Finite Group Databasebeta

← #33968008

Subgroups — #33968008

Order 18688.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623545C211yesmaximal, characteristic, complemented
2#22623482C211yesmaximal, characteristic, complemented
3#22623010C211yesmaximal, characteristic, complemented
4#22622880C211yesmaximal, characteristic, complemented
5#22622779C211yesmaximal, characteristic, complemented
6#22622754C211yesmaximal, characteristic, complemented
7#22622444C211yesmaximal, characteristic, complemented
8#22622369C211yesmaximal, characteristic, complemented
9#22622293C211yesmaximal, characteristic, complemented
10#22622123C211yesmaximal, characteristic, complemented
11#22622023C211yesmaximal, characteristic, complemented
12#22621988C211yesmaximal, characteristic, complemented
13#22621888C211yesmaximal, characteristic, complemented
14#22621820C211yesmaximal, characteristic, complemented
15#22621634C211yesmaximal, characteristic, complemented
16#22621490C211yesmaximal, characteristic, complemented
17#22621445C211yesmaximal, characteristic, complemented
18#22620659C211yesmaximal, characteristic, complemented
19#22620635C211yesmaximal, characteristic, complemented
20#22620633C211yesmaximal, characteristic, complemented
21#22620101C211yesmaximal, characteristic, complemented
22#22620086C211yesmaximal, characteristic, complemented
23#22620070C211yesmaximal, characteristic, complemented
24#22620058C211yesmaximal, characteristic, complemented
25#22620045C211yesmaximal, characteristic, complemented
26#22620035C211yesmaximal, characteristic, complemented
27#22618939C211yesmaximal, characteristic, complemented
28C4×#14556620C211yesmaximal, characteristic, complemented
29#22618727C211yesmaximal, characteristic, complemented
30C2×#17988684C211yesmaximal, characteristic, complemented
31C73×#3296C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic
33C2×#14556611C2211yescharacteristic
34C22×#11924016C2211yescharacteristic
35#17989314C2211yescharacteristic, complemented
36#17989309C2211yescharacteristic, complemented
37#17989306C2211yescharacteristic
38#17989304—21no—
39#17989301C2211yescharacteristic
40#17989296C2211yescharacteristic
41#17989280—21no—
42#17989279C2211yescharacteristic
43#17989277C2211yescharacteristic
44#17989276C2211yescharacteristic, complemented
45#17989274—21no—
46#17989270—21no—
47#17989269—21no—
48#17989268—21no—
49#17989263—21no—
50#17989250C2211yescharacteristic
51#17989247C2211yescharacteristic, complemented
52#17989246C2211yescharacteristic
53#17989238C2211yescharacteristic
54#17989236C2211yescharacteristic
55#17989235—21no—
56#17989231C2211yescharacteristic
57#17989143—21no—
58#17989139C2211yescharacteristic
59#17989139C2211yescharacteristic, complemented
60#17989123C2211yescharacteristic
61#17989122C2211yescharacteristic, complemented
62#17989120—21no—
63#17989118—21no—
64#17989118C2211yescharacteristic
65#17989116C2211yescharacteristic
66#17989114—21no—
67#17989114—21no—
68#17989093—21no—
69#41×Dic73C2211yescharacteristic
70#17989055—21no—
71#17989055C2211yescharacteristic, complemented
72C4×#11924027C2211yescharacteristic
73C4×#11924027C2211yescharacteristic
74C2×#14556556C2211yescharacteristic
75C4×Q8×D73C2211yescharacteristic, complemented
76C2×D4×Dic73C2211yescharacteristic
77C2×#14556547—21no—
78#17988995C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988986C2211yescharacteristic, complemented
81#17988980C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic
83#17988969C2211yescharacteristic
84#17988954C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic
88#17988942C2211yescharacteristic, complemented
89#17988930C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988925C2211yescharacteristic, complemented
93#17988921C2211yescharacteristic, complemented
94#17988917C2211yescharacteristic
95#17988915C2211yescharacteristic
96#17988913C2211yescharacteristic, complemented
97#17988904C2211yescharacteristic
98#17988901C2211yescharacteristic
99#17988895C2211yescharacteristic, complemented
100#17988894C2211yescharacteristic, complemented
101#17988893C2211yescharacteristic, complemented
102#17988891C2211yescharacteristic, complemented
103#17988886C2211yescharacteristic, complemented
104#17988885C2211yescharacteristic
105#17988885C2211yescharacteristic
106#17988880C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic
108#17988871C2211yescharacteristic, complemented
109#17988871C2211yescharacteristic, complemented
110#17988844C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic
112#17988836C2211yescharacteristic, complemented
113#17988832C2211yescharacteristic
114#17988828C2211yescharacteristic, complemented
115#17988826C2211yescharacteristic
116#17988826C2211yescharacteristic, complemented
117#17988818C2211yescharacteristic
118#17988816C2211yescharacteristic
119#17988814C2211yescharacteristic
120#17988810C2211yescharacteristic, complemented
121#17988808C2211yescharacteristic
122#17988806C2211yescharacteristic
123#17988804C2211yescharacteristic
124#17988804C2211yescharacteristic
125#17988802C2211yescharacteristic
126#17988801C2211yescharacteristic
127#17988796C2211yescharacteristic, complemented
128#17988796C2211yescharacteristic, complemented
129#17988795C2211yescharacteristic, complemented
130#17988790C2211yescharacteristic
131#17988751C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic
133#17988749C2211yescharacteristic
134#17988745C2211yescharacteristic
135#17988742C2211yescharacteristic
136#17988741C2211yescharacteristic, complemented
137#17988733C2211yescharacteristic
138#17988730C2211yescharacteristic
139#17988724C2211yescharacteristic
140#17988721C2211yescharacteristic
141#17988717C2211yescharacteristic, complemented
142#17988714C2211yescharacteristic, complemented
143#17988696C2211yescharacteristic
144#17988696C2211yescharacteristic
145#17988696C2211yescharacteristic
146#17988694C2211yescharacteristic, complemented
147#17988693C2211yescharacteristic, complemented
148#17988693C2211yescharacteristic, complemented
149#17988691C2211yescharacteristic, complemented
150#17988691C2211yescharacteristic, complemented
151#17988691C2211yescharacteristic, complemented
152#17988691C2211yescharacteristic, complemented
153#17988690C2211yescharacteristic, complemented
154#17988690C2211yescharacteristic, complemented
155#17988688C2211yescharacteristic
156#17988688C2211yescharacteristic
157#17988686C2211yescharacteristic, complemented
158#17988684C2211yescharacteristic
159#17988684C2211yescharacteristic
160#17988684C2211yescharacteristic
161#17988684C2211yescharacteristic
162#17988684C2211yescharacteristic
163#17988684C2211yescharacteristic
164#17988684C2211yescharacteristic
165#17988684C2211yescharacteristic
166#17988684C2211yescharacteristic
167C4×Dic292C2211yescharacteristic, complemented
168C4×#11924018C2211yescharacteristic, complemented
169C4×#11924016C2211yescharacteristic
170#17988658C2211yescharacteristic
171#17988658C2211yescharacteristic, complemented
172#17988655C2211yescharacteristic
173#17988655C2211yescharacteristic, complemented
174D4×#10596831C2211yescharacteristic
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic
177#17988641C2211yescharacteristic, complemented
178#17988626C2211yescharacteristic, complemented
179#17988623C2211yescharacteristic, complemented
180C2×#14556524C2211yescharacteristic
181#17988594C2211yescharacteristic, complemented
182#17988585C2211yescharacteristic
183#17988584C2211yescharacteristic, complemented
184C2×#14556516C2211yescharacteristic
185C4×#11924011C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic
187C2×#14556501C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic
191#483×C73C2211yescharacteristic
192#482×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic
194#467×C73C2211yescharacteristic
195#465×C73C2211yescharacteristic
196#464×C73C2211yescharacteristic
197#452×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199C4×SD16×C73C2211yescharacteristic
200C8×D4×C73C2211yescharacteristic
201#416×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924027D411yescharacteristic
206C2×#11924027C2311yescharacteristic
207C22×Dic146C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C23×Dic73—21no—
210#14556620—24no—
211#14556611—24no—
212C2×Dic292C2311yescharacteristic
213C2×Dic292C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924016—24no—
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924011C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C22×#10596831C2311yescharacteristic
229C22×#10596831C2311yescharacteristic
230#14556590—21no—
231#14556590—21no—
232#14556590C2311yescharacteristic
233#14556590C2311yescharacteristic
234#14556589C2311yescharacteristic
235#14556589C2311yescharacteristic
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556585—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556583—21no—
248#14556583C2311yescharacteristic
249#14556582—21no—
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556580C2311yescharacteristic
258#14556579C2311yescharacteristic
259#14556578—21no—
260#14556578C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556576—21no—
265#14556576—21no—
266#14556575—21no—
267#14556575—21no—
268#14556574—21no—
269#14556574—21no—
270#14556573—21no—
271#14556573—21no—
272#14556572—21no—
273#14556572—21no—
274#14556572—21no—
275#14556572—21no—
276#14556571C2311yescharacteristic
277#14556570—21no—
278#14556570C2311yescharacteristic
279#14556570C2311yescharacteristic
280#14556570C2311yescharacteristic
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556567C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556565C2311yescharacteristic
295#14556564—21no—
296#14556563—21no—
297#14556563—21no—
298#14556563—21no—
299#14556563—21no—
300#14556562C2311yescharacteristic
301#14556560—21no—
302Q8×Dic73C2311yescharacteristic
303Q8×Dic73C2311yescharacteristic
304Q8×Dic73C2311yescharacteristic
305C4×Dic146—21no—
306C4×Dic146C2311yescharacteristic
307C4×Dic146C2311yescharacteristic
308C4×Dic146C2311yescharacteristic
309#14556556—21no—
310#14556556—21no—
311#14556556—21no—
312#14556556—21no—
313#14556556—21no—
314#14556556—21no—
315#14556556D411yescharacteristic
316#14556556C2311yescharacteristic
317#14556556C2311yescharacteristic
318#14556556C2311yescharacteristic
319#14556556C2311yescharacteristic
320#14556556C2311yescharacteristic
321#14556556C2311yescharacteristic
322D4×Dic73—21no—
323D4×Dic73—21no—
324D4×Dic73—21no—
325D4×Dic73—21no—
326D4×Dic73—21no—
327D4×Dic73D411yescharacteristic
328D4×Dic73C2311yescharacteristic
329D4×Dic73C2311yescharacteristic
330D4×Dic73C2311yescharacteristic
331D4×Dic73C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333#14556553—21no—
334#14556553—21no—
335#14556553C2311yescharacteristic
336#14556553C2311yescharacteristic
337C4×C22⋊D73—21no—
338C4×C22⋊D73C2311yescharacteristic
339C4×C22⋊D73C2311yescharacteristic
340#14556551—21no—
341#14556551—21no—
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551D411yescharacteristic
348#14556551D411yescharacteristic
349#14556550—21no—
350#14556550C2311yescharacteristic
351#14556549—21no—
352#14556549—21no—
353#14556549D411yescharacteristic
354#14556549C2311yescharacteristic
355#14556548—21no—
356#14556548—21no—
357#14556548—21no—
358#14556547—21no—
359#14556547—21no—
360#14556547—21no—
361#14556547—21no—
362#14556547—21no—
363#14556547—21no—
364#14556547—21no—
365#14556547—21no—
366#14556547—21no—
367#14556547D411yescharacteristic
368#14556547D411yescharacteristic
369C2×C4⋊Dic73C2311yescharacteristic
370C2×#11924007—21no—
371C2×#11924007—21no—
372C2×#11924007—21no—
373C4⋊C4×D73—21no—
374C4⋊C4×D73C2311yescharacteristic
375C2×C22⋊Dic73—21no—
376C2×C22⋊Dic73—21no—
377C2×C4×Dic73—21no—
378C2×C4×Dic73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73C2311yescharacteristic
381C2×C4×Dic73C2311yescharacteristic
382C42×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440C2×Q16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445#126×C73—21no—
446#125×C73—21no—
447#125×C73C2311yescharacteristic
448#124×C73C2311yescharacteristic
449#123×C73—21no—
450#123×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73—21no—
455#121×C73C2311yescharacteristic
456#120×C73—21no—
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460#117×C73—21no—
461#117×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481#11924028—22no—
482#11924028—41no—
483#11924028—44no—
484#11924027—22no—
485#11924027—41no—
486#11924027—42no—
487C2×Dic146—22no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—41no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497Q8×D73—22no—
498Q8×D73—41no—
499C2×D292—21no—
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73C2×D411yescharacteristic
506C2×C22⋊D73C2×D411yescharacteristic
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—44no—
516C22×Dic73C2×D411yescharacteristic
517C22×Dic73C2×D411yescharacteristic
518C22×Dic73C2×D411yescharacteristic
519C22×Dic73C2×D411yescharacteristic
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73C2×D411yescharacteristic
526C2×C4×D73C2×D411yescharacteristic
527C2×C4×D73C2411yescharacteristic
528Dic292—22no—
529Dic292—41no—
530#11924018—22no—
531#11924018—22no—
532#11924018—41no—
533#11924017—41no—
534#11924016—22no—
535#11924016—22no—
536#11924016—22no—
537#11924016#4114yescomplemented
538#11924015—22no—
539#11924013—22no—
540#11924013—41no—
541#11924011—22no—
542#11924011—41no—
543C2×#10596831—22no—
544C2×#10596831—22no—
545C2×#10596831C2411yescharacteristic
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73C2×D411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73C2×D411yescharacteristic
601C22⋊Dic73C2×D411yescharacteristic
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73C2×D411yescharacteristic
629C4×Dic73C2×D411yescharacteristic
630C4×Dic73C2×D411yescharacteristic
631C4×Dic73C2×D411yescharacteristic
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2411yescharacteristic
635C4×Dic73C2411yescharacteristic
636C4×Dic73C2411yescharacteristic
637C24×C73—21no—
638#41×C73—22no—
639#41×C73—41no—
640C2×Q8×C73C2411yescharacteristic
641C2×Q8×C73C2411yescharacteristic
642C2×D4×C73—22no—
643C2×D4×C73—21no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—41no—
647C2×D4×C73C2×D411yescharacteristic
648C2×D4×C73C2411yescharacteristic
649C2×D4×C73C2411yescharacteristic
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73C2411yescharacteristic
654C22×C4×C73C2411yescharacteristic
655Q16×C73—41no—
656SD16×C73—22no—
657SD16×C73—41no—
658C2×C8×C73—41no—
659C2×C8×C73—41no—
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73C2×D411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73C2×D411yescharacteristic
685C22⋊C4×C73C2×D411yescharacteristic
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73—42no—
692C23×C73—42no—
693C23×C73—81no—
694C23×C73C22×D411yescharacteristic
695C23×C73C22×D411yescharacteristic
696C22×D73—21no—
697C22×D73C22×D411yescharacteristic
698Q8×C73—21no—
699Q8×C73—21no—
700Q8×C73—21no—
701Q8×C73—21no—
702D4×C73—22no—
703D4×C73—21no—
704D4×C73—21no—
705D4×C73—21no—
706D4×C73—42no—
707D4×C73—42no—
708D4×C73—81no—
709D4×C73C2×#4112yes—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—42no—
721C2×C4×C73—42no—
722C2×C4×C73—81no—
723C2×C4×C73C22×D411yescharacteristic
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C2511yescharacteristic
728C22⋊D73—22no—
729C22⋊D73—41no—
730C22⋊D73—42no—
731C22⋊D73—42no—
732C22⋊D73—42no—
733C22⋊D73—81no—
734C2×Dic73—22no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—41no—
743C2×Dic73—41no—
744C2×Dic73—41no—
745C2×Dic73—42no—
746C2×Dic73—42no—
747C2×Dic73—42no—
748C2×Dic73—42no—
749C2×Dic73—42no—
750C2×Dic73—42no—
751C2×Dic73—42no—
752C2×Dic73—81no—
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760D292—21no—
761D292—21no—
762D292—42no—
763C4×D73—21no—
764C4×D73—21no—
765C4×D73—41no—
766C4×D73—41no—
767C4×D73—42no—
768C4×D73—42no—
769C4×D73—42no—
770C4×D73—42no—
771C4×D73—42no—
772Dic146—21no—
773Dic146—21no—
774Dic146—21no—
775Dic146—21no—
776Dic146—21no—
777Dic146—41no—
778Dic146—42no—
779Dic146—42no—
780Dic146—42no—
781Dic146—81no—
782Dic146C2×#4112yes—
783C8×C73—21no—
784C8×C73—21no—
785C8×C73—21no—
786C8×C73—21no—
787#10596831—21no—
788#10596831—21no—
789#10596831—21no—
790#10596831C2×#4112yes—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—21no—
794C22×C73—22no—
795C22×C73—21no—
796C22×C73—21no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—84no—
803C22×C73#57512yes—
804C22×C73C23×D411yescharacteristic
805C2×D73—21no—
806C2×D73—21no—
807C2×D73—21no—
808C2×D73—41no—
809C2×D73—41no—
810C2×D73—41no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73C22×#4111yescharacteristic
822C4×C73#58511yescharacteristic
823Dic73—21no—
824Dic73—21no—
825Dic73—21no—
826Dic73—22no—
827Dic73—21no—
828Dic73—21no—
829Dic73—21no—
830Dic73—21no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73—41no—
837#61455—731nomaximal, Sylow
838C2×C73—22no—
839C2×C73—41no—
840C2×C73—42no—
841C2×C73—81no—
842C2×C73D4×#4111yescharacteristic
843C2×C73C2×#57511yescharacteristic
844C2×C73#358611yescharacteristic
845D73—41no—
846D73—81no—
847#3482—731no—
848#3475—731no—
849#3402—731no—
850#3388—731no—
851#3377—731no—
852#3376—731no—
853#3348—731no—
854#3343—731no—
855#3336—731no—
856#3321—731no—
857#3315—731no—
858#3312—731no—
859#3306—731no—
860#3300—731no—
861#3296D7311yescharacteristic, complemented
862#3282—731no—
863#3269—731no—
864#3266—731no—
865#3183—731no—
866#3181—731no—
867#3181—731no—
868#3117—731no—
869#3116—731no—
870#3114—731no—
871#3113—731no—
872#3111—731no—
873#3111—731no—
874#2970—731no—
875C4×#137—731no—
876#2943—731no—
877C2×#440—731no—
878C73#6145511yescharacteristic, complemented, Sylow
879C2×#137—731no—
880C2×#135—731no—
881C22×SD16—731no—
882#557—731no—
883#556—731no—
884#556—731no—
885#556—1461no—
886#555—731no—
887#554—731no—
888#553—1461no—
889#552—731no—
890#552—731no—
891#552—731no—
892#552—1461no—
893#552—1461no—
894#552—1461no—
895#552C2×D7311yescharacteristic
896#551—1461no—
897#551—1461no—
898D4×Q8—731no—
899#548—731no—
900#548—731no—
901#547—731no—
902#547—731no—
903#547—1461no—
904#546—731no—
905#546C2×D7311yescharacteristic
906#533—731no—
907#533—731no—
908#533—1461no—
909#529—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#529—1461no—
914#529—1461no—
915#529—1461no—
916#529—1461no—
917#525—1461no—
918C4×#41—731no—
919C4×#41—731no—
920C4×#41—731no—
921C4×#41—731no—
922C4×#41—1461no—
923C2×C4×Q8—731no—
924C2×C4×Q8—731no—
925C2×C4×D4—731no—
926C2×#117—1461no—
927#501—731no—
928#501—731no—
929#499—731no—
930#497—731no—
931#497—731no—
932#495—731no—
933#491—731no—
934#491—731no—
935#489—731no—
936#489—731no—
937#488—731no—
938#488C2×D7311yescharacteristic
939#485—731no—
940#485—731no—
941#485—731no—
942#485—731no—
943#484—731no—
944#483—731no—
945#483—731no—
946#483C2×D7311yescharacteristic
947#482—731no—
948#482C2×D7311yescharacteristic
949#481—731no—
950#480—731no—
951#479—731no—
952#479—731no—
953#479—731no—
954#479—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478C2×D7311yescharacteristic
959#477—731no—
960#476—731no—
961#475—731no—
962#475—731no—
963#470—731no—
964#469—731no—
965#468—731no—
966#468—731no—
967#467—731no—
968#467—731no—
969#467—731no—
970#467C2×D7311yescharacteristic
971#465—731no—
972#465—731no—
973#465—731no—
974#465C2×D7311yescharacteristic
975#464—731no—
976#464—731no—
977#464—731no—
978#464C2×D7311yescharacteristic
979#463—731no—
980#463—731no—
981#463—731no—
982#463—731no—
983#462—731no—
984#462—731no—
985#462—731no—
986#461—731no—
987#452—731no—
988#452—731no—
989#452—731no—
990#452C2×D7311yescharacteristic
991#451—731no—
992#451—731no—
993#451—731no—
994#450C2×D7311yescharacteristic
995#449—731no—
996#449—731no—
997#448—731no—
998#447—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#441—731no—
1006#441—731no—
1007#441—731no—
1008#441—731no—
1009#441—731no—
1010#441—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025C4×Q16—731no—
1026C4×Q16—731no—
1027C4×SD16—731no—
1028C4×SD16C2×D7311yescharacteristic
1029#435—731no—
1030#435—731no—
1031#435—731no—
1032#435—731no—
1033C8×D4—731no—
1034C8×D4C2×D7311yescharacteristic
1035#432—731no—
1036#432—731no—
1037#432—731no—
1038#428—731no—
1039#427—731no—
1040C2×#107—731no—
1041#419—731no—
1042#417—731no—
1043#416—731no—
1044#416C2×D7311yescharacteristic
1045C2×#103—731no—
1046C2×#102C2×D7311yescharacteristic
1047C4×M16—731no—
1048C2×#97—731no—
1049C2×#97—731no—
1050C2×#41—731no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41—1461no—
1054C2×#41C22×D7311yescharacteristic
1055C22×Q8—731no—
1056C22×Q8—731no—
1057C22×D4C22×D7311yescharacteristic
1058C23×C4—1461no—
1059#137—1464no—
1060#135—1464no—
1061C2×Q16—731no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16—731no—
1066C2×Q16C22×D7311yescharacteristic
1067C2×SD16—731no—
1068C2×SD16—731no—
1069C2×SD16—731no—
1070C2×SD16—731no—
1071C2×SD16—731no—
1072C2×SD16—731no—
1073C2×SD16—1464no—
1074C2×SD16C22×D7311yescharacteristic
1075C2×SD16C22×D7311yescharacteristic
1076C2×D8—731no—
1077C2×D8—731no—
1078C2×M16—731no—
1079C2×M16—731no—
1080C22×C8—731no—
1081C22×C8—731no—
1082C22×C8C22×D7311yescharacteristic
1083C22×C8C22×D7311yescharacteristic
1084C4⋊Q8—731no—
1085C4⋊Q8—731no—
1086C4⋊Q8—731no—
1087C4⋊Q8—731no—
1088C4⋊Q8—1461no—
1089C4⋊Q8—1461no—
1090#126—21no—
1091#126—1461no—
1092#126—1461no—
1093#126—1461no—
1094#126—1461no—
1095#126—1461no—
1096#126—1461no—
1097#126—1461no—
1098#126—1461no—
1099#126—1461no—
1100#126—1461no—
1101#126—1461no—
1102#125—21no—
1103#125—731no—
1104#125—731no—
1105#125—731no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125C22×D7311yescharacteristic
1114#124—731no—
1115#124—731no—
1116#124—731no—
1117#124—1461no—
1118#124—1461no—
1119#124—1461no—
1120#124—1461no—
1121#124C22×D7311yescharacteristic
1122#123—21no—
1123#123—21no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—731no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8C22×D7311yescharacteristic
1154C22⋊Q8C22×D7311yescharacteristic
1155C22⋊Q8C22×D7311yescharacteristic
1156#121—21no—
1157#121—731no—
1158#121—731no—
1159#121—731no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121C22×D7311yescharacteristic
1166#120—21no—
1167#120—1461no—
1168C4×Q8—731no—
1169C4×Q8—731no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—731no—
1179C4×Q8—731no—
1180C4×Q8—731no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8—1461no—
1186C4×Q8—1461no—
1187C4×Q8—1461no—
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4—1461no—
1216C4×D4C22×D7311yescharacteristic
1217C4×D4C22×D7311yescharacteristic
1218#117—21no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—731no—
1223#117—731no—
1224#117—1461no—
1225#117—1461no—
1226#117—1461no—
1227#117—1461no—
1228#117—1461no—
1229#117—1461no—
1230#117—1461no—
1231#117—1461no—
1232#117—1461no—
1233#117—1461no—
1234#117—1461no—
1235#117—1461no—
1236#117—1461no—
1237#117—1461no—
1238#117—1461no—
1239#117C22×D7311yescharacteristic
1240C2×C4⋊C4—731no—
1241C2×C4⋊C4—731no—
1242C2×C4⋊C4—1461no—
1243C2×C4⋊C4—1461no—
1244C2×C4⋊C4—1461no—
1245C2×C4⋊C4—1461no—
1246C2×C4⋊C4C22×D7311yescharacteristic
1247C2×C22⋊C4—21no—
1248C2×C22⋊C4—1461no—
1249C2×C22⋊C4—1461no—
1250C2×C42—731no—
1251C2×C42—731no—
1252C2×C42—731no—
1253C2×C42—1461no—
1254C2×C42—1461no—
1255C2×C42—1461no—
1256C2×C42—1461no—
1257C2×C42—1461no—
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107—731no—
1262#107—731no—
1263#107—731no—
1264#107—731no—
1265#107C22×D7311yescharacteristic
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106—731no—
1272#106C22×D7311yescharacteristic
1273#106C22×D7311yescharacteristic
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8—731no—
1278C4⋊C8—731no—
1279C4⋊C8C22×D7311yescharacteristic
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103C22×D7311yescharacteristic
1297#103C22×D7311yescharacteristic
1298#103C22×D7311yescharacteristic
1299#103C22×D7311yescharacteristic
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102C22×D7311yescharacteristic
1307#102C22×D7311yescharacteristic
1308#102C22×D7311yescharacteristic
1309#102C22×D7311yescharacteristic
1310#102C22×D7311yescharacteristic
1311#102C22×D7311yescharacteristic
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314C22⋊C8—731no—
1315C22⋊C8—731no—
1316C22⋊C8C22×D7311yescharacteristic
1317C22⋊C8C22×D7311yescharacteristic
1318#97—731no—
1319#97—731no—
1320#97—731no—
1321#97—731no—
1322#97—731no—
1323#97—731no—
1324#97—731no—
1325#97—731no—
1326C4×C8—731no—
1327C4×C8C22×D7311yescharacteristic
1328C24—21no—
1329#41—22no—
1330#41—41no—
1331#41—2921no—
1332#41—2924no—
1333#41—2921no—
1334#41—2922no—
1335#41—1462no—
1336#41—1462no—
1337C2×Q8—2921no—
1338C2×Q8—2921no—
1339C2×Q8—731no—
1340C2×Q8—731no—
1341C2×Q8—731no—
1342C2×Q8—731no—
1343C2×Q8—1462no—
1344C2×Q8—1461no—
1345C2×Q8—1461no—
1346C2×Q8—1461no—
1347C2×Q8—1462no—
1348C2×Q8—1461no—
1349C2×Q8C23×D7311yescharacteristic
1350C2×Q8C23×D7311yescharacteristic
1351C2×D4—22no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—41no—
1356C2×D4—731no—
1357C2×D4—731no—
1358C2×D4—731no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4—1461no—
1364C2×D4D4×D7311yescharacteristic
1365C2×D4C23×D7311yescharacteristic
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—2924no—
1371C22×C4—731no—
1372C22×C4—731no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
1377C22×C4—731no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4—1461no—
1385C22×C4—1461no—
1386C22×C4—1461no—
1387C22×C4—1461no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4—1461no—
1391C22×C4C23×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393Q16—41no—
1394Q16—2921no—
1395Q16—2921no—
1396Q16—1462no—
1397Q16—1462no—
1398Q16—1462no—
1399SD16—22no—
1400SD16—41no—
1401SD16—2921no—
1402SD16—734no—
1403SD16—1462no—
1404SD16—1462no—
1405SD16—1462no—
1406SD16—1462no—
1407D8—2921no—
1408D8—1462no—
1409M16—2921no—
1410M16—1462no—
1411C2×C8—41no—
1412C2×C8—41no—
1413C2×C8—731no—
1414C2×C8—731no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—1462no—
1418C2×C8—1462no—
1419C2×C8C23×D7311yescharacteristic
1420C2×C8C23×D7311yescharacteristic
1421C2×C8C23×D7311yescharacteristic
1422C2×C8C23×D7311yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—731no—
1431C4⋊C4—731no—
1432C4⋊C4—731no—
1433C4⋊C4—731no—
1434C4⋊C4—731no—
1435C4⋊C4—731no—
1436C4⋊C4—731no—
1437C4⋊C4—731no—
1438C4⋊C4—731no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4D4×D7311yescharacteristic
1470C4⋊C4C23×D7311yescharacteristic
1471C4⋊C4C23×D7311yescharacteristic
1472C4⋊C4C23×D7311yescharacteristic
1473C4⋊C4C23×D7311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—731no—
1483C22⋊C4—731no—
1484C22⋊C4—731no—
1485C22⋊C4—731no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4D4×D7311yescharacteristic
1510C22⋊C4D4×D7311yescharacteristic
1511C42—21no—
1512C42—21no—
1513C42—731no—
1514C42—731no—
1515C42—731no—
1516C42—731no—
1517C42—731no—
1518C42—731no—
1519C42—731no—
1520C42—731no—
1521C42—731no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42—1461no—
1527C42—1461no—
1528C42—1461no—
1529C42—1461no—
1530C42—1461no—
1531C42—1461no—
1532C42—1461no—
1533C42—1461no—
1534C42—1461no—
1535C42C23×D7311yescharacteristic
1536C23—21no—
1537C23—21no—
1538C23—42no—
1539C23—42no—
1540C23—81no—
1541C23—731no—
1542C23—1461no—
1543C23C2×D4×D7311yescharacteristic
1544C23C2×D4×D7311yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—2922no—
1550Q8—2921no—
1551Q8—2922no—
1552Q8—2922no—
1553Q8—5841no—
1554Q8—732no—
1555Q8—1461no—
1556Q8—1461no—
1557Q8—1461no—
1558Q8—1461no—
1559Q8—1461no—
1560D4—22no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—42no—
1565D4—42no—
1566D4—81no—
1567D4—2922no—
1568D4—2922no—
1569D4—2922no—
1570D4—2922no—
1571D4—2921no—
1572D4—5841no—
1573D4—1462no—
1574D4—1461no—
1575D4—1461no—
1576D4#41×D7312yes—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—42no—
1588C2×C4—42no—
1589C2×C4—81no—
1590C2×C4—2922no—
1591C2×C4—2921no—
1592C2×C4—2921no—
1593C2×C4—2922no—
1594C2×C4—2922no—
1595C2×C4—2922no—
1596C2×C4—2922no—
1597C2×C4—2922no—
1598C2×C4—2922no—
1599C2×C4—2922no—
1600C2×C4—2922no—
1601C2×C4—2922no—
1602C2×C4—2922no—
1603C2×C4—2922no—
1604C2×C4—2921no—
1605C2×C4—2921no—
1606C2×C4—2921no—
1607C2×C4—5841no—
1608C2×C4—731no—
1609C2×C4—731no—
1610C2×C4—731no—
1611C2×C4—731no—
1612C2×C4—731no—
1613C2×C4—731no—
1614C2×C4—731no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4—1461no—
1620C2×C4—1461no—
1621C2×C4—1462no—
1622C2×C4—1461no—
1623C2×C4—1461no—
1624C2×C4—1461no—
1625C2×C4C2×D4×D7311yescharacteristic
1626C2×C4C2×D4×D7311yescharacteristic
1627C2×C4C2×D4×D7311yescharacteristic
1628C2×C4C2×D4×D7311yescharacteristic
1629C2×C4C24×D7311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—732no—
1635C8—1461no—
1636C8—1461no—
1637C8—1461no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—22no—
1643C22—21no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—84no—
1650C22—2921no—
1651C22—2921no—
1652C22—2921no—
1653C22—1461no—
1654C22—1461no—
1655C22—1461no—
1656C22#1798938412yes—
1657C22C22×D4×D7311yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—2921no—
1669C4—2921no—
1670C4—2921no—
1671C4—2921no—
1672C4—2921no—
1673C4—2921no—
1674C4—1461no—
1675C4—1461no—
1676C4—1461no—
1677C4—1462no—
1678C4—1461no—
1679C4—1461no—
1680C4—1461no—
1681C4—1461no—
1682C4C2×#41×D7311yescharacteristic
1683C4#1798942211yescharacteristic
1684C2—22no—
1685C2—41no—
1686C2—42no—
1687C2—81no—
1688C2—2921no—
1689C2—5841no—
1690C2#2262341511yescharacteristic
1691C2C2×#1798938411yescharacteristic
1692C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3296C2
socleC22×C73C23×D4
hypercenter#3296D73
hypocenterC73#61455
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #22623545C2semidirect
2. #22623482C2semidirect
3. #22623010C2semidirect
4. #22622880C2semidirect
5. #22622779C2semidirect
6. #22622754C2semidirect
7. #22622444C2semidirect
8. #22622369C2semidirect
9. #22622293C2semidirect
10. #22622123C2semidirect
11. #22622023C2semidirect
12. #22621988C2semidirect
13. #22621888C2semidirect
14. #22621820C2semidirect
15. #22621634C2semidirect
16. #22621490C2semidirect
17. #22621445C2semidirect
18. #22620659C2semidirect
19. #22620635C2semidirect
20. #22620633C2semidirect
21. #22620101C2semidirect
22. #22620086C2semidirect
23. #22620070C2semidirect
24. #22620058C2semidirect
25. #22620045C2semidirect
26. #22620035C2semidirect
27. #22618939C2semidirect
28. C4×#14556620C2semidirect
29. #22618727C2semidirect
30. C2×#17988684C2semidirect
31. C73×#3296C2semidirect
35. #17989314C22semidirect
36. #17989309C22semidirect
44. #17989276C22semidirect
51. #17989247C22semidirect
59. #17989139C22semidirect
61. #17989122C22semidirect
71. #17989055C22semidirect
75. C4×Q8×D73C22semidirect
78. #17988995C22semidirect
79. #17988994C22semidirect
80. #17988986C22semidirect
81. #17988980C22semidirect
84. #17988954C22semidirect
85. #17988954C22semidirect
86. #17988948C22semidirect
88. #17988942C22semidirect
89. #17988930C22semidirect
90. #17988929C22semidirect
91. #17988928C22semidirect
92. #17988925C22semidirect
93. #17988921C22semidirect
96. #17988913C22semidirect
99. #17988895C22semidirect
100. #17988894C22semidirect
101. #17988893C22semidirect
102. #17988891C22semidirect
103. #17988886C22semidirect
106. #17988880C22semidirect
108. #17988871C22semidirect
109. #17988871C22semidirect
110. #17988844C22semidirect
112. #17988836C22semidirect
114. #17988828C22semidirect
116. #17988826C22semidirect
120. #17988810C22semidirect
127. #17988796C22semidirect
128. #17988796C22semidirect
129. #17988795C22semidirect
131. #17988751C22semidirect
136. #17988741C22semidirect
141. #17988717C22semidirect
142. #17988714C22semidirect
146. #17988694C22semidirect
147. #17988693C22semidirect
148. #17988693C22semidirect
149. #17988691C22semidirect
150. #17988691C22semidirect
151. #17988691C22semidirect
152. #17988691C22semidirect
153. #17988690C22semidirect
154. #17988690C22semidirect
157. #17988686C22semidirect
167. C4×Dic292C22semidirect
168. C4×#11924018C22semidirect
171. #17988658C22semidirect
173. #17988655C22semidirect
175. #17988643C22semidirect
177. #17988641C22semidirect
178. #17988626C22semidirect
179. #17988623C22semidirect
181. #17988594C22semidirect
183. #17988584C22semidirect
185. C4×#11924011C22semidirect
187. C2×#14556501C22semidirect
537. #11924016#41semidirect
861. #3296D73semidirect
878. C73#61455semidirect

Maximal subgroups

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

subgroupindex
#226235452
#226234822
#226230102
#226228802
#226227792
#226227542
#226224442
#226223692
#226222932
#226221232
#226220232
#226219882
#226218882
#226218202
#226216342
#226214902
#226214452
#226206592
#226206352
#226206332
#226201012
#226200862
#226200702
#226200582
#226200452
#226200352
#226189392
C4×#145566202
#226187272
C2×#179886842
C73×#32962
#6145573