Finite Group Databasebeta

← #33983206

Subgroups — #33983206

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#22624579C211yesmaximal, characteristic, complemented
2#22623878C211yesmaximal, characteristic, complemented
3#22622892C211yesmaximal, characteristic, complemented
4#22622809C211yesmaximal, characteristic, complemented
5#22622695C211yesmaximal, characteristic, complemented
6#22622594C211yesmaximal, characteristic, complemented
7#22622522C211yesmaximal, characteristic, complemented
8#22622492C211yesmaximal, characteristic, complemented
9#22622465C211yesmaximal, characteristic, complemented
10#22622369C211yesmaximal, characteristic, complemented
11#22622327C211yesmaximal, characteristic, complemented
12#22622157C211yesmaximal, characteristic, complemented
13#22622142C211yesmaximal, characteristic, complemented
14#22622134C211yesmaximal, characteristic, complemented
15#22622085C211yesmaximal, characteristic, complemented
16#22622070C211yesmaximal, characteristic, complemented
17#22621760C211yesmaximal, characteristic, complemented
18#22621388C211yesmaximal, characteristic, complemented
19#22621337C211yesmaximal, characteristic, complemented
20#22621334C211yesmaximal, characteristic, complemented
21#22621225C211yesmaximal, characteristic, complemented
22#22621190C211yesmaximal, characteristic, complemented
23#22621111C211yesmaximal, characteristic, complemented
24#22620203C211yesmaximal, characteristic, complemented
25#22620118C211yesmaximal, characteristic, complemented
26#22619982C211yesmaximal, characteristic, complemented
27#22619781C211yesmaximal, characteristic, complemented
28#22619760C211yesmaximal, characteristic, complemented
29#22619726C211yesmaximal, characteristic, complemented
30#22619075C211yesmaximal, characteristic, complemented
31C73×#3351C211yesmaximal, characteristic, complemented
32#17989341—21no—
33#17989334—21no—
34#17989320C2211yescharacteristic
35#17989313C2211yescharacteristic, complemented
36#17989308C2211yescharacteristic
37#17989304—21no—
38#17989300C2211yescharacteristic, complemented
39#17989293C2211yescharacteristic
40#17989293C2211yescharacteristic, complemented
41#17989287—21no—
42#17989285C2211yescharacteristic
43#17989283C2211yescharacteristic, complemented
44#17989279C2211yescharacteristic, complemented
45#17989276—21no—
46#17989276C2211yescharacteristic
47#17989265—21no—
48#17989262—21no—
49#17989238C2211yescharacteristic
50#17989234—21no—
51#17989234C2211yescharacteristic
52#17989233C2211yescharacteristic
53#17989221C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989215C2211yescharacteristic, complemented
56#17989210C2211yescharacteristic, complemented
57#17989210C2211yescharacteristic, complemented
58#17989208—21no—
59#17989205—21no—
60#17989204C2211yescharacteristic
61#17989200—21no—
62#17989190C2211yescharacteristic
63#17989178—21no—
64#17989178—21no—
65#17989169—21no—
66#17989143C2211yescharacteristic, complemented
67#17989124C2211yescharacteristic, complemented
68#17989122C2211yescharacteristic
69#17989119C2211yescharacteristic
70#17989096—21no—
71#123×D73—21no—
72#17989068C2211yescharacteristic
73#17989061C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988994C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988988C2211yescharacteristic, complemented
78#17988986C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988950C2211yescharacteristic
81#17988945C2211yescharacteristic, complemented
82#17988944C2211yescharacteristic, complemented
83#17988942C2211yescharacteristic, complemented
84#17988940C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic
86#17988931C2211yescharacteristic, complemented
87#17988930C2211yescharacteristic, complemented
88#17988929C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988917C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic
92#17988913C2211yescharacteristic
93#17988911C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic
96#17988907C2211yescharacteristic, complemented
97#17988905C2211yescharacteristic, complemented
98#17988903C2211yescharacteristic, complemented
99#17988901C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988897C2211yescharacteristic, complemented
102#17988892C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic
104#17988890C2211yescharacteristic, complemented
105#17988890C2211yescharacteristic, complemented
106#17988888C2211yescharacteristic
107#17988887C2211yescharacteristic, complemented
108#17988886C2211yescharacteristic
109#17988886C2211yescharacteristic
110#17988886C2211yescharacteristic, complemented
111#17988885C2211yescharacteristic, complemented
112#17988884C2211yescharacteristic
113#17988884C2211yescharacteristic, complemented
114#17988881C2211yescharacteristic, complemented
115#17988881C2211yescharacteristic, complemented
116#17988880C2211yescharacteristic, complemented
117#17988876C2211yescharacteristic
118#17988876C2211yescharacteristic, complemented
119#17988876C2211yescharacteristic, complemented
120#17988875C2211yescharacteristic, complemented
121#17988871C2211yescharacteristic, complemented
122#17988866C2211yescharacteristic
123#17988866C2211yescharacteristic
124#17988866C2211yescharacteristic
125#17988866C2211yescharacteristic, complemented
126#17988866C2211yescharacteristic, complemented
127#17988865C2211yescharacteristic, complemented
128#17988844C2211yescharacteristic, complemented
129#17988841C2211yescharacteristic
130#17988840C2211yescharacteristic, complemented
131#17988836C2211yescharacteristic
132#17988834C2211yescharacteristic, complemented
133#17988833C2211yescharacteristic, complemented
134#17988826C2211yescharacteristic, complemented
135#17988821C2211yescharacteristic
136#17988821C2211yescharacteristic, complemented
137#17988818C2211yescharacteristic, complemented
138#17988812C2211yescharacteristic, complemented
139#17988809C2211yescharacteristic, complemented
140#17988807C2211yescharacteristic, complemented
141#17988805C2211yescharacteristic
142#17988805C2211yescharacteristic, complemented
143#17988804C2211yescharacteristic, complemented
144#17988803C2211yescharacteristic, complemented
145#17988801C2211yescharacteristic, complemented
146#17988785C2211yescharacteristic
147#17988781C2211yescharacteristic
148#17988747C2211yescharacteristic
149#17988737C2211yescharacteristic
150#17988736C2211yescharacteristic
151#17988734C2211yescharacteristic
152#17988723C2211yescharacteristic
153#17988722C2211yescharacteristic
154#17988717C2211yescharacteristic, complemented
155#17988711C2211yescharacteristic, complemented
156#17988698C2211yescharacteristic
157#17988698C2211yescharacteristic
158#17988691C2211yescharacteristic, complemented
159#17988690C2211yescharacteristic, complemented
160C4×#11924015C2211yescharacteristic
161#17988674C2211yescharacteristic, complemented
162#17988672C2211yescharacteristic
163#17988672C2211yescharacteristic
164C4×D584C2211yescharacteristic
165#17988669C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic, complemented
167#17988663C2211yescharacteristic
168#17988663C2211yescharacteristic, complemented
169#17988655C2211yescharacteristic
170#17988655C2211yescharacteristic, complemented
171D4×#10596831C2211yescharacteristic, complemented
172#17988645C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988638C2211yescharacteristic, complemented
175#17988628C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic, complemented
177#17988623C2211yescharacteristic, complemented
178C2×#14556524C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988615C2211yescharacteristic, complemented
181#17988609C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988590C2211yescharacteristic
184#17988590C2211yescharacteristic
185#17988589C2211yescharacteristic
186#17988581C2211yescharacteristic
187C2×#14556511C2211yescharacteristic
188#553×C73C2211yescharacteristic
189#552×C73C2211yescharacteristic, complemented
190#499×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#481×C73C2211yescharacteristic
195#479×C73C2211yescharacteristic, complemented
196#478×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic
198#468×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202#428×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C22×D292C2311yescharacteristic
206C2×D4×D73—21no—
207C2×D4×D73C2311yescharacteristic
208C22×C4×D73—21no—
209C2×#11924018C2311yescharacteristic
210C2×#11924017C2311yescharacteristic
211C2×#11924015C2311yescharacteristic
212C2×#11924015C2311yescharacteristic
213C2×D584C2311yescharacteristic
214C2×D584C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924011C2311yescharacteristic
217C2×#11924011C2311yescharacteristic
218C22×#10596831C2311yescharacteristic
219C22×#10596831C2311yescharacteristic
220#14556591—21no—
221#14556590—21no—
222#14556590—21no—
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556587C2311yescharacteristic
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586—21no—
234#14556586—21no—
235#14556586—21no—
236#14556586—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584D411yescharacteristic
241#14556584D411yescharacteristic
242#14556583—21no—
243#14556583—21no—
244#14556583—21no—
245#14556583C2311yescharacteristic
246#14556582—21no—
247#14556582—21no—
248#14556582—21no—
249#14556582D411yescharacteristic
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556580C2311yescharacteristic
255#14556579—21no—
256#14556579C2311yescharacteristic
257#14556578—21no—
258#14556578D411yescharacteristic
259#14556578C2311yescharacteristic
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556575—21no—
271#14556575—21no—
272#14556574—21no—
273#14556574—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573D411yescharacteristic
282#14556573D411yescharacteristic
283#14556572—21no—
284#14556571—21no—
285#14556571—21no—
286#14556571—21no—
287#14556571—21no—
288#14556571D411yescharacteristic
289#14556571C2311yescharacteristic
290#14556570—21no—
291#14556570—21no—
292#14556570C2311yescharacteristic
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556569—21no—
298#14556569—21no—
299#14556569—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556567C2311yescharacteristic
304#14556566C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556565—21no—
307#14556565C2311yescharacteristic
308#14556565C2311yescharacteristic
309#14556565C2311yescharacteristic
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556563—21no—
314#14556563—21no—
315#14556562—21no—
316#14556562—21no—
317#14556562D411yescharacteristic
318#14556561—21no—
319#14556559—21no—
320#14556559—21no—
321#14556559—21no—
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324C4×Dic146—21no—
325C4×Dic146C2311yescharacteristic
326#14556556—21no—
327#14556556—21no—
328#14556556—21no—
329#14556556C2311yescharacteristic
330#14556556C2311yescharacteristic
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337#14556553—21no—
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73C2311yescharacteristic
351C4×C22⋊D73C2311yescharacteristic
352#14556551—21no—
353#14556551—21no—
354#14556550C2311yescharacteristic
355#14556550C2311yescharacteristic
356#14556550C2311yescharacteristic
357#14556549—21no—
358#14556549—21no—
359#14556549C2311yescharacteristic
360#14556549C2311yescharacteristic
361#14556548—21no—
362#14556548—21no—
363#14556548—21no—
364#14556547—21no—
365C2×C4⋊Dic73C2311yescharacteristic
366C4⋊C4×D73—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73C2311yescharacteristic
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C42×D73C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
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#14556515C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×SD16×C73C2311yescharacteristic
436C2×M16×C73C2311yescharacteristic
437C2×M16×C73C2311yescharacteristic
438#126×C73—21no—
439#126×C73—21no—
440#125×C73—21no—
441#125×C73C2311yescharacteristic
442#125×C73C2311yescharacteristic
443#123×C73—21no—
444#123×C73—21no—
445C22⋊Q8×C73C2311yescharacteristic
446C22⋊Q8×C73C2311yescharacteristic
447#121×C73—21no—
448#121×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×D4×C73—21no—
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454#117×C73—21no—
455#117×C73C2311yescharacteristic
456#117×C73C2311yescharacteristic
457C2×C4⋊C4×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924028—22no—
481#11924028—41no—
482#11924028—82no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146C2×D411yescharacteristic
489C2×Dic146C2411yescharacteristic
490C2×D292—22no—
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—41no—
495C2×D292C2411yescharacteristic
496C2×D292C2411yescharacteristic
497C2×D292C2411yescharacteristic
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—
509D4×D73—82no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
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—82no—
524C2×C4×D73C2×D411yescharacteristic
525C2×C4×D73C2×D411yescharacteristic
526C2×C4×D73C2411yescharacteristic
527#11924018—41no—
528#11924017—41no—
529#11924015—22no—
530#11924015—41no—
531D584—22no—
532D584—41no—
533#11924013—41no—
534#11924011—41no—
535#11924011—41no—
536C2×#10596831—41no—
537C2×#10596831—41no—
538C2×#10596831C2411yescharacteristic
539C2×#10596831C2411yescharacteristic
540C2×#10596831C2411yescharacteristic
541C2×#10596831C2411yescharacteristic
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⋊Dic73C2×D411yescharacteristic
554C4⋊Dic73C2×D411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
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
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73C2×D411yescharacteristic
585C22⋊Dic73C2×D411yescharacteristic
586C22⋊Dic73C2×D411yescharacteristic
587C22⋊Dic73C2×D411yescharacteristic
588C22⋊Dic73C2×D411yescharacteristic
589C22⋊Dic73C2×D411yescharacteristic
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
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#11924005—21no—
611#11924005—21no—
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×C73C2411yescharacteristic
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73C2×D411yescharacteristic
630C2×D4×C73C2411yescharacteristic
631C22×C4×C73—21no—
632C22×C4×C73—21no—
633C22×C4×C73—21no—
634C22×C4×C73C2411yescharacteristic
635C22×C4×C73C2411yescharacteristic
636SD16×C73—41no—
637M16×C73—41no—
638M16×C73—41no—
639C2×C8×C73C2411yescharacteristic
640C2×C8×C73C2411yescharacteristic
641C2×C8×C73C2411yescharacteristic
642C2×C8×C73C2411yescharacteristic
643C4⋊C4×C73—21no—
644C4⋊C4×C73—21no—
645C4⋊C4×C73—21no—
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73C2×D411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
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×C73C22×D411yescharacteristic
674C23×C73C22×D411yescharacteristic
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—21no—
678C22×D73—42no—
679C22×D73—42no—
680C22×D73—42no—
681C22×D73—81no—
682C22×D73—81no—
683C22×D73—81no—
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687D4×C73—21no—
688D4×C73—21no—
689D4×C73—41no—
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—21no—
703C2×C4×C73—81no—
704C2×C4×C73—81no—
705C2×C4×C73—81no—
706C2×C4×C73C22×D411yescharacteristic
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C2511yescharacteristic
711C22⋊D73—41no—
712C22⋊D73—41no—
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—81no—
726C2×Dic73—81no—
727C2×Dic73C22×D411yescharacteristic
728C2×Dic73C22×D411yescharacteristic
729C2×Dic73C22×D411yescharacteristic
730C2×Dic73C22×D411yescharacteristic
731C2×Dic73C22×D411yescharacteristic
732C2×Dic73C22×D411yescharacteristic
733C2×Dic73C22×D411yescharacteristic
734D292—21no—
735D292—21no—
736D292—21no—
737D292—21no—
738D292—21no—
739D292—42no—
740D292—42no—
741D292—81no—
742D2922−1+412yes—
743C4×D73—21no—
744C4×D73—21no—
745C4×D73—41no—
746C4×D73—41no—
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—
756C4×D73—81no—
757C4×D73—81no—
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—21no—
779C22×C73—21no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73C23×D411yescharacteristic
784C2×D73—21no—
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—22no—
788C2×D73—41no—
789C2×D73—41no—
790C2×D73—41no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—84no—
797C2×D73—162no—
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×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73C2×2−1+411yescharacteristic
810C4×C73#58511yescharacteristic
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—21no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62175—731nomaximal, Sylow
824C2×C73—41no—
825C2×C73—41no—
826C2×C73—81no—
827C2×C73#348911yescharacteristic
828C2×C73#358411yescharacteristic
829C2×C73#358511yescharacteristic
830D73—41no—
831D73—42no—
832D73—81no—
833D73—81no—
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#3351D7311yescharacteristic, complemented
843#3349—731no—
844#3343—731no—
845#3339—731no—
846#3324—731no—
847#3323—731no—
848#3322—731no—
849#3319—731no—
850#3318—731no—
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—1461no—
882#552C2×D7311yescharacteristic, complemented
883#551—1461no—
884#551—1461no—
885#547—731no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42—731no—
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#499C2×D7311yescharacteristic, complemented
916#498—731no—
917#490—731no—
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#485C2×D7311yescharacteristic, complemented
927#484—731no—
928#483—731no—
929#483C2×D7311yescharacteristic, complemented
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482C2×D7311yescharacteristic, complemented
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#479C2×D7311yescharacteristic, complemented
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, complemented
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#469—731no—
974#468—731no—
975#468—731no—
976#468—731no—
977#468C2×D7311yescharacteristic
978#468C2×D7311yescharacteristic, complemented
979#467—731no—
980#466—731no—
981#466—731no—
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#459—731no—
993#452—731no—
994#450—731no—
995#450—731no—
996#449—731no—
997#447—731no—
998#447—731no—
999#446—731no—
1000C8×Q8—731no—
1001#442—731no—
1002#442—731no—
1003#441—731no—
1004#440—731no—
1005C4×SD16—731no—
1006C4×SD16—731no—
1007C4×SD16—731no—
1008C4×SD16—731no—
1009C4×SD16C2×D7311yescharacteristic, complemented
1010C4×D8—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013#436—731no—
1014#436—731no—
1015#436C2×D7311yescharacteristic, complemented
1016#435—731no—
1017#435—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433—731no—
1021#431—731no—
1022#428—731no—
1023#428—731no—
1024#428C2×D7311yescharacteristic, complemented
1025#428C2×D7311yescharacteristic, complemented
1026#427—731no—
1027C2×#107—731no—
1028#424—731no—
1029#424—731no—
1030#423—731no—
1031#418—731no—
1032#418—731no—
1033#418—731no—
1034#417—731no—
1035#416—731no—
1036C2×#102—731no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C22×D4—731no—
1040C22×D4—731no—
1041C22×D4—1461no—
1042C23×C4—1461no—
1043C2×Q16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16—731no—
1047C2×SD16C22×D7311yescharacteristic
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×D8—731no—
1051C2×M16—731no—
1052C2×M16—731no—
1053C2×M16C22×D7311yescharacteristic
1054C2×M16C22×D7311yescharacteristic
1055C22×C8—731no—
1056C22×C8—731no—
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#127—731no—
1066#126—21no—
1067#126—21no—
1068#126—731no—
1069#126—731no—
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—21no—
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#125C22×D7311yescharacteristic
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—21no—
1109#123—731no—
1110#123—731no—
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—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—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8C22×D7311yescharacteristic
1149C22⋊Q8C22×D7311yescharacteristic
1150#121—21no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—731no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121C22×D7311yescharacteristic
1166#121C22×D7311yescharacteristic
1167#120—1461no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8C22×D7311yescharacteristic
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—731no—
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×D4—1461no—
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—21no—
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#117C22×D7311yescharacteristic
1220#117C22×D7311yescharacteristic
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—1461no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4C22×D7311yescharacteristic
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#107C22×D7311yescharacteristic
1243#107C22×D7311yescharacteristic
1244#107C22×D7311yescharacteristic
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#106C22×D7311yescharacteristic
1254#106C22×D7311yescharacteristic
1255#106C22×D7311yescharacteristic
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#103C22×D7311yescharacteristic
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
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#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
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#97—731no—
1308C4×C8—731no—
1309C4×C8—731no—
1310C4×C8—731no—
1311C4×C8C22×D7311yescharacteristic
1312C24—1461no—
1313C24—1461no—
1314#41—2921no—
1315#41—5842no—
1316#41—1462no—
1317C2×Q8—731no—
1318C2×Q8—731no—
1319C2×Q8—1461no—
1320C2×Q8—1461no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8C23×D7311yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—2921no—
1328C2×D4—2921no—
1329C2×D4—5842no—
1330C2×D4—731no—
1331C2×D4—731no—
1332C2×D4—731no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—1461no—
1336C2×D4—1462no—
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
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—41no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—2921no—
1377D8—2921no—
1378D8—1462no—
1379M16—41no—
1380M16—41no—
1381M16—2921no—
1382M16—2921no—
1383C2×C8—2921no—
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—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
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—731no—
1412C4⋊C4—731no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
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⋊C4D4×D7311yescharacteristic
1440C4⋊C4C23×D7311yescharacteristic
1441C4⋊C4C23×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—21no—
1492C42—21no—
1493C42—731no—
1494C42—731no—
1495C42—731no—
1496C42—731no—
1497C42—731no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42—1461no—
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—2922no—
1508C23—2922no—
1509C23—2922no—
1510C23—5841no—
1511C23—5841no—
1512C23—5841no—
1513C23—731no—
1514C23—1461no—
1515C23—1461no—
1516C23—1461no—
1517C23C2×D4×D7311yescharacteristic
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—2921no—
1522Q8—5841no—
1523Q8—5841no—
1524Q8—5841no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—1461no—
1528Q8—1461no—
1529D4—21no—
1530D4—21no—
1531D4—41no—
1532D4—81no—
1533D4—81no—
1534D4—2922no—
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—
1550D4—1461no—
1551D4—1461no—
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—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—2922no—
1567C2×C4—2921no—
1568C2×C4—2921no—
1569C2×C4—2922no—
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—5841no—
1580C2×C4—5841no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
1585C2×C4—731no—
1586C2×C4—731no—
1587C2×C4—731no—
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—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
1624C22—2921no—
1625C22—5844no—
1626C22—11682no—
1627C22—1462no—
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—41no—
1641C4—41no—
1642C4—41no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—1461no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C42−1+4×D7311yescharacteristic
1656C4#1798942311yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—2922no—
1661C2—2921no—
1662C2—5841no—
1663C2—5841no—
1664C2#2262360511yescharacteristic
1665C2#2262470411yescharacteristic
1666C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3351C2
socleC22×C73C23×D4
hypercenter#3351D73
hypocenterC73#62175
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
1. #22624579C2semidirect
2. #22623878C2semidirect
3. #22622892C2semidirect
4. #22622809C2semidirect
5. #22622695C2semidirect
6. #22622594C2semidirect
7. #22622522C2semidirect
8. #22622492C2semidirect
9. #22622465C2semidirect
10. #22622369C2semidirect
11. #22622327C2semidirect
12. #22622157C2semidirect
13. #22622142C2semidirect
14. #22622134C2semidirect
15. #22622085C2semidirect
16. #22622070C2semidirect
17. #22621760C2semidirect
18. #22621388C2semidirect
19. #22621337C2semidirect
20. #22621334C2semidirect
21. #22621225C2semidirect
22. #22621190C2semidirect
23. #22621111C2semidirect
24. #22620203C2semidirect
25. #22620118C2semidirect
26. #22619982C2semidirect
27. #22619781C2semidirect
28. #22619760C2semidirect
29. #22619726C2semidirect
30. #22619075C2semidirect
31. C73×#3351C2semidirect
35. #17989313C22semidirect
38. #17989300C22semidirect
40. #17989293C22semidirect
43. #17989283C22semidirect
44. #17989279C22semidirect
54. #17989218C22semidirect
55. #17989215C22semidirect
56. #17989210C22semidirect
57. #17989210C22semidirect
66. #17989143C22semidirect
67. #17989124C22semidirect
75. #17988994C22semidirect
76. #17988994C22semidirect
77. #17988988C22semidirect
78. #17988986C22semidirect
79. #17988984C22semidirect
81. #17988945C22semidirect
82. #17988944C22semidirect
83. #17988942C22semidirect
84. #17988940C22semidirect
86. #17988931C22semidirect
87. #17988930C22semidirect
88. #17988929C22semidirect
89. #17988921C22semidirect
90. #17988917C22semidirect
93. #17988911C22semidirect
94. #17988911C22semidirect
96. #17988907C22semidirect
97. #17988905C22semidirect
98. #17988903C22semidirect
99. #17988901C22semidirect
100. #17988897C22semidirect
101. #17988897C22semidirect
102. #17988892C22semidirect
104. #17988890C22semidirect
105. #17988890C22semidirect
107. #17988887C22semidirect
110. #17988886C22semidirect
111. #17988885C22semidirect
113. #17988884C22semidirect
114. #17988881C22semidirect
115. #17988881C22semidirect
116. #17988880C22semidirect
118. #17988876C22semidirect
119. #17988876C22semidirect
120. #17988875C22semidirect
121. #17988871C22semidirect
125. #17988866C22semidirect
126. #17988866C22semidirect
127. #17988865C22semidirect
128. #17988844C22semidirect
130. #17988840C22semidirect
132. #17988834C22semidirect
133. #17988833C22semidirect
134. #17988826C22semidirect
136. #17988821C22semidirect
137. #17988818C22semidirect
138. #17988812C22semidirect
139. #17988809C22semidirect
140. #17988807C22semidirect
142. #17988805C22semidirect
143. #17988804C22semidirect
144. #17988803C22semidirect
145. #17988801C22semidirect
154. #17988717C22semidirect
155. #17988711C22semidirect
158. #17988691C22semidirect
159. #17988690C22semidirect
161. #17988674C22semidirect
165. #17988669C22semidirect
166. C4×#11924013C22semidirect
168. #17988663C22semidirect
170. #17988655C22semidirect
171. D4×#10596831C22semidirect
172. #17988645C22semidirect
173. #17988645C22semidirect
174. #17988638C22semidirect
175. #17988628C22semidirect
176. #17988626C22semidirect
177. #17988623C22semidirect
178. C2×#14556524C22semidirect
179. #17988615C22semidirect
180. #17988615C22semidirect
181. #17988609C22semidirect
189. #552×C73C22semidirect
190. #499×C73C22semidirect
191. #485×C73C22semidirect
192. #483×C73C22semidirect
193. #482×C73C22semidirect
195. #479×C73C22semidirect
196. #478×C73C22semidirect
198. #468×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. #436×C73C22semidirect
201. #428×C73C22semidirect
202. #428×C73C22semidirect
842. #3351D73semidirect
865. C73#62175semidirect
882. #552C2×D73semidirect
915. #499C2×D73semidirect
926. #485C2×D73semidirect
929. #483C2×D73semidirect
935. #482C2×D73semidirect
944. #479C2×D73semidirect
956. #478C2×D73semidirect
978. #468C2×D73semidirect
1009. C4×SD16C2×D73semidirect
1015. #436C2×D73semidirect
1024. #428C2×D73semidirect
1025. #428C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245792
#226238782
#226228922
#226228092
#226226952
#226225942
#226225222
#226224922
#226224652
#226223692
#226223272
#226221572
#226221422
#226221342
#226220852
#226220702
#226217602
#226213882
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C73×#33512
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