Finite Group Databasebeta

← #33964294

Subgroups — #33964294

Order 18688.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623790C211yesmaximal, characteristic, complemented
2#22623689C211yesmaximal, characteristic
3#22622034C211yesmaximal, characteristic, complemented
4#22622027C211yesmaximal, characteristic, complemented
5#22622026C211yesmaximal, characteristic, complemented
6#22622018C211yesmaximal, characteristic, complemented
7#22622013C211yesmaximal, characteristic, complemented
8#22622010C211yesmaximal, characteristic, complemented
9#22622005C211yesmaximal, characteristic, complemented
10#22621971C211yesmaximal, characteristic, complemented
11#22621970C211yesmaximal, characteristic, complemented
12#22621963C211yesmaximal, characteristic, complemented
13#22621962C211yesmaximal, characteristic, complemented
14#22621957C211yesmaximal, characteristic, complemented
15#22621954C211yesmaximal, characteristic, complemented
16#22621949C211yesmaximal, characteristic, complemented
17#22621946C211yesmaximal, characteristic, complemented
18#22620278C211yesmaximal, characteristic, complemented
19#22619912C211yesmaximal, characteristic, complemented
20#22619910C211yesmaximal, characteristic, complemented
21#22619726C211yesmaximal, characteristic, complemented
22#22619621C211yesmaximal, characteristic, complemented
23#22619619C211yesmaximal, characteristic, complemented
24#22619404C211yesmaximal, characteristic, complemented
25#22619205C211yesmaximal, characteristic, complemented
26#22619205C211yesmaximal, characteristic, complemented
27#440×D73C211yesmaximal, characteristic, complemented
28#22618645C211yesmaximal, characteristic, complemented
29#22618455C211yesmaximal, characteristic, complemented
30#22618453C211yesmaximal, characteristic, complemented
31C73×#3315C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#14556637C2211yescharacteristic
34C2×#14556623C2211yescharacteristic, complemented
35C2×#14556623C2211yescharacteristic, complemented
36C2×SD16×D73C2211yescharacteristic
37C2×#14556599C2211yescharacteristic, complemented
38C2×#14556597C2211yescharacteristic, complemented
39#17989321—21no—
40#17989314—21no—
41#17989308C2211yescharacteristic, complemented
42#17989305—21no—
43#17989305C2211yescharacteristic, complemented
44#17989304—21no—
45#17989295C2211yescharacteristic, complemented
46#17989292C2211yescharacteristic, complemented
47#17989278C2211yescharacteristic, complemented
48#17989277C2211yescharacteristic, complemented
49#17989275C2211yescharacteristic, complemented
50#17989240C2211yescharacteristic
51#17989238—21no—
52#17989229—21no—
53#17989229—21no—
54#17989228C2211yescharacteristic
55#17989228C2211yescharacteristic
56#17989225C2211yescharacteristic
57#17989225C2211yescharacteristic
58D4×D292C2211yescharacteristic
59D4×D292C2211yescharacteristic
60#17989221—21no—
61#17989185—21no—
62#17989180—21no—
63#17989167C2211yescharacteristic
64#17989167C2211yescharacteristic
65#17989160C2211yescharacteristic, complemented
66#17989160C2211yescharacteristic, complemented
67#17989148—21no—
68#17989148—21no—
69#17989143C2211yescharacteristic, complemented
70#17989138C2211yescharacteristic
71#17989134C2211yescharacteristic
72#17989120—21no—
73#17989115—21no—
74C2×#14556566—21no—
75#121×D73—21no—
76#17989068C2211yescharacteristic, complemented
77#17989067C2211yescharacteristic, complemented
78C4×Q8×D73C2211yescharacteristic, complemented
79C4×D4×D73C2211yescharacteristic
80#17988955C2211yescharacteristic, complemented
81#17988953C2211yescharacteristic, complemented
82#17988952C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988920C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988911C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic, complemented
99#17988901C2211yescharacteristic, complemented
100#17988900C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988887C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic, complemented
105#17988875C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic, complemented
107#17988865C2211yescharacteristic, complemented
108#17988844C2211yescharacteristic, complemented
109#17988843C2211yescharacteristic, complemented
110#17988842C2211yescharacteristic, complemented
111#17988836C2211yescharacteristic, complemented
112#17988835C2211yescharacteristic, complemented
113#17988834C2211yescharacteristic, complemented
114#17988833C2211yescharacteristic, complemented
115#17988827C2211yescharacteristic, complemented
116#17988826C2211yescharacteristic, complemented
117#17988825C2211yescharacteristic, complemented
118#17988819C2211yescharacteristic, complemented
119#17988818C2211yescharacteristic, complemented
120#17988817C2211yescharacteristic, complemented
121#17988816C2211yescharacteristic, complemented
122#17988812C2211yescharacteristic, complemented
123#17988812C2211yescharacteristic, complemented
124#17988811C2211yescharacteristic, complemented
125#17988811C2211yescharacteristic, complemented
126#17988794C2211yescharacteristic, complemented
127#17988788C2211yescharacteristic, complemented
128#17988787C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988752C2211yescharacteristic, complemented
131#17988749C2211yescharacteristic, complemented
132#17988749C2211yescharacteristic, complemented
133#17988748C2211yescharacteristic, complemented
134#17988748C2211yescharacteristic, complemented
135#17988740C2211yescharacteristic, complemented
136#17988740C2211yescharacteristic, complemented
137#17988739C2211yescharacteristic, complemented
138#17988739C2211yescharacteristic, complemented
139#17988737C2211yescharacteristic, complemented
140#17988737C2211yescharacteristic, complemented
141#17988736C2211yescharacteristic, complemented
142#17988736C2211yescharacteristic, complemented
143#17988690C2211yescharacteristic, complemented
144#17988689C2211yescharacteristic, complemented
145#17988688C2211yescharacteristic, complemented
146#17988687C2211yescharacteristic, complemented
147#17988686C2211yescharacteristic, complemented
148#17988685C2211yescharacteristic, complemented
149#17988684C2211yescharacteristic, complemented
150#17988661C2211yescharacteristic, complemented
151#17988660C2211yescharacteristic, complemented
152#17988659C2211yescharacteristic, complemented
153#17988658C2211yescharacteristic, complemented
154#17988657C2211yescharacteristic, complemented
155#17988656C2211yescharacteristic, complemented
156#17988655C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic, complemented
158#17988626C2211yescharacteristic, complemented
159#107×D73C2211yescharacteristic, complemented
160#17988609C2211yescharacteristic, complemented
161#17988593C2211yescharacteristic, complemented
162#17988591C2211yescharacteristic, complemented
163#17988590C2211yescharacteristic
164#17988590C2211yescharacteristic
165#17988590C2211yescharacteristic, complemented
166#17988590C2211yescharacteristic, complemented
167#17988588C2211yescharacteristic, complemented
168#17988587C2211yescharacteristic, complemented
169#17988587C2211yescharacteristic, complemented
170#17988587C2211yescharacteristic, complemented
171#17988587C2211yescharacteristic, complemented
172#17988583C2211yescharacteristic, complemented
173#17988582C2211yescharacteristic, complemented
174#17988582C2211yescharacteristic, complemented
175#17988582C2211yescharacteristic, complemented
176#17988582C2211yescharacteristic, complemented
177#17988582C2211yescharacteristic, complemented
178#17988582C2211yescharacteristic, complemented
179#103×D73C2211yescharacteristic, complemented
180C2×#14556513C2211yescharacteristic, complemented
181C2×#14556511C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic, complemented
189#547×C73C2211yescharacteristic
190#491×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#467×C73C2211yescharacteristic, complemented
196#462×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203#14556637—24no—
204#14556637—24no—
205#14556637—42no—
206#14556637—42no—
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic
210C2×#11924029C2311yescharacteristic
211C2×#11924028—21no—
212C2×#11924028—21no—
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×Q8×D73C2311yescharacteristic
216C22×D292—21no—
217C22×D292—21no—
218C22×D292—21no—
219C22×D292C2311yescharacteristic
220C22×D292C2311yescharacteristic
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C22×C4×D73—21no—
230#14556623—42no—
231#14556623—42no—
232C2×#11924018C2311yescharacteristic
233C2×#11924018C2311yescharacteristic
234C2×#11924017C2311yescharacteristic
235C2×#11924017C2311yescharacteristic
236C2×#11924017C2311yescharacteristic
237C2×#11924016C2311yescharacteristic
238C2×#11924015C2311yescharacteristic
239C2×#11924015C2311yescharacteristic
240C2×#11924015C2311yescharacteristic
241SD16×D73—24no—
242#14556599—42no—
243#14556597—42no—
244C2×#11924012C2311yescharacteristic
245C2×#11924011C2311yescharacteristic
246C2×#11924011C2311yescharacteristic
247C2×#11924011C2311yescharacteristic
248C2×#11924011C2311yescharacteristic
249C22×#10596831C2311yescharacteristic
250C2×C8×D73C2311yescharacteristic
251C2×C8×D73C2311yescharacteristic
252C2×C8×D73C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254#14556590—21no—
255#14556590—21no—
256#14556590D411yescharacteristic
257#14556590C2311yescharacteristic
258#14556590C2311yescharacteristic
259#14556588C2311yescharacteristic
260#14556587D411yescharacteristic
261#14556586—21no—
262#14556586—21no—
263#14556585—21no—
264#14556585—21no—
265#14556584—21no—
266#14556584—21no—
267#14556584—21no—
268#14556583C2311yescharacteristic
269#14556582—21no—
270#14556581—21no—
271#14556581—21no—
272#14556581—21no—
273#14556581—21no—
274#14556580C2311yescharacteristic
275#14556580C2311yescharacteristic
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577D411yescharacteristic
281#14556577D411yescharacteristic
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556574—21no—
291#14556574—21no—
292#14556573—21no—
293#14556573—21no—
294#14556572—21no—
295#14556571—21no—
296#14556571C2311yescharacteristic
297#14556571C2311yescharacteristic
298#14556570—21no—
299#14556570C2311yescharacteristic
300#14556570C2311yescharacteristic
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556569—21no—
305#14556569—21no—
306#14556568—21no—
307#14556567C2311yescharacteristic
308#14556567C2311yescharacteristic
309#14556567C2311yescharacteristic
310#14556567C2311yescharacteristic
311#14556566—21no—
312#14556566—21no—
313#14556566—21no—
314#14556566—21no—
315#14556566—21no—
316#14556566—21no—
317#14556566—21no—
318#14556566—21no—
319#14556566D411yescharacteristic
320#14556566C2311yescharacteristic
321#14556566C2311yescharacteristic
322#14556565—21no—
323#14556565C2311yescharacteristic
324#14556565C2311yescharacteristic
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556564—21no—
329#14556564D411yescharacteristic
330#14556564D411yescharacteristic
331#14556563—21no—
332#14556563—21no—
333#14556562D411yescharacteristic
334#14556561—21no—
335#14556561—21no—
336#14556561—21no—
337#14556561—21no—
338#14556561—21no—
339#14556561—21no—
340#14556559—21no—
341#14556559—21no—
342Q8×Dic73C2311yescharacteristic
343C4×Dic146—21no—
344C4×Dic146—21no—
345C4×Dic146—21no—
346C4×Dic146C2311yescharacteristic
347#14556556—21no—
348#14556556—21no—
349#14556556—21no—
350#14556556—21no—
351#14556556—21no—
352#14556556C2311yescharacteristic
353C4×D292—21no—
354C4×D292C2311yescharacteristic
355C4×D292C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357#14556553—21no—
358#14556553—21no—
359#14556553—21no—
360#14556553C2311yescharacteristic
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
365C4×C22⋊D73C2311yescharacteristic
366C4×C22⋊D73C2311yescharacteristic
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556550C2311yescharacteristic
372#14556549—21no—
373#14556549C2311yescharacteristic
374#14556549C2311yescharacteristic
375#14556549C2311yescharacteristic
376#14556549C2311yescharacteristic
377#14556548—21no—
378#14556547—21no—
379C2×C4⋊Dic73C2311yescharacteristic
380C4⋊C4×D73—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73C2311yescharacteristic
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic
385C4⋊C4×D73C2311yescharacteristic
386C2×#11924005—21no—
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C42×D73—21no—
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556502C2311yescharacteristic
442#14556501C2311yescharacteristic
443#14556501C2311yescharacteristic
444C2×#41×C73C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×Q16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×M16×C73C2311yescharacteristic
450C22×C8×C73C2311yescharacteristic
451C4⋊Q8×C73C2311yescharacteristic
452#126×C73—21no—
453#125×C73—21no—
454#125×C73C2311yescharacteristic
455#123×C73—21no—
456#123×C73—21no—
457#123×C73—21no—
458C22⋊Q8×C73C2311yescharacteristic
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463C4×Q8×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466#117×C73—21no—
467#117×C73C2311yescharacteristic
468C2×C4⋊C4×C73—21no—
469C2×C4⋊C4×C73C2311yescharacteristic
470#107×C73C2311yescharacteristic
471#107×C73C2311yescharacteristic
472#106×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic
486#97×C73C2311yescharacteristic
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490C23×D73—21no—
491C23×D73—21no—
492#11924029—22no—
493#11924029—22no—
494#11924029—22no—
495#11924029—22no—
496#11924029—22no—
497#11924029—22no—
498#11924029—41no—
499#11924029—41no—
500#11924028—22no—
501#11924028—22no—
502#11924028—22no—
503#11924028—22no—
504#11924028—44no—
505#11924028—44no—
506C2×Dic146—21no—
507C2×Dic146—21no—
508C2×Dic146—21no—
509C2×Dic146C2×D411yescharacteristic
510C2×Dic146C2×D411yescharacteristic
511C2×Dic146C2411yescharacteristic
512Q8×D73—22no—
513Q8×D73—22no—
514C2×D292—22no—
515C2×D292—22no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—41no—
527C2×D292—41no—
528C2×D292—44no—
529C2×D292—44no—
530C2×D292—82no—
531C2×D292C2×D411yescharacteristic
532C2×D292C2×D411yescharacteristic
533C2×D292C2×D411yescharacteristic
534C2×D292C2411yescharacteristic
535C2×D292C2411yescharacteristic
536C2×D292C2411yescharacteristic
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73C2×D411yescharacteristic
543C2×C22⋊D73C2×D411yescharacteristic
544C2×C22⋊D73C2×D411yescharacteristic
545C2×C22⋊D73C2×D411yescharacteristic
546C2×C22⋊D73C2×D411yescharacteristic
547C2×C22⋊D73C2×D411yescharacteristic
548D4×D73—22no—
549D4×D73—22no—
550D4×D73—22no—
551D4×D73—41no—
552D4×D73—41no—
553D4×D73—44no—
554D4×D73—44no—
555D4×D73—44no—
556D4×D73—44no—
557D4×D73—82no—
558D4×D73#4114yes—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—82no—
573C2×C4×D73C2×D411yescharacteristic
574C2×C4×D73C2×D411yescharacteristic
575C2×C4×D73C2411yescharacteristic
576C2×C4×D73C2411yescharacteristic
577C2×C4×D73C2411yescharacteristic
578#11924018—41no—
579#11924018—41no—
580#11924017—22no—
581#11924017—41no—
582#11924017—41no—
583#11924016—22no—
584#11924015—22no—
585#11924015—41no—
586#11924015—41no—
587#11924012—41no—
588#11924011—22no—
589#11924011—22no—
590#11924011—41no—
591#11924011—41no—
592C2×#10596831—41no—
593C2×#10596831C2411yescharacteristic
594C2×#10596831C2411yescharacteristic
595C2×#10596831C2411yescharacteristic
596C2×#10596831C2411yescharacteristic
597C8×D73—22no—
598C8×D73—22no—
599C8×D73—41no—
600C8×D73—41no—
601C4⋊Dic73—21no—
602C4⋊Dic73—21no—
603C4⋊Dic73—21no—
604C4⋊Dic73—21no—
605C4⋊Dic73C2×D411yescharacteristic
606C4⋊Dic73C2411yescharacteristic
607C4⋊Dic73C2411yescharacteristic
608C4⋊Dic73C2411yescharacteristic
609C4⋊Dic73C2411yescharacteristic
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007C2×D411yescharacteristic
627#11924007C2×D411yescharacteristic
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73C2×D411yescharacteristic
633C22⋊Dic73C2×D411yescharacteristic
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005C2×D411yescharacteristic
655#11924005C2×D411yescharacteristic
656#11924005C2×D411yescharacteristic
657#11924005C2×D411yescharacteristic
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73C2×D411yescharacteristic
667C4×Dic73C2×D411yescharacteristic
668C4×Dic73C2411yescharacteristic
669#41×C73—22no—
670#41×C73—22no—
671#41×C73—41no—
672#41×C73—41no—
673C2×Q8×C73C2411yescharacteristic
674C2×Q8×C73C2411yescharacteristic
675C2×Q8×C73C2411yescharacteristic
676C2×D4×C73—21no—
677C2×D4×C73—21no—
678C2×D4×C73C2×D411yescharacteristic
679C2×D4×C73C2411yescharacteristic
680C22×C4×C73—21no—
681C22×C4×C73—21no—
682C22×C4×C73—21no—
683C22×C4×C73—21no—
684C22×C4×C73C2411yescharacteristic
685C22×C4×C73C2411yescharacteristic
686Q16×C73—41no—
687Q16×C73—41no—
688SD16×C73—22no—
689M16×C73—41no—
690C2×C8×C73—41no—
691C2×C8×C73C2411yescharacteristic
692C2×C8×C73C2411yescharacteristic
693C2×C8×C73C2411yescharacteristic
694C2×C8×C73C2411yescharacteristic
695C4⋊C4×C73—21no—
696C4⋊C4×C73—21no—
697C4⋊C4×C73—21no—
698C4⋊C4×C73—21no—
699C4⋊C4×C73—21no—
700C4⋊C4×C73—21no—
701C4⋊C4×C73—21no—
702C4⋊C4×C73—21no—
703C4⋊C4×C73—21no—
704C4⋊C4×C73—21no—
705C4⋊C4×C73C2×D411yescharacteristic
706C4⋊C4×C73C2411yescharacteristic
707C4⋊C4×C73C2411yescharacteristic
708C4⋊C4×C73C2411yescharacteristic
709C4⋊C4×C73C2411yescharacteristic
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73C2×D411yescharacteristic
717C22⋊C4×C73C2×D411yescharacteristic
718C42×C73—21no—
719C42×C73—21no—
720C42×C73C2411yescharacteristic
721C23×C73—21no—
722C23×C73C22×D411yescharacteristic
723C23×C73C22×D411yescharacteristic
724C22×D73—21no—
725C22×D73—24no—
726C22×D73—21no—
727C22×D73—21no—
728C22×D73—42no—
729C22×D73—42no—
730C22×D73—42no—
731C22×D73—42no—
732C22×D73—81no—
733C22×D73—81no—
734C22×D73—81no—
735C22×D73—81no—
736C22×D73—81no—
737C22×D73—81no—
738C22×D73—81no—
739C22×D73—81no—
740C22×D73—81no—
741C22×D73—81no—
742C22×D73C22×D411yescharacteristic
743C22×D73C22×D411yescharacteristic
744C22×D73C22×D411yescharacteristic
745Q8×C73—21no—
746Q8×C73—21no—
747Q8×C73—21no—
748Q8×C73—21no—
749Q8×C73—21no—
750Q8×C73—21no—
751D4×C73—21no—
752D4×C73—41no—
753D4×C73—42no—
754D4×C73—42no—
755D4×C73C2×#4112yes—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—21no—
766C2×C4×C73—21no—
767C2×C4×C73—42no—
768C2×C4×C73—42no—
769C2×C4×C73—42no—
770C2×C4×C73—81no—
771C2×C4×C73C22×D411yescharacteristic
772C2×C4×C73C22×D411yescharacteristic
773C2×C4×C73C22×D411yescharacteristic
774C2×C4×C73C22×D411yescharacteristic
775C2×C4×C73C2511yescharacteristic
776C22⋊D73—22no—
777C22⋊D73—22no—
778C22⋊D73—24no—
779C22⋊D73—22no—
780C22⋊D73—22no—
781C22⋊D73—41no—
782C22⋊D73—41no—
783C22⋊D73—42no—
784C22⋊D73—42no—
785C22⋊D73—81no—
786C22⋊D73—81no—
787C2×Dic73—21no—
788C2×Dic73—21no—
789C2×Dic73—21no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—81no—
793C2×Dic73—81no—
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798C2×Dic73C22×D411yescharacteristic
799D292—22no—
800D292—22no—
801D292—21no—
802D292—21no—
803D292—21no—
804D292—21no—
805D292—21no—
806D292—41no—
807D292—42no—
808D292—42no—
809D292—42no—
810D292—42no—
811D292—42no—
812D292—42no—
813D292—42no—
814D292—81no—
815D292—81no—
816D292—81no—
817D292C2×#4112yes—
818C4×D73—21no—
819C4×D73—21no—
820C4×D73—21no—
821C4×D73—21no—
822C4×D73—41no—
823C4×D73—41no—
824C4×D73—42no—
825C4×D73—42no—
826C4×D73—42no—
827C4×D73—42no—
828C4×D73—42no—
829C4×D73—42no—
830C4×D73—81no—
831C4×D73—81no—
832C4×D73—81no—
833C4×D73—81no—
834C4×D73—81no—
835C4×D73C2×#4112yes—
836C4×D73H(5,𝔽2)12yes—
837Dic146—22no—
838Dic146—22no—
839Dic146—21no—
840Dic146—21no—
841Dic146—42no—
842Dic146—42no—
843Dic146—81no—
844C8×C73—21no—
845C8×C73—21no—
846C8×C73—21no—
847C8×C73—21no—
848#10596831—21no—
849#10596831—21no—
850#10596831—21no—
851#10596831—21no—
852C22×C73—21no—
853C22×C73—21no—
854C22×C73—21no—
855C22×C73—21no—
856C22×C73—21no—
857C22×C73—21no—
858C22×C73—22no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73C23×D411yescharacteristic
862C2×D73—21no—
863C2×D73—21no—
864C2×D73—21no—
865C2×D73—21no—
866C2×D73—21no—
867C2×D73—21no—
868C2×D73—21no—
869C2×D73—21no—
870C2×D73—22no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—84no—
880C2×D73—162no—
881C2×D73—162no—
882C2×D73—162no—
883C2×D73—162no—
884C2×D73#54612yes—
885C4×C73—21no—
886C4×C73—21no—
887C4×C73—21no—
888C4×C73—21no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73—41no—
892C4×C73—41no—
893C4×C73—41no—
894C4×C73—41no—
895C4×C73—41no—
896C4×C73C22×#4111yescharacteristic
897C4×C73C2×H(5,𝔽2)11yescharacteristic
898Dic73—21no—
899Dic73—21no—
900Dic73—21no—
901Dic73—21no—
902Dic73—41no—
903Dic73—41no—
904Dic73—41no—
905Dic73—41no—
906Dic73—41no—
907Dic73#54612yes—
908#61219—731nomaximal, Sylow
909C2×C73—42no—
910C2×C73—41no—
911C2×C73—41no—
912C2×C73C2×#54611yescharacteristic
913C2×C73#358511yescharacteristic
914C2×C73#358611yescharacteristic
915D73—22no—
916D73—41no—
917D73—41no—
918D73—42no—
919D73—81no—
920D73—81no—
921#3507—731no—
922#3496—731no—
923#3315—731no—
924#3315—731no—
925#3315—731no—
926#3315D7311yescharacteristic, complemented
927#3314—731no—
928#3314—731no—
929#3314—731no—
930#3314—731no—
931#3311—731no—
932#3311—731no—
933#3311—731no—
934#3311—731no—
935#3310—731no—
936#3310—731no—
937#3310—731no—
938#3310—731no—
939#3135—731no—
940#3098—731no—
941#3098—731no—
942#3077—731no—
943#3063—731no—
944#3063—731no—
945#3037—731no—
946#3009—731no—
947#3009—731no—
948C2×#440—731no—
949#2932—731no—
950#2897—731no—
951#2897—731no—
952C73#6121911yescharacteristic, complemented, Sylow
953C2×H(5,𝔽2)—731no—
954C2×H(5,𝔽2)—731no—
955C2×#137—731no—
956C2×#137—731no—
957C22×SD16—731no—
958C2×#131—731no—
959C2×#131—731no—
960#559—1461no—
961#557—1461no—
962#556—731no—
963#556—731no—
964#556—1461no—
965#556—1461no—
966#554—731no—
967#554—731no—
968#552—731no—
969#552—731no—
970#552—731no—
971#552C2×D7311yescharacteristic, complemented
972#547—731no—
973#547—1461no—
974#547C2×D7311yescharacteristic
975#546—731no—
976#546—731no—
977#546—731no—
978#546—731no—
979#546—1461no—
980#546—1461no—
981D42—731no—
982D42—731no—
983D42—1461no—
984#539—1461no—
985#539—1461no—
986#537—731no—
987#537—731no—
988#536—731no—
989#536—731no—
990#534—1461no—
991#534—1461no—
992#533—731no—
993#532—731no—
994#532—731no—
995#529—1461no—
996#529—1461no—
997C2×#121—1461no—
998C2×#121—1461no—
999#520—731no—
1000#520—731no—
1001C2×C4×Q8—731no—
1002C2×C4×D4—731no—
1003#491—731no—
1004#491C2×D7311yescharacteristic, complemented
1005#490—731no—
1006#490—731no—
1007#489—731no—
1008#489—731no—
1009#489—731no—
1010#489—731no—
1011#485—731no—
1012#485—731no—
1013#485—731no—
1014#485C2×D7311yescharacteristic, complemented
1015#484—731no—
1016#484—731no—
1017#484—731no—
1018#484C2×D7311yescharacteristic, complemented
1019#482—731no—
1020#482—731no—
1021#482—731no—
1022#482—731no—
1023#480—731no—
1024#480—731no—
1025#480—731no—
1026#480—731no—
1027#478—731no—
1028#478—731no—
1029#478—731no—
1030#478C2×D7311yescharacteristic, complemented
1031#476—731no—
1032#476—731no—
1033#474—731no—
1034#474—731no—
1035#470—731no—
1036#470—731no—
1037#470—731no—
1038#470C2×D7311yescharacteristic, complemented
1039#468—731no—
1040#468—731no—
1041#468—731no—
1042#468—731no—
1043#467—731no—
1044#467—731no—
1045#467—731no—
1046#467C2×D7311yescharacteristic, complemented
1047#465—731no—
1048#465—731no—
1049#465—731no—
1050#465—731no—
1051#464—731no—
1052#464—731no—
1053#464—731no—
1054#464—731no—
1055#462—731no—
1056#462C2×D7311yescharacteristic, complemented
1057#460—731no—
1058#460—731no—
1059#452—731no—
1060#452—731no—
1061#452—731no—
1062#452—731no—
1063#452—731no—
1064#452—731no—
1065#452C2×D7311yescharacteristic, complemented
1066#452C2×D7311yescharacteristic, complemented
1067#450—731no—
1068#450—731no—
1069#450—731no—
1070#450—731no—
1071#450—731no—
1072#450—731no—
1073#450—731no—
1074#450—731no—
1075#440—731no—
1076#440—731no—
1077#440—731no—
1078#440—731no—
1079#440—731no—
1080#440—731no—
1081#440—731no—
1082#440C2×D7311yescharacteristic, complemented
1083#435—731no—
1084#435—731no—
1085#435—731no—
1086#435—731no—
1087#435—731no—
1088#435—731no—
1089#435—731no—
1090#435C2×D7311yescharacteristic, complemented
1091#428—731no—
1092#428—731no—
1093C2×#107—731no—
1094#423—731no—
1095#418—731no—
1096#418—731no—
1097#418—731no—
1098#418—731no—
1099#418—731no—
1100#418—731no—
1101#417—731no—
1102#417—731no—
1103#417—731no—
1104#417—731no—
1105#417—731no—
1106#417C2×D7311yescharacteristic, complemented
1107#416—731no—
1108#416—731no—
1109#416—731no—
1110#416—731no—
1111#416—731no—
1112#416—731no—
1113#416—731no—
1114#416C2×D7311yescharacteristic, complemented
1115C2×#103—731no—
1116C2×#102—731no—
1117C2×#102—731no—
1118C2×#102—731no—
1119C2×#102—731no—
1120C2×#102—731no—
1121#408—731no—
1122#408—731no—
1123C2×#97—731no—
1124H(5,𝔽2)—2922no—
1125H(5,𝔽2)—2922no—
1126H(5,𝔽2)—1464no—
1127H(5,𝔽2)—1464no—
1128C2×#41—731no—
1129C2×#41—731no—
1130C2×#41—731no—
1131C2×#41—731no—
1132C2×#41—731no—
1133C2×#41—731no—
1134C2×#41—1461no—
1135C2×#41—1461no—
1136C2×#41C22×D7311yescharacteristic
1137C2×#41C22×D7311yescharacteristic
1138C22×Q8—731no—
1139C22×D4—731no—
1140C22×D4—731no—
1141C22×D4—731no—
1142C22×D4—731no—
1143C22×D4—731no—
1144C22×D4—1461no—
1145C22×D4—1461no—
1146C22×D4—1461no—
1147C22×D4—1461no—
1148C22×D4—1461no—
1149C22×D4—1461no—
1150C22×D4—1461no—
1151C22×D4—1461no—
1152C23×C4—1461no—
1153#137—2922no—
1154#137—2922no—
1155C2×Q16—731no—
1156C2×Q16—731no—
1157C2×Q16C22×D7311yescharacteristic
1158C2×Q16C22×D7311yescharacteristic
1159C2×SD16—731no—
1160C2×SD16—731no—
1161C2×SD16—731no—
1162C2×SD16—731no—
1163C2×SD16—731no—
1164C2×SD16—731no—
1165C2×SD16—731no—
1166C2×SD16—1464no—
1167C2×SD16C22×D7311yescharacteristic
1168#131—2922no—
1169#131—2922no—
1170C2×M16—731no—
1171C2×M16—731no—
1172C2×M16—731no—
1173C2×M16—731no—
1174C2×M16—731no—
1175C2×M16C22×D7311yescharacteristic
1176C22×C8—731no—
1177C22×C8—731no—
1178C22×C8—731no—
1179C22×C8—731no—
1180C22×C8—731no—
1181C22×C8C22×D7311yescharacteristic
1182C4⋊Q8—731no—
1183C4⋊Q8—731no—
1184C4⋊Q8—731no—
1185C4⋊Q8—1461no—
1186C4⋊Q8—1461no—
1187C4⋊Q8C22×D7311yescharacteristic
1188#127—731no—
1189#127—731no—
1190#126—21no—
1191#126—1461no—
1192#126—1461no—
1193#126—1461no—
1194#126—1461no—
1195#126—1461no—
1196#126—1461no—
1197#126—1461no—
1198#125—21no—
1199#125—731no—
1200#125—1461no—
1201#125—1461no—
1202#125—1461no—
1203#125—1461no—
1204#125—1461no—
1205#125C22×D7311yescharacteristic
1206#124—731no—
1207#124—731no—
1208#124—731no—
1209#124—731no—
1210#124—1461no—
1211#124—1461no—
1212#124—1461no—
1213#124—1461no—
1214#123—21no—
1215#123—21no—
1216#123—21no—
1217#123—1461no—
1218#123—1461no—
1219#123—1461no—
1220#123—1461no—
1221#123—1461no—
1222#123—1461no—
1223#123—1461no—
1224#123—1461no—
1225#123—1461no—
1226#123—1461no—
1227#123—1461no—
1228#123—1461no—
1229#123—1461no—
1230C22⋊Q8—731no—
1231C22⋊Q8—731no—
1232C22⋊Q8—731no—
1233C22⋊Q8—731no—
1234C22⋊Q8—731no—
1235C22⋊Q8—731no—
1236C22⋊Q8—731no—
1237C22⋊Q8—731no—
1238C22⋊Q8—1461no—
1239C22⋊Q8—1461no—
1240C22⋊Q8—1461no—
1241C22⋊Q8—1461no—
1242C22⋊Q8—1461no—
1243C22⋊Q8—1461no—
1244C22⋊Q8—1461no—
1245C22⋊Q8—1461no—
1246C22⋊Q8C22×D7311yescharacteristic
1247C22⋊Q8C22×D7311yescharacteristic
1248C22⋊Q8C22×D7311yescharacteristic
1249C22⋊Q8C22×D7311yescharacteristic
1250#121—21no—
1251#121—731no—
1252#121—731no—
1253#121—731no—
1254#121—731no—
1255#121—731no—
1256#121—731no—
1257#121—731no—
1258#121—731no—
1259#121—1461no—
1260#121—1461no—
1261#121—1461no—
1262#121—1461no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121—1461no—
1272#121—1461no—
1273#121—1461no—
1274#120—1461no—
1275#120—1461no—
1276#120—1461no—
1277#120—1461no—
1278#120—1461no—
1279#120—1461no—
1280#120—1461no—
1281#120—1461no—
1282C4×Q8—731no—
1283C4×Q8—731no—
1284C4×Q8—731no—
1285C4×Q8—1461no—
1286C4×Q8—1461no—
1287C4×Q8—1461no—
1288C4×Q8—1461no—
1289C4×Q8—1461no—
1290C4×Q8—1461no—
1291C4×Q8—1461no—
1292C4×Q8—1461no—
1293C4×Q8C22×D7311yescharacteristic
1294C4×D4—731no—
1295C4×D4—731no—
1296C4×D4—731no—
1297C4×D4—731no—
1298C4×D4—731no—
1299C4×D4—731no—
1300C4×D4—1461no—
1301C4×D4—1461no—
1302C4×D4—1461no—
1303C4×D4—1461no—
1304C4×D4—1461no—
1305C4×D4—1461no—
1306C4×D4—1461no—
1307C4×D4—1461no—
1308C4×D4—1461no—
1309C4×D4—1461no—
1310C4×D4—1461no—
1311C4×D4—1461no—
1312C4×D4C22×D7311yescharacteristic
1313C4×D4C22×D7311yescharacteristic
1314#117—21no—
1315#117—731no—
1316#117—731no—
1317#117—731no—
1318#117—731no—
1319#117—731no—
1320#117—1461no—
1321#117—1461no—
1322#117—1461no—
1323#117C22×D7311yescharacteristic
1324C2×C4⋊C4—21no—
1325C2×C4⋊C4—731no—
1326C2×C4⋊C4—731no—
1327C2×C4⋊C4—731no—
1328C2×C4⋊C4—731no—
1329C2×C4⋊C4—731no—
1330C2×C4⋊C4—1461no—
1331C2×C4⋊C4—1461no—
1332C2×C4⋊C4C22×D7311yescharacteristic
1333C2×C22⋊C4—1461no—
1334C2×C22⋊C4—1461no—
1335C2×C22⋊C4—1461no—
1336C2×C22⋊C4—1461no—
1337C2×C22⋊C4—1461no—
1338C2×C42—731no—
1339C2×C42—1461no—
1340#107—731no—
1341#107—731no—
1342#107—731no—
1343#107—731no—
1344#107—731no—
1345#107—731no—
1346#107C22×D7311yescharacteristic
1347#107C22×D7311yescharacteristic
1348#106—731no—
1349#106—731no—
1350#106—731no—
1351#106C22×D7311yescharacteristic
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8—731no—
1355C4⋊C8C22×D7311yescharacteristic
1356#103—731no—
1357#103—731no—
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103C22×D7311yescharacteristic
1366#103C22×D7311yescharacteristic
1367#103C22×D7311yescharacteristic
1368#103C22×D7311yescharacteristic
1369#103C22×D7311yescharacteristic
1370#103C22×D7311yescharacteristic
1371#103C22×D7311yescharacteristic
1372#102—731no—
1373#102—731no—
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102—731no—
1393#102C22×D7311yescharacteristic
1394#102C22×D7311yescharacteristic
1395#102C22×D7311yescharacteristic
1396C22⋊C8—731no—
1397C22⋊C8—731no—
1398C22⋊C8—731no—
1399C22⋊C8—731no—
1400C22⋊C8—731no—
1401C22⋊C8—731no—
1402C22⋊C8C22×D7311yescharacteristic
1403C22⋊C8C22×D7311yescharacteristic
1404#97—731no—
1405#97—731no—
1406#97—731no—
1407#97C22×D7311yescharacteristic
1408C24—1461no—
1409C24—1461no—
1410C24—1461no—
1411C24—1461no—
1412C24—1461no—
1413#41—22no—
1414#41—22no—
1415#41—41no—
1416#41—41no—
1417#41—2924no—
1418#41—2924no—
1419#41—2921no—
1420#41—2921no—
1421#41—1462no—
1422#41—1462no—
1423#41—1462no—
1424#41—1462no—
1425#41—1462no—
1426#41—1462no—
1427#41—1462no—
1428#41—1462no—
1429#41—1462no—
1430#41—1462no—
1431C2×Q8—731no—
1432C2×Q8—731no—
1433C2×Q8—731no—
1434C2×Q8—1461no—
1435C2×Q8—1461no—
1436C2×Q8—1461no—
1437C2×Q8—1462no—
1438C2×Q8—1462no—
1439C2×Q8C23×D7311yescharacteristic
1440C2×Q8C23×D7311yescharacteristic
1441C2×Q8C23×D7311yescharacteristic
1442C2×D4—21no—
1443C2×D4—21no—
1444C2×D4—2921no—
1445C2×D4—2921no—
1446C2×D4—2924no—
1447C2×D4—2924no—
1448C2×D4—2924no—
1449C2×D4—2924no—
1450C2×D4—2924no—
1451C2×D4—2924no—
1452C2×D4—2921no—
1453C2×D4—2921no—
1454C2×D4—5842no—
1455C2×D4—5842no—
1456C2×D4—731no—
1457C2×D4—731no—
1458C2×D4—734no—
1459C2×D4—731no—
1460C2×D4—731no—
1461C2×D4—731no—
1462C2×D4—731no—
1463C2×D4—731no—
1464C2×D4—731no—
1465C2×D4—731no—
1466C2×D4—731no—
1467C2×D4—731no—
1468C2×D4—731no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1462no—
1474C2×D4—1462no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1462no—
1478C2×D4—1461no—
1479C2×D4—1461no—
1480C2×D4—1461no—
1481C2×D4—1462no—
1482C2×D4—1462no—
1483C2×D4—1461no—
1484C2×D4—1461no—
1485C2×D4—1461no—
1486C2×D4—1461no—
1487C2×D4—1461no—
1488C2×D4—1461no—
1489C2×D4D4×D7311yescharacteristic
1490C2×D4C23×D7311yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—5842no—
1496C22×C4—731no—
1497C22×C4—731no—
1498C22×C4—731no—
1499C22×C4—731no—
1500C22×C4—731no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4C23×D7311yescharacteristic
1515C22×C4C23×D7311yescharacteristic
1516Q16—41no—
1517Q16—41no—
1518Q16—2921no—
1519Q16—2921no—
1520SD16—22no—
1521SD16—2921no—
1522SD16—2921no—
1523SD16—2921no—
1524SD16—2921no—
1525SD16—1462no—
1526SD16—1462no—
1527SD16—1462no—
1528M16—41no—
1529M16—2921no—
1530M16—2921no—
1531M16—2921no—
1532M16—1462no—
1533M16—1462no—
1534C2×C8—41no—
1535C2×C8—2921no—
1536C2×C8—2921no—
1537C2×C8—2921no—
1538C2×C8—731no—
1539C2×C8—731no—
1540C2×C8—731no—
1541C2×C8—731no—
1542C2×C8—1462no—
1543C2×C8—1462no—
1544C2×C8C23×D7311yescharacteristic
1545C2×C8C23×D7311yescharacteristic
1546C2×C8C23×D7311yescharacteristic
1547C2×C8C23×D7311yescharacteristic
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—731no—
1559C4⋊C4—731no—
1560C4⋊C4—731no—
1561C4⋊C4—731no—
1562C4⋊C4—731no—
1563C4⋊C4—731no—
1564C4⋊C4—731no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4—1461no—
1582C4⋊C4—1461no—
1583C4⋊C4—1461no—
1584C4⋊C4—1461no—
1585C4⋊C4D4×D7311yescharacteristic
1586C4⋊C4C23×D7311yescharacteristic
1587C4⋊C4C23×D7311yescharacteristic
1588C4⋊C4C23×D7311yescharacteristic
1589C4⋊C4C23×D7311yescharacteristic
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—731no—
1597C22⋊C4—731no—
1598C22⋊C4—731no—
1599C22⋊C4—731no—
1600C22⋊C4—731no—
1601C22⋊C4—731no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4D4×D7311yescharacteristic
1627C22⋊C4D4×D7311yescharacteristic
1628C42—21no—
1629C42—21no—
1630C42—731no—
1631C42—731no—
1632C42—731no—
1633C42—1461no—
1634C42—1461no—
1635C42—1461no—
1636C42—1461no—
1637C42—1461no—
1638C42—1461no—
1639C42—1461no—
1640C42—1461no—
1641C42C23×D7311yescharacteristic
1642C23—21no—
1643C23—2922no—
1644C23—2922no—
1645C23—2922no—
1646C23—2922no—
1647C23—5841no—
1648C23—5841no—
1649C23—5841no—
1650C23—5841no—
1651C23—5841no—
1652C23—5841no—
1653C23—5841no—
1654C23—5841no—
1655C23—5841no—
1656C23—5841no—
1657C23—731no—
1658C23—731no—
1659C23—731no—
1660C23—1464no—
1661C23—1461no—
1662C23—1461no—
1663C23—1461no—
1664C23C2×D4×D7311yescharacteristic
1665C23C2×D4×D7311yescharacteristic
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—21no—
1671Q8—21no—
1672Q8—2922no—
1673Q8—2922no—
1674Q8—5841no—
1675Q8—1462no—
1676Q8—1462no—
1677Q8—1461no—
1678Q8—1461no—
1679D4—21no—
1680D4—41no—
1681D4—42no—
1682D4—42no—
1683D4—2922no—
1684D4—2922no—
1685D4—2922no—
1686D4—2921no—
1687D4—2922no—
1688D4—2922no—
1689D4—2922no—
1690D4—2922no—
1691D4—2922no—
1692D4—2922no—
1693D4—2921no—
1694D4—2921no—
1695D4—5841no—
1696D4—5841no—
1697D4—5841no—
1698D4—5841no—
1699D4—5841no—
1700D4—732no—
1701D4—1462no—
1702D4—1462no—
1703D4—1464no—
1704D4—1462no—
1705D4—1462no—
1706D4—1462no—
1707D4—1462no—
1708D4—1461no—
1709D4—1461no—
1710D4—1461no—
1711D4—1461no—
1712D4—1461no—
1713D4#41×D7312yes—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—42no—
1726C2×C4—42no—
1727C2×C4—42no—
1728C2×C4—81no—
1729C2×C4—2922no—
1730C2×C4—2921no—
1731C2×C4—2921no—
1732C2×C4—2922no—
1733C2×C4—2922no—
1734C2×C4—2922no—
1735C2×C4—2922no—
1736C2×C4—2922no—
1737C2×C4—5841no—
1738C2×C4—5841no—
1739C2×C4—5841no—
1740C2×C4—5841no—
1741C2×C4—5841no—
1742C2×C4—5841no—
1743C2×C4—5841no—
1744C2×C4—731no—
1745C2×C4—732no—
1746C2×C4—732no—
1747C2×C4—731no—
1748C2×C4—731no—
1749C2×C4—731no—
1750C2×C4—731no—
1751C2×C4—1461no—
1752C2×C4—1461no—
1753C2×C4—1461no—
1754C2×C4—1461no—
1755C2×C4—1461no—
1756C2×C4—1461no—
1757C2×C4—1461no—
1758C2×C4—1461no—
1759C2×C4—1461no—
1760C2×C4C2×D4×D7311yescharacteristic
1761C2×C4C2×D4×D7311yescharacteristic
1762C2×C4C2×D4×D7311yescharacteristic
1763C2×C4C2×D4×D7311yescharacteristic
1764C2×C4C24×D7311yescharacteristic
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—1461no—
1770C8—1461no—
1771C8—1461no—
1772C8—1461no—
1773C22—21no—
1774C22—21no—
1775C22—22no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—41no—
1781C22—41no—
1782C22—2921no—
1783C22—2921no—
1784C22—2921no—
1785C22—2921no—
1786C22—2921no—
1787C22—2921no—
1788C22—2921no—
1789C22—2921no—
1790C22—5844no—
1791C22—732no—
1792C22—11682no—
1793C22—11682no—
1794C22—11682no—
1795C22—11682no—
1796C22—1462no—
1797C22—1461no—
1798C22—1461no—
1799C22—1461no—
1800C22—1461no—
1801C22—1461no—
1802C22—1461no—
1803C22—1461no—
1804C22—1461no—
1805C22C22×D4×D7311yescharacteristic
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—2921no—
1818C4—2921no—
1819C4—2921no—
1820C4—2921no—
1821C4—2921no—
1822C4—732no—
1823C4—1461no—
1824C4—1461no—
1825C4—1461no—
1826C4—1461no—
1827C4C2×#41×D7311yescharacteristic
1828C4H(5,𝔽2)×D7311yescharacteristic
1829C2—41no—
1830C2—41no—
1831C2—42no—
1832C2—2922no—
1833C2—2921no—
1834C2—2921no—
1835C2—5841no—
1836C2—5841no—
1837C2—1462no—
1838C2#546×D7311yescharacteristic
1839C2#2262470811yescharacteristic
1840C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3315C2
socleC22×C73C23×D4
prime radical#22623689C2
hypercenter#3315D73
hypocenterC73#61219
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3315

Complements

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

NH ≅ G/Ntype
1. #22623790C2semidirect
3. #22622034C2semidirect
4. #22622027C2semidirect
5. #22622026C2semidirect
6. #22622018C2semidirect
7. #22622013C2semidirect
8. #22622010C2semidirect
9. #22622005C2semidirect
10. #22621971C2semidirect
11. #22621970C2semidirect
12. #22621963C2semidirect
13. #22621962C2semidirect
14. #22621957C2semidirect
15. #22621954C2semidirect
16. #22621949C2semidirect
17. #22621946C2semidirect
18. #22620278C2semidirect
19. #22619912C2semidirect
20. #22619910C2semidirect
21. #22619726C2semidirect
22. #22619621C2semidirect
23. #22619619C2semidirect
24. #22619404C2semidirect
25. #22619205C2semidirect
26. #22619205C2semidirect
27. #440×D73C2semidirect
28. #22618645C2semidirect
29. #22618455C2semidirect
30. #22618453C2semidirect
31. C73×#3315C2semidirect
34. C2×#14556623C22semidirect
35. C2×#14556623C22semidirect
37. C2×#14556599C22semidirect
38. C2×#14556597C22semidirect
41. #17989308C22semidirect
43. #17989305C22semidirect
45. #17989295C22semidirect
46. #17989292C22semidirect
47. #17989278C22semidirect
48. #17989277C22semidirect
49. #17989275C22semidirect
65. #17989160C22semidirect
66. #17989160C22semidirect
69. #17989143C22semidirect
76. #17989068C22semidirect
77. #17989067C22semidirect
78. C4×Q8×D73C22semidirect
80. #17988955C22semidirect
81. #17988953C22semidirect
82. #17988952C22semidirect
83. #17988948C22semidirect
84. #17988948C22semidirect
85. #17988948C22semidirect
86. #17988948C22semidirect
87. #17988927C22semidirect
88. #17988926C22semidirect
89. #17988925C22semidirect
90. #17988921C22semidirect
91. #17988921C22semidirect
92. #17988920C22semidirect
93. #17988914C22semidirect
94. #17988913C22semidirect
95. #17988912C22semidirect
96. #17988911C22semidirect
97. #17988902C22semidirect
98. #17988902C22semidirect
99. #17988901C22semidirect
100. #17988900C22semidirect
101. #17988888C22semidirect
102. #17988887C22semidirect
103. #17988884C22semidirect
104. #17988876C22semidirect
105. #17988875C22semidirect
106. #17988866C22semidirect
107. #17988865C22semidirect
108. #17988844C22semidirect
109. #17988843C22semidirect
110. #17988842C22semidirect
111. #17988836C22semidirect
112. #17988835C22semidirect
113. #17988834C22semidirect
114. #17988833C22semidirect
115. #17988827C22semidirect
116. #17988826C22semidirect
117. #17988825C22semidirect
118. #17988819C22semidirect
119. #17988818C22semidirect
120. #17988817C22semidirect
121. #17988816C22semidirect
122. #17988812C22semidirect
123. #17988812C22semidirect
124. #17988811C22semidirect
125. #17988811C22semidirect
126. #17988794C22semidirect
127. #17988788C22semidirect
128. #17988787C22semidirect
129. #17988752C22semidirect
130. #17988752C22semidirect
131. #17988749C22semidirect
132. #17988749C22semidirect
133. #17988748C22semidirect
134. #17988748C22semidirect
135. #17988740C22semidirect
136. #17988740C22semidirect
137. #17988739C22semidirect
138. #17988739C22semidirect
139. #17988737C22semidirect
140. #17988737C22semidirect
141. #17988736C22semidirect
142. #17988736C22semidirect
143. #17988690C22semidirect
144. #17988689C22semidirect
145. #17988688C22semidirect
146. #17988687C22semidirect
147. #17988686C22semidirect
148. #17988685C22semidirect
149. #17988684C22semidirect
150. #17988661C22semidirect
151. #17988660C22semidirect
152. #17988659C22semidirect
153. #17988658C22semidirect
154. #17988657C22semidirect
155. #17988656C22semidirect
156. #17988655C22semidirect
157. #17988628C22semidirect
158. #17988626C22semidirect
159. #107×D73C22semidirect
160. #17988609C22semidirect
161. #17988593C22semidirect
162. #17988591C22semidirect
165. #17988590C22semidirect
166. #17988590C22semidirect
167. #17988588C22semidirect
168. #17988587C22semidirect
169. #17988587C22semidirect
170. #17988587C22semidirect
171. #17988587C22semidirect
172. #17988583C22semidirect
173. #17988582C22semidirect
174. #17988582C22semidirect
175. #17988582C22semidirect
176. #17988582C22semidirect
177. #17988582C22semidirect
178. #17988582C22semidirect
179. #103×D73C22semidirect
180. C2×#14556513C22semidirect
181. C2×#14556511C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. #17988552C22semidirect
186. #17988552C22semidirect
187. #97×D73C22semidirect
188. #552×C73C22semidirect
190. #491×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #478×C73C22semidirect
194. #470×C73C22semidirect
195. #467×C73C22semidirect
196. #462×C73C22semidirect
197. #452×C73C22semidirect
198. #452×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. #416×C73C22semidirect
926. #3315D73semidirect
952. C73#61219semidirect
971. #552C2×D73semidirect
1004. #491C2×D73semidirect
1014. #485C2×D73semidirect
1018. #484C2×D73semidirect
1030. #478C2×D73semidirect
1038. #470C2×D73semidirect
1046. #467C2×D73semidirect
1056. #462C2×D73semidirect
1065. #452C2×D73semidirect
1066. #452C2×D73semidirect
1082. #440C2×D73semidirect
1090. #435C2×D73semidirect
1106. #417C2×D73semidirect
1114. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237902
#226236892
#226220342
#226220272
#226220262
#226220182
#226220132
#226220102
#226220052
#226219712
#226219702
#226219632
#226219622
#226219572
#226219542
#226219492
#226219462
#226202782
#226199122
#226199102
#226197262
#226196212
#226196192
#226194042
#226192052
#440×D732
#226186452
#226184552
#226184532
C73×#33152
#6121973