Finite Group Databasebeta

← #33982709

Subgroups — #33982709

Order 18688.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624369C211yesmaximal, characteristic, complemented
2#22623860C211yesmaximal, characteristic, complemented
3#22622869C211yesmaximal, characteristic, complemented
4#22622831C211yesmaximal, characteristic, complemented
5#22622718C211yesmaximal, characteristic, complemented
6#22622698C211yesmaximal, characteristic, complemented
7#22622478C211yesmaximal, characteristic, complemented
8#22622401C211yesmaximal, characteristic, complemented
9#22622396C211yesmaximal, characteristic, complemented
10#22622389C211yesmaximal, characteristic, complemented
11#22622305C211yesmaximal, characteristic, complemented
12#22622286C211yesmaximal, characteristic, complemented
13#22622065C211yesmaximal, characteristic, complemented
14#22622013C211yesmaximal, characteristic, complemented
15#22621967C211yesmaximal, characteristic, complemented
16#22621774C211yesmaximal, characteristic, complemented
17#22621751C211yesmaximal, characteristic, complemented
18#22621395C211yesmaximal, characteristic, complemented
19#22621343C211yesmaximal, characteristic, complemented
20#22621280C211yesmaximal, characteristic, complemented
21#22621233C211yesmaximal, characteristic, complemented
22#22621188C211yesmaximal, characteristic, complemented
23#22621157C211yesmaximal, characteristic, complemented
24#22620209C211yesmaximal, characteristic, complemented
25#22620108C211yesmaximal, characteristic, complemented
26#22620067C211yesmaximal, characteristic, complemented
27#22619797C211yesmaximal, characteristic, complemented
28#22619758C211yesmaximal, characteristic, complemented
29#476×D73C211yesmaximal, characteristic, complemented
30#22619066C211yesmaximal, characteristic, complemented
31C73×#3306C211yesmaximal, characteristic, complemented
32#17989340—21no—
33#17989340—21no—
34#17989319C2211yescharacteristic
35#17989312C2211yescharacteristic, complemented
36#17989307C2211yescharacteristic, complemented
37#17989296C2211yescharacteristic
38#17989292C2211yescharacteristic
39#17989292C2211yescharacteristic, complemented
40#17989284C2211yescharacteristic
41#17989284C2211yescharacteristic, complemented
42#17989283C2211yescharacteristic
43#17989280—21no—
44#17989271C2211yescharacteristic
45#17989263—21no—
46#17989260—21no—
47D4×Dic146C2211yescharacteristic, complemented
48#17989250—21no—
49#17989244—21no—
50#17989237C2211yescharacteristic
51#17989225C2211yescharacteristic
52#17989224—21no—
53D4×C22⋊D73C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989218C2211yescharacteristic, complemented
56#17989210C2211yescharacteristic
57#17989204C2211yescharacteristic, complemented
58#17989204C2211yescharacteristic, complemented
59#17989197—21no—
60#17989190C2211yescharacteristic
61#17989181—21no—
62#17989180—21no—
63#17989180—21no—
64#17989172—21no—
65#17989158—21no—
66C4⋊Q8×D73C2211yescharacteristic, complemented
67#17989119C2211yescharacteristic
68#17989119C2211yescharacteristic, complemented
69#17989116C2211yescharacteristic
70#17989097—21no—
71C2×#14556573—21no—
72#17989070C2211yescharacteristic
73#17989062C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988996C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988993C2211yescharacteristic, complemented
79#17988987C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic
82#17988948C2211yescharacteristic, complemented
83#17988946C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic
86#17988929C2211yescharacteristic, complemented
87#17988925C2211yescharacteristic, complemented
88#17988921C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988918C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic
93#17988912C2211yescharacteristic, complemented
94#17988908C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic, complemented
96#17988905C2211yescharacteristic
97#17988904C2211yescharacteristic
98#17988904C2211yescharacteristic
99#17988903C2211yescharacteristic, complemented
100#17988900C2211yescharacteristic, complemented
101#17988899C2211yescharacteristic, complemented
102#17988897C2211yescharacteristic, complemented
103#17988896C2211yescharacteristic, complemented
104#17988896C2211yescharacteristic, complemented
105#17988895C2211yescharacteristic, complemented
106#17988889C2211yescharacteristic
107#17988889C2211yescharacteristic, complemented
108#17988887C2211yescharacteristic, complemented
109#17988886C2211yescharacteristic, complemented
110#17988885C2211yescharacteristic
111#17988885C2211yescharacteristic
112#17988885C2211yescharacteristic, complemented
113#17988885C2211yescharacteristic, complemented
114#17988878C2211yescharacteristic, complemented
115#17988877C2211yescharacteristic
116#17988876C2211yescharacteristic, complemented
117#17988876C2211yescharacteristic, complemented
118#17988875C2211yescharacteristic
119#17988875C2211yescharacteristic
120#17988875C2211yescharacteristic
121#17988875C2211yescharacteristic, complemented
122#17988875C2211yescharacteristic, complemented
123#17988874C2211yescharacteristic, complemented
124#17988871C2211yescharacteristic, complemented
125#17988870C2211yescharacteristic, complemented
126#17988870C2211yescharacteristic, complemented
127#17988870C2211yescharacteristic, complemented
128#17988865C2211yescharacteristic
129#17988865C2211yescharacteristic, complemented
130#17988865C2211yescharacteristic, complemented
131#17988843C2211yescharacteristic, complemented
132#17988838C2211yescharacteristic
133#17988833C2211yescharacteristic, complemented
134#17988827C2211yescharacteristic, complemented
135#17988821C2211yescharacteristic, complemented
136#17988820C2211yescharacteristic
137#17988816C2211yescharacteristic
138#17988815C2211yescharacteristic
139#17988814C2211yescharacteristic, complemented
140#17988813C2211yescharacteristic, complemented
141#17988812C2211yescharacteristic, complemented
142#17988807C2211yescharacteristic, complemented
143#17988806C2211yescharacteristic, complemented
144#17988804C2211yescharacteristic, complemented
145#17988801C2211yescharacteristic, complemented
146#17988800C2211yescharacteristic
147#17988800C2211yescharacteristic, complemented
148#17988786C2211yescharacteristic
149#17988780C2211yescharacteristic
150#17988749C2211yescharacteristic
151#17988739C2211yescharacteristic
152#17988738C2211yescharacteristic
153#17988719C2211yescharacteristic
154#17988716C2211yescharacteristic, complemented
155#17988715C2211yescharacteristic, complemented
156#17988699C2211yescharacteristic
157#17988699C2211yescharacteristic, complemented
158#17988697C2211yescharacteristic, complemented
159#17988691C2211yescharacteristic, complemented
160#17988689C2211yescharacteristic, complemented
161#17988687C2211yescharacteristic
162#17988684C2211yescharacteristic
163#17988678C2211yescharacteristic
164#17988678C2211yescharacteristic, complemented
165SD16×Dic73C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic
167#17988661C2211yescharacteristic
168#17988659C2211yescharacteristic, complemented
169#17988656C2211yescharacteristic, complemented
170C8×C22⋊D73C2211yescharacteristic
171#17988650C2211yescharacteristic, complemented
172#17988645C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988642C2211yescharacteristic, complemented
175#17988629C2211yescharacteristic, complemented
176#17988627C2211yescharacteristic, complemented
177#17988625C2211yescharacteristic, complemented
178C2×#14556522C2211yescharacteristic, complemented
179#106×D73C2211yescharacteristic, complemented
180#106×D73C2211yescharacteristic, complemented
181#17988615C2211yescharacteristic, complemented
182#17988613C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988592C2211yescharacteristic
185#17988583C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#547×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic
194#469×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#447×C73C2211yescharacteristic
199#442×C73C2211yescharacteristic
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924027—21no—
204C22×Dic146—21no—
205C2×Q8×D73—21no—
206C22×C22⋊D73—21no—
207C2×D4×D73C2311yescharacteristic
208C22×C4×D73—21no—
209C2×#11924018C2311yescharacteristic
210C2×#11924017C2311yescharacteristic
211C2×#11924016C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×#11924013C2311yescharacteristic
214C2×#11924012C2311yescharacteristic
215C22×#10596831C2311yescharacteristic
216C2×C8×D73C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218#14556591C2311yescharacteristic
219#14556590—21no—
220#14556590—21no—
221#14556590—21no—
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556589—21no—
228#14556589—21no—
229#14556587C2311yescharacteristic
230#14556586—21no—
231#14556586—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584D411yescharacteristic
242#14556584D411yescharacteristic
243#14556583C2311yescharacteristic
244#14556582—21no—
245#14556582—21no—
246#14556582D411yescharacteristic
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556580C2311yescharacteristic
257#14556578—21no—
258#14556578—21no—
259#14556578—21no—
260#14556578D411yescharacteristic
261#14556578C2311yescharacteristic
262#14556577—21no—
263#14556577—21no—
264#14556575—21no—
265#14556575—21no—
266#14556574—21no—
267#14556573—21no—
268#14556573—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573D411yescharacteristic
276#14556573D411yescharacteristic
277#14556572—21no—
278#14556572—21no—
279#14556572—21no—
280#14556572—21no—
281#14556572—21no—
282#14556571—21no—
283#14556571D411yescharacteristic
284#14556571C2311yescharacteristic
285#14556570—21no—
286#14556570—21no—
287#14556570—21no—
288#14556570—21no—
289#14556570—21no—
290#14556570—21no—
291#14556570—21no—
292#14556570—21no—
293#14556570C2311yescharacteristic
294#14556570C2311yescharacteristic
295#14556569—21no—
296#14556569—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556568—21no—
304#14556567C2311yescharacteristic
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556562—21no—
312#14556562—21no—
313#14556562—21no—
314#14556562D411yescharacteristic
315#14556562C2311yescharacteristic
316#14556562C2311yescharacteristic
317#14556560—21no—
318#14556559—21no—
319#14556559—21no—
320Q8×Dic73—21no—
321Q8×Dic73C2311yescharacteristic
322Q8×Dic73C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325#14556556—21no—
326#14556556C2311yescharacteristic
327#14556556C2311yescharacteristic
328C4×D292C2311yescharacteristic
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553C2311yescharacteristic
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73C2311yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556550—21no—
354#14556550—21no—
355#14556550C2311yescharacteristic
356#14556550C2311yescharacteristic
357#14556550C2311yescharacteristic
358#14556550C2311yescharacteristic
359#14556550C2311yescharacteristic
360#14556549—21no—
361#14556547—21no—
362C2×C4⋊Dic73—21no—
363C2×C4⋊Dic73C2311yescharacteristic
364C2×#11924007—21no—
365C4⋊C4×D73—21no—
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C2×C22⋊Dic73—21no—
370C2×C22⋊Dic73—21no—
371C2×#11924005—21no—
372C22⋊C4×D73—21no—
373C42×D73C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556523C2311yescharacteristic
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#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73—21no—
436C2×#41×C73C2311yescharacteristic
437C22×D4×C73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×D8×C73C2311yescharacteristic
440C2×D8×C73C2311yescharacteristic
441C2×M16×C73C2311yescharacteristic
442C22×C8×C73C2311yescharacteristic
443C4⋊Q8×C73C2311yescharacteristic
444#124×C73C2311yescharacteristic
445#123×C73—21no—
446#123×C73—21no—
447#123×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454#120×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C22⋊C4×C73—21no—
461#106×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×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—
480C2×Dic146—21no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—82no—
487C2×Dic146C2×D411yescharacteristic
488C2×Dic146C2411yescharacteristic
489Q8×D73—82no—
490C2×D292C2411yescharacteristic
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—21no—
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—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—82no—
517C2×C4×D73C2×D411yescharacteristic
518C2×C4×D73C2×D411yescharacteristic
519C2×C4×D73C2411yescharacteristic
520#11924018—41no—
521#11924017—41no—
522#11924016—22no—
523#11924016—41no—
524#11924013—41no—
525#11924012—41no—
526C2×#10596831—41no—
527C2×#10596831C2411yescharacteristic
528C2×#10596831C2411yescharacteristic
529C2×#10596831C2411yescharacteristic
530C2×#10596831C2411yescharacteristic
531C8×D73—41no—
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⋊Dic73C2×D411yescharacteristic
543C4⋊Dic73C2×D411yescharacteristic
544C4⋊Dic73C2×D411yescharacteristic
545C4⋊Dic73C2×D411yescharacteristic
546C4⋊Dic73C2×D411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548C4⋊Dic73C2411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553#11924007—21no—
554#11924007—21no—
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#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
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
597C22⋊Dic73C2×D411yescharacteristic
598C22⋊Dic73C2×D411yescharacteristic
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
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—
623#41×C73—22no—
624#41×C73—41no—
625#41×C73—82no—
626C2×Q8×C73—21no—
627C2×Q8×C73C2411yescharacteristic
628C2×D4×C73—22no—
629C2×D4×C73—21no—
630C2×D4×C73—21no—
631C2×D4×C73—21no—
632C2×D4×C73—21no—
633C2×D4×C73—21no—
634C2×D4×C73—41no—
635C2×D4×C73C2×D411yescharacteristic
636C2×D4×C73C2411yescharacteristic
637C2×D4×C73C2411yescharacteristic
638C2×D4×C73C2411yescharacteristic
639C22×C4×C73—21no—
640C22×C4×C73—21no—
641C22×C4×C73—21no—
642C22×C4×C73—21no—
643C22×C4×C73—21no—
644C22×C4×C73C2411yescharacteristic
645C22×C4×C73C2411yescharacteristic
646SD16×C73—41no—
647D8×C73—22no—
648D8×C73—41no—
649M16×C73—41no—
650C2×C8×C73—41no—
651C2×C8×C73C2411yescharacteristic
652C2×C8×C73C2411yescharacteristic
653C2×C8×C73C2411yescharacteristic
654C2×C8×C73C2411yescharacteristic
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×C73—21no—
671C22⋊C4×C73—21no—
672C22⋊C4×C73C2×D411yescharacteristic
673C22⋊C4×C73C2×D411yescharacteristic
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73—21no—
677C23×C73—21no—
678C23×C73—42no—
679C23×C73—81no—
680C23×C73—81no—
681C23×C73C22×D411yescharacteristic
682C23×C73C22×D411yescharacteristic
683C22×D73—21no—
684C22×D73—42no—
685C22×D73—42no—
686C22×D73—81no—
687C22×D73C22×D411yescharacteristic
688Q8×C73—21no—
689Q8×C73—21no—
690Q8×C73—42no—
691D4×C73—21no—
692D4×C73—21no—
693D4×C73—21no—
694D4×C73—21no—
695D4×C73—21no—
696D4×C73—41no—
697D4×C73—42no—
698D4×C73—42no—
699D4×C73—81no—
700D4×C73—81no—
701D4×C73—81no—
702D4×C732−1+412yes—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
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—42no—
713C2×C4×C73—42no—
714C2×C4×C73—81no—
715C2×C4×C73—81no—
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—22no—
724C22⋊D73—42no—
725C22⋊D73—42no—
726C22⋊D73—42no—
727C22⋊D73—81no—
728C22⋊D73—81no—
729C22⋊D73—81no—
730C22⋊D73—81no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—81no—
739C2×Dic73—81no—
740C2×Dic73—81no—
741C2×Dic73—81no—
742C2×Dic73—81no—
743C2×Dic73—81no—
744C2×Dic73—81no—
745C2×Dic73—81no—
746C2×Dic73C22×D411yescharacteristic
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753D292—21no—
754D292—21no—
755C4×D73—22no—
756C4×D73—21no—
757C4×D73—21no—
758C4×D73—41no—
759C4×D73—42no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764Dic146—21no—
765Dic146—21no—
766Dic146—41no—
767Dic146—42no—
768Dic146—81no—
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—22no—
784C22×C73—21no—
785C22×C73—21no—
786C22×C73—21no—
787C22×C73—21no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—41no—
793C22×C73—41no—
794C22×C73—41no—
795C22×C73—41no—
796C22×C73—162no—
797C22×C73C23×D411yescharacteristic
798C2×D73—21no—
799C2×D73—21no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—41no—
803C2×D73—84no—
804C2×D73#57712yes—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73C2×2−1+411yescharacteristic
815C4×C73#58511yescharacteristic
816Dic73—21no—
817Dic73—21no—
818Dic73—21no—
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—41no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830#62156—731nomaximal, Sylow
831C2×C73—42no—
832C2×C73—41no—
833C2×C73—41no—
834C2×C73—81no—
835C2×C73—81no—
836C2×C73#348911yescharacteristic
837C2×C73C2×#57711yescharacteristic
838C2×C73#358511yescharacteristic
839D73—22no—
840D73—81no—
841#3552—731no—
842#3513—731no—
843#3388—731no—
844#3384—731no—
845#3373—731no—
846#3371—731no—
847#3350—731no—
848#3345—731no—
849#3345—731no—
850#3344—731no—
851#3337—731no—
852#3335—731no—
853#3318—731no—
854#3314—731no—
855#3311—731no—
856#3306D7311yescharacteristic, complemented
857#3297—731no—
858#3295—731no—
859#3263—731no—
860#3257—731no—
861#3250—731no—
862#3244—731no—
863#3241—731no—
864#3239—731no—
865#3125—731no—
866#3118—731no—
867#3114—731no—
868#3084—731no—
869#3081—731no—
870C2×#476—731no—
871#2992—731no—
872C73#6215611yescharacteristic, complemented, Sylow
873#563—1461no—
874#563—1461no—
875#559—731no—
876#557—731no—
877#556—731no—
878#554—731no—
879#554—731no—
880#554—731no—
881#553—731no—
882#553—731no—
883#553—731no—
884#553—1461no—
885#552—731no—
886#551—1461no—
887#551—1461no—
888D4×Q8—731no—
889D4×Q8—1461no—
890#548—1461no—
891#547—731no—
892#547C2×D7311yescharacteristic, complemented
893#546—731no—
894#546—1461no—
895#546C2×D7311yescharacteristic
896D42—731no—
897#544—731no—
898#544—731no—
899#542—731no—
900#542—731no—
901#542—731no—
902#541—1461no—
903#540—731no—
904#539—1461no—
905#539—1461no—
906#539—1461no—
907#538—1461no—
908#536—1461no—
909C2×C4⋊Q8—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#525—1461no—
914C2×#123—1461no—
915#520—731no—
916#518—731no—
917C2×C4×D4—731no—
918#501—731no—
919#501—731no—
920#501—731no—
921#501—731no—
922#499—731no—
923#498—731no—
924#490—731no—
925#489—731no—
926#489—731no—
927#489C2×D7311yescharacteristic, complemented
928#488—731no—
929#486—731no—
930#485—731no—
931#485—731no—
932#484—731no—
933#484—731no—
934#483—731no—
935#483—731no—
936#483C2×D7311yescharacteristic, complemented
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#481—731no—
942#481—731no—
943#481—731no—
944#481—731no—
945#481C2×D7311yescharacteristic, complemented
946#480—731no—
947#480—731no—
948#479—731no—
949#479—731no—
950#479—731no—
951#479—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#476—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#476—731no—
968#476—731no—
969#476—731no—
970#476C2×D7311yescharacteristic
971#475—731no—
972#475—731no—
973#475—731no—
974#475—731no—
975#474—731no—
976#474—731no—
977#474—731no—
978#470—731no—
979#469—731no—
980#469C2×D7311yescharacteristic, complemented
981#468—731no—
982#467—731no—
983#466—731no—
984#466—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465C2×D7311yescharacteristic, complemented
990#464—731no—
991#464—731no—
992#464—731no—
993#463—731no—
994#463—731no—
995#463—731no—
996#463—731no—
997#463C2×D7311yescharacteristic, complemented
998#460—731no—
999#459—731no—
1000#452—731no—
1001#450—731no—
1002#450—731no—
1003#449C2×D7311yescharacteristic
1004#447—731no—
1005#447C2×D7311yescharacteristic
1006#446—731no—
1007#446—731no—
1008#442—731no—
1009#442—731no—
1010#442—731no—
1011#442C2×D7311yescharacteristic
1012#441—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016C4×SD16—731no—
1017C4×SD16—731no—
1018C4×SD16—731no—
1019C4×D8—731no—
1020#435—731no—
1021#435—731no—
1022#435—731no—
1023#435C2×D7311yescharacteristic, complemented
1024C8×D4—731no—
1025C8×D4—731no—
1026#433—731no—
1027#433—731no—
1028#432—731no—
1029#428—731no—
1030#428—731no—
1031#427—731no—
1032C2×#106—731no—
1033C2×#106—731no—
1034C2×#106—731no—
1035#424—731no—
1036#424—731no—
1037C2×C4⋊C8—731no—
1038#418—731no—
1039#417C2×D7311yescharacteristic
1040#416—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102C2×D7311yescharacteristic
1044C2×#41—21no—
1045C2×#41—1461no—
1046C2×#41C22×D7311yescharacteristic
1047C22×Q8—1461no—
1048C22×Q8—1461no—
1049C22×D4—731no—
1050C22×D4—1461no—
1051C22×D4C22×D7311yescharacteristic
1052C23×C4—1461no—
1053C2×Q16—731no—
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16—731no—
1057C2×SD16C22×D7311yescharacteristic
1058C2×D8—731no—
1059C2×D8C22×D7311yescharacteristic
1060C2×D8C22×D7311yescharacteristic
1061C2×M16—731no—
1062C2×M16C22×D7311yescharacteristic
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8C22×D7311yescharacteristic
1067C4⋊Q8—731no—
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—
1077C4⋊Q8—1461no—
1078C4⋊Q8C22×D7311yescharacteristic
1079#127—731no—
1080#126—731no—
1081#126—731no—
1082#126—1461no—
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#126—1461no—
1093#125—731no—
1094#125—731no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—731no—
1099#125—1461no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#125—1461no—
1106#124—731no—
1107#124—731no—
1108#124—731no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#124—1461no—
1114#124C22×D7311yescharacteristic
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—731no—
1119#123—731no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
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—21no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
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⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8C22×D7311yescharacteristic
1161#121—21no—
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—731no—
1166#121—731no—
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#121C22×D7311yescharacteristic
1177#120—21no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—731no—
1187C4×Q8—1461no—
1188C4×Q8—1461no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
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—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
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
1216C4×D4C22×D7311yescharacteristic
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—
1226C2×C4⋊C4—731no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—1461no—
1231C2×C4⋊C4—1461no—
1232C2×C4⋊C4—1461no—
1233C2×C4⋊C4C22×D7311yescharacteristic
1234C2×C4⋊C4C22×D7311yescharacteristic
1235C2×C22⋊C4—21no—
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C42—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
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#106C22×D7311yescharacteristic
1263#106C22×D7311yescharacteristic
1264#106C22×D7311yescharacteristic
1265C4⋊C8—731no—
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⋊C8C22×D7311yescharacteristic
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103—731no—
1282#103C22×D7311yescharacteristic
1283#103C22×D7311yescharacteristic
1284#103C22×D7311yescharacteristic
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#102—731no—
1300#102C22×D7311yescharacteristic
1301#102C22×D7311yescharacteristic
1302#102C22×D7311yescharacteristic
1303#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8C22×D7311yescharacteristic
1312C22⋊C8C22×D7311yescharacteristic
1313#97—731no—
1314#97—731no—
1315#97—731no—
1316#97C22×D7311yescharacteristic
1317C4×C8—731no—
1318C4×C8—731no—
1319C24—21no—
1320C24—1461no—
1321#41—22no—
1322#41—41no—
1323#41—82no—
1324#41—5842no—
1325C2×Q8—21no—
1326C2×Q8—5842no—
1327C2×Q8—5842no—
1328C2×Q8—731no—
1329C2×Q8—731no—
1330C2×Q8—1461no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8—1461no—
1336C2×Q8C23×D7311yescharacteristic
1337C2×D4—22no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—41no—
1344C2×D4—2921no—
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—1462no—
1355C2×D4—1461no—
1356C2×D4—1461no—
1357C2×D4D4×D7311yescharacteristic
1358C2×D4C23×D7311yescharacteristic
1359C2×D4C23×D7311yescharacteristic
1360C2×D4C23×D7311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—5842no—
1367C22×C4—731no—
1368C22×C4—731no—
1369C22×C4—731no—
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×C4—1461no—
1383C22×C4C23×D7311yescharacteristic
1384C22×C4C23×D7311yescharacteristic
1385Q16—2921no—
1386SD16—41no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—1462no—
1390D8—22no—
1391D8—41no—
1392D8—2921no—
1393M16—41no—
1394M16—2921no—
1395C2×C8—41no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—731no—
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—1461no—
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⋊C4D4×D7311yescharacteristic
1456C4⋊C4C23×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—731no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—731no—
1475C22⋊C4—731no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
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⋊C4—1461no—
1500C22⋊C4D4×D7311yescharacteristic
1501C22⋊C4D4×D7311yescharacteristic
1502C42—731no—
1503C42—731no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—1461no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42C23×D7311yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—42no—
1520C23—81no—
1521C23—81no—
1522C23—2922no—
1523C23—2922no—
1524C23—5841no—
1525C23—731no—
1526C23—1461no—
1527C23C2×D4×D7311yescharacteristic
1528C23C2×D4×D7311yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—42no—
1532Q8—2922no—
1533Q8—2921no—
1534Q8—5841no—
1535Q8—5841no—
1536Q8—5841no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—1461no—
1540Q8—1461no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—21no—
1546D4—41no—
1547D4—42no—
1548D4—42no—
1549D4—81no—
1550D4—81no—
1551D4—81no—
1552D4—2922no—
1553D4—2922no—
1554D4—2922no—
1555D4—5841no—
1556D4—5841no—
1557D4—5841no—
1558D4—5841no—
1559D4—1462no—
1560D4—1462no—
1561D4—1461no—
1562D4—1461no—
1563D4#1455663812yes—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—42no—
1574C2×C4—42no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—2921no—
1579C2×C4—2922no—
1580C2×C4—5841no—
1581C2×C4—5841no—
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—731no—
1593C2×C4—731no—
1594C2×C4—731no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—731no—
1598C2×C4—731no—
1599C2×C4—1462no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4—1461no—
1608C2×C4—1461no—
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C24×D7311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C22—21no—
1623C22—21no—
1624C22—22no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—162no—
1638C22—2921no—
1639C22—2921no—
1640C22—2921no—
1641C22—5844no—
1642C22—732no—
1643C22—1461no—
1644C22—1461no—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—2921no—
1656C4—2921no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—1461no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C4C2×#1455663811yescharacteristic
1670C4#1798942211yescharacteristic
1671C2—41no—
1672C2—41no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2—5841no—
1677C2—1462no—
1678C2#2262360211yescharacteristic
1679C2#577×D7311yescharacteristic
1680C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3306C2
socleC22×C73C23×D4
hypercenter#3306D73
hypocenterC73#62156
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #22624369C2semidirect
2. #22623860C2semidirect
3. #22622869C2semidirect
4. #22622831C2semidirect
5. #22622718C2semidirect
6. #22622698C2semidirect
7. #22622478C2semidirect
8. #22622401C2semidirect
9. #22622396C2semidirect
10. #22622389C2semidirect
11. #22622305C2semidirect
12. #22622286C2semidirect
13. #22622065C2semidirect
14. #22622013C2semidirect
15. #22621967C2semidirect
16. #22621774C2semidirect
17. #22621751C2semidirect
18. #22621395C2semidirect
19. #22621343C2semidirect
20. #22621280C2semidirect
21. #22621233C2semidirect
22. #22621188C2semidirect
23. #22621157C2semidirect
24. #22620209C2semidirect
25. #22620108C2semidirect
26. #22620067C2semidirect
27. #22619797C2semidirect
28. #22619758C2semidirect
29. #476×D73C2semidirect
30. #22619066C2semidirect
31. C73×#3306C2semidirect
35. #17989312C22semidirect
36. #17989307C22semidirect
39. #17989292C22semidirect
41. #17989284C22semidirect
47. D4×Dic146C22semidirect
54. #17989218C22semidirect
55. #17989218C22semidirect
57. #17989204C22semidirect
58. #17989204C22semidirect
66. C4⋊Q8×D73C22semidirect
68. #17989119C22semidirect
75. #17988996C22semidirect
76. #17988994C22semidirect
77. #17988994C22semidirect
78. #17988993C22semidirect
79. #17988987C22semidirect
80. #17988984C22semidirect
82. #17988948C22semidirect
83. #17988946C22semidirect
84. #17988943C22semidirect
86. #17988929C22semidirect
87. #17988925C22semidirect
88. #17988921C22semidirect
89. #17988921C22semidirect
90. #17988919C22semidirect
91. #17988918C22semidirect
93. #17988912C22semidirect
94. #17988908C22semidirect
95. #17988908C22semidirect
99. #17988903C22semidirect
100. #17988900C22semidirect
101. #17988899C22semidirect
102. #17988897C22semidirect
103. #17988896C22semidirect
104. #17988896C22semidirect
105. #17988895C22semidirect
107. #17988889C22semidirect
108. #17988887C22semidirect
109. #17988886C22semidirect
112. #17988885C22semidirect
113. #17988885C22semidirect
114. #17988878C22semidirect
116. #17988876C22semidirect
117. #17988876C22semidirect
121. #17988875C22semidirect
122. #17988875C22semidirect
123. #17988874C22semidirect
124. #17988871C22semidirect
125. #17988870C22semidirect
126. #17988870C22semidirect
127. #17988870C22semidirect
129. #17988865C22semidirect
130. #17988865C22semidirect
131. #17988843C22semidirect
133. #17988833C22semidirect
134. #17988827C22semidirect
135. #17988821C22semidirect
139. #17988814C22semidirect
140. #17988813C22semidirect
141. #17988812C22semidirect
142. #17988807C22semidirect
143. #17988806C22semidirect
144. #17988804C22semidirect
145. #17988801C22semidirect
147. #17988800C22semidirect
154. #17988716C22semidirect
155. #17988715C22semidirect
157. #17988699C22semidirect
158. #17988697C22semidirect
159. #17988691C22semidirect
160. #17988689C22semidirect
164. #17988678C22semidirect
165. SD16×Dic73C22semidirect
168. #17988659C22semidirect
169. #17988656C22semidirect
171. #17988650C22semidirect
172. #17988645C22semidirect
173. #17988645C22semidirect
174. #17988642C22semidirect
175. #17988629C22semidirect
176. #17988627C22semidirect
177. #17988625C22semidirect
178. C2×#14556522C22semidirect
179. #106×D73C22semidirect
180. #106×D73C22semidirect
181. #17988615C22semidirect
182. #17988613C22semidirect
183. C4⋊C8×D73C22semidirect
188. #547×C73C22semidirect
190. #489×C73C22semidirect
191. #483×C73C22semidirect
192. #481×C73C22semidirect
194. #469×C73C22semidirect
195. #465×C73C22semidirect
196. #463×C73C22semidirect
200. #435×C73C22semidirect
856. #3306D73semidirect
872. C73#62156semidirect
892. #547C2×D73semidirect
927. #489C2×D73semidirect
936. #483C2×D73semidirect
945. #481C2×D73semidirect
980. #469C2×D73semidirect
989. #465C2×D73semidirect
997. #463C2×D73semidirect
1023. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243692
#226238602
#226228692
#226228312
#226227182
#226226982
#226224782
#226224012
#226223962
#226223892
#226223052
#226222862
#226220652
#226220132
#226219672
#226217742
#226217512
#226213952
#226213432
#226212802
#226212332
#226211882
#226211572
#226202092
#226201082
#226200672
#226197972
#226197582
#476×D732
#226190662
C73×#33062
#6215673