Finite Group Databasebeta

← #33958680

Subgroups — #33958680

Order 18688.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623754C211yesmaximal, characteristic, complemented
2#22623351C211yesmaximal, characteristic
3#22621234C211yesmaximal, characteristic, complemented
4#22621221C211yesmaximal, characteristic, complemented
5#22621208C211yesmaximal, characteristic, complemented
6#22621189C211yesmaximal, characteristic, complemented
7#22621186C211yesmaximal, characteristic, complemented
8#22621184C211yesmaximal, characteristic, complemented
9#22621183C211yesmaximal, characteristic, complemented
10#22621175C211yesmaximal, characteristic, complemented
11#22621168C211yesmaximal, characteristic, complemented
12#22621122C211yesmaximal, characteristic, complemented
13#22621120C211yesmaximal, characteristic, complemented
14#22621102C211yesmaximal, characteristic, complemented
15#22621094C211yesmaximal, characteristic, complemented
16#22621068C211yesmaximal, characteristic, complemented
17#22621065C211yesmaximal, characteristic, complemented
18#22620466C211yesmaximal, characteristic, complemented
19#22620456C211yesmaximal, characteristic, complemented
20#22620284C211yesmaximal, characteristic, complemented
21#22620282C211yesmaximal, characteristic, complemented
22#22619915C211yesmaximal, characteristic, complemented
23#22619912C211yesmaximal, characteristic, complemented
24#22619888C211yesmaximal, characteristic, complemented
25#22619884C211yesmaximal, characteristic, complemented
26#22619750C211yesmaximal, characteristic, complemented
27#22619729C211yesmaximal, characteristic, complemented
28#22619714C211yesmaximal, characteristic, complemented
29#478×D73C211yesmaximal, characteristic, complemented
30#22618594C211yesmaximal, characteristic, complemented
31C73×#3244C211yesmaximal, characteristic, complemented
32#17989314—21no—
33#17989312—21no—
34#17989298—21no—
35#17989295—21no—
36#17989295—21no—
37#17989293—21no—
38#17989291—21no—
39#17989291—21no—
40#17989217C2211yescharacteristic
41#17989217C2211yescharacteristic, complemented
42#17989215C2211yescharacteristic, complemented
43#17989214C2211yescharacteristic
44#17989214C2211yescharacteristic
45#17989214C2211yescharacteristic, complemented
46#17989209C2211yescharacteristic
47#17989207—21no—
48#17989192C2211yescharacteristic
49#17989189—21no—
50#17989188C2211yescharacteristic
51#17989176—21no—
52#17989171—21no—
53#17989167C2211yescharacteristic
54#17989155C2211yescharacteristic
55#17989153C2211yescharacteristic
56#17989142C2211yescharacteristic
57#17989142C2211yescharacteristic, complemented
58#17989140C2211yescharacteristic, complemented
59#17989138C2211yescharacteristic
60#17989136—21no—
61#17989132C2211yescharacteristic
62#17989123C2211yescharacteristic
63#17989120—21no—
64#17989116C2211yescharacteristic
65C2×#14556582C2211yescharacteristic, complemented
66#125×D73C2211yescharacteristic
67#125×D73C2211yescharacteristic, complemented
68#17989100—21no—
69#17989095—21no—
70#17989068C2211yescharacteristic
71#17989067C2211yescharacteristic
72C4×#11924029C2211yescharacteristic
73#17989055C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988996C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988993C2211yescharacteristic, complemented
81#17988993C2211yescharacteristic, complemented
82#17988991C2211yescharacteristic, complemented
83#17988990C2211yescharacteristic, complemented
84#17988989C2211yescharacteristic, complemented
85#17988987C2211yescharacteristic, complemented
86#17988987C2211yescharacteristic, complemented
87#17988986C2211yescharacteristic, complemented
88#17988984C2211yescharacteristic, complemented
89#17988953C2211yescharacteristic
90#17988952C2211yescharacteristic
91#17988950C2211yescharacteristic
92#17988950C2211yescharacteristic
93#17988948C2211yescharacteristic
94#17988948C2211yescharacteristic
95#17988946C2211yescharacteristic
96#17988943C2211yescharacteristic
97#17988943C2211yescharacteristic
98#17988941C2211yescharacteristic
99#17988935C2211yescharacteristic
100#17988934C2211yescharacteristic
101#17988932C2211yescharacteristic
102#17988932C2211yescharacteristic
103#17988927C2211yescharacteristic, complemented
104#17988927C2211yescharacteristic, complemented
105#17988925C2211yescharacteristic, complemented
106#17988921C2211yescharacteristic, complemented
107#17988920C2211yescharacteristic, complemented
108#17988916C2211yescharacteristic, complemented
109#17988913C2211yescharacteristic
110#17988913C2211yescharacteristic
111#17988913C2211yescharacteristic, complemented
112#17988913C2211yescharacteristic, complemented
113#17988912C2211yescharacteristic
114#17988912C2211yescharacteristic, complemented
115#17988911C2211yescharacteristic
116#17988911C2211yescharacteristic, complemented
117#17988910C2211yescharacteristic
118#17988910C2211yescharacteristic
119#17988908C2211yescharacteristic
120#17988907C2211yescharacteristic
121#17988907C2211yescharacteristic, complemented
122#17988906C2211yescharacteristic
123#17988905C2211yescharacteristic, complemented
124#17988904C2211yescharacteristic
125#17988902C2211yescharacteristic
126#17988902C2211yescharacteristic, complemented
127#17988901C2211yescharacteristic, complemented
128#17988900C2211yescharacteristic
129#17988899C2211yescharacteristic
130#17988898C2211yescharacteristic
131#17988896C2211yescharacteristic, complemented
132#17988894C2211yescharacteristic, complemented
133#17988892C2211yescharacteristic, complemented
134#17988892C2211yescharacteristic, complemented
135#17988892C2211yescharacteristic, complemented
136#17988890C2211yescharacteristic
137#17988890C2211yescharacteristic, complemented
138#17988889C2211yescharacteristic
139#17988888C2211yescharacteristic
140#17988888C2211yescharacteristic, complemented
141#17988887C2211yescharacteristic
142#17988886C2211yescharacteristic
143#17988886C2211yescharacteristic
144#17988886C2211yescharacteristic
145#17988886C2211yescharacteristic, complemented
146#17988886C2211yescharacteristic, complemented
147#17988886C2211yescharacteristic, complemented
148#17988885C2211yescharacteristic
149#17988885C2211yescharacteristic
150#17988885C2211yescharacteristic
151#17988884C2211yescharacteristic
152#17988884C2211yescharacteristic, complemented
153#17988882C2211yescharacteristic, complemented
154#17988878C2211yescharacteristic, complemented
155#17988874C2211yescharacteristic
156#17988868C2211yescharacteristic
157#17988867C2211yescharacteristic
158#17988864C2211yescharacteristic, complemented
159#17988648C2211yescharacteristic, complemented
160#17988647C2211yescharacteristic, complemented
161#17988647C2211yescharacteristic, complemented
162#17988642C2211yescharacteristic, complemented
163#17988641C2211yescharacteristic, complemented
164#17988638C2211yescharacteristic, complemented
165#17988637C2211yescharacteristic, complemented
166#17988628C2211yescharacteristic
167#17988626C2211yescharacteristic
168#17988626C2211yescharacteristic
169#17988626C2211yescharacteristic
170#17988622C2211yescharacteristic
171#17988622C2211yescharacteristic
172#107×D73C2211yescharacteristic
173#106×D73C2211yescharacteristic
174#17988609C2211yescharacteristic
175C4⋊C8×D73C2211yescharacteristic
176#17988590C2211yescharacteristic
177#17988590C2211yescharacteristic
178#17988587C2211yescharacteristic
179#17988587C2211yescharacteristic
180#17988582C2211yescharacteristic
181#17988582C2211yescharacteristic
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988544C2211yescharacteristic
187#17988541C2211yescharacteristic
188#544×C73C2211yescharacteristic, complemented
189#542×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#498×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic
193#488×C73C2211yescharacteristic
194#485×C73C2211yescharacteristic, complemented
195#483×C73C2211yescharacteristic, complemented
196#482×C73C2211yescharacteristic
197#481×C73C2211yescharacteristic
198#479×C73C2211yescharacteristic, complemented
199#478×C73C2211yescharacteristic
200#476×C73C2211yescharacteristic
201#475×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×D4×D73C2311yescharacteristic
208C22×C4×D73—21no—
209C2×#11924011C2311yescharacteristic
210C2×#11924011C2311yescharacteristic
211C2×C8×D73C2311yescharacteristic
212C2×C8×D73C2311yescharacteristic
213#14556591C2311yescharacteristic
214#14556591C2311yescharacteristic
215#14556590—21no—
216#14556590—21no—
217#14556590—21no—
218#14556590C2311yescharacteristic
219#14556590C2311yescharacteristic
220#14556590C2311yescharacteristic
221#14556589—21no—
222#14556589—21no—
223#14556589—21no—
224#14556588C2311yescharacteristic
225#14556587—21no—
226#14556587C2311yescharacteristic
227#14556586—21no—
228#14556585—21no—
229#14556584—21no—
230#14556583C2311yescharacteristic
231#14556583C2311yescharacteristic
232#14556583C2311yescharacteristic
233#14556582—21no—
234#14556582—21no—
235#14556582—21no—
236#14556582C2311yescharacteristic
237#14556582C2311yescharacteristic
238#14556582C2311yescharacteristic
239#14556582C2311yescharacteristic
240#14556582C2311yescharacteristic
241#14556582C2311yescharacteristic
242#14556582C2311yescharacteristic
243#14556581—21no—
244#14556581—21no—
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556580—21no—
253#14556580C2311yescharacteristic
254#14556579—21no—
255#14556577—21no—
256#14556577—21no—
257#14556576—21no—
258#14556576—21no—
259#14556576—21no—
260#14556575—21no—
261#14556574—21no—
262#14556573—21no—
263#14556573—21no—
264#14556571—21no—
265#14556571—21no—
266#14556571—21no—
267#14556571—21no—
268#14556569—21no—
269#14556569—21no—
270#14556569—21no—
271#14556569—21no—
272#14556569—21no—
273#14556569—21no—
274#14556569—21no—
275#14556568—21no—
276#14556568—21no—
277#14556568—21no—
278#14556568—21no—
279#14556567—21no—
280#14556567—21no—
281#14556567—21no—
282#14556567—21no—
283#14556567—21no—
284#14556567C2311yescharacteristic
285#14556566—21no—
286#14556566—21no—
287#14556566C2311yescharacteristic
288#14556566C2311yescharacteristic
289#14556565—21no—
290#14556565C2311yescharacteristic
291#14556565C2311yescharacteristic
292#14556564—21no—
293#14556564—21no—
294#14556564—21no—
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556563—21no—
300#14556562C2311yescharacteristic
301#14556561—21no—
302#14556561—21no—
303#14556561—21no—
304#14556559—21no—
305Q8×Dic73—21no—
306Q8×Dic73—21no—
307Q8×Dic73C2311yescharacteristic
308C4×Dic146—21no—
309C4×Dic146—21no—
310C4×Dic146—21no—
311#14556556—21no—
312#14556556—21no—
313#14556556—21no—
314#14556556D411yescharacteristic
315#14556556D411yescharacteristic
316C4×D292—21no—
317C4×D292—21no—
318C4×D292C2311yescharacteristic
319C4×D292C2311yescharacteristic
320D4×Dic73C2311yescharacteristic
321#14556553—21no—
322#14556553—21no—
323#14556553—21no—
324#14556553D411yescharacteristic
325#14556553D411yescharacteristic
326#14556553C2311yescharacteristic
327#14556553C2311yescharacteristic
328C4×C22⋊D73—21no—
329C4×C22⋊D73—21no—
330C4×C22⋊D73—21no—
331#14556551—21no—
332#14556551—21no—
333#14556551—21no—
334#14556551—21no—
335#14556551—21no—
336#14556551—21no—
337#14556551D411yescharacteristic
338#14556551D411yescharacteristic
339#14556551D411yescharacteristic
340#14556551D411yescharacteristic
341#14556550C2311yescharacteristic
342#14556549—21no—
343#14556549—21no—
344#14556549C2311yescharacteristic
345#14556549C2311yescharacteristic
346#14556549C2311yescharacteristic
347#14556549C2311yescharacteristic
348#14556549C2311yescharacteristic
349#14556548C2311yescharacteristic
350#14556548C2311yescharacteristic
351#14556547—21no—
352C2×C4⋊Dic73—21no—
353C2×C4⋊Dic73C2311yescharacteristic
354C2×#11924007—21no—
355C4⋊C4×D73—21no—
356C4⋊C4×D73—21no—
357C4⋊C4×D73—21no—
358C4⋊C4×D73—21no—
359C4⋊C4×D73C2311yescharacteristic
360C4⋊C4×D73C2311yescharacteristic
361C4⋊C4×D73C2311yescharacteristic
362C4⋊C4×D73C2311yescharacteristic
363C4⋊C4×D73C2311yescharacteristic
364C22⋊C4×D73—21no—
365C2×C4×Dic73C2311yescharacteristic
366C42×D73—21no—
367C42×D73C2311yescharacteristic
368C42×D73C2311yescharacteristic
369#14556525C2311yescharacteristic
370#14556525C2311yescharacteristic
371#14556525C2311yescharacteristic
372#14556525C2311yescharacteristic
373#14556524C2311yescharacteristic
374#14556524C2311yescharacteristic
375#14556524C2311yescharacteristic
376#14556524C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556515C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556513C2311yescharacteristic
404#14556513C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C4⋊Q8×C73—21no—
436C4⋊Q8×C73C2311yescharacteristic
437C4⋊Q8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#126×C73—21no—
440#125×C73—21no—
441#125×C73C2311yescharacteristic
442#125×C73C2311yescharacteristic
443#124×C73—21no—
444#124×C73C2311yescharacteristic
445#123×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C4⋊C4×C73C2311yescharacteristic
456#107×C73C2311yescharacteristic
457#107×C73C2311yescharacteristic
458#106×C73C2311yescharacteristic
459#106×C73C2311yescharacteristic
460#106×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479#11924029—22no—
480#11924029—22no—
481#11924029—82no—
482#11924028—22no—
483#11924028—22no—
484#11924027—82no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146C2×D411yescharacteristic
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292C2×D411yescharacteristic
497C2×D292C2411yescharacteristic
498C2×D292C2411yescharacteristic
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—22no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73C2×D411yescharacteristic
512C22×Dic73C2×D411yescharacteristic
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×D73C2×D411yescharacteristic
527C2×C4×D73C2×D411yescharacteristic
528C2×C4×D73C2411yescharacteristic
529C2×C4×D73C2411yescharacteristic
530#11924011—22no—
531#11924011—22no—
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C2×#10596831C2411yescharacteristic
535C2×#10596831C2411yescharacteristic
536C8×D73—22no—
537C8×D73—22no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579#11924007C2×D411yescharacteristic
580#11924007C2×D411yescharacteristic
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584#11924005—21no—
585#11924005—21no—
586#11924005—21no—
587#11924005—21no—
588#11924005—21no—
589#11924005—21no—
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#11924005C2×D411yescharacteristic
601#11924005C2×D411yescharacteristic
602#11924005C2×D411yescharacteristic
603#11924005C2×D411yescharacteristic
604C4×Dic73—21no—
605C4×Dic73—21no—
606C4×Dic73—21no—
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73C2×D411yescharacteristic
612C4×Dic73C2×D411yescharacteristic
613C4×Dic73C2×D411yescharacteristic
614C4×Dic73C2×D411yescharacteristic
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2×D411yescharacteristic
617C4×Dic73C2411yescharacteristic
618C4×Dic73C2411yescharacteristic
619C2×Q8×C73—21no—
620C2×Q8×C73—21no—
621C2×Q8×C73—21no—
622C2×Q8×C73C2411yescharacteristic
623C2×D4×C73—21no—
624C2×D4×C73C2411yescharacteristic
625C22×C4×C73—21no—
626C22×C4×C73—21no—
627C22×C4×C73C2411yescharacteristic
628C2×C8×C73C2411yescharacteristic
629C2×C8×C73C2411yescharacteristic
630C2×C8×C73C2411yescharacteristic
631C2×C8×C73C2411yescharacteristic
632C4⋊C4×C73—21no—
633C4⋊C4×C73—21no—
634C4⋊C4×C73—21no—
635C4⋊C4×C73—21no—
636C4⋊C4×C73—21no—
637C4⋊C4×C73—21no—
638C4⋊C4×C73—21no—
639C4⋊C4×C73—21no—
640C4⋊C4×C73—21no—
641C4⋊C4×C73—21no—
642C4⋊C4×C73C2×D411yescharacteristic
643C4⋊C4×C73C2×D411yescharacteristic
644C4⋊C4×C73C2411yescharacteristic
645C4⋊C4×C73C2411yescharacteristic
646C4⋊C4×C73C2411yescharacteristic
647C4⋊C4×C73C2411yescharacteristic
648C4⋊C4×C73C2411yescharacteristic
649C4⋊C4×C73C2411yescharacteristic
650C22⋊C4×C73—21no—
651C22⋊C4×C73—21no—
652C22⋊C4×C73—21no—
653C22⋊C4×C73—21no—
654C22⋊C4×C73—21no—
655C22⋊C4×C73—21no—
656C22⋊C4×C73C2×D411yescharacteristic
657C22⋊C4×C73C2×D411yescharacteristic
658C42×C73—21no—
659C42×C73—21no—
660C42×C73C2411yescharacteristic
661C42×C73C2411yescharacteristic
662C23×C73—21no—
663C23×C73C22×D411yescharacteristic
664C22×D73—21no—
665C22×D73—21no—
666C22×D73—42no—
667C22×D73—81no—
668C22×D73—81no—
669C22×D73C22×D411yescharacteristic
670C22×D73C22×D411yescharacteristic
671Q8×C73—21no—
672Q8×C73—21no—
673Q8×C73—81no—
674Q8×C73—81no—
675Q8×C73—81no—
676D4×C73—21no—
677D4×C73—21no—
678D4×C73—81no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—81no—
689C2×C4×C73—81no—
690C2×C4×C73C22×D411yescharacteristic
691C2×C4×C73C22×D411yescharacteristic
692C2×C4×C73C22×D411yescharacteristic
693C2×C4×C73C22×D411yescharacteristic
694C2×C4×C73C22×D411yescharacteristic
695C2×C4×C73C2511yescharacteristic
696C22⋊D73—22no—
697C22⋊D73—22no—
698C22⋊D73—42no—
699C22⋊D73—81no—
700C22⋊D73—81no—
701C22⋊D73—81no—
702C22⋊D73—81no—
703C22⋊D73—81no—
704C2×Dic73—21no—
705C2×Dic73—21no—
706C2×Dic73—21no—
707C2×Dic73—21no—
708C2×Dic73—21no—
709C2×Dic73—21no—
710C2×Dic73—41no—
711C2×Dic73—41no—
712C2×Dic73—42no—
713C2×Dic73—81no—
714C2×Dic73C22×D411yescharacteristic
715C2×Dic73C22×D411yescharacteristic
716C2×Dic73C22×D411yescharacteristic
717C2×Dic73C22×D411yescharacteristic
718C2×Dic73C22×D411yescharacteristic
719C2×Dic73C22×D411yescharacteristic
720D292—22no—
721D292—21no—
722D292—21no—
723D292—21no—
724D292—21no—
725D292—42no—
726D292—81no—
727D292—81no—
728D292—81no—
729D292—81no—
730C4×D73—21no—
731C4×D73—21no—
732C4×D73—41no—
733C4×D73—41no—
734C4×D73—41no—
735C4×D73—41no—
736C4×D73—42no—
737C4×D73—42no—
738C4×D73—42no—
739C4×D73—81no—
740C4×D73—81no—
741C4×D73—81no—
742C4×D73—81no—
743C4×D73—81no—
744C4×D73—81no—
745C4×D73—81no—
746C4×D732−1+412yes—
747C4×D732−1+412yes—
748Dic146—22no—
749Dic146—81no—
750Dic146—81no—
751Dic146—81no—
752Dic146—81no—
753Dic146—81no—
754C8×C73—21no—
755C8×C73—21no—
756C8×C73—21no—
757C8×C73—21no—
758#10596831—21no—
759#10596831—21no—
760#10596831—21no—
761#10596831—21no—
762C22×C73—21no—
763C22×C73—21no—
764C22×C73—21no—
765C22×C73—41no—
766C22×C73—41no—
767C22×C73—41no—
768C22×C73C23×D411yescharacteristic
769C2×D73—21no—
770C2×D73—21no—
771C2×D73—21no—
772C2×D73—21no—
773C2×D73—21no—
774C2×D73—41no—
775C2×D73—41no—
776C2×D73—41no—
777C2×D73—41no—
778C2×D73—41no—
779C2×D73—41no—
780C2×D73—84no—
781C2×D73#53612yes—
782C4×C73—21no—
783C4×C73—21no—
784C4×C73—21no—
785C4×C73—21no—
786C4×C73—21no—
787C4×C73—41no—
788C4×C73—41no—
789C4×C73—41no—
790C4×C73—41no—
791C4×C73—41no—
792C4×C73—41no—
793C4×C73—41no—
794C4×C73C2×2−1+411yescharacteristic
795C4×C73C2×2−1+411yescharacteristic
796Dic73—21no—
797Dic73—21no—
798Dic73—21no—
799Dic73—21no—
800Dic73—21no—
801Dic73—41no—
802Dic73—41no—
803Dic73—41no—
804Dic73—41no—
805Dic73—41no—
806Dic73—41no—
807Dic73#53612yes—
808#60890—731nomaximal, Sylow
809C2×C73—41no—
810C2×C73—81no—
811C2×C73C2×#53611yescharacteristic
812C2×C73#358411yescharacteristic
813C2×C73#358511yescharacteristic
814D73—22no—
815D73—41no—
816D73—81no—
817D73—81no—
818#3504—731no—
819#3460—731no—
820#3244—731no—
821#3244D7311yescharacteristic, complemented
822#3243—731no—
823#3243—731no—
824#3241—731no—
825#3241—731no—
826#3241—731no—
827#3241—731no—
828#3240—731no—
829#3240—731no—
830#3234—731no—
831#3234—731no—
832#3232—731no—
833#3232—731no—
834#3228—731no—
835#3228—731no—
836#3164—731no—
837#3163—731no—
838#3136—731no—
839#3136—731no—
840#3099—731no—
841#3098—731no—
842#3096—731no—
843#3096—731no—
844#3080—731no—
845#3077—731no—
846#3076—731no—
847C2×#478—731no—
848#2925—731no—
849C73#6089011yescharacteristic, complemented, Sylow
850#557—1461no—
851#557—1461no—
852#554—1461no—
853#554—1461no—
854#554—1461no—
855#554—1461no—
856#554—1461no—
857#554—1461no—
858#544—731no—
859#544—731no—
860#544—731no—
861#544—731no—
862#544—731no—
863#544—731no—
864#544C2×D7311yescharacteristic, complemented
865#542—731no—
866#542—1461no—
867#542C2×D7311yescharacteristic
868#540—731no—
869#540—731no—
870#540—1461no—
871#538—1461no—
872#538—1461no—
873#537—731no—
874#535—731no—
875#535—731no—
876#533—731no—
877#533—731no—
878#533—731no—
879#532—731no—
880#532—731no—
881#532—1461no—
882#529—731no—
883#529—731no—
884#529—1461no—
885C2×#125—731no—
886C2×#125—731no—
887C2×#125—731no—
888#525—1461no—
889#525—1461no—
890#520—731no—
891#520—731no—
892C4×#41—731no—
893C4×#41—731no—
894C2×C4×D4—731no—
895#501—731no—
896#501—731no—
897#501—731no—
898#501—731no—
899#501—731no—
900#501—731no—
901#501—731no—
902#501C2×D7311yescharacteristic, complemented
903#500—731no—
904#500—731no—
905#499—731no—
906#499—731no—
907#499—731no—
908#499—731no—
909#498—731no—
910#498C2×D7311yescharacteristic, complemented
911#490—731no—
912#490—731no—
913#490—731no—
914#490—731no—
915#489—731no—
916#489—731no—
917#489—731no—
918#489C2×D7311yescharacteristic
919#488—731no—
920#488—731no—
921#488—731no—
922#488C2×D7311yescharacteristic
923#486—731no—
924#486—731no—
925#486—731no—
926#486—731no—
927#485—731no—
928#485—731no—
929#485—731no—
930#485C2×D7311yescharacteristic, complemented
931#484—731no—
932#484—731no—
933#483—731no—
934#483C2×D7311yescharacteristic, complemented
935#482—731no—
936#482—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#482—731no—
942#482—731no—
943#482—731no—
944#482—731no—
945#482—731no—
946#482C2×D7311yescharacteristic
947#481—731no—
948#481—731no—
949#481—731no—
950#481—731no—
951#481—731no—
952#481C2×D7311yescharacteristic
953#480—731no—
954#480—731no—
955#480—731no—
956#480—731no—
957#480—731no—
958#480—731no—
959#479—731no—
960#479—731no—
961#479—731no—
962#479—731no—
963#479—731no—
964#479C2×D7311yescharacteristic, complemented
965#478—731no—
966#478—731no—
967#478—731no—
968#478—731no—
969#478—731no—
970#478—731no—
971#478—731no—
972#478—731no—
973#478—731no—
974#478—731no—
975#478—731no—
976#478—731no—
977#478—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478C2×D7311yescharacteristic
983#477—731no—
984#476—731no—
985#476—731no—
986#476C2×D7311yescharacteristic
987#475C2×D7311yescharacteristic, complemented
988#474—731no—
989#474—731no—
990#474—731no—
991#433—731no—
992#433—731no—
993#433—731no—
994#433C2×D7311yescharacteristic, complemented
995#432—731no—
996#432—731no—
997#431—731no—
998#431—731no—
999#428—731no—
1000#428—731no—
1001#428—731no—
1002#428—731no—
1003#427—731no—
1004#427—731no—
1005C2×#107—731no—
1006C2×#106—731no—
1007#423—731no—
1008C2×C4⋊C8—731no—
1009#418—731no—
1010#418—731no—
1011#417—731no—
1012#417—731no—
1013#416—731no—
1014#416—731no—
1015C2×#102—731no—
1016C2×#102—731no—
1017#408—731no—
1018#408—731no—
1019#405—731no—
1020#405—731no—
1021C2×#41—731no—
1022C2×#41—731no—
1023C2×#41—1461no—
1024C2×#41—1461no—
1025C22×D4—731no—
1026C23×C4—1461no—
1027C2×M16—731no—
1028C2×M16—731no—
1029C22×C8—731no—
1030C22×C8—731no—
1031C4⋊Q8—21no—
1032C4⋊Q8—731no—
1033C4⋊Q8—731no—
1034C4⋊Q8—731no—
1035C4⋊Q8—731no—
1036C4⋊Q8—731no—
1037C4⋊Q8—1461no—
1038C4⋊Q8—1461no—
1039C4⋊Q8—1461no—
1040C4⋊Q8—1461no—
1041C4⋊Q8—1461no—
1042C4⋊Q8—1461no—
1043C4⋊Q8C22×D7311yescharacteristic
1044C4⋊Q8C22×D7311yescharacteristic
1045C4⋊Q8C22×D7311yescharacteristic
1046#127—731no—
1047#127—731no—
1048#127—1461no—
1049#126—21no—
1050#126—1461no—
1051#126—1461no—
1052#126—1461no—
1053#125—21no—
1054#125—731no—
1055#125—731no—
1056#125—731no—
1057#125—731no—
1058#125—731no—
1059#125—731no—
1060#125—731no—
1061#125—731no—
1062#125—731no—
1063#125—731no—
1064#125—1461no—
1065#125—1461no—
1066#125—1461no—
1067#125—1461no—
1068#125—1461no—
1069#125—1461no—
1070#125—1461no—
1071#125—1461no—
1072#125—1461no—
1073#125—1461no—
1074#125—1461no—
1075#125—1461no—
1076#125C22×D7311yescharacteristic
1077#125C22×D7311yescharacteristic
1078#124—21no—
1079#124—731no—
1080#124—1461no—
1081#124—1461no—
1082#124—1461no—
1083#124—1461no—
1084#124C22×D7311yescharacteristic
1085#123—21no—
1086#123—1461no—
1087#123—1461no—
1088#123—1461no—
1089#123—1461no—
1090#123—1461no—
1091#123—1461no—
1092#123—1461no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—731no—
1097C22⋊Q8—1461no—
1098C22⋊Q8—1461no—
1099C22⋊Q8—1461no—
1100C22⋊Q8—1461no—
1101C22⋊Q8—1461no—
1102C22⋊Q8—1461no—
1103C22⋊Q8—1461no—
1104C22⋊Q8—1461no—
1105C22⋊Q8—1461no—
1106C22⋊Q8—1461no—
1107C22⋊Q8—1461no—
1108C22⋊Q8—1461no—
1109C22⋊Q8—1461no—
1110C22⋊Q8—1461no—
1111C22⋊Q8—1461no—
1112C22⋊Q8—1461no—
1113C22⋊Q8—1461no—
1114C22⋊Q8—1461no—
1115C22⋊Q8—1461no—
1116C22⋊Q8—1461no—
1117C22⋊Q8C22×D7311yescharacteristic
1118#121—731no—
1119#121—731no—
1120#121—731no—
1121#121—731no—
1122#121—731no—
1123#121—1461no—
1124#121—1461no—
1125#121—1461no—
1126#121—1461no—
1127#121—1461no—
1128#121—1461no—
1129#121—1461no—
1130#121—1461no—
1131#121—1461no—
1132#121—1461no—
1133#121—1461no—
1134#121C22×D7311yescharacteristic
1135#120—1461no—
1136#120—1461no—
1137#120—1461no—
1138#120—1461no—
1139C4×Q8—731no—
1140C4×Q8—731no—
1141C4×Q8—731no—
1142C4×Q8—1461no—
1143C4×Q8—1461no—
1144C4×Q8—1461no—
1145C4×Q8—1461no—
1146C4×Q8—1461no—
1147C4×Q8—1461no—
1148C4×Q8—1461no—
1149C4×Q8—1461no—
1150C4×Q8C22×D7311yescharacteristic
1151C4×D4—731no—
1152C4×D4—731no—
1153C4×D4—731no—
1154C4×D4—731no—
1155C4×D4—731no—
1156C4×D4—731no—
1157C4×D4—731no—
1158C4×D4—731no—
1159C4×D4—731no—
1160C4×D4—731no—
1161C4×D4—731no—
1162C4×D4—1461no—
1163C4×D4—1461no—
1164C4×D4—1461no—
1165C4×D4—1461no—
1166C4×D4—1461no—
1167C4×D4—1461no—
1168C4×D4—1461no—
1169C4×D4—1461no—
1170C4×D4—1461no—
1171C4×D4—1461no—
1172C4×D4—1461no—
1173C4×D4—1461no—
1174C4×D4—1461no—
1175C4×D4—1461no—
1176C4×D4C22×D7311yescharacteristic
1177#117—731no—
1178#117—731no—
1179#117—731no—
1180#117—731no—
1181#117—731no—
1182#117—731no—
1183#117—731no—
1184#117—731no—
1185#117—1461no—
1186#117—1461no—
1187#117—1461no—
1188#117C22×D7311yescharacteristic
1189#117C22×D7311yescharacteristic
1190C2×C4⋊C4—731no—
1191C2×C4⋊C4—731no—
1192C2×C4⋊C4—731no—
1193C2×C4⋊C4—731no—
1194C2×C4⋊C4—731no—
1195C2×C4⋊C4—731no—
1196C2×C4⋊C4—1461no—
1197C2×C4⋊C4—1461no—
1198C2×C4⋊C4—1461no—
1199C2×C4⋊C4—1461no—
1200C2×C4⋊C4—1461no—
1201C2×C4⋊C4—1461no—
1202C2×C4⋊C4C22×D7311yescharacteristic
1203C2×C22⋊C4—1461no—
1204C2×C42—731no—
1205C2×C42—731no—
1206C2×C42—731no—
1207C2×C42—1461no—
1208#107—731no—
1209#107—731no—
1210#107—731no—
1211#107—731no—
1212#107—731no—
1213#107—731no—
1214#107—731no—
1215#107—731no—
1216#107—731no—
1217#107—731no—
1218#107—731no—
1219#107—731no—
1220#107—731no—
1221#107—731no—
1222#107C22×D7311yescharacteristic
1223#107C22×D7311yescharacteristic
1224#106—731no—
1225#106—731no—
1226#106—731no—
1227#106—731no—
1228#106—731no—
1229#106—731no—
1230#106—731no—
1231#106—731no—
1232#106—731no—
1233#106—731no—
1234#106C22×D7311yescharacteristic
1235#106C22×D7311yescharacteristic
1236#106C22×D7311yescharacteristic
1237#106C22×D7311yescharacteristic
1238#106C22×D7311yescharacteristic
1239#106C22×D7311yescharacteristic
1240C4⋊C8—731no—
1241C4⋊C8—731no—
1242C4⋊C8—731no—
1243C4⋊C8—731no—
1244C4⋊C8—731no—
1245C4⋊C8—731no—
1246C4⋊C8C22×D7311yescharacteristic
1247C4⋊C8C22×D7311yescharacteristic
1248#103—731no—
1249#103—731no—
1250#103—731no—
1251#103—731no—
1252#103C22×D7311yescharacteristic
1253#103C22×D7311yescharacteristic
1254#103C22×D7311yescharacteristic
1255#103C22×D7311yescharacteristic
1256#102—731no—
1257#102—731no—
1258#102—731no—
1259#102—731no—
1260#102—731no—
1261#102—731no—
1262#102—731no—
1263#102—731no—
1264#102—731no—
1265#102—731no—
1266#102—731no—
1267#102—731no—
1268#102—731no—
1269#102—731no—
1270#102—731no—
1271#102—731no—
1272#102—731no—
1273#102—731no—
1274#102—731no—
1275#102—731no—
1276#102C22×D7311yescharacteristic
1277#102C22×D7311yescharacteristic
1278#102C22×D7311yescharacteristic
1279#102C22×D7311yescharacteristic
1280C22⋊C8—731no—
1281C22⋊C8—731no—
1282C22⋊C8—731no—
1283C22⋊C8—731no—
1284C22⋊C8—731no—
1285C22⋊C8—731no—
1286C22⋊C8C22×D7311yescharacteristic
1287C22⋊C8C22×D7311yescharacteristic
1288#97—731no—
1289#97—731no—
1290#97—731no—
1291#97C22×D7311yescharacteristic
1292C4×C8—731no—
1293C4×C8—731no—
1294C4×C8—731no—
1295C4×C8C22×D7311yescharacteristic
1296C24—1461no—
1297#41—5842no—
1298#41—5842no—
1299#41—1462no—
1300#41—1462no—
1301#41—1462no—
1302#41—1462no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—21no—
1306C2×Q8—731no—
1307C2×Q8—1461no—
1308C2×Q8—1461no—
1309C2×Q8—1461no—
1310C2×Q8—1461no—
1311C2×Q8—1461no—
1312C2×Q8C23×D7311yescharacteristic
1313C2×D4—21no—
1314C2×D4—731no—
1315C2×D4—731no—
1316C2×D4—731no—
1317C2×D4—731no—
1318C2×D4—731no—
1319C2×D4—1461no—
1320C2×D4—1461no—
1321C2×D4—1461no—
1322C2×D4—1462no—
1323C2×D4—1462no—
1324C2×D4—1461no—
1325C2×D4—1461no—
1326C2×D4—1461no—
1327C2×D4—1461no—
1328C2×D4—1461no—
1329C2×D4—1461no—
1330C2×D4—1461no—
1331C2×D4—1461no—
1332C2×D4C23×D7311yescharacteristic
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—5842no—
1336C22×C4—731no—
1337C22×C4—731no—
1338C22×C4—731no—
1339C22×C4—731no—
1340C22×C4—731no—
1341C22×C4—731no—
1342C22×C4—731no—
1343C22×C4—731no—
1344C22×C4—1461no—
1345C22×C4—1461no—
1346C22×C4—1461no—
1347C22×C4—1461no—
1348C22×C4—1461no—
1349C22×C4—1461no—
1350C22×C4—1461no—
1351C22×C4—1461no—
1352C22×C4—1461no—
1353C22×C4—1461no—
1354C22×C4—1461no—
1355C22×C4—1461no—
1356C22×C4C23×D7311yescharacteristic
1357M16—1462no—
1358M16—1462no—
1359C2×C8—731no—
1360C2×C8—731no—
1361C2×C8—731no—
1362C2×C8—731no—
1363C2×C8—1462no—
1364C2×C8—1462no—
1365C2×C8C23×D7311yescharacteristic
1366C2×C8C23×D7311yescharacteristic
1367C2×C8C23×D7311yescharacteristic
1368C2×C8C23×D7311yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—731no—
1380C4⋊C4—731no—
1381C4⋊C4—731no—
1382C4⋊C4—731no—
1383C4⋊C4—731no—
1384C4⋊C4—731no—
1385C4⋊C4—731no—
1386C4⋊C4—731no—
1387C4⋊C4—731no—
1388C4⋊C4—731no—
1389C4⋊C4—1461no—
1390C4⋊C4—1461no—
1391C4⋊C4—1461no—
1392C4⋊C4—1461no—
1393C4⋊C4—1461no—
1394C4⋊C4—1461no—
1395C4⋊C4—1461no—
1396C4⋊C4—1461no—
1397C4⋊C4—1461no—
1398C4⋊C4—1461no—
1399C4⋊C4—1461no—
1400C4⋊C4—1461no—
1401C4⋊C4—1461no—
1402C4⋊C4—1461no—
1403C4⋊C4—1461no—
1404C4⋊C4—1461no—
1405C4⋊C4—1461no—
1406C4⋊C4—1461no—
1407C4⋊C4—1461no—
1408C4⋊C4—1461no—
1409C4⋊C4—1461no—
1410C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1423C4⋊C4D4×D7311yescharacteristic
1424C4⋊C4C23×D7311yescharacteristic
1425C4⋊C4C23×D7311yescharacteristic
1426C4⋊C4C23×D7311yescharacteristic
1427C4⋊C4C23×D7311yescharacteristic
1428C4⋊C4C23×D7311yescharacteristic
1429C4⋊C4C23×D7311yescharacteristic
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—731no—
1437C22⋊C4—731no—
1438C22⋊C4—731no—
1439C22⋊C4—731no—
1440C22⋊C4—1461no—
1441C22⋊C4—1461no—
1442C22⋊C4—1461no—
1443C22⋊C4—1461no—
1444C22⋊C4—1461no—
1445C22⋊C4—1461no—
1446C22⋊C4—1461no—
1447C22⋊C4—1461no—
1448C22⋊C4—1461no—
1449C22⋊C4—1461no—
1450C22⋊C4—1461no—
1451C22⋊C4—1461no—
1452C22⋊C4—1461no—
1453C22⋊C4—1461no—
1454C22⋊C4—1461no—
1455C22⋊C4—1461no—
1456C22⋊C4—1461no—
1457C22⋊C4—1461no—
1458C22⋊C4—1461no—
1459C22⋊C4D4×D7311yescharacteristic
1460C22⋊C4D4×D7311yescharacteristic
1461C42—21no—
1462C42—21no—
1463C42—731no—
1464C42—731no—
1465C42—731no—
1466C42—731no—
1467C42—731no—
1468C42—731no—
1469C42—731no—
1470C42—731no—
1471C42—1461no—
1472C42—1461no—
1473C42—1461no—
1474C42—1461no—
1475C42—1461no—
1476C42—1461no—
1477C42—1461no—
1478C42C23×D7311yescharacteristic
1479C42C23×D7311yescharacteristic
1480C23—21no—
1481C23—2922no—
1482C23—5841no—
1483C23—5841no—
1484C23—731no—
1485C23—731no—
1486C23—1461no—
1487C23—1461no—
1488C23C2×D4×D7311yescharacteristic
1489Q8—21no—
1490Q8—21no—
1491Q8—81no—
1492Q8—81no—
1493Q8—81no—
1494Q8—5841no—
1495Q8—5841no—
1496Q8—5841no—
1497Q8—5841no—
1498Q8—5841no—
1499Q8—1462no—
1500D4—21no—
1501D4—21no—
1502D4—81no—
1503D4—2922no—
1504D4—2922no—
1505D4—5841no—
1506D4—5841no—
1507D4—5841no—
1508D4—5841no—
1509D4—5841no—
1510D4—5841no—
1511D4—5841no—
1512D4—5841no—
1513D4—5841no—
1514D4—1462no—
1515D4—1462no—
1516D4—1462no—
1517D4—1461no—
1518D4—1461no—
1519D4—1461no—
1520D4—1461no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—81no—
1531C2×C4—81no—
1532C2×C4—2921no—
1533C2×C4—2921no—
1534C2×C4—2921no—
1535C2×C4—2921no—
1536C2×C4—2922no—
1537C2×C4—2922no—
1538C2×C4—2922no—
1539C2×C4—2922no—
1540C2×C4—2921no—
1541C2×C4—2921no—
1542C2×C4—5841no—
1543C2×C4—5841no—
1544C2×C4—5841no—
1545C2×C4—5841no—
1546C2×C4—5841no—
1547C2×C4—5841no—
1548C2×C4—5841no—
1549C2×C4—5841no—
1550C2×C4—731no—
1551C2×C4—732no—
1552C2×C4—732no—
1553C2×C4—731no—
1554C2×C4—731no—
1555C2×C4—731no—
1556C2×C4—731no—
1557C2×C4—731no—
1558C2×C4—1461no—
1559C2×C4—1461no—
1560C2×C4—1461no—
1561C2×C4—1461no—
1562C2×C4—1461no—
1563C2×C4—1461no—
1564C2×C4—1461no—
1565C2×C4—1461no—
1566C2×C4C2×D4×D7311yescharacteristic
1567C2×C4C2×D4×D7311yescharacteristic
1568C2×C4C2×D4×D7311yescharacteristic
1569C2×C4C2×D4×D7311yescharacteristic
1570C2×C4C2×D4×D7311yescharacteristic
1571C2×C4C24×D7311yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—1461no—
1577C8—1461no—
1578C8—1461no—
1579C8—1461no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—2921no—
1587C22—2921no—
1588C22—2921no—
1589C22—2921no—
1590C22—2921no—
1591C22—2921no—
1592C22—5844no—
1593C22—732no—
1594C22—1461no—
1595C22—1461no—
1596C22—1461no—
1597C22—1461no—
1598C22—1461no—
1599C22C22×D4×D7311yescharacteristic
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—2921no—
1613C4—2921no—
1614C4—2921no—
1615C4—2921no—
1616C4—2921no—
1617C4—2921no—
1618C4—732no—
1619C4—1461no—
1620C4—1461no—
1621C4—1461no—
1622C4—1461no—
1623C4—1461no—
1624C42−1+4×D7311yescharacteristic
1625C42−1+4×D7311yescharacteristic
1626C2—41no—
1627C2—81no—
1628C2—2921no—
1629C2—5841no—
1630C2—5841no—
1631C2—1462no—
1632C2#536×D7311yescharacteristic
1633C2#2262470311yescharacteristic
1634C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3244C2
socleC22×C73C23×D4
prime radical#22623351C2
hypercenter#3244D73
hypocenterC73#60890
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3244

Complements

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

NH ≅ G/Ntype
1. #22623754C2semidirect
3. #22621234C2semidirect
4. #22621221C2semidirect
5. #22621208C2semidirect
6. #22621189C2semidirect
7. #22621186C2semidirect
8. #22621184C2semidirect
9. #22621183C2semidirect
10. #22621175C2semidirect
11. #22621168C2semidirect
12. #22621122C2semidirect
13. #22621120C2semidirect
14. #22621102C2semidirect
15. #22621094C2semidirect
16. #22621068C2semidirect
17. #22621065C2semidirect
18. #22620466C2semidirect
19. #22620456C2semidirect
20. #22620284C2semidirect
21. #22620282C2semidirect
22. #22619915C2semidirect
23. #22619912C2semidirect
24. #22619888C2semidirect
25. #22619884C2semidirect
26. #22619750C2semidirect
27. #22619729C2semidirect
28. #22619714C2semidirect
29. #478×D73C2semidirect
30. #22618594C2semidirect
31. C73×#3244C2semidirect
41. #17989217C22semidirect
42. #17989215C22semidirect
45. #17989214C22semidirect
57. #17989142C22semidirect
58. #17989140C22semidirect
65. C2×#14556582C22semidirect
67. #125×D73C22semidirect
75. #17988996C22semidirect
76. #17988995C22semidirect
77. #17988994C22semidirect
78. #17988994C22semidirect
79. #17988994C22semidirect
80. #17988993C22semidirect
81. #17988993C22semidirect
82. #17988991C22semidirect
83. #17988990C22semidirect
84. #17988989C22semidirect
85. #17988987C22semidirect
86. #17988987C22semidirect
87. #17988986C22semidirect
88. #17988984C22semidirect
103. #17988927C22semidirect
104. #17988927C22semidirect
105. #17988925C22semidirect
106. #17988921C22semidirect
107. #17988920C22semidirect
108. #17988916C22semidirect
111. #17988913C22semidirect
112. #17988913C22semidirect
114. #17988912C22semidirect
116. #17988911C22semidirect
121. #17988907C22semidirect
123. #17988905C22semidirect
126. #17988902C22semidirect
127. #17988901C22semidirect
131. #17988896C22semidirect
132. #17988894C22semidirect
133. #17988892C22semidirect
134. #17988892C22semidirect
135. #17988892C22semidirect
137. #17988890C22semidirect
140. #17988888C22semidirect
145. #17988886C22semidirect
146. #17988886C22semidirect
147. #17988886C22semidirect
152. #17988884C22semidirect
153. #17988882C22semidirect
154. #17988878C22semidirect
158. #17988864C22semidirect
159. #17988648C22semidirect
160. #17988647C22semidirect
161. #17988647C22semidirect
162. #17988642C22semidirect
163. #17988641C22semidirect
164. #17988638C22semidirect
165. #17988637C22semidirect
188. #544×C73C22semidirect
190. #501×C73C22semidirect
191. #498×C73C22semidirect
194. #485×C73C22semidirect
195. #483×C73C22semidirect
198. #479×C73C22semidirect
201. #475×C73C22semidirect
202. #433×C73C22semidirect
821. #3244D73semidirect
849. C73#60890semidirect
864. #544C2×D73semidirect
902. #501C2×D73semidirect
910. #498C2×D73semidirect
930. #485C2×D73semidirect
934. #483C2×D73semidirect
964. #479C2×D73semidirect
987. #475C2×D73semidirect
994. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237542
#226233512
#226212342
#226212212
#226212082
#226211892
#226211862
#226211842
#226211832
#226211752
#226211682
#226211222
#226211202
#226211022
#226210942
#226210682
#226210652
#226204662
#226204562
#226202842
#226202822
#226199152
#226199122
#226198882
#226198842
#226197502
#226197292
#226197142
#478×D732
#226185942
C73×#32442
#6089073