Finite Group Databasebeta

← #33957897

Subgroups — #33957897

Order 18688.

2144 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623706C211yesmaximal, characteristic, complemented
2#22623363C211yesmaximal, characteristic, complemented
3#22621032C211yesmaximal, characteristic, complemented
4#22621030C211yesmaximal, characteristic, complemented
5#22621027C211yesmaximal, characteristic, complemented
6#22621025C211yesmaximal, characteristic, complemented
7#22621002C211yesmaximal, characteristic, complemented
8#22621000C211yesmaximal, characteristic, complemented
9#22620997C211yesmaximal, characteristic, complemented
10#22620952C211yesmaximal, characteristic, complemented
11#22620950C211yesmaximal, characteristic, complemented
12#22620939C211yesmaximal, characteristic, complemented
13#22620937C211yesmaximal, characteristic, complemented
14#22620910C211yesmaximal, characteristic, complemented
15#22620908C211yesmaximal, characteristic, complemented
16#22620870C211yesmaximal, characteristic, complemented
17#22620868C211yesmaximal, characteristic, complemented
18#22620406C211yesmaximal, characteristic, complemented
19#22620400C211yesmaximal, characteristic, complemented
20#22620286C211yesmaximal, characteristic, complemented
21#22620284C211yesmaximal, characteristic, complemented
22#22619408C211yesmaximal, characteristic, complemented
23#22619401C211yesmaximal, characteristic, complemented
24#22619385C211yesmaximal, characteristic, complemented
25#460×D73C211yesmaximal, characteristic, complemented
26#22619239C211yesmaximal, characteristic, complemented
27#22619236C211yesmaximal, characteristic, complemented
28#22619205C211yesmaximal, characteristic, complemented
29#22619203C211yesmaximal, characteristic, complemented
30#22618594C211yesmaximal, characteristic, complemented
31C73×#3222C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#14556636C2211yescharacteristic
34C2×#14556623C2211yescharacteristic, complemented
35C2×#14556620C2211yescharacteristic, complemented
36C2×#14556618C2211yescharacteristic, complemented
37C2×#14556618C2211yescharacteristic, complemented
38C2×#14556614C2211yescharacteristic, complemented
39C2×#14556612C2211yescharacteristic, complemented
40C2×SD16×D73C2211yescharacteristic, complemented
41C2×SD16×D73C2211yescharacteristic, complemented
42#17989255—21no—
43#17989255—21no—
44#17989221—21no—
45#17989221—21no—
46#17989219—21no—
47#17989219—21no—
48#17989219—21no—
49#17989219—21no—
50#17989217C2211yescharacteristic, complemented
51#17989209C2211yescharacteristic, complemented
52#17989208C2211yescharacteristic, complemented
53#17989203—21no—
54#17989196—21no—
55#17989195C2211yescharacteristic, complemented
56#17989185—21no—
57#17989178—21no—
58#17989167C2211yescharacteristic
59#17989162C2211yescharacteristic, complemented
60#17989160C2211yescharacteristic
61#17989156C2211yescharacteristic
62#17989155C2211yescharacteristic
63#17989155C2211yescharacteristic
64#17989150C2211yescharacteristic
65#17989150C2211yescharacteristic
66#17989143—21no—
67#17989142C2211yescharacteristic, complemented
68#17989139C2211yescharacteristic, complemented
69#17989136C2211yescharacteristic
70#17989136C2211yescharacteristic
71#17989133C2211yescharacteristic
72C2×#14556587C2211yescharacteristic
73#127×D73C2211yescharacteristic
74#127×D73C2211yescharacteristic
75#17989123C2211yescharacteristic, complemented
76#17989122—21no—
77#17989122C2211yescharacteristic, complemented
78#17989120—21no—
79#17989120—21no—
80C4×#11924029C2211yescharacteristic, complemented
81#17989055C2211yescharacteristic
82C4×Q8×D73C2211yescharacteristic, complemented
83#17988980C2211yescharacteristic, complemented
84#17988979C2211yescharacteristic, complemented
85#17988978C2211yescharacteristic, complemented
86#17988976C2211yescharacteristic, complemented
87#17988974C2211yescharacteristic, complemented
88#17988973C2211yescharacteristic, complemented
89#17988973C2211yescharacteristic, complemented
90#17988972C2211yescharacteristic, complemented
91#17988971C2211yescharacteristic, complemented
92#17988969C2211yescharacteristic, complemented
93#17988968C2211yescharacteristic, complemented
94#17988961C2211yescharacteristic, complemented
95#17988958C2211yescharacteristic, complemented
96#17988958C2211yescharacteristic, complemented
97#17988953C2211yescharacteristic, complemented
98#17988950C2211yescharacteristic, complemented
99#17988950C2211yescharacteristic, complemented
100#17988948C2211yescharacteristic, complemented
101#17988947C2211yescharacteristic, complemented
102#17988946C2211yescharacteristic, complemented
103#17988945C2211yescharacteristic, complemented
104#17988944C2211yescharacteristic, complemented
105#17988943C2211yescharacteristic, complemented
106#17988940C2211yescharacteristic, complemented
107#17988934C2211yescharacteristic, complemented
108#17988933C2211yescharacteristic, complemented
109#17988932C2211yescharacteristic, complemented
110#17988932C2211yescharacteristic, complemented
111#17988810C2211yescharacteristic, complemented
112#17988809C2211yescharacteristic, complemented
113#17988809C2211yescharacteristic, complemented
114#17988806C2211yescharacteristic, complemented
115#17988803C2211yescharacteristic, complemented
116#17988799C2211yescharacteristic, complemented
117#17988796C2211yescharacteristic, complemented
118#17988795C2211yescharacteristic, complemented
119#17988795C2211yescharacteristic, complemented
120#17988791C2211yescharacteristic, complemented
121#17988788C2211yescharacteristic, complemented
122#17988787C2211yescharacteristic, complemented
123#17988787C2211yescharacteristic, complemented
124#17988786C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988785C2211yescharacteristic, complemented
128#17988785C2211yescharacteristic, complemented
129#17988785C2211yescharacteristic, complemented
130#17988785C2211yescharacteristic, complemented
131#17988785C2211yescharacteristic, complemented
132#17988785C2211yescharacteristic, complemented
133#17988784C2211yescharacteristic, complemented
134#17988783C2211yescharacteristic, complemented
135#17988781C2211yescharacteristic, complemented
136#17988781C2211yescharacteristic, complemented
137#17988781C2211yescharacteristic, complemented
138#17988779C2211yescharacteristic, complemented
139#17988752C2211yescharacteristic, complemented
140#17988751C2211yescharacteristic, complemented
141#17988750C2211yescharacteristic, complemented
142#17988749C2211yescharacteristic, complemented
143#17988748C2211yescharacteristic, complemented
144#17988748C2211yescharacteristic, complemented
145#17988747C2211yescharacteristic, complemented
146#17988747C2211yescharacteristic, complemented
147#17988746C2211yescharacteristic, complemented
148#17988746C2211yescharacteristic, complemented
149#17988740C2211yescharacteristic, complemented
150#17988739C2211yescharacteristic, complemented
151#17988739C2211yescharacteristic, complemented
152#17988738C2211yescharacteristic, complemented
153#17988737C2211yescharacteristic, complemented
154#17988737C2211yescharacteristic, complemented
155#17988736C2211yescharacteristic, complemented
156#17988736C2211yescharacteristic, complemented
157#17988736C2211yescharacteristic, complemented
158#17988736C2211yescharacteristic, complemented
159#17988735C2211yescharacteristic, complemented
160#17988734C2211yescharacteristic, complemented
161#17988733C2211yescharacteristic, complemented
162#17988732C2211yescharacteristic, complemented
163#17988723C2211yescharacteristic, complemented
164#17988722C2211yescharacteristic, complemented
165#17988722C2211yescharacteristic, complemented
166#17988721C2211yescharacteristic, complemented
167#17988648C2211yescharacteristic, complemented
168#17988647C2211yescharacteristic, complemented
169#17988647C2211yescharacteristic, complemented
170#17988642C2211yescharacteristic, complemented
171#17988641C2211yescharacteristic, complemented
172#17988638C2211yescharacteristic, complemented
173#17988637C2211yescharacteristic, complemented
174#17988609C2211yescharacteristic, complemented
175C4⋊C8×D73C2211yescharacteristic, complemented
176#17988590C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic, complemented
178#17988587C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic, complemented
180#17988582C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988544C2211yescharacteristic, complemented
187#17988541C2211yescharacteristic, complemented
188#541×C73C2211yescharacteristic, complemented
189#535×C73C2211yescharacteristic
190#497×C73C2211yescharacteristic, complemented
191#492×C73C2211yescharacteristic, complemented
192#490×C73C2211yescharacteristic, complemented
193#488×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#460×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#452×C73C2211yescharacteristic, complemented
200#450×C73C2211yescharacteristic, complemented
201#450×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205#14556636—42no—
206#14556636—42no—
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic
210C2×#11924028—21no—
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924027—21no—
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×Q8×D73C2311yescharacteristic
217C22×D292—21no—
218C22×D292C2311yescharacteristic
219C22×C22⋊D73—21no—
220C22×C22⋊D73—21no—
221C22×C22⋊D73—21no—
222C22×C22⋊D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73—21no—
229C2×D4×D73—21no—
230C2×D4×D73C2311yescharacteristic
231C2×D4×D73C2311yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234#14556623—42no—
235#14556620—42no—
236#14556618—42no—
237#14556618—42no—
238#14556614—42no—
239#14556612—42no—
240C2×Dic292C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924018C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924016C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252C2×#11924015C2311yescharacteristic
253C2×#11924015C2311yescharacteristic
254C2×#11924015C2311yescharacteristic
255C2×#11924015C2311yescharacteristic
256C2×#11924015C2311yescharacteristic
257C2×#11924015C2311yescharacteristic
258SD16×D73—42no—
259SD16×D73—42no—
260C2×D584C2311yescharacteristic
261C2×D584C2311yescharacteristic
262C2×D584C2311yescharacteristic
263C2×#11924013C2311yescharacteristic
264C2×#11924013C2311yescharacteristic
265C2×#11924013C2311yescharacteristic
266C2×#11924011C2311yescharacteristic
267C2×#11924011C2311yescharacteristic
268C2×C8×D73C2311yescharacteristic
269C2×C8×D73C2311yescharacteristic
270#14556591C2311yescharacteristic
271#14556590—21no—
272#14556590—21no—
273#14556590C2311yescharacteristic
274#14556589C2311yescharacteristic
275#14556589C2311yescharacteristic
276#14556588C2311yescharacteristic
277#14556588C2311yescharacteristic
278#14556587—21no—
279#14556587—21no—
280#14556587—21no—
281#14556587—21no—
282#14556587—21no—
283#14556587—21no—
284#14556587C2311yescharacteristic
285#14556587C2311yescharacteristic
286#14556587C2311yescharacteristic
287#14556587C2311yescharacteristic
288#14556587C2311yescharacteristic
289#14556586—21no—
290#14556586—21no—
291#14556586—21no—
292#14556586—21no—
293#14556585—21no—
294#14556585—21no—
295#14556583—21no—
296#14556582—21no—
297#14556582C2311yescharacteristic
298#14556581—21no—
299#14556581—21no—
300#14556581—21no—
301#14556580C2311yescharacteristic
302#14556580C2311yescharacteristic
303#14556579—21no—
304#14556579C2311yescharacteristic
305#14556579C2311yescharacteristic
306#14556579C2311yescharacteristic
307#14556578C2311yescharacteristic
308#14556577—21no—
309#14556577—21no—
310#14556576—21no—
311#14556576—21no—
312#14556576—21no—
313#14556576—21no—
314#14556576—21no—
315#14556575—21no—
316#14556573—21no—
317#14556573—21no—
318#14556571—21no—
319#14556571—21no—
320#14556571C2311yescharacteristic
321#14556570C2311yescharacteristic
322#14556569—21no—
323#14556569—21no—
324#14556569—21no—
325#14556569—21no—
326#14556569—21no—
327#14556569—21no—
328#14556568—21no—
329#14556567C2311yescharacteristic
330#14556567C2311yescharacteristic
331#14556566—21no—
332#14556566—21no—
333#14556566—21no—
334#14556566C2311yescharacteristic
335#14556565C2311yescharacteristic
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556564—21no—
340#14556564—21no—
341#14556564—21no—
342#14556564—21no—
343#14556564—21no—
344#14556564—21no—
345#14556564—21no—
346#14556563—21no—
347#14556563—21no—
348#14556563—21no—
349#14556563—21no—
350#14556563—21no—
351#14556563—21no—
352#14556561—21no—
353#14556561—21no—
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556559—21no—
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362Q8×Dic73C2311yescharacteristic
363Q8×Dic73C2311yescharacteristic
364C4×Dic146—21no—
365C4×Dic146C2311yescharacteristic
366#14556556—21no—
367#14556556—21no—
368#14556556—21no—
369#14556556D411yescharacteristic
370#14556556D411yescharacteristic
371#14556556C2311yescharacteristic
372C4×D292—21no—
373C4×D292C2311yescharacteristic
374#14556553—21no—
375#14556553—21no—
376#14556553D411yescharacteristic
377#14556553D411yescharacteristic
378#14556553C2311yescharacteristic
379C4×C22⋊D73—21no—
380C4×C22⋊D73—21no—
381#14556551—21no—
382#14556551—21no—
383#14556551—21no—
384#14556551—21no—
385#14556551—21no—
386#14556551D411yescharacteristic
387#14556551D411yescharacteristic
388#14556551D411yescharacteristic
389#14556551D411yescharacteristic
390#14556549—21no—
391#14556549—21no—
392#14556549—21no—
393#14556549—21no—
394#14556549C2311yescharacteristic
395#14556548C2311yescharacteristic
396#14556548C2311yescharacteristic
397#14556547—21no—
398C4⋊C4×D73—21no—
399C4⋊C4×D73C2311yescharacteristic
400C2×C4×Dic73C2311yescharacteristic
401C42×D73—21no—
402C42×D73—21no—
403C42×D73C2311yescharacteristic
404C42×D73C2311yescharacteristic
405C4⋊#10596831C2311yescharacteristic
406C4⋊#10596831C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
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
444C4×#10596831C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic
450C2×Q16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×SD16×C73C2311yescharacteristic
457C4⋊Q8×C73C2311yescharacteristic
458#127×C73C2311yescharacteristic
459#127×C73C2311yescharacteristic
460#126×C73—21no—
461#126×C73—21no—
462#125×C73—21no—
463#125×C73—21no—
464#125×C73C2311yescharacteristic
465#124×C73C2311yescharacteristic
466#124×C73C2311yescharacteristic
467C22⋊Q8×C73C2311yescharacteristic
468C22⋊Q8×C73C2311yescharacteristic
469#121×C73—21no—
470#121×C73—21no—
471#120×C73—21no—
472#120×C73—21no—
473C4×Q8×C73C2311yescharacteristic
474C4×Q8×C73C2311yescharacteristic
475#117×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477C4⋊C8×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488#97×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495#11924029—22no—
496#11924029—22no—
497#11924029—22no—
498#11924029—22no—
499#11924029—41no—
500#11924029—41no—
501#11924028—22no—
502#11924028—22no—
503#11924028—41no—
504#11924028—41no—
505#11924028—44no—
506#11924027—22no—
507#11924027—22no—
508#11924027—41no—
509#11924027—41no—
510#11924027—44no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146C2×D411yescharacteristic
515C2×Dic146C2411yescharacteristic
516C2×Dic146C2411yescharacteristic
517Q8×D73—22no—
518Q8×D73—22no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—41no—
529C2×D292—41no—
530C2×D292—44no—
531C2×D292C2×D411yescharacteristic
532C2×D292C2411yescharacteristic
533C2×D292C2411yescharacteristic
534C2×D292C2411yescharacteristic
535C2×D292C2411yescharacteristic
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—44no—
555C2×C22⋊D73—44no—
556C2×C22⋊D73—82no—
557C2×C22⋊D73—82no—
558C2×C22⋊D73C2×D411yescharacteristic
559C2×C22⋊D73C2×D411yescharacteristic
560D4×D73—22no—
561D4×D73—22no—
562D4×D73—22no—
563D4×D73—22no—
564D4×D73—41no—
565D4×D73—41no—
566D4×D73—41no—
567D4×D73—41no—
568D4×D73—44no—
569D4×D73—44no—
570D4×D73—44no—
571D4×D73—82no—
572D4×D73—82no—
573D4×D73—82no—
574D4×D73—82no—
575C22×Dic73—21no—
576C22×Dic73—21no—
577C22×Dic73C2×D411yescharacteristic
578C22×Dic73C2×D411yescharacteristic
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—21no—
585C2×C4×D73—21no—
586C2×C4×D73—21no—
587C2×C4×D73C2×D411yescharacteristic
588C2×C4×D73C2×D411yescharacteristic
589C2×C4×D73C2×D411yescharacteristic
590C2×C4×D73C2×D411yescharacteristic
591C2×C4×D73C2411yescharacteristic
592C2×C4×D73C2411yescharacteristic
593Dic292—41no—
594#11924018—41no—
595#11924018—41no—
596#11924018—41no—
597#11924017—41no—
598#11924017—41no—
599#11924017—41no—
600#11924017—41no—
601#11924016—41no—
602#11924016—41no—
603#11924016—41no—
604#11924015—41no—
605#11924015—41no—
606#11924015—41no—
607#11924015—41no—
608#11924015—41no—
609#11924015—41no—
610#11924015—41no—
611D584—41no—
612D584—41no—
613D584—41no—
614#11924013—41no—
615#11924013—41no—
616#11924013—41no—
617#11924011—22no—
618#11924011—22no—
619C2×#10596831C2411yescharacteristic
620C2×#10596831C2411yescharacteristic
621C2×#10596831C2411yescharacteristic
622C2×#10596831C2411yescharacteristic
623C8×D73—22no—
624C8×D73—22no—
625C4⋊Dic73—21no—
626C4⋊Dic73—21no—
627C4⋊Dic73—21no—
628C4⋊Dic73—21no—
629C4⋊Dic73—21no—
630C4⋊Dic73C2411yescharacteristic
631C4⋊Dic73C2411yescharacteristic
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007—21no—
640#11924007—21no—
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007C2×D411yescharacteristic
645#11924007C2×D411yescharacteristic
646#11924007C2×D411yescharacteristic
647#11924007C2×D411yescharacteristic
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005C2×D411yescharacteristic
670#11924005C2×D411yescharacteristic
671#11924005C2×D411yescharacteristic
672#11924005C2×D411yescharacteristic
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73—21no—
676C4×Dic73—21no—
677C4×Dic73—21no—
678C4×Dic73C2×D411yescharacteristic
679C4×Dic73C2×D411yescharacteristic
680C4×Dic73C2×D411yescharacteristic
681C4×Dic73C2×D411yescharacteristic
682C4×Dic73C2×D411yescharacteristic
683C4×Dic73C2×D411yescharacteristic
684C4×Dic73C2411yescharacteristic
685C4×Dic73C2411yescharacteristic
686C24×C73—21no—
687#41×C73—41no—
688#41×C73—41no—
689C2×Q8×C73C2411yescharacteristic
690C2×Q8×C73C2411yescharacteristic
691C2×Q8×C73C2411yescharacteristic
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—41no—
699C2×D4×C73—41no—
700C2×D4×C73C2411yescharacteristic
701C2×D4×C73C2411yescharacteristic
702C2×D4×C73C2411yescharacteristic
703C22×C4×C73—21no—
704C22×C4×C73C2411yescharacteristic
705Q16×C73—41no—
706Q16×C73—41no—
707SD16×C73—41no—
708SD16×C73—41no—
709SD16×C73—41no—
710SD16×C73—41no—
711SD16×C73—41no—
712SD16×C73—41no—
713C2×C8×C73C2411yescharacteristic
714C2×C8×C73C2411yescharacteristic
715C2×C8×C73C2411yescharacteristic
716C2×C8×C73C2411yescharacteristic
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73—21no—
725C4⋊C4×C73C2×D411yescharacteristic
726C4⋊C4×C73C2×D411yescharacteristic
727C4⋊C4×C73C2411yescharacteristic
728C4⋊C4×C73C2411yescharacteristic
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73C2×D411yescharacteristic
736C22⋊C4×C73C2×D411yescharacteristic
737C42×C73—21no—
738C42×C73—21no—
739C42×C73C2411yescharacteristic
740C42×C73C2411yescharacteristic
741C23×C73—21no—
742C23×C73—21no—
743C23×C73—21no—
744C23×C73—42no—
745C23×C73—81no—
746C23×C73—81no—
747C23×C73C22×D411yescharacteristic
748C22×D73—21no—
749C22×D73—21no—
750C22×D73—21no—
751C22×D73—21no—
752C22×D73—42no—
753C22×D73—42no—
754C22×D73—42no—
755C22×D73—42no—
756C22×D73—42no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73—81no—
762C22×D73—81no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73—81no—
766C22×D73—81no—
767C22×D73C22×D411yescharacteristic
768C22×D73C22×D411yescharacteristic
769Q8×C73—21no—
770Q8×C73—21no—
771Q8×C73—21no—
772Q8×C73—21no—
773Q8×C73—21no—
774Q8×C73—21no—
775D4×C73—21no—
776D4×C73—21no—
777D4×C73—21no—
778D4×C73—21no—
779D4×C73—21no—
780D4×C73—21no—
781D4×C73—42no—
782D4×C73—42no—
783D4×C73—81no—
784D4×C73—81no—
785D4×C73—81no—
786D4×C73—81no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—21no—
792C2×C4×C73—21no—
793C2×C4×C73—21no—
794C2×C4×C73—42no—
795C2×C4×C73C22×D411yescharacteristic
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C22×D411yescharacteristic
798C2×C4×C73C22×D411yescharacteristic
799C2×C4×C73C22×D411yescharacteristic
800C2×C4×C73C2511yescharacteristic
801C22⋊D73—22no—
802C22⋊D73—22no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—42no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—42no—
810C22⋊D73—42no—
811C22⋊D73—42no—
812C22⋊D73—42no—
813C22⋊D73—42no—
814C22⋊D73—42no—
815C22⋊D73—42no—
816C22⋊D73—81no—
817C22⋊D73—81no—
818C22⋊D73—81no—
819C22⋊D73—81no—
820C22⋊D73—81no—
821C2×Dic73—22no—
822C2×Dic73—21no—
823C2×Dic73—21no—
824C2×Dic73—21no—
825C2×Dic73—21no—
826C2×Dic73—41no—
827C2×Dic73—42no—
828C2×Dic73—42no—
829C2×Dic73C22×D411yescharacteristic
830C2×Dic73C22×D411yescharacteristic
831C2×Dic73C22×D411yescharacteristic
832C2×Dic73C22×D411yescharacteristic
833C2×Dic73C22×D411yescharacteristic
834C2×Dic73C22×D411yescharacteristic
835D292—22no—
836D292—21no—
837D292—21no—
838D292—21no—
839D292—21no—
840D292—21no—
841D292—21no—
842D292—21no—
843D292—21no—
844D292—42no—
845D292—42no—
846D292—42no—
847D292—42no—
848D292—81no—
849D292—81no—
850D292—81no—
851D292—81no—
852D292—81no—
853C4×D73—21no—
854C4×D73—21no—
855C4×D73—22no—
856C4×D73—22no—
857C4×D73—41no—
858C4×D73—41no—
859C4×D73—42no—
860C4×D73—42no—
861C4×D73—42no—
862C4×D73—42no—
863C4×D73—42no—
864C4×D73—42no—
865C4×D73—81no—
866C4×D73—81no—
867C4×D73H(5,𝔽2)12yes—
868C4×D73H(5,𝔽2)12yes—
869Dic146—22no—
870Dic146—21no—
871Dic146—21no—
872Dic146—21no—
873Dic146—21no—
874Dic146—42no—
875Dic146—81no—
876Dic146—81no—
877C8×C73—21no—
878C8×C73—21no—
879C8×C73—21no—
880C8×C73—21no—
881#10596831—21no—
882#10596831—21no—
883#10596831—21no—
884#10596831—21no—
885C22×C73—21no—
886C22×C73—21no—
887C22×C73—21no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—41no—
893C22×C73—41no—
894C22×C73—41no—
895C22×C73—41no—
896C22×C73—41no—
897C22×C73—162no—
898C22×C73C23×D411yescharacteristic
899C2×D73—21no—
900C2×D73—21no—
901C2×D73—21no—
902C2×D73—21no—
903C2×D73—21no—
904C2×D73—41no—
905C2×D73—41no—
906C2×D73—41no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—41no—
911C2×D73—41no—
912C2×D73—41no—
913C2×D73—41no—
914C2×D73—41no—
915C2×D73—41no—
916C2×D73—162no—
917C2×D73—162no—
918C2×D73—162no—
919C2×D73—162no—
920C2×D73—162no—
921C2×D73#53512yes—
922C4×C73—21no—
923C4×C73—21no—
924C4×C73—21no—
925C4×C73—21no—
926C4×C73—21no—
927C4×C73—41no—
928C4×C73—41no—
929C4×C73—41no—
930C4×C73—41no—
931C4×C73—41no—
932C4×C73C2×H(5,𝔽2)11yescharacteristic
933C4×C73C2×H(5,𝔽2)11yescharacteristic
934Dic73—21no—
935Dic73—21no—
936Dic73—21no—
937Dic73—21no—
938Dic73—41no—
939Dic73—41no—
940Dic73—41no—
941Dic73—41no—
942Dic73#53512yes—
943Dic73#57712yes—
944#60833—731nomaximal, Sylow
945C2×C73—41no—
946C2×C73—81no—
947C2×C73—81no—
948C2×C73—81no—
949C2×C73C2×#53511yescharacteristic
950C2×C73C2×#57711yescharacteristic
951C2×C73#358511yescharacteristic
952D73—22no—
953D73—41no—
954D73—81no—
955D73—81no—
956D73—81no—
957D73—81no—
958#3498—731no—
959#3461—731no—
960#3224—731no—
961#3224—731no—
962#3224—731no—
963#3224—731no—
964#3222—731no—
965#3222—731no—
966#3222—731no—
967#3222D7311yescharacteristic, complemented
968#3217—731no—
969#3217—731no—
970#3216—731no—
971#3216—731no—
972#3212—731no—
973#3212—731no—
974#3208—731no—
975#3208—731no—
976#3154—731no—
977#3154—731no—
978#3136—731no—
979#3136—731no—
980#3038—731no—
981#3037—731no—
982#3035—731no—
983C2×#460—731no—
984#3012—731no—
985#3012—731no—
986#3009—731no—
987#3009—731no—
988#2925—731no—
989C73#6083311yescharacteristic, complemented, Sylow
990C2×H(5,𝔽2)—731no—
991C2×H(5,𝔽2)—731no—
992C2×#137—731no—
993C2×#137—731no—
994C2×AGL(1,ℤ/8)—731no—
995C2×AGL(1,ℤ/8)—731no—
996C2×#135—731no—
997C2×#135—731no—
998C22×SD16—731no—
999C22×SD16—731no—
1000#550—1461no—
1001#550—1461no—
1002D42—1461no—
1003D42—1461no—
1004D42—1461no—
1005D42—1461no—
1006D42—1461no—
1007D42—1461no—
1008#544—731no—
1009#542—731no—
1010#542—731no—
1011#542—1461no—
1012#541—731no—
1013#541—1461no—
1014#541C2×D7311yescharacteristic, complemented
1015#539—1461no—
1016#539—1461no—
1017#537—731no—
1018#536—731no—
1019#536—731no—
1020#535—731no—
1021#535—731no—
1022#535—731no—
1023#535—731no—
1024#535—731no—
1025#535C2×D7311yescharacteristic
1026#533—731no—
1027#533—731no—
1028#533—1461no—
1029#532—731no—
1030#532—731no—
1031#532—731no—
1032C2×#127—731no—
1033C2×#127—731no—
1034C2×#127—731no—
1035#529—731no—
1036#529—731no—
1037#529—1461no—
1038#529—1461no—
1039#529—1461no—
1040C4×#41—731no—
1041C4×#41—731no—
1042C2×C4×Q8—731no—
1043#497—731no—
1044#497—731no—
1045#497—731no—
1046#497C2×D7311yescharacteristic, complemented
1047#496—731no—
1048#496—731no—
1049#496—731no—
1050#496—731no—
1051#495—731no—
1052#495—731no—
1053#495—731no—
1054#495—731no—
1055#492—731no—
1056#492—731no—
1057#492—731no—
1058#492C2×D7311yescharacteristic, complemented
1059#490—731no—
1060#490—731no—
1061#490—731no—
1062#490C2×D7311yescharacteristic, complemented
1063#489—731no—
1064#489—731no—
1065#489—731no—
1066#489—731no—
1067#488—731no—
1068#488—731no—
1069#488—731no—
1070#488C2×D7311yescharacteristic, complemented
1071#486—731no—
1072#486—731no—
1073#486—731no—
1074#486—731no—
1075#464—731no—
1076#464—731no—
1077#464—731no—
1078#464—731no—
1079#464C2×D7311yescharacteristic, complemented
1080#464C2×D7311yescharacteristic, complemented
1081#463—731no—
1082#463—731no—
1083#462—731no—
1084#462—731no—
1085#462—731no—
1086#461—731no—
1087#460—731no—
1088#460—731no—
1089#460—731no—
1090#460—731no—
1091#460—731no—
1092#460—731no—
1093#460—731no—
1094#460—731no—
1095#460—731no—
1096#460—731no—
1097#460—731no—
1098#460—731no—
1099#460—731no—
1100#460C2×D7311yescharacteristic, complemented
1101#460C2×D7311yescharacteristic, complemented
1102#459—731no—
1103#459—731no—
1104#459—731no—
1105#459—731no—
1106#459—731no—
1107#452—731no—
1108#452—731no—
1109#452—731no—
1110#452—731no—
1111#452—731no—
1112#452—731no—
1113#452—731no—
1114#452—731no—
1115#452—731no—
1116#452—731no—
1117#452C2×D7311yescharacteristic, complemented
1118#452C2×D7311yescharacteristic, complemented
1119#450—731no—
1120#450—731no—
1121#450—731no—
1122#450—731no—
1123#450—731no—
1124#450—731no—
1125#450—731no—
1126#450—731no—
1127#450—731no—
1128#450—731no—
1129#450C2×D7311yescharacteristic, complemented
1130#450C2×D7311yescharacteristic, complemented
1131#449—731no—
1132#449—731no—
1133#449—731no—
1134#449—731no—
1135#447—731no—
1136#447—731no—
1137#447—731no—
1138#447—731no—
1139#433—731no—
1140#433—731no—
1141#433—731no—
1142#433C2×D7311yescharacteristic, complemented
1143#432—731no—
1144#432—731no—
1145#431—731no—
1146#431—731no—
1147#423—731no—
1148C2×C4⋊C8—731no—
1149#418—731no—
1150#418—731no—
1151#417—731no—
1152#417—731no—
1153#416—731no—
1154#416—731no—
1155C2×#102—731no—
1156C2×#102—731no—
1157#408—731no—
1158#408—731no—
1159#405—731no—
1160#405—731no—
1161H(5,𝔽2)—2922no—
1162H(5,𝔽2)—2922no—
1163H(5,𝔽2)—2922no—
1164H(5,𝔽2)—2922no—
1165C2×#41—731no—
1166C2×#41—731no—
1167C2×#41—731no—
1168C2×#41—731no—
1169C2×#41—731no—
1170C2×#41—731no—
1171C2×#41—731no—
1172C2×#41—1461no—
1173C2×#41—1461no—
1174C2×#41C22×D7311yescharacteristic
1175C22×Q8—731no—
1176C22×D4—731no—
1177C22×D4—731no—
1178C22×D4—731no—
1179C22×D4—731no—
1180C22×D4—731no—
1181C22×D4—1461no—
1182C22×D4—1461no—
1183C22×D4—1461no—
1184C22×D4—1461no—
1185C22×D4—1461no—
1186C22×D4—1461no—
1187C22×D4—1461no—
1188C22×D4—1461no—
1189C22×D4—1461no—
1190C22×D4—1461no—
1191C22×D4—1461no—
1192C22×D4—1461no—
1193C22×D4C22×D7311yescharacteristic
1194#137—2922no—
1195#137—2922no—
1196AGL(1,ℤ/8)—2922no—
1197AGL(1,ℤ/8)—2922no—
1198#135—2922no—
1199#135—2922no—
1200C2×Q16—731no—
1201C2×Q16—731no—
1202C2×Q16—731no—
1203C2×Q16—731no—
1204C2×Q16C22×D7311yescharacteristic
1205C2×Q16C22×D7311yescharacteristic
1206C2×SD16—2922no—
1207C2×SD16—2922no—
1208C2×SD16—731no—
1209C2×SD16—731no—
1210C2×SD16—731no—
1211C2×SD16—731no—
1212C2×SD16—731no—
1213C2×SD16—731no—
1214C2×SD16—731no—
1215C2×SD16—731no—
1216C2×SD16—731no—
1217C2×SD16—731no—
1218C2×SD16—731no—
1219C2×SD16—731no—
1220C2×SD16—731no—
1221C2×SD16—731no—
1222C2×SD16C22×D7311yescharacteristic
1223C2×SD16C22×D7311yescharacteristic
1224C2×SD16C22×D7311yescharacteristic
1225C2×SD16C22×D7311yescharacteristic
1226C2×SD16C22×D7311yescharacteristic
1227C2×SD16C22×D7311yescharacteristic
1228C2×D8—731no—
1229C2×D8—731no—
1230C2×D8—731no—
1231C2×D8—731no—
1232C2×D8—731no—
1233C2×D8—731no—
1234C2×M16—731no—
1235C2×M16—731no—
1236C22×C8—731no—
1237C22×C8—731no—
1238C4⋊Q8—731no—
1239C4⋊Q8—731no—
1240C4⋊Q8—731no—
1241C4⋊Q8—731no—
1242C4⋊Q8—1461no—
1243C4⋊Q8—1461no—
1244C4⋊Q8C22×D7311yescharacteristic
1245#127—731no—
1246#127—731no—
1247#127—731no—
1248#127—731no—
1249#127—731no—
1250#127—731no—
1251#127—731no—
1252#127—1461no—
1253#127—1461no—
1254#127—1461no—
1255#127—1461no—
1256#127—1461no—
1257#127—1461no—
1258#127C22×D7311yescharacteristic
1259#127C22×D7311yescharacteristic
1260#126—21no—
1261#126—21no—
1262#126—1461no—
1263#126—1461no—
1264#126—1461no—
1265#126—1461no—
1266#126—1461no—
1267#126—1461no—
1268#125—21no—
1269#125—21no—
1270#125—731no—
1271#125—1461no—
1272#125—1461no—
1273#125—1461no—
1274#125—1461no—
1275#125—1461no—
1276#125C22×D7311yescharacteristic
1277#124—731no—
1278#124—731no—
1279#124—731no—
1280#124—731no—
1281#124—731no—
1282#124—731no—
1283#124—1461no—
1284#124—1461no—
1285#124—1461no—
1286#124C22×D7311yescharacteristic
1287#124C22×D7311yescharacteristic
1288#123—1461no—
1289#123—1461no—
1290#123—1461no—
1291#123—1461no—
1292#123—1461no—
1293#123—1461no—
1294#123—1461no—
1295#123—1461no—
1296C22⋊Q8—731no—
1297C22⋊Q8—731no—
1298C22⋊Q8—731no—
1299C22⋊Q8—731no—
1300C22⋊Q8—1461no—
1301C22⋊Q8—1461no—
1302C22⋊Q8—1461no—
1303C22⋊Q8—1461no—
1304C22⋊Q8—1461no—
1305C22⋊Q8—1461no—
1306C22⋊Q8—1461no—
1307C22⋊Q8—1461no—
1308C22⋊Q8—1461no—
1309C22⋊Q8C22×D7311yescharacteristic
1310C22⋊Q8C22×D7311yescharacteristic
1311#121—21no—
1312#121—21no—
1313#121—731no—
1314#121—731no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#120—21no—
1335#120—21no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340#120—1461no—
1341#120—1461no—
1342#120—1461no—
1343#120—1461no—
1344#120—1461no—
1345#120—1461no—
1346C4×Q8—731no—
1347C4×Q8—731no—
1348C4×Q8—731no—
1349C4×Q8—731no—
1350C4×Q8—731no—
1351C4×Q8—731no—
1352C4×Q8—1461no—
1353C4×Q8—1461no—
1354C4×Q8—1461no—
1355C4×Q8—1461no—
1356C4×Q8C22×D7311yescharacteristic
1357C4×Q8C22×D7311yescharacteristic
1358C4×D4—731no—
1359C4×D4—731no—
1360C4×D4—731no—
1361C4×D4—731no—
1362C4×D4—731no—
1363C4×D4—731no—
1364C4×D4—731no—
1365C4×D4—731no—
1366C4×D4—1461no—
1367C4×D4—1461no—
1368C4×D4—1461no—
1369C4×D4—1461no—
1370C4×D4—1461no—
1371C4×D4—1461no—
1372C4×D4—1461no—
1373C4×D4—1461no—
1374C4×D4—1461no—
1375C4×D4—1461no—
1376#117—731no—
1377#117—731no—
1378#117—731no—
1379#117—1461no—
1380#117—1461no—
1381#117—1461no—
1382#117—1461no—
1383#117—1461no—
1384#117C22×D7311yescharacteristic
1385C2×C4⋊C4—731no—
1386C2×C4⋊C4—1461no—
1387C2×C42—731no—
1388C2×C42—731no—
1389C2×C42—731no—
1390C2×C42—1461no—
1391C2×C42—1461no—
1392C4⋊C8—731no—
1393C4⋊C8—731no—
1394C4⋊C8—731no—
1395C4⋊C8—731no—
1396C4⋊C8—731no—
1397C4⋊C8—731no—
1398C4⋊C8C22×D7311yescharacteristic
1399C4⋊C8C22×D7311yescharacteristic
1400#103—731no—
1401#103—731no—
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103—731no—
1406#103C22×D7311yescharacteristic
1407#103C22×D7311yescharacteristic
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102—731no—
1422#102—731no—
1423#102—731no—
1424#102—731no—
1425#102—731no—
1426#102C22×D7311yescharacteristic
1427#102C22×D7311yescharacteristic
1428#102C22×D7311yescharacteristic
1429#102C22×D7311yescharacteristic
1430#102C22×D7311yescharacteristic
1431#102C22×D7311yescharacteristic
1432C22⋊C8—731no—
1433C22⋊C8—731no—
1434C22⋊C8—731no—
1435C22⋊C8—731no—
1436C22⋊C8—731no—
1437C22⋊C8—731no—
1438C22⋊C8C22×D7311yescharacteristic
1439C22⋊C8C22×D7311yescharacteristic
1440#97—731no—
1441#97—731no—
1442#97—731no—
1443#97C22×D7311yescharacteristic
1444C4×C8—731no—
1445C4×C8—731no—
1446C4×C8—731no—
1447C4×C8C22×D7311yescharacteristic
1448C24—21no—
1449C24—1461no—
1450C24—1461no—
1451C24—1461no—
1452C24—1461no—
1453C24—1461no—
1454#41—41no—
1455#41—41no—
1456#41—2921no—
1457#41—2921no—
1458#41—2924no—
1459#41—2924no—
1460#41—2921no—
1461#41—2921no—
1462#41—2921no—
1463#41—2921no—
1464#41—1462no—
1465#41—1462no—
1466#41—1462no—
1467#41—1462no—
1468#41—1462no—
1469#41—1462no—
1470#41—1462no—
1471#41—1462no—
1472C2×Q8—731no—
1473C2×Q8—731no—
1474C2×Q8—731no—
1475C2×Q8—1461no—
1476C2×Q8—1461no—
1477C2×Q8—1462no—
1478C2×Q8—1462no—
1479C2×Q8—1461no—
1480C2×Q8C23×D7311yescharacteristic
1481C2×Q8C23×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—41no—
1490C2×D4—41no—
1491C2×D4—2921no—
1492C2×D4—2921no—
1493C2×D4—2924no—
1494C2×D4—2924no—
1495C2×D4—2924no—
1496C2×D4—2924no—
1497C2×D4—2924no—
1498C2×D4—2924no—
1499C2×D4—2921no—
1500C2×D4—2921no—
1501C2×D4—2921no—
1502C2×D4—2921no—
1503C2×D4—5842no—
1504C2×D4—5842no—
1505C2×D4—5842no—
1506C2×D4—5842no—
1507C2×D4—5842no—
1508C2×D4—5842no—
1509C2×D4—731no—
1510C2×D4—731no—
1511C2×D4—731no—
1512C2×D4—731no—
1513C2×D4—731no—
1514C2×D4—731no—
1515C2×D4—731no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1462no—
1521C2×D4—1462no—
1522C2×D4—1462no—
1523C2×D4—1462no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1461no—
1532C2×D4—1461no—
1533C2×D4—1461no—
1534C2×D4—1461no—
1535C2×D4—1461no—
1536C2×D4—1461no—
1537C2×D4—1461no—
1538C2×D4—1461no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1461no—
1546C2×D4—1461no—
1547C2×D4C23×D7311yescharacteristic
1548C2×D4C23×D7311yescharacteristic
1549C2×D4C23×D7311yescharacteristic
1550C22×C4—21no—
1551C22×C4—731no—
1552C22×C4—731no—
1553C22×C4—731no—
1554C22×C4—731no—
1555C22×C4—731no—
1556C22×C4—731no—
1557C22×C4—731no—
1558C22×C4—731no—
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×C4C23×D7311yescharacteristic
1570Q16—41no—
1571Q16—41no—
1572Q16—2921no—
1573Q16—2921no—
1574Q16—2921no—
1575Q16—2921no—
1576SD16—41no—
1577SD16—41no—
1578SD16—41no—
1579SD16—41no—
1580SD16—41no—
1581SD16—41no—
1582SD16—2921no—
1583SD16—2921no—
1584SD16—2921no—
1585SD16—2921no—
1586SD16—2921no—
1587SD16—2921no—
1588SD16—2921no—
1589SD16—2921no—
1590SD16—2921no—
1591SD16—2921no—
1592SD16—2921no—
1593SD16—2921no—
1594SD16—2921no—
1595SD16—2921no—
1596D8—2921no—
1597D8—2921no—
1598D8—2921no—
1599D8—2921no—
1600D8—2921no—
1601D8—2921no—
1602M16—1462no—
1603M16—1462no—
1604C2×C8—731no—
1605C2×C8—731no—
1606C2×C8—731no—
1607C2×C8—731no—
1608C2×C8—1462no—
1609C2×C8—1462no—
1610C2×C8C23×D7311yescharacteristic
1611C2×C8C23×D7311yescharacteristic
1612C2×C8C23×D7311yescharacteristic
1613C2×C8C23×D7311yescharacteristic
1614C4⋊C4—21no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—731no—
1623C4⋊C4—731no—
1624C4⋊C4—731no—
1625C4⋊C4—731no—
1626C4⋊C4—731no—
1627C4⋊C4—731no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4—1461no—
1636C4⋊C4—1461no—
1637C4⋊C4—1461no—
1638C4⋊C4—1461no—
1639C4⋊C4—1461no—
1640C4⋊C4—1461no—
1641C4⋊C4—1461no—
1642C4⋊C4—1461no—
1643C4⋊C4—1461no—
1644C4⋊C4—1461no—
1645C4⋊C4D4×D7311yescharacteristic
1646C4⋊C4D4×D7311yescharacteristic
1647C4⋊C4C23×D7311yescharacteristic
1648C4⋊C4C23×D7311yescharacteristic
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—731no—
1656C22⋊C4—731no—
1657C22⋊C4—731no—
1658C22⋊C4—731no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4—1461no—
1679C22⋊C4—1461no—
1680C22⋊C4D4×D7311yescharacteristic
1681C22⋊C4D4×D7311yescharacteristic
1682C42—21no—
1683C42—21no—
1684C42—731no—
1685C42—731no—
1686C42—731no—
1687C42—731no—
1688C42—731no—
1689C42—731no—
1690C42—731no—
1691C42—731no—
1692C42—1461no—
1693C42—1461no—
1694C42—1461no—
1695C42—1461no—
1696C42—1461no—
1697C42C23×D7311yescharacteristic
1698C42C23×D7311yescharacteristic
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—42no—
1703C23—81no—
1704C23—81no—
1705C23—2922no—
1706C23—2922no—
1707C23—2922no—
1708C23—2922no—
1709C23—2922no—
1710C23—5841no—
1711C23—5841no—
1712C23—5841no—
1713C23—5841no—
1714C23—5841no—
1715C23—5841no—
1716C23—5841no—
1717C23—5841no—
1718C23—5841no—
1719C23—5841no—
1720C23—731no—
1721C23—731no—
1722C23—1461no—
1723C23—1461no—
1724C23—1461no—
1725C23—1461no—
1726C23C2×D4×D7311yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—21no—
1732Q8—21no—
1733Q8—2922no—
1734Q8—5841no—
1735Q8—5841no—
1736Q8—1462no—
1737Q8—1461no—
1738Q8—1461no—
1739Q8—1461no—
1740Q8—1461no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—42no—
1748D4—42no—
1749D4—81no—
1750D4—81no—
1751D4—81no—
1752D4—81no—
1753D4—2922no—
1754D4—2922no—
1755D4—2922no—
1756D4—2922no—
1757D4—2922no—
1758D4—2922no—
1759D4—2922no—
1760D4—2922no—
1761D4—2922no—
1762D4—2922no—
1763D4—2922no—
1764D4—2922no—
1765D4—2922no—
1766D4—2922no—
1767D4—2922no—
1768D4—2922no—
1769D4—2922no—
1770D4—5841no—
1771D4—5841no—
1772D4—5841no—
1773D4—5841no—
1774D4—5841no—
1775D4—5841no—
1776D4—5841no—
1777D4—5841no—
1778D4—5841no—
1779D4—5841no—
1780D4—1462no—
1781D4—1462no—
1782D4—1462no—
1783D4—1461no—
1784D4—1461no—
1785D4—1461no—
1786D4—1461no—
1787D4—1461no—
1788D4—1461no—
1789D4—1461no—
1790D4—1461no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—42no—
1799C2×C4—2922no—
1800C2×C4—2921no—
1801C2×C4—2921no—
1802C2×C4—2922no—
1803C2×C4—2922no—
1804C2×C4—2922no—
1805C2×C4—2922no—
1806C2×C4—2922no—
1807C2×C4—2922no—
1808C2×C4—2922no—
1809C2×C4—2921no—
1810C2×C4—5841no—
1811C2×C4—5841no—
1812C2×C4—731no—
1813C2×C4—731no—
1814C2×C4—732no—
1815C2×C4—732no—
1816C2×C4—731no—
1817C2×C4—731no—
1818C2×C4—731no—
1819C2×C4—731no—
1820C2×C4—1462no—
1821C2×C4—1462no—
1822C2×C4—1461no—
1823C2×C4—1461no—
1824C2×C4—1461no—
1825C2×C4—1461no—
1826C2×C4—1462no—
1827C2×C4—1461no—
1828C2×C4—1461no—
1829C2×C4C2×D4×D7311yescharacteristic
1830C2×C4C2×D4×D7311yescharacteristic
1831C2×C4C2×D4×D7311yescharacteristic
1832C2×C4C2×D4×D7311yescharacteristic
1833C2×C4C2×D4×D7311yescharacteristic
1834C2×C4C24×D7311yescharacteristic
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—1461no—
1840C8—1461no—
1841C8—1461no—
1842C8—1461no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—162no—
1856C22—2921no—
1857C22—2921no—
1858C22—2921no—
1859C22—2921no—
1860C22—2921no—
1861C22—2921no—
1862C22—2921no—
1863C22—2921no—
1864C22—2921no—
1865C22—2921no—
1866C22—2921no—
1867C22—2921no—
1868C22—732no—
1869C22—11682no—
1870C22—11682no—
1871C22—11682no—
1872C22—11682no—
1873C22—11682no—
1874C22—1461no—
1875C22—1461no—
1876C22—1461no—
1877C22—1461no—
1878C22—1461no—
1879C22C22×D4×D7311yescharacteristic
1880C4—21no—
1881C4—21no—
1882C4—21no—
1883C4—21no—
1884C4—21no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—2921no—
1891C4—2921no—
1892C4—2921no—
1893C4—2921no—
1894C4—732no—
1895C4—732no—
1896C4—1461no—
1897C4—1461no—
1898C4—1461no—
1899C4—1461no—
1900C4H(5,𝔽2)×D7311yescharacteristic
1901C4H(5,𝔽2)×D7311yescharacteristic
1902C2—41no—
1903C2—81no—
1904C2—81no—
1905C2—81no—
1906C2—2921no—
1907C2—5841no—
1908C2—5841no—
1909C2—5841no—
1910C2—5841no—
1911C2—1462no—
1912C2#535×D7311yescharacteristic
1913C2#577×D7311yescharacteristic
1914C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3222C2
socleC22×C73C23×D4
hypercenter#3222D73
hypocenterC73#60833
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3222

Complements

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

NH ≅ G/Ntype
1. #22623706C2semidirect
2. #22623363C2semidirect
3. #22621032C2semidirect
4. #22621030C2semidirect
5. #22621027C2semidirect
6. #22621025C2semidirect
7. #22621002C2semidirect
8. #22621000C2semidirect
9. #22620997C2semidirect
10. #22620952C2semidirect
11. #22620950C2semidirect
12. #22620939C2semidirect
13. #22620937C2semidirect
14. #22620910C2semidirect
15. #22620908C2semidirect
16. #22620870C2semidirect
17. #22620868C2semidirect
18. #22620406C2semidirect
19. #22620400C2semidirect
20. #22620286C2semidirect
21. #22620284C2semidirect
22. #22619408C2semidirect
23. #22619401C2semidirect
24. #22619385C2semidirect
25. #460×D73C2semidirect
26. #22619239C2semidirect
27. #22619236C2semidirect
28. #22619205C2semidirect
29. #22619203C2semidirect
30. #22618594C2semidirect
31. C73×#3222C2semidirect
34. C2×#14556623C22semidirect
35. C2×#14556620C22semidirect
36. C2×#14556618C22semidirect
37. C2×#14556618C22semidirect
38. C2×#14556614C22semidirect
39. C2×#14556612C22semidirect
40. C2×SD16×D73C22semidirect
41. C2×SD16×D73C22semidirect
50. #17989217C22semidirect
51. #17989209C22semidirect
52. #17989208C22semidirect
55. #17989195C22semidirect
59. #17989162C22semidirect
67. #17989142C22semidirect
68. #17989139C22semidirect
75. #17989123C22semidirect
77. #17989122C22semidirect
80. C4×#11924029C22semidirect
82. C4×Q8×D73C22semidirect
83. #17988980C22semidirect
84. #17988979C22semidirect
85. #17988978C22semidirect
86. #17988976C22semidirect
87. #17988974C22semidirect
88. #17988973C22semidirect
89. #17988973C22semidirect
90. #17988972C22semidirect
91. #17988971C22semidirect
92. #17988969C22semidirect
93. #17988968C22semidirect
94. #17988961C22semidirect
95. #17988958C22semidirect
96. #17988958C22semidirect
97. #17988953C22semidirect
98. #17988950C22semidirect
99. #17988950C22semidirect
100. #17988948C22semidirect
101. #17988947C22semidirect
102. #17988946C22semidirect
103. #17988945C22semidirect
104. #17988944C22semidirect
105. #17988943C22semidirect
106. #17988940C22semidirect
107. #17988934C22semidirect
108. #17988933C22semidirect
109. #17988932C22semidirect
110. #17988932C22semidirect
111. #17988810C22semidirect
112. #17988809C22semidirect
113. #17988809C22semidirect
114. #17988806C22semidirect
115. #17988803C22semidirect
116. #17988799C22semidirect
117. #17988796C22semidirect
118. #17988795C22semidirect
119. #17988795C22semidirect
120. #17988791C22semidirect
121. #17988788C22semidirect
122. #17988787C22semidirect
123. #17988787C22semidirect
124. #17988786C22semidirect
125. #17988786C22semidirect
126. #17988786C22semidirect
127. #17988785C22semidirect
128. #17988785C22semidirect
129. #17988785C22semidirect
130. #17988785C22semidirect
131. #17988785C22semidirect
132. #17988785C22semidirect
133. #17988784C22semidirect
134. #17988783C22semidirect
135. #17988781C22semidirect
136. #17988781C22semidirect
137. #17988781C22semidirect
138. #17988779C22semidirect
139. #17988752C22semidirect
140. #17988751C22semidirect
141. #17988750C22semidirect
142. #17988749C22semidirect
143. #17988748C22semidirect
144. #17988748C22semidirect
145. #17988747C22semidirect
146. #17988747C22semidirect
147. #17988746C22semidirect
148. #17988746C22semidirect
149. #17988740C22semidirect
150. #17988739C22semidirect
151. #17988739C22semidirect
152. #17988738C22semidirect
153. #17988737C22semidirect
154. #17988737C22semidirect
155. #17988736C22semidirect
156. #17988736C22semidirect
157. #17988736C22semidirect
158. #17988736C22semidirect
159. #17988735C22semidirect
160. #17988734C22semidirect
161. #17988733C22semidirect
162. #17988732C22semidirect
163. #17988723C22semidirect
164. #17988722C22semidirect
165. #17988722C22semidirect
166. #17988721C22semidirect
167. #17988648C22semidirect
168. #17988647C22semidirect
169. #17988647C22semidirect
170. #17988642C22semidirect
171. #17988641C22semidirect
172. #17988638C22semidirect
173. #17988637C22semidirect
174. #17988609C22semidirect
175. C4⋊C8×D73C22semidirect
176. #17988590C22semidirect
177. #17988590C22semidirect
178. #17988587C22semidirect
179. #17988585C22semidirect
180. #17988582C22semidirect
181. #17988580C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
186. #17988544C22semidirect
187. #17988541C22semidirect
188. #541×C73C22semidirect
190. #497×C73C22semidirect
191. #492×C73C22semidirect
192. #490×C73C22semidirect
193. #488×C73C22semidirect
194. #464×C73C22semidirect
195. #464×C73C22semidirect
196. #460×C73C22semidirect
197. #460×C73C22semidirect
198. #452×C73C22semidirect
199. #452×C73C22semidirect
200. #450×C73C22semidirect
201. #450×C73C22semidirect
202. #433×C73C22semidirect
967. #3222D73semidirect
989. C73#60833semidirect
1014. #541C2×D73semidirect
1046. #497C2×D73semidirect
1058. #492C2×D73semidirect
1062. #490C2×D73semidirect
1070. #488C2×D73semidirect
1079. #464C2×D73semidirect
1080. #464C2×D73semidirect
1100. #460C2×D73semidirect
1101. #460C2×D73semidirect
1117. #452C2×D73semidirect
1118. #452C2×D73semidirect
1129. #450C2×D73semidirect
1130. #450C2×D73semidirect
1142. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237062
#226233632
#226210322
#226210302
#226210272
#226210252
#226210022
#226210002
#226209972
#226209522
#226209502
#226209392
#226209372
#226209102
#226209082
#226208702
#226208682
#226204062
#226204002
#226202862
#226202842
#226194082
#226194012
#226193852
#460×D732
#226192392
#226192362
#226192052
#226192032
#226185942
C73×#32222
#6083373