Finite Group Databasebeta

← #33957935

Subgroups — #33957935

Order 18688.

2040 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623721C211yesmaximal, characteristic, complemented
2#22623356C211yesmaximal, characteristic, complemented
3#22621038C211yesmaximal, characteristic, complemented
4#22621033C211yesmaximal, characteristic, complemented
5#22621021C211yesmaximal, characteristic, complemented
6#22621018C211yesmaximal, characteristic, complemented
7#22621017C211yesmaximal, characteristic, complemented
8#22621010C211yesmaximal, characteristic, complemented
9#22621006C211yesmaximal, characteristic, complemented
10#22620999C211yesmaximal, characteristic, complemented
11#22620967C211yesmaximal, characteristic, complemented
12#22620964C211yesmaximal, characteristic, complemented
13#22620934C211yesmaximal, characteristic, complemented
14#22620932C211yesmaximal, characteristic, complemented
15#22620894C211yesmaximal, characteristic, complemented
16#22620889C211yesmaximal, characteristic, complemented
17#22620886C211yesmaximal, characteristic, complemented
18#22620421C211yesmaximal, characteristic, complemented
19#22620402C211yesmaximal, characteristic, complemented
20#22620295C211yesmaximal, characteristic, complemented
21#22620284C211yesmaximal, characteristic, complemented
22#22619420C211yesmaximal, characteristic, complemented
23#22619401C211yesmaximal, characteristic, complemented
24#22619383C211yesmaximal, characteristic, complemented
25#464×D73C211yesmaximal, characteristic, complemented
26#22619241C211yesmaximal, characteristic, complemented
27#22619230C211yesmaximal, characteristic, complemented
28#22619221C211yesmaximal, characteristic, complemented
29#22619203C211yesmaximal, characteristic, complemented
30#22618592C211yesmaximal, characteristic, complemented
31C73×#3211C211yesmaximal, characteristic, complemented
32C2×#14556639C2211yescharacteristic
33C2×#14556636C2211yescharacteristic
34C2×#14556623C2211yescharacteristic, complemented
35C2×#14556620C2211yescharacteristic
36C2×#14556620C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic
38C2×#14556612C2211yescharacteristic, complemented
39C2×#14556610C2211yescharacteristic
40C2×Q16×D73C2211yescharacteristic, complemented
41C2×SD16×D73C2211yescharacteristic
42#17989245—21no—
43#17989245—21no—
44#17989230—21no—
45#17989230—21no—
46#17989227—21no—
47#17989227—21no—
48#17989227—21no—
49#17989227—21no—
50#17989217C2211yescharacteristic, complemented
51#17989206C2211yescharacteristic, complemented
52#17989205—21no—
53#17989204C2211yescharacteristic, complemented
54#17989200C2211yescharacteristic, complemented
55#17989197C2211yescharacteristic, complemented
56#17989194—21no—
57#17989180—21no—
58#17989178—21no—
59#17989166C2211yescharacteristic
60#17989161C2211yescharacteristic
61#17989160C2211yescharacteristic
62#17989157C2211yescharacteristic
63#17989157C2211yescharacteristic
64#17989157C2211yescharacteristic, complemented
65#17989155C2211yescharacteristic
66#17989155C2211yescharacteristic
67#17989154C2211yescharacteristic
68#17989144C2211yescharacteristic, complemented
69#17989141C2211yescharacteristic, complemented
70#17989140—21no—
71#17989137C2211yescharacteristic
72#17989136C2211yescharacteristic
73#17989136C2211yescharacteristic
74#17989119—21no—
75#17989119C2211yescharacteristic, complemented
76#17989117—21no—
77#17989115—21no—
78#124×D73C2211yescharacteristic
79#124×D73C2211yescharacteristic
80C4×#11924028C2211yescharacteristic
81C4×#11924027C2211yescharacteristic, complemented
82C4×Q8×D73C2211yescharacteristic, complemented
83#17988982C2211yescharacteristic, complemented
84#17988982C2211yescharacteristic, complemented
85#17988982C2211yescharacteristic, complemented
86#17988980C2211yescharacteristic, complemented
87#17988978C2211yescharacteristic, complemented
88#17988978C2211yescharacteristic, complemented
89#17988977C2211yescharacteristic, complemented
90#17988975C2211yescharacteristic, complemented
91#17988970C2211yescharacteristic, complemented
92#17988968C2211yescharacteristic, complemented
93#17988967C2211yescharacteristic, complemented
94#17988965C2211yescharacteristic, complemented
95#17988960C2211yescharacteristic, complemented
96#17988958C2211yescharacteristic, complemented
97#17988957C2211yescharacteristic, complemented
98#17988954C2211yescharacteristic, complemented
99#17988953C2211yescharacteristic, complemented
100#17988950C2211yescharacteristic, complemented
101#17988948C2211yescharacteristic, complemented
102#17988946C2211yescharacteristic, complemented
103#17988946C2211yescharacteristic, complemented
104#17988945C2211yescharacteristic, complemented
105#17988943C2211yescharacteristic, complemented
106#17988940C2211yescharacteristic, complemented
107#17988938C2211yescharacteristic, complemented
108#17988936C2211yescharacteristic, complemented
109#17988934C2211yescharacteristic, complemented
110#17988932C2211yescharacteristic, complemented
111#17988812C2211yescharacteristic, complemented
112#17988812C2211yescharacteristic, complemented
113#17988811C2211yescharacteristic, complemented
114#17988810C2211yescharacteristic, complemented
115#17988810C2211yescharacteristic, complemented
116#17988810C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988808C2211yescharacteristic, complemented
122#17988807C2211yescharacteristic, complemented
123#17988806C2211yescharacteristic, complemented
124#17988806C2211yescharacteristic, complemented
125#17988806C2211yescharacteristic, complemented
126#17988806C2211yescharacteristic, complemented
127#17988804C2211yescharacteristic, complemented
128#17988802C2211yescharacteristic, complemented
129#17988802C2211yescharacteristic, complemented
130#17988800C2211yescharacteristic, complemented
131#17988796C2211yescharacteristic, complemented
132#17988796C2211yescharacteristic, complemented
133#17988795C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988786C2211yescharacteristic, complemented
136#17988786C2211yescharacteristic, complemented
137#17988785C2211yescharacteristic, complemented
138#17988780C2211yescharacteristic, complemented
139#17988752C2211yescharacteristic, complemented
140#17988752C2211yescharacteristic, complemented
141#17988751C2211yescharacteristic
142#17988751C2211yescharacteristic
143#17988751C2211yescharacteristic, complemented
144#17988751C2211yescharacteristic, complemented
145#17988750C2211yescharacteristic
146#17988750C2211yescharacteristic
147#17988748C2211yescharacteristic, complemented
148#17988747C2211yescharacteristic
149#17988747C2211yescharacteristic, complemented
150#17988746C2211yescharacteristic
151#17988744C2211yescharacteristic, complemented
152#17988744C2211yescharacteristic, complemented
153#17988743C2211yescharacteristic, complemented
154#17988743C2211yescharacteristic, complemented
155#17988741C2211yescharacteristic, complemented
156#17988739C2211yescharacteristic
157#17988739C2211yescharacteristic
158#17988738C2211yescharacteristic
159#17988738C2211yescharacteristic
160#17988736C2211yescharacteristic
161#17988731C2211yescharacteristic, complemented
162#17988730C2211yescharacteristic
163#17988730C2211yescharacteristic, complemented
164#17988729C2211yescharacteristic
165#17988724C2211yescharacteristic, complemented
166#17988719C2211yescharacteristic
167#17988646C2211yescharacteristic, complemented
168#17988646C2211yescharacteristic, complemented
169#17988645C2211yescharacteristic, complemented
170#17988645C2211yescharacteristic, complemented
171#17988644C2211yescharacteristic, complemented
172#17988643C2211yescharacteristic, complemented
173#17988639C2211yescharacteristic, complemented
174#17988609C2211yescharacteristic, complemented
175C4⋊C8×D73C2211yescharacteristic, complemented
176#17988594C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic
178#17988587C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic
180#17988582C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic
182#103×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988541C2211yescharacteristic, complemented
187#17988541C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic, complemented
189C2×#124×C73C2211yescharacteristic
190#495×C73C2211yescharacteristic, complemented
191#495×C73C2211yescharacteristic, complemented
192#488×C73C2211yescharacteristic, complemented
193#488×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#463×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic
200#448×C73C2211yescharacteristic, complemented
201#447×C73C2211yescharacteristic
202#431×C73C2211yescharacteristic, complemented
203#14556639—42no—
204#14556639—42no—
205#14556636—42no—
206#14556636—42no—
207C2×#11924029—21no—
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic
210C2×#11924028—21no—
211C2×#11924028—21no—
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924027—21no—
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C2×#11924027C2311yescharacteristic
219C2×Q8×D73—21no—
220C2×Q8×D73C2311yescharacteristic
221C2×Q8×D73C2311yescharacteristic
222C2×Q8×D73C2311yescharacteristic
223C22×C22⋊D73—21no—
224C22×C22⋊D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228#14556623—42no—
229#14556620—42no—
230#14556620—42no—
231#14556615—42no—
232#14556612—42no—
233#14556610—42no—
234C2×Dic292C2311yescharacteristic
235C2×Dic292C2311yescharacteristic
236C2×Dic292C2311yescharacteristic
237C2×Dic292C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924018C2311yescharacteristic
244Q16×D73—42no—
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924017C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924016C2311yescharacteristic
251C2×#11924016C2311yescharacteristic
252C2×#11924016C2311yescharacteristic
253C2×#11924016C2311yescharacteristic
254C2×#11924016C2311yescharacteristic
255C2×#11924015C2311yescharacteristic
256C2×#11924015C2311yescharacteristic
257SD16×D73—42no—
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924011C2311yescharacteristic
261C2×#11924011C2311yescharacteristic
262C2×C8×D73C2311yescharacteristic
263C2×C8×D73C2311yescharacteristic
264#14556591C2311yescharacteristic
265#14556591C2311yescharacteristic
266#14556591C2311yescharacteristic
267#14556590—21no—
268#14556590—21no—
269#14556590C2311yescharacteristic
270#14556589C2311yescharacteristic
271#14556589C2311yescharacteristic
272#14556589C2311yescharacteristic
273#14556588C2311yescharacteristic
274#14556587C2311yescharacteristic
275#14556587C2311yescharacteristic
276#14556586—21no—
277#14556586—21no—
278#14556584—21no—
279#14556584—21no—
280#14556584—21no—
281#14556584—21no—
282#14556584—21no—
283#14556583—21no—
284#14556582—21no—
285#14556582—21no—
286#14556582—21no—
287#14556582C2311yescharacteristic
288#14556581—21no—
289#14556581—21no—
290#14556581—21no—
291#14556580C2311yescharacteristic
292#14556580C2311yescharacteristic
293#14556579C2311yescharacteristic
294#14556579C2311yescharacteristic
295#14556578—21no—
296#14556578C2311yescharacteristic
297#14556578C2311yescharacteristic
298#14556578C2311yescharacteristic
299#14556577—21no—
300#14556577—21no—
301#14556577—21no—
302#14556577—21no—
303#14556577—21no—
304#14556577—21no—
305#14556576—21no—
306#14556575—21no—
307#14556574—21no—
308#14556574—21no—
309#14556573—21no—
310#14556573—21no—
311#14556573—21no—
312#14556573—21no—
313#14556573—21no—
314#14556573—21no—
315#14556573—21no—
316#14556573—21no—
317#14556572—21no—
318#14556571—21no—
319#14556571C2311yescharacteristic
320#14556571C2311yescharacteristic
321#14556570—21no—
322#14556570C2311yescharacteristic
323#14556570C2311yescharacteristic
324#14556569—21no—
325#14556569—21no—
326#14556568—21no—
327#14556568—21no—
328#14556568—21no—
329#14556568—21no—
330#14556568—21no—
331#14556568—21no—
332#14556568—21no—
333#14556568—21no—
334#14556568—21no—
335#14556567—21no—
336#14556567—21no—
337#14556567C2311yescharacteristic
338#14556565—21no—
339#14556565—21no—
340#14556564—21no—
341#14556564—21no—
342#14556564—21no—
343#14556564—21no—
344#14556564—21no—
345#14556564—21no—
346#14556564—21no—
347#14556564—21no—
348#14556564—21no—
349#14556563—21no—
350#14556562—21no—
351#14556562—21no—
352#14556562—21no—
353#14556562C2311yescharacteristic
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556560—21no—
359#14556560—21no—
360Q8×Dic73C2311yescharacteristic
361C4×Dic146—21no—
362C4×Dic146—21no—
363C4×Dic146—21no—
364C4×Dic146D411yescharacteristic
365C4×Dic146D411yescharacteristic
366C4×Dic146C2311yescharacteristic
367C4×Dic146C2311yescharacteristic
368#14556556—21no—
369#14556556C2311yescharacteristic
370#14556556C2311yescharacteristic
371C4×D292—21no—
372C4×D292—21no—
373C4×D292D411yescharacteristic
374C4×D292D411yescharacteristic
375D4×Dic73C2311yescharacteristic
376C4×C22⋊D73—21no—
377C4×C22⋊D73—21no—
378C4×C22⋊D73D411yescharacteristic
379C4×C22⋊D73D411yescharacteristic
380C4×C22⋊D73D411yescharacteristic
381C4×C22⋊D73D411yescharacteristic
382#14556551—21no—
383#14556551—21no—
384#14556551—21no—
385#14556551—21no—
386#14556551—21no—
387#14556550—21no—
388#14556550—21no—
389#14556550C2311yescharacteristic
390#14556549C2311yescharacteristic
391#14556548—21no—
392#14556548C2311yescharacteristic
393#14556548C2311yescharacteristic
394#14556547—21no—
395C4⋊C4×D73—21no—
396C4⋊C4×D73C2311yescharacteristic
397C22⋊C4×D73—21no—
398C22⋊C4×D73—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73—21no—
401C2×C4×Dic73—21no—
402C42×D73—21no—
403C42×D73C2311yescharacteristic
404C42×D73C2311yescharacteristic
405C4⋊#10596831C2311yescharacteristic
406C4⋊#10596831C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556502C2311yescharacteristic
442#14556502C2311yescharacteristic
443#14556501C2311yescharacteristic
444#14556501C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C22×Q8×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic
450C2×Q16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×D8×C73C2311yescharacteristic
456C2×D8×C73C2311yescharacteristic
457#126×C73—21no—
458#125×C73C2311yescharacteristic
459#124×C73—21no—
460#124×C73—21no—
461#124×C73C2311yescharacteristic
462#124×C73C2311yescharacteristic
463#124×C73C2311yescharacteristic
464#124×C73C2311yescharacteristic
465#124×C73C2311yescharacteristic
466#123×C73—21no—
467C22⋊Q8×C73C2311yescharacteristic
468#121×C73C2311yescharacteristic
469C4×Q8×C73C2311yescharacteristic
470C4×D4×C73—21no—
471C4×D4×C73C2311yescharacteristic
472#117×C73—21no—
473C2×C22⋊C4×C73—21no—
474C2×C22⋊C4×C73—21no—
475C2×C42×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477C4⋊C8×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C4×C8×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492#11924029—22no—
493#11924029—22no—
494#11924029—41no—
495#11924029—41no—
496#11924029—44no—
497#11924028—22no—
498#11924028—22no—
499#11924028—41no—
500#11924028—41no—
501#11924028—41no—
502#11924028—41no—
503#11924028—44no—
504#11924028—44no—
505#11924027—22no—
506#11924027—22no—
507#11924027—22no—
508#11924027—22no—
509#11924027—41no—
510#11924027—41no—
511#11924027—44no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521C2×Dic146C2411yescharacteristic
522Q8×D73—22no—
523Q8×D73—22no—
524Q8×D73—22no—
525Q8×D73—22no—
526Q8×D73—41no—
527Q8×D73—41no—
528Q8×D73—44no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292C2×D411yescharacteristic
534C2×D292C2411yescharacteristic
535C2×D292C2411yescharacteristic
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—44no—
549C2×C22⋊D73—44no—
550C2×C22⋊D73C2×D411yescharacteristic
551C2×C22⋊D73C2×D411yescharacteristic
552D4×D73—22no—
553D4×D73—22no—
554D4×D73—41no—
555D4×D73—41no—
556D4×D73—44no—
557C22×Dic73—21no—
558C22×Dic73—21no—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73C2×D411yescharacteristic
570C2×C4×D73C2×D411yescharacteristic
571C2×C4×D73C2×D411yescharacteristic
572C2×C4×D73C2×D411yescharacteristic
573C2×C4×D73C2411yescharacteristic
574C2×C4×D73C2411yescharacteristic
575Dic292—41no—
576Dic292—41no—
577Dic292—41no—
578Dic292—41no—
579#11924018—41no—
580#11924018—41no—
581#11924018—41no—
582#11924018—41no—
583#11924018—41no—
584#11924018—41no—
585#11924017—41no—
586#11924017—41no—
587#11924017—41no—
588#11924017—41no—
589#11924016—41no—
590#11924016—41no—
591#11924016—41no—
592#11924016—41no—
593#11924016—41no—
594#11924016—41no—
595#11924015—41no—
596#11924015—41no—
597#11924013—41no—
598#11924013—41no—
599#11924011—22no—
600#11924011—22no—
601C2×#10596831C2411yescharacteristic
602C2×#10596831C2411yescharacteristic
603C2×#10596831C2411yescharacteristic
604C2×#10596831C2411yescharacteristic
605C8×D73—22no—
606C8×D73—22no—
607C4⋊Dic73—21no—
608C4⋊Dic73—21no—
609C4⋊Dic73—21no—
610C4⋊Dic73—21no—
611C4⋊Dic73—21no—
612C4⋊Dic73—21no—
613C4⋊Dic73—21no—
614C4⋊Dic73—21no—
615C4⋊Dic73—21no—
616C4⋊Dic73C2×D411yescharacteristic
617C4⋊Dic73C2×D411yescharacteristic
618C4⋊Dic73C2411yescharacteristic
619C4⋊Dic73C2411yescharacteristic
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007C2×D411yescharacteristic
637#11924007C2×D411yescharacteristic
638#11924007C2×D411yescharacteristic
639#11924007C2×D411yescharacteristic
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73C2×D411yescharacteristic
651C22⋊Dic73C2×D411yescharacteristic
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005C2×D411yescharacteristic
665#11924005C2×D411yescharacteristic
666#11924005C2×D411yescharacteristic
667#11924005C2×D411yescharacteristic
668C4×Dic73—21no—
669C4×Dic73—21no—
670C4×Dic73—21no—
671C4×Dic73—21no—
672C4×Dic73—21no—
673C4×Dic73—21no—
674C4×Dic73C2×D411yescharacteristic
675C4×Dic73C2×D411yescharacteristic
676C4×Dic73C2×D411yescharacteristic
677C4×Dic73C2×D411yescharacteristic
678C4×Dic73C2411yescharacteristic
679C4×Dic73C2411yescharacteristic
680C24×C73—21no—
681C2×Q8×C73—21no—
682C2×Q8×C73—41no—
683C2×Q8×C73—41no—
684C2×Q8×C73C2411yescharacteristic
685C2×Q8×C73C2411yescharacteristic
686C2×Q8×C73C2411yescharacteristic
687C2×D4×C73—21no—
688C2×D4×C73—21no—
689C2×D4×C73—41no—
690C2×D4×C73—41no—
691C2×D4×C73C2411yescharacteristic
692C2×D4×C73C2411yescharacteristic
693C2×D4×C73C2411yescharacteristic
694C22×C4×C73—21no—
695C22×C4×C73—21no—
696C22×C4×C73C2×D411yescharacteristic
697C22×C4×C73C2×D411yescharacteristic
698C22×C4×C73C2411yescharacteristic
699Q16×C73—41no—
700Q16×C73—41no—
701SD16×C73—41no—
702SD16×C73—41no—
703SD16×C73—41no—
704SD16×C73—41no—
705D8×C73—41no—
706D8×C73—41no—
707C2×C8×C73C2411yescharacteristic
708C2×C8×C73C2411yescharacteristic
709C2×C8×C73C2411yescharacteristic
710C2×C8×C73C2411yescharacteristic
711C4⋊C4×C73—21no—
712C4⋊C4×C73—21no—
713C4⋊C4×C73—21no—
714C4⋊C4×C73—21no—
715C4⋊C4×C73C2411yescharacteristic
716C4⋊C4×C73C2411yescharacteristic
717C22⋊C4×C73—21no—
718C22⋊C4×C73—21no—
719C22⋊C4×C73—21no—
720C22⋊C4×C73—21no—
721C22⋊C4×C73—21no—
722C22⋊C4×C73—21no—
723C22⋊C4×C73—21no—
724C22⋊C4×C73—21no—
725C22⋊C4×C73—21no—
726C22⋊C4×C73—21no—
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C42×C73—21no—
731C42×C73C2×D411yescharacteristic
732C42×C73C2×D411yescharacteristic
733C42×C73C2411yescharacteristic
734C42×C73C2411yescharacteristic
735C23×C73—21no—
736C23×C73—21no—
737C23×C73—21no—
738C23×C73—42no—
739C23×C73—81no—
740C23×C73—81no—
741C23×C73C22×D411yescharacteristic
742C22×D73—21no—
743C22×D73—21no—
744C22×D73—42no—
745C22×D73—42no—
746C22×D73—81no—
747C22×D73—81no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73C22×D411yescharacteristic
751C22×D73C22×D411yescharacteristic
752Q8×C73—21no—
753Q8×C73—21no—
754Q8×C73—21no—
755Q8×C73—21no—
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—42no—
759D4×C73—21no—
760D4×C73—21no—
761D4×C73—21no—
762D4×C73—21no—
763D4×C73—21no—
764D4×C73—21no—
765D4×C73—42no—
766D4×C73—81no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—41no—
775C2×C4×C73—41no—
776C2×C4×C73—42no—
777C2×C4×C73—42no—
778C2×C4×C73C22×D411yescharacteristic
779C2×C4×C73C22×D411yescharacteristic
780C2×C4×C73C22×D411yescharacteristic
781C2×C4×C73C22×D411yescharacteristic
782C2×C4×C73C22×D411yescharacteristic
783C2×C4×C73C2511yescharacteristic
784C22⋊D73—22no—
785C22⋊D73—22no—
786C22⋊D73—42no—
787C22⋊D73—42no—
788C22⋊D73—42no—
789C22⋊D73—42no—
790C22⋊D73—42no—
791C22⋊D73—42no—
792C22⋊D73—42no—
793C22⋊D73—81no—
794C22⋊D73—81no—
795C22⋊D73—81no—
796C22⋊D73—81no—
797C22⋊D73—81no—
798C2×Dic73—21no—
799C2×Dic73—21no—
800C2×Dic73—21no—
801C2×Dic73—21no—
802C2×Dic73—21no—
803C2×Dic73—21no—
804C2×Dic73—42no—
805C2×Dic73—42no—
806C2×Dic73—42no—
807C2×Dic73—81no—
808C2×Dic73C22×D411yescharacteristic
809C2×Dic73C22×D411yescharacteristic
810C2×Dic73C22×D411yescharacteristic
811C2×Dic73C22×D411yescharacteristic
812C2×Dic73C22×D411yescharacteristic
813C2×Dic73C22×D411yescharacteristic
814D292—22no—
815D292—21no—
816D292—21no—
817D292—21no—
818D292—21no—
819D292—42no—
820D292—42no—
821D292—81no—
822D292—81no—
823C4×D73—21no—
824C4×D73—21no—
825C4×D73—41no—
826C4×D73—41no—
827C4×D73—41no—
828C4×D73—41no—
829C4×D73—42no—
830C4×D73—42no—
831C4×D73—42no—
832C4×D73—42no—
833C4×D73—42no—
834C4×D73—42no—
835C4×D73—42no—
836C4×D73—81no—
837C4×D73H(5,𝔽2)12yes—
838C4×D73H(5,𝔽2)12yes—
839Dic146—22no—
840Dic146—21no—
841Dic146—21no—
842Dic146—21no—
843Dic146—21no—
844Dic146—21no—
845Dic146—21no—
846Dic146—21no—
847Dic146—21no—
848Dic146—42no—
849Dic146—42no—
850Dic146—42no—
851Dic146—81no—
852Dic146—81no—
853C8×C73—21no—
854C8×C73—21no—
855C8×C73—21no—
856C8×C73—21no—
857#10596831—21no—
858#10596831—21no—
859#10596831—21no—
860#10596831—21no—
861C22×C73—21no—
862C22×C73—21no—
863C22×C73—21no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73—41no—
867C22×C73—41no—
868C22×C73—41no—
869C22×C73—41no—
870C22×C73—41no—
871C22×C73—41no—
872C22×C73—41no—
873C22×C73—162no—
874C22×C73C23×D411yescharacteristic
875C2×D73—21no—
876C2×D73—21no—
877C2×D73—21no—
878C2×D73—21no—
879C2×D73—21no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—41no—
886C2×D73—162no—
887C2×D73—162no—
888C2×D73#53512yes—
889C4×C73—21no—
890C4×C73—21no—
891C4×C73—21no—
892C4×C73—21no—
893C4×C73—21no—
894C4×C73—41no—
895C4×C73—41no—
896C4×C73—41no—
897C4×C73—41no—
898C4×C73—41no—
899C4×C73C2×H(5,𝔽2)11yescharacteristic
900C4×C73C2×H(5,𝔽2)11yescharacteristic
901Dic73—21no—
902Dic73—21no—
903Dic73—21no—
904Dic73—21no—
905Dic73—21no—
906Dic73—41no—
907Dic73—41no—
908Dic73—41no—
909Dic73—41no—
910Dic73—41no—
911Dic73—41no—
912Dic73#53512yes—
913#60835—731nomaximal, Sylow
914C2×C73—41no—
915C2×C73—81no—
916C2×C73—81no—
917C2×C73—81no—
918C2×C73C2×#53511yescharacteristic
919C2×C73#358411yescharacteristic
920C2×C73#358611yescharacteristic
921D73—22no—
922D73—41no—
923D73—81no—
924D73—81no—
925#3500—731no—
926#3461—731no—
927#3225—731no—
928#3225—731no—
929#3224—731no—
930#3224—731no—
931#3223—731no—
932#3223—731no—
933#3222—731no—
934#3222—731no—
935#3219—731no—
936#3219—731no—
937#3215—731no—
938#3215—731no—
939#3211—731no—
940#3211D7311yescharacteristic, complemented
941#3210—731no—
942#3210—731no—
943#3156—731no—
944#3154—731no—
945#3137—731no—
946#3136—731no—
947#3040—731no—
948#3037—731no—
949#3035—731no—
950C2×#464—731no—
951#3013—731no—
952#3012—731no—
953#3011—731no—
954#3009—731no—
955#2925—731no—
956C73#6083511yescharacteristic, complemented, Sylow
957C2×2−1+4—731no—
958C2×H(5,𝔽2)—731no—
959C2×#137—731no—
960C2×#137—731no—
961C2×#137—731no—
962C2×AGL(1,ℤ/8)—731no—
963C2×#135—731no—
964C2×#135—731no—
965C22×Q16—731no—
966C22×SD16—731no—
967#548—1461no—
968#548—1461no—
969#546—1461no—
970#546—1461no—
971#546—1461no—
972#546—1461no—
973#546—1461no—
974#546—1461no—
975#544—731no—
976#542—731no—
977#542—731no—
978#542—1461no—
979#541—731no—
980#541—731no—
981#541—1461no—
982#539—1461no—
983#539—1461no—
984#537—731no—
985#536—731no—
986#536—731no—
987#536—731no—
988#536—731no—
989#536—731no—
990#535—731no—
991#535—731no—
992#535—731no—
993#533—731no—
994#533—731no—
995#533—1461no—
996#532—731no—
997#532—731no—
998#532—731no—
999#529—731no—
1000#529—1461no—
1001#529—1461no—
1002#529—1461no—
1003#529C2×D7311yescharacteristic, complemented
1004C2×#124—731no—
1005C2×#124—731no—
1006C2×#124C2×D7311yescharacteristic
1007C4×#41—731no—
1008C4×#41—731no—
1009C2×C4×Q8—731no—
1010#497—731no—
1011#497—731no—
1012#497—731no—
1013#497—731no—
1014#497—731no—
1015#497—731no—
1016#496—731no—
1017#496—731no—
1018#495—731no—
1019#495—731no—
1020#495C2×D7311yescharacteristic, complemented
1021#495C2×D7311yescharacteristic, complemented
1022#494—731no—
1023#494—731no—
1024#492—731no—
1025#492—731no—
1026#491—731no—
1027#491—731no—
1028#490—731no—
1029#490—731no—
1030#489—731no—
1031#489—731no—
1032#489—731no—
1033#489—731no—
1034#488—731no—
1035#488—731no—
1036#488C2×D7311yescharacteristic, complemented
1037#488C2×D7311yescharacteristic, complemented
1038#487—731no—
1039#487—731no—
1040#486—731no—
1041#486—731no—
1042#464—731no—
1043#464—731no—
1044#464—731no—
1045#464—731no—
1046#464—731no—
1047#464—731no—
1048#464—731no—
1049#464—731no—
1050#464—731no—
1051#464—731no—
1052#464—731no—
1053#464—731no—
1054#464—731no—
1055#464—731no—
1056#464—731no—
1057#464—731no—
1058#464C2×D7311yescharacteristic, complemented
1059#464C2×D7311yescharacteristic, complemented
1060#463—731no—
1061#463—731no—
1062#463—731no—
1063#463—731no—
1064#463C2×D7311yescharacteristic, complemented
1065#463C2×D7311yescharacteristic, complemented
1066#462—731no—
1067#462—731no—
1068#462—731no—
1069#461—731no—
1070#460—731no—
1071#460—731no—
1072#460—731no—
1073#459—731no—
1074#452—731no—
1075#452—731no—
1076#452—731no—
1077#452—731no—
1078#452—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#452—731no—
1084#452—731no—
1085#452—731no—
1086#451—731no—
1087#451—731no—
1088#451—731no—
1089#451—731no—
1090#451—731no—
1091#451C2×D7311yescharacteristic, complemented
1092#450—731no—
1093#450—731no—
1094#450—731no—
1095#450—731no—
1096#450—731no—
1097#450C2×D7311yescharacteristic
1098#449—731no—
1099#449—731no—
1100#449—731no—
1101#449—731no—
1102#448—731no—
1103#448C2×D7311yescharacteristic, complemented
1104#447—731no—
1105#447C2×D7311yescharacteristic
1106#433—731no—
1107#433—731no—
1108#433—731no—
1109#433—731no—
1110#432—731no—
1111#432—731no—
1112#431—731no—
1113#431C2×D7311yescharacteristic, complemented
1114#423—731no—
1115C2×C4⋊C8—731no—
1116#419—731no—
1117#418—731no—
1118#417—731no—
1119#417—731no—
1120#416—731no—
1121#416—731no—
1122C2×#103—731no—
1123C2×#102—731no—
1124#408—731no—
1125#408—731no—
1126#405—731no—
1127#405—731no—
11282−1+4—2922no—
11292−1+4—2922no—
1130H(5,𝔽2)—2922no—
1131H(5,𝔽2)—2922no—
1132C2×#41—731no—
1133C2×#41—731no—
1134C2×#41—731no—
1135C2×#41—731no—
1136C2×#41—731no—
1137C2×#41—731no—
1138C2×#41—731no—
1139C2×#41—731no—
1140C2×#41—1461no—
1141C2×#41—1461no—
1142C2×#41—1461no—
1143C2×#41—1461no—
1144C22×Q8—731no—
1145C22×Q8—731no—
1146C22×Q8—731no—
1147C22×Q8—1461no—
1148C22×Q8C22×D7311yescharacteristic
1149C22×D4—731no—
1150C22×D4—731no—
1151C22×D4—1461no—
1152C22×D4—1461no—
1153C22×D4—1461no—
1154C22×D4C22×D7311yescharacteristic
1155#137—2922no—
1156#137—2922no—
1157#137—2922no—
1158AGL(1,ℤ/8)—2922no—
1159#135—2922no—
1160#135—2922no—
1161C2×Q16—2922no—
1162C2×Q16—731no—
1163C2×Q16—731no—
1164C2×Q16—731no—
1165C2×Q16—731no—
1166C2×Q16—731no—
1167C2×Q16—731no—
1168C2×Q16—731no—
1169C2×Q16—731no—
1170C2×Q16—731no—
1171C2×Q16—731no—
1172C2×Q16C22×D7311yescharacteristic
1173C2×Q16C22×D7311yescharacteristic
1174C2×SD16—2922no—
1175C2×SD16—731no—
1176C2×SD16—731no—
1177C2×SD16—731no—
1178C2×SD16—731no—
1179C2×SD16—731no—
1180C2×SD16—731no—
1181C2×SD16—731no—
1182C2×SD16—731no—
1183C2×SD16—731no—
1184C2×SD16—731no—
1185C2×SD16—731no—
1186C2×SD16—731no—
1187C2×SD16C22×D7311yescharacteristic
1188C2×SD16C22×D7311yescharacteristic
1189C2×SD16C22×D7311yescharacteristic
1190C2×SD16C22×D7311yescharacteristic
1191C2×D8—731no—
1192C2×D8—731no—
1193C2×D8C22×D7311yescharacteristic
1194C2×D8C22×D7311yescharacteristic
1195C2×M16—731no—
1196C2×M16—731no—
1197C22×C8—731no—
1198C22×C8—731no—
1199C4⋊Q8—731no—
1200C4⋊Q8—731no—
1201C4⋊Q8—731no—
1202C4⋊Q8—731no—
1203C4⋊Q8—731no—
1204C4⋊Q8—731no—
1205C4⋊Q8—731no—
1206C4⋊Q8—1461no—
1207C4⋊Q8—1461no—
1208#127—731no—
1209#127—731no—
1210#127—731no—
1211#126—21no—
1212#126—1461no—
1213#126—1461no—
1214#126—1461no—
1215#126—1461no—
1216#126—1461no—
1217#126—1461no—
1218#126—1461no—
1219#125—731no—
1220#125—1461no—
1221#125—1461no—
1222#125—1461no—
1223#125—1461no—
1224#125—1461no—
1225#125—1461no—
1226#125—1461no—
1227#125C22×D7311yescharacteristic
1228#124—21no—
1229#124—21no—
1230#124—731no—
1231#124—731no—
1232#124—731no—
1233#124—731no—
1234#124—731no—
1235#124—731no—
1236#124—731no—
1237#124—1461no—
1238#124—1461no—
1239#124—1461no—
1240#124—1461no—
1241#124—1461no—
1242#124—1461no—
1243#124—1461no—
1244#124C22×D7311yescharacteristic
1245#124C22×D7311yescharacteristic
1246#124C22×D7311yescharacteristic
1247#124C22×D7311yescharacteristic
1248#124C22×D7311yescharacteristic
1249#123—21no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254#123—1461no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—731no—
1267C22⋊Q8—731no—
1268C22⋊Q8—1461no—
1269C22⋊Q8—1461no—
1270C22⋊Q8—1461no—
1271C22⋊Q8—1461no—
1272C22⋊Q8—1461no—
1273C22⋊Q8—1461no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8C22×D7311yescharacteristic
1284#121—731no—
1285#121—1461no—
1286#121—1461no—
1287#121—1461no—
1288#121—1461no—
1289#121—1461no—
1290#121—1461no—
1291#121—1461no—
1292#121—1461no—
1293#121—1461no—
1294#121—1461no—
1295#121—1461no—
1296#121—1461no—
1297#121—1461no—
1298#121—1461no—
1299#121—1461no—
1300#121C22×D7311yescharacteristic
1301#120—1461no—
1302#120—1461no—
1303#120—1461no—
1304#120—1461no—
1305#120—1461no—
1306#120—1461no—
1307C4×Q8—731no—
1308C4×Q8—731no—
1309C4×Q8—731no—
1310C4×Q8—731no—
1311C4×Q8—731no—
1312C4×Q8—731no—
1313C4×Q8—731no—
1314C4×Q8—1461no—
1315C4×Q8—1461no—
1316C4×Q8—1461no—
1317C4×Q8—1461no—
1318C4×Q8C22×D7311yescharacteristic
1319C4×D4—21no—
1320C4×D4—731no—
1321C4×D4—731no—
1322C4×D4—731no—
1323C4×D4—731no—
1324C4×D4—731no—
1325C4×D4—731no—
1326C4×D4—731no—
1327C4×D4—1461no—
1328C4×D4—1461no—
1329C4×D4—1461no—
1330C4×D4—1461no—
1331C4×D4—1461no—
1332C4×D4—1461no—
1333C4×D4—1461no—
1334C4×D4—1461no—
1335C4×D4—1461no—
1336C4×D4C22×D7311yescharacteristic
1337#117—21no—
1338#117—731no—
1339#117—731no—
1340#117—731no—
1341#117—731no—
1342#117—1461no—
1343#117—1461no—
1344#117—1461no—
1345#117—1461no—
1346C2×C4⋊C4—731no—
1347C2×C4⋊C4—1461no—
1348C2×C22⋊C4—21no—
1349C2×C22⋊C4—21no—
1350C2×C22⋊C4—1461no—
1351C2×C22⋊C4—1461no—
1352C2×C22⋊C4—1461no—
1353C2×C22⋊C4—1461no—
1354C2×C42—731no—
1355C2×C42—731no—
1356C2×C42—1461no—
1357C2×C42—1461no—
1358C2×C42C22×D7311yescharacteristic
1359C4⋊C8—731no—
1360C4⋊C8—731no—
1361C4⋊C8—731no—
1362C4⋊C8—731no—
1363C4⋊C8—731no—
1364C4⋊C8—731no—
1365C4⋊C8C22×D7311yescharacteristic
1366C4⋊C8C22×D7311yescharacteristic
1367#103—731no—
1368#103—731no—
1369#103—731no—
1370#103—731no—
1371#103—731no—
1372#103—731no—
1373#103—731no—
1374#103—731no—
1375#103—731no—
1376#103—731no—
1377#103—731no—
1378#103—731no—
1379#103C22×D7311yescharacteristic
1380#103C22×D7311yescharacteristic
1381#103C22×D7311yescharacteristic
1382#103C22×D7311yescharacteristic
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102C22×D7311yescharacteristic
1396#102C22×D7311yescharacteristic
1397#102C22×D7311yescharacteristic
1398#102C22×D7311yescharacteristic
1399C22⋊C8—731no—
1400C22⋊C8—731no—
1401C22⋊C8—731no—
1402C22⋊C8—731no—
1403C22⋊C8—731no—
1404C22⋊C8—731no—
1405C22⋊C8C22×D7311yescharacteristic
1406C22⋊C8C22×D7311yescharacteristic
1407#97—731no—
1408#97—731no—
1409#97—731no—
1410#97—731no—
1411C4×C8—731no—
1412C4×C8—731no—
1413C4×C8C22×D7311yescharacteristic
1414C4×C8C22×D7311yescharacteristic
1415C24—21no—
1416C24—1461no—
1417C24—1461no—
1418#41—2921no—
1419#41—2921no—
1420#41—2921no—
1421#41—2921no—
1422#41—2924no—
1423#41—2924no—
1424#41—2924no—
1425#41—2924no—
1426#41—2921no—
1427#41—2921no—
1428#41—2921no—
1429#41—2921no—
1430#41—1462no—
1431#41—1462no—
1432#41—1462no—
1433#41—1462no—
1434#41—1462no—
1435#41—1462no—
1436#41—1462no—
1437#41—1462no—
1438C2×Q8—21no—
1439C2×Q8—41no—
1440C2×Q8—41no—
1441C2×Q8—2924no—
1442C2×Q8—2921no—
1443C2×Q8—2921no—
1444C2×Q8—731no—
1445C2×Q8—731no—
1446C2×Q8—731no—
1447C2×Q8—731no—
1448C2×Q8—731no—
1449C2×Q8—1461no—
1450C2×Q8—1461no—
1451C2×Q8—1461no—
1452C2×Q8—1461no—
1453C2×Q8—1462no—
1454C2×Q8—1462no—
1455C2×Q8—1462no—
1456C2×Q8—1462no—
1457C2×Q8—1461no—
1458C2×Q8C23×D7311yescharacteristic
1459C2×Q8C23×D7311yescharacteristic
1460C2×Q8C23×D7311yescharacteristic
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—41no—
1464C2×D4—41no—
1465C2×D4—2924no—
1466C2×D4—2924no—
1467C2×D4—2924no—
1468C2×D4—2921no—
1469C2×D4—2921no—
1470C2×D4—731no—
1471C2×D4—731no—
1472C2×D4—731no—
1473C2×D4—731no—
1474C2×D4—731no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1462no—
1478C2×D4—1462no—
1479C2×D4—1461no—
1480C2×D4—1461no—
1481C2×D4—1461no—
1482C2×D4—1461no—
1483C2×D4—1461no—
1484C2×D4—1461no—
1485C2×D4—1461no—
1486C2×D4—1461no—
1487C2×D4—1461no—
1488C2×D4—1461no—
1489C2×D4—1461no—
1490C2×D4—1461no—
1491C2×D4—1461no—
1492C2×D4—1461no—
1493C2×D4C23×D7311yescharacteristic
1494C2×D4C23×D7311yescharacteristic
1495C2×D4C23×D7311yescharacteristic
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—731no—
1499C22×C4—731no—
1500C22×C4—731no—
1501C22×C4—731no—
1502C22×C4—731no—
1503C22×C4—731no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4—1461no—
1515C22×C4—1461no—
1516C22×C4D4×D7311yescharacteristic
1517C22×C4D4×D7311yescharacteristic
1518C22×C4C23×D7311yescharacteristic
1519Q16—41no—
1520Q16—41no—
1521Q16—2921no—
1522Q16—2921no—
1523Q16—2921no—
1524Q16—2921no—
1525Q16—2921no—
1526Q16—2921no—
1527Q16—2921no—
1528Q16—2921no—
1529Q16—2921no—
1530Q16—2921no—
1531SD16—41no—
1532SD16—41no—
1533SD16—41no—
1534SD16—41no—
1535SD16—2921no—
1536SD16—2921no—
1537SD16—2921no—
1538SD16—2921no—
1539SD16—2921no—
1540SD16—2921no—
1541SD16—2921no—
1542SD16—2921no—
1543SD16—2921no—
1544SD16—2921no—
1545SD16—2921no—
1546SD16—2921no—
1547D8—41no—
1548D8—41no—
1549D8—2921no—
1550D8—2921no—
1551M16—1462no—
1552M16—1462no—
1553C2×C8—731no—
1554C2×C8—731no—
1555C2×C8—731no—
1556C2×C8—731no—
1557C2×C8—1462no—
1558C2×C8—1462no—
1559C2×C8C23×D7311yescharacteristic
1560C2×C8C23×D7311yescharacteristic
1561C2×C8C23×D7311yescharacteristic
1562C2×C8C23×D7311yescharacteristic
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—731no—
1568C4⋊C4—731no—
1569C4⋊C4—731no—
1570C4⋊C4—731no—
1571C4⋊C4—731no—
1572C4⋊C4—731no—
1573C4⋊C4—731no—
1574C4⋊C4—731no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4—1461no—
1582C4⋊C4—1461no—
1583C4⋊C4—1461no—
1584C4⋊C4—1461no—
1585C4⋊C4—1461no—
1586C4⋊C4—1461no—
1587C4⋊C4—1461no—
1588C4⋊C4—1461no—
1589C4⋊C4—1461no—
1590C4⋊C4—1461no—
1591C4⋊C4—1461no—
1592C4⋊C4—1461no—
1593C4⋊C4—1461no—
1594C4⋊C4—1461no—
1595C4⋊C4—1461no—
1596C4⋊C4—1461no—
1597C4⋊C4—1461no—
1598C4⋊C4—1461no—
1599C4⋊C4—1461no—
1600C4⋊C4C23×D7311yescharacteristic
1601C4⋊C4C23×D7311yescharacteristic
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—731no—
1616C22⋊C4—731no—
1617C22⋊C4—731no—
1618C22⋊C4—731no—
1619C22⋊C4—731no—
1620C22⋊C4—731no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4—1461no—
1629C22⋊C4—1461no—
1630C22⋊C4—1461no—
1631C22⋊C4—1461no—
1632C22⋊C4—1461no—
1633C22⋊C4—1461no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C42—21no—
1644C42—731no—
1645C42—731no—
1646C42—731no—
1647C42—731no—
1648C42—731no—
1649C42—731no—
1650C42—1461no—
1651C42—1461no—
1652C42—1461no—
1653C42—1461no—
1654C42—1461no—
1655C42—1461no—
1656C42D4×D7311yescharacteristic
1657C42D4×D7311yescharacteristic
1658C42C23×D7311yescharacteristic
1659C42C23×D7311yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—42no—
1664C23—81no—
1665C23—81no—
1666C23—2922no—
1667C23—2922no—
1668C23—5841no—
1669C23—5841no—
1670C23—5841no—
1671C23—5841no—
1672C23—731no—
1673C23—731no—
1674C23—1461no—
1675C23—1461no—
1676C23C2×D4×D7311yescharacteristic
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—42no—
1684Q8—2922no—
1685Q8—2922no—
1686Q8—2922no—
1687Q8—5841no—
1688Q8—5841no—
1689Q8—1462no—
1690Q8—1461no—
1691Q8—1461no—
1692Q8—1461no—
1693Q8—1461no—
1694Q8—1461no—
1695Q8—1461no—
1696Q8—1461no—
1697Q8—1461no—
1698D4—21no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—42no—
1705D4—81no—
1706D4—2922no—
1707D4—2922no—
1708D4—2922no—
1709D4—2922no—
1710D4—2922no—
1711D4—2922no—
1712D4—2922no—
1713D4—2922no—
1714D4—2922no—
1715D4—5841no—
1716D4—5841no—
1717D4—5841no—
1718D4—5841no—
1719D4—5841no—
1720D4—5841no—
1721D4—5841no—
1722D4—1462no—
1723D4—1462no—
1724D4—1462no—
1725D4—1461no—
1726D4—1461no—
1727D4—1461no—
1728D4—1461no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—2922no—
1741C2×C4—2922no—
1742C2×C4—2921no—
1743C2×C4—2921no—
1744C2×C4—2921no—
1745C2×C4—2921no—
1746C2×C4—2922no—
1747C2×C4—2922no—
1748C2×C4—2922no—
1749C2×C4—2922no—
1750C2×C4—2922no—
1751C2×C4—2922no—
1752C2×C4—2922no—
1753C2×C4—2922no—
1754C2×C4—5841no—
1755C2×C4—5841no—
1756C2×C4—731no—
1757C2×C4—732no—
1758C2×C4—732no—
1759C2×C4—731no—
1760C2×C4—731no—
1761C2×C4—731no—
1762C2×C4—731no—
1763C2×C4—731no—
1764C2×C4—1461no—
1765C2×C4—1461no—
1766C2×C4—1461no—
1767C2×C4—1461no—
1768C2×C4—1461no—
1769C2×C4—1461no—
1770C2×C4—1461no—
1771C2×C4—1461no—
1772C2×C4C2×D4×D7311yescharacteristic
1773C2×C4C2×D4×D7311yescharacteristic
1774C2×C4C2×D4×D7311yescharacteristic
1775C2×C4C2×D4×D7311yescharacteristic
1776C2×C4C2×D4×D7311yescharacteristic
1777C2×C4C24×D7311yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—1461no—
1783C8—1461no—
1784C8—1461no—
1785C8—1461no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—162no—
1799C22—2921no—
1800C22—2921no—
1801C22—2921no—
1802C22—2921no—
1803C22—2921no—
1804C22—2921no—
1805C22—732no—
1806C22—11682no—
1807C22—11682no—
1808C22—1461no—
1809C22—1461no—
1810C22—1461no—
1811C22—1461no—
1812C22—1461no—
1813C22C22×D4×D7311yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—21no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—2921no—
1825C4—2921no—
1826C4—2921no—
1827C4—2921no—
1828C4—2921no—
1829C4—2921no—
1830C4—732no—
1831C4—1461no—
1832C4—1461no—
1833C4—1461no—
1834C4—1461no—
1835C4—1461no—
1836C4H(5,𝔽2)×D7311yescharacteristic
1837C4H(5,𝔽2)×D7311yescharacteristic
1838C2—41no—
1839C2—81no—
1840C2—81no—
1841C2—81no—
1842C2—2921no—
1843C2—5841no—
1844C2—5841no—
1845C2—1462no—
1846C2#535×D7311yescharacteristic
1847C2#2262470011yescharacteristic
1848C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3211C2
socleC22×C73C23×D4
hypercenter#3211D73
hypocenterC73#60835
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3211

Complements

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

NH ≅ G/Ntype
1. #22623721C2semidirect
2. #22623356C2semidirect
3. #22621038C2semidirect
4. #22621033C2semidirect
5. #22621021C2semidirect
6. #22621018C2semidirect
7. #22621017C2semidirect
8. #22621010C2semidirect
9. #22621006C2semidirect
10. #22620999C2semidirect
11. #22620967C2semidirect
12. #22620964C2semidirect
13. #22620934C2semidirect
14. #22620932C2semidirect
15. #22620894C2semidirect
16. #22620889C2semidirect
17. #22620886C2semidirect
18. #22620421C2semidirect
19. #22620402C2semidirect
20. #22620295C2semidirect
21. #22620284C2semidirect
22. #22619420C2semidirect
23. #22619401C2semidirect
24. #22619383C2semidirect
25. #464×D73C2semidirect
26. #22619241C2semidirect
27. #22619230C2semidirect
28. #22619221C2semidirect
29. #22619203C2semidirect
30. #22618592C2semidirect
31. C73×#3211C2semidirect
34. C2×#14556623C22semidirect
36. C2×#14556620C22semidirect
38. C2×#14556612C22semidirect
40. C2×Q16×D73C22semidirect
50. #17989217C22semidirect
51. #17989206C22semidirect
53. #17989204C22semidirect
54. #17989200C22semidirect
55. #17989197C22semidirect
64. #17989157C22semidirect
68. #17989144C22semidirect
69. #17989141C22semidirect
75. #17989119C22semidirect
81. C4×#11924027C22semidirect
82. C4×Q8×D73C22semidirect
83. #17988982C22semidirect
84. #17988982C22semidirect
85. #17988982C22semidirect
86. #17988980C22semidirect
87. #17988978C22semidirect
88. #17988978C22semidirect
89. #17988977C22semidirect
90. #17988975C22semidirect
91. #17988970C22semidirect
92. #17988968C22semidirect
93. #17988967C22semidirect
94. #17988965C22semidirect
95. #17988960C22semidirect
96. #17988958C22semidirect
97. #17988957C22semidirect
98. #17988954C22semidirect
99. #17988953C22semidirect
100. #17988950C22semidirect
101. #17988948C22semidirect
102. #17988946C22semidirect
103. #17988946C22semidirect
104. #17988945C22semidirect
105. #17988943C22semidirect
106. #17988940C22semidirect
107. #17988938C22semidirect
108. #17988936C22semidirect
109. #17988934C22semidirect
110. #17988932C22semidirect
111. #17988812C22semidirect
112. #17988812C22semidirect
113. #17988811C22semidirect
114. #17988810C22semidirect
115. #17988810C22semidirect
116. #17988810C22semidirect
117. #17988810C22semidirect
118. #17988809C22semidirect
119. #17988809C22semidirect
120. #17988808C22semidirect
121. #17988808C22semidirect
122. #17988807C22semidirect
123. #17988806C22semidirect
124. #17988806C22semidirect
125. #17988806C22semidirect
126. #17988806C22semidirect
127. #17988804C22semidirect
128. #17988802C22semidirect
129. #17988802C22semidirect
130. #17988800C22semidirect
131. #17988796C22semidirect
132. #17988796C22semidirect
133. #17988795C22semidirect
134. #17988790C22semidirect
135. #17988786C22semidirect
136. #17988786C22semidirect
137. #17988785C22semidirect
138. #17988780C22semidirect
139. #17988752C22semidirect
140. #17988752C22semidirect
143. #17988751C22semidirect
144. #17988751C22semidirect
147. #17988748C22semidirect
149. #17988747C22semidirect
151. #17988744C22semidirect
152. #17988744C22semidirect
153. #17988743C22semidirect
154. #17988743C22semidirect
155. #17988741C22semidirect
161. #17988731C22semidirect
163. #17988730C22semidirect
165. #17988724C22semidirect
167. #17988646C22semidirect
168. #17988646C22semidirect
169. #17988645C22semidirect
170. #17988645C22semidirect
171. #17988644C22semidirect
172. #17988643C22semidirect
173. #17988639C22semidirect
174. #17988609C22semidirect
175. C4⋊C8×D73C22semidirect
176. #17988594C22semidirect
178. #17988587C22semidirect
180. #17988582C22semidirect
182. #103×D73C22semidirect
186. #17988541C22semidirect
187. #17988541C22semidirect
188. #529×C73C22semidirect
190. #495×C73C22semidirect
191. #495×C73C22semidirect
192. #488×C73C22semidirect
193. #488×C73C22semidirect
194. #464×C73C22semidirect
195. #464×C73C22semidirect
196. #463×C73C22semidirect
197. #463×C73C22semidirect
198. #451×C73C22semidirect
200. #448×C73C22semidirect
202. #431×C73C22semidirect
940. #3211D73semidirect
956. C73#60835semidirect
1003. #529C2×D73semidirect
1020. #495C2×D73semidirect
1021. #495C2×D73semidirect
1036. #488C2×D73semidirect
1037. #488C2×D73semidirect
1058. #464C2×D73semidirect
1059. #464C2×D73semidirect
1064. #463C2×D73semidirect
1065. #463C2×D73semidirect
1091. #451C2×D73semidirect
1103. #448C2×D73semidirect
1113. #431C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237212
#226233562
#226210382
#226210332
#226210212
#226210182
#226210172
#226210102
#226210062
#226209992
#226209672
#226209642
#226209342
#226209322
#226208942
#226208892
#226208862
#226204212
#226204022
#226202952
#226202842
#226194202
#226194012
#226193832
#464×D732
#226192412
#226192302
#226192212
#226192032
#226185922
C73×#32112
#6083573