Finite Group Databasebeta

← #33967984

Subgroups — #33967984

Order 18688.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623537C211yesmaximal, characteristic, complemented
2#22623489C211yesmaximal, characteristic, complemented
3#22622994C211yesmaximal, characteristic, complemented
4#22622888C211yesmaximal, characteristic, complemented
5#22622761C211yesmaximal, characteristic, complemented
6#22622681C211yesmaximal, characteristic, complemented
7#22622428C211yesmaximal, characteristic, complemented
8#22622390C211yesmaximal, characteristic, complemented
9#22622314C211yesmaximal, characteristic, complemented
10#22622094C211yesmaximal, characteristic, complemented
11#22622016C211yesmaximal, characteristic, complemented
12#22621950C211yesmaximal, characteristic, complemented
13#22621904C211yesmaximal, characteristic, complemented
14#22621785C211yesmaximal, characteristic, complemented
15#22621764C211yesmaximal, characteristic, complemented
16#22621609C211yesmaximal, characteristic, complemented
17#22621451C211yesmaximal, characteristic, complemented
18#22621404C211yesmaximal, characteristic, complemented
19#22620656C211yesmaximal, characteristic, complemented
20#22620641C211yesmaximal, characteristic, complemented
21#22620627C211yesmaximal, characteristic, complemented
22#22620078C211yesmaximal, characteristic, complemented
23#22620067C211yesmaximal, characteristic, complemented
24#22620044C211yesmaximal, characteristic, complemented
25#22620038C211yesmaximal, characteristic, complemented
26#22620031C211yesmaximal, characteristic, complemented
27#22618940C211yesmaximal, characteristic, complemented
28#22618742C211yesmaximal, characteristic, complemented
29#22618726C211yesmaximal, characteristic, complemented
30C2×#17988697C211yesmaximal, characteristic, complemented
31C73×#3114C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556612C2211yescharacteristic
34C22×#11924013C2211yescharacteristic
35#17989319C2211yescharacteristic, complemented
36#17989307C2211yescharacteristic, complemented
37#17989302C2211yescharacteristic, complemented
38#17989295C2211yescharacteristic
39#17989294C2211yescharacteristic, complemented
40#17989293C2211yescharacteristic, complemented
41#17989290C2211yescharacteristic, complemented
42#17989289C2211yescharacteristic
43#17989288—21no—
44#17989283—21no—
45#17989277—21no—
46#17989272C2211yescharacteristic
47#17989272C2211yescharacteristic, complemented
48#17989263—21no—
49#17989263—21no—
50#17989262—21no—
51#17989260—21no—
52#17989241C2211yescharacteristic, complemented
53#17989231C2211yescharacteristic
54#17989231C2211yescharacteristic, complemented
55#17989230C2211yescharacteristic, complemented
56#17989229—21no—
57#17989228C2211yescharacteristic
58#17989221C2211yescharacteristic
59#17989144C2211yescharacteristic, complemented
60#17989134C2211yescharacteristic, complemented
61#17989124C2211yescharacteristic, complemented
62#17989119C2211yescharacteristic, complemented
63#17989119C2211yescharacteristic, complemented
64#17989117—21no—
65#17989117—21no—
66#17989115—21no—
67#17989099—21no—
68#17989098—21no—
69#17989096—21no—
70C4×#11924029C2211yescharacteristic, complemented
71C4×#11924028C2211yescharacteristic
72C4×#11924027C2211yescharacteristic, complemented
73C4×#11924027C2211yescharacteristic, complemented
74C2×C4×D292C2211yescharacteristic
75C4×D4×D73—21no—
76C4×D4×D73C2211yescharacteristic, complemented
77C2×#14556550—21no—
78#17988997C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988988C2211yescharacteristic, complemented
81#17988982C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic
83#17988968C2211yescharacteristic, complemented
84#17988957C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988946C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988930C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988923C2211yescharacteristic, complemented
93#17988923C2211yescharacteristic, complemented
94#17988919C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988896C2211yescharacteristic, complemented
101#17988893C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic, complemented
103#17988886C2211yescharacteristic, complemented
104#17988885C2211yescharacteristic, complemented
105#17988885C2211yescharacteristic, complemented
106#17988871C2211yescharacteristic, complemented
107#17988868C2211yescharacteristic, complemented
108#17988868C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988844C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic
112#17988834C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988826C2211yescharacteristic, complemented
115#17988826C2211yescharacteristic, complemented
116#17988822C2211yescharacteristic, complemented
117#17988820C2211yescharacteristic, complemented
118#17988817C2211yescharacteristic, complemented
119#17988815C2211yescharacteristic, complemented
120#17988814C2211yescharacteristic
121#17988814C2211yescharacteristic
122#17988812C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988801C2211yescharacteristic
126#17988801C2211yescharacteristic
127#17988800C2211yescharacteristic, complemented
128#17988793C2211yescharacteristic, complemented
129#17988793C2211yescharacteristic, complemented
130#17988786C2211yescharacteristic, complemented
131#17988780C2211yescharacteristic
132#17988752C2211yescharacteristic, complemented
133#17988746C2211yescharacteristic, complemented
134#17988740C2211yescharacteristic
135#17988740C2211yescharacteristic
136#17988739C2211yescharacteristic, complemented
137#17988733C2211yescharacteristic
138#17988733C2211yescharacteristic, complemented
139#17988731C2211yescharacteristic
140#17988729C2211yescharacteristic, complemented
141#17988719C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988697C2211yescharacteristic
145#17988697C2211yescharacteristic
146#17988697C2211yescharacteristic
147#17988697C2211yescharacteristic
148#17988697C2211yescharacteristic, complemented
149#17988697C2211yescharacteristic, complemented
150#17988697C2211yescharacteristic, complemented
151#17988697C2211yescharacteristic, complemented
152#17988696C2211yescharacteristic
153#17988692C2211yescharacteristic, complemented
154#17988692C2211yescharacteristic, complemented
155#17988691C2211yescharacteristic, complemented
156#17988689C2211yescharacteristic, complemented
157#17988689C2211yescharacteristic, complemented
158#17988689C2211yescharacteristic, complemented
159#17988689C2211yescharacteristic, complemented
160#17988688C2211yescharacteristic, complemented
161#17988687C2211yescharacteristic, complemented
162#17988687C2211yescharacteristic, complemented
163#17988686C2211yescharacteristic, complemented
164#17988678C2211yescharacteristic, complemented
165#17988674C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic
168#17988657C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic, complemented
170#17988655C2211yescharacteristic
171#17988655C2211yescharacteristic
172#17988650C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988642C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic, complemented
177#17988624C2211yescharacteristic, complemented
178C2×#14556522C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183C2×#14556512C2211yescharacteristic, complemented
184C2×#14556511C2211yescharacteristic
185#17988539C2211yescharacteristic, complemented
186C2×#14556502C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic
189C2×C4×D4×C73C2211yescharacteristic, complemented
190#483×C73C2211yescharacteristic, complemented
191#480×C73C2211yescharacteristic
192#478×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic, complemented
197#447×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028D411yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C22×C4×D73—21no—
213#14556615—24no—
214#14556612—24no—
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924013—24no—
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C2×#11924011C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556591C2311yescharacteristic
235#14556591C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556587C2311yescharacteristic
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556583—21no—
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556580C2311yescharacteristic
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#14556574—21no—
269#14556574—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556572—21no—
275#14556572—21no—
276#14556571—21no—
277#14556571—21no—
278#14556571C2311yescharacteristic
279#14556571C2311yescharacteristic
280#14556570—21no—
281#14556570—21no—
282#14556570—21no—
283#14556570C2311yescharacteristic
284#14556570C2311yescharacteristic
285#14556569—21no—
286#14556569—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556567C2311yescharacteristic
291#14556566—21no—
292#14556566—21no—
293#14556566C2311yescharacteristic
294#14556566C2311yescharacteristic
295#14556565—21no—
296#14556565—21no—
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556562C2311yescharacteristic
304#14556562C2311yescharacteristic
305#14556562C2311yescharacteristic
306#14556561—21no—
307#14556561—21no—
308#14556561—21no—
309#14556560—21no—
310#14556560—21no—
311#14556559—21no—
312Q8×Dic73C2311yescharacteristic
313C4×Dic146—21no—
314C4×Dic146D411yescharacteristic
315C4×Dic146C2311yescharacteristic
316C4×Dic146C2311yescharacteristic
317C4×Dic146C2311yescharacteristic
318#14556556C2311yescharacteristic
319#14556556C2311yescharacteristic
320C4×D292—21no—
321C4×D292—21no—
322C4×D292—21no—
323C4×D292—21no—
324C4×D292D411yescharacteristic
325C4×D292C2311yescharacteristic
326C4×D292C2311yescharacteristic
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330D4×Dic73—21no—
331D4×Dic73C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334#14556553—21no—
335#14556553—21no—
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73D411yescharacteristic
345C4×C22⋊D73D411yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556550—21no—
354#14556550—21no—
355#14556550—21no—
356#14556550—21no—
357#14556550—21no—
358#14556550—21no—
359#14556550—21no—
360#14556550D411yescharacteristic
361#14556549—21no—
362#14556549C2311yescharacteristic
363#14556549C2311yescharacteristic
364#14556549C2311yescharacteristic
365#14556548—21no—
366#14556548D411yescharacteristic
367#14556548D411yescharacteristic
368#14556547—21no—
369#14556547—21no—
370C2×C4⋊Dic73—21no—
371C2×C4⋊Dic73—21no—
372C2×C4⋊Dic73C2311yescharacteristic
373C4⋊C4×D73—21no—
374C4⋊C4×D73C2311yescharacteristic
375C2×C22⋊Dic73—21no—
376C2×C22⋊Dic73—21no—
377C2×#11924005—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C2×C4×Dic73—21no—
382C2×C4×Dic73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
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
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C23×C4×C73—21no—
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444#126×C73—21no—
445#125×C73C2311yescharacteristic
446#124×C73C2311yescharacteristic
447#123×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73—21no—
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C22⋊C4×C73—21no—
462C2×C42×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×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
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×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—21no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×D292—22no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—41no—
502C2×D292C2×D411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
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⋊D73C2×D411yescharacteristic
514C2×C22⋊D73C2×D411yescharacteristic
515D4×D73—22no—
516D4×D73—41no—
517D4×D73—44no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—82no—
533C2×C4×D73—82no—
534C2×C4×D73C2×D411yescharacteristic
535C2×C4×D73C2×D411yescharacteristic
536C2×C4×D73C2×D411yescharacteristic
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2411yescharacteristic
539C2×C4×D73C2411yescharacteristic
540#11924018—22no—
541#11924018—41no—
542#11924017—22no—
543#11924017—22no—
544#11924017—41no—
545#11924017—41no—
546#11924016—22no—
547#11924016—41no—
548#11924013—22no—
549#11924013—22no—
550#11924013—22no—
551#11924013#4114yescomplemented
552#11924011—22no—
553#11924011—41no—
554C2×#10596831—22no—
555C2×#10596831—41no—
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C8×D73—22no—
561C8×D73—41no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
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⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
623#11924005—21no—
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
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
642C24×C73—21no—
643C2×Q8×C73C2411yescharacteristic
644C2×D4×C73—22no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—41no—
648C2×D4×C73C2411yescharacteristic
649C2×D4×C73C2411yescharacteristic
650C2×D4×C73C2411yescharacteristic
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—44no—
658C22×C4×C73C2×D411yescharacteristic
659C22×C4×C73C2×D411yescharacteristic
660C22×C4×C73C2411yescharacteristic
661SD16×C73—22no—
662SD16×C73—41no—
663D8×C73—22no—
664D8×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×C73—42no—
696C23×C73—42no—
697C23×C73—81no—
698C23×C73C22×D411yescharacteristic
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—42no—
717D4×C73—42no—
718D4×C73C2×#4112yes—
719C2×C4×C73—22no—
720C2×C4×C73—21no—
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—41no—
728C2×C4×C73—42no—
729C2×C4×C73—42no—
730C2×C4×C73—42no—
731C2×C4×C73—42no—
732C2×C4×C73—42no—
733C2×C4×C73—42no—
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C2511yescharacteristic
740C22⋊D73—22no—
741C22⋊D73—22no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—42no—
757C2×Dic73—42no—
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—21no—
797Dic146—41no—
798Dic146—81no—
799Dic146—81no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73—21no—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831C2×#4112yes—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—22no—
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—84no—
820C22×C73#57512yes—
821C22×C73C23×D411yescharacteristic
822C2×D73—21no—
823C2×D73—21no—
824C2×D73—21no—
825C2×D73—21no—
826C2×D73—22no—
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—84no—
835C2×D73—84no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73C22×#4111yescharacteristic
847C4×C73#58511yescharacteristic
848Dic73—21no—
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—22no—
862C2×C73—42no—
863C2×C73—81no—
864C2×C73—81no—
865C2×C73D4×#4111yescharacteristic
866C2×C73C2×#57511yescharacteristic
867C2×C73#358511yescharacteristic
868D73—41no—
869D73—41no—
870D73—42no—
871D73—81no—
872#3481—731no—
873#3475—731no—
874#3401—731no—
875#3389—731no—
876#3376—731no—
877#3370—731no—
878#3347—731no—
879#3344—731no—
880#3337—731no—
881#3319—731no—
882#3314—731no—
883#3310—731no—
884#3307—731no—
885#3297—731no—
886#3296—731no—
887#3280—731no—
888#3267—731no—
889#3264—731no—
890#3183—731no—
891#3181—731no—
892#3180—731no—
893#3115—731no—
894#3114—731no—
895#3114D7311yescharacteristic, complemented
896#3111—731no—
897#3111—731no—
898#3110—731no—
899#2970—731no—
900C4×AGL(1,ℤ/8)—731no—
901#2943—731no—
902C2×#442—731no—
903C73#6145411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)—731no—
905C2×#135—731no—
906C22×D8—731no—
907#559—731no—
908#556—731no—
909#555—731no—
910#554—731no—
911#554—731no—
912#554—731no—
913#553—731no—
914#553—731no—
915#553—1461no—
916#553—1461no—
917#552—731no—
918#552—731no—
919#552—1461no—
920#551—1461no—
921#551—1461no—
922#551—1461no—
923#551—1461no—
924#547—731no—
925#546—731no—
926#546—731no—
927#546—731no—
928#546—731no—
929#546—1461no—
930D42—731no—
931#533—731no—
932#532—731no—
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—
942#525—1461no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—731no—
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—1461no—
950C2×C4×D4C2×D7311yescharacteristic, complemented
951C2×#117—1461no—
952#501—731no—
953#501—731no—
954#499—731no—
955#497—731no—
956#496—731no—
957#495—731no—
958#491—731no—
959#490—731no—
960#489—731no—
961#489—731no—
962#488—731no—
963#488—731no—
964#485—731no—
965#485—731no—
966#484—731no—
967#484—731no—
968#483—731no—
969#483C2×D7311yescharacteristic, complemented
970#482—731no—
971#482—731no—
972#482—731no—
973#482—731no—
974#480—731no—
975#480C2×D7311yescharacteristic
976#479—731no—
977#479—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478C2×D7311yescharacteristic, complemented
983#478C2×D7311yescharacteristic, complemented
984#475—731no—
985#474—731no—
986#474—731no—
987#474—731no—
988#470—731no—
989#469—731no—
990#468—731no—
991#468—731no—
992#467—731no—
993#467—731no—
994#466—731no—
995#466—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#465—731no—
1000#464—731no—
1001#464—731no—
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463C2×D7311yescharacteristic, complemented
1007#463C2×D7311yescharacteristic, complemented
1008#461—731no—
1009#461—731no—
1010#460—731no—
1011#459—731no—
1012#452—731no—
1013#452—731no—
1014#450—731no—
1015#450—731no—
1016#450—731no—
1017#450C2×D7311yescharacteristic, complemented
1018#449—731no—
1019#449—731no—
1020#449—731no—
1021#449—731no—
1022#447—731no—
1023#447C2×D7311yescharacteristic
1024#446—731no—
1025#446—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#442—731no—
1033#442—731no—
1034#442—731no—
1035#442C2×D7311yescharacteristic, complemented
1036#442C2×D7311yescharacteristic, complemented
1037#441—731no—
1038#441—731no—
1039#441—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440C2×D7311yescharacteristic, complemented
1049#440C2×D7311yescharacteristic, complemented
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435—731no—
1058C8×D4—731no—
1059C8×D4—731no—
1060#432—731no—
1061#432—731no—
1062#432C2×D7311yescharacteristic, complemented
1063#428—731no—
1064#427—731no—
1065C2×#106—731no—
1066#418—731no—
1067#417—731no—
1068#416—731no—
1069#416—731no—
1070C2×#102—731no—
1071C2×#102—731no—
1072C4×M16—731no—
1073C2×#97—731no—
1074C2×#97—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—731no—
1079C2×#41—1461no—
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—1461no—
1083C22×D4C22×D7311yescharacteristic
1084C23×C4—21no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—1464no—
1088#135—1464no—
1089C2×Q16—731no—
1090C2×Q16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—1464no—
1104C2×D8C22×D7311yescharacteristic
1105C2×D8C22×D7311yescharacteristic
1106C2×M16—731no—
1107C2×M16—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C22×C8—731no—
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8—731no—
1115#127—731no—
1116#126—21no—
1117#126—1461no—
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#125—731no—
1127#125—731no—
1128#125—731no—
1129#125—1461no—
1130#125—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125C22×D7311yescharacteristic
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—1461no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124C22×D7311yescharacteristic
1142#123—21no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
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—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8C22×D7311yescharacteristic
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
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#121—1461no—
1189#121C22×D7311yescharacteristic
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—1461no—
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
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—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1242C4×D4C22×D7311yescharacteristic
1243C4×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—21no—
1247#117—731no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—731no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—1461no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4C22×D7311yescharacteristic
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—731no—
1278C2×C42—731no—
1279C2×C42—1461no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42C22×D7311yescharacteristic
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107C22×D7311yescharacteristic
1290#107C22×D7311yescharacteristic
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106C22×D7311yescharacteristic
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8C22×D7311yescharacteristic
1304C4⋊C8C22×D7311yescharacteristic
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#103—731no—
1315#103C22×D7311yescharacteristic
1316#103C22×D7311yescharacteristic
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#102—731no—
1331#102C22×D7311yescharacteristic
1332#102C22×D7311yescharacteristic
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8C22×D7311yescharacteristic
1342C22⋊C8C22×D7311yescharacteristic
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97C22×D7311yescharacteristic
1350#97C22×D7311yescharacteristic
1351C4×C8—731no—
1352C4×C8—731no—
1353C24—21no—
1354C24—1461no—
1355C24—1461no—
1356#41—2922no—
1357#41—2921no—
1358#41—2921no—
1359#41—2921no—
1360#41—5842no—
1361#41—1462no—
1362#41—1462no—
1363#41—1462no—
1364C2×Q8—731no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—1461no—
1368C2×Q8—1461no—
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—22no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—41no—
1374C2×D4—2921no—
1375C2×D4—2924no—
1376C2×D4—2921no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1462no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1462no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4C23×D7311yescharacteristic
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—44no—
1406C22×C4—5842no—
1407C22×C4—5842no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
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×C4D4×D7311yescharacteristic
1429C22×C4D4×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—2921no—
1432Q16—1462no—
1433SD16—22no—
1434SD16—41no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—2921no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—22no—
1442D8—41no—
1443D8—734no—
1444D8—1462no—
1445D8—1462no—
1446D8—1462no—
1447M16—2921no—
1448M16—1462no—
1449C2×C8—2921no—
1450C2×C8—2921no—
1451C2×C8—731no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—1462no—
1456C2×C8—1462no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—731no—
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—1461no—
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⋊C4—1461no—
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
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—21no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
1515C22⋊C4—731no—
1516C22⋊C4—731no—
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—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C42—21no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—1461no—
1553C42—1461no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42D4×D7311yescharacteristic
1561C42D4×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—42no—
1569C23—81no—
1570C23—2922no—
1571C23—2922no—
1572C23—2922no—
1573C23—2922no—
1574C23—5841no—
1575C23—5841no—
1576C23—731no—
1577C23—731no—
1578C23—1461no—
1579C23—1461no—
1580C23C2×D4×D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—2921no—
1584Q8—5841no—
1585Q8—5841no—
1586Q8—1461no—
1587Q8—1461no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—42no—
1596D4—42no—
1597D4—2922no—
1598D4—2921no—
1599D4—2922no—
1600D4—2922no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—2922no—
1605D4—5841no—
1606D4—5841no—
1607D4—5841no—
1608D4—5841no—
1609D4—5841no—
1610D4—732no—
1611D4—1462no—
1612D4—1462no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4#41×D7312yes—
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—42no—
1630C2×C4—42no—
1631C2×C4—42no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2921no—
1635C2×C4—2921no—
1636C2×C4—2921no—
1637C2×C4—2921no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
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×C4—1461no—
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C2×D4×D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—732no—
1677C8—1461no—
1678C8—1461no—
1679C8—1461no—
1680C22—21no—
1681C22—21no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—84no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—5844no—
1698C22—5844no—
1699C22—1461no—
1700C22—1461no—
1701C22—1462no—
1702C22—1461no—
1703C22—1461no—
1704C22—1461no—
1705C22—1461no—
1706C22#1798938312yes—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—2921no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C2×#41×D7311yescharacteristic
1731C4#1798942311yescharacteristic
1732C2—22no—
1733C2—42no—
1734C2—81no—
1735C2—81no—
1736C2—2922no—
1737C2—2921no—
1738C2—2921no—
1739C2—5841no—
1740C2#2262341411yescharacteristic
1741C2C2×#1798938311yescharacteristic
1742C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3114C2
socleC22×C73C23×D4
hypercenter#3114D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3114

Complements

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

NH ≅ G/Ntype
1. #22623537C2semidirect
2. #22623489C2semidirect
3. #22622994C2semidirect
4. #22622888C2semidirect
5. #22622761C2semidirect
6. #22622681C2semidirect
7. #22622428C2semidirect
8. #22622390C2semidirect
9. #22622314C2semidirect
10. #22622094C2semidirect
11. #22622016C2semidirect
12. #22621950C2semidirect
13. #22621904C2semidirect
14. #22621785C2semidirect
15. #22621764C2semidirect
16. #22621609C2semidirect
17. #22621451C2semidirect
18. #22621404C2semidirect
19. #22620656C2semidirect
20. #22620641C2semidirect
21. #22620627C2semidirect
22. #22620078C2semidirect
23. #22620067C2semidirect
24. #22620044C2semidirect
25. #22620038C2semidirect
26. #22620031C2semidirect
27. #22618940C2semidirect
28. #22618742C2semidirect
29. #22618726C2semidirect
30. C2×#17988697C2semidirect
31. C73×#3114C2semidirect
35. #17989319C22semidirect
36. #17989307C22semidirect
37. #17989302C22semidirect
39. #17989294C22semidirect
40. #17989293C22semidirect
41. #17989290C22semidirect
47. #17989272C22semidirect
52. #17989241C22semidirect
54. #17989231C22semidirect
55. #17989230C22semidirect
59. #17989144C22semidirect
60. #17989134C22semidirect
61. #17989124C22semidirect
62. #17989119C22semidirect
63. #17989119C22semidirect
70. C4×#11924029C22semidirect
72. C4×#11924027C22semidirect
73. C4×#11924027C22semidirect
76. C4×D4×D73C22semidirect
78. #17988997C22semidirect
79. #17988994C22semidirect
80. #17988988C22semidirect
81. #17988982C22semidirect
83. #17988968C22semidirect
84. #17988957C22semidirect
85. #17988950C22semidirect
86. #17988946C22semidirect
87. #17988945C22semidirect
88. #17988943C22semidirect
89. #17988940C22semidirect
90. #17988930C22semidirect
91. #17988927C22semidirect
92. #17988923C22semidirect
93. #17988923C22semidirect
94. #17988919C22semidirect
95. #17988914C22semidirect
96. #17988913C22semidirect
97. #17988909C22semidirect
98. #17988909C22semidirect
99. #17988899C22semidirect
100. #17988896C22semidirect
101. #17988893C22semidirect
102. #17988890C22semidirect
103. #17988886C22semidirect
104. #17988885C22semidirect
105. #17988885C22semidirect
106. #17988871C22semidirect
107. #17988868C22semidirect
108. #17988868C22semidirect
109. #17988865C22semidirect
110. #17988844C22semidirect
112. #17988834C22semidirect
113. #17988830C22semidirect
114. #17988826C22semidirect
115. #17988826C22semidirect
116. #17988822C22semidirect
117. #17988820C22semidirect
118. #17988817C22semidirect
119. #17988815C22semidirect
122. #17988812C22semidirect
123. #17988807C22semidirect
124. #17988804C22semidirect
127. #17988800C22semidirect
128. #17988793C22semidirect
129. #17988793C22semidirect
130. #17988786C22semidirect
132. #17988752C22semidirect
133. #17988746C22semidirect
136. #17988739C22semidirect
138. #17988733C22semidirect
140. #17988729C22semidirect
142. #17988716C22semidirect
143. #17988716C22semidirect
148. #17988697C22semidirect
149. #17988697C22semidirect
150. #17988697C22semidirect
151. #17988697C22semidirect
153. #17988692C22semidirect
154. #17988692C22semidirect
155. #17988691C22semidirect
156. #17988689C22semidirect
157. #17988689C22semidirect
158. #17988689C22semidirect
159. #17988689C22semidirect
160. #17988688C22semidirect
161. #17988687C22semidirect
162. #17988687C22semidirect
163. #17988686C22semidirect
164. #17988678C22semidirect
165. #17988674C22semidirect
166. D8×Dic73C22semidirect
168. #17988657C22semidirect
169. #17988657C22semidirect
172. #17988650C22semidirect
173. #17988650C22semidirect
174. #17988642C22semidirect
175. #17988642C22semidirect
176. #17988626C22semidirect
177. #17988624C22semidirect
178. C2×#14556522C22semidirect
179. #17988590C22semidirect
180. #17988585C22semidirect
181. #17988582C22semidirect
182. #17988580C22semidirect
183. C2×#14556512C22semidirect
185. #17988539C22semidirect
186. C2×#14556502C22semidirect
187. #97×D73C22semidirect
189. C2×C4×D4×C73C22semidirect
190. #483×C73C22semidirect
192. #478×C73C22semidirect
193. #478×C73C22semidirect
194. #463×C73C22semidirect
195. #463×C73C22semidirect
196. #450×C73C22semidirect
198. #442×C73C22semidirect
199. #442×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
551. #11924013#41semidirect
895. #3114D73semidirect
903. C73#61454semidirect
950. C2×C4×D4C2×D73semidirect
969. #483C2×D73semidirect
982. #478C2×D73semidirect
983. #478C2×D73semidirect
1006. #463C2×D73semidirect
1007. #463C2×D73semidirect
1017. #450C2×D73semidirect
1035. #442C2×D73semidirect
1036. #442C2×D73semidirect
1048. #440C2×D73semidirect
1049. #440C2×D73semidirect
1062. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235372
#226234892
#226229942
#226228882
#226227612
#226226812
#226224282
#226223902
#226223142
#226220942
#226220162
#226219502
#226219042
#226217852
#226217642
#226216092
#226214512
#226214042
#226206562
#226206412
#226206272
#226200782
#226200672
#226200442
#226200382
#226200312
#226189402
#226187422
#226187262
C2×#179886972
C73×#31142
#6145473