Finite Group Databasebeta

← #33978576

Subgroups — #33978576

Order 18688.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623894C211yesmaximal, characteristic, complemented
2#22623544C211yesmaximal, characteristic, complemented
3#22623009C211yesmaximal, characteristic, complemented
4#22623000C211yesmaximal, characteristic, complemented
5#22622776C211yesmaximal, characteristic, complemented
6#22622702C211yesmaximal, characteristic, complemented
7#22622194C211yesmaximal, characteristic, complemented
8#22622142C211yesmaximal, characteristic, complemented
9#22621979C211yesmaximal, characteristic, complemented
10#22621949C211yesmaximal, characteristic, complemented
11#22621917C211yesmaximal, characteristic, complemented
12#22621887C211yesmaximal, characteristic, complemented
13#22621585C211yesmaximal, characteristic, complemented
14#22621569C211yesmaximal, characteristic, complemented
15#22621508C211yesmaximal, characteristic, complemented
16#22621496C211yesmaximal, characteristic, complemented
17#22621448C211yesmaximal, characteristic, complemented
18#22621432C211yesmaximal, characteristic, complemented
19#22621303C211yesmaximal, characteristic, complemented
20#22621282C211yesmaximal, characteristic, complemented
21#22620964C211yesmaximal, characteristic, complemented
22#22620932C211yesmaximal, characteristic, complemented
23#22620894C211yesmaximal, characteristic, complemented
24#22620098C211yesmaximal, characteristic, complemented
25#22620045C211yesmaximal, characteristic, complemented
26#22620016C211yesmaximal, characteristic, complemented
27#22619420C211yesmaximal, characteristic, complemented
28#22619405C211yesmaximal, characteristic, complemented
29#464×D73C211yesmaximal, characteristic, complemented
30#22619045C211yesmaximal, characteristic, complemented
31C73×#3256C211yesmaximal, characteristic, complemented
32C2×#14556624C2211yescharacteristic, complemented
33C2×#14556624C2211yescharacteristic, complemented
34C2×#14556620C2211yescharacteristic, complemented
35C2×#14556615C2211yescharacteristic
36C2×Q16×D73C2211yescharacteristic, complemented
37C2×SD16×D73C2211yescharacteristic
38#17989322C2211yescharacteristic
39#17989314C2211yescharacteristic, complemented
40#17989307C2211yescharacteristic
41#17989306C2211yescharacteristic, complemented
42#17989304—21no—
43#17989302—21no—
44#17989279C2211yescharacteristic, complemented
45#17989275C2211yescharacteristic
46#17989274—21no—
47#17989273—21no—
48#17989262—21no—
49#17989262—21no—
50Q8×D292C2211yescharacteristic
51#17989250C2211yescharacteristic, complemented
52#17989247C2211yescharacteristic
53#17989247C2211yescharacteristic
54#17989245C2211yescharacteristic
55#17989243C2211yescharacteristic, complemented
56#17989237C2211yescharacteristic, complemented
57#17989235—21no—
58#17989234C2211yescharacteristic
59#17989234C2211yescharacteristic
60#17989233—21no—
61D4×D292C2211yescharacteristic
62#17989208—21no—
63#17989173—21no—
64#17989173—21no—
65#17989141C2211yescharacteristic, complemented
66#17989140—21no—
67#17989137C2211yescharacteristic
68#17989122C2211yescharacteristic
69#17989122C2211yescharacteristic
70#17989119C2211yescharacteristic, complemented
71#17989117—21no—
72#17989115—21no—
73#124×D73C2211yescharacteristic
74#124×D73C2211yescharacteristic
75#17989061—21no—
76C4×#11924028C2211yescharacteristic
77C4×#11924027—21no—
78C4×#11924027C2211yescharacteristic, complemented
79C2×C4×Dic146C2211yescharacteristic, complemented
80C4×Q8×D73C2211yescharacteristic, complemented
81#17988982C2211yescharacteristic, complemented
82#17988980C2211yescharacteristic, complemented
83#17988978C2211yescharacteristic
84#17988977C2211yescharacteristic
85#17988970C2211yescharacteristic
86#17988968C2211yescharacteristic, complemented
87#17988957C2211yescharacteristic, complemented
88#17988953C2211yescharacteristic
89#17988948C2211yescharacteristic, complemented
90#17988945C2211yescharacteristic
91#17988943C2211yescharacteristic, complemented
92#17988940C2211yescharacteristic
93#17988930C2211yescharacteristic, complemented
94#17988920C2211yescharacteristic, complemented
95#17988919C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic
97#17988903C2211yescharacteristic
98#17988902C2211yescharacteristic
99#17988897C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988891C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic, complemented
103#17988881C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic, complemented
105#17988846C2211yescharacteristic, complemented
106#17988844C2211yescharacteristic, complemented
107#17988836C2211yescharacteristic
108#17988834C2211yescharacteristic
109#17988829C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic
111#17988817C2211yescharacteristic
112#17988815C2211yescharacteristic, complemented
113#17988812C2211yescharacteristic, complemented
114#17988812C2211yescharacteristic, complemented
115#17988811C2211yescharacteristic, complemented
116#17988810C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988810C2211yescharacteristic, complemented
120#17988809C2211yescharacteristic, complemented
121#17988809C2211yescharacteristic, complemented
122#17988808C2211yescharacteristic
123#17988808C2211yescharacteristic
124#17988808C2211yescharacteristic, complemented
125#17988807C2211yescharacteristic
126#17988806C2211yescharacteristic
127#17988806C2211yescharacteristic
128#17988804C2211yescharacteristic, complemented
129#17988802C2211yescharacteristic, complemented
130#17988802C2211yescharacteristic, complemented
131#17988801C2211yescharacteristic, complemented
132#17988800C2211yescharacteristic
133#17988798C2211yescharacteristic, complemented
134#17988798C2211yescharacteristic, complemented
135#17988796C2211yescharacteristic, complemented
136#17988791C2211yescharacteristic, complemented
137#17988788C2211yescharacteristic
138#17988788C2211yescharacteristic
139#17988750C2211yescharacteristic, complemented
140#17988747C2211yescharacteristic, complemented
141#17988747C2211yescharacteristic, complemented
142#17988744C2211yescharacteristic, complemented
143#17988744C2211yescharacteristic, complemented
144#17988744C2211yescharacteristic, complemented
145#17988742C2211yescharacteristic, complemented
146#17988741C2211yescharacteristic, complemented
147#17988739C2211yescharacteristic
148#17988739C2211yescharacteristic
149#17988736C2211yescharacteristic
150#17988733C2211yescharacteristic
151#17988730C2211yescharacteristic, complemented
152#17988730C2211yescharacteristic, complemented
153#17988727C2211yescharacteristic
154#17988725C2211yescharacteristic
155#17988724C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic
157#17988716C2211yescharacteristic, complemented
158#17988716C2211yescharacteristic, complemented
159#17988696C2211yescharacteristic, complemented
160#17988693C2211yescharacteristic, complemented
161#17988692C2211yescharacteristic, complemented
162#17988692C2211yescharacteristic, complemented
163#17988687C2211yescharacteristic
164#17988687C2211yescharacteristic
165#17988686C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167#17988681C2211yescharacteristic, complemented
168#17988679C2211yescharacteristic, complemented
169#17988674C2211yescharacteristic, complemented
170#17988672C2211yescharacteristic, complemented
171#17988663C2211yescharacteristic, complemented
172#17988663C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic
174#17988657C2211yescharacteristic
175#17988656C2211yescharacteristic, complemented
176#17988656C2211yescharacteristic, complemented
177#17988644C2211yescharacteristic, complemented
178#17988643C2211yescharacteristic, complemented
179#17988639C2211yescharacteristic, complemented
180#17988609C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic
184#17988589C2211yescharacteristic, complemented
185#17988589C2211yescharacteristic, complemented
186#103×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic
188#529×C73C2211yescharacteristic
189#529×C73C2211yescharacteristic, complemented
190#479×C73C2211yescharacteristic, complemented
191#479×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#469×C73C2211yescharacteristic
196#468×C73C2211yescharacteristic
197#468×C73C2211yescharacteristic, complemented
198#464×C73C2211yescharacteristic
199#464×C73C2211yescharacteristic, complemented
200#463×C73C2211yescharacteristic
201#463×C73C2211yescharacteristic
202#423×C73C2211yescharacteristic, complemented
203C2×#11924028D411yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027C2311yescharacteristic
208C22×Dic146C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C2×Q8×D73C2311yescharacteristic
211C2×Q8×D73C2311yescharacteristic
212C22×D292—21no—
213C2×D4×D73C2311yescharacteristic
214C2×D4×D73C2311yescharacteristic
215#14556624—42no—
216#14556624—42no—
217#14556620—42no—
218#14556615—42no—
219C2×Dic292C2311yescharacteristic
220C2×Dic292C2311yescharacteristic
221C2×Dic292C2311yescharacteristic
222C2×Dic292C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924018C2311yescharacteristic
226C2×#11924018C2311yescharacteristic
227Q16×D73—42no—
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924017C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238SD16×D73—42no—
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245#14556591—21no—
246#14556591C2311yescharacteristic
247#14556590—21no—
248#14556590—21no—
249#14556590C2311yescharacteristic
250#14556589C2311yescharacteristic
251#14556588C2311yescharacteristic
252#14556586—21no—
253#14556586—21no—
254#14556586—21no—
255#14556586—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584—21no—
259#14556584—21no—
260#14556584—21no—
261#14556582—21no—
262#14556582—21no—
263#14556582C2311yescharacteristic
264#14556581—21no—
265#14556581—21no—
266#14556581—21no—
267#14556580C2311yescharacteristic
268#14556580C2311yescharacteristic
269#14556579—21no—
270#14556579C2311yescharacteristic
271#14556579C2311yescharacteristic
272#14556578C2311yescharacteristic
273#14556578C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556575—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556572—21no—
294#14556571—21no—
295#14556571—21no—
296#14556571C2311yescharacteristic
297#14556571C2311yescharacteristic
298#14556571C2311yescharacteristic
299#14556571C2311yescharacteristic
300#14556570—21no—
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556569—21no—
305#14556568—21no—
306#14556568—21no—
307#14556568—21no—
308#14556568—21no—
309#14556568—21no—
310#14556567C2311yescharacteristic
311#14556566C2311yescharacteristic
312#14556566C2311yescharacteristic
313#14556565—21no—
314#14556565—21no—
315#14556565—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556563—21no—
320#14556562—21no—
321#14556562—21no—
322#14556562C2311yescharacteristic
323#14556561—21no—
324#14556561—21no—
325#14556559—21no—
326#14556559—21no—
327Q8×Dic73C2311yescharacteristic
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146—21no—
331C4×Dic146—21no—
332C4×Dic146D411yescharacteristic
333C4×Dic146C2311yescharacteristic
334C4×Dic146C2311yescharacteristic
335C4×Dic146C2311yescharacteristic
336C4×Dic146C2311yescharacteristic
337C4×Dic146C2311yescharacteristic
338#14556556—21no—
339#14556556—21no—
340#14556556C2311yescharacteristic
341#14556556C2311yescharacteristic
342#14556556C2311yescharacteristic
343#14556556C2311yescharacteristic
344C4×D292—21no—
345C4×D292—21no—
346C4×D292—21no—
347C4×D292—21no—
348C4×D292D411yescharacteristic
349C4×D292C2311yescharacteristic
350D4×Dic73—21no—
351D4×Dic73C2311yescharacteristic
352#14556553—21no—
353#14556553—21no—
354#14556553—21no—
355#14556553—21no—
356#14556553C2311yescharacteristic
357#14556553C2311yescharacteristic
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73D411yescharacteristic
361C4×C22⋊D73D411yescharacteristic
362C4×C22⋊D73C2311yescharacteristic
363C4×C22⋊D73C2311yescharacteristic
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556550—21no—
368#14556550—21no—
369#14556550D411yescharacteristic
370#14556549—21no—
371#14556549—21no—
372#14556549—21no—
373#14556549C2311yescharacteristic
374#14556548—21no—
375#14556548D411yescharacteristic
376#14556548D411yescharacteristic
377#14556547—21no—
378#14556547—21no—
379#14556547—21no—
380C2×C4⋊Dic73C2311yescharacteristic
381C2×#11924007—21no—
382C4⋊C4×D73—21no—
383C4⋊C4×D73C2311yescharacteristic
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C2×C4×Dic73—21no—
391C2×C4×Dic73—21no—
392C42×D73—21no—
393C42×D73C2311yescharacteristic
394C42×D73C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×Q16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×M16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447#126×C73—21no—
448#126×C73—21no—
449#125×C73C2311yescharacteristic
450#125×C73C2311yescharacteristic
451#124×C73C2311yescharacteristic
452#124×C73C2311yescharacteristic
453#123×C73—21no—
454#123×C73—21no—
455C22⋊Q8×C73C2311yescharacteristic
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459C4×Q8×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×D4×C73—21no—
462C4×D4×C73—21no—
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465#117×C73—21no—
466#117×C73—21no—
467C2×C42×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—41no—
487#11924028—41no—
488#11924028—41no—
489#11924028—41no—
490#11924028—42no—
491#11924027—22no—
492#11924027—41no—
493#11924027—44no—
494C2×Dic146—22no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—41no—
501C2×Dic146C2×D411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×Dic146C2411yescharacteristic
505C2×Dic146C2411yescharacteristic
506Q8×D73—22no—
507Q8×D73—41no—
508Q8×D73—41no—
509Q8×D73—41no—
510Q8×D73—41no—
511Q8×D73—41no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—44no—
517C2×D292C2×D411yescharacteristic
518C2×D292C2411yescharacteristic
519C2×D292C2411yescharacteristic
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73C2×D411yescharacteristic
527C2×C22⋊D73C2×D411yescharacteristic
528D4×D73—41no—
529D4×D73—41no—
530D4×D73—41no—
531D4×D73—41no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549C2×C4×D73C2411yescharacteristic
550Dic292—22no—
551Dic292—22no—
552Dic292—41no—
553Dic292—41no—
554#11924018—22no—
555#11924018—41no—
556#11924018—41no—
557#11924018—41no—
558#11924017—22no—
559#11924017—22no—
560#11924017—41no—
561#11924017—41no—
562#11924016—22no—
563#11924016—41no—
564#11924016—41no—
565#11924016—41no—
566#11924015—41no—
567#11924015—41no—
568#11924013—41no—
569#11924013—41no—
570#11924011—41no—
571#11924011—41no—
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C8×D73—41no—
577C8×D73—41no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73C2×D411yescharacteristic
588C4⋊Dic73C2×D411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
590C4⋊Dic73C2411yescharacteristic
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73C2×D411yescharacteristic
618C22⋊Dic73C2×D411yescharacteristic
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640#11924005C2×D411yescharacteristic
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73C2411yescharacteristic
662C2×D4×C73C2411yescharacteristic
663C22×C4×C73—21no—
664C22×C4×C73—21no—
665C22×C4×C73C2×D411yescharacteristic
666C22×C4×C73C2×D411yescharacteristic
667C22×C4×C73C2411yescharacteristic
668Q16×C73—41no—
669SD16×C73—41no—
670SD16×C73—41no—
671D8×C73—41no—
672M16×C73—41no—
673M16×C73—41no—
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C42×C73—21no—
701C42×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73C22×D411yescharacteristic
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—42no—
712C22×D73—42no—
713C22×D73—81no—
714C22×D73—81no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73C22×D411yescharacteristic
718C22×D73C22×D411yescharacteristic
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723D4×C73—21no—
724D4×C73—21no—
725D4×C73—21no—
726D4×C73—21no—
727D4×C73—42no—
728D4×C73—81no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—41no—
738C2×C4×C73—41no—
739C2×C4×C73—42no—
740C2×C4×C73—42no—
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C2511yescharacteristic
747C22⋊D73—22no—
748C22⋊D73—41no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—42no—
762C2×Dic73—42no—
763C2×Dic73—42no—
764C2×Dic73—42no—
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771D292—22no—
772D292—21no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—42no—
777D292—42no—
778D292—42no—
779D292—81no—
780C4×D73—22no—
781C4×D73—21no—
782C4×D73—21no—
783C4×D73—21no—
784C4×D73—21no—
785C4×D73—41no—
786C4×D73—41no—
787C4×D73—41no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796Dic146—21no—
797Dic146—21no—
798Dic146—21no—
799Dic146—21no—
800Dic146—21no—
801Dic146—21no—
802Dic146—21no—
803Dic146—41no—
804Dic146—42no—
805Dic146—42no—
806Dic146—42no—
807Dic146—81no—
808Dic146—81no—
809Dic146H(5,𝔽2)12yes—
810C8×C73—21no—
811C8×C73—21no—
812C8×C73—21no—
813C8×C73—21no—
814#10596831—21no—
815#10596831—21no—
816#10596831—21no—
817#10596831—21no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—21no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73C23×D411yescharacteristic
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—162no—
840C2×D73—162no—
841C2×D73#57512yes—
842C4×C73—21no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73C2×H(5,𝔽2)11yescharacteristic
854C4×C73#58511yescharacteristic
855Dic73—21no—
856Dic73—21no—
857Dic73—22no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61972—731nomaximal, Sylow
868C2×C73—41no—
869C2×C73—81no—
870C2×C73—81no—
871C2×C73#348811yescharacteristic
872C2×C73C2×#57511yescharacteristic
873C2×C73#358611yescharacteristic
874D73—22no—
875D73—41no—
876D73—81no—
877D73—81no—
878#3514—731no—
879#3482—731no—
880#3402—731no—
881#3401—731no—
882#3377—731no—
883#3371—731no—
884#3327—731no—
885#3323—731no—
886#3312—731no—
887#3310—731no—
888#3308—731no—
889#3306—731no—
890#3277—731no—
891#3275—731no—
892#3270—731no—
893#3270—731no—
894#3266—731no—
895#3265—731no—
896#3256D7311yescharacteristic, complemented
897#3252—731no—
898#3250—731no—
899#3219—731no—
900#3215—731no—
901#3211—731no—
902#3117—731no—
903#3111—731no—
904#3108—731no—
905#3040—731no—
906#3037—731no—
907C2×#464—731no—
908#2989—731no—
909C73#6197211yescharacteristic, complemented, Sylow
910C2×#137—731no—
911C2×#137—731no—
912C2×#137—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×Q16—731no—
915C22×SD16—731no—
916#559—731no—
917#557—731no—
918#556—731no—
919#556—731no—
920#556—1461no—
921#555—1461no—
922#552—731no—
923#552—731no—
924#552—1461no—
925#552—1461no—
926#551—1461no—
927#551—1461no—
928D4×Q8—731no—
929D4×Q8—731no—
930#548—731no—
931#548—731no—
932#548—731no—
933#548—731no—
934#547—731no—
935#547—1461no—
936#546—731no—
937#546—731no—
938#546—1461no—
939D42—731no—
940#542—1461no—
941#538—1461no—
942#538—1461no—
943#533—731no—
944#533—1461no—
945#532—731no—
946#529—731no—
947#529—731no—
948#529—731no—
949#529—1461no—
950#529—1461no—
951#529C2×D7311yescharacteristic
952#529C2×D7311yescharacteristic, complemented
953C2×#124—731no—
954C2×#124—731no—
955#518—1461no—
956C4×#41—731no—
957C4×#41—731no—
958C4×#41—1461no—
959C2×C4×Q8—731no—
960C2×C4×Q8—731no—
961#497—731no—
962#497—731no—
963#497—731no—
964#496—731no—
965#495—731no—
966#495—731no—
967#491—731no—
968#490—731no—
969#489—731no—
970#489—731no—
971#488—731no—
972#488—731no—
973#485—731no—
974#484—731no—
975#483—731no—
976#482—731no—
977#481—731no—
978#480—731no—
979#479—731no—
980#479—731no—
981#479—731no—
982#479C2×D7311yescharacteristic, complemented
983#479C2×D7311yescharacteristic, complemented
984#478—731no—
985#478C2×D7311yescharacteristic
986#478C2×D7311yescharacteristic, complemented
987#477—731no—
988#476—731no—
989#470—731no—
990#470—731no—
991#470C2×D7311yescharacteristic, complemented
992#469C2×D7311yescharacteristic
993#468—731no—
994#468—731no—
995#468C2×D7311yescharacteristic
996#468C2×D7311yescharacteristic, complemented
997#467—731no—
998#466—731no—
999#465—731no—
1000#465—731no—
1001#464—731no—
1002#464—731no—
1003#464—731no—
1004#464—731no—
1005#464—731no—
1006#464—731no—
1007#464—731no—
1008#464—731no—
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464C2×D7311yescharacteristic
1017#464C2×D7311yescharacteristic, complemented
1018#463—731no—
1019#463—731no—
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463C2×D7311yescharacteristic
1024#463C2×D7311yescharacteristic
1025#462—731no—
1026#462—731no—
1027#462—731no—
1028#461—731no—
1029#460—731no—
1030#460—731no—
1031#452—731no—
1032#452—731no—
1033#452—731no—
1034#451—731no—
1035#451—731no—
1036#451—731no—
1037#451—731no—
1038#451—731no—
1039#450—731no—
1040#450—731no—
1041#450—731no—
1042#449—731no—
1043#449—731no—
1044#449—731no—
1045#448—731no—
1046#448—731no—
1047#448—731no—
1048#447—731no—
1049#446—731no—
1050#446—731no—
1051#442—731no—
1052#441—731no—
1053#441—731no—
1054#441—731no—
1055#440—731no—
1056#440—731no—
1057#440—731no—
1058#440—731no—
1059C4×Q16—731no—
1060C4×Q16—731no—
1061C4×SD16—731no—
1062C4×SD16—731no—
1063#436—731no—
1064#436—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#435—731no—
1069#432—731no—
1070#432—731no—
1071#431—731no—
1072#423—731no—
1073#423C2×D7311yescharacteristic, complemented
1074C2×C4⋊C8—731no—
1075#419—731no—
1076#418—731no—
1077#417—731no—
1078#417—731no—
1079C2×#103—731no—
1080C2×#102—731no—
1081C2×#41—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C22×Q8—731no—
1087C22×Q8—731no—
1088C22×Q8—731no—
1089C22×Q8—731no—
1090C22×D4—731no—
1091C22×D4—731no—
1092C22×D4—1461no—
1093#137—2922no—
1094#137—2922no—
1095#137—2922no—
1096AGL(1,ℤ/8)—2922no—
1097C2×Q16—2922no—
1098C2×Q16—731no—
1099C2×Q16—731no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16—731no—
1103C2×Q16—731no—
1104C2×Q16—731no—
1105C2×Q16—731no—
1106C2×Q16C22×D7311yescharacteristic
1107C2×SD16—2922no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16C22×D7311yescharacteristic
1119C2×SD16C22×D7311yescharacteristic
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8C22×D7311yescharacteristic
1123C2×M16—731no—
1124C2×M16—731no—
1125C2×M16C22×D7311yescharacteristic
1126C2×M16C22×D7311yescharacteristic
1127C22×C8—731no—
1128C22×C8—731no—
1129C4⋊Q8—731no—
1130C4⋊Q8—731no—
1131C4⋊Q8—731no—
1132C4⋊Q8—1461no—
1133C4⋊Q8—1461no—
1134C4⋊Q8—1461no—
1135#127—731no—
1136#126—21no—
1137#126—21no—
1138#126—1461no—
1139#126—1461no—
1140#126—1461no—
1141#126—1461no—
1142#126—1461no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#125—731no—
1148#125—1461no—
1149#125—1461no—
1150#125—1461no—
1151#125—1461no—
1152#125—1461no—
1153#125C22×D7311yescharacteristic
1154#125C22×D7311yescharacteristic
1155#124—731no—
1156#124—731no—
1157#124—731no—
1158#124—731no—
1159#124—731no—
1160#124—731no—
1161#124—731no—
1162#124—1461no—
1163#124—1461no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124C22×D7311yescharacteristic
1172#124C22×D7311yescharacteristic
1173#123—21no—
1174#123—21no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186C22⋊Q8—731no—
1187C22⋊Q8—731no—
1188C22⋊Q8—731no—
1189C22⋊Q8—731no—
1190C22⋊Q8—731no—
1191C22⋊Q8—1461no—
1192C22⋊Q8—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8C22×D7311yescharacteristic
1204C22⋊Q8C22×D7311yescharacteristic
1205#121—731no—
1206#121—731no—
1207#121—731no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121C22×D7311yescharacteristic
1218#121C22×D7311yescharacteristic
1219#120—1461no—
1220#120—1461no—
1221#120—1461no—
1222#120—1461no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—1461no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8—1461no—
1239C4×Q8—1461no—
1240C4×Q8C22×D7311yescharacteristic
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4C22×D7311yescharacteristic
1268C4×D4C22×D7311yescharacteristic
1269#117—21no—
1270#117—21no—
1271#117—731no—
1272#117—731no—
1273#117—731no—
1274#117—731no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284C2×C4⋊C4—731no—
1285C2×C4⋊C4—731no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C22⋊C4—1461no—
1290C2×C22⋊C4—1461no—
1291C2×C22⋊C4—1461no—
1292C2×C22⋊C4—1461no—
1293C2×C22⋊C4—1461no—
1294C2×C42—731no—
1295C2×C42—731no—
1296C2×C42—1461no—
1297C2×C42—1461no—
1298C2×C42—1461no—
1299C2×C42C22×D7311yescharacteristic
1300#107—731no—
1301#107—731no—
1302#107C22×D7311yescharacteristic
1303#107C22×D7311yescharacteristic
1304#106—731no—
1305#106—731no—
1306#106C22×D7311yescharacteristic
1307#106C22×D7311yescharacteristic
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8C22×D7311yescharacteristic
1315C4⋊C8C22×D7311yescharacteristic
1316C4⋊C8C22×D7311yescharacteristic
1317C4⋊C8C22×D7311yescharacteristic
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103C22×D7311yescharacteristic
1333#103C22×D7311yescharacteristic
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102C22×D7311yescharacteristic
1347#102C22×D7311yescharacteristic
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8—731no—
1355C22⋊C8—731no—
1356#97—731no—
1357#97—731no—
1358#97—731no—
1359#97—731no—
1360C4×C8—731no—
1361C4×C8—731no—
1362C24—1461no—
1363C24—1461no—
1364#41—2921no—
1365#41—2921no—
1366#41—2921no—
1367#41—2921no—
1368#41—2922no—
1369#41—2924no—
1370#41—2921no—
1371#41—1462no—
1372C2×Q8—2921no—
1373C2×Q8—2921no—
1374C2×Q8—2921no—
1375C2×Q8—2921no—
1376C2×Q8—2921no—
1377C2×Q8—2921no—
1378C2×Q8—731no—
1379C2×Q8—731no—
1380C2×Q8—731no—
1381C2×Q8—731no—
1382C2×Q8—731no—
1383C2×Q8—1462no—
1384C2×Q8—1461no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8—1461no—
1388C2×Q8—1462no—
1389C2×Q8—1461no—
1390C2×Q8C23×D7311yescharacteristic
1391C2×Q8C23×D7311yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—2924no—
1395C2×D4—2921no—
1396C2×D4—2921no—
1397C2×D4—2921no—
1398C2×D4—2921no—
1399C2×D4—731no—
1400C2×D4—731no—
1401C2×D4—731no—
1402C2×D4—731no—
1403C2×D4—731no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4C23×D7311yescharacteristic
1415C2×D4C23×D7311yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—731no—
1419C22×C4—731no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4D4×D7311yescharacteristic
1437C22×C4D4×D7311yescharacteristic
1438C22×C4C23×D7311yescharacteristic
1439Q16—41no—
1440Q16—2921no—
1441Q16—2921no—
1442Q16—2921no—
1443Q16—2921no—
1444Q16—2921no—
1445Q16—1462no—
1446Q16—1462no—
1447Q16—1462no—
1448SD16—41no—
1449SD16—41no—
1450SD16—2921no—
1451SD16—2921no—
1452SD16—2921no—
1453SD16—2921no—
1454SD16—2921no—
1455SD16—2921no—
1456SD16—2921no—
1457SD16—1462no—
1458SD16—1462no—
1459SD16—1462no—
1460D8—41no—
1461D8—2921no—
1462D8—2921no—
1463M16—41no—
1464M16—41no—
1465M16—2921no—
1466M16—2921no—
1467C2×C8—2921no—
1468C2×C8—2921no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8—731no—
1472C2×C8—731no—
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C2×C8C23×D7311yescharacteristic
1476C2×C8C23×D7311yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4C23×D7311yescharacteristic
1517C4⋊C4C23×D7311yescharacteristic
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—731no—
1531C22⋊C4—731no—
1532C22⋊C4—731no—
1533C22⋊C4—731no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
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—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C42—21no—
1563C42—21no—
1564C42—731no—
1565C42—731no—
1566C42—731no—
1567C42—731no—
1568C42—731no—
1569C42—731no—
1570C42—1461no—
1571C42—1461no—
1572C42—1461no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42D4×D7311yescharacteristic
1581C42D4×D7311yescharacteristic
1582C42C23×D7311yescharacteristic
1583C42C23×D7311yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—2922no—
1587C23—2922no—
1588C23—5841no—
1589C23—5841no—
1590C23—5841no—
1591C23—5841no—
1592C23—731no—
1593C23—731no—
1594C23—1461no—
1595C23—1461no—
1596C23C2×D4×D7311yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—2922no—
1602Q8—2921no—
1603Q8—2922no—
1604Q8—2922no—
1605Q8—5841no—
1606Q8—5841no—
1607Q8—732no—
1608Q8—1461no—
1609Q8—1461no—
1610Q8—1461no—
1611Q8—1461no—
1612Q8—1461no—
1613Q8—1461no—
1614Q8—1461no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—42no—
1620D4—81no—
1621D4—2922no—
1622D4—2922no—
1623D4—2922no—
1624D4—2922no—
1625D4—2921no—
1626D4—2922no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—5841no—
1631D4—5841no—
1632D4—1462no—
1633D4—1462no—
1634D4—1461no—
1635D4—1461no—
1636D4—1461no—
1637D4—1461no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—2921no—
1651C2×C4—2921no—
1652C2×C4—2921no—
1653C2×C4—2922no—
1654C2×C4—2922no—
1655C2×C4—2922no—
1656C2×C4—2922no—
1657C2×C4—2922no—
1658C2×C4—2922no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—1462no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4—1461no—
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C2×D4×D7311yescharacteristic
1686C2×C4C2×D4×D7311yescharacteristic
1687C2×C4C24×D7311yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1461no—
1693C8—1461no—
1694C8—1461no—
1695C8—1461no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—732no—
1712C22—11682no—
1713C22—11682no—
1714C22—1461no—
1715C22—1461no—
1716C22—1461no—
1717C22—1461no—
1718C22—1461no—
1719C22C22×D4×D7311yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—2921no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—1462no—
1737C4—1461no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4H(5,𝔽2)×D7311yescharacteristic
1744C4#1798942411yescharacteristic
1745C2—41no—
1746C2—81no—
1747C2—81no—
1748C2—2921no—
1749C2—5841no—
1750C2—5841no—
1751C2—1462no—
1752C2#2262359511yescharacteristic
1753C2#575×D7311yescharacteristic
1754C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3256C2
socleC22×C73C23×D4
hypercenter#3256D73
hypocenterC73#61972
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3256

Complements

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

NH ≅ G/Ntype
1. #22623894C2semidirect
2. #22623544C2semidirect
3. #22623009C2semidirect
4. #22623000C2semidirect
5. #22622776C2semidirect
6. #22622702C2semidirect
7. #22622194C2semidirect
8. #22622142C2semidirect
9. #22621979C2semidirect
10. #22621949C2semidirect
11. #22621917C2semidirect
12. #22621887C2semidirect
13. #22621585C2semidirect
14. #22621569C2semidirect
15. #22621508C2semidirect
16. #22621496C2semidirect
17. #22621448C2semidirect
18. #22621432C2semidirect
19. #22621303C2semidirect
20. #22621282C2semidirect
21. #22620964C2semidirect
22. #22620932C2semidirect
23. #22620894C2semidirect
24. #22620098C2semidirect
25. #22620045C2semidirect
26. #22620016C2semidirect
27. #22619420C2semidirect
28. #22619405C2semidirect
29. #464×D73C2semidirect
30. #22619045C2semidirect
31. C73×#3256C2semidirect
32. C2×#14556624C22semidirect
33. C2×#14556624C22semidirect
34. C2×#14556620C22semidirect
36. C2×Q16×D73C22semidirect
39. #17989314C22semidirect
41. #17989306C22semidirect
44. #17989279C22semidirect
51. #17989250C22semidirect
55. #17989243C22semidirect
56. #17989237C22semidirect
65. #17989141C22semidirect
70. #17989119C22semidirect
78. C4×#11924027C22semidirect
79. C2×C4×Dic146C22semidirect
80. C4×Q8×D73C22semidirect
81. #17988982C22semidirect
82. #17988980C22semidirect
86. #17988968C22semidirect
87. #17988957C22semidirect
89. #17988948C22semidirect
91. #17988943C22semidirect
93. #17988930C22semidirect
94. #17988920C22semidirect
95. #17988919C22semidirect
99. #17988897C22semidirect
100. #17988891C22semidirect
101. #17988891C22semidirect
102. #17988890C22semidirect
103. #17988881C22semidirect
104. #17988876C22semidirect
105. #17988846C22semidirect
106. #17988844C22semidirect
109. #17988829C22semidirect
112. #17988815C22semidirect
113. #17988812C22semidirect
114. #17988812C22semidirect
115. #17988811C22semidirect
116. #17988810C22semidirect
117. #17988810C22semidirect
118. #17988810C22semidirect
119. #17988810C22semidirect
120. #17988809C22semidirect
121. #17988809C22semidirect
124. #17988808C22semidirect
128. #17988804C22semidirect
129. #17988802C22semidirect
130. #17988802C22semidirect
131. #17988801C22semidirect
133. #17988798C22semidirect
134. #17988798C22semidirect
135. #17988796C22semidirect
136. #17988791C22semidirect
139. #17988750C22semidirect
140. #17988747C22semidirect
141. #17988747C22semidirect
142. #17988744C22semidirect
143. #17988744C22semidirect
144. #17988744C22semidirect
145. #17988742C22semidirect
146. #17988741C22semidirect
151. #17988730C22semidirect
152. #17988730C22semidirect
155. #17988724C22semidirect
157. #17988716C22semidirect
158. #17988716C22semidirect
159. #17988696C22semidirect
160. #17988693C22semidirect
161. #17988692C22semidirect
162. #17988692C22semidirect
165. #17988686C22semidirect
166. #17988684C22semidirect
167. #17988681C22semidirect
168. #17988679C22semidirect
169. #17988674C22semidirect
170. #17988672C22semidirect
171. #17988663C22semidirect
172. #17988663C22semidirect
175. #17988656C22semidirect
176. #17988656C22semidirect
177. #17988644C22semidirect
178. #17988643C22semidirect
179. #17988639C22semidirect
180. #17988609C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988594C22semidirect
184. #17988589C22semidirect
185. #17988589C22semidirect
186. #103×D73C22semidirect
189. #529×C73C22semidirect
190. #479×C73C22semidirect
191. #479×C73C22semidirect
193. #478×C73C22semidirect
194. #470×C73C22semidirect
197. #468×C73C22semidirect
199. #464×C73C22semidirect
202. #423×C73C22semidirect
896. #3256D73semidirect
909. C73#61972semidirect
952. #529C2×D73semidirect
982. #479C2×D73semidirect
983. #479C2×D73semidirect
986. #478C2×D73semidirect
991. #470C2×D73semidirect
996. #468C2×D73semidirect
1017. #464C2×D73semidirect
1073. #423C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238942
#226235442
#226230092
#226230002
#226227762
#226227022
#226221942
#226221422
#226219792
#226219492
#226219172
#226218872
#226215852
#226215692
#226215082
#226214962
#226214482
#226214322
#226213032
#226212822
#226209642
#226209322
#226208942
#226200982
#226200452
#226200162
#226194202
#226194052
#464×D732
#226190452
C73×#32562
#6197273