Finite Group Databasebeta

← #33968050

Subgroups — #33968050

Order 18688.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623537C211yesmaximal, characteristic, complemented
2#22623528C211yesmaximal, characteristic, complemented
3#22623016C211yesmaximal, characteristic, complemented
4#22622871C211yesmaximal, characteristic, complemented
5#22622698C211yesmaximal, characteristic, complemented
6#22622679C211yesmaximal, characteristic, complemented
7#22622475C211yesmaximal, characteristic, complemented
8#22622422C211yesmaximal, characteristic, complemented
9#22622336C211yesmaximal, characteristic, complemented
10#22622078C211yesmaximal, characteristic, complemented
11#22622048C211yesmaximal, characteristic, complemented
12#22621966C211yesmaximal, characteristic, complemented
13#22621936C211yesmaximal, characteristic, complemented
14#22621839C211yesmaximal, characteristic, complemented
15#22621787C211yesmaximal, characteristic, complemented
16#22621635C211yesmaximal, characteristic, complemented
17#22621470C211yesmaximal, characteristic, complemented
18#22621423C211yesmaximal, characteristic, complemented
19#22620656C211yesmaximal, characteristic, complemented
20#22620627C211yesmaximal, characteristic, complemented
21#22620098C211yesmaximal, characteristic, complemented
22#22620078C211yesmaximal, characteristic, complemented
23#22620067C211yesmaximal, characteristic, complemented
24#22620044C211yesmaximal, characteristic, complemented
25#22620038C211yesmaximal, characteristic, complemented
26#22620018C211yesmaximal, characteristic, complemented
27#22618942C211yesmaximal, characteristic, complemented
28#22618742C211yesmaximal, characteristic, complemented
29#22618726C211yesmaximal, characteristic, complemented
30C2×#17988689C211yesmaximal, characteristic, complemented
31C73×#3180C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556612C2211yescharacteristic
34C22×#11924017C2211yescharacteristic
35#17989323C2211yescharacteristic, complemented
36#17989319—21no—
37#17989319C2211yescharacteristic
38#17989312C2211yescharacteristic, complemented
39#17989311C2211yescharacteristic, complemented
40#17989306—21no—
41#17989295C2211yescharacteristic
42#17989293C2211yescharacteristic
43#17989290C2211yescharacteristic
44#17989289C2211yescharacteristic
45#17989289C2211yescharacteristic
46#17989289C2211yescharacteristic, complemented
47#17989288—21no—
48#17989280—21no—
49#17989280—21no—
50#17989262—21no—
51#17989260—21no—
52#17989257C2211yescharacteristic, complemented
53#17989243C2211yescharacteristic
54#17989243C2211yescharacteristic, complemented
55#17989230C2211yescharacteristic
56#17989229—21no—
57#17989228C2211yescharacteristic
58#17989221C2211yescharacteristic
59#17989134C2211yescharacteristic
60#17989133—21no—
61#17989124C2211yescharacteristic
62#17989119C2211yescharacteristic, complemented
63#17989119C2211yescharacteristic, complemented
64#17989117—21no—
65#17989117—21no—
66#17989115—21no—
67#17989099—21no—
68#17989096—21no—
69#41×Dic73—21no—
70C4×#11924029C2211yescharacteristic
71C4×#11924028C2211yescharacteristic
72C4×#11924027C2211yescharacteristic, complemented
73C4×#11924027C2211yescharacteristic, complemented
74C2×C4×Dic146C2211yescharacteristic, complemented
75C2×C4×D292C2211yescharacteristic
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988975C2211yescharacteristic
81#17988968C2211yescharacteristic, complemented
82#17988950C2211yescharacteristic
83#17988945C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988930C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988920C2211yescharacteristic, complemented
89#17988919C2211yescharacteristic, complemented
90#17988914C2211yescharacteristic
91#17988913C2211yescharacteristic, complemented
92#17988909C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic, complemented
94#17988903C2211yescharacteristic
95#17988903C2211yescharacteristic, complemented
96#17988903C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988896C2211yescharacteristic, complemented
99#17988893C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988891C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic
103#17988886C2211yescharacteristic
104#17988885C2211yescharacteristic, complemented
105#17988885C2211yescharacteristic, complemented
106#17988874C2211yescharacteristic
107#17988874C2211yescharacteristic, complemented
108#17988871C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988844C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic
112#17988834C2211yescharacteristic
113#17988830C2211yescharacteristic, complemented
114#17988822C2211yescharacteristic, complemented
115#17988820C2211yescharacteristic, complemented
116#17988817C2211yescharacteristic, complemented
117#17988815C2211yescharacteristic, complemented
118#17988812C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988806C2211yescharacteristic, complemented
121#17988806C2211yescharacteristic, complemented
122#17988804C2211yescharacteristic, complemented
123#17988801C2211yescharacteristic
124#17988801C2211yescharacteristic
125#17988800C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic
127#17988780C2211yescharacteristic
128#17988779C2211yescharacteristic
129#17988779C2211yescharacteristic, complemented
130#17988752C2211yescharacteristic
131#17988746C2211yescharacteristic, complemented
132#17988742C2211yescharacteristic, complemented
133#17988739C2211yescharacteristic
134#17988733C2211yescharacteristic
135#17988733C2211yescharacteristic, complemented
136#17988731C2211yescharacteristic
137#17988729C2211yescharacteristic, complemented
138#17988725C2211yescharacteristic
139#17988720C2211yescharacteristic
140#17988720C2211yescharacteristic
141#17988719C2211yescharacteristic
142#17988715C2211yescharacteristic, complemented
143#17988715C2211yescharacteristic, complemented
144#17988697C2211yescharacteristic
145#17988697C2211yescharacteristic
146#17988697C2211yescharacteristic, complemented
147#17988697C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic
149#17988692C2211yescharacteristic, complemented
150#17988692C2211yescharacteristic, complemented
151#17988691C2211yescharacteristic, complemented
152#17988689C2211yescharacteristic
153#17988689C2211yescharacteristic
154#17988689C2211yescharacteristic
155#17988689C2211yescharacteristic
156#17988689C2211yescharacteristic, complemented
157#17988689C2211yescharacteristic, complemented
158#17988689C2211yescharacteristic, complemented
159#17988689C2211yescharacteristic, complemented
160#17988688C2211yescharacteristic, complemented
161#17988687C2211yescharacteristic, complemented
162#17988687C2211yescharacteristic, complemented
163#17988686C2211yescharacteristic
164#17988678C2211yescharacteristic, complemented
165#17988674C2211yescharacteristic
166D8×Dic73C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic
168#17988660C2211yescharacteristic, complemented
169#17988660C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic
171#17988658C2211yescharacteristic
172C8×C22⋊D73C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988644C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988626C2211yescharacteristic, complemented
178#17988624C2211yescharacteristic, complemented
179C2×#14556525C2211yescharacteristic, complemented
180#17988590C2211yescharacteristic
181#17988585C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic
183#17988580C2211yescharacteristic, complemented
184C2×#14556516C2211yescharacteristic, complemented
185C2×#14556513C2211yescharacteristic
186#17988539C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#532×C73C2211yescharacteristic, complemented
189#529×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#496×C73C2211yescharacteristic, complemented
192#490×C73C2211yescharacteristic, complemented
193#489×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic
195#466×C73C2211yescharacteristic
196#465×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C2×#97×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028D411yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×Dic146C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213C22×C4×D73—21no—
214#14556615—24no—
215#14556612—24no—
216C2×#11924018C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924017—24no—
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924011C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556590C2311yescharacteristic
234#14556589—21no—
235#14556587—21no—
236#14556587C2311yescharacteristic
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556580—21no—
253#14556580C2311yescharacteristic
254#14556578—21no—
255#14556578C2311yescharacteristic
256#14556578C2311yescharacteristic
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556576—21no—
262#14556576—21no—
263#14556576—21no—
264#14556575—21no—
265#14556575—21no—
266#14556575—21no—
267#14556575—21no—
268#14556573—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556572—21no—
273#14556572—21no—
274#14556571—21no—
275#14556571—21no—
276#14556571C2311yescharacteristic
277#14556571C2311yescharacteristic
278#14556569—21no—
279#14556569—21no—
280#14556568—21no—
281#14556568—21no—
282#14556568—21no—
283#14556567C2311yescharacteristic
284#14556566—21no—
285#14556566—21no—
286#14556566C2311yescharacteristic
287#14556566C2311yescharacteristic
288#14556564—21no—
289#14556564—21no—
290#14556564—21no—
291#14556563—21no—
292#14556563—21no—
293#14556563—21no—
294#14556563—21no—
295#14556563—21no—
296#14556563—21no—
297#14556563—21no—
298#14556562C2311yescharacteristic
299#14556562C2311yescharacteristic
300#14556562C2311yescharacteristic
301#14556561—21no—
302#14556561—21no—
303#14556561—21no—
304#14556559—21no—
305Q8×Dic73—21no—
306Q8×Dic73—21no—
307Q8×Dic73C2311yescharacteristic
308C4×Dic146—21no—
309C4×Dic146—21no—
310C4×Dic146D411yescharacteristic
311C4×Dic146C2311yescharacteristic
312C4×Dic146C2311yescharacteristic
313C4×Dic146C2311yescharacteristic
314C4×Dic146C2311yescharacteristic
315C4×Dic146C2311yescharacteristic
316#14556556C2311yescharacteristic
317#14556556C2311yescharacteristic
318C4×D292—21no—
319C4×D292—21no—
320C4×D292—21no—
321C4×D292—21no—
322C4×D292D411yescharacteristic
323C4×D292C2311yescharacteristic
324C4×D292C2311yescharacteristic
325C4×D292C2311yescharacteristic
326C4×D292C2311yescharacteristic
327C4×D292C2311yescharacteristic
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338#14556553—21no—
339#14556553—21no—
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73D411yescharacteristic
349C4×C22⋊D73D411yescharacteristic
350C4×C22⋊D73C2311yescharacteristic
351C4×C22⋊D73C2311yescharacteristic
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556550—21no—
358#14556550—21no—
359#14556550D411yescharacteristic
360#14556549—21no—
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556549C2311yescharacteristic
364#14556548—21no—
365#14556548D411yescharacteristic
366#14556548D411yescharacteristic
367#14556547—21no—
368#14556547—21no—
369C2×C4⋊Dic73C2311yescharacteristic
370C2×C4⋊Dic73C2311yescharacteristic
371C2×#11924007—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73C2311yescharacteristic
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C2×C4×Dic73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73—21no—
381C42×D73—21no—
382C42×D73C2311yescharacteristic
383C42×D73C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73—21no—
439C2×SD16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#127×C73C2311yescharacteristic
447#126×C73—21no—
448#125×C73C2311yescharacteristic
449#124×C73—21no—
450#124×C73C2311yescharacteristic
451#123×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453#121×C73—21no—
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463#117×C73—21no—
464C2×C42×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—41no—
485#11924028—42no—
486#11924028—82no—
487#11924027—22no—
488#11924027—22no—
489#11924027—41no—
490#11924027—41no—
491C2×Dic146—22no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—41no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×D292—22no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—41no—
504C2×D292C2×D411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73C2×D411yescharacteristic
516C2×C22⋊D73C2×D411yescharacteristic
517D4×D73—22no—
518D4×D73—41no—
519D4×D73—44no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—82no—
537C2×C4×D73—82no—
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2411yescharacteristic
543C2×C4×D73C2411yescharacteristic
544#11924018—22no—
545#11924018—41no—
546#11924017—22no—
547#11924017—22no—
548#11924017—22no—
549#11924017#4114yescomplemented
550#11924016—22no—
551#11924016—41no—
552#11924013—22no—
553#11924013—22no—
554#11924013—41no—
555#11924013—41no—
556#11924011—22no—
557#11924011—41no—
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C2×#10596831C2411yescharacteristic
562C8×D73—22no—
563C8×D73—41no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2×D411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73C2×D411yescharacteristic
605C22⋊Dic73C2×D411yescharacteristic
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642#41×C73—44no—
643C2×Q8×C73—21no—
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73C2411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73C2×D411yescharacteristic
657C22×C4×C73C2×D411yescharacteristic
658C22×C4×C73C2411yescharacteristic
659SD16×C73—22no—
660SD16×C73—41no—
661D8×C73—22no—
662D8×C73—41no—
663C2×C8×C73—22no—
664C2×C8×C73—41no—
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C42×C73—21no—
688C42×C73C2×D411yescharacteristic
689C42×C73C2×D411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73C22×D411yescharacteristic
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—81no—
703C22×D73—81no—
704C22×D73C22×D411yescharacteristic
705C22×D73C22×D411yescharacteristic
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—42no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—42no—
716D4×C73—42no—
717D4×C73—42no—
718D4×C73—42no—
719D4×C73—81no—
720C2×C4×C73—22no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—41no—
729C2×C4×C73—42no—
730C2×C4×C73—42no—
731C2×C4×C73—42no—
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C2511yescharacteristic
738C22⋊D73—22no—
739C22⋊D73—22no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—81no—
745C22⋊D73—81no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—42no—
755C2×Dic73—42no—
756C2×Dic73—42no—
757C2×Dic73—81no—
758C2×Dic73—81no—
759C2×Dic73—81no—
760C2×Dic73—81no—
761C2×Dic73—81no—
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768D292—21no—
769D292—21no—
770D292—21no—
771D292—41no—
772D292—42no—
773D292—42no—
774D292—42no—
775D292—81no—
776D292C2×#4112yes—
777C4×D73—21no—
778C4×D73—21no—
779C4×D73—21no—
780C4×D73—21no—
781C4×D73—41no—
782C4×D73—41no—
783C4×D73—41no—
784C4×D73—41no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793Dic146—21no—
794Dic146—21no—
795Dic146—21no—
796Dic146—41no—
797Dic146—42no—
798Dic146—81no—
799Dic146C2×#4112yes—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—41no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73#57512yes—
820C22×C73C23×D411yescharacteristic
821C2×D73—21no—
822C2×D73—21no—
823C2×D73—21no—
824C2×D73—21no—
825C2×D73—22no—
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—84no—
834C2×D73—84no—
835C4×C73—21no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73C22×#4111yescharacteristic
846C4×C73#58511yescharacteristic
847Dic73—21no—
848Dic73—21no—
849Dic73—22no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859#61456—731nomaximal, Sylow
860C2×C73—22no—
861C2×C73—81no—
862C2×C73—81no—
863C2×C73—81no—
864C2×C73D4×#4111yescharacteristic
865C2×C73C2×#57511yescharacteristic
866C2×C73#358511yescharacteristic
867D73—41no—
868D73—41no—
869D73—42no—
870D73—81no—
871#3481—731no—
872#3480—731no—
873#3403—731no—
874#3388—731no—
875#3371—731no—
876#3370—731no—
877#3350—731no—
878#3346—731no—
879#3339—731no—
880#3318—731no—
881#3316—731no—
882#3311—731no—
883#3309—731no—
884#3301—731no—
885#3297—731no—
886#3282—731no—
887#3268—731no—
888#3265—731no—
889#3183—731no—
890#3180—731no—
891#3180D7311yescharacteristic, complemented
892#3117—731no—
893#3115—731no—
894#3114—731no—
895#3111—731no—
896#3111—731no—
897#3109—731no—
898#2970—731no—
899C4×AGL(1,ℤ/8)—731no—
900#2943—731no—
901C2×#440—731no—
902C73#6145611yescharacteristic, complemented, Sylow
903C2×AGL(1,ℤ/8)—731no—
904C2×#135—731no—
905C22×SD16—731no—
906#559—731no—
907#559—731no—
908#559—1461no—
909#557—731no—
910#556—731no—
911#556—1461no—
912#554—731no—
913#554—731no—
914#553—731no—
915#553—731no—
916#553—731no—
917#553—731no—
918#553—1461no—
919#553—1461no—
920#553—1461no—
921#551—1461no—
922#551—1461no—
923#550—731no—
924#548—731no—
925#548—731no—
926#546—731no—
927#546—731no—
928#546—1461no—
929D42—731no—
930#532—731no—
931#532—1461no—
932#532C2×D7311yescharacteristic, complemented
933#529—731no—
934#529—731no—
935#529—731no—
936#529—1461no—
937#529—1461no—
938#529—1461no—
939#529C2×D7311yescharacteristic
940#525—1461no—
941#525—1461no—
942C4×#41—731no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—1461no—
947C2×C4×Q8—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951#501—731no—
952#501C2×D7311yescharacteristic, complemented
953#499—731no—
954#496—731no—
955#496C2×D7311yescharacteristic, complemented
956#495—731no—
957#490—731no—
958#490C2×D7311yescharacteristic, complemented
959#489—731no—
960#489C2×D7311yescharacteristic, complemented
961#488—731no—
962#488—731no—
963#485—731no—
964#485—731no—
965#484—731no—
966#483—731no—
967#482—731no—
968#482—731no—
969#482—731no—
970#482—731no—
971#481—731no—
972#481—731no—
973#481—731no—
974#480—731no—
975#479—731no—
976#479—731no—
977#479—731no—
978#479—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#476—731no—
984#476—731no—
985#475—731no—
986#474—731no—
987#470—731no—
988#469—731no—
989#468—731no—
990#468—731no—
991#466—731no—
992#466—731no—
993#466C2×D7311yescharacteristic
994#466C2×D7311yescharacteristic
995#465—731no—
996#465—731no—
997#465C2×D7311yescharacteristic, complemented
998#465C2×D7311yescharacteristic, complemented
999#464—731no—
1000#464—731no—
1001#464—731no—
1002#464—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#460—731no—
1008#459—731no—
1009#459—731no—
1010#459—731no—
1011#452—731no—
1012#452—731no—
1013#451—731no—
1014#450—731no—
1015#449—731no—
1016#449—731no—
1017#449—731no—
1018#449—731no—
1019#448—731no—
1020#447—731no—
1021#447—731no—
1022#447—731no—
1023#446—731no—
1024#446—731no—
1025#442—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442C2×D7311yescharacteristic, complemented
1031#442C2×D7311yescharacteristic, complemented
1032#441—731no—
1033#441—731no—
1034#441—731no—
1035#440—731no—
1036#440—731no—
1037#440—731no—
1038#440—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440C2×D7311yescharacteristic, complemented
1048#440C2×D7311yescharacteristic, complemented
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×D8—731no—
1052C4×D8—731no—
1053#435—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057C8×D4—731no—
1058C8×D4—731no—
1059#432—731no—
1060#432—731no—
1061#432—731no—
1062#428—731no—
1063#427—731no—
1064C2×#107—731no—
1065#418—731no—
1066#417—731no—
1067#416—731no—
1068#416—731no—
1069C2×#103—731no—
1070C2×#102—731no—
1071C4×M16—731no—
1072C2×#97—731no—
1073C2×#97C2×D7311yescharacteristic, complemented
1074C2×#41—21no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—731no—
1079C2×#41—1461no—
1080C22×Q8—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086AGL(1,ℤ/8)—1464no—
1087#135—1464no—
1088C2×Q16—731no—
1089C2×Q16—731no—
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—1464no—
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8C22×D7311yescharacteristic
1104C2×D8C22×D7311yescharacteristic
1105C2×M16—731no—
1106C2×M16—731no—
1107C22×C8—731no—
1108C22×C8—731no—
1109C22×C8C22×D7311yescharacteristic
1110C22×C8C22×D7311yescharacteristic
1111C4⋊Q8—731no—
1112C4⋊Q8—1461no—
1113C4⋊Q8C22×D7311yescharacteristic
1114#127—731no—
1115#127—1461no—
1116#127C22×D7311yescharacteristic
1117#126—21no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#126—1461no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125C22×D7311yescharacteristic
1134#124—21no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#124—1461no—
1143#124—1461no—
1144#124C22×D7311yescharacteristic
1145#123—21no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8C22×D7311yescharacteristic
1170#121—21no—
1171#121—731no—
1172#121—731no—
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—1461no—
1177#121—1461no—
1178#121—1461no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121C22×D7311yescharacteristic
1189#121C22×D7311yescharacteristic
1190#121C22×D7311yescharacteristic
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—731no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8C22×D7311yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—731no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4C22×D7311yescharacteristic
1251C4×D4C22×D7311yescharacteristic
1252C4×D4C22×D7311yescharacteristic
1253#117—21no—
1254#117—731no—
1255#117—731no—
1256#117—731no—
1257#117—731no—
1258#117—731no—
1259#117—731no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264#117—1461no—
1265#117—1461no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—731no—
1269C2×C4⋊C4—1461no—
1270C2×C4⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C42—731no—
1276C2×C42—731no—
1277C2×C42—1461no—
1278C2×C42—1461no—
1279C2×C42—1461no—
1280C2×C42—1461no—
1281C2×C42C22×D7311yescharacteristic
1282#107—731no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107C22×D7311yescharacteristic
1289#107C22×D7311yescharacteristic
1290#106—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106C22×D7311yescharacteristic
1297#106C22×D7311yescharacteristic
1298C4⋊C8—731no—
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103—731no—
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102C22×D7311yescharacteristic
1331#102C22×D7311yescharacteristic
1332#102C22×D7311yescharacteristic
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336C22⋊C8—731no—
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342#97—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97C22×D7311yescharacteristic
1347#97C22×D7311yescharacteristic
1348#97C22×D7311yescharacteristic
1349#97C22×D7311yescharacteristic
1350C4×C8—731no—
1351C4×C8—731no—
1352C24—1461no—
1353C24—1461no—
1354#41—44no—
1355#41—2922no—
1356#41—2921no—
1357#41—2921no—
1358#41—2921no—
1359#41—5842no—
1360#41—1462no—
1361#41—1462no—
1362#41—1462no—
1363C2×Q8—21no—
1364C2×Q8—2921no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—731no—
1368C2×Q8—1462no—
1369C2×Q8—1461no—
1370C2×Q8—1461no—
1371C2×Q8C23×D7311yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—2921no—
1378C2×D4—2924no—
1379C2×D4—2921no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—731no—
1383C2×D4—731no—
1384C2×D4—731no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1462no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1462no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4C23×D7311yescharacteristic
1400C2×D4C23×D7311yescharacteristic
1401C2×D4C23×D7311yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—5842no—
1406C22×C4—5842no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4D4×D7311yescharacteristic
1430C22×C4D4×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432Q16—2921no—
1433Q16—1462no—
1434SD16—22no—
1435SD16—41no—
1436SD16—2921no—
1437SD16—734no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441SD16—1462no—
1442D8—22no—
1443D8—41no—
1444D8—2921no—
1445D8—2921no—
1446D8—1462no—
1447D8—1462no—
1448M16—2921no—
1449M16—1462no—
1450C2×C8—22no—
1451C2×C8—41no—
1452C2×C8—2921no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—731no—
1457C2×C8—1462no—
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C2×C8C23×D7311yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
1515C22⋊C4—731no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C42—21no—
1543C42—731no—
1544C42—731no—
1545C42—731no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—1461no—
1550C42—1461no—
1551C42—1461no—
1552C42—1461no—
1553C42—1461no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42D4×D7311yescharacteristic
1560C42D4×D7311yescharacteristic
1561C42C23×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—2922no—
1567C23—2922no—
1568C23—2922no—
1569C23—2922no—
1570C23—5841no—
1571C23—5841no—
1572C23—731no—
1573C23—731no—
1574C23—1461no—
1575C23—1461no—
1576C23C2×D4×D7311yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—42no—
1580Q8—2922no—
1581Q8—2921no—
1582Q8—5841no—
1583Q8—732no—
1584Q8—1461no—
1585Q8—1461no—
1586Q8—1461no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—42no—
1594D4—42no—
1595D4—42no—
1596D4—42no—
1597D4—81no—
1598D4—2922no—
1599D4—2921no—
1600D4—2922no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—2922no—
1605D4—2922no—
1606D4—5841no—
1607D4—5841no—
1608D4—5841no—
1609D4—5841no—
1610D4—5841no—
1611D4—732no—
1612D4—1462no—
1613D4—1462no—
1614D4—1461no—
1615D4—1461no—
1616D4—1461no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—41no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—2922no—
1630C2×C4—2922no—
1631C2×C4—2921no—
1632C2×C4—2921no—
1633C2×C4—2921no—
1634C2×C4—2921no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—5841no—
1641C2×C4—5841no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—731no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—1461no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4C2×D4×D7311yescharacteristic
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C24×D7311yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—1461no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8#41×D7312yes—
1679C22—21no—
1680C22—21no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—5844no—
1696C22—5844no—
1697C22—1461no—
1698C22—1461no—
1699C22—1462no—
1700C22—1461no—
1701C22—1461no—
1702C22—1461no—
1703C22—1461no—
1704C22#1798938312yes—
1705C22C22×D4×D7311yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—2921no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—1461no—
1722C4—1461no—
1723C4—1461no—
1724C4—1462no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4C2×#41×D7311yescharacteristic
1729C4#1798942311yescharacteristic
1730C2—22no—
1731C2—81no—
1732C2—81no—
1733C2—81no—
1734C2—2922no—
1735C2—2921no—
1736C2—2921no—
1737C2—5841no—
1738C2#2262341711yescharacteristic
1739C2C2×#1798938311yescharacteristic
1740C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3180C2
socleC22×C73C23×D4
hypercenter#3180D73
hypocenterC73#61456
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3180

Complements

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

NH ≅ G/Ntype
1. #22623537C2semidirect
2. #22623528C2semidirect
3. #22623016C2semidirect
4. #22622871C2semidirect
5. #22622698C2semidirect
6. #22622679C2semidirect
7. #22622475C2semidirect
8. #22622422C2semidirect
9. #22622336C2semidirect
10. #22622078C2semidirect
11. #22622048C2semidirect
12. #22621966C2semidirect
13. #22621936C2semidirect
14. #22621839C2semidirect
15. #22621787C2semidirect
16. #22621635C2semidirect
17. #22621470C2semidirect
18. #22621423C2semidirect
19. #22620656C2semidirect
20. #22620627C2semidirect
21. #22620098C2semidirect
22. #22620078C2semidirect
23. #22620067C2semidirect
24. #22620044C2semidirect
25. #22620038C2semidirect
26. #22620018C2semidirect
27. #22618942C2semidirect
28. #22618742C2semidirect
29. #22618726C2semidirect
30. C2×#17988689C2semidirect
31. C73×#3180C2semidirect
35. #17989323C22semidirect
38. #17989312C22semidirect
39. #17989311C22semidirect
46. #17989289C22semidirect
52. #17989257C22semidirect
54. #17989243C22semidirect
62. #17989119C22semidirect
63. #17989119C22semidirect
72. C4×#11924027C22semidirect
73. C4×#11924027C22semidirect
74. C2×C4×Dic146C22semidirect
78. #17988994C22semidirect
79. #17988988C22semidirect
81. #17988968C22semidirect
83. #17988945C22semidirect
84. #17988943C22semidirect
85. #17988940C22semidirect
86. #17988930C22semidirect
87. #17988927C22semidirect
88. #17988920C22semidirect
89. #17988919C22semidirect
91. #17988913C22semidirect
92. #17988909C22semidirect
93. #17988909C22semidirect
95. #17988903C22semidirect
96. #17988903C22semidirect
97. #17988899C22semidirect
98. #17988896C22semidirect
99. #17988893C22semidirect
100. #17988891C22semidirect
101. #17988891C22semidirect
104. #17988885C22semidirect
105. #17988885C22semidirect
107. #17988874C22semidirect
108. #17988871C22semidirect
109. #17988865C22semidirect
110. #17988844C22semidirect
113. #17988830C22semidirect
114. #17988822C22semidirect
115. #17988820C22semidirect
116. #17988817C22semidirect
117. #17988815C22semidirect
118. #17988812C22semidirect
119. #17988807C22semidirect
120. #17988806C22semidirect
121. #17988806C22semidirect
122. #17988804C22semidirect
125. #17988800C22semidirect
129. #17988779C22semidirect
131. #17988746C22semidirect
132. #17988742C22semidirect
135. #17988733C22semidirect
137. #17988729C22semidirect
142. #17988715C22semidirect
143. #17988715C22semidirect
146. #17988697C22semidirect
147. #17988697C22semidirect
149. #17988692C22semidirect
150. #17988692C22semidirect
151. #17988691C22semidirect
156. #17988689C22semidirect
157. #17988689C22semidirect
158. #17988689C22semidirect
159. #17988689C22semidirect
160. #17988688C22semidirect
161. #17988687C22semidirect
162. #17988687C22semidirect
164. #17988678C22semidirect
166. D8×Dic73C22semidirect
168. #17988660C22semidirect
169. #17988660C22semidirect
172. C8×C22⋊D73C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988644C22semidirect
175. #17988642C22semidirect
176. #17988642C22semidirect
177. #17988626C22semidirect
178. #17988624C22semidirect
179. C2×#14556525C22semidirect
181. #17988585C22semidirect
183. #17988580C22semidirect
184. C2×#14556516C22semidirect
186. #17988539C22semidirect
187. #97×D73C22semidirect
188. #532×C73C22semidirect
190. #501×C73C22semidirect
191. #496×C73C22semidirect
192. #490×C73C22semidirect
193. #489×C73C22semidirect
196. #465×C73C22semidirect
197. #465×C73C22semidirect
198. #442×C73C22semidirect
199. #442×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. C2×#97×C73C22semidirect
549. #11924017#41semidirect
891. #3180D73semidirect
902. C73#61456semidirect
932. #532C2×D73semidirect
952. #501C2×D73semidirect
955. #496C2×D73semidirect
958. #490C2×D73semidirect
960. #489C2×D73semidirect
997. #465C2×D73semidirect
998. #465C2×D73semidirect
1030. #442C2×D73semidirect
1031. #442C2×D73semidirect
1047. #440C2×D73semidirect
1048. #440C2×D73semidirect
1073. C2×#97C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235372
#226235282
#226230162
#226228712
#226226982
#226226792
#226224752
#226224222
#226223362
#226220782
#226220482
#226219662
#226219362
#226218392
#226217872
#226216352
#226214702
#226214232
#226206562
#226206272
#226200982
#226200782
#226200672
#226200442
#226200382
#226200182
#226189422
#226187422
#226187262
C2×#179886892
C73×#31802
#6145673