
132#17988790C2211yescharacteristic, complemented
133#17988788C2211yescharacteristic, complemented
134#17988786C2211yescharacteristic, complemented
135#17988782C2211yescharacteristic, complemented
136#17988780C2211yescharacteristic, complemented
137#17988751C2211yescharacteristic, complemented
138#17988749C2211yescharacteristic, complemented
139#17988747C2211yescharacteristic, complemented
140#17988747C2211yescharacteristic, complemented
141#17988746C2211yescharacteristic, complemented
142#17988746C2211yescharacteristic, complemented
143#17988744C2211yescharacteristic, complemented
144#17988742C2211yescharacteristic, complemented
145#17988741C2211yescharacteristic, complemented
146#17988741C2211yescharacteristic, complemented
147#17988739C2211yescharacteristic, complemented
148#17988736C2211yescharacteristic, complemented
149#17988736C2211yescharacteristic, complemented
150#17988734C2211yescharacteristic, complemented
151#17988734C2211yescharacteristic, complemented
152#17988733C2211yescharacteristic, complemented
153#17988733C2211yescharacteristic, complemented
154#17988732C2211yescharacteristic, complemented
155#17988732C2211yescharacteristic, complemented
156#17988730C2211yescharacteristic, complemented
157#17988728C2211yescharacteristic, complemented
158#17988727C2211yescharacteristic, complemented
159#17988727C2211yescharacteristic, complemented
160#17988724C2211yescharacteristic, complemented
161#17988722C2211yescharacteristic, complemented
162#17988722C2211yescharacteristic, complemented
163#17988721C2211yescharacteristic, complemented
164#17988719C2211yescharacteristic, complemented
165#17988699C2211yescharacteristic, complemented
166#17988695C2211yescharacteristic, complemented
167#17988693C2211yescharacteristic, complemented
168#17988687C2211yescharacteristic, complemented
169#17988687C2211yescharacteristic, complemented
170#17988684C2211yescharacteristic, complemented
171#17988684C2211yescharacteristic, complemented
172#17988661C2211yescharacteristic, complemented
173#17988660C2211yescharacteristic, complemented
174#17988659C2211yescharacteristic, complemented
175#17988658C2211yescharacteristic, complemented
176#17988657C2211yescharacteristic, complemented
177#17988656C2211yescharacteristic, complemented
178#17988655C2211yescharacteristic, complemented
179#17988622C2211yescharacteristic, complemented
180C4⋊C8×D73C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183#17988582C2211yescharacteristic, complemented
184#17988580C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186#17988580C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188C22⋊C8×D73C2211yescharacteristic, complemented
189#97×D73C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
191C2×#135×C73C2211yescharacteristic, complemented
192#547×C73C2211yescharacteristic, complemented
193#546×C73C2211yescharacteristic, complemented
194#497×C73C2211yescharacteristic, complemented
195#470×C73C2211yescharacteristic, complemented
196#465×C73C2211yescharacteristic, complemented
197#463×C73C2211yescharacteristic, complemented
198#461×C73C2211yescharacteristic, complemented
199#452×C73C2211yescharacteristic, complemented
200#452×C73C2211yescharacteristic, complemented
201#450×C73C2211yescharacteristic, complemented
202#449×C73C2211yescharacteristic, complemented
203#442×C73C2211yescharacteristic, complemented
204#435×C73C2211yescharacteristic, complemented
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028—21no—
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924027—21no—
215C2×#11924027—21no—
216C2×#11924027—21no—
217C2×#11924027—24no—
218C2×#11924027—21no—
219C2×#11924027—21no—
220C2×#11924027—42no—
221C2×#11924027C2311yescharacteristic
222C2×#11924027C2311yescharacteristic
223C2×#11924027C2311yescharacteristic
224C2×#11924027C2311yescharacteristic
225C2×#11924027C2311yescharacteristic
226#41×D73—24no—
227#41×D73—24no—
228#41×D73—24no—
229#41×D73—42no—
230#41×D73—42no—
231#41×D73—42no—
232C22×Dic146C2311yescharacteristic
233C2×Q8×D73C2311yescharacteristic
234C2×Q8×D73C2311yescharacteristic
235C2×Q8×D73C2311yescharacteristic
236C22×D292—21no—
237C22×C22⋊D73—21no—
238C22×C22⋊D73—21no—
239C2×D4×D73—21no—
240C2×D4×D73—21no—
241C2×D4×D73—21no—
242C2×D4×D73D411yescharacteristic
243C2×D4×D73C2311yescharacteristic
244C2×D4×D73C2311yescharacteristic
245C2×D4×D73C2311yescharacteristic
246C23×Dic73—21no—
247C22×C4×D73—21no—
248C22×C4×D73—21no—
249C22×C4×D73—21no—
250C22×C4×D73C2311yescharacteristic
251C22×C4×D73C2311yescharacteristic
252#14556624—24no—
253#14556621—24no—
254#14556620—24no—
255#14556620—24no—
256#14556617—24no—
257#14556615—24no—
258#14556615—24no—
259#14556614—24no—
260#14556614—42no—
261#14556613—24no—
262#14556612—24no—
263#14556612—24no—
264#14556612—24no—
265#14556612—24no—
266#14556612—42no—
267#14556611—24no—
268#14556611—24no—
269#14556610—24no—
270#14556610D418yescomplemented
271C2×Dic292C2311yescharacteristic
272C2×Dic292C2311yescharacteristic
273C2×#11924018C2311yescharacteristic
274C2×#11924018C2311yescharacteristic
275C2×#11924018C2311yescharacteristic
276C2×#11924018C2311yescharacteristic
277C2×#11924018C2311yescharacteristic
278Q16×D73—24no—
279C2×#11924017C2311yescharacteristic
280C2×#11924017C2311yescharacteristic
281C2×#11924017C2311yescharacteristic
282C2×#11924017C2311yescharacteristic
283C2×#11924017C2311yescharacteristic
284C2×#11924016C2311yescharacteristic
285C2×#11924016C2311yescharacteristic
286C2×#11924016C2311yescharacteristic
287C2×#11924016C2311yescharacteristic
288C2×#11924015C2311yescharacteristic
289C2×#11924015C2311yescharacteristic
290C2×#11924015C2311yescharacteristic
291C2×#11924015C2311yescharacteristic
292SD16×D73—24no—
293SD16×D73—24no—
294C2×D584C2311yescharacteristic
295C2×D584C2311yescharacteristic
296C2×#11924013C2311yescharacteristic
297C2×#11924013C2311yescharacteristic
298C2×#11924013C2311yescharacteristic
299C2×#11924013C2311yescharacteristic
300C2×#11924013C2311yescharacteristic
301D8×D73—24no—
302C2×#11924012C2311yescharacteristic
303C2×#11924011C2311yescharacteristic
304C2×#11924011C2311yescharacteristic
305M16×D73—24no—
306C22×#10596831C2311yescharacteristic
307C2×C8×D73—24no—
308C2×C8×D73C2311yescharacteristic
309C2×C8×D73C2311yescharacteristic
310C2×C8×D73C2311yescharacteristic
311C2×C8×D73C2311yescharacteristic
312C2×C8×D73C2311yescharacteristic
313C2×C8×D73C2311yescharacteristic
314#14556590—21no—
315#14556590—21no—
316#14556589C2311yescharacteristic
317#14556588C2311yescharacteristic
318#14556587—21no—
319#14556587—21no—
320#14556587C2311yescharacteristic
321#14556580C2311yescharacteristic
322#14556580C2311yescharacteristic
323#14556579C2311yescharacteristic
324#14556577—21no—
325#14556577—21no—
326#14556577—21no—
327#14556577—21no—
328#14556576—21no—
329#14556576—21no—
330#14556576—21no—
331#14556575—21no—
332#14556574—21no—
333#14556574—21no—
334#14556574—21no—
335#14556573—21no—
336#14556572—21no—
337#14556571C2311yescharacteristic
338#14556570C2311yescharacteristic
339#14556569—21no—
340#14556569—21no—
341#14556569—21no—
342#14556569—21no—
343#14556569—21no—
344#14556569—21no—
345#14556568—21no—
346#14556568—21no—
347#14556567C2311yescharacteristic
348#14556567C2311yescharacteristic
349#14556567C2311yescharacteristic
350#14556566—21no—
351#14556566—21no—
352#14556566C2311yescharacteristic
353#14556566C2311yescharacteristic
354#14556566C2311yescharacteristic
355#14556565—21no—
356#14556565—21no—
357#14556565C2311yescharacteristic
358#14556565C2311yescharacteristic
359#14556565C2311yescharacteristic
360#14556564—21no—
361#14556564—21no—
362#14556564—21no—
363#14556564—21no—
364#14556564—21no—
365#14556564—21no—
366#14556564—21no—
367#14556564—21no—
368#14556563—21no—
369#14556563—21no—
370#14556563—21no—
371#14556563—21no—
372#14556563—21no—
373#14556563—21no—
374#14556562C2311yescharacteristic
375#14556561—21no—
376#14556561—21no—
377#14556561—21no—
378#14556561—21no—
379#14556561—21no—
380#14556561—21no—
381#14556560—21no—
382#14556559—21no—
383#14556559—21no—
384#14556559—21no—
385#14556559—21no—
386C4×Dic146C2311yescharacteristic
387C4×Dic146C2311yescharacteristic
388#14556556C2311yescharacteristic
389#14556556C2311yescharacteristic
390C4×D292C2311yescharacteristic
391D4×Dic73—21no—
392D4×Dic73D411yescharacteristic
393D4×Dic73C2311yescharacteristic
394D4×Dic73C2311yescharacteristic
395#14556553—21no—
396#14556553—21no—
397#14556553—21no—
398#14556553—21no—
399#14556553—21no—
400#14556553—21no—
401#14556553—21no—
402#14556553—21no—
403#14556553—21no—
404#14556553D411yescharacteristic
405C4×C22⋊D73—21no—
406C4×C22⋊D73—21no—
407C4×C22⋊D73C2311yescharacteristic
408C4×C22⋊D73C2311yescharacteristic
409#14556551—21no—
410#14556551—21no—
411#14556551—21no—
412#14556551—21no—
413#14556551—21no—
414#14556551—21no—
415#14556551—21no—
416#14556551—21no—
417#14556551—21no—
418#14556551—21no—
419#14556551—21no—
420#14556551—21no—
421#14556551D411yescharacteristic
422#14556551D411yescharacteristic
423#14556549C2311yescharacteristic
424#14556549C2311yescharacteristic
425#14556547—21no—
426#14556547—21no—
427C2×#11924007—21no—
428C4⋊C4×D73D411yescharacteristic
429C2×#11924005—21no—
430C2×#11924005—21no—
431C2×#11924005—21no—
432C22⋊C4×D73D411yescharacteristic
433C22⋊C4×D73D411yescharacteristic
434C2×C4×Dic73—21no—
435C2×C4×Dic73—21no—
436C42×D73C2311yescharacteristic
437#14556524C2311yescharacteristic
438#14556524C2311yescharacteristic
439#14556523C2311yescharacteristic
440C4⋊#10596831C2311yescharacteristic
441#14556520C2311yescharacteristic
442#14556520C2311yescharacteristic
443#14556516C2311yescharacteristic
444#14556516C2311yescharacteristic
445#14556516C2311yescharacteristic
446#14556515C2311yescharacteristic
447#14556515C2311yescharacteristic
448#14556515C2311yescharacteristic
449#14556514C2311yescharacteristic
450#14556514C2311yescharacteristic
451#14556514C2311yescharacteristic
452#14556513C2311yescharacteristic
453#14556513C2311yescharacteristic
454#14556513C2311yescharacteristic
455#14556512C2311yescharacteristic
456#14556512C2311yescharacteristic
457#14556512C2311yescharacteristic
458#14556511C2311yescharacteristic
459#14556511C2311yescharacteristic
460#14556511C2311yescharacteristic
461C22⋊#10596831C2311yescharacteristic
462C22⋊#10596831C2311yescharacteristic
463#14556503C2311yescharacteristic
464#14556503C2311yescharacteristic
465#14556503C2311yescharacteristic
466#14556503C2311yescharacteristic
467#14556502C2311yescharacteristic
468#14556501C2311yescharacteristic
469#14556501C2311yescharacteristic
470C2×#41×C73C2311yescharacteristic
471C2×#41×C73C2311yescharacteristic
472C2×#41×C73C2311yescharacteristic
473C22×D4×C73C2311yescharacteristic
474AGL(1,ℤ/8)×C73—24no—
475#135×C73—24no—
476C2×Q16×C73C2311yescharacteristic
477C2×Q16×C73C2311yescharacteristic
478C2×SD16×C73C2311yescharacteristic
479C2×SD16×C73C2311yescharacteristic
480C2×SD16×C73C2311yescharacteristic
481C2×SD16×C73C2311yescharacteristic
482C2×SD16×C73C2311yescharacteristic
483C2×D8×C73C2311yescharacteristic
484C2×D8×C73C2311yescharacteristic
485C2×M16×C73C2311yescharacteristic
486C22×C8×C73C2311yescharacteristic
487C4⋊Q8×C73C2311yescharacteristic
488#124×C73C2311yescharacteristic
489#123×C73—21no—
490#123×C73—21no—
491#123×C73—21no—
492C22⋊Q8×C73C2311yescharacteristic
493C22⋊Q8×C73C2311yescharacteristic
494C22⋊Q8×C73C2311yescharacteristic
495#121×C73—21no—
496#121×C73—21no—
497#121×C73C2311yescharacteristic
498#120×C73—21no—
499C4×D4×C73C2311yescharacteristic
500C4×D4×C73C2311yescharacteristic
501C4×D4×C73C2311yescharacteristic
502C2×C4⋊C4×C73—21no—
503C2×C22⋊C4×C73—21no—
504#106×C73C2311yescharacteristic
505C4⋊C8×C73C2311yescharacteristic
506#103×C73C2311yescharacteristic
507#103×C73C2311yescharacteristic
508#103×C73C2311yescharacteristic
509#102×C73C2311yescharacteristic
510#102×C73C2311yescharacteristic
511#102×C73C2311yescharacteristic
512C22⋊C8×C73C2311yescharacteristic
513C22⋊C8×C73C2311yescharacteristic
514#97×C73C2311yescharacteristic
515C23×D73—21no—
516C23×D73—21no—
517C23×D73—21no—
518C23×D73C2×D411yescharacteristic
519C23×D73C2×D411yescharacteristic
520#11924029—22no—
521#11924029—22no—
522#11924029—22no—
523#11924029—22no—
524#11924029—22no—
525#11924029—22no—
526#11924028—22no—
527#11924028—22no—
528#11924028—22no—
529#11924028—41no—
530#11924028—41no—
531#11924028—41no—
532#11924028—44no—
533#11924028—44no—
534#11924028—44no—
535#11924027—22no—
536#11924027—22no—
537#11924027—22no—
538#11924027—22no—
539#11924027—22no—
540#11924027—22no—
541#11924027—41no—
542#11924027—41no—
543#11924027—44no—
544#11924027—44no—
545#11924027—44no—
546#11924027—44no—
547#11924027—44no—
548#11924027C2×D414yescomplemented
549#11924027C2×D414yescomplemented
550C2×Dic146—22no—
551C2×Dic146—21no—
552C2×Dic146—21no—
553C2×Dic146—21no—
554C2×Dic146—21no—
555C2×Dic146—41no—
556C2×Dic146C2411yescharacteristic
557C2×Dic146C2411yescharacteristic
558C2×Dic146C2411yescharacteristic
559Q8×D73—22no—
560Q8×D73—22no—
561Q8×D73—22no—
562Q8×D73—41no—
563Q8×D73—41no—
564Q8×D73—41no—
565C2×D292—21no—
566C2×D292—21no—
567C2×D292—21no—
568C2×D292—21no—
569C2×D292—21no—
570C2×D292—21no—
571C2×D292—21no—
572C2×D292—21no—
573C2×D292—44no—
574C2×D292C2×D411yescharacteristic
575C2×D292C2411yescharacteristic
576C2×D292C2411yescharacteristic
577C2×D292C2411yescharacteristic
578C2×C22⋊D73—21no—
579C2×C22⋊D73—21no—
580C2×C22⋊D73—21no—
581C2×C22⋊D73—21no—
582C2×C22⋊D73—21no—
583C2×C22⋊D73—21no—
584C2×C22⋊D73—21no—
585C2×C22⋊D73—21no—
586C2×C22⋊D73—21no—
587C2×C22⋊D73—21no—
588C2×C22⋊D73—21no—
589C2×C22⋊D73—21no—
590C2×C22⋊D73—21no—
591C2×C22⋊D73—21no—
592C2×C22⋊D73—21no—
593C2×C22⋊D73—21no—
594C2×C22⋊D73—21no—
595C2×C22⋊D73—44no—
596C2×C22⋊D73—44no—
597C2×C22⋊D73C2×D411yescharacteristic
598C2×C22⋊D73C2×D411yescharacteristic
599D4×D73—22no—
600D4×D73—22no—
601D4×D73—22no—
602D4×D73—41no—
603D4×D73—41no—
604D4×D73—41no—
605D4×D73—42no—
606D4×D73—44no—
607D4×D73—44no—
608D4×D73—44no—
609C22×Dic73—21no—
610C22×Dic73—21no—
611C22×Dic73—21no—
612C22×Dic73—21no—
613C22×Dic73—21no—
614C22×Dic73—21no—
615C22×Dic73—21no—
616C22×Dic73—21no—
617C22×Dic73—44no—
618C22×Dic73C2×D411yescharacteristic
619C22×Dic73C2×D411yescharacteristic
620C2×C4×D73—22no—
621C2×C4×D73—22no—
622C2×C4×D73—22no—
623C2×C4×D73—22no—
624C2×C4×D73—21no—
625C2×C4×D73—21no—
626C2×C4×D73—21no—
627C2×C4×D73—21no—
628C2×C4×D73—21no—
629C2×C4×D73—21no—
630C2×C4×D73—21no—
631C2×C4×D73—21no—
632C2×C4×D73—21no—
633C2×C4×D73—44no—
634C2×C4×D73—44no—
635C2×C4×D73—44no—
636C2×C4×D73C2×D411yescharacteristic
637C2×C4×D73C2×D411yescharacteristic
638C2×C4×D73C2×D411yescharacteristic
639C2×C4×D73C2×D411yescharacteristic
640C2×C4×D73C2×D411yescharacteristic
641C2×C4×D73C2×D411yescharacteristic
642C2×C4×D73C2411yescharacteristic
643C2×C4×D73C2411yescharacteristic
644C2×C4×D73C2411yescharacteristic
645Dic292—22no—
646Dic292C2×D414yescomplemented
647#11924018—22no—
648#11924018—22no—
649#11924018—22no—
650#11924018—22no—
651#11924018—41no—
652#11924017—22no—
653#11924017—22no—
654#11924017—22no—
655#11924017—22no—
656#11924017—41no—
657#11924016—22no—
658#11924016—22no—
659#11924016C2×D414yescomplemented
660#11924016C2×D414yescomplemented
661#11924015—22no—
662#11924015—22no—
663#11924015—41no—
664#11924015—41no—
665D584—22no—
666D584—41no—
667#11924013—22no—
668#11924013—22no—
669#11924013—22no—
670#11924013—22no—
671#11924013—41no—
672#11924012—22no—
673#11924011—22no—
674#11924011—22no—
675C2×#10596831—22no—
676C2×#10596831C2411yescharacteristic
677C2×#10596831C2411yescharacteristic
678C2×#10596831C2411yescharacteristic
679C2×#10596831C2411yescharacteristic
680C8×D73—22no—
681C8×D73—22no—
682C8×D73—22no—
683C8×D73—22no—
684C8×D73—22no—
685C8×D73C2×D414yescomplemented
686C4⋊Dic73—21no—
687C4⋊Dic73C2×D411yescharacteristic
688C4⋊Dic73C2411yescharacteristic
689C4⋊Dic73C2411yescharacteristic
690#11924007—21no—
691#11924007—21no—
692#11924007—21no—
693#11924007—21no—
694#11924007—21no—
695#11924007—21no—
696#11924007—21no—
697#11924007—21no—
698#11924007—21no—
699#11924007—21no—
700#11924007C2×D411yescharacteristic
701#11924007C2×D411yescharacteristic
702C22⋊Dic73—21no—
703C22⋊Dic73—21no—
704C22⋊Dic73—21no—
705C22⋊Dic73—21no—
706C22⋊Dic73C2×D411yescharacteristic
707C22⋊Dic73C2×D411yescharacteristic
708#11924005—21no—
709#11924005—21no—
710#11924005—21no—
711#11924005—21no—
712#11924005—21no—
713#11924005—21no—
714#11924005—21no—
715#11924005—21no—
716#11924005—21no—
717#11924005—21no—
718#11924005—21no—
719#11924005—21no—
720#11924005—21no—
721#11924005—21no—
722#11924005—21no—
723#11924005—21no—
724#11924005—21no—
725#11924005—21no—
726#11924005C2×D411yescharacteristic
727#11924005C2×D411yescharacteristic
728#11924005C2×D411yescharacteristic
729#11924005C2×D411yescharacteristic
730C4×Dic73—21no—
731C4×Dic73—21no—
732C4×Dic73—21no—
733C4×Dic73—21no—
734C4×Dic73—21no—
735C4×Dic73—21no—
736C4×Dic73C2×D411yescharacteristic
737C4×Dic73C2×D411yescharacteristic
738C4×Dic73C2411yescharacteristic
739C24×C73—21no—
740#41×C73—22no—
741#41×C73—22no—
742#41×C73—22no—
743#41×C73—41no—
744#41×C73—41no—
745#41×C73—41no—
746C2×Q8×C73C2411yescharacteristic
747C2×Q8×C73C2411yescharacteristic
748C2×Q8×C73C2411yescharacteristic
749C2×D4×C73—22no—
750C2×D4×C73—21no—
751C2×D4×C73—21no—
752C2×D4×C73—21no—
753C2×D4×C73—21no—
754C2×D4×C73—21no—
755C2×D4×C73—41no—
756C2×D4×C73C2×D411yescharacteristic
757C2×D4×C73C2411yescharacteristic
758C2×D4×C73C2411yescharacteristic
759C2×D4×C73C2411yescharacteristic
760C22×C4×C73—21no—
761C22×C4×C73—21no—
762C22×C4×C73—21no—
763C22×C4×C73—21no—
764C22×C4×C73—21no—
765C22×C4×C73C2411yescharacteristic
766C22×C4×C73C2411yescharacteristic
767Q16×C73—22no—
768Q16×C73—41no—
769SD16×C73—22no—
770SD16×C73—22no—
771SD16×C73—22no—
772SD16×C73—22no—
773SD16×C73—41no—
774D8×C73—22no—
775D8×C73C2×D414yescomplemented
776M16×C73—22no—
777C2×C8×C73—22no—
778C2×C8×C73C2411yescharacteristic
779C2×C8×C73C2411yescharacteristic
780C2×C8×C73C2411yescharacteristic
781C2×C8×C73C2411yescharacteristic
782C4⋊C4×C73—21no—
783C4⋊C4×C73—21no—
784C4⋊C4×C73—21no—
785C4⋊C4×C73—21no—
786C4⋊C4×C73—21no—
787C4⋊C4×C73C2×D411yescharacteristic
788C4⋊C4×C73C2411yescharacteristic
789C4⋊C4×C73C2411yescharacteristic
790C22⋊C4×C73—21no—
791C22⋊C4×C73—21no—
792C22⋊C4×C73—21no—
793C22⋊C4×C73—21no—
794C22⋊C4×C73—21no—
795C22⋊C4×C73—21no—
796C22⋊C4×C73—21no—
797C22⋊C4×C73—21no—
798C22⋊C4×C73C2×D411yescharacteristic
799C22⋊C4×C73C2×D411yescharacteristic
800C42×C73C2411yescharacteristic
801C23×C73—21no—
802C23×C73—21no—
803C23×C73—21no—
804C23×C73—42no—
805C23×C73—42no—
806C23×C73—81no—
807C23×C73C22×D411yescharacteristic
808C23×C73C22×D411yescharacteristic
809C22×D73—22no—
810C22×D73—22no—
811C22×D73—22no—
812C22×D73—21no—
813C22×D73—21no—
814C22×D73—21no—
815C22×D73—41no—
816C22×D73—41no—
817C22×D73—41no—
818C22×D73—42no—
819C22×D73—42no—
820C22×D73—42no—
821C22×D73—42no—
822C22×D73—42no—
823C22×D73—42no—
824C22×D73—81no—
825C22×D73—81no—
826C22×D73—81no—
827C22×D73C22×D411yescharacteristic
828C22×D73C22×D411yescharacteristic
829C22×D73C22×D411yescharacteristic
830Q8×C73—21no—
831Q8×C73—21no—
832Q8×C73—21no—
833Q8×C73—21no—
834Q8×C73—21no—
835Q8×C73—21no—
836D4×C73—21no—
837D4×C73—21no—
838D4×C73—21no—
839D4×C73—21no—
840D4×C73—41no—
841D4×C73—42no—
842D4×C73—42no—
843D4×C73—42no—
844D4×C73—42no—
845D4×C73—81no—
846D4×C73C22×D412yes—
847D4×C73C22×D412yes—
848C2×C4×C73—21no—
849C2×C4×C73—21no—
850C2×C4×C73—21no—
851C2×C4×C73—21no—
852C2×C4×C73—21no—
853C2×C4×C73—21no—
854C2×C4×C73—21no—
855C2×C4×C73—21no—
856C2×C4×C73—21no—
857C2×C4×C73—42no—
858C2×C4×C73—42no—
859C2×C4×C73—42no—
860C2×C4×C73—42no—
861C2×C4×C73—81no—
862C2×C4×C73C22×D411yescharacteristic
863C2×C4×C73C22×D411yescharacteristic
864C2×C4×C73C22×D411yescharacteristic
865C2×C4×C73C22×D411yescharacteristic
866C2×C4×C73C2511yescharacteristic
867C22⋊D73—24no—
868C22⋊D73—24no—
869C22⋊D73—22no—
870C22⋊D73—41no—
871C22⋊D73—42no—
872C22⋊D73—42no—
873C22⋊D73—42no—
874C22⋊D73—42no—
875C22⋊D73—42no—
876C22⋊D73—42no—
877C22⋊D73—42no—
878C22⋊D73—42no—
879C22⋊D73—42no—
880C22⋊D73—42no—
881C22⋊D73—42no—
882C22⋊D73—42no—
883C22⋊D73—81no—
884C22⋊D73—81no—
885C22⋊D73—81no—
886C2×Dic73—21no—
887C2×Dic73—21no—
888C2×Dic73—22no—
889C2×Dic73—22no—
890C2×Dic73—24no—
891C2×Dic73—24no—
892C2×Dic73—21no—
893C2×Dic73—21no—
894C2×Dic73—21no—
895C2×Dic73—42no—
896C2×Dic73—42no—
897C2×Dic73—42no—
898C2×Dic73—42no—
899C2×Dic73—42no—
900C2×Dic73—81no—
901C2×Dic73C22×D411yescharacteristic
902C2×Dic73C22×D411yescharacteristic
903C2×Dic73C22×D411yescharacteristic
904C2×Dic73C22×D411yescharacteristic
905C2×Dic73C22×D411yescharacteristic
906D292—22no—
907D292—21no—
908D292—21no—
909D292—21no—
910D292—21no—
911D292—21no—
912D292—21no—
913D292—42no—
914D292—42no—
915D292—42no—
916D292—42no—
917D292—42no—
918D292—42no—
919D292—81no—
920D292—81no—
921C4×D73—22no—
922C4×D73—22no—
923C4×D73—21no—
924C4×D73—21no—
925C4×D73—21no—
926C4×D73—21no—
927C4×D73—22no—
928C4×D73—22no—
929C4×D73—41no—
930C4×D73—41no—
931C4×D73—42no—
932C4×D73—42no—
933C4×D73—42no—
934C4×D73—42no—
935C4×D73—42no—
936C4×D73—42no—
937C4×D73—42no—
938C4×D73—42no—
939C4×D73—42no—
940C4×D73C22×D412yes—
941C4×D73H(5,𝔽2)12yes—
942Dic146—21no—
943Dic146—21no—
944Dic146—21no—
945Dic146—21no—
946Dic146—42no—
947Dic146—42no—
948Dic146—42no—
949Dic146—42no—
950Dic146C22×D412yes—
951Dic146C22×D412yes—
952C8×C73—21no—
953C8×C73—21no—
954C8×C73—21no—
955C8×C73C22×D412yes—
956#10596831—21no—
957#10596831—21no—
958#10596831—21no—
959#10596831C22×D412yes—
960C22×C73—21no—
961C22×C73—21no—
962C22×C73—21no—
963C22×C73—22no—
964C22×C73—22no—
965C22×C73—21no—
966C22×C73—21no—
967C22×C73—21no—
968C22×C73—41no—
969C22×C73—41no—
970C22×C73—41no—
971C22×C73—41no—
972C22×C73—41no—
973C22×C73—41no—
974C22×C73—41no—
975C22×C73—84no—
976C22×C73C23×D411yescharacteristic
977C2×D73—21no—
978C2×D73—21no—
979C2×D73—21no—
980C2×D73—21no—
981C2×D73—21no—
982C2×D73—21no—
983C2×D73—21no—
984C2×D73—44no—
985C2×D73—41no—
986C2×D73—41no—
987C2×D73—41no—
988C2×D73—41no—
989C2×D73—41no—
990C2×D73—41no—
991C2×D73—41no—
992C2×D73—41no—
993C2×D73—41no—
994C2×D73—82no—
995C2×D73—84no—
996C2×D73—84no—
997C2×D73—84no—
998C2×D73D4212yes—
999C2×D73#57512yescomplemented
1000C4×C73—21no—
1001C4×C73—21no—
1002C4×C73—21no—
1003C4×C73—21no—
1004C4×C73—41no—
1005C4×C73—41no—
1006C4×C73—41no—
1007C4×C73—41no—
1008C4×C73—41no—
1009C4×C73C23×D411yescharacteristic
1010C4×C73C2×H(5,𝔽2)11yescharacteristic
1011Dic73—21no—
1012Dic73—22no—
1013Dic73—22no—
1014Dic73—21no—
1015Dic73—21no—
1016Dic73—21no—
1017Dic73—41no—
1018Dic73—41no—
1019Dic73—41no—
1020Dic73D4212yes—
1021#61030—731nomaximal, Sylow
1022C2×C73—41no—
1023C2×C73—42no—
1024C2×C73—41no—
1025C2×C73—42no—
1026C2×C73—81no—
1027C2×C73C2×D4211yescharacteristic
1028C2×C73C2×#57511yescharacteristic
1029C2×C73#358411yescharacteristic
1030D73—22no—
1031D73—22no—
1032D73—41no—
1033D73—81no—
1034D73—81no—
1035D73—81no—
1036C2×#575—731no—
1037C22×#135—731no—
1038D4×#41—731no—
1039D4×#41—731no—
1040#3271—731no—
1041#3271—731no—
1042#3270—731no—
1043#3270—731no—
1044#3269—731no—
1045#3269—731no—
1046#3268—731no—
1047#3268—731no—
1048#3267—731no—
1049#3267D7311yescharacteristic, complemented
1050#3266—731no—
1051#3266—731no—
1052#3265—731no—
1053#3265—731no—
1054#3264—731no—
1055#3264—731no—
1056#3150—731no—
1057#3054—731no—
1058#3050—731no—
1059#3035—731no—
1060#3035—731no—
1061#3002—731no—
1062#3002—731no—
1063#3002—731no—
1064#3002—731no—
1065#2943—731no—
1066C2×#435—731no—
1067C73#6103011yescharacteristic, complemented, Sylow
1068C22×#41—731no—
1069C22×#41—731no—
1070C22×#41—731no—
1071C22×#41—731no—
1072#575—1468no—
1073C2×#137—731no—
1074C2×#137—731no—
1075C2×#137—731no—
1076C2×#137—731no—
1077C2×AGL(1,ℤ/8)—731no—
1078C2×AGL(1,ℤ/8)—731no—
1079C2×AGL(1,ℤ/8)—731no—
1080C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
1081C2×#135—731no—
1082C2×#135—731no—
1083C2×#135—731no—
1084C2×#135—731no—
1085C2×#135—731no—
1086C2×#135—731no—
1087C2×#135—731no—
1088C2×#135—731no—
1089C2×#135—731no—
1090C2×#135—731no—
1091C2×#135—731no—
1092C2×#135—731no—
1093C2×#135—1468no—
1094C2×#135C2×D7311yescharacteristic, complemented
1095C22×Q16—731no—
1096C22×SD16—731no—
1097C22×SD16—731no—
1098C22×D8—731no—
1099C22×M16—731no—
1100C23×C8—731no—
1101#550—731no—
1102#550—731no—
1103D4×Q8—731no—
1104D4×Q8—731no—
1105#548—731no—
1106#548—731no—
1107#548—731no—
1108#548—731no—
1109#547—731no—
1110#547—1461no—
1111#547—1461no—
1112#547C2×D7311yescharacteristic, complemented
1113#546—731no—
1114#546—731no—
1115#546—731no—
1116#546—1461no—
1117#546—1461no—
1118#546—1461no—
1119#546—1461no—
1120#546C2×D7311yescharacteristic, complemented
1121D42—731no—
1122D42—731no—
1123D42—1461no—
1124D42—1461no—
1125#532—731no—
1126#532—731no—
1127#532—1461no—
1128#532—1461no—
1129#525—731no—
1130#525—731no—
1131#525—731no—
1132#525—731no—
1133#525—1461no—
1134#525—1461no—
1135#525—1461no—
1136#525—1461no—
1137C4×#41—731no—
1138C4×#41—731no—
1139C2×C4×D4—731no—
1140C2×C4×D4—1461no—
1141C2×C4×D4—1461no—
1142#497—731no—
1143#497—731no—
1144#497—731no—
1145#497C2×D7311yescharacteristic, complemented
1146#496—731no—
1147#496—731no—
1148#496—731no—
1149#496—731no—
1150#470—731no—
1151#470C2×D7311yescharacteristic, complemented
1152#469—731no—
1153#469—731no—
1154#468—731no—
1155#468—731no—
1156#468—731no—
1157#468—731no—
1158#467—731no—
1159#467—731no—
1160#466—731no—
1161#466—731no—
1162#465—731no—
1163#465—731no—
1164#465—731no—
1165#465C2×D7311yescharacteristic, complemented
1166#464—731no—
1167#464—731no—
1168#464—731no—
1169#464—731no—
1170#463—731no—
1171#463—731no—
1172#463—731no—
1173#463C2×D7311yescharacteristic, complemented
1174#462—731no—
1175#462—731no—
1176#461—731no—
1177#461C2×D7311yescharacteristic, complemented
1178#460—731no—
1179#460—731no—
1180#459—731no—
1181#459—731no—
1182#452—731no—
1183#452—731no—
1184#452—731no—
1185#452—731no—
1186#452—731no—
1187#452—731no—
1188#452C2×D7311yescharacteristic, complemented
1189#452C2×D7311yescharacteristic, complemented
1190#451—731no—
1191#451—731no—
1192#451—731no—
1193#451—731no—
1194#450—731no—
1195#450—731no—
1196#450—731no—
1197#450C2×D7311yescharacteristic, complemented
1198#449—731no—
1199#449—731no—
1200#449—731no—
1201#449—731no—
1202#449—731no—
1203#449—731no—
1204#449—731no—
1205#449C2×D7311yescharacteristic, complemented
1206#448—731no—
1207#448—731no—
1208#448—731no—
1209#448—731no—
1210#447—731no—
1211#447—731no—
1212#447—731no—
1213#447—731no—
1214#442—731no—
1215#442C2×D7311yescharacteristic, complemented
1216#441—731no—
1217#441—731no—
1218#440—731no—
1219#440—731no—
1220#440—731no—
1221#440—731no—
1222#435—731no—
1223#435—731no—
1224#435—731no—
1225#435—731no—
1226#435—731no—
1227#435—731no—
1228#435—731no—
1229#435C2×D7311yescharacteristic, complemented
1230#427—731no—
1231C2×C4⋊C8—731no—
1232#416—731no—
1233#416—731no—
1234#416—731no—
1235#416—731no—
1236#416—731no—
1237#416—731no—
1238C2×C22⋊C8—731no—
1239C2×C22⋊C8—731no—
1240C2×#97—731no—
1241C2×#41—2922no—
1242C2×#41—2922no—
1243C2×#41—2922no—
1244C2×#41—2922no—
1245C2×#41—731no—
1246C2×#41—731no—
1247C2×#41—731no—
1248C2×#41—731no—
1249C2×#41—731no—
1250C2×#41—731no—
1251C2×#41—731no—
1252C2×#41—731no—
1253C2×#41—731no—
1254C2×#41—731no—
1255C2×#41—731no—
1256C2×#41—1461no—
1257C2×#41—1461no—
1258C2×#41—1461no—
1259C2×#41—1464no—
1260C2×#41—1464no—
1261C2×#41—1464no—
1262C2×#41—1464no—
1263C2×#41—1461no—
1264C2×#41—1461no—
1265C2×#41—1461no—
1266C2×#41—1461no—
1267C2×#41—1461no—
1268C2×#41C22×D7311yescharacteristic
1269C2×#41C22×D7311yescharacteristic
1270C2×#41C22×D7311yescharacteristic
1271C22×Q8—731no—
1272C22×Q8—731no—
1273C22×Q8—731no—
1274C22×Q8—731no—
1275C22×D4—731no—
1276C22×D4—731no—
1277C22×D4—731no—
1278C22×D4—731no—
1279C22×D4—1461no—
1280C22×D4—1461no—
1281C22×D4—1461no—
1282C22×D4—1461no—
1283C22×D4—1461no—
1284C22×D4—1461no—
1285C22×D4C22×D7311yescharacteristic
1286C23×C4—731no—
1287C23×C4—731no—
1288C23×C4—1461no—
1289C23×C4—1461no—
1290C23×C4—1461no—
1291C23×C4—1461no—
1292#137—1464no—
1293#137—1464no—
1294#137—1464no—
1295#137—1464no—
1296AGL(1,ℤ/8)—24no—
1297AGL(1,ℤ/8)—1464no—
1298AGL(1,ℤ/8)—1464no—
1299AGL(1,ℤ/8)—1464no—
1300#135—24no—
1301#135—2922no—
1302#135—2922no—
1303#135—738no—
1304#135—1464no—
1305#135—1464no—
1306#135—1464no—
1307#135—1464no—
1308#135—1464no—
1309#135—1464no—
1310#135—1464no—
1311#135—1464no—
1312#135—1464no—
1313C2×Q16—731no—
1314C2×Q16—731no—
1315C2×Q16—731no—
1316C2×Q16—731no—
1317C2×Q16—731no—
1318C2×Q16—731no—
1319C2×Q16—731no—
1320C2×Q16—1464no—
1321C2×Q16C22×D7311yescharacteristic
1322C2×Q16C22×D7311yescharacteristic
1323C2×SD16—731no—
1324C2×SD16—731no—
1325C2×SD16—731no—
1326C2×SD16—731no—
1327C2×SD16—731no—
1328C2×SD16—731no—
1329C2×SD16—731no—
1330C2×SD16—731no—
1331C2×SD16—731no—
1332C2×SD16—731no—
1333C2×SD16—731no—
1334C2×SD16—731no—
1335C2×SD16—731no—
1336C2×SD16—1464no—
1337C2×SD16—1464no—
1338C2×SD16C22×D7311yescharacteristic
1339C2×SD16C22×D7311yescharacteristic
1340C2×SD16C22×D7311yescharacteristic
1341C2×SD16C22×D7311yescharacteristic
1342C2×SD16C22×D7311yescharacteristic
1343C2×D8—731no—
1344C2×D8—731no—
1345C2×D8—731no—
1346C2×D8—731no—
1347C2×D8—731no—
1348C2×D8—731no—
1349C2×D8—731no—
1350C2×D8—1464no—
1351C2×D8C22×D7311yescharacteristic
1352C2×D8C22×D7311yescharacteristic
1353C2×M16—731no—
1354C2×M16—731no—
1355C2×M16—731no—
1356C2×M16—1464no—
1357C2×M16C22×D7311yescharacteristic
1358C22×C8—731no—
1359C22×C8—731no—
1360C22×C8—731no—
1361C22×C8—731no—
1362C22×C8—731no—
1363C22×C8—731no—
1364C22×C8—731no—
1365C22×C8—1464no—
1366C22×C8C22×D7311yescharacteristic
1367C4⋊Q8—731no—
1368C4⋊Q8—1461no—
1369C4⋊Q8—1461no—
1370C4⋊Q8C22×D7311yescharacteristic
1371#127—731no—
1372#127—731no—
1373#127—1461no—
1374#127—1461no—
1375#124—731no—
1376#124—731no—
1377#124—731no—
1378#124—1461no—
1379#124—1461no—
1380#124—1461no—
1381#124—1461no—
1382#124C22×D7311yescharacteristic
1383#123—21no—
1384#123—21no—
1385#123—21no—
1386#123—1461no—
1387#123—1461no—
1388#123—1461no—
1389#123—1461no—
1390#123—1461no—
1391#123—1461no—
1392#123—1461no—
1393#123—1461no—
1394#123—1461no—
1395C22⋊Q8—731no—
1396C22⋊Q8—731no—
1397C22⋊Q8—731no—
1398C22⋊Q8—731no—
1399C22⋊Q8—731no—
1400C22⋊Q8—1461no—
1401C22⋊Q8—1461no—
1402C22⋊Q8—1461no—
1403C22⋊Q8—1461no—
1404C22⋊Q8—1461no—
1405C22⋊Q8—1461no—
1406C22⋊Q8—1461no—
1407C22⋊Q8—1461no—
1408C22⋊Q8C22×D7311yescharacteristic
1409C22⋊Q8C22×D7311yescharacteristic
1410C22⋊Q8C22×D7311yescharacteristic
1411#121—21no—
1412#121—21no—
1413#121—731no—
1414#121—731no—
1415#121—731no—
1416#121—731no—
1417#121—731no—
1418#121—731no—
1419#121—731no—
1420#121—1461no—
1421#121—1461no—
1422#121—1461no—
1423#121—1461no—
1424#121—1461no—
1425#121—1461no—
1426#121—1461no—
1427#121—1461no—
1428#121—1461no—
1429#121—1461no—
1430#121—1461no—
1431#121—1461no—
1432#121—1461no—
1433#121—1461no—
1434#121—1461no—
1435#121—1461no—
1436#121—1461no—
1437#121—1461no—
1438#121C22×D7311yescharacteristic
1439#120—21no—
1440#120—1461no—
1441#120—1461no—
1442#120—1461no—
1443#120—1461no—
1444#120—1461no—
1445#120—1461no—
1446#120—1461no—
1447#120—1461no—
1448#120—1461no—
1449#120—1461no—
1450#120—1461no—
1451C4×Q8—731no—
1452C4×Q8—731no—
1453C4×Q8—731no—
1454C4×Q8—731no—
1455C4×D4—731no—
1456C4×D4—731no—
1457C4×D4—731no—
1458C4×D4—731no—
1459C4×D4—731no—
1460C4×D4—731no—
1461C4×D4—731no—
1462C4×D4—731no—
1463C4×D4—731no—
1464C4×D4—1461no—
1465C4×D4—1461no—
1466C4×D4—1461no—
1467C4×D4—1461no—
1468C4×D4—1461no—
1469C4×D4—1461no—
1470C4×D4—1461no—
1471C4×D4—1461no—
1472C4×D4—1461no—
1473C4×D4—1461no—
1474C4×D4—1461no—
1475C4×D4—1461no—
1476C4×D4—1461no—
1477C4×D4—1461no—
1478C4×D4—1461no—
1479C4×D4—1461no—
1480C4×D4—1461no—
1481C4×D4—1461no—
1482C4×D4—1461no—
1483C4×D4—1461no—
1484C4×D4—1461no—
1485C4×D4—1461no—
1486C4×D4—1461no—
1487C4×D4—1461no—
1488C4×D4C22×D7311yescharacteristic
1489C4×D4C22×D7311yescharacteristic
1490C4×D4C22×D7311yescharacteristic
1491#117—731no—
1492#117—731no—
1493#117—1461no—
1494#117—1461no—
1495C2×C4⋊C4—21no—
1496C2×C4⋊C4—731no—
1497C2×C4⋊C4—1461no—
1498C2×C22⋊C4—21no—
1499C2×C22⋊C4—731no—
1500C2×C22⋊C4—731no—
1501C2×C22⋊C4—1461no—
1502C2×C22⋊C4—1461no—
1503C2×C22⋊C4—1461no—
1504C2×C42—731no—
1505C2×C42—1461no—
1506C2×C42—1461no—
1507#107—731no—
1508#107—731no—
1509#106—731no—
1510#106C22×D7311yescharacteristic
1511C4⋊C8—731no—
1512C4⋊C8—731no—
1513C4⋊C8—731no—
1514C4⋊C8C22×D7311yescharacteristic
1515#103—731no—
1516#103—731no—
1517#103—731no—
1518#103—731no—
1519#103—731no—
1520#103—731no—
1521#103—731no—
1522#103—731no—
1523#103—731no—
1524#103C22×D7311yescharacteristic
1525#103C22×D7311yescharacteristic
1526#103C22×D7311yescharacteristic
1527#102—731no—
1528#102—731no—
1529#102—731no—
1530#102—731no—
1531#102—731no—
1532#102—731no—
1533#102—731no—
1534#102—731no—
1535#102—731no—
1536#102C22×D7311yescharacteristic
1537#102C22×D7311yescharacteristic
1538#102C22×D7311yescharacteristic
1539C22⋊C8—731no—
1540C22⋊C8—731no—
1541C22⋊C8—731no—
1542C22⋊C8—731no—
1543C22⋊C8—731no—
1544C22⋊C8—731no—
1545C22⋊C8C22×D7311yescharacteristic
1546C22⋊C8C22×D7311yescharacteristic
1547#97—731no—
1548#97—731no—
1549#97—731no—
1550#97C22×D7311yescharacteristic
1551C24—21no—
1552C24—731no—
1553C24—731no—
1554C24—1461no—
1555C24—1461no—
1556C24—1461no—
1557#41—22no—
1558#41—22no—
1559#41—22no—
1560#41—41no—
1561#41—41no—
1562#41—41no—
1563#41—2921no—
1564#41—2921no—
1565#41—2921no—
1566#41—2924no—
1567#41—2924no—
1568#41—2924no—
1569#41—2921no—
1570#41—2921no—
1571#41—2924no—
1572#41—2924no—
1573#41—2924no—
1574#41—2924no—
1575#41—2924no—
1576#41—734no—
1577#41—734no—
1578#41—1462no—
1579#41—1462no—
1580#41—1462no—
1581#41—1462no—
1582#41—1462no—
1583#41—1462no—
1584#41—1462no—
1585#41—1462no—
1586#41—1462no—
1587#41—1462no—
1588#41—1462no—
1589#41—1462no—
1590#41—1462no—
1591#41—1462no—
1592#41—1462no—
1593C2×Q8—2921no—
1594C2×Q8—2921no—
1595C2×Q8—2921no—
1596C2×Q8—2921no—
1597C2×Q8—731no—
1598C2×Q8—731no—
1599C2×Q8—731no—
1600C2×Q8—1462no—
1601C2×Q8—1461no—
1602C2×Q8—1461no—
1603C2×Q8—1461no—
1604C2×Q8—1462no—
1605C2×Q8—1462no—
1606C2×Q8—1462no—
1607C2×Q8—1461no—
1608C2×Q8C23×D7311yescharacteristic
1609C2×Q8C23×D7311yescharacteristic
1610C2×Q8C23×D7311yescharacteristic
1611C2×D4—22no—
1612C2×D4—21no—
1613C2×D4—21no—
1614C2×D4—21no—
1615C2×D4—21no—
1616C2×D4—21no—
1617C2×D4—41no—
1618C2×D4—2924no—
1619C2×D4—2924no—
1620C2×D4—2924no—
1621C2×D4—2924no—
1622C2×D4—2922no—
1623C2×D4—2924no—
1624C2×D4—2924no—
1625C2×D4—2921no—
1626C2×D4—2921no—
1627C2×D4—2921no—
1628C2×D4—731no—
1629C2×D4—731no—
1630C2×D4—731no—
1631C2×D4—731no—
1632C2×D4—731no—
1633C2×D4—731no—
1634C2×D4—1461no—
1635C2×D4—1461no—
1636C2×D4—1461no—
1637C2×D4—1461no—
1638C2×D4—1461no—
1639C2×D4—1461no—
1640C2×D4—1461no—
1641C2×D4—1461no—
1642C2×D4—1461no—
1643C2×D4—1461no—
1644C2×D4—1461no—
1645C2×D4—1461no—
1646C2×D4—1461no—
1647C2×D4—1461no—
1648C2×D4—1461no—
1649C2×D4—1461no—
1650C2×D4—1461no—
1651C2×D4—1461no—
1652C2×D4—1461no—
1653C2×D4—1462no—
1654C2×D4—1462no—
1655C2×D4—1462no—
1656C2×D4—1461no—
1657C2×D4—1461no—
1658C2×D4—1461no—
1659C2×D4—1461no—
1660C2×D4—1461no—
1661C2×D4—1461no—
1662C2×D4D4×D7311yescharacteristic
1663C2×D4C23×D7311yescharacteristic
1664C2×D4C23×D7311yescharacteristic
1665C2×D4C23×D7311yescharacteristic
1666C22×C4—21no—
1667C22×C4—21no—
1668C22×C4—21no—
1669C22×C4—21no—
1670C22×C4—21no—
1671C22×C4—2924no—
1672C22×C4—2924no—
1673C22×C4—2924no—
1674C22×C4—2924no—
1675C22×C4—731no—
1676C22×C4—731no—
1677C22×C4—731no—
1678C22×C4—731no—
1679C22×C4—731no—
1680C22×C4—731no—
1681C22×C4—731no—
1682C22×C4—731no—
1683C22×C4—731no—
1684C22×C4—731no—
1685C22×C4—731no—
1686C22×C4—1461no—
1687C22×C4—1461no—
1688C22×C4—1461no—
1689C22×C4—1461no—
1690C22×C4—1461no—
1691C22×C4—1461no—
1692C22×C4—1462no—
1693C22×C4—1462no—
1694C22×C4—1462no—
1695C22×C4—1462no—
1696C22×C4—1461no—
1697C22×C4—1461no—
1698C22×C4—1461no—
1699C22×C4—1461no—
1700C22×C4—1461no—
1701C22×C4—1461no—
1702C22×C4—1461no—
1703C22×C4—1461no—
1704C22×C4—1461no—
1705C22×C4—1461no—
1706C22×C4—1461no—
1707C22×C4C23×D7311yescharacteristic
1708C22×C4C23×D7311yescharacteristic
1709Q16—22no—
1710Q16—41no—
1711Q16—2921no—
1712Q16—734no—
1713Q16—1462no—
1714Q16—1462no—
1715Q16—1462no—
1716Q16—1462no—
1717Q16—1462no—
1718SD16—22no—
1719SD16—22no—
1720SD16—22no—
1721SD16—22no—
1722SD16—41no—
1723SD16—2921no—
1724SD16—2921no—
1725SD16—2921no—
1726SD16—734no—
1727SD16—734no—
1728SD16—1462no—
1729SD16—1462no—
1730SD16—1462no—
1731SD16—1462no—
1732SD16—1462no—
1733SD16—1462no—
1734SD16—1462no—
1735SD16—1462no—
1736D8—22no—
1737D8—2921no—
1738D8—2921no—
1739D8—1462no—
1740D8—1462no—
1741D8—1462no—
1742D8—1462no—
1743D8—1462no—
1744D8D4×D7314yescomplemented
1745M16—22no—
1746M16—1462no—
1747M16—1462no—
1748M16—1462no—
1749C2×C8—22no—
1750C2×C8—731no—
1751C2×C8—734no—
1752C2×C8—731no—
1753C2×C8—731no—
1754C2×C8—731no—
1755C2×C8—1462no—
1756C2×C8—1462no—
1757C2×C8—1462no—
1758C2×C8—1462no—
1759C2×C8—1462no—
1760C2×C8—1462no—
1761C2×C8C23×D7311yescharacteristic
1762C2×C8C23×D7311yescharacteristic
1763C2×C8C23×D7311yescharacteristic
1764C2×C8C23×D7311yescharacteristic
1765C4⋊C4—21no—
1766C4⋊C4—21no—
1767C4⋊C4—21no—
1768C4⋊C4—21no—
1769C4⋊C4—21no—
1770C4⋊C4—731no—
1771C4⋊C4—731no—
1772C4⋊C4—731no—
1773C4⋊C4—731no—
1774C4⋊C4—731no—
1775C4⋊C4—1461no—
1776C4⋊C4—1461no—
1777C4⋊C4—1461no—
1778C4⋊C4—1461no—
1779C4⋊C4—1461no—
1780C4⋊C4—1461no—
1781C4⋊C4—1461no—
1782C4⋊C4—1461no—
1783C4⋊C4—1461no—
1784C4⋊C4—1461no—
1785C4⋊C4—1461no—
1786C4⋊C4D4×D7311yescharacteristic
1787C4⋊C4C23×D7311yescharacteristic
1788C4⋊C4C23×D7311yescharacteristic
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—731no—
1798C22⋊C4—731no—
1799C22⋊C4—731no—
1800C22⋊C4—731no—
1801C22⋊C4—731no—
1802C22⋊C4—731no—
1803C22⋊C4—1461no—
1804C22⋊C4—1461no—
1805C22⋊C4—1461no—
1806C22⋊C4—1461no—
1807C22⋊C4—1461no—
1808C22⋊C4—1461no—
1809C22⋊C4—1461no—
1810C22⋊C4—1461no—
1811C22⋊C4—1461no—
1812C22⋊C4—1461no—
1813C22⋊C4—1461no—
1814C22⋊C4—1461no—
1815C22⋊C4—1461no—
1816C22⋊C4—1461no—
1817C22⋊C4—1461no—
1818C22⋊C4—1461no—
1819C22⋊C4—1461no—
1820C22⋊C4—1461no—
1821C22⋊C4—1461no—
1822C22⋊C4—1461no—
1823C22⋊C4—1461no—
1824C22⋊C4—1461no—
1825C22⋊C4D4×D7311yescharacteristic
1826C22⋊C4D4×D7311yescharacteristic
1827C42—731no—
1828C42—731no—
1829C42—731no—
1830C42—1461no—
1831C42—1461no—
1832C42—1461no—
1833C42—1461no—
1834C42—1461no—
1835C42—1461no—
1836C42C23×D7311yescharacteristic
1837C23—21no—
1838C23—21no—
1839C23—21no—
1840C23—42no—
1841C23—42no—
1842C23—81no—
1843C23—2921no—
1844C23—2922no—
1845C23—2922no—
1846C23—2922no—
1847C23—2921no—
1848C23—2921no—
1849C23—2922no—
1850C23—2922no—
1851C23—2922no—
1852C23—5841no—
1853C23—5841no—
1854C23—5841no—
1855C23—731no—
1856C23—731no—
1857C23—731no—
1858C23—1462no—
1859C23—1462no—
1860C23—1462no—
1861C23—1461no—
1862C23—1461no—
1863C23—1461no—
1864C23C2×D4×D7311yescharacteristic
1865C23C2×D4×D7311yescharacteristic
1866Q8—21no—
1867Q8—21no—
1868Q8—21no—
1869Q8—21no—
1870Q8—21no—
1871Q8—21no—
1872Q8—2922no—
1873Q8—2922no—
1874Q8—2922no—
1875Q8—2922no—
1876Q8—732no—
1877Q8—732no—
1878Q8—1461no—
1879Q8—1461no—
1880Q8—1461no—
1881Q8—1461no—
1882D4—21no—
1883D4—21no—
1884D4—21no—
1885D4—21no—
1886D4—41no—
1887D4—42no—
1888D4—42no—
1889D4—42no—
1890D4—42no—
1891D4—81no—
1892D4—2922no—
1893D4—2922no—
1894D4—2922no—
1895D4—2922no—
1896D4—2922no—
1897D4—2922no—
1898D4—2922no—
1899D4—2922no—
1900D4—2922no—
1901D4—2922no—
1902D4—2922no—
1903D4—2922no—
1904D4—2922no—
1905D4—2922no—
1906D4—2922no—
1907D4—2922no—
1908D4—2921no—
1909D4—2922no—
1910D4—2922no—
1911D4—5841no—
1912D4—5841no—
1913D4—5841no—
1914D4—5841no—
1915D4—5841no—
1916D4—1462no—
1917D4—1462no—
1918D4—1464no—
1919D4—1464no—
1920D4—1461no—
1921D4—1461no—
1922D4—1461no—
1923D4—1461no—
1924D4—1461no—
1925D4—1461no—
1926D4C2×D4×D7312yes—
1927D4C2×D4×D7312yes—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—42no—
1938C2×C4—42no—
1939C2×C4—42no—
1940C2×C4—42no—
1941C2×C4—81no—
1942C2×C4—2922no—
1943C2×C4—2922no—
1944C2×C4—2922no—
1945C2×C4—2921no—
1946C2×C4—2921no—
1947C2×C4—2922no—
1948C2×C4—2922no—
1949C2×C4—2922no—
1950C2×C4—2922no—
1951C2×C4—2922no—
1952C2×C4—2922no—
1953C2×C4—2922no—
1954C2×C4—2922no—
1955C2×C4—2922no—
1956C2×C4—2922no—
1957C2×C4—2922no—
1958C2×C4—5841no—
1959C2×C4—731no—
1960C2×C4—732no—
1961C2×C4—732no—
1962C2×C4—731no—
1963C2×C4—731no—
1964C2×C4—731no—
1965C2×C4—731no—
1966C2×C4—1462no—
1967C2×C4—1462no—
1968C2×C4—1462no—
1969C2×C4—1462no—
1970C2×C4—1461no—
1971C2×C4—1461no—
1972C2×C4—1461no—
1973C2×C4—1462no—
1974C2×C4—1464no—
1975C2×C4—1464no—
1976C2×C4—1462no—
1977C2×C4—1461no—
1978C2×C4—1461no—
1979C2×C4—1461no—
1980C2×C4—1461no—
1981C2×C4—1461no—
1982C2×C4—1461no—
1983C2×C4C2×D4×D7311yescharacteristic
1984C2×C4C2×D4×D7311yescharacteristic
1985C2×C4C2×D4×D7311yescharacteristic
1986C2×C4C2×D4×D7311yescharacteristic
1987C2×C4C24×D7311yescharacteristic
1988C8—21no—
1989C8—21no—
1990C8—21no—
1991C8—732no—
1992C8—1461no—
1993C8—1461no—
1994C8—1461no—
1995C8C2×D4×D7312yes—
1996C22—21no—
1997C22—21no—
1998C22—22no—
1999C22—22no—
2000C22—21no—
2001C22—21no—
2002C22—21no—
2003C22—21no—
2004C22—41no—
2005C22—41no—
2006C22—41no—
2007C22—41no—
2008C22—41no—
2009C22—41no—
2010C22—41no—
2011C22—84no—
2012C22—2924no—
2013C22—2921no—
2014C22—2921no—
2015C22—2921no—
2016C22—2921no—
2017C22—2921no—
2018C22—2921no—
2019C22—2921no—
2020C22—2921no—
2021C22—2921no—
2022C22—5844no—
2023C22—5842no—
2024C22—5844no—
2025C22—5844no—
2026C22—732no—
2027C22—732no—
2028C22—1461no—
2029C22—1461no—
2030C22—1461no—
2031C22—1461no—
2032C22—1461no—
2033C22—1461no—
2034C22—1461no—
2035C22C22×D4×D7311yescharacteristic
2036C4—21no—
2037C4—21no—
2038C4—21no—
2039C4—21no—
2040C4—41no—
2041C4—41no—
2042C4—41no—
2043C4—41no—
2044C4—41no—
2045C4—2921no—
2046C4—2921no—
2047C4—2921no—
2048C4—732no—
2049C4—1461no—
2050C4—1462no—
2051C4—1462no—
2052C4—1461no—
2053C4—1461no—
2054C4—1461no—
2055C4C22×D4×D7311yescharacteristic
2056C4H(5,𝔽2)×D7311yescharacteristic
2057C2—41no—
2058C2—41no—
2059C2—42no—
2060C2—42no—
2061C2—81no—
2062C2—2921no—
2063C2—5841no—
2064C2—5841no—
2065C2—5841no—
2066C2—1462no—
2067C2—1462no—
2068C2D42×D7311yescharacteristic
2069C2#575×D7311yescharacteristic
2070C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3267C2
socleC22×C73C23×D4
hypercenter#3267D73
hypocenterC73#61030
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. C2×#17989383C2semidirect
2. C2×#135×D73C2semidirect
3. #22623418C2semidirect
4. #22623415C2semidirect
5. #22621521C2semidirect
6. #22621513C2semidirect
7. #22621508C2semidirect
8. #22621500C2semidirect
9. #22621490C2semidirect
10. #22621482C2semidirect
11. #22621475C2semidirect
12. #22621467C2semidirect
13. #22621456C2semidirect
14. #22621447C2semidirect
15. #22621439C2semidirect
16. #22621432C2semidirect
17. #22621424C2semidirect
18. #22621413C2semidirect
19. #22621405C2semidirect
20. #22620375C2semidirect
21. #22619542C2semidirect
22. #22619507C2semidirect
23. #22619387C2semidirect
24. #22619383C2semidirect
25. #22619152C2semidirect
26. #22619152C2semidirect
27. #22619150C2semidirect
28. #22619146C2semidirect
29. #22618728C2semidirect
30. #435×D73C2semidirect
31. C73×#3267C2semidirect
32. C22×#11924027C22semidirect
33. C2×#41×D73C22semidirect
34. C2×#41×D73C22semidirect
35. C2×#41×D73C22semidirect
37. C2×#14556624C22semidirect
38. C2×#14556621C22semidirect
39. C2×#14556620C22semidirect
40. C2×#14556620C22semidirect
41. C2×#14556617C22semidirect
42. C2×#14556615C22semidirect
43. C2×#14556615C22semidirect
44. C2×#14556614C22semidirect
45. C2×#14556614C22semidirect
46. C2×#14556613C22semidirect
47. C2×#14556612C22semidirect
48. C2×#14556612C22semidirect
49. C2×#14556612C22semidirect
50. C2×#14556612C22semidirect
51. C2×#14556612C22semidirect
52. C2×#14556611C22semidirect
53. C2×#14556611C22semidirect
55. C2×#14556610C22semidirect
57. C2×Q16×D73C22semidirect
58. C2×SD16×D73C22semidirect
59. C2×SD16×D73C22semidirect
60. C2×D8×D73C22semidirect
61. C2×M16×D73C22semidirect
62. C22×C8×D73C22semidirect
63. #17989258C22semidirect
64. #17989255C22semidirect
65. #17989252C22semidirect
66. #17989250C22semidirect
68. #17989247C22semidirect
69. #17989246C22semidirect
72. #17989236C22semidirect
80. #17989225C22semidirect
81. D4×D292C22semidirect
83. D4×C22⋊D73C22semidirect
85. #17989138C22semidirect
86. #17989136C22semidirect
89. #17989100C22semidirect
90. #17989100C22semidirect
91. #17989100C22semidirect
92. #17989097C22semidirect
97. C4×#11924027C22semidirect
98. C4×#11924027C22semidirect
102. #17988980C22semidirect
103. #17988980C22semidirect
104. #17988979C22semidirect
105. #17988977C22semidirect
106. #17988976C22semidirect
107. #17988973C22semidirect
108. #17988973C22semidirect
109. #17988842C22semidirect
110. #17988841C22semidirect
111. #17988840C22semidirect
112. #17988836C22semidirect
113. #17988836C22semidirect
114. #17988835C22semidirect
115. #17988835C22semidirect
116. #17988827C22semidirect
117. #17988826C22semidirect
118. #17988822C22semidirect
119. #17988821C22semidirect
120. #17988817C22semidirect
121. #17988816C22semidirect
122. #17988813C22semidirect
123. #17988812C22semidirect
124. #17988812C22semidirect
125. #17988810C22semidirect
126. #17988806C22semidirect
127. #17988804C22semidirect
128. #17988804C22semidirect
129. #17988802C22semidirect
130. #17988796C22semidirect
131. #17988794C22semidirect
132. #17988790C22semidirect
133. #17988788C22semidirect
134. #17988786C22semidirect
135. #17988782C22semidirect
136. #17988780C22semidirect
137. #17988751C22semidirect
138. #17988749C22semidirect
139. #17988747C22semidirect
140. #17988747C22semidirect
141. #17988746C22semidirect
142. #17988746C22semidirect
143. #17988744C22semidirect
144. #17988742C22semidirect
145. #17988741C22semidirect
146. #17988741C22semidirect
147. #17988739C22semidirect
148. #17988736C22semidirect
149. #17988736C22semidirect
150. #17988734C22semidirect
151. #17988734C22semidirect
152. #17988733C22semidirect
153. #17988733C22semidirect
154. #17988732C22semidirect
155. #17988732C22semidirect
156. #17988730C22semidirect
157. #17988728C22semidirect
158. #17988727C22semidirect
159. #17988727C22semidirect
160. #17988724C22semidirect
161. #17988722C22semidirect
162. #17988722C22semidirect
163. #17988721C22semidirect
164. #17988719C22semidirect
165. #17988699C22semidirect
166. #17988695C22semidirect
167. #17988693C22semidirect
168. #17988687C22semidirect
169. #17988687C22semidirect
170. #17988684C22semidirect
171. #17988684C22semidirect
172. #17988661C22semidirect
173. #17988660C22semidirect
174. #17988659C22semidirect
175. #17988658C22semidirect
176. #17988657C22semidirect
177. #17988656C22semidirect
178. #17988655C22semidirect
179. #17988622C22semidirect
180. C4⋊C8×D73C22semidirect
181. #17988582C22semidirect
182. #17988582C22semidirect
183. #17988582C22semidirect
184. #17988580C22semidirect
185. #17988580C22semidirect
186. #17988580C22semidirect
187. C22⋊C8×D73C22semidirect
188. C22⋊C8×D73C22semidirect
189. #97×D73C22semidirect
190. C2×AGL(1,ℤ/8)×C73C22semidirect
191. C2×#135×C73C22semidirect
192. #547×C73C22semidirect
193. #546×C73C22semidirect
194. #497×C73C22semidirect
195. #470×C73C22semidirect
196. #465×C73C22semidirect
197. #463×C73C22semidirect
198. #461×C73C22semidirect
199. #452×C73C22semidirect
200. #452×C73C22semidirect
201. #450×C73C22semidirect
202. #449×C73C22semidirect
203. #442×C73C22semidirect
204. #435×C73C22semidirect
270. #14556610D4semidirect
548. #11924027C2×D4semidirect
549. #11924027C2×D4semidirect
646. Dic292C2×D4semidirect
659. #11924016C2×D4semidirect
660. #11924016C2×D4semidirect
685. C8×D73C2×D4semidirect
775. D8×C73C2×D4semidirect
999. C2×D73#575semidirect
1049. #3267D73semidirect
1067. C73#61030semidirect
1080. C2×AGL(1,ℤ/8)C2×D73semidirect
1094. C2×#135C2×D73semidirect
1112. #547C2×D73semidirect
1120. #546C2×D73semidirect
1145. #497C2×D73semidirect
1151. #470C2×D73semidirect
1165. #465C2×D73semidirect
1173. #463C2×D73semidirect
1177. #461C2×D73semidirect
1188. #452C2×D73semidirect
1189. #452C2×D73semidirect
1197. #450C2×D73semidirect
1205. #449C2×D73semidirect
1215. #442C2×D73semidirect
1229. #435C2×D73semidirect
1744. D8D4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179893832
C2×#135×D732
#226234182
#226234152
#226215212
#226215132
#226215082
#226215002
#226214902
#226214822
#226214752
#226214672
#226214562
#226214472
#226214392
#226214322
#226214242
#226214132
#226214052
#226203752
#226195422
#226195072
#226193872
#226193832
#226191522
#226191502
#226191462
#226187282
#435×D732
C73×#32672
#6103073