Finite Group Databasebeta

← #33983072

Subgroups — #33983072

Order 18688.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624307C211yesmaximal, characteristic, complemented
2#22623994C211yesmaximal, characteristic, complemented
3#22622889C211yesmaximal, characteristic, complemented
4#22622827C211yesmaximal, characteristic, complemented
5#22622759C211yesmaximal, characteristic, complemented
6#22622648C211yesmaximal, characteristic, complemented
7#22622472C211yesmaximal, characteristic, complemented
8#22622447C211yesmaximal, characteristic, complemented
9#22622375C211yesmaximal, characteristic, complemented
10#22622342C211yesmaximal, characteristic, complemented
11#22622327C211yesmaximal, characteristic, complemented
12#22622093C211yesmaximal, characteristic, complemented
13#22622085C211yesmaximal, characteristic, complemented
14#22621909C211yesmaximal, characteristic, complemented
15#22621887C211yesmaximal, characteristic, complemented
16#22621853C211yesmaximal, characteristic, complemented
17#22621784C211yesmaximal, characteristic, complemented
18#22621379C211yesmaximal, characteristic, complemented
19#22621343C211yesmaximal, characteristic, complemented
20#22621250C211yesmaximal, characteristic, complemented
21#22621227C211yesmaximal, characteristic, complemented
22#22621200C211yesmaximal, characteristic, complemented
23#22621169C211yesmaximal, characteristic, complemented
24#22620173C211yesmaximal, characteristic, complemented
25#22620133C211yesmaximal, characteristic, complemented
26#22620077C211yesmaximal, characteristic, complemented
27#22619781C211yesmaximal, characteristic, complemented
28#22619755C211yesmaximal, characteristic, complemented
29#22619717C211yesmaximal, characteristic, complemented
30#22619071C211yesmaximal, characteristic, complemented
31C73×#3347C211yesmaximal, characteristic, complemented
32#17989332—21no—
33#17989331—21no—
34#17989307C2211yescharacteristic
35#17989305C2211yescharacteristic
36#17989301C2211yescharacteristic
37#17989300C2211yescharacteristic
38#17989296C2211yescharacteristic, complemented
39#17989293C2211yescharacteristic
40#17989284—21no—
41#17989283C2211yescharacteristic, complemented
42#17989281C2211yescharacteristic
43#17989273—21no—
44#17989272C2211yescharacteristic
45#17989270—21no—
46#17989266—21no—
47#17989260—21no—
48#17989252C2211yescharacteristic, complemented
49#17989245—21no—
50#17989242C2211yescharacteristic
51#17989237C2211yescharacteristic
52#17989234C2211yescharacteristic
53#17989234C2211yescharacteristic
54#17989215C2211yescharacteristic, complemented
55#17989214C2211yescharacteristic
56#17989208—21no—
57#17989204C2211yescharacteristic
58#17989201—21no—
59#17989200C2211yescharacteristic
60#17989190C2211yescharacteristic, complemented
61#17989188C2211yescharacteristic
62#17989180—21no—
63#17989169—21no—
64#17989164—21no—
65#17989157—21no—
66#17989140C2211yescharacteristic, complemented
67#17989132C2211yescharacteristic, complemented
68#17989119—21no—
69#17989118C2211yescharacteristic
70#17989117C2211yescharacteristic
71#126×D73—21no—
72#17989068C2211yescharacteristic
73#17989059C2211yescharacteristic
74#17989055C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988986C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988956C2211yescharacteristic, complemented
81#17988945C2211yescharacteristic
82#17988945C2211yescharacteristic
83#17988945C2211yescharacteristic
84#17988940C2211yescharacteristic
85#17988939C2211yescharacteristic, complemented
86#17988931C2211yescharacteristic
87#17988930C2211yescharacteristic
88#17988929C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic
92#17988919C2211yescharacteristic
93#17988918C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic
95#17988911C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic
97#17988908C2211yescharacteristic
98#17988905C2211yescharacteristic, complemented
99#17988903C2211yescharacteristic
100#17988897C2211yescharacteristic, complemented
101#17988897C2211yescharacteristic, complemented
102#17988897C2211yescharacteristic, complemented
103#17988893C2211yescharacteristic, complemented
104#17988893C2211yescharacteristic, complemented
105#17988890C2211yescharacteristic
106#17988890C2211yescharacteristic, complemented
107#17988889C2211yescharacteristic
108#17988889C2211yescharacteristic, complemented
109#17988888C2211yescharacteristic
110#17988887C2211yescharacteristic
111#17988886C2211yescharacteristic
112#17988886C2211yescharacteristic
113#17988885C2211yescharacteristic
114#17988884C2211yescharacteristic, complemented
115#17988881C2211yescharacteristic, complemented
116#17988881C2211yescharacteristic, complemented
117#17988881C2211yescharacteristic, complemented
118#17988876C2211yescharacteristic
119#17988876C2211yescharacteristic, complemented
120#17988875C2211yescharacteristic
121#17988874C2211yescharacteristic
122#17988871C2211yescharacteristic, complemented
123#17988871C2211yescharacteristic, complemented
124#17988866C2211yescharacteristic
125#17988866C2211yescharacteristic
126#17988866C2211yescharacteristic
127#17988865C2211yescharacteristic, complemented
128#17988834C2211yescharacteristic
129#17988833C2211yescharacteristic, complemented
130#17988832C2211yescharacteristic
131#17988821C2211yescharacteristic
132#17988821C2211yescharacteristic
133#17988817C2211yescharacteristic
134#17988816C2211yescharacteristic, complemented
135#17988815C2211yescharacteristic
136#17988814C2211yescharacteristic, complemented
137#17988814C2211yescharacteristic, complemented
138#17988801C2211yescharacteristic
139#17988801C2211yescharacteristic
140#17988800C2211yescharacteristic
141#17988800C2211yescharacteristic
142#17988793C2211yescharacteristic, complemented
143#17988792C2211yescharacteristic, complemented
144#17988786C2211yescharacteristic, complemented
145#17988786C2211yescharacteristic, complemented
146#17988781C2211yescharacteristic
147#17988780C2211yescharacteristic
148#17988734C2211yescharacteristic
149#17988734C2211yescharacteristic
150#17988730C2211yescharacteristic
151#17988730C2211yescharacteristic
152#17988722C2211yescharacteristic
153#17988719C2211yescharacteristic
154#17988715C2211yescharacteristic, complemented
155#17988714C2211yescharacteristic, complemented
156#17988700C2211yescharacteristic
157#17988698C2211yescharacteristic
158#17988696C2211yescharacteristic
159#17988696C2211yescharacteristic
160#17988686C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic, complemented
163#17988678C2211yescharacteristic, complemented
164#17988669C2211yescharacteristic
165C4×#11924013C2211yescharacteristic
166C4×#11924013C2211yescharacteristic
167#17988658C2211yescharacteristic
168#17988656C2211yescharacteristic
169#17988655C2211yescharacteristic
170D4×#10596831C2211yescharacteristic, complemented
171#17988650C2211yescharacteristic
172#17988649C2211yescharacteristic
173#17988645C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988628C2211yescharacteristic
176#17988624C2211yescharacteristic
177#17988623C2211yescharacteristic, complemented
178C2×#14556524C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic
181C2×#14556520C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988589C2211yescharacteristic
184#17988584C2211yescharacteristic
185#17988581C2211yescharacteristic
186#17988581C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#555×C73C2211yescharacteristic, complemented
189#553×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic
192#482×C73C2211yescharacteristic
193#482×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic, complemented
196#474×C73C2211yescharacteristic
197#469×C73C2211yescharacteristic
198#466×C73C2211yescharacteristic
199#442×C73C2211yescharacteristic
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202#427×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027—21no—
206C2×#11924027—21no—
207C2×Q8×D73—21no—
208C2×D4×D73C2311yescharacteristic
209C2×#11924017C2311yescharacteristic
210C2×#11924017C2311yescharacteristic
211C2×#11924016C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×D584C2311yescharacteristic
214C2×#11924013C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924011C2311yescharacteristic
217C22×#10596831C2311yescharacteristic
218C22×#10596831C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591—21no—
221#14556591C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556589—21no—
228#14556587C2311yescharacteristic
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586D411yescharacteristic
234#14556585—21no—
235#14556585—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584D411yescharacteristic
242#14556583—21no—
243#14556583C2311yescharacteristic
244#14556582—21no—
245#14556582—21no—
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556581—21no—
251#14556581—21no—
252#14556581D411yescharacteristic
253#14556579—21no—
254#14556578—21no—
255#14556578—21no—
256#14556578C2311yescharacteristic
257#14556578C2311yescharacteristic
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577D411yescharacteristic
263#14556575—21no—
264#14556575D411yescharacteristic
265#14556574—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#14556573—21no—
276#14556572—21no—
277#14556572—21no—
278#14556572—21no—
279#14556572D411yescharacteristic
280#14556571—21no—
281#14556571C2311yescharacteristic
282#14556571C2311yescharacteristic
283#14556570—21no—
284#14556570—21no—
285#14556570C2311yescharacteristic
286#14556570C2311yescharacteristic
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568D411yescharacteristic
301#14556567—21no—
302#14556567—21no—
303#14556566C2311yescharacteristic
304#14556565—21no—
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563D411yescharacteristic
315#14556562—21no—
316#14556562—21no—
317#14556562—21no—
318#14556562—21no—
319#14556562C2311yescharacteristic
320#14556559—21no—
321#14556559—21no—
322C4×Dic146—21no—
323C4×Dic146—21no—
324C4×Dic146—21no—
325C4×Dic146C2311yescharacteristic
326#14556556C2311yescharacteristic
327#14556556C2311yescharacteristic
328#14556556C2311yescharacteristic
329#14556556C2311yescharacteristic
330C4×D292—21no—
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333D4×Dic73—21no—
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
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#14556550—21no—
353#14556550—21no—
354#14556550C2311yescharacteristic
355#14556550C2311yescharacteristic
356#14556549—21no—
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556548—21no—
360#14556548—21no—
361#14556548C2311yescharacteristic
362#14556547—21no—
363#14556547—21no—
364C2×C4⋊Dic73C2311yescharacteristic
365C2×#11924007—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73C2311yescharacteristic
370C2×#11924005—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C2×C4×Dic73C2311yescharacteristic
375C42×D73—21no—
376#14556525C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391C4⋊#10596831C2311yescharacteristic
392#14556520C2311yescharacteristic
393#14556520C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×D8×C73C2311yescharacteristic
436C2×M16×C73C2311yescharacteristic
437C22×C8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#126×C73—21no—
440#125×C73C2311yescharacteristic
441#124×C73—21no—
442#124×C73—21no—
443#123×C73—21no—
444#121×C73—21no—
445#121×C73—21no—
446#121×C73C2311yescharacteristic
447#121×C73C2311yescharacteristic
448#121×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450C4×D4×C73—21no—
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454#117×C73—21no—
455#117×C73C2311yescharacteristic
456#117×C73C2311yescharacteristic
457#117×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×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#11924028—22no—
480#11924028—22no—
481#11924028—41no—
482#11924028—41no—
483#11924027—82no—
484#11924027—82no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146C2×D411yescharacteristic
491C2×Dic146C2411yescharacteristic
492C2×Dic146C2411yescharacteristic
493Q8×D73—82no—
494C2×D292—21no—
495C2×D292C2411yescharacteristic
496C2×D292C2411yescharacteristic
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73C2×D411yescharacteristic
506C2×C22⋊D73C2×D411yescharacteristic
507D4×D73—22no—
508D4×D73—41no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73C2×D411yescharacteristic
514C22×Dic73C2×D411yescharacteristic
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73C2411yescharacteristic
526#11924017—41no—
527#11924017—41no—
528#11924016—41no—
529#11924016—41no—
530D584—22no—
531#11924013—22no—
532#11924013—41no—
533#11924011—41no—
534C2×#10596831—41no—
535C2×#10596831—41no—
536C2×#10596831C2411yescharacteristic
537C2×#10596831C2411yescharacteristic
538C2×#10596831C2411yescharacteristic
539C2×#10596831C2411yescharacteristic
540C8×D73—41no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73C2×D411yescharacteristic
551C4⋊Dic73C2×D411yescharacteristic
552C4⋊Dic73C2×D411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
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⋊Dic73C2×D411yescharacteristic
593C22⋊Dic73C2×D411yescharacteristic
594C22⋊Dic73C2×D411yescharacteristic
595C22⋊Dic73C2×D411yescharacteristic
596#11924005—21no—
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#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73C2×D411yescharacteristic
622C4×Dic73C2×D411yescharacteristic
623C4×Dic73C2411yescharacteristic
624C4×Dic73C2411yescharacteristic
625C4×Dic73C2411yescharacteristic
626C2×Q8×C73—21no—
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73—21no—
631C2×D4×C73C2×D411yescharacteristic
632C2×D4×C73C2411yescharacteristic
633C2×D4×C73C2411yescharacteristic
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73C2411yescharacteristic
638C22×C4×C73C2411yescharacteristic
639D8×C73—41no—
640M16×C73—41no—
641C2×C8×C73—41no—
642C2×C8×C73C2411yescharacteristic
643C2×C8×C73C2411yescharacteristic
644C2×C8×C73C2411yescharacteristic
645C2×C8×C73C2411yescharacteristic
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73C2×D411yescharacteristic
651C4⋊C4×C73C2411yescharacteristic
652C4⋊C4×C73C2411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C22⋊C4×C73—21no—
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73C2×D411yescharacteristic
667C22⋊C4×C73C2×D411yescharacteristic
668C42×C73—21no—
669C42×C73—21no—
670C42×C73—21no—
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73C22×D411yescharacteristic
675C23×C73C22×D411yescharacteristic
676C22×D73—21no—
677C22×D73—21no—
678C22×D73—42no—
679C22×D73—81no—
680C22×D73—81no—
681C22×D73C22×D411yescharacteristic
682Q8×C73—81no—
683D4×C73—21no—
684D4×C73—21no—
685D4×C73—21no—
686D4×C73—21no—
687D4×C73—41no—
688D4×C73—81no—
689D4×C73—81no—
690D4×C73—81no—
691D4×C73—81no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—81no—
703C2×C4×C73—81no—
704C2×C4×C73—81no—
705C2×C4×C73C22×D411yescharacteristic
706C2×C4×C73C22×D411yescharacteristic
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C2511yescharacteristic
710C22⋊D73—41no—
711C22⋊D73—41no—
712C22⋊D73—42no—
713C22⋊D73—42no—
714C22⋊D73—42no—
715C22⋊D73—81no—
716C22⋊D73—81no—
717C22⋊D73—81no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—41no—
727C2×Dic73—41no—
728C2×Dic73—42no—
729C2×Dic73—81no—
730C2×Dic73—81no—
731C2×Dic73—81no—
732C2×Dic73C22×D411yescharacteristic
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737C2×Dic73C22×D411yescharacteristic
738C2×Dic73C22×D411yescharacteristic
739D292—21no—
740D292—21no—
741D292—21no—
742D292—81no—
743D2922−1+412yes—
744C4×D73—21no—
745C4×D73—21no—
746C4×D73—42no—
747C4×D73—42no—
748C4×D73—42no—
749C4×D73—81no—
750C4×D73—81no—
751C4×D73—81no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756Dic146—21no—
757Dic146—21no—
758Dic146—21no—
759Dic146—21no—
760Dic146—41no—
761Dic146—42no—
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—21no—
779C22×C73—21no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73C23×D411yescharacteristic
787C2×D73—21no—
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—22no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—162no—
797C4×C73—21no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—41no—
802C4×C73—41no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73C2×2−1+411yescharacteristic
808C4×C73#58511yescharacteristic
809Dic73—21no—
810Dic73—21no—
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822#62171—731nomaximal, Sylow
823C2×C73—41no—
824C2×C73—41no—
825C2×C73—81no—
826C2×C73—81no—
827C2×C73#348911yescharacteristic
828C2×C73#358411yescharacteristic
829C2×C73#358511yescharacteristic
830D73—41no—
831D73—42no—
832D73—81no—
833#3547—731no—
834#3521—731no—
835#3389—731no—
836#3384—731no—
837#3376—731no—
838#3367—731no—
839#3350—731no—
840#3348—731no—
841#3347D7311yescharacteristic, complemented
842#3343—731no—
843#3340—731no—
844#3339—731no—
845#3319—731no—
846#3319—731no—
847#3307—731no—
848#3306—731no—
849#3303—731no—
850#3297—731no—
851#3260—731no—
852#3257—731no—
853#3247—731no—
854#3244—731no—
855#3242—731no—
856#3240—731no—
857#3122—731no—
858#3119—731no—
859#3115—731no—
860#3083—731no—
861#3081—731no—
862#3076—731no—
863#2992—731no—
864C73#6217111yescharacteristic, complemented, Sylow
865#562—1461no—
866#562—1461no—
867#556—731no—
868#556—731no—
869#555—731no—
870#555—731no—
871#555C2×D7311yescharacteristic, complemented
872#554—731no—
873#554—731no—
874#553—731no—
875#553—731no—
876#553—1461no—
877#553C2×D7311yescharacteristic
878#552—731no—
879#552—1461no—
880#552—1461no—
881#551—1461no—
882#551—1461no—
883D4×Q8—731no—
884#548—1461no—
885#547—731no—
886#547—731no—
887#546—731no—
888#546—731no—
889#544—731no—
890#544—731no—
891#542—731no—
892#542—1461no—
893#542—1461no—
894#541—731no—
895#540—731no—
896#540—731no—
897#539—1461no—
898#538—1461no—
899#537—1461no—
900#536—1461no—
901#533—731no—
902#532—731no—
903#529—731no—
904#529—731no—
905#529—1461no—
906C2×#126—1461no—
907#520—731no—
908#518—731no—
909C4×#41—731no—
910#501—731no—
911#501—731no—
912#501—731no—
913#501C2×D7311yescharacteristic, complemented
914#499—731no—
915#498—731no—
916#491—731no—
917#489—731no—
918#489—731no—
919#489—731no—
920#488—731no—
921#487—731no—
922#485—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#482C2×D7311yescharacteristic
935#482C2×D7311yescharacteristic
936#482C2×D7311yescharacteristic, complemented
937#481—731no—
938#481—731no—
939#480C2×D7311yescharacteristic, complemented
940#479—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#478C2×D7311yescharacteristic, complemented
956#477—731no—
957#477—731no—
958#477—731no—
959#476—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#475—731no—
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474C2×D7311yescharacteristic
970#469C2×D7311yescharacteristic
971#468—731no—
972#468—731no—
973#468—731no—
974#466—731no—
975#466—731no—
976#466C2×D7311yescharacteristic
977#465—731no—
978#465—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#463—731no—
983#463—731no—
984#463—731no—
985#463—731no—
986#461—731no—
987#461—731no—
988#460—731no—
989#460—731no—
990#459—731no—
991#459—731no—
992#449—731no—
993#449—731no—
994#449—731no—
995#449—731no—
996#447—731no—
997#447—731no—
998#446—731no—
999#446—731no—
1000#442—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#442C2×D7311yescharacteristic
1005#440—731no—
1006#440—731no—
1007#440—731no—
1008C4×SD16—731no—
1009C4×D8—731no—
1010C4×D8—731no—
1011C4×D8—731no—
1012#435—731no—
1013#435—731no—
1014#435—731no—
1015#435C2×D7311yescharacteristic, complemented
1016C8×D4—731no—
1017C8×D4—731no—
1018#433—731no—
1019#433—731no—
1020#432—731no—
1021#428—731no—
1022#428C2×D7311yescharacteristic, complemented
1023#427—731no—
1024#427—731no—
1025#427C2×D7311yescharacteristic, complemented
1026C2×#107—731no—
1027#424—731no—
1028#424—731no—
1029C2×C4⋊C8—731no—
1030#418—731no—
1031#417—731no—
1032#416—731no—
1033#416—731no—
1034#416—731no—
1035C2×#102—731no—
1036C2×#41—731no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C2×#41—1461no—
1040C22×Q8—1461no—
1041C22×D4—731no—
1042C2×SD16—731no—
1043C2×SD16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×D8—731no—
1047C2×D8—731no—
1048C2×D8—731no—
1049C2×D8C22×D7311yescharacteristic
1050C2×M16—731no—
1051C2×M16C22×D7311yescharacteristic
1052C22×C8—731no—
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8C22×D7311yescharacteristic
1056C4⋊Q8—731no—
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—1461no—
1063C4⋊Q8—1461no—
1064C4⋊Q8C22×D7311yescharacteristic
1065#127—731no—
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#125—731no—
1081#125—731no—
1082#125—731no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—1461no—
1087#125—1461no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125C22×D7311yescharacteristic
1092#124—21no—
1093#124—21no—
1094#124—731no—
1095#124—731no—
1096#124—731no—
1097#124—1461no—
1098#124—1461no—
1099#124—1461no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#123—21no—
1105#123—731no—
1106#123—731no—
1107#123—1461no—
1108#123—1461no—
1109#123—1461no—
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—
1122C22⋊Q8—731no—
1123C22⋊Q8—731no—
1124C22⋊Q8—731no—
1125C22⋊Q8—731no—
1126C22⋊Q8—731no—
1127C22⋊Q8—1461no—
1128C22⋊Q8—1461no—
1129C22⋊Q8—1461no—
1130C22⋊Q8—1461no—
1131C22⋊Q8—1461no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
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—
1145#121—21no—
1146#121—21no—
1147#121—731no—
1148#121—731no—
1149#121—731no—
1150#121—731no—
1151#121—731no—
1152#121—1461no—
1153#121—1461no—
1154#121—1461no—
1155#121—1461no—
1156#121—1461no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121C22×D7311yescharacteristic
1165#121C22×D7311yescharacteristic
1166#121C22×D7311yescharacteristic
1167#121C22×D7311yescharacteristic
1168#120—1461no—
1169#120—1461no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—1461no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×D4—21no—
1179C4×D4—731no—
1180C4×D4—731no—
1181C4×D4—731no—
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—1461no—
1192C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1202C4×D4C22×D7311yescharacteristic
1203C4×D4C22×D7311yescharacteristic
1204#117—21no—
1205#117—731no—
1206#117—731no—
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—1461no—
1211#117—1461no—
1212#117—1461no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117C22×D7311yescharacteristic
1218#117C22×D7311yescharacteristic
1219#117C22×D7311yescharacteristic
1220C2×C4⋊C4—731no—
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—1461no—
1223C2×C4⋊C4—1461no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4C22×D7311yescharacteristic
1227C2×C22⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C42—731no—
1232C2×C42—1461no—
1233#107—731no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107C22×D7311yescharacteristic
1241#107C22×D7311yescharacteristic
1242#107C22×D7311yescharacteristic
1243#107C22×D7311yescharacteristic
1244#107C22×D7311yescharacteristic
1245#106—731no—
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106C22×D7311yescharacteristic
1254#106C22×D7311yescharacteristic
1255#106C22×D7311yescharacteristic
1256#106C22×D7311yescharacteristic
1257C4⋊C8—731no—
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⋊C8C22×D7311yescharacteristic
1267#103—731no—
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#103—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#102—731no—
1291#102—731no—
1292#102—731no—
1293#102C22×D7311yescharacteristic
1294#102C22×D7311yescharacteristic
1295#102C22×D7311yescharacteristic
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299C22⋊C8—731no—
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8C22×D7311yescharacteristic
1304C22⋊C8C22×D7311yescharacteristic
1305#97—731no—
1306#97—731no—
1307#97—731no—
1308#97C22×D7311yescharacteristic
1309C4×C8—731no—
1310C4×C8—731no—
1311C24—1461no—
1312#41—2921no—
1313#41—2921no—
1314#41—5842no—
1315#41—5842no—
1316#41—1462no—
1317#41—1462no—
1318C2×Q8—21no—
1319C2×Q8—5842no—
1320C2×Q8—731no—
1321C2×Q8—731no—
1322C2×Q8—731no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8—1461no—
1327C2×Q8—1461no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—2921no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—731no—
1336C2×D4—731no—
1337C2×D4—1461no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1462no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4D4×D7311yescharacteristic
1348C2×D4C23×D7311yescharacteristic
1349C2×D4C23×D7311yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
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×C4—1461no—
1370C22×C4C23×D7311yescharacteristic
1371C22×C4C23×D7311yescharacteristic
1372SD16—2921no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—2921no—
1376D8—41no—
1377D8—2921no—
1378D8—1462no—
1379D8—1462no—
1380M16—41no—
1381M16—2921no—
1382C2×C8—41no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—2921no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8—731no—
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C2×C8C23×D7311yescharacteristic
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
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⋊C4D4×D7311yescharacteristic
1439C4⋊C4C23×D7311yescharacteristic
1440C4⋊C4C23×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C4⋊C4C23×D7311yescharacteristic
1443C4⋊C4C23×D7311yescharacteristic
1444C4⋊C4C23×D7311yescharacteristic
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—731no—
1459C22⋊C4—731no—
1460C22⋊C4—731no—
1461C22⋊C4—731no—
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⋊C4D4×D7311yescharacteristic
1488C22⋊C4D4×D7311yescharacteristic
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—731no—
1496C42—731no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42C23×D7311yescharacteristic
1505C23—21no—
1506C23—21no—
1507C23—2922no—
1508C23—5841no—
1509C23—5841no—
1510C23—731no—
1511C23—1461no—
1512C23—1461no—
1513C23C2×D4×D7311yescharacteristic
1514C23C2×D4×D7311yescharacteristic
1515Q8—81no—
1516Q8—2921no—
1517Q8—2922no—
1518Q8—5841no—
1519Q8—5841no—
1520Q8—5841no—
1521Q8—5841no—
1522Q8—1461no—
1523Q8—1461no—
1524Q8—1461no—
1525Q8—1461no—
1526D4—21no—
1527D4—21no—
1528D4—21no—
1529D4—21no—
1530D4—41no—
1531D4—81no—
1532D4—81no—
1533D4—81no—
1534D4—81no—
1535D4—2922no—
1536D4—2922no—
1537D4—2921no—
1538D4—2921no—
1539D4—2922no—
1540D4—5841no—
1541D4—5841no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—732no—
1547D4—1461no—
1548D4—1461no—
1549D4—1461no—
1550C2×C4—21no—
1551C2×C4—21no—
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—2922no—
1566C2×C4—2922no—
1567C2×C4—2921no—
1568C2×C4—2921no—
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—5841no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
1585C2×C4—731no—
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×C4C2×D4×D7311yescharacteristic
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C24×D7311yescharacteristic
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—1461no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C22—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
1624C22—11682no—
1625C22—1462no—
1626C22—1461no—
1627C22—1461no—
1628C22—1461no—
1629C22C22×D4×D7311yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—2921no—
1641C4—2921no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—1461no—
1647C4—1461no—
1648C4—1461no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C42−1+4×D7311yescharacteristic
1654C4#1798942311yescharacteristic
1655C2—41no—
1656C2—41no—
1657C2—81no—
1658C2—81no—
1659C2—2922no—
1660C2—2921no—
1661C2—5841no—
1662C2#2262360511yescharacteristic
1663C2#2262470411yescharacteristic
1664C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3347C2
socleC22×C73C23×D4
hypercenter#3347D73
hypocenterC73#62171
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #22624307C2semidirect
2. #22623994C2semidirect
3. #22622889C2semidirect
4. #22622827C2semidirect
5. #22622759C2semidirect
6. #22622648C2semidirect
7. #22622472C2semidirect
8. #22622447C2semidirect
9. #22622375C2semidirect
10. #22622342C2semidirect
11. #22622327C2semidirect
12. #22622093C2semidirect
13. #22622085C2semidirect
14. #22621909C2semidirect
15. #22621887C2semidirect
16. #22621853C2semidirect
17. #22621784C2semidirect
18. #22621379C2semidirect
19. #22621343C2semidirect
20. #22621250C2semidirect
21. #22621227C2semidirect
22. #22621200C2semidirect
23. #22621169C2semidirect
24. #22620173C2semidirect
25. #22620133C2semidirect
26. #22620077C2semidirect
27. #22619781C2semidirect
28. #22619755C2semidirect
29. #22619717C2semidirect
30. #22619071C2semidirect
31. C73×#3347C2semidirect
38. #17989296C22semidirect
41. #17989283C22semidirect
48. #17989252C22semidirect
54. #17989215C22semidirect
60. #17989190C22semidirect
66. #17989140C22semidirect
67. #17989132C22semidirect
75. #17988995C22semidirect
76. #17988995C22semidirect
77. #17988994C22semidirect
78. #17988986C22semidirect
79. #17988984C22semidirect
80. #17988956C22semidirect
85. #17988939C22semidirect
88. #17988929C22semidirect
89. #17988928C22semidirect
90. #17988928C22semidirect
93. #17988918C22semidirect
95. #17988911C22semidirect
98. #17988905C22semidirect
100. #17988897C22semidirect
101. #17988897C22semidirect
102. #17988897C22semidirect
103. #17988893C22semidirect
104. #17988893C22semidirect
106. #17988890C22semidirect
108. #17988889C22semidirect
114. #17988884C22semidirect
115. #17988881C22semidirect
116. #17988881C22semidirect
117. #17988881C22semidirect
119. #17988876C22semidirect
122. #17988871C22semidirect
123. #17988871C22semidirect
127. #17988865C22semidirect
129. #17988833C22semidirect
134. #17988816C22semidirect
136. #17988814C22semidirect
137. #17988814C22semidirect
142. #17988793C22semidirect
143. #17988792C22semidirect
144. #17988786C22semidirect
145. #17988786C22semidirect
154. #17988715C22semidirect
155. #17988714C22semidirect
160. #17988686C22semidirect
161. #17988686C22semidirect
162. #17988684C22semidirect
163. #17988678C22semidirect
170. D4×#10596831C22semidirect
173. #17988645C22semidirect
174. #17988641C22semidirect
177. #17988623C22semidirect
178. C2×#14556524C22semidirect
179. #17988615C22semidirect
181. C2×#14556520C22semidirect
188. #555×C73C22semidirect
190. #501×C73C22semidirect
193. #482×C73C22semidirect
194. #480×C73C22semidirect
195. #478×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. #427×C73C22semidirect
841. #3347D73semidirect
864. C73#62171semidirect
871. #555C2×D73semidirect
913. #501C2×D73semidirect
936. #482C2×D73semidirect
939. #480C2×D73semidirect
955. #478C2×D73semidirect
1015. #435C2×D73semidirect
1022. #428C2×D73semidirect
1025. #427C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243072
#226239942
#226228892
#226228272
#226227592
#226226482
#226224722
#226224472
#226223752
#226223422
#226223272
#226220932
#226220852
#226219092
#226218872
#226218532
#226217842
#226213792
#226213432
#226212502
#226212272
#226212002
#226211692
#226201732
#226201332
#226200772
#226197812
#226197552
#226197172
#226190712
C73×#33472
#6217173