Finite Group Databasebeta

← #33983184

Subgroups — #33983184

Order 18688.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624577C211yesmaximal, characteristic, complemented
2#22623856C211yesmaximal, characteristic, complemented
3#22622890C211yesmaximal, characteristic, complemented
4#22622801C211yesmaximal, characteristic, complemented
5#22622694C211yesmaximal, characteristic, complemented
6#22622595C211yesmaximal, characteristic, complemented
7#22622521C211yesmaximal, characteristic, complemented
8#22622495C211yesmaximal, characteristic, complemented
9#22622485C211yesmaximal, characteristic, complemented
10#22622463C211yesmaximal, characteristic, complemented
11#22622364C211yesmaximal, characteristic, complemented
12#22622328C211yesmaximal, characteristic, complemented
13#22622162C211yesmaximal, characteristic, complemented
14#22622143C211yesmaximal, characteristic, complemented
15#22622136C211yesmaximal, characteristic, complemented
16#22622080C211yesmaximal, characteristic, complemented
17#22621762C211yesmaximal, characteristic, complemented
18#22621386C211yesmaximal, characteristic, complemented
19#22621338C211yesmaximal, characteristic, complemented
20#22621326C211yesmaximal, characteristic, complemented
21#22621225C211yesmaximal, characteristic, complemented
22#22621179C211yesmaximal, characteristic, complemented
23#22621107C211yesmaximal, characteristic, complemented
24#22620212C211yesmaximal, characteristic, complemented
25#22620108C211yesmaximal, characteristic, complemented
26#22619973C211yesmaximal, characteristic, complemented
27#22619783C211yesmaximal, characteristic, complemented
28#22619758C211yesmaximal, characteristic, complemented
29#22619725C211yesmaximal, characteristic, complemented
30#22619073C211yesmaximal, characteristic, complemented
31C73×#3318C211yesmaximal, characteristic, complemented
32#17989340—21no—
33#17989332—21no—
34#17989323C2211yescharacteristic
35#17989314C2211yescharacteristic, complemented
36#17989307C2211yescharacteristic
37#17989304—21no—
38#17989301C2211yescharacteristic, complemented
39#17989296C2211yescharacteristic
40#17989294C2211yescharacteristic, complemented
41#17989284C2211yescharacteristic
42#17989284C2211yescharacteristic, complemented
43#17989280—21no—
44#17989277—21no—
45#17989277C2211yescharacteristic
46#17989276C2211yescharacteristic, complemented
47#17989272C2211yescharacteristic, complemented
48#17989268—21no—
49#17989268—21no—
50#17989237C2211yescharacteristic
51#17989231—21no—
52#17989231C2211yescharacteristic
53#17989231C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989217C2211yescharacteristic, complemented
56#17989204—21no—
57#17989204C2211yescharacteristic
58#17989204C2211yescharacteristic, complemented
59#17989202—21no—
60#17989202C2211yescharacteristic, complemented
61#17989194—21no—
62#17989191C2211yescharacteristic
63#17989182—21no—
64#17989181—21no—
65#17989172—21no—
66#17989140C2211yescharacteristic, complemented
67#17989118C2211yescharacteristic
68#17989118C2211yescharacteristic, complemented
69#17989117C2211yescharacteristic
70#17989093—21no—
71C2×#14556572—21no—
72#17989066C2211yescharacteristic
73#17989062C2211yescharacteristic
74C2×D4×Dic73C2211yescharacteristic
75#17988996C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988988C2211yescharacteristic, complemented
78#17988987C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988945C2211yescharacteristic, complemented
82#17988940C2211yescharacteristic, complemented
83#17988940C2211yescharacteristic, complemented
84#17988940C2211yescharacteristic, complemented
85#17988933C2211yescharacteristic
86#17988929C2211yescharacteristic, complemented
87#17988929C2211yescharacteristic, complemented
88#17988929C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988923C2211yescharacteristic, complemented
91#17988919C2211yescharacteristic, complemented
92#17988917C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic
96#17988908C2211yescharacteristic
97#17988908C2211yescharacteristic, complemented
98#17988904C2211yescharacteristic, complemented
99#17988904C2211yescharacteristic, complemented
100#17988903C2211yescharacteristic, complemented
101#17988899C2211yescharacteristic, complemented
102#17988897C2211yescharacteristic, complemented
103#17988897C2211yescharacteristic, complemented
104#17988895C2211yescharacteristic, complemented
105#17988891C2211yescharacteristic, complemented
106#17988889C2211yescharacteristic
107#17988889C2211yescharacteristic
108#17988889C2211yescharacteristic, complemented
109#17988889C2211yescharacteristic, complemented
110#17988889C2211yescharacteristic, complemented
111#17988887C2211yescharacteristic, complemented
112#17988885C2211yescharacteristic
113#17988885C2211yescharacteristic
114#17988885C2211yescharacteristic, complemented
115#17988885C2211yescharacteristic, complemented
116#17988885C2211yescharacteristic, complemented
117#17988883C2211yescharacteristic, complemented
118#17988881C2211yescharacteristic, complemented
119#17988881C2211yescharacteristic, complemented
120#17988875C2211yescharacteristic
121#17988875C2211yescharacteristic, complemented
122#17988875C2211yescharacteristic, complemented
123#17988875C2211yescharacteristic, complemented
124#17988871C2211yescharacteristic, complemented
125#17988867C2211yescharacteristic
126#17988865C2211yescharacteristic
127#17988865C2211yescharacteristic
128#17988865C2211yescharacteristic, complemented
129#17988865C2211yescharacteristic, complemented
130#17988865C2211yescharacteristic, complemented
131#17988845C2211yescharacteristic, complemented
132#17988837C2211yescharacteristic, complemented
133#17988832C2211yescharacteristic, complemented
134#17988831C2211yescharacteristic
135#17988831C2211yescharacteristic
136#17988831C2211yescharacteristic, complemented
137#17988831C2211yescharacteristic, complemented
138#17988828C2211yescharacteristic, complemented
139#17988820C2211yescharacteristic, complemented
140#17988815C2211yescharacteristic, complemented
141#17988808C2211yescharacteristic, complemented
142#17988808C2211yescharacteristic, complemented
143#17988808C2211yescharacteristic, complemented
144#17988800C2211yescharacteristic
145#17988800C2211yescharacteristic, complemented
146#17988800C2211yescharacteristic, complemented
147#17988800C2211yescharacteristic, complemented
148#17988800C2211yescharacteristic, complemented
149#17988784C2211yescharacteristic
150#17988750C2211yescharacteristic
151#17988738C2211yescharacteristic
152#17988738C2211yescharacteristic
153#17988729C2211yescharacteristic
154#17988715C2211yescharacteristic, complemented
155#17988711C2211yescharacteristic, complemented
156#17988699C2211yescharacteristic
157#17988695C2211yescharacteristic, complemented
158#17988684C2211yescharacteristic, complemented
159#17988678C2211yescharacteristic
160#17988678C2211yescharacteristic
161#17988678C2211yescharacteristic, complemented
162C4×#11924016C2211yescharacteristic
163C4×#11924016C2211yescharacteristic, complemented
164D8×Dic73C2211yescharacteristic
165D8×Dic73C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic, complemented
167#17988665C2211yescharacteristic
168#17988663C2211yescharacteristic, complemented
169#17988662C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic, complemented
171C8×C22⋊D73C2211yescharacteristic, complemented
172#17988649C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988637C2211yescharacteristic, complemented
175#17988630C2211yescharacteristic, complemented
176#17988629C2211yescharacteristic, complemented
177#17988627C2211yescharacteristic, complemented
178#17988626C2211yescharacteristic, complemented
179#17988625C2211yescharacteristic, complemented
180#107×D73C2211yescharacteristic, complemented
181#17988613C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183#17988610C2211yescharacteristic, complemented
184#17988592C2211yescharacteristic
185#17988592C2211yescharacteristic
186#17988585C2211yescharacteristic
187#17988580C2211yescharacteristic
188#553×C73C2211yescharacteristic
189D42×C73C2211yescharacteristic
190#490×C73C2211yescharacteristic
191#482×C73C2211yescharacteristic
192#481×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic
194#469×C73C2211yescharacteristic
195#466×C73C2211yescharacteristic
196#459×C73C2211yescharacteristic
197#447×C73C2211yescharacteristic
198#447×C73C2211yescharacteristic
199#442×C73C2211yescharacteristic
200#435×C73C2211yescharacteristic
201#418×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924027—21no—
204C2×#11924027C2311yescharacteristic
205C23×Dic73—21no—
206C2×Dic292C2311yescharacteristic
207C2×#11924016C2311yescharacteristic
208C2×#11924016C2311yescharacteristic
209C2×#11924016C2311yescharacteristic
210C2×#11924016C2311yescharacteristic
211C2×#11924012C2311yescharacteristic
212C2×#11924012C2311yescharacteristic
213C2×#11924011C2311yescharacteristic
214C2×C8×D73C2311yescharacteristic
215#14556591C2311yescharacteristic
216#14556590—21no—
217#14556590—21no—
218#14556590—21no—
219#14556590C2311yescharacteristic
220#14556590C2311yescharacteristic
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556586—21no—
224#14556586D411yescharacteristic
225#14556584—21no—
226#14556584—21no—
227#14556584—21no—
228#14556584—21no—
229#14556584—21no—
230#14556584—21no—
231#14556584—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584D411yescharacteristic
237#14556583—21no—
238#14556583C2311yescharacteristic
239#14556582—21no—
240#14556582C2311yescharacteristic
241#14556582C2311yescharacteristic
242#14556582C2311yescharacteristic
243#14556582C2311yescharacteristic
244#14556582C2311yescharacteristic
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581D411yescharacteristic
251#14556578—21no—
252#14556578—21no—
253#14556578—21no—
254#14556578—21no—
255#14556578—21no—
256#14556578C2311yescharacteristic
257#14556578C2311yescharacteristic
258#14556578C2311yescharacteristic
259#14556577—21no—
260#14556577—21no—
261#14556577D411yescharacteristic
262#14556575D411yescharacteristic
263#14556574—21no—
264#14556574—21no—
265#14556573—21no—
266#14556573—21no—
267#14556572—21no—
268#14556572—21no—
269#14556572—21no—
270#14556572—21no—
271#14556572—21no—
272#14556572—21no—
273#14556572—21no—
274#14556572—21no—
275#14556572—21no—
276#14556572—21no—
277#14556572—21no—
278#14556572—21no—
279#14556572—21no—
280#14556572—21no—
281#14556572D411yescharacteristic
282#14556571—21no—
283#14556571C2311yescharacteristic
284#14556570—21no—
285#14556570—21no—
286#14556570—21no—
287#14556570—21no—
288#14556570—21no—
289#14556570C2311yescharacteristic
290#14556570C2311yescharacteristic
291#14556570C2311yescharacteristic
292#14556570C2311yescharacteristic
293#14556569—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556568D411yescharacteristic
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563D411yescharacteristic
310#14556562—21no—
311#14556562—21no—
312#14556562C2311yescharacteristic
313#14556562C2311yescharacteristic
314#14556562C2311yescharacteristic
315#14556560—21no—
316#14556560—21no—
317C4×Dic146—21no—
318C4×Dic146—21no—
319C4×Dic146C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322#14556556—21no—
323#14556556—21no—
324#14556556C2311yescharacteristic
325#14556556C2311yescharacteristic
326#14556556C2311yescharacteristic
327D4×Dic73—21no—
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343C4×C22⋊D73—21no—
344C4×C22⋊D73C2311yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556550—21no—
350#14556550C2311yescharacteristic
351#14556550C2311yescharacteristic
352#14556550C2311yescharacteristic
353#14556550C2311yescharacteristic
354#14556549C2311yescharacteristic
355#14556548—21no—
356#14556548C2311yescharacteristic
357#14556547—21no—
358#14556547—21no—
359#14556547—21no—
360#14556547—21no—
361#14556547—21no—
362C2×C4⋊Dic73—21no—
363C2×C4⋊Dic73C2311yescharacteristic
364C2×#11924007—21no—
365C2×#11924007—21no—
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C2×C22⋊Dic73—21no—
369C2×C22⋊Dic73—21no—
370C2×C22⋊Dic73—21no—
371C2×C22⋊Dic73—21no—
372C2×C22⋊Dic73—21no—
373C2×C4×Dic73C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
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#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556501C2311yescharacteristic
431C4×#10596831C2311yescharacteristic
432C8×Dic73C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C22×D4×C73—21no—
436C22×D4×C73C2311yescharacteristic
437C22×D4×C73C2311yescharacteristic
438C2×D8×C73C2311yescharacteristic
439C2×D8×C73C2311yescharacteristic
440C2×D8×C73C2311yescharacteristic
441C2×M16×C73C2311yescharacteristic
442C22×C8×C73C2311yescharacteristic
443#127×C73C2311yescharacteristic
444#126×C73—21no—
445#125×C73C2311yescharacteristic
446#123×C73—21no—
447#121×C73—21no—
448#121×C73—21no—
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453#120×C73—21no—
454#120×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#102×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
478#11924027—22no—
479#11924027—41no—
480#11924027—82no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146C2×D411yescharacteristic
487C2×Dic146C2411yescharacteristic
488C2×Dic146C2411yescharacteristic
489C2×C22⋊D73—21no—
490C2×C22⋊D73—21no—
491C2×C22⋊D73—21no—
492C2×C22⋊D73—21no—
493C2×C22⋊D73C2×D411yescharacteristic
494C2×C22⋊D73C2×D411yescharacteristic
495C22×Dic73—21no—
496C22×Dic73—21no—
497C22×Dic73—21no—
498C22×Dic73—21no—
499C22×Dic73—21no—
500C22×Dic73—21no—
501C22×Dic73—21no—
502C22×Dic73—21no—
503C22×Dic73—21no—
504C22×Dic73—21no—
505C22×Dic73—21no—
506C22×Dic73—82no—
507C22×Dic73C2×D411yescharacteristic
508C22×Dic73C2×D411yescharacteristic
509C2×C4×D73—21no—
510C2×C4×D73—21no—
511C2×C4×D73C2411yescharacteristic
512Dic292—41no—
513#11924016—22no—
514#11924016—41no—
515#11924016—41no—
516#11924016—41no—
517#11924012—41no—
518#11924012—41no—
519#11924011—41no—
520C2×#10596831C2411yescharacteristic
521C2×#10596831C2411yescharacteristic
522C2×#10596831C2411yescharacteristic
523C2×#10596831C2411yescharacteristic
524C8×D73—41no—
525C4⋊Dic73—21no—
526C4⋊Dic73—21no—
527C4⋊Dic73—21no—
528C4⋊Dic73—21no—
529C4⋊Dic73—21no—
530C4⋊Dic73—21no—
531C4⋊Dic73—21no—
532C4⋊Dic73—21no—
533C4⋊Dic73C2×D411yescharacteristic
534C4⋊Dic73C2×D411yescharacteristic
535C4⋊Dic73C2×D411yescharacteristic
536C4⋊Dic73C2411yescharacteristic
537C4⋊Dic73C2411yescharacteristic
538C4⋊Dic73C2411yescharacteristic
539C4⋊Dic73C2411yescharacteristic
540C4⋊Dic73C2411yescharacteristic
541C4⋊Dic73C2411yescharacteristic
542#11924007—21no—
543#11924007—21no—
544#11924007—21no—
545#11924007—21no—
546#11924007—21no—
547#11924007—21no—
548#11924007—21no—
549#11924007—21no—
550#11924007—21no—
551#11924007—21no—
552#11924007—21no—
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#11924007C2×D411yescharacteristic
565#11924007C2×D411yescharacteristic
566#11924007C2×D411yescharacteristic
567#11924007C2×D411yescharacteristic
568#11924007C2×D411yescharacteristic
569#11924007C2×D411yescharacteristic
570C22⋊Dic73—21no—
571C22⋊Dic73—21no—
572C22⋊Dic73—21no—
573C22⋊Dic73—21no—
574C22⋊Dic73—21no—
575C22⋊Dic73—21no—
576C22⋊Dic73—21no—
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⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73C2×D411yescharacteristic
596C22⋊Dic73C2×D411yescharacteristic
597C22⋊Dic73C2×D411yescharacteristic
598C22⋊Dic73C2×D411yescharacteristic
599#11924005—21no—
600#11924005—21no—
601#11924005C2×D411yescharacteristic
602#11924005C2×D411yescharacteristic
603#11924005C2×D411yescharacteristic
604#11924005C2×D411yescharacteristic
605C4×Dic73—21no—
606C4×Dic73—21no—
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73C2×D411yescharacteristic
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2411yescharacteristic
617C4×Dic73C2411yescharacteristic
618C4×Dic73C2411yescharacteristic
619C24×C73—21no—
620C24×C73—21no—
621C2×D4×C73—22no—
622C2×D4×C73—22no—
623C2×D4×C73—21no—
624C2×D4×C73—21no—
625C2×D4×C73—21no—
626C2×D4×C73—21no—
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73—21no—
631C2×D4×C73—41no—
632C2×D4×C73—41no—
633C2×D4×C73—82no—
634C2×D4×C73C2×D411yescharacteristic
635C2×D4×C73C2411yescharacteristic
636C2×D4×C73C2411yescharacteristic
637C2×D4×C73C2411yescharacteristic
638C2×D4×C73C2411yescharacteristic
639C22×C4×C73—21no—
640C22×C4×C73—21no—
641C22×C4×C73—21no—
642C22×C4×C73C2411yescharacteristic
643C22×C4×C73C2411yescharacteristic
644D8×C73—22no—
645D8×C73—41no—
646D8×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×C73C2×D411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73C2×D411yescharacteristic
669C22⋊C4×C73C2×D411yescharacteristic
670C42×C73—21no—
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—21no—
675C23×C73—21no—
676C23×C73—42no—
677C23×C73—42no—
678C23×C73—42no—
679C23×C73—81no—
680C23×C73—81no—
681C23×C73—81no—
682C23×C73C22×D411yescharacteristic
683C23×C73C22×D411yescharacteristic
684C22×D73C22×D411yescharacteristic
685D4×C73—21no—
686D4×C73—21no—
687D4×C73—21no—
688D4×C73—21no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—41no—
693D4×C73—42no—
694D4×C73—42no—
695D4×C73—42no—
696D4×C73—81no—
697D4×C73—81no—
698D4×C73—81no—
699D4×C73—81no—
700D4×C73—81no—
701D4×C732−1+412yes—
702C2×C4×C73—21no—
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—81no—
711C2×C4×C73—81no—
712C2×C4×C73—81no—
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C22×D411yescharacteristic
717C2×C4×C73C2511yescharacteristic
718C22⋊D73—41no—
719C22⋊D73—41no—
720C22⋊D73—42no—
721C22⋊D73—81no—
722C22⋊D73—81no—
723C22⋊D73—81no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—41no—
733C2×Dic73—41no—
734C2×Dic73—42no—
735C2×Dic73—42no—
736C2×Dic73—81no—
737C2×Dic73—81no—
738C2×Dic73—81no—
739C2×Dic73—81no—
740C2×Dic73—81no—
741C2×Dic73—81no—
742C2×Dic73—81no—
743C2×Dic73—81no—
744C2×Dic73—81no—
745C2×Dic73C22×D411yescharacteristic
746C2×Dic73C22×D411yescharacteristic
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C4×D73—21no—
753C4×D73—21no—
754C4×D73—81no—
755C4×D73—81no—
756Dic146—21no—
757Dic146—21no—
758Dic146—21no—
759Dic146—21no—
760Dic146—41no—
761Dic146—81no—
762Dic146—81no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—21no—
777C22×C73—21no—
778C22×C73—22no—
779C22×C73—21no—
780C22×C73—21no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—84no—
793C22×C73—162no—
794C22×C73C23×D411yescharacteristic
795C2×D73—21no—
796C2×D73—21no—
797C2×D73—21no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—41no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73C2×2−1+411yescharacteristic
807C4×C73#58511yescharacteristic
808Dic73—21no—
809Dic73—21no—
810Dic73—21no—
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—41no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62175—731nomaximal, Sylow
824C2×C73—41no—
825C2×C73—41no—
826C2×C73—42no—
827C2×C73—81no—
828C2×C73—81no—
829C2×C73—81no—
830C2×C73#348911yescharacteristic
831C2×C73#358411yescharacteristic
832C2×C73#358511yescharacteristic
833D73—41no—
834#3565—731no—
835#3513—731no—
836#3389—731no—
837#3381—731no—
838#3371—731no—
839#3361—731no—
840#3354—731no—
841#3351—731no—
842#3351—731no—
843#3349—731no—
844#3343—731no—
845#3339—731no—
846#3324—731no—
847#3323—731no—
848#3322—731no—
849#3319—731no—
850#3318D7311yescharacteristic, complemented
851#3296—731no—
852#3262—731no—
853#3257—731no—
854#3256—731no—
855#3244—731no—
856#3241—731no—
857#3233—731no—
858#3125—731no—
859#3118—731no—
860#3105—731no—
861#3083—731no—
862#3081—731no—
863#3077—731no—
864#2993—731no—
865C73#6217511yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—1461no—
872#555—731no—
873#554—731no—
874#554—731no—
875#553—731no—
876#553—731no—
877#553—1461no—
878#553C2×D7311yescharacteristic
879#552—731no—
880#552—731no—
881#552—731no—
882#552—1461no—
883#551—1461no—
884#551—1461no—
885#547—731no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42C2×D7311yescharacteristic
890#544—731no—
891#544—731no—
892#542—731no—
893#542—731no—
894#542—731no—
895#542—1461no—
896#542—1461no—
897#541—1461no—
898#540—731no—
899#539—1461no—
900#539—1461no—
901#538—1461no—
902#533—731no—
903#529—731no—
904#529—731no—
905#529—731no—
906#525—1461no—
907C2×#123—1461no—
908#520—731no—
909#518—731no—
910C2×C4×D4—731no—
911#501—731no—
912#501—731no—
913#499—731no—
914#499—731no—
915#499—731no—
916#498—731no—
917#490C2×D7311yescharacteristic
918#489—731no—
919#488—731no—
920#488—731no—
921#488—731no—
922#486—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#484—731no—
928#483—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482C2×D7311yescharacteristic
936#481—731no—
937#481—731no—
938#481—731no—
939#481C2×D7311yescharacteristic
940#480—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#479—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478C2×D7311yescharacteristic
957#477—731no—
958#477—731no—
959#477—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#476—731no—
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#470—731no—
972#469—731no—
973#469C2×D7311yescharacteristic
974#468—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#468—731no—
979#467—731no—
980#466—731no—
981#466C2×D7311yescharacteristic
982#465—731no—
983#464—731no—
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#460—731no—
992#459C2×D7311yescharacteristic
993#452—731no—
994#450—731no—
995#450—731no—
996#449—731no—
997#447C2×D7311yescharacteristic
998#447C2×D7311yescharacteristic
999#446—731no—
1000C8×Q8—731no—
1001#442—731no—
1002#442C2×D7311yescharacteristic
1003#441—731no—
1004#440—731no—
1005C4×SD16—731no—
1006C4×SD16—731no—
1007C4×SD16—731no—
1008C4×SD16—731no—
1009C4×SD16—731no—
1010C4×D8—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013#436—731no—
1014#436—731no—
1015#436—731no—
1016#435—731no—
1017#435C2×D7311yescharacteristic
1018C8×D4—731no—
1019#433—731no—
1020#433—731no—
1021#431—731no—
1022#428—731no—
1023#428—731no—
1024#428—731no—
1025#428—731no—
1026#427—731no—
1027C2×#107—731no—
1028#424—731no—
1029#424—731no—
1030#423—731no—
1031#418—731no—
1032#418—731no—
1033#418C2×D7311yescharacteristic
1034#417—731no—
1035#416—731no—
1036C2×#102C2×D7311yescharacteristic
1037C2×#41—731no—
1038C2×#41—1461no—
1039C22×D4—21no—
1040C22×D4C22×D7311yescharacteristic
1041C22×D4C22×D7311yescharacteristic
1042C23×C4—1461no—
1043C2×Q16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16—731no—
1047C2×SD16—731no—
1048C2×D8C22×D7311yescharacteristic
1049C2×D8C22×D7311yescharacteristic
1050C2×D8C22×D7311yescharacteristic
1051C2×M16—731no—
1052C2×M16—731no—
1053C2×M16—731no—
1054C2×M16C22×D7311yescharacteristic
1055C22×C8—731no—
1056C22×C8C22×D7311yescharacteristic
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—1461no—
1063C4⋊Q8—1461no—
1064C4⋊Q8—1461no—
1065#127C22×D7311yescharacteristic
1066#126—21no—
1067#126—731no—
1068#126—731no—
1069#126—1461no—
1070#126—1461no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#125—731no—
1082#125—731no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125—1461no—
1095#125C22×D7311yescharacteristic
1096#124—731no—
1097#124—731no—
1098#124—731no—
1099#124—731no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124—1461no—
1107#123—21no—
1108#123—731no—
1109#123—731no—
1110#123—1461no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—731no—
1129C22⋊Q8—731no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—731no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
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—
1150#121—21no—
1151#121—21no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—1461no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121C22×D7311yescharacteristic
1164#121C22×D7311yescharacteristic
1165#121C22×D7311yescharacteristic
1166#121C22×D7311yescharacteristic
1167#120—21no—
1168#120—21no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×D4—21no—
1182C4×D4—731no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—1461no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4C22×D7311yescharacteristic
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117C22×D7311yescharacteristic
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4—1461no—
1227C2×C4⋊C4C22×D7311yescharacteristic
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C22⋊C4—1461no—
1233C2×C42—731no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107C22×D7311yescharacteristic
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106C22×D7311yescharacteristic
1257#106C22×D7311yescharacteristic
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8—731no—
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8C22×D7311yescharacteristic
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103—731no—
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102C22×D7311yescharacteristic
1291#102C22×D7311yescharacteristic
1292#102C22×D7311yescharacteristic
1293#102C22×D7311yescharacteristic
1294#102C22×D7311yescharacteristic
1295#102C22×D7311yescharacteristic
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8C22×D7311yescharacteristic
1305C22⋊C8C22×D7311yescharacteristic
1306#97—731no—
1307#97C22×D7311yescharacteristic
1308C4×C8—731no—
1309C4×C8—731no—
1310C4×C8—731no—
1311C4×C8—731no—
1312C24—21no—
1313C24—21no—
1314#41—2921no—
1315#41—5842no—
1316#41—1462no—
1317C2×Q8—731no—
1318C2×Q8—731no—
1319C2×Q8—731no—
1320C2×Q8—1461no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—82no—
1338C2×D4—731no—
1339C2×D4—731no—
1340C2×D4—1461no—
1341C2×D4—1461no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4D4×D7311yescharacteristic
1345C2×D4C23×D7311yescharacteristic
1346C2×D4C23×D7311yescharacteristic
1347C2×D4C23×D7311yescharacteristic
1348C2×D4C23×D7311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—5842no—
1353C22×C4—731no—
1354C22×C4—731no—
1355C22×C4—731no—
1356C22×C4—1461no—
1357C22×C4—1461no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4C23×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371Q16—2921no—
1372SD16—2921no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—22no—
1377D8—41no—
1378D8—41no—
1379M16—41no—
1380M16—2921no—
1381M16—2921no—
1382M16—2921no—
1383C2×C8—41no—
1384C2×C8—2921no—
1385C2×C8—731no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—731no—
1397C4⋊C4—731no—
1398C4⋊C4—731no—
1399C4⋊C4—731no—
1400C4⋊C4—731no—
1401C4⋊C4—731no—
1402C4⋊C4—731no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—731no—
1411C4⋊C4—1461no—
1412C4⋊C4—1461no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1442C4⋊C4C23×D7311yescharacteristic
1443C4⋊C4C23×D7311yescharacteristic
1444C4⋊C4C23×D7311yescharacteristic
1445C4⋊C4C23×D7311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—731no—
1459C22⋊C4—731no—
1460C22⋊C4—731no—
1461C22⋊C4—1461no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1489C22⋊C4D4×D7311yescharacteristic
1490C42—21no—
1491C42—731no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—731no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42—1461no—
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—42no—
1511C23—42no—
1512C23—42no—
1513C23—81no—
1514C23—81no—
1515C23—81no—
1516C23—731no—
1517C23C2×D4×D7311yescharacteristic
1518C23C2×D4×D7311yescharacteristic
1519Q8—2921no—
1520Q8—5841no—
1521Q8—5841no—
1522Q8—5841no—
1523Q8—5841no—
1524Q8—5841no—
1525Q8—1461no—
1526Q8—1461no—
1527Q8—1461no—
1528Q8—1461no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—41no—
1537D4—42no—
1538D4—42no—
1539D4—42no—
1540D4—81no—
1541D4—81no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—2922no—
1546D4—2921no—
1547D4—2921no—
1548D4—5841no—
1549D4—5841no—
1550D4—5841no—
1551D4#1455663812yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—2922no—
1564C2×C4—2922no—
1565C2×C4—2921no—
1566C2×C4—2921no—
1567C2×C4—5841no—
1568C2×C4—5841no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—731no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4—1461no—
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C2×D4×D7311yescharacteristic
1599C2×C4C24×D7311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—84no—
1627C22—162no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—2921no—
1641C4—2921no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—1461no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C4C2×#1455663811yescharacteristic
1656C4#1798942211yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—81no—
1663C2—2921no—
1664C2#2262360211yescharacteristic
1665C2#2262469911yescharacteristic
1666C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3318C2
socleC22×C73C23×D4
hypercenter#3318D73
hypocenterC73#62175
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #22624577C2semidirect
2. #22623856C2semidirect
3. #22622890C2semidirect
4. #22622801C2semidirect
5. #22622694C2semidirect
6. #22622595C2semidirect
7. #22622521C2semidirect
8. #22622495C2semidirect
9. #22622485C2semidirect
10. #22622463C2semidirect
11. #22622364C2semidirect
12. #22622328C2semidirect
13. #22622162C2semidirect
14. #22622143C2semidirect
15. #22622136C2semidirect
16. #22622080C2semidirect
17. #22621762C2semidirect
18. #22621386C2semidirect
19. #22621338C2semidirect
20. #22621326C2semidirect
21. #22621225C2semidirect
22. #22621179C2semidirect
23. #22621107C2semidirect
24. #22620212C2semidirect
25. #22620108C2semidirect
26. #22619973C2semidirect
27. #22619783C2semidirect
28. #22619758C2semidirect
29. #22619725C2semidirect
30. #22619073C2semidirect
31. C73×#3318C2semidirect
35. #17989314C22semidirect
38. #17989301C22semidirect
40. #17989294C22semidirect
42. #17989284C22semidirect
46. #17989276C22semidirect
47. #17989272C22semidirect
54. #17989218C22semidirect
55. #17989217C22semidirect
58. #17989204C22semidirect
60. #17989202C22semidirect
66. #17989140C22semidirect
68. #17989118C22semidirect
75. #17988996C22semidirect
76. #17988994C22semidirect
77. #17988988C22semidirect
78. #17988987C22semidirect
79. #17988986C22semidirect
80. #17988984C22semidirect
81. #17988945C22semidirect
82. #17988940C22semidirect
83. #17988940C22semidirect
84. #17988940C22semidirect
86. #17988929C22semidirect
87. #17988929C22semidirect
88. #17988929C22semidirect
89. #17988928C22semidirect
90. #17988923C22semidirect
91. #17988919C22semidirect
92. #17988917C22semidirect
93. #17988910C22semidirect
94. #17988909C22semidirect
97. #17988908C22semidirect
98. #17988904C22semidirect
99. #17988904C22semidirect
100. #17988903C22semidirect
101. #17988899C22semidirect
102. #17988897C22semidirect
103. #17988897C22semidirect
104. #17988895C22semidirect
105. #17988891C22semidirect
108. #17988889C22semidirect
109. #17988889C22semidirect
110. #17988889C22semidirect
111. #17988887C22semidirect
114. #17988885C22semidirect
115. #17988885C22semidirect
116. #17988885C22semidirect
117. #17988883C22semidirect
118. #17988881C22semidirect
119. #17988881C22semidirect
121. #17988875C22semidirect
122. #17988875C22semidirect
123. #17988875C22semidirect
124. #17988871C22semidirect
128. #17988865C22semidirect
129. #17988865C22semidirect
130. #17988865C22semidirect
131. #17988845C22semidirect
132. #17988837C22semidirect
133. #17988832C22semidirect
136. #17988831C22semidirect
137. #17988831C22semidirect
138. #17988828C22semidirect
139. #17988820C22semidirect
140. #17988815C22semidirect
141. #17988808C22semidirect
142. #17988808C22semidirect
143. #17988808C22semidirect
145. #17988800C22semidirect
146. #17988800C22semidirect
147. #17988800C22semidirect
148. #17988800C22semidirect
154. #17988715C22semidirect
155. #17988711C22semidirect
157. #17988695C22semidirect
158. #17988684C22semidirect
161. #17988678C22semidirect
163. C4×#11924016C22semidirect
165. D8×Dic73C22semidirect
166. D8×Dic73C22semidirect
168. #17988663C22semidirect
169. #17988662C22semidirect
170. #17988661C22semidirect
171. C8×C22⋊D73C22semidirect
172. #17988649C22semidirect
173. #17988645C22semidirect
174. #17988637C22semidirect
175. #17988630C22semidirect
176. #17988629C22semidirect
177. #17988627C22semidirect
178. #17988626C22semidirect
179. #17988625C22semidirect
180. #107×D73C22semidirect
181. #17988613C22semidirect
182. #17988612C22semidirect
183. #17988610C22semidirect
850. #3318D73semidirect
865. C73#62175semidirect

Maximal subgroups

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

subgroupindex
#226245772
#226238562
#226228902
#226228012
#226226942
#226225952
#226225212
#226224952
#226224852
#226224632
#226223642
#226223282
#226221622
#226221432
#226221362
#226220802
#226217622
#226213862
#226213382
#226213262
#226212252
#226211792
#226211072
#226202122
#226201082
#226199732
#226197832
#226197582
#226197252
#226190732
C73×#33182
#6217573