Finite Group Databasebeta

← #33982941

Subgroups — #33982941

Order 18688.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624532C211yesmaximal, characteristic, complemented
2#22623950C211yesmaximal, characteristic
3#22622880C211yesmaximal, characteristic, complemented
4#22622877C211yesmaximal, characteristic, complemented
5#22622664C211yesmaximal, characteristic, complemented
6#22622657C211yesmaximal, characteristic, complemented
7#22622444C211yesmaximal, characteristic, complemented
8#22622441C211yesmaximal, characteristic, complemented
9#22622422C211yesmaximal, characteristic, complemented
10#22622418C211yesmaximal, characteristic, complemented
11#22622314C211yesmaximal, characteristic, complemented
12#22622310C211yesmaximal, characteristic, complemented
13#22621956C211yesmaximal, characteristic, complemented
14#22621953C211yesmaximal, characteristic, complemented
15#22621948C211yesmaximal, characteristic, complemented
16#22621755C211yesmaximal, characteristic, complemented
17#22621748C211yesmaximal, characteristic, complemented
18#22621375C211yesmaximal, characteristic, complemented
19#22621373C211yesmaximal, characteristic, complemented
20#22621242C211yesmaximal, characteristic, complemented
21#22621190C211yesmaximal, characteristic, complemented
22#22621179C211yesmaximal, characteristic, complemented
23#22621118C211yesmaximal, characteristic, complemented
24#22620182C211yesmaximal, characteristic, complemented
25#22620177C211yesmaximal, characteristic, complemented
26#22620025C211yesmaximal, characteristic, complemented
27#22619764C211yesmaximal, characteristic, complemented
28#22619759C211yesmaximal, characteristic, complemented
29C2×#17988885C211yesmaximal, characteristic, complemented
30#22619071C211yesmaximal, characteristic, complemented
31C73×#3310C211yesmaximal, characteristic, complemented
32C73⋊#564—21no—
33#17989339—21no—
34#17989316C2211yescharacteristic, complemented
35#17989314C2211yescharacteristic, complemented
36#17989301C2211yescharacteristic
37#17989296C2211yescharacteristic
38#17989295C2211yescharacteristic, complemented
39#17989294C2211yescharacteristic, complemented
40#17989289C2211yescharacteristic
41#17989283C2211yescharacteristic
42#17989280—21no—
43#17989279C2211yescharacteristic, complemented
44#17989276C2211yescharacteristic, complemented
45#17989274—21no—
46#17989272C2211yescharacteristic, complemented
47#17989270—21no—
48#17989257C2211yescharacteristic
49#17989231—21no—
50#17989224—21no—
51#17989224—21no—
52D4×C22⋊D73C2211yescharacteristic
53D4×C22⋊D73C2211yescharacteristic
54#17989217C2211yescharacteristic, complemented
55#17989215—21no—
56#17989215C2211yescharacteristic, complemented
57#17989200—21no—
58#17989197C2211yescharacteristic, complemented
59#17989195C2211yescharacteristic, complemented
60#17989194—21no—
61#17989191C2211yescharacteristic
62#17989190C2211yescharacteristic
63#17989181—21no—
64#17989174—21no—
65#17989172—21no—
66#17989139C2211yescharacteristic, complemented
67#17989132C2211yescharacteristic
68#17989117C2211yescharacteristic
69C2×#14556582C2211yescharacteristic, complemented
70#17989093—21no—
71C2×#14556563—21no—
72#17989062C2211yescharacteristic
73#17989059C2211yescharacteristic
74C2×D4×Dic73C2211yescharacteristic
75#17988996C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988986C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic, complemented
82#17988950C2211yescharacteristic, complemented
83#17988950C2211yescharacteristic, complemented
84#17988933C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic, complemented
86#17988930C2211yescharacteristic, complemented
87#17988929C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988923C2211yescharacteristic, complemented
91#17988920C2211yescharacteristic, complemented
92#17988911C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988906C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic, complemented
97#17988903C2211yescharacteristic, complemented
98#17988903C2211yescharacteristic, complemented
99#17988901C2211yescharacteristic, complemented
100#17988900C2211yescharacteristic, complemented
101#17988899C2211yescharacteristic, complemented
102#17988896C2211yescharacteristic, complemented
103#17988895C2211yescharacteristic, complemented
104#17988894C2211yescharacteristic, complemented
105#17988893C2211yescharacteristic, complemented
106#17988890C2211yescharacteristic, complemented
107#17988890C2211yescharacteristic, complemented
108#17988889C2211yescharacteristic
109#17988889C2211yescharacteristic, complemented
110#17988889C2211yescharacteristic, complemented
111#17988885C2211yescharacteristic
112#17988885C2211yescharacteristic
113#17988885C2211yescharacteristic
114#17988885C2211yescharacteristic
115#17988885C2211yescharacteristic, complemented
116#17988885C2211yescharacteristic, complemented
117#17988885C2211yescharacteristic, complemented
118#17988885C2211yescharacteristic, complemented
119#17988885C2211yescharacteristic, complemented
120#17988884C2211yescharacteristic, complemented
121#17988877C2211yescharacteristic
122#17988876C2211yescharacteristic, complemented
123#17988875C2211yescharacteristic
124#17988875C2211yescharacteristic, complemented
125#17988871C2211yescharacteristic, complemented
126#17988870C2211yescharacteristic, complemented
127#17988868C2211yescharacteristic, complemented
128#17988865C2211yescharacteristic
129#17988865C2211yescharacteristic, complemented
130#17988865C2211yescharacteristic, complemented
131#17988833C2211yescharacteristic, complemented
132#17988832C2211yescharacteristic, complemented
133#17988830C2211yescharacteristic, complemented
134#17988818C2211yescharacteristic, complemented
135#17988818C2211yescharacteristic, complemented
136#17988816C2211yescharacteristic, complemented
137#17988815C2211yescharacteristic, complemented
138#17988814C2211yescharacteristic, complemented
139#17988814C2211yescharacteristic, complemented
140#17988813C2211yescharacteristic, complemented
141#17988791C2211yescharacteristic, complemented
142#17988790C2211yescharacteristic
143#17988790C2211yescharacteristic, complemented
144#17988790C2211yescharacteristic, complemented
145#17988786C2211yescharacteristic, complemented
146#17988786C2211yescharacteristic, complemented
147#17988785C2211yescharacteristic, complemented
148#17988785C2211yescharacteristic, complemented
149#17988784C2211yescharacteristic, complemented
150#17988739C2211yescharacteristic
151#17988738C2211yescharacteristic
152#17988738C2211yescharacteristic
153#17988736C2211yescharacteristic
154#17988715C2211yescharacteristic, complemented
155#17988714C2211yescharacteristic, complemented
156#17988689C2211yescharacteristic, complemented
157#17988688C2211yescharacteristic
158#17988688C2211yescharacteristic, complemented
159#17988688C2211yescharacteristic, complemented
160#17988684C2211yescharacteristic
161#17988684C2211yescharacteristic
162#17988684C2211yescharacteristic, complemented
163#17988678C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic
165C4×#11924015C2211yescharacteristic, complemented
166C4×#11924016C2211yescharacteristic
167#17988658C2211yescharacteristic, complemented
168#17988656C2211yescharacteristic, complemented
169#17988655C2211yescharacteristic, complemented
170D4×#10596831C2211yescharacteristic, complemented
171#17988650C2211yescharacteristic, complemented
172#17988649C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988629C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic, complemented
177#17988624C2211yescharacteristic, complemented
178#17988623C2211yescharacteristic, complemented
179C2×#14556525C2211yescharacteristic, complemented
180C2×#14556522C2211yescharacteristic, complemented
181#17988615C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183C2×#14556520C2211yescharacteristic, complemented
184#17988590C2211yescharacteristic
185C2×#14556512C2211yescharacteristic
186C2×#14556512C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#552×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924027—21no—
204C2×#11924027—21no—
205C22×C22⋊D73—21no—
206C22×C22⋊D73—21no—
207C2×D4×D73C2311yescharacteristic
208C23×Dic73—21no—
209C2×#11924017C2311yescharacteristic
210C2×#11924016C2311yescharacteristic
211C2×#11924016C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×#11924015C2311yescharacteristic
214C2×#11924011C2311yescharacteristic
215C22×#10596831C2311yescharacteristic
216C22×#10596831C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218#14556591—21no—
219#14556591—21no—
220#14556591C2311yescharacteristic
221#14556590—21no—
222#14556590—21no—
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556589C2311yescharacteristic
227#14556587C2311yescharacteristic
228#14556587C2311yescharacteristic
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586D411yescharacteristic
234#14556585—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584D411yescharacteristic
240#14556583—21no—
241#14556583—21no—
242#14556583—21no—
243#14556583C2311yescharacteristic
244#14556582—21no—
245#14556582—21no—
246#14556582—21no—
247#14556582—21no—
248#14556582—21no—
249#14556582—21no—
250#14556582—21no—
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556582C2311yescharacteristic
255#14556582C2311yescharacteristic
256#14556582C2311yescharacteristic
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556581—21no—
262#14556581—21no—
263#14556581—21no—
264#14556581—21no—
265#14556581D411yescharacteristic
266#14556578—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577D411yescharacteristic
270#14556575—21no—
271#14556575—21no—
272#14556575—21no—
273#14556575D411yescharacteristic
274#14556574—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556572—21no—
279#14556572—21no—
280#14556572D411yescharacteristic
281#14556571—21no—
282#14556571—21no—
283#14556571C2311yescharacteristic
284#14556570—21no—
285#14556570C2311yescharacteristic
286#14556570C2311yescharacteristic
287#14556569—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568D411yescharacteristic
297#14556567C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556565C2311yescharacteristic
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563D411yescharacteristic
312#14556562—21no—
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556560—21no—
317#14556560—21no—
318#14556559—21no—
319#14556559—21no—
320Q8×Dic73C2311yescharacteristic
321Q8×Dic73C2311yescharacteristic
322C4×Dic146—21no—
323C4×Dic146C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325#14556556—21no—
326#14556556—21no—
327#14556556C2311yescharacteristic
328#14556556C2311yescharacteristic
329C4×D292C2311yescharacteristic
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343#14556553C2311yescharacteristic
344C4×C22⋊D73—21no—
345C4×C22⋊D73C2311yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556550—21no—
352#14556550C2311yescharacteristic
353#14556550C2311yescharacteristic
354#14556549C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556548—21no—
357#14556548C2311yescharacteristic
358#14556547—21no—
359#14556547—21no—
360#14556547—21no—
361C2×C4⋊Dic73—21no—
362C2×C4⋊Dic73C2311yescharacteristic
363C2×C4⋊Dic73C2311yescharacteristic
364C2×C4⋊Dic73C2311yescharacteristic
365C2×#11924007—21no—
366C2×#11924007—21no—
367C4⋊C4×D73C2311yescharacteristic
368C2×C22⋊Dic73—21no—
369C2×C22⋊Dic73—21no—
370C2×C22⋊Dic73—21no—
371C2×#11924005—21no—
372C22⋊C4×D73—21no—
373C2×C4×Dic73C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C22×D4×C73—21no—
436C22×D4×C73C2311yescharacteristic
437C22×D4×C73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×M16×C73C2311yescharacteristic
442C22×C8×C73C2311yescharacteristic
443#127×C73C2311yescharacteristic
444#126×C73—21no—
445#125×C73—21no—
446#125×C73C2311yescharacteristic
447#123×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453#120×C73—21no—
454#120×C73—21no—
455C4×Q8×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#102×C73C2311yescharacteristic
467#102×C73C2311yescharacteristic
468#102×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478C23×D73—21no—
479#11924027—82no—
480#11924027—82no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146C2×D411yescharacteristic
486C2×Dic146C2411yescharacteristic
487C2×D292C2411yescharacteristic
488C2×C22⋊D73—21no—
489C2×C22⋊D73—21no—
490C2×C22⋊D73—21no—
491C2×C22⋊D73—21no—
492C2×C22⋊D73—21no—
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—82no—
498C2×C22⋊D73—82no—
499C2×C22⋊D73C2×D411yescharacteristic
500C2×C22⋊D73C2×D411yescharacteristic
501D4×D73—22no—
502D4×D73—41no—
503C22×Dic73—21no—
504C22×Dic73—21no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—82no—
514C22×Dic73C2×D411yescharacteristic
515C22×Dic73C2×D411yescharacteristic
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73C2411yescharacteristic
520#11924017—41no—
521#11924016—22no—
522#11924016—41no—
523#11924016—41no—
524#11924015—41no—
525#11924011—41no—
526C2×#10596831—41no—
527C2×#10596831—41no—
528C2×#10596831C2411yescharacteristic
529C2×#10596831C2411yescharacteristic
530C2×#10596831C2411yescharacteristic
531C2×#10596831C2411yescharacteristic
532C8×D73—41no—
533C4⋊Dic73—21no—
534C4⋊Dic73—21no—
535C4⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73C2×D411yescharacteristic
547C4⋊Dic73C2×D411yescharacteristic
548C4⋊Dic73C2×D411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579#11924007C2×D411yescharacteristic
580#11924007C2×D411yescharacteristic
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73C2×D411yescharacteristic
594C22⋊Dic73C2×D411yescharacteristic
595C22⋊Dic73C2×D411yescharacteristic
596C22⋊Dic73C2×D411yescharacteristic
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73C2×D411yescharacteristic
618C4×Dic73C2×D411yescharacteristic
619C4×Dic73C2411yescharacteristic
620C4×Dic73C2411yescharacteristic
621C4×Dic73C2411yescharacteristic
622C24×C73—21no—
623C24×C73—21no—
624C2×Q8×C73C2411yescharacteristic
625C2×D4×C73—22no—
626C2×D4×C73—22no—
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73—21no—
631C2×D4×C73—21no—
632C2×D4×C73—21no—
633C2×D4×C73—41no—
634C2×D4×C73—41no—
635C2×D4×C73—82no—
636C2×D4×C73C2×D411yescharacteristic
637C2×D4×C73C2411yescharacteristic
638C2×D4×C73C2411yescharacteristic
639C2×D4×C73C2411yescharacteristic
640C22×C4×C73—21no—
641C22×C4×C73—21no—
642C22×C4×C73C2411yescharacteristic
643C22×C4×C73C2411yescharacteristic
644SD16×C73—22no—
645SD16×C73—41no—
646SD16×C73—41no—
647M16×C73—41no—
648C2×C8×C73—41no—
649C2×C8×C73C2411yescharacteristic
650C2×C8×C73C2411yescharacteristic
651C2×C8×C73C2411yescharacteristic
652C2×C8×C73C2411yescharacteristic
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73—21no—
657C4⋊C4×C73—21no—
658C4⋊C4×C73—21no—
659C4⋊C4×C73C2×D411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73C2×D411yescharacteristic
671C22⋊C4×C73C2×D411yescharacteristic
672C42×C73—21no—
673C42×C73—21no—
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73—21no—
677C23×C73—21no—
678C23×C73—42no—
679C23×C73—42no—
680C23×C73—42no—
681C23×C73—81no—
682C23×C73—81no—
683C23×C73—81no—
684C23×C73C22×D411yescharacteristic
685C23×C73C22×D411yescharacteristic
686C22×D73—21no—
687C22×D73—42no—
688C22×D73—81no—
689C22×D73—81no—
690C22×D73C22×D411yescharacteristic
691Q8×C73—21no—
692Q8×C73—21no—
693D4×C73—22no—
694D4×C73—21no—
695D4×C73—21no—
696D4×C73—21no—
697D4×C73—21no—
698D4×C73—21no—
699D4×C73—42no—
700D4×C73—42no—
701D4×C73—42no—
702D4×C73—81no—
703D4×C73—81no—
704D4×C73—81no—
705D4×C732−1+412yes—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—42no—
716C2×C4×C73—81no—
717C2×C4×C73C22×D411yescharacteristic
718C2×C4×C73C22×D411yescharacteristic
719C2×C4×C73C22×D411yescharacteristic
720C2×C4×C73C22×D411yescharacteristic
721C2×C4×C73C2511yescharacteristic
722C22⋊D73—22no—
723C22⋊D73—41no—
724C22⋊D73—42no—
725C22⋊D73—42no—
726C22⋊D73—42no—
727C22⋊D73—81no—
728C22⋊D73—81no—
729C22⋊D73—81no—
730C22⋊D73—81no—
731C22⋊D73—81no—
732C22⋊D73—81no—
733C2×Dic73—22no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—41no—
742C2×Dic73—42no—
743C2×Dic73—42no—
744C2×Dic73—81no—
745C2×Dic73—81no—
746C2×Dic73—81no—
747C2×Dic73—81no—
748C2×Dic73—81no—
749C2×Dic73—81no—
750C2×Dic73—81no—
751C2×Dic73—81no—
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759D292—21no—
760D292—21no—
761C4×D73—21no—
762C4×D73—21no—
763C4×D73—81no—
764C4×D73—81no—
765C4×D73—81no—
766Dic146—21no—
767Dic146—21no—
768Dic146—41no—
769Dic146—81no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—22no—
785C22×C73—21no—
786C22×C73—21no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—41no—
793C22×C73—41no—
794C22×C73—41no—
795C22×C73—84no—
796C22×C73—162no—
797C22×C73#57712yes—
798C22×C73C23×D411yescharacteristic
799C2×D73—21no—
800C2×D73—21no—
801C2×D73—21no—
802C2×D73—41no—
803C2×D73—41no—
804C2×D73—41no—
805C2×D73—162no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—21no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73C2×2−1+411yescharacteristic
816C4×C73#58511yescharacteristic
817Dic73—21no—
818Dic73—21no—
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830Dic73—41no—
831#62164—731nomaximal, Sylow
832C2×C73—22no—
833C2×C73—42no—
834C2×C73—41no—
835C2×C73—81no—
836C2×C73—81no—
837C2×C73#348911yescharacteristic
838C2×C73C2×#57711yescharacteristic
839C2×C73#358511yescharacteristic
840D73—41no—
841D73—81no—
842#3563—731no—
843#3519—731no—
844#3388—731no—
845#3388—731no—
846#3368—731no—
847#3368—731no—
848#3348—731no—
849#3348—731no—
850#3346—731no—
851#3346—731no—
852#3337—731no—
853#3337—731no—
854#3310—731no—
855#3310—731no—
856#3310—731no—
857#3310D7311yescharacteristic, complemented
858#3295—731no—
859#3295—731no—
860#3260—731no—
861#3260—731no—
862#3246—731no—
863#3241—731no—
864#3241—731no—
865#3234—731no—
866#3123—731no—
867#3123—731no—
868#3110—731no—
869#3081—731no—
870#3081—731no—
871C2×#478—731no—
872#2992—731no—
873C73#6216411yescharacteristic, complemented, Sylow
874#564—1461no—
875#563—1461no—
876#557—731no—
877#557—731no—
878#555—731no—
879#554—731no—
880#554—731no—
881#554—731no—
882#553—731no—
883#553—731no—
884#553—1461no—
885#552—731no—
886#552—731no—
887#552—731no—
888#552—1461no—
889#552—1461no—
890#552C2×D7311yescharacteristic, complemented
891#550—731no—
892#546—1461no—
893#546—1461no—
894#546—1461no—
895D42—731no—
896D42—731no—
897D42C2×D7311yescharacteristic
898#544—731no—
899#544—731no—
900#544—1461no—
901#541—731no—
902#541—731no—
903#541—1461no—
904#541—1461no—
905#540—731no—
906#540—731no—
907#539—1461no—
908#538—1461no—
909#538—1461no—
910#533—731no—
911#532—731no—
912#529—731no—
913C2×#125—731no—
914#525—1461no—
915C2×#121—1461no—
916#518—731no—
917#518—731no—
918C2×C4×D4—731no—
919#501—731no—
920#501—731no—
921#501—731no—
922#501—731no—
923#499—731no—
924#499—731no—
925#490—731no—
926#490—731no—
927#490—731no—
928#490C2×D7311yescharacteristic, complemented
929#486—731no—
930#486—731no—
931#485—731no—
932#485—731no—
933#485—731no—
934#485—731no—
935#484—731no—
936#484—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482C2×D7311yescharacteristic, complemented
941#481—731no—
942#481—731no—
943#481—731no—
944#481—731no—
945#480—731no—
946#480—731no—
947#480—731no—
948#480C2×D7311yescharacteristic, complemented
949#479—731no—
950#479—731no—
951#479—731no—
952#479—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#478—731no—
961#478—731no—
962#478—731no—
963#478—731no—
964#478—731no—
965#478—731no—
966#478—731no—
967#478—731no—
968#478C2×D7311yescharacteristic
969#476—731no—
970#476—731no—
971#476—731no—
972#476—731no—
973#475—731no—
974#475—731no—
975#474—731no—
976#474—731no—
977#474—731no—
978#474—731no—
979#468—731no—
980#468—731no—
981#468—731no—
982#468C2×D7311yescharacteristic, complemented
983#465—731no—
984#465—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465—731no—
990#465C2×D7311yescharacteristic, complemented
991#461—731no—
992#461—731no—
993#461—731no—
994#461—731no—
995#460—731no—
996#460—731no—
997#460—731no—
998#460—731no—
999#460—731no—
1000#460C2×D7311yescharacteristic, complemented
1001#450—731no—
1002#450—731no—
1003#450—731no—
1004#450—731no—
1005#450C2×D7311yescharacteristic
1006#450C2×D7311yescharacteristic
1007#446—731no—
1008#446—731no—
1009#440—731no—
1010#440—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440C2×D7311yescharacteristic
1017C4×SD16—731no—
1018C4×SD16—731no—
1019C4×SD16—731no—
1020C4×SD16—731no—
1021#435—731no—
1022#435—731no—
1023#435—731no—
1024#435C2×D7311yescharacteristic, complemented
1025C8×D4—731no—
1026C8×D4—731no—
1027#433—731no—
1028#433—731no—
1029#432—731no—
1030#428—731no—
1031#428—731no—
1032#427—731no—
1033#427—731no—
1034C2×#107—731no—
1035C2×#106—731no—
1036#424—731no—
1037#424—731no—
1038C2×C4⋊C8—731no—
1039#418—731no—
1040#418C2×D7311yescharacteristic
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102—731no—
1044C2×#102C2×D7311yescharacteristic
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C22×D4—21no—
1048C22×D4—731no—
1049C22×D4—1461no—
1050C22×D4—1461no—
1051C22×D4C22×D7311yescharacteristic
1052C22×D4C22×D7311yescharacteristic
1053C23×C4—1461no—
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16—731no—
1057C2×SD16—731no—
1058C2×SD16—731no—
1059C2×SD16C22×D7311yescharacteristic
1060C2×SD16C22×D7311yescharacteristic
1061C2×SD16C22×D7311yescharacteristic
1062C2×M16—731no—
1063C2×M16C22×D7311yescharacteristic
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8—731no—
1067C22×C8C22×D7311yescharacteristic
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—731no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8—1461no—
1077#127—731no—
1078#127—731no—
1079#127C22×D7311yescharacteristic
1080#126—21no—
1081#126—731no—
1082#126—731no—
1083#126—1461no—
1084#126—1461no—
1085#126—1461no—
1086#126—1461no—
1087#126—1461no—
1088#126—1461no—
1089#126—1461no—
1090#126—1461no—
1091#126—1461no—
1092#125—21no—
1093#125—731no—
1094#125—731no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—731no—
1099#125—731no—
1100#125—731no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#125—1461no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125—1461no—
1114#125—1461no—
1115#125—1461no—
1116#125—1461no—
1117#125—1461no—
1118#125—1461no—
1119#125C22×D7311yescharacteristic
1120#124—731no—
1121#124—1461no—
1122#124—1461no—
1123#124—1461no—
1124#123—21no—
1125#123—731no—
1126#123—731no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—731no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8C22×D7311yescharacteristic
1154C22⋊Q8C22×D7311yescharacteristic
1155#121—21no—
1156#121—731no—
1157#121—731no—
1158#121—731no—
1159#121—731no—
1160#121—731no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121—1461no—
1167#121—1461no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121C22×D7311yescharacteristic
1175#121C22×D7311yescharacteristic
1176#120—21no—
1177#120—21no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181#120—1461no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—731no—
1187C4×Q8—731no—
1188C4×Q8—1461no—
1189C4×Q8—1461no—
1190C4×Q8—1461no—
1191C4×Q8C22×D7311yescharacteristic
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—731no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216#117—21no—
1217#117—731no—
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117—1461no—
1226#117—1461no—
1227#117C22×D7311yescharacteristic
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—731no—
1231C2×C4⋊C4—731no—
1232C2×C4⋊C4—1461no—
1233C2×C4⋊C4—1461no—
1234C2×C4⋊C4—1461no—
1235C2×C4⋊C4C22×D7311yescharacteristic
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C22⋊C4—1461no—
1241C2×C42—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107—731no—
1249#107—731no—
1250#107—731no—
1251#107—731no—
1252#107C22×D7311yescharacteristic
1253#107C22×D7311yescharacteristic
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106—731no—
1262#106—731no—
1263#106—731no—
1264#106—731no—
1265#106C22×D7311yescharacteristic
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8—731no—
1274C4⋊C8—731no—
1275C4⋊C8C22×D7311yescharacteristic
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103C22×D7311yescharacteristic
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102—731no—
1298#102—731no—
1299#102C22×D7311yescharacteristic
1300#102C22×D7311yescharacteristic
1301#102C22×D7311yescharacteristic
1302#102C22×D7311yescharacteristic
1303#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307#102C22×D7311yescharacteristic
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8—731no—
1312C22⋊C8C22×D7311yescharacteristic
1313C22⋊C8C22×D7311yescharacteristic
1314#97—731no—
1315#97—731no—
1316#97—731no—
1317#97C22×D7311yescharacteristic
1318C4×C8—731no—
1319C4×C8—731no—
1320C24—21no—
1321C24—21no—
1322C24—1461no—
1323#41—5842no—
1324#41—5842no—
1325C2×Q8—731no—
1326C2×Q8—731no—
1327C2×Q8—1461no—
1328C2×Q8—1461no—
1329C2×Q8—1461no—
1330C2×Q8—1461no—
1331C2×Q8C23×D7311yescharacteristic
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—82no—
1343C2×D4—2921no—
1344C2×D4—5842no—
1345C2×D4—5842no—
1346C2×D4—731no—
1347C2×D4—731no—
1348C2×D4—731no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1461no—
1354C2×D4—1461no—
1355C2×D4—1462no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4—1461no—
1359C2×D4D4×D7311yescharacteristic
1360C2×D4C23×D7311yescharacteristic
1361C2×D4C23×D7311yescharacteristic
1362C2×D4C23×D7311yescharacteristic
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—5842no—
1366C22×C4—731no—
1367C22×C4—731no—
1368C22×C4—731no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4C23×D7311yescharacteristic
1383C22×C4C23×D7311yescharacteristic
1384SD16—22no—
1385SD16—41no—
1386SD16—41no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—2921no—
1390SD16—2921no—
1391SD16—1462no—
1392M16—41no—
1393M16—2921no—
1394C2×C8—41no—
1395C2×C8—2921no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—731no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8C23×D7311yescharacteristic
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—731no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—731no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4D4×D7311yescharacteristic
1461C4⋊C4C23×D7311yescharacteristic
1462C4⋊C4C23×D7311yescharacteristic
1463C4⋊C4C23×D7311yescharacteristic
1464C4⋊C4C23×D7311yescharacteristic
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—731no—
1475C22⋊C4—731no—
1476C22⋊C4—731no—
1477C22⋊C4—731no—
1478C22⋊C4—731no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4D4×D7311yescharacteristic
1500C22⋊C4D4×D7311yescharacteristic
1501C42—21no—
1502C42—21no—
1503C42—731no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42—1461no—
1516C42C23×D7311yescharacteristic
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—42no—
1521C23—42no—
1522C23—42no—
1523C23—81no—
1524C23—81no—
1525C23—81no—
1526C23—2922no—
1527C23—5841no—
1528C23—5841no—
1529C23—731no—
1530C23—1461no—
1531C23C2×D4×D7311yescharacteristic
1532C23C2×D4×D7311yescharacteristic
1533Q8—21no—
1534Q8—21no—
1535Q8—2921no—
1536Q8—5841no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—5841no—
1540Q8—1461no—
1541Q8—1461no—
1542D4—22no—
1543D4—21no—
1544D4—21no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—42no—
1549D4—42no—
1550D4—42no—
1551D4—81no—
1552D4—81no—
1553D4—81no—
1554D4—2922no—
1555D4—2922no—
1556D4—2921no—
1557D4—2922no—
1558D4—5841no—
1559D4—5841no—
1560D4—5841no—
1561D4—5841no—
1562D4—5841no—
1563D4—5841no—
1564D4—1462no—
1565D4—1461no—
1566D4—1461no—
1567D4#1455663812yes—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—42no—
1578C2×C4—81no—
1579C2×C4—2922no—
1580C2×C4—2922no—
1581C2×C4—2921no—
1582C2×C4—5841no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—5841no—
1592C2×C4—5841no—
1593C2×C4—731no—
1594C2×C4—731no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—731no—
1598C2×C4—731no—
1599C2×C4—731no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4—1462no—
1608C2×C4—1461no—
1609C2×C4—1461no—
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C2×D4×D7311yescharacteristic
1614C2×C4C24×D7311yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C8—1461no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—22no—
1627C22—21no—
1628C22—21no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—84no—
1638C22—162no—
1639C22—2921no—
1640C22—2921no—
1641C22—2921no—
1642C22—11682no—
1643C22—1461no—
1644C22—1461no—
1645C22—1461no—
1646C22#1798939712yes—
1647C22C22×D4×D7311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—2921no—
1663C4—2921no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C4—1461no—
1670C4—1461no—
1671C4C2×#1455663811yescharacteristic
1672C4#1798942211yescharacteristic
1673C2—22no—
1674C2—41no—
1675C2—42no—
1676C2—81no—
1677C2—81no—
1678C2—2921no—
1679C2—5841no—
1680C2#2262360211yescharacteristic
1681C2C2×#1798939711yescharacteristic
1682C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3310C2
socleC22×C73C23×D4
prime radical#22623950C2
hypercenter#3310D73
hypocenterC73#62164
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #22624532C2semidirect
3. #22622880C2semidirect
4. #22622877C2semidirect
5. #22622664C2semidirect
6. #22622657C2semidirect
7. #22622444C2semidirect
8. #22622441C2semidirect
9. #22622422C2semidirect
10. #22622418C2semidirect
11. #22622314C2semidirect
12. #22622310C2semidirect
13. #22621956C2semidirect
14. #22621953C2semidirect
15. #22621948C2semidirect
16. #22621755C2semidirect
17. #22621748C2semidirect
18. #22621375C2semidirect
19. #22621373C2semidirect
20. #22621242C2semidirect
21. #22621190C2semidirect
22. #22621179C2semidirect
23. #22621118C2semidirect
24. #22620182C2semidirect
25. #22620177C2semidirect
26. #22620025C2semidirect
27. #22619764C2semidirect
28. #22619759C2semidirect
29. C2×#17988885C2semidirect
30. #22619071C2semidirect
31. C73×#3310C2semidirect
34. #17989316C22semidirect
35. #17989314C22semidirect
38. #17989295C22semidirect
39. #17989294C22semidirect
43. #17989279C22semidirect
44. #17989276C22semidirect
46. #17989272C22semidirect
54. #17989217C22semidirect
56. #17989215C22semidirect
58. #17989197C22semidirect
59. #17989195C22semidirect
66. #17989139C22semidirect
69. C2×#14556582C22semidirect
75. #17988996C22semidirect
76. #17988995C22semidirect
77. #17988995C22semidirect
78. #17988994C22semidirect
79. #17988988C22semidirect
80. #17988986C22semidirect
81. #17988950C22semidirect
82. #17988950C22semidirect
83. #17988950C22semidirect
84. #17988933C22semidirect
85. #17988932C22semidirect
86. #17988930C22semidirect
87. #17988929C22semidirect
88. #17988927C22semidirect
89. #17988925C22semidirect
90. #17988923C22semidirect
91. #17988920C22semidirect
92. #17988911C22semidirect
93. #17988910C22semidirect
94. #17988909C22semidirect
95. #17988906C22semidirect
96. #17988904C22semidirect
97. #17988903C22semidirect
98. #17988903C22semidirect
99. #17988901C22semidirect
100. #17988900C22semidirect
101. #17988899C22semidirect
102. #17988896C22semidirect
103. #17988895C22semidirect
104. #17988894C22semidirect
105. #17988893C22semidirect
106. #17988890C22semidirect
107. #17988890C22semidirect
109. #17988889C22semidirect
110. #17988889C22semidirect
115. #17988885C22semidirect
116. #17988885C22semidirect
117. #17988885C22semidirect
118. #17988885C22semidirect
119. #17988885C22semidirect
120. #17988884C22semidirect
122. #17988876C22semidirect
124. #17988875C22semidirect
125. #17988871C22semidirect
126. #17988870C22semidirect
127. #17988868C22semidirect
129. #17988865C22semidirect
130. #17988865C22semidirect
131. #17988833C22semidirect
132. #17988832C22semidirect
133. #17988830C22semidirect
134. #17988818C22semidirect
135. #17988818C22semidirect
136. #17988816C22semidirect
137. #17988815C22semidirect
138. #17988814C22semidirect
139. #17988814C22semidirect
140. #17988813C22semidirect
141. #17988791C22semidirect
143. #17988790C22semidirect
144. #17988790C22semidirect
145. #17988786C22semidirect
146. #17988786C22semidirect
147. #17988785C22semidirect
148. #17988785C22semidirect
149. #17988784C22semidirect
154. #17988715C22semidirect
155. #17988714C22semidirect
156. #17988689C22semidirect
158. #17988688C22semidirect
159. #17988688C22semidirect
162. #17988684C22semidirect
163. #17988678C22semidirect
165. C4×#11924015C22semidirect
167. #17988658C22semidirect
168. #17988656C22semidirect
169. #17988655C22semidirect
170. D4×#10596831C22semidirect
171. #17988650C22semidirect
172. #17988649C22semidirect
173. #17988645C22semidirect
174. #17988641C22semidirect
175. #17988629C22semidirect
176. #17988626C22semidirect
177. #17988624C22semidirect
178. #17988623C22semidirect
179. C2×#14556525C22semidirect
180. C2×#14556522C22semidirect
181. #17988615C22semidirect
182. #17988612C22semidirect
183. C2×#14556520C22semidirect
188. #552×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #480×C73C22semidirect
194. #468×C73C22semidirect
195. #465×C73C22semidirect
196. #460×C73C22semidirect
200. #435×C73C22semidirect
857. #3310D73semidirect
873. C73#62164semidirect
890. #552C2×D73semidirect
928. #490C2×D73semidirect
940. #482C2×D73semidirect
948. #480C2×D73semidirect
982. #468C2×D73semidirect
990. #465C2×D73semidirect
1000. #460C2×D73semidirect
1024. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245322
#226239502
#226228802
#226228772
#226226642
#226226572
#226224442
#226224412
#226224222
#226224182
#226223142
#226223102
#226219562
#226219532
#226219482
#226217552
#226217482
#226213752
#226213732
#226212422
#226211902
#226211792
#226211182
#226201822
#226201772
#226200252
#226197642
#226197592
C2×#179888852
#226190712
C73×#33102
#6216473