Finite Group Databasebeta

← #33954628

Subgroups — #33954628

Order 18688.

2144 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623351C211yesmaximal, characteristic, complemented
2#22623137C211yesmaximal, characteristic, complemented
3#22620206C211yesmaximal, characteristic, complemented
4#22620175C211yesmaximal, characteristic, complemented
5#22620173C211yesmaximal, characteristic, complemented
6#22620136C211yesmaximal, characteristic, complemented
7#22620130C211yesmaximal, characteristic, complemented
8#22620121C211yesmaximal, characteristic, complemented
9#22620109C211yesmaximal, characteristic, complemented
10#22620085C211yesmaximal, characteristic, complemented
11#22620075C211yesmaximal, characteristic, complemented
12#22620072C211yesmaximal, characteristic, complemented
13#22620068C211yesmaximal, characteristic, complemented
14#22620041C211yesmaximal, characteristic, complemented
15#22620039C211yesmaximal, characteristic, complemented
16#22620024C211yesmaximal, characteristic, complemented
17#22620019C211yesmaximal, characteristic, complemented
18#22619915C211yesmaximal, characteristic, complemented
19#22619888C211yesmaximal, characteristic, complemented
20#22619790C211yesmaximal, characteristic, complemented
21#22619757C211yesmaximal, characteristic, complemented
22#22619473C211yesmaximal, characteristic, complemented
23#22619432C211yesmaximal, characteristic, complemented
24#22619239C211yesmaximal, characteristic, complemented
25#22619196C211yesmaximal, characteristic, complemented
26C4×#14556618C211yesmaximal, characteristic, complemented
27C4×#14556618C211yesmaximal, characteristic, complemented
28#22618730C211yesmaximal, characteristic, complemented
29#442×D73C211yesmaximal, characteristic, complemented
30#22618579C211yesmaximal, characteristic, complemented
31C73×#3125C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×#14556618C2211yescharacteristic
35C2×#14556614C2211yescharacteristic
36C2×D8×D73C2211yescharacteristic
37#17989214C2211yescharacteristic, complemented
38#17989209C2211yescharacteristic, complemented
39#17989207—21no—
40#17989192C2211yescharacteristic, complemented
41#17989189—21no—
42#17989188C2211yescharacteristic, complemented
43#17989176—21no—
44#17989171—21no—
45#17989167C2211yescharacteristic
46#17989155C2211yescharacteristic, complemented
47#17989153C2211yescharacteristic
48#17989138C2211yescharacteristic, complemented
49#17989136—21no—
50#17989132C2211yescharacteristic, complemented
51#17989123C2211yescharacteristic, complemented
52#17989120—21no—
53#17989116C2211yescharacteristic, complemented
54#17989100—21no—
55#17989095—21no—
56#17989069C2211yescharacteristic
57#17989069C2211yescharacteristic, complemented
58#17989068—21no—
59#17989068C2211yescharacteristic
60#17989061—21no—
61#17989061C2211yescharacteristic, complemented
62#17989059—21no—
63#17989059—21no—
64#17989059C2211yescharacteristic
65#17989059C2211yescharacteristic, complemented
66#41×Dic73C2211yescharacteristic, complemented
67C4×#11924029C2211yescharacteristic
68C4×#11924029C2211yescharacteristic, complemented
69C4×#11924029C2211yescharacteristic, complemented
70#17989055—21no—
71#17989055C2211yescharacteristic
72C2×#14556553—21no—
73C2×#14556553C2211yescharacteristic, complemented
74C4×D4×D73—21no—
75C4×D4×D73—21no—
76C4×D4×D73C2211yescharacteristic
77C4×D4×D73C2211yescharacteristic, complemented
78C4×D4×D73C2211yescharacteristic, complemented
79#17988927C2211yescharacteristic, complemented
80#17988925C2211yescharacteristic, complemented
81#17988916C2211yescharacteristic, complemented
82#17988913C2211yescharacteristic, complemented
83#17988913C2211yescharacteristic, complemented
84#17988912C2211yescharacteristic, complemented
85#17988912C2211yescharacteristic, complemented
86#17988910C2211yescharacteristic, complemented
87#17988908C2211yescharacteristic, complemented
88#17988907C2211yescharacteristic, complemented
89#17988907C2211yescharacteristic, complemented
90#17988905C2211yescharacteristic, complemented
91#17988900C2211yescharacteristic, complemented
92#17988899C2211yescharacteristic, complemented
93#17988896C2211yescharacteristic, complemented
94#17988894C2211yescharacteristic, complemented
95#17988889C2211yescharacteristic, complemented
96#17988888C2211yescharacteristic, complemented
97#17988888C2211yescharacteristic, complemented
98#17988887C2211yescharacteristic, complemented
99#17988886C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988874C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988864C2211yescharacteristic, complemented
107#17988811C2211yescharacteristic, complemented
108#17988805C2211yescharacteristic, complemented
109#17988805C2211yescharacteristic, complemented
110#17988804C2211yescharacteristic, complemented
111#17988799C2211yescharacteristic, complemented
112#17988799C2211yescharacteristic, complemented
113#17988787C2211yescharacteristic, complemented
114#17988785C2211yescharacteristic, complemented
115#17988783C2211yescharacteristic, complemented
116#17988783C2211yescharacteristic, complemented
117#17988782C2211yescharacteristic, complemented
118#17988781C2211yescharacteristic, complemented
119#17988781C2211yescharacteristic, complemented
120#17988780C2211yescharacteristic, complemented
121#17988748C2211yescharacteristic, complemented
122#17988737C2211yescharacteristic, complemented
123#17988736C2211yescharacteristic, complemented
124#17988735C2211yescharacteristic
125#17988735C2211yescharacteristic, complemented
126#17988732C2211yescharacteristic
127#17988732C2211yescharacteristic, complemented
128#17988731C2211yescharacteristic
129#17988723C2211yescharacteristic
130#17988723C2211yescharacteristic, complemented
131#17988722C2211yescharacteristic
132#17988722C2211yescharacteristic, complemented
133#17988720C2211yescharacteristic
134#17988719C2211yescharacteristic
135#17988700C2211yescharacteristic, complemented
136#17988700C2211yescharacteristic, complemented
137#17988699C2211yescharacteristic, complemented
138#17988698C2211yescharacteristic, complemented
139#17988698C2211yescharacteristic, complemented
140#17988698C2211yescharacteristic, complemented
141#17988698C2211yescharacteristic, complemented
142#17988697C2211yescharacteristic, complemented
143#17988697C2211yescharacteristic, complemented
144#17988696C2211yescharacteristic, complemented
145#17988696C2211yescharacteristic, complemented
146#17988696C2211yescharacteristic, complemented
147#17988696C2211yescharacteristic, complemented
148#17988694C2211yescharacteristic, complemented
149#17988690C2211yescharacteristic, complemented
150#17988690C2211yescharacteristic, complemented
151#17988690C2211yescharacteristic, complemented
152#17988690C2211yescharacteristic, complemented
153#17988688C2211yescharacteristic, complemented
154#17988688C2211yescharacteristic, complemented
155#17988685C2211yescharacteristic, complemented
156#17988685C2211yescharacteristic, complemented
157C4×#11924015C2211yescharacteristic, complemented
158C4×#11924015C2211yescharacteristic, complemented
159C4×D584C2211yescharacteristic, complemented
160C4×D584C2211yescharacteristic, complemented
161C4×#11924013C2211yescharacteristic, complemented
162C4×#11924013C2211yescharacteristic, complemented
163#17988649C2211yescharacteristic, complemented
164#17988648C2211yescharacteristic, complemented
165#17988646C2211yescharacteristic, complemented
166#17988643C2211yescharacteristic, complemented
167#17988643C2211yescharacteristic, complemented
168#17988641C2211yescharacteristic, complemented
169#17988641C2211yescharacteristic, complemented
170#17988626C2211yescharacteristic, complemented
171#17988626C2211yescharacteristic, complemented
172#17988622C2211yescharacteristic, complemented
173#106×D73C2211yescharacteristic, complemented
174#17988612C2211yescharacteristic, complemented
175#17988612C2211yescharacteristic, complemented
176#17988590C2211yescharacteristic
177#17988590C2211yescharacteristic, complemented
178#17988587C2211yescharacteristic
179#17988587C2211yescharacteristic, complemented
180#17988582C2211yescharacteristic
181#17988582C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186C4×#11924011C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic, complemented
189#520×C73C2211yescharacteristic, complemented
190#483×C73C2211yescharacteristic, complemented
191#481×C73C2211yescharacteristic, complemented
192#476×C73C2211yescharacteristic, complemented
193#475×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#452×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203#14556637—24no—
204#14556637—24no—
205C2×#11924029—21no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924028—21no—
210C2×#11924028C2311yescharacteristic
211C2×#11924027—21no—
212C22×D292—21no—
213C22×D292C2311yescharacteristic
214C2×D4×D73—21no—
215C2×D4×D73—21no—
216C2×D4×D73C2311yescharacteristic
217C2×D4×D73C2311yescharacteristic
218C2×D4×D73C2311yescharacteristic
219C22×C4×D73—21no—
220C22×C4×D73—21no—
221C22×C4×D73—21no—
222C22×C4×D73—21no—
223#14556618—24no—
224#14556618—24no—
225#14556614—24no—
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238D8×D73—24no—
239C2×#11924011C2311yescharacteristic
240C2×#11924011C2311yescharacteristic
241C2×C8×D73C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243#14556590C2311yescharacteristic
244#14556589—21no—
245#14556588C2311yescharacteristic
246#14556587—21no—
247#14556587C2311yescharacteristic
248#14556586—21no—
249#14556585—21no—
250#14556584—21no—
251#14556583C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556580—21no—
255#14556580C2311yescharacteristic
256#14556579—21no—
257#14556577—21no—
258#14556577—21no—
259#14556576—21no—
260#14556576—21no—
261#14556576—21no—
262#14556575—21no—
263#14556574—21no—
264#14556573—21no—
265#14556573—21no—
266#14556569—21no—
267#14556569—21no—
268#14556569—21no—
269#14556567—21no—
270#14556567C2311yescharacteristic
271#14556566—21no—
272#14556566—21no—
273#14556566C2311yescharacteristic
274#14556566C2311yescharacteristic
275#14556565—21no—
276#14556565C2311yescharacteristic
277#14556565C2311yescharacteristic
278#14556564—21no—
279#14556564—21no—
280#14556564—21no—
281#14556564—21no—
282#14556564—21no—
283#14556564—21no—
284#14556564—21no—
285#14556563—21no—
286#14556562C2311yescharacteristic
287#14556561—21no—
288#14556561—21no—
289#14556561—21no—
290#14556559—21no—
291Q8×Dic73C2311yescharacteristic
292Q8×Dic73C2311yescharacteristic
293Q8×Dic73C2311yescharacteristic
294#14556556—21no—
295#14556556D411yescharacteristic
296#14556556D411yescharacteristic
297C4×D292—21no—
298C4×D292—21no—
299C4×D292—21no—
300C4×D292—21no—
301C4×D292—21no—
302C4×D292C2311yescharacteristic
303C4×D292C2311yescharacteristic
304C4×D292C2311yescharacteristic
305C4×D292C2311yescharacteristic
306C4×D292C2311yescharacteristic
307C4×D292C2311yescharacteristic
308D4×Dic73—21no—
309D4×Dic73—21no—
310D4×Dic73C2311yescharacteristic
311D4×Dic73C2311yescharacteristic
312D4×Dic73C2311yescharacteristic
313#14556553—21no—
314#14556553—21no—
315#14556553—21no—
316#14556553—21no—
317#14556553—21no—
318#14556553—21no—
319#14556553—21no—
320#14556553—21no—
321#14556553—21no—
322#14556553—21no—
323#14556553—21no—
324#14556553D411yescharacteristic
325#14556553D411yescharacteristic
326#14556553C2311yescharacteristic
327#14556553C2311yescharacteristic
328#14556553C2311yescharacteristic
329#14556553C2311yescharacteristic
330#14556553C2311yescharacteristic
331#14556553C2311yescharacteristic
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339#14556551—21no—
340#14556551—21no—
341#14556551—21no—
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551D411yescharacteristic
348#14556551D411yescharacteristic
349#14556551D411yescharacteristic
350#14556551D411yescharacteristic
351#14556550—21no—
352#14556550C2311yescharacteristic
353#14556549—21no—
354#14556549—21no—
355#14556549—21no—
356#14556549—21no—
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556549C2311yescharacteristic
360#14556548—21no—
361#14556548—21no—
362#14556548C2311yescharacteristic
363#14556548C2311yescharacteristic
364#14556547—21no—
365C4⋊C4×D73—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C2×#11924005—21no—
371C2×#11924005—21no—
372C2×#11924005—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73C2311yescharacteristic
382C42×D73—21no—
383C42×D73—21no—
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C4×#10596831C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C2×Q16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C4⋊Q8×C73C2311yescharacteristic
447#126×C73—21no—
448#124×C73—21no—
449#124×C73C2311yescharacteristic
450#123×C73—21no—
451C22⋊Q8×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×Q8×C73C2311yescharacteristic
457C4×D4×C73—21no—
458C4×D4×C73—21no—
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73—21no—
463#117×C73C2311yescharacteristic
464C2×C4⋊C4×C73—21no—
465C2×C4⋊C4×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488#11924029—22no—
489#11924029—22no—
490#11924029—22no—
491#11924029—22no—
492#11924029—22no—
493#11924029—82no—
494#11924029#4114yescomplemented
495#11924028—28no—
496#11924028—22no—
497#11924028—22no—
498#11924027—82no—
499C2×Dic146—21no—
500C2×Dic146C2×D411yescharacteristic
501C2×D292—28no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—22no—
506C2×D292—22no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292C2×D411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73C2×D411yescharacteristic
526C2×C22⋊D73C2×D411yescharacteristic
527D4×D73—28no—
528D4×D73—28no—
529D4×D73—22no—
530D4×D73—22no—
531D4×D73—22no—
532D4×D73—22no—
533D4×D73—22no—
534D4×D73#4114yescomplemented
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73C2×D411yescharacteristic
539C22×Dic73C2×D411yescharacteristic
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—82no—
559C2×C4×D73—82no—
560C2×C4×D73—82no—
561C2×C4×D73—82no—
562C2×C4×D73C2×D411yescharacteristic
563C2×C4×D73C2×D411yescharacteristic
564C2×C4×D73C2×D411yescharacteristic
565C2×C4×D73C2×D411yescharacteristic
566C2×C4×D73C2411yescharacteristic
567C2×C4×D73C2411yescharacteristic
568#11924015—22no—
569#11924015—22no—
570#11924015—22no—
571#11924015—22no—
572D584—22no—
573D584—22no—
574D584—22no—
575D584—22no—
576#11924013—22no—
577#11924013—22no—
578#11924013—22no—
579#11924013—22no—
580#11924011—22no—
581#11924011—22no—
582C2×#10596831C2411yescharacteristic
583C2×#10596831C2411yescharacteristic
584C2×#10596831C2411yescharacteristic
585C2×#10596831C2411yescharacteristic
586C8×D73—22no—
587C8×D73—22no—
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73—21no—
591C4⋊Dic73—21no—
592C4⋊Dic73C2411yescharacteristic
593C4⋊Dic73C2411yescharacteristic
594C4⋊Dic73C2411yescharacteristic
595C4⋊Dic73C2411yescharacteristic
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005C2×D411yescharacteristic
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C4×Dic73C2411yescharacteristic
654#41×C73—22no—
655#41×C73—22no—
656C2×Q8×C73—21no—
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73C2411yescharacteristic
662C2×D4×C73C2411yescharacteristic
663C22×C4×C73—21no—
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73C2411yescharacteristic
669Q16×C73—22no—
670SD16×C73—22no—
671SD16×C73—22no—
672D8×C73—22no—
673C2×C8×C73C2411yescharacteristic
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C2×C8×C73C2411yescharacteristic
677C4⋊C4×C73—21no—
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73C2×D411yescharacteristic
684C4⋊C4×C73C2×D411yescharacteristic
685C4⋊C4×C73C2411yescharacteristic
686C4⋊C4×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73C2×D411yescharacteristic
697C22⋊C4×C73C2×D411yescharacteristic
698C42×C73—21no—
699C42×C73—21no—
700C42×C73—21no—
701C42×C73C2411yescharacteristic
702C42×C73C2411yescharacteristic
703C23×C73—21no—
704C23×C73—21no—
705C23×C73C22×D411yescharacteristic
706C22×D73—21no—
707C22×D73—21no—
708C22×D73—24no—
709C22×D73—24no—
710C22×D73—24no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—42no—
714C22×D73—81no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—81no—
728Q8×C73C2×#4112yes—
729D4×C73—24no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—81no—
734D4×C73C2×#4112yes—
735C2×C4×C73—24no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—81no—
745C2×C4×C73—81no—
746C2×C4×C73—81no—
747C2×C4×C73—81no—
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C2511yescharacteristic
754C22⋊D73—24no—
755C22⋊D73—22no—
756C22⋊D73—22no—
757C22⋊D73—24no—
758C22⋊D73—42no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—41no—
769C2×Dic73—41no—
770C2×Dic73—42no—
771C2×Dic73—42no—
772C2×Dic73—81no—
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779D292—24no—
780D292—24no—
781D292—24no—
782D292—22no—
783D292—21no—
784D292—21no—
785D292—21no—
786D292—21no—
787D292—21no—
788D292—21no—
789D292—42no—
790D292—81no—
791D292—81no—
792D292—81no—
793D292—81no—
794D292C2×#4112yes—
795D292C2×#4112yes—
796C4×D73—24no—
797C4×D73—21no—
798C4×D73—21no—
799C4×D73—24no—
800C4×D73—41no—
801C4×D73—41no—
802C4×D73—41no—
803C4×D73—41no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73—42no—
807C4×D73—42no—
808C4×D73—42no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814C4×D73—81no—
815C4×D73—81no—
816C4×D73—81no—
817C4×D73—81no—
818C4×D73—81no—
819C4×D73—81no—
820C4×D73C2×#4112yes—
821C4×D73C2×#4112yes—
822Dic146—22no—
823Dic146—81no—
824C8×C73—21no—
825C8×C73—21no—
826C8×C73—21no—
827C8×C73—21no—
828#10596831—21no—
829#10596831—21no—
830#10596831—21no—
831#10596831—21no—
832C22×C73—21no—
833C22×C73—21no—
834C22×C73—21no—
835C22×C73—22no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73C23×D411yescharacteristic
842C2×D73—21no—
843C2×D73—21no—
844C2×D73—21no—
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—22no—
848C2×D73—22no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—41no—
858C2×D73—41no—
859C2×D73—84no—
860C2×D73—84no—
861C2×D73—84no—
862C2×D73—84no—
863C2×D73#52512yes—
864C4×C73—21no—
865C4×C73—21no—
866C4×C73—21no—
867C4×C73—21no—
868C4×C73—21no—
869C4×C73—22no—
870C4×C73—41no—
871C4×C73—41no—
872C4×C73—41no—
873C4×C73—41no—
874C4×C73—41no—
875C4×C73C22×#4111yescharacteristic
876C4×C73C22×#4111yescharacteristic
877Dic73—21no—
878Dic73—21no—
879Dic73—21no—
880Dic73—21no—
881Dic73—21no—
882Dic73—41no—
883Dic73—41no—
884Dic73—41no—
885Dic73—41no—
886Dic73#52512yes—
887#60574—731nomaximal, Sylow
888C2×C73—41no—
889C2×C73—42no—
890C2×C73—81no—
891C2×C73C2×#52511yescharacteristic
892C2×C73#358511yescharacteristic
893C2×C73#358511yescharacteristic
894D73—22no—
895D73—41no—
896D73—42no—
897D73—42no—
898D73—81no—
899D73—81no—
900#3460—731no—
901C4×H(5,𝔽2)—731no—
902#3125—731no—
903#3125D7311yescharacteristic, complemented
904#3122—731no—
905#3122—731no—
906#3119—731no—
907#3119—731no—
908#3118—731no—
909#3118—731no—
910#3115—731no—
911#3115—731no—
912#3114—731no—
913#3114—731no—
914#3111—731no—
915#3111—731no—
916#3109—731no—
917#3109—731no—
918#3099—731no—
919#3096—731no—
920#3084—731no—
921#3081—731no—
922#3045—731no—
923#3041—731no—
924#3012—731no—
925#3008—731no—
926C4×AGL(1,ℤ/8)—731no—
927C4×AGL(1,ℤ/8)—731no—
928#2943—731no—
929C2×#442—731no—
930#2923—731no—
931C73#6057411yescharacteristic, complemented, Sylow
932C2×H(5,𝔽2)—731no—
933C2×AGL(1,ℤ/8)—731no—
934C2×AGL(1,ℤ/8)—731no—
935C2×#135—731no—
936C22×D8—731no—
937#544—731no—
938#542—731no—
939#542—1461no—
940#542C2×D7311yescharacteristic, complemented
941#540—731no—
942#540—731no—
943#540—1461no—
944#538—1461no—
945#538—1461no—
946#537—731no—
947#535—731no—
948#535—731no—
949#532—731no—
950#532—731no—
951#532—1461no—
952#529—731no—
953#529—731no—
954#529—1461no—
955#525—1461no—
956#525—1461no—
957#520—731no—
958#520—731no—
959#520—731no—
960#520—1461no—
961#520C2×D7311yescharacteristic, complemented
962#518—731no—
963#518—731no—
964#518—731no—
965#518—1461no—
966#518—1461no—
967#518—1461no—
968C4×#41—731no—
969C4×#41—731no—
970C4×#41—731no—
971C4×#41—731no—
972C4×#41—731no—
973C4×#41—1461no—
974C2×C4×D4—731no—
975C2×C4×D4—731no—
976C2×C4×D4—731no—
977C2×C4×D4—731no—
978C2×C4×D4—1461no—
979C2×C4×D4—1461no—
980C2×C4×D4—1461no—
981#485—731no—
982#485—731no—
983#483—731no—
984#483C2×D7311yescharacteristic, complemented
985#482—731no—
986#482—731no—
987#482—731no—
988#482—731no—
989#482—731no—
990#482—731no—
991#481—731no—
992#481—731no—
993#481—731no—
994#481C2×D7311yescharacteristic, complemented
995#480—731no—
996#480—731no—
997#479—731no—
998#479—731no—
999#478—731no—
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#478—731no—
1005#476—731no—
1006#476—731no—
1007#476—731no—
1008#476C2×D7311yescharacteristic, complemented
1009#475—731no—
1010#475C2×D7311yescharacteristic, complemented
1011#474—731no—
1012#474—731no—
1013#464—731no—
1014#464C2×D7311yescharacteristic, complemented
1015#463—731no—
1016#463—731no—
1017#463—731no—
1018#463—731no—
1019#463—731no—
1020#463C2×D7311yescharacteristic, complemented
1021#460—731no—
1022#460—731no—
1023#459—731no—
1024#459—731no—
1025#459—731no—
1026#459—731no—
1027#459—731no—
1028#459—731no—
1029#452—731no—
1030#452C2×D7311yescharacteristic, complemented
1031#450—731no—
1032#450—731no—
1033#449—731no—
1034#449—731no—
1035#449—731no—
1036#449—731no—
1037#449—731no—
1038#449C2×D7311yescharacteristic
1039#447—731no—
1040#447—731no—
1041#447—731no—
1042#447—731no—
1043#447—731no—
1044#447—731no—
1045#442—731no—
1046#442—731no—
1047#442—731no—
1048#442—731no—
1049#442—731no—
1050#442—731no—
1051#442—731no—
1052#442—731no—
1053#442—731no—
1054#442—731no—
1055#442—731no—
1056#442—731no—
1057#442—731no—
1058#442C2×D7311yescharacteristic, complemented
1059#441—731no—
1060#441C2×D7311yescharacteristic, complemented
1061#440—731no—
1062#440—731no—
1063#440—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067#440—731no—
1068#440—731no—
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×SD16C2×D7311yescharacteristic, complemented
1072C4×SD16C2×D7311yescharacteristic, complemented
1073C4×D8—731no—
1074C4×D8—731no—
1075C4×D8—731no—
1076C4×D8—731no—
1077#433—731no—
1078#433—731no—
1079#433—731no—
1080#433C2×D7311yescharacteristic, complemented
1081#432—731no—
1082#432—731no—
1083#432—731no—
1084#432—731no—
1085#428—731no—
1086#428—731no—
1087#427—731no—
1088C2×#106—731no—
1089#424—731no—
1090#424—731no—
1091#418—731no—
1092#418—731no—
1093#417—731no—
1094#417—731no—
1095#416—731no—
1096#416—731no—
1097C2×#102—731no—
1098C2×#102—731no—
1099#408—731no—
1100#408—731no—
1101C4×M16—731no—
1102C2×#97—731no—
1103H(5,𝔽2)—1464no—
1104H(5,𝔽2)—1464no—
1105C2×#41—731no—
1106C2×#41—731no—
1107C2×#41—731no—
1108C2×#41—731no—
1109C2×#41—1461no—
1110C2×#41—1461no—
1111C2×#41—1461no—
1112C2×#41C22×D7311yescharacteristic
1113C22×D4—731no—
1114C22×D4—731no—
1115C22×D4—731no—
1116C22×D4—731no—
1117C22×D4—1461no—
1118C22×D4—1461no—
1119C22×D4—1461no—
1120C23×C4—1461no—
1121C23×C4—1461no—
1122C23×C4—1461no—
1123C23×C4—1461no—
1124AGL(1,ℤ/8)—1464no—
1125AGL(1,ℤ/8)—1464no—
1126#135—1464no—
1127C2×Q16C22×D7311yescharacteristic
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×SD16—731no—
1131C2×SD16—731no—
1132C2×SD16C22×D7311yescharacteristic
1133C2×SD16C22×D7311yescharacteristic
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8—731no—
1140C2×D8—731no—
1141C2×D8—731no—
1142C2×D8—1464no—
1143C2×D8C22×D7311yescharacteristic
1144C2×M16—731no—
1145C2×M16—731no—
1146C22×C8—731no—
1147C22×C8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—1461no—
1150C4⋊Q8C22×D7311yescharacteristic
1151#127—731no—
1152#127—731no—
1153#127—1461no—
1154#126—21no—
1155#126—1461no—
1156#126—1461no—
1157#126—1461no—
1158#125—731no—
1159#125—731no—
1160#125—1461no—
1161#124—21no—
1162#124—731no—
1163#124—1461no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124C22×D7311yescharacteristic
1168#123—21no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176C22⋊Q8—21no—
1177C22⋊Q8—731no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8—1461no—
1182C22⋊Q8C22×D7311yescharacteristic
1183#121—731no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—1461no—
1189#121—1461no—
1190#121—1461no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121C22×D7311yescharacteristic
1200#120—1461no—
1201#120—1461no—
1202#120—1461no—
1203#120—1461no—
1204C4×Q8—731no—
1205C4×Q8—731no—
1206C4×Q8—731no—
1207C4×Q8—731no—
1208C4×Q8—731no—
1209C4×Q8—1461no—
1210C4×Q8C22×D7311yescharacteristic
1211C4×Q8C22×D7311yescharacteristic
1212C4×Q8C22×D7311yescharacteristic
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—731no—
1226C4×D4—731no—
1227C4×D4—731no—
1228C4×D4—731no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4C22×D7311yescharacteristic
1270C4×D4C22×D7311yescharacteristic
1271C4×D4C22×D7311yescharacteristic
1272#117—21no—
1273#117—731no—
1274#117—731no—
1275#117—731no—
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117C22×D7311yescharacteristic
1288C2×C4⋊C4—21no—
1289C2×C4⋊C4—731no—
1290C2×C4⋊C4—731no—
1291C2×C4⋊C4—731no—
1292C2×C4⋊C4—1461no—
1293C2×C4⋊C4—1461no—
1294C2×C4⋊C4C22×D7311yescharacteristic
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C22⋊C4—1461no—
1305C2×C42—731no—
1306C2×C42—731no—
1307C2×C42—731no—
1308C2×C42—1461no—
1309C2×C42—1461no—
1310C2×C42—1461no—
1311C2×C42—1461no—
1312#107—731no—
1313#107—731no—
1314#107—731no—
1315#107—731no—
1316#107—731no—
1317#107—731no—
1318#106—731no—
1319#106—731no—
1320#106—731no—
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324#106C22×D7311yescharacteristic
1325#106C22×D7311yescharacteristic
1326#106C22×D7311yescharacteristic
1327#106C22×D7311yescharacteristic
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8—731no—
1334C4⋊C8C22×D7311yescharacteristic
1335C4⋊C8C22×D7311yescharacteristic
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#103C22×D7311yescharacteristic
1343#103C22×D7311yescharacteristic
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367#102C22×D7311yescharacteristic
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8—731no—
1372C22⋊C8—731no—
1373C22⋊C8—731no—
1374C22⋊C8C22×D7311yescharacteristic
1375C22⋊C8C22×D7311yescharacteristic
1376#97—731no—
1377#97—731no—
1378#97—731no—
1379#97—731no—
1380#97—731no—
1381#97C22×D7311yescharacteristic
1382C4×C8—731no—
1383C4×C8C22×D7311yescharacteristic
1384C24—1461no—
1385C24—1461no—
1386C24—1461no—
1387C24—1461no—
1388#41—22no—
1389#41—22no—
1390#41—5842no—
1391#41—5842no—
1392#41—734no—
1393#41—1462no—
1394#41—1462no—
1395#41—1468no—
1396#41—1462no—
1397#41—1462no—
1398#41—1462no—
1399#41—1462no—
1400#41—1462no—
1401C2×Q8—21no—
1402C2×Q8—731no—
1403C2×Q8—1461no—
1404C2×Q8C23×D7311yescharacteristic
1405C2×Q8C23×D7311yescharacteristic
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—734no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—731no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1462no—
1420C2×D4—1462no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1468no—
1424C2×D4—1462no—
1425C2×D4—1462no—
1426C2×D4—1462no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1462no—
1433C2×D4—1468no—
1434C2×D4—1468no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1462no—
1439C2×D4—1461no—
1440C2×D4—1461no—
1441C2×D4—1461no—
1442C2×D4C23×D7311yescharacteristic
1443C2×D4C23×D7311yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—5842no—
1450C22×C4—5842no—
1451C22×C4—5842no—
1452C22×C4—5842no—
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×C4C23×D7311yescharacteristic
1483Q16—22no—
1484SD16—22no—
1485SD16—22no—
1486SD16—1462no—
1487SD16—1462no—
1488SD16—1462no—
1489SD16—1462no—
1490D8—22no—
1491D8—1462no—
1492D8—1462no—
1493D8—1462no—
1494D8—1462no—
1495D8—1462no—
1496D8—1462no—
1497D8—1462no—
1498D8—1462no—
1499M16—1462no—
1500M16—1462no—
1501C2×C8—731no—
1502C2×C8—731no—
1503C2×C8—731no—
1504C2×C8—731no—
1505C2×C8—1462no—
1506C2×C8—1462no—
1507C2×C8C23×D7311yescharacteristic
1508C2×C8C23×D7311yescharacteristic
1509C2×C8C23×D7311yescharacteristic
1510C2×C8C23×D7311yescharacteristic
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—731no—
1520C4⋊C4—731no—
1521C4⋊C4—731no—
1522C4⋊C4—731no—
1523C4⋊C4—731no—
1524C4⋊C4—731no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4D4×D7311yescharacteristic
1538C4⋊C4D4×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C4⋊C4C23×D7311yescharacteristic
1542C4⋊C4C23×D7311yescharacteristic
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4D4×D7311yescharacteristic
1582C22⋊C4D4×D7311yescharacteristic
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42—731no—
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42—1461no—
1601C42C23×D7311yescharacteristic
1602C42C23×D7311yescharacteristic
1603C23—21no—
1604C23—21no—
1605C23—2922no—
1606C23—5841no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—5841no—
1613C23—5841no—
1614C23—731no—
1615C23—731no—
1616C23—1464no—
1617C23—1464no—
1618C23—1464no—
1619C23—1461no—
1620C23—1461no—
1621C23—1461no—
1622C23—1461no—
1623C23C2×D4×D7311yescharacteristic
1624Q8—21no—
1625Q8—21no—
1626Q8—21no—
1627Q8—81no—
1628Q8—5841no—
1629Q8—1462no—
1630Q8#41×D7312yes—
1631D4—24no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—81no—
1636D4—2922no—
1637D4—2922no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—732no—
1648D4—732no—
1649D4—1462no—
1650D4—1464no—
1651D4—1464no—
1652D4—1464no—
1653D4—1462no—
1654D4—1464no—
1655D4—1462no—
1656D4—1464no—
1657D4—1461no—
1658D4—1461no—
1659D4—1461no—
1660D4—1461no—
1661D4—1461no—
1662D4—1461no—
1663D4#41×D7312yes—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—2921no—
1678C2×C4—2921no—
1679C2×C4—2921no—
1680C2×C4—2921no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2922no—
1685C2×C4—2922no—
1686C2×C4—2922no—
1687C2×C4—2922no—
1688C2×C4—2921no—
1689C2×C4—2921no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—5841no—
1695C2×C4—5841no—
1696C2×C4—5841no—
1697C2×C4—5841no—
1698C2×C4—5841no—
1699C2×C4—5841no—
1700C2×C4—5841no—
1701C2×C4—5841no—
1702C2×C4—731no—
1703C2×C4—732no—
1704C2×C4—732no—
1705C2×C4—731no—
1706C2×C4—731no—
1707C2×C4—731no—
1708C2×C4—731no—
1709C2×C4—731no—
1710C2×C4—1464no—
1711C2×C4—1464no—
1712C2×C4—1461no—
1713C2×C4—1461no—
1714C2×C4—1461no—
1715C2×C4—1461no—
1716C2×C4—1461no—
1717C2×C4—1461no—
1718C2×C4C2×D4×D7311yescharacteristic
1719C2×C4C2×D4×D7311yescharacteristic
1720C2×C4C2×D4×D7311yescharacteristic
1721C2×C4C2×D4×D7311yescharacteristic
1722C2×C4C2×D4×D7311yescharacteristic
1723C2×C4C24×D7311yescharacteristic
1724C8—21no—
1725C8—21no—
1726C8—21no—
1727C8—21no—
1728C8—1461no—
1729C8—1461no—
1730C8—1461no—
1731C8—1461no—
1732C22—21no—
1733C22—22no—
1734C22—21no—
1735C22—21no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—2921no—
1747C22—2921no—
1748C22—2921no—
1749C22—2921no—
1750C22—2921no—
1751C22—5844no—
1752C22—5844no—
1753C22—5844no—
1754C22—5844no—
1755C22—732no—
1756C22—1462no—
1757C22—1462no—
1758C22—1461no—
1759C22—1461no—
1760C22—1461no—
1761C22—1461no—
1762C22—1461no—
1763C22C22×D4×D7311yescharacteristic
1764C4—21no—
1765C4—22no—
1766C4—21no—
1767C4—21no—
1768C4—21no—
1769C4—21no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—2921no—
1776C4—2921no—
1777C4—2921no—
1778C4—2921no—
1779C4—732no—
1780C4—1461no—
1781C4—1461no—
1782C4—1461no—
1783C4—1461no—
1784C4—1461no—
1785C4C2×#41×D7311yescharacteristic
1786C4C2×#41×D7311yescharacteristic
1787C2—41no—
1788C2—42no—
1789C2—81no—
1790C2—2922no—
1791C2—2922no—
1792C2—2921no—
1793C2—5841no—
1794C2—5841no—
1795C2—1462no—
1796C2#525×D7311yescharacteristic
1797C2#2262470911yescharacteristic
1798C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3125C2
socleC22×C73C23×D4
hypercenter#3125D73
hypocenterC73#60574
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3125

Complements

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

NH ≅ G/Ntype
1. #22623351C2semidirect
2. #22623137C2semidirect
3. #22620206C2semidirect
4. #22620175C2semidirect
5. #22620173C2semidirect
6. #22620136C2semidirect
7. #22620130C2semidirect
8. #22620121C2semidirect
9. #22620109C2semidirect
10. #22620085C2semidirect
11. #22620075C2semidirect
12. #22620072C2semidirect
13. #22620068C2semidirect
14. #22620041C2semidirect
15. #22620039C2semidirect
16. #22620024C2semidirect
17. #22620019C2semidirect
18. #22619915C2semidirect
19. #22619888C2semidirect
20. #22619790C2semidirect
21. #22619757C2semidirect
22. #22619473C2semidirect
23. #22619432C2semidirect
24. #22619239C2semidirect
25. #22619196C2semidirect
26. C4×#14556618C2semidirect
27. C4×#14556618C2semidirect
28. #22618730C2semidirect
29. #442×D73C2semidirect
30. #22618579C2semidirect
31. C73×#3125C2semidirect
37. #17989214C22semidirect
38. #17989209C22semidirect
40. #17989192C22semidirect
42. #17989188C22semidirect
46. #17989155C22semidirect
48. #17989138C22semidirect
50. #17989132C22semidirect
51. #17989123C22semidirect
53. #17989116C22semidirect
57. #17989069C22semidirect
61. #17989061C22semidirect
65. #17989059C22semidirect
66. #41×Dic73C22semidirect
68. C4×#11924029C22semidirect
69. C4×#11924029C22semidirect
73. C2×#14556553C22semidirect
77. C4×D4×D73C22semidirect
78. C4×D4×D73C22semidirect
79. #17988927C22semidirect
80. #17988925C22semidirect
81. #17988916C22semidirect
82. #17988913C22semidirect
83. #17988913C22semidirect
84. #17988912C22semidirect
85. #17988912C22semidirect
86. #17988910C22semidirect
87. #17988908C22semidirect
88. #17988907C22semidirect
89. #17988907C22semidirect
90. #17988905C22semidirect
91. #17988900C22semidirect
92. #17988899C22semidirect
93. #17988896C22semidirect
94. #17988894C22semidirect
95. #17988889C22semidirect
96. #17988888C22semidirect
97. #17988888C22semidirect
98. #17988887C22semidirect
99. #17988886C22semidirect
100. #17988886C22semidirect
101. #17988876C22semidirect
102. #17988876C22semidirect
103. #17988874C22semidirect
104. #17988870C22semidirect
105. #17988865C22semidirect
106. #17988864C22semidirect
107. #17988811C22semidirect
108. #17988805C22semidirect
109. #17988805C22semidirect
110. #17988804C22semidirect
111. #17988799C22semidirect
112. #17988799C22semidirect
113. #17988787C22semidirect
114. #17988785C22semidirect
115. #17988783C22semidirect
116. #17988783C22semidirect
117. #17988782C22semidirect
118. #17988781C22semidirect
119. #17988781C22semidirect
120. #17988780C22semidirect
121. #17988748C22semidirect
122. #17988737C22semidirect
123. #17988736C22semidirect
125. #17988735C22semidirect
127. #17988732C22semidirect
130. #17988723C22semidirect
132. #17988722C22semidirect
135. #17988700C22semidirect
136. #17988700C22semidirect
137. #17988699C22semidirect
138. #17988698C22semidirect
139. #17988698C22semidirect
140. #17988698C22semidirect
141. #17988698C22semidirect
142. #17988697C22semidirect
143. #17988697C22semidirect
144. #17988696C22semidirect
145. #17988696C22semidirect
146. #17988696C22semidirect
147. #17988696C22semidirect
148. #17988694C22semidirect
149. #17988690C22semidirect
150. #17988690C22semidirect
151. #17988690C22semidirect
152. #17988690C22semidirect
153. #17988688C22semidirect
154. #17988688C22semidirect
155. #17988685C22semidirect
156. #17988685C22semidirect
157. C4×#11924015C22semidirect
158. C4×#11924015C22semidirect
159. C4×D584C22semidirect
160. C4×D584C22semidirect
161. C4×#11924013C22semidirect
162. C4×#11924013C22semidirect
163. #17988649C22semidirect
164. #17988648C22semidirect
165. #17988646C22semidirect
166. #17988643C22semidirect
167. #17988643C22semidirect
168. #17988641C22semidirect
169. #17988641C22semidirect
170. #17988626C22semidirect
171. #17988626C22semidirect
172. #17988622C22semidirect
173. #106×D73C22semidirect
174. #17988612C22semidirect
175. #17988612C22semidirect
177. #17988590C22semidirect
179. #17988587C22semidirect
181. #17988582C22semidirect
183. #102×D73C22semidirect
186. C4×#11924011C22semidirect
187. #97×D73C22semidirect
188. #542×C73C22semidirect
189. #520×C73C22semidirect
190. #483×C73C22semidirect
191. #481×C73C22semidirect
192. #476×C73C22semidirect
193. #475×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #452×C73C22semidirect
198. #442×C73C22semidirect
199. #441×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. #433×C73C22semidirect
494. #11924029#41semidirect
534. D4×D73#41semidirect
903. #3125D73semidirect
931. C73#60574semidirect
940. #542C2×D73semidirect
961. #520C2×D73semidirect
984. #483C2×D73semidirect
994. #481C2×D73semidirect
1008. #476C2×D73semidirect
1010. #475C2×D73semidirect
1014. #464C2×D73semidirect
1020. #463C2×D73semidirect
1030. #452C2×D73semidirect
1058. #442C2×D73semidirect
1060. #441C2×D73semidirect
1071. C4×SD16C2×D73semidirect
1072. C4×SD16C2×D73semidirect
1080. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226233512
#226231372
#226202062
#226201752
#226201732
#226201362
#226201302
#226201212
#226201092
#226200852
#226200752
#226200722
#226200682
#226200412
#226200392
#226200242
#226200192
#226199152
#226198882
#226197902
#226197572
#226194732
#226194322
#226192392
#226191962
C4×#145566182
#226187302
#442×D732
#226185792
C73×#31252
#6057473