Finite Group Databasebeta

← #33963372

Subgroups — #33963372

Order 18688.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623647C211yesmaximal, characteristic, complemented
2#22623561C211yesmaximal, characteristic, complemented
3#22622175C211yesmaximal, characteristic, complemented
4#22622168C211yesmaximal, characteristic, complemented
5#22622163C211yesmaximal, characteristic, complemented
6#22622158C211yesmaximal, characteristic, complemented
7#22622148C211yesmaximal, characteristic, complemented
8#22622146C211yesmaximal, characteristic, complemented
9#22622138C211yesmaximal, characteristic, complemented
10#22622094C211yesmaximal, characteristic, complemented
11#22622091C211yesmaximal, characteristic, complemented
12#22622066C211yesmaximal, characteristic, complemented
13#22622065C211yesmaximal, characteristic, complemented
14#22621970C211yesmaximal, characteristic, complemented
15#22621967C211yesmaximal, characteristic, complemented
16#22621950C211yesmaximal, characteristic, complemented
17#22621949C211yesmaximal, characteristic, complemented
18#22620284C211yesmaximal, characteristic, complemented
19#22619882C211yesmaximal, characteristic, complemented
20#22619863C211yesmaximal, characteristic, complemented
21#22619759C211yesmaximal, characteristic, complemented
22#22619608C211yesmaximal, characteristic, complemented
23#22619535C211yesmaximal, characteristic, complemented
24#22619471C211yesmaximal, characteristic, complemented
25#22619233C211yesmaximal, characteristic, complemented
26#22619155C211yesmaximal, characteristic, complemented
27#22618756C211yesmaximal, characteristic, complemented
28#22618631C211yesmaximal, characteristic, complemented
29#22618455C211yesmaximal, characteristic, complemented
30#418×D73C211yesmaximal, characteristic, complemented
31C73×#3322C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C2×#14556615C2211yescharacteristic
35C2×#14556615C2211yescharacteristic, complemented
36C2×#14556612C2211yescharacteristic, complemented
37C2×#14556599C2211yescharacteristic, complemented
38C2×M16×D73C2211yescharacteristic, complemented
39#17989307C2211yescharacteristic, complemented
40#17989305C2211yescharacteristic, complemented
41#17989304—21no—
42#17989302C2211yescharacteristic, complemented
43#17989301—21no—
44#17989301C2211yescharacteristic, complemented
45#17989286—21no—
46#17989284C2211yescharacteristic, complemented
47#17989275C2211yescharacteristic, complemented
48#17989274—21no—
49#17989272C2211yescharacteristic, complemented
50#17989230C2211yescharacteristic
51#17989229—21no—
52#17989228C2211yescharacteristic
53#17989227—21no—
54#17989225C2211yescharacteristic
55D4×D292C2211yescharacteristic
56D4×D292C2211yescharacteristic
57#17989221—21no—
58#17989221C2211yescharacteristic
59D4×C22⋊D73C2211yescharacteristic
60#17989219—21no—
61#17989217C2211yescharacteristic, complemented
62#17989173—21no—
63#17989169—21no—
64#17989166C2211yescharacteristic, complemented
65#17989155C2211yescharacteristic
66#17989153C2211yescharacteristic
67#17989148—21no—
68#17989145—21no—
69#17989120—21no—
70#17989119—21no—
71#17989100C2211yescharacteristic
72#17989097C2211yescharacteristic, complemented
73#17989096C2211yescharacteristic
74C2×#14556561—21no—
75#120×D73—21no—
76#17989068C2211yescharacteristic, complemented
77#17989066C2211yescharacteristic, complemented
78#17989059C2211yescharacteristic
79#117×D73C2211yescharacteristic, complemented
80#17988953C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic, complemented
82#17988948C2211yescharacteristic, complemented
83#17988946C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988934C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988914C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988909C2211yescharacteristic, complemented
97#17988908C2211yescharacteristic, complemented
98#17988905C2211yescharacteristic, complemented
99#17988904C2211yescharacteristic, complemented
100#17988902C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic, complemented
104#17988877C2211yescharacteristic, complemented
105#17988876C2211yescharacteristic, complemented
106#17988868C2211yescharacteristic, complemented
107#17988865C2211yescharacteristic, complemented
108#17988844C2211yescharacteristic, complemented
109#17988843C2211yescharacteristic, complemented
110#17988839C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988838C2211yescharacteristic, complemented
113#17988834C2211yescharacteristic, complemented
114#17988833C2211yescharacteristic, complemented
115#17988833C2211yescharacteristic, complemented
116#17988832C2211yescharacteristic, complemented
117#17988830C2211yescharacteristic, complemented
118#17988821C2211yescharacteristic, complemented
119#17988820C2211yescharacteristic, complemented
120#17988817C2211yescharacteristic, complemented
121#17988814C2211yescharacteristic, complemented
122#17988812C2211yescharacteristic, complemented
123#17988806C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988788C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988782C2211yescharacteristic, complemented
128#17988780C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988749C2211yescharacteristic, complemented
131#17988740C2211yescharacteristic, complemented
132#17988740C2211yescharacteristic, complemented
133#17988739C2211yescharacteristic, complemented
134#17988739C2211yescharacteristic, complemented
135#17988739C2211yescharacteristic, complemented
136#17988738C2211yescharacteristic, complemented
137#17988731C2211yescharacteristic, complemented
138#17988720C2211yescharacteristic, complemented
139#17988720C2211yescharacteristic, complemented
140#17988719C2211yescharacteristic, complemented
141#17988719C2211yescharacteristic, complemented
142#17988719C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic, complemented
144#17988697C2211yescharacteristic, complemented
145#17988687C2211yescharacteristic, complemented
146#17988686C2211yescharacteristic, complemented
147#17988678C2211yescharacteristic, complemented
148C4×#11924017C2211yescharacteristic, complemented
149#17988667C2211yescharacteristic, complemented
150#17988666C2211yescharacteristic, complemented
151#17988663C2211yescharacteristic, complemented
152#17988663C2211yescharacteristic, complemented
153#17988661C2211yescharacteristic, complemented
154#17988659C2211yescharacteristic, complemented
155#17988657C2211yescharacteristic, complemented
156#17988655C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic, complemented
158#17988626C2211yescharacteristic, complemented
159#17988624C2211yescharacteristic, complemented
160#17988612C2211yescharacteristic, complemented
161#17988593C2211yescharacteristic, complemented
162#17988593C2211yescharacteristic, complemented
163#17988592C2211yescharacteristic, complemented
164#17988591C2211yescharacteristic, complemented
165#17988590C2211yescharacteristic
166#17988590C2211yescharacteristic, complemented
167#17988590C2211yescharacteristic, complemented
168#17988590C2211yescharacteristic, complemented
169#17988590C2211yescharacteristic, complemented
170#17988590C2211yescharacteristic, complemented
171#17988590C2211yescharacteristic, complemented
172#17988587C2211yescharacteristic, complemented
173#17988587C2211yescharacteristic, complemented
174#17988587C2211yescharacteristic, complemented
175#17988583C2211yescharacteristic, complemented
176#17988582C2211yescharacteristic, complemented
177#17988582C2211yescharacteristic, complemented
178#17988580C2211yescharacteristic, complemented
179C2×#14556511C2211yescharacteristic, complemented
180#102×D73C2211yescharacteristic
181#102×D73C2211yescharacteristic
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187#17988541C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199C4×D8×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202#417×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204#14556637—24no—
205#14556637—42no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028C2311yescharacteristic
210C2×#11924027C2311yescharacteristic
211C22×D292—21no—
212C22×D292—21no—
213C22×D292C2311yescharacteristic
214C22×D292C2311yescharacteristic
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C2×D4×D73—24no—
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—42no—
225C2×D4×D73C2311yescharacteristic
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C22×C4×D73C2311yescharacteristic
231#14556615—24no—
232#14556615—42no—
233#14556612—42no—
234C2×#11924018C2311yescharacteristic, complemented
235C2×#11924017C2311yescharacteristic
236C2×#11924017C2311yescharacteristic
237C2×#11924017C2311yescharacteristic, complemented
238C2×#11924016C2311yescharacteristic
239C2×#11924016C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic, complemented
243#14556599—42no—
244C2×#11924012C2311yescharacteristic
245C2×#11924011C2311yescharacteristic
246C2×#11924011C2311yescharacteristic
247C2×#11924011C2311yescharacteristic
248C2×#11924011C2311yescharacteristic
249C2×#11924011C2311yescharacteristic, complemented
250M16×D73—42no—
251C22×#10596831C2311yescharacteristic, complemented
252C2×C8×D73C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254C2×C8×D73C2311yescharacteristic, complemented
255#14556591C2311yescharacteristic, complemented
256#14556590—21no—
257#14556590C2311yescharacteristic, complemented
258#14556588C2311yescharacteristic
259#14556587—21no—
260#14556587C2311yescharacteristic
261#14556586—21no—
262#14556586—21no—
263#14556585—21no—
264#14556584—21no—
265#14556584—21no—
266#14556584—21no—
267#14556584—21no—
268#14556582—21no—
269#14556582C2311yescharacteristic, complemented
270#14556581—21no—
271#14556581—21no—
272#14556580C2311yescharacteristic
273#14556578—21no—
274#14556578—21no—
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576D411yescharacteristic
284#14556574—21no—
285#14556574—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573D411yescharacteristic
289#14556572—21no—
290#14556571—21no—
291#14556571C2311yescharacteristic
292#14556571C2311yescharacteristic, complemented
293#14556570C2311yescharacteristic
294#14556570C2311yescharacteristic, complemented
295#14556569—21no—
296#14556569D411yescharacteristic
297#14556568—21no—
298#14556568D411yescharacteristic
299#14556567C2311yescharacteristic
300#14556566—21no—
301#14556566—21no—
302#14556566C2311yescharacteristic
303#14556566C2311yescharacteristic
304#14556565—21no—
305#14556565—21no—
306#14556565C2311yescharacteristic
307#14556565C2311yescharacteristic
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564D411yescharacteristic
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563D411yescharacteristic
319#14556562—21no—
320#14556562—21no—
321#14556562C2311yescharacteristic
322#14556562C2311yescharacteristic
323#14556562C2311yescharacteristic, complemented
324#14556561—21no—
325#14556561—21no—
326#14556561—21no—
327#14556561—21no—
328#14556561—21no—
329#14556561—21no—
330#14556561—21no—
331#14556561—21no—
332#14556561—21no—
333#14556561—21no—
334#14556561—21no—
335#14556561D411yescharacteristic
336#14556560—21no—
337#14556559—21no—
338#14556559—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559—21no—
342#14556559D411yescharacteristic
343C4×Dic146—21no—
344C4×Dic146C2311yescharacteristic, complemented
345#14556556—21no—
346#14556556—21no—
347#14556556C2311yescharacteristic, complemented
348C4×D292C2311yescharacteristic
349C4×D292C2311yescharacteristic
350D4×Dic73—21no—
351D4×Dic73C2311yescharacteristic
352D4×Dic73C2311yescharacteristic, complemented
353#14556553—21no—
354#14556553—21no—
355#14556553C2311yescharacteristic
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73C2311yescharacteristic
361C4×C22⋊D73C2311yescharacteristic
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556550—21no—
368#14556550—21no—
369#14556550C2311yescharacteristic
370#14556550C2311yescharacteristic, complemented
371#14556549—21no—
372#14556549C2311yescharacteristic
373#14556549C2311yescharacteristic
374#14556549C2311yescharacteristic
375#14556549C2311yescharacteristic
376#14556549C2311yescharacteristic, complemented
377#14556548—21no—
378#14556548C2311yescharacteristic
379#14556547—21no—
380#14556547—21no—
381#14556547—21no—
382C2×#11924007—21no—
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic
385C4⋊C4×D73C2311yescharacteristic, complemented
386C2×#11924005—21no—
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C42×D73—21no—
393#14556525C2311yescharacteristic, complemented
394#14556525C2311yescharacteristic, complemented
395#14556524C2311yescharacteristic, complemented
396#14556524C2311yescharacteristic, complemented
397#14556523C2311yescharacteristic, complemented
398#14556522C2311yescharacteristic, complemented
399#14556522C2311yescharacteristic, complemented
400#14556522C2311yescharacteristic, complemented
401#14556522C2311yescharacteristic, complemented
402C4⋊#10596831C2311yescharacteristic, complemented
403#14556520C2311yescharacteristic, complemented
404#14556520C2311yescharacteristic, complemented
405#14556516C2311yescharacteristic, complemented
406#14556515C2311yescharacteristic, complemented
407#14556515C2311yescharacteristic, complemented
408#14556515C2311yescharacteristic, complemented
409#14556514C2311yescharacteristic, complemented
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic, complemented
417#14556513C2311yescharacteristic, complemented
418#14556513C2311yescharacteristic, complemented
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic, complemented
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic, complemented
433#14556511C2311yescharacteristic, complemented
434#14556511C2311yescharacteristic, complemented
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic, complemented
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic, complemented
440#14556503C2311yescharacteristic, complemented
441#14556502C2311yescharacteristic, complemented
442#14556501C2311yescharacteristic, complemented
443C8×Dic73C2311yescharacteristic, complemented
444C2×#41×C73C2311yescharacteristic
445C22×D4×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic, complemented
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×M16×C73C2311yescharacteristic
450C2×M16×C73C2311yescharacteristic, complemented
451#126×C73—21no—
452#125×C73C2311yescharacteristic, complemented
453#124×C73C2311yescharacteristic
454#123×C73—21no—
455#123×C73—21no—
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73—21no—
458#121×C73—21no—
459#121×C73C2311yescharacteristic
460#121×C73C2311yescharacteristic
461#121×C73C2311yescharacteristic, complemented
462#120×C73—21no—
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic, complemented
467#117×C73C2311yescharacteristic
468C2×C4⋊C4×C73C2311yescharacteristic, complemented
469C2×C22⋊C4×C73—21no—
470#107×C73C2311yescharacteristic, complemented
471#107×C73C2311yescharacteristic, complemented
472#106×C73C2311yescharacteristic, complemented
473C4⋊C8×C73C2311yescharacteristic, complemented
474#103×C73C2311yescharacteristic, complemented
475#103×C73C2311yescharacteristic, complemented
476#103×C73C2311yescharacteristic, complemented
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic, complemented
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic, complemented
486C4×C8×C73C2311yescharacteristic, complemented
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—44no—
495C23×D73—82no—
496C23×D73—82no—
497C23×D73C2×D411yescharacteristic
498#11924029—22no—
499#11924029—22no—
500#11924029—22no—
501#11924029—41no—
502#11924028—22no—
503#11924028—22no—
504#11924028—44no—
505#11924027—22no—
506#11924027—22no—
507C2×Dic146—21no—
508C2×Dic146—21no—
509C2×Dic146C2×D411yescharacteristic
510C2×Dic146C2411yescharacteristic
511C2×D292—22no—
512C2×D292—22no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—41no—
522C2×D292—41no—
523C2×D292—44no—
524C2×D292—82no—
525C2×D292C2×D411yescharacteristic
526C2×D292C2×D411yescharacteristic
527C2×D292C2411yescharacteristic
528C2×D292C2411yescharacteristic
529C2×D292C2411yescharacteristic
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
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—44no—
544C2×C22⋊D73—82no—
545C2×C22⋊D73C2×D411yescharacteristic
546C2×C22⋊D73C2×D411yescharacteristic
547C2×C22⋊D73C2×D411yescharacteristic
548C2×C22⋊D73C2×D411yescharacteristic
549D4×D73—22no—
550D4×D73—22no—
551D4×D73—22no—
552D4×D73—22no—
553D4×D73—22no—
554D4×D73—22no—
555D4×D73—41no—
556D4×D73—41no—
557D4×D73—41no—
558D4×D73—44no—
559D4×D73—44no—
560D4×D73—44no—
561D4×D73—44no—
562D4×D73—82no—
563D4×D73—82no—
564D4×D73#4114yes—
565C22×Dic73—21no—
566C22×Dic73—21no—
567C22×Dic73—21no—
568C22×Dic73C2×D411yescharacteristic
569C2×C4×D73—22no—
570C2×C4×D73—22no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73C2×D411yescharacteristic
579C2×C4×D73C2×D411yescharacteristic
580C2×C4×D73C2411yescharacteristic
581C2×C4×D73C2411yescharacteristic
582C2×C4×D73C2411yescharacteristic
583#11924018—41no—
584#11924017—22no—
585#11924017—41no—
586#11924017—41no—
587#11924016—22no—
588#11924016—41no—
589#11924013—22no—
590#11924013—41no—
591#11924013—41no—
592#11924012—41no—
593#11924011—22no—
594#11924011—22no—
595#11924011—41no—
596#11924011—41no—
597#11924011—41no—
598C2×#10596831—41no—
599C2×#10596831C2411yescharacteristic
600C2×#10596831C2411yescharacteristic
601C2×#10596831C2411yescharacteristic
602C2×#10596831C2411yescharacteristic
603C8×D73—22no—
604C8×D73—22no—
605C8×D73—41no—
606C4⋊Dic73—21no—
607C4⋊Dic73—21no—
608C4⋊Dic73—21no—
609C4⋊Dic73—21no—
610C4⋊Dic73C2×D411yescharacteristic
611C4⋊Dic73C2411yescharacteristic
612C4⋊Dic73C2411yescharacteristic
613C4⋊Dic73C2411yescharacteristic
614C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
626#11924007C2×D411yescharacteristic
627#11924007C2×D411yescharacteristic
628#11924007C2×D411yescharacteristic
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73C2×D411yescharacteristic
639C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
655#11924005—21no—
656#11924005C2×D411yescharacteristic
657#11924005C2×D411yescharacteristic
658#11924005C2×D411yescharacteristic
659#11924005C2×D411yescharacteristic
660#11924005C2×D411yescharacteristic
661#11924005C2×D411yescharacteristic
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73—21no—
667C4×Dic73—21no—
668C4×Dic73—21no—
669C4×Dic73—21no—
670C4×Dic73—21no—
671C4×Dic73C2411yescharacteristic
672C24×C73—21no—
673#41×C73—22no—
674#41×C73—41no—
675C2×Q8×C73C2411yescharacteristic
676C2×D4×C73—22no—
677C2×D4×C73—21no—
678C2×D4×C73—21no—
679C2×D4×C73—21no—
680C2×D4×C73—21no—
681C2×D4×C73—21no—
682C2×D4×C73—41no—
683C2×D4×C73C2×D411yescharacteristic
684C2×D4×C73C2411yescharacteristic
685C2×D4×C73C2411yescharacteristic
686C2×D4×C73C2411yescharacteristic
687C22×C4×C73—21no—
688C22×C4×C73—21no—
689C22×C4×C73—21no—
690C22×C4×C73—21no—
691C22×C4×C73C2411yescharacteristic
692C22×C4×C73C2411yescharacteristic
693SD16×C73—41no—
694D8×C73—22no—
695D8×C73—41no—
696M16×C73—41no—
697M16×C73—41no—
698C2×C8×C73C2411yescharacteristic
699C2×C8×C73C2411yescharacteristic
700C2×C8×C73C2411yescharacteristic
701C2×C8×C73C2411yescharacteristic
702C4⋊C4×C73—21no—
703C4⋊C4×C73—21no—
704C4⋊C4×C73—21no—
705C4⋊C4×C73—21no—
706C4⋊C4×C73C2×D411yescharacteristic
707C4⋊C4×C73C2411yescharacteristic
708C4⋊C4×C73C2411yescharacteristic
709C4⋊C4×C73C2411yescharacteristic
710C4⋊C4×C73C2411yescharacteristic
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73—21no—
719C22⋊C4×C73—21no—
720C22⋊C4×C73C2×D411yescharacteristic
721C22⋊C4×C73C2×D411yescharacteristic
722C42×C73—21no—
723C42×C73C2411yescharacteristic
724C23×C73—21no—
725C23×C73—21no—
726C23×C73—21no—
727C23×C73—42no—
728C23×C73—42no—
729C23×C73—81no—
730C23×C73C22×D411yescharacteristic
731C23×C73C22×D411yescharacteristic
732C22×D73—21no—
733C22×D73—22no—
734C22×D73—24no—
735C22×D73—21no—
736C22×D73—21no—
737C22×D73—41no—
738C22×D73—41no—
739C22×D73—42no—
740C22×D73—42no—
741C22×D73—42no—
742C22×D73—42no—
743C22×D73—42no—
744C22×D73—42no—
745C22×D73—42no—
746C22×D73—42no—
747C22×D73—42no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73—81no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—816no—
760C22×D73C22×D411yescharacteristic
761C22×D73C22×D411yescharacteristic
762C22×D73C22×D411yescharacteristic
763Q8×C73—21no—
764Q8×C73—21no—
765D4×C73—21no—
766D4×C73—21no—
767D4×C73—21no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—41no—
771D4×C73—42no—
772D4×C73—42no—
773D4×C73—81no—
774D4×C73—81no—
775D4×C73—81no—
776D4×C73C2×#4112yes—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—42no—
787C2×C4×C73—81no—
788C2×C4×C73—81no—
789C2×C4×C73—81no—
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C22×D411yescharacteristic
792C2×C4×C73C22×D411yescharacteristic
793C2×C4×C73C22×D411yescharacteristic
794C2×C4×C73C2511yescharacteristic
795C22⋊D73—22no—
796C22⋊D73—24no—
797C22⋊D73—22no—
798C22⋊D73—41no—
799C22⋊D73—41no—
800C22⋊D73—42no—
801C22⋊D73—42no—
802C22⋊D73—42no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—81no—
807C22⋊D73—81no—
808C22⋊D73—81no—
809C22⋊D73—81no—
810C22⋊D73—81no—
811C22⋊D73—81no—
812C2×Dic73—22no—
813C2×Dic73—21no—
814C2×Dic73—21no—
815C2×Dic73—21no—
816C2×Dic73—21no—
817C2×Dic73—21no—
818C2×Dic73—42no—
819C2×Dic73—81no—
820C2×Dic73—81no—
821C2×Dic73C22×D411yescharacteristic
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826D292—22no—
827D292—21no—
828D292—21no—
829D292—21no—
830D292—21no—
831D292—21no—
832D292—41no—
833D292—42no—
834D292—42no—
835D292—42no—
836D292—42no—
837D292—42no—
838D292—81no—
839D292—81no—
840D292—81no—
841D292C2×#4112yes—
842C4×D73—22no—
843C4×D73—21no—
844C4×D73—21no—
845C4×D73—21no—
846C4×D73—21no—
847C4×D73—22no—
848C4×D73—42no—
849C4×D73—42no—
850C4×D73—81no—
851C4×D73—81no—
852C4×D73—81no—
853C4×D73—81no—
854C4×D73—81no—
855C4×D73C2×#4112yes—
856C4×D73H(5,𝔽2)12yes—
857Dic146—22no—
858Dic146—21no—
859Dic146—21no—
860Dic146—81no—
861Dic146—81no—
862C8×C73—21no—
863C8×C73—21no—
864C8×C73—21no—
865C8×C73—21no—
866#10596831—21no—
867#10596831—21no—
868#10596831—21no—
869#10596831—21no—
870C22×C73—21no—
871C22×C73—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—22no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—84no—
886C22×C73C23×D411yescharacteristic
887C2×D73—21no—
888C2×D73—21no—
889C2×D73—21no—
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—22no—
896C2×D73—44no—
897C2×D73—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—41no—
905C2×D73—84no—
906C2×D73—84no—
907C2×D73—84no—
908C2×D73—84no—
909C2×D73—84no—
910C2×D73—162no—
911C2×D73—162no—
912C2×D73#54612yes—
913C4×C73—21no—
914C4×C73—21no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—41no—
918C4×C73—41no—
919C4×C73—41no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73C22×#4111yescharacteristic
923C4×C73C2×H(5,𝔽2)11yescharacteristic
924Dic73—21no—
925Dic73—21no—
926Dic73—21no—
927Dic73—21no—
928Dic73—41no—
929Dic73—41no—
930Dic73—41no—
931Dic73—41no—
932Dic73—41no—
933Dic73#54612yes—
934#61175—731nomaximal, Sylow
935C2×C73—41no—
936C2×C73—42no—
937C2×C73—41no—
938C2×C73—81no—
939C2×C73—81no—
940C2×C73C2×#54611yescharacteristic
941C2×C73#358511yescharacteristic
942C2×C73#358511yescharacteristic
943D73—22no—
944D73—41no—
945D73—41no—
946D73—42no—
947D73—81no—
948D73—81no—
949#3493—731no—
950#3484—731no—
951#3325—731no—
952#3325—731no—
953#3324—731no—
954#3324—731no—
955#3323—731no—
956#3323—731no—
957#3322—731no—
958#3322D7311yescharacteristic, complemented
959#3319—731no—
960#3319—731no—
961#3318—731no—
962#3318—731no—
963#3311—731no—
964#3311—731no—
965#3310—731no—
966#3310—731no—
967#3136—731no—
968#3096—731no—
969#3093—731no—
970#3081—731no—
971#3062—731no—
972#3054—731no—
973#3045—731no—
974#3012—731no—
975#3003—731no—
976#2946—731no—
977#2930—731no—
978#2897—731no—
979C2×#418—731no—
980C73#6117511yescharacteristic, complemented, Sylow
981C2×H(5,𝔽2)—731no—
982C23×D4—731no—
983C2×AGL(1,ℤ/8)—731no—
984C2×AGL(1,ℤ/8)—731no—
985C2×#135—731no—
986C2×#131—731no—
987C22×M16—731no—
988#556—731no—
989#556—731no—
990#556—1461no—
991#555—731no—
992#555—731no—
993#555—1461no—
994#553—731no—
995#553—1461no—
996#553C2×D7311yescharacteristic, complemented
997#552—731no—
998#552—731no—
999#552—1461no—
1000#546—731no—
1001#546—731no—
1002#546—731no—
1003#546—1461no—
1004#546—1461no—
1005#546C2×D7311yescharacteristic
1006D42—731no—
1007D42—731no—
1008D42—731no—
1009D42—731no—
1010D42—1461no—
1011D42—1461no—
1012#544—731no—
1013#538—1461no—
1014#538—1461no—
1015#537—731no—
1016#535—731no—
1017#535—731no—
1018#534—1461no—
1019#534—1461no—
1020#529—1461no—
1021#529—1461no—
1022#525—731no—
1023#525—731no—
1024#525—731no—
1025C2×#120—1461no—
1026C2×#120—1461no—
1027#520—731no—
1028#520—731no—
1029#518—731no—
1030C2×#117—731no—
1031#490—731no—
1032#490—731no—
1033#489—731no—
1034#489—731no—
1035#488—731no—
1036#488C2×D7311yescharacteristic, complemented
1037#486—731no—
1038#486—731no—
1039#485—731no—
1040#485—731no—
1041#485—731no—
1042#485C2×D7311yescharacteristic, complemented
1043#482—731no—
1044#482—731no—
1045#482—731no—
1046#482—731no—
1047#482—731no—
1048#482—731no—
1049#482—731no—
1050#482—731no—
1051#481—731no—
1052#481—731no—
1053#480—731no—
1054#480C2×D7311yescharacteristic, complemented
1055#478—731no—
1056#478—731no—
1057#478—731no—
1058#478C2×D7311yescharacteristic, complemented
1059#476—731no—
1060#476—731no—
1061#474—731no—
1062#474—731no—
1063#470—731no—
1064#470—731no—
1065#469—731no—
1066#469—731no—
1067#469—731no—
1068#469C2×D7311yescharacteristic, complemented
1069#468—731no—
1070#468—731no—
1071#468—731no—
1072#468—731no—
1073#468—731no—
1074#468C2×D7311yescharacteristic, complemented
1075#466—731no—
1076#466—731no—
1077#465—731no—
1078#465—731no—
1079#464—731no—
1080#464—731no—
1081#463—731no—
1082#463C2×D7311yescharacteristic, complemented
1083#460—731no—
1084#460—731no—
1085#459—731no—
1086#459—731no—
1087#452—731no—
1088#452—731no—
1089#450—731no—
1090#450—731no—
1091#450—731no—
1092#450—731no—
1093#450—731no—
1094#450—731no—
1095#449—731no—
1096#449C2×D7311yescharacteristic, complemented
1097#447—731no—
1098#447—731no—
1099#447—731no—
1100#447—731no—
1101#447—731no—
1102#447C2×D7311yescharacteristic, complemented
1103#442—731no—
1104#442—731no—
1105#440—731no—
1106#440—731no—
1107C4×SD16—731no—
1108C4×SD16—731no—
1109C4×D8—731no—
1110C4×D8C2×D7311yescharacteristic, complemented
1111#436—731no—
1112#436—731no—
1113#436—731no—
1114#436C2×D7311yescharacteristic, complemented
1115#435—731no—
1116#435—731no—
1117#435—731no—
1118#435—731no—
1119#428—731no—
1120#428—731no—
1121#427—731no—
1122#424—731no—
1123#418—731no—
1124#418—731no—
1125#418—731no—
1126#418—731no—
1127#418—731no—
1128#418—731no—
1129#418—731no—
1130#418—731no—
1131#418—731no—
1132#418—731no—
1133#418—731no—
1134#418C2×D7311yescharacteristic, complemented
1135#417—731no—
1136#417—731no—
1137#417—731no—
1138#417C2×D7311yescharacteristic, complemented
1139#416—731no—
1140#416—731no—
1141#416—731no—
1142#416—731no—
1143C2×#102—731no—
1144C2×#102—731no—
1145C2×#102—731no—
1146C2×#102—731no—
1147C2×#102—731no—
1148C2×#102—731no—
1149#408—731no—
1150#407—731no—
1151#405—731no—
1152C25—1461no—
1153H(5,𝔽2)—2922no—
1154H(5,𝔽2)—1464no—
1155C2×#41—731no—
1156C2×#41—731no—
1157C2×#41—731no—
1158C2×#41—731no—
1159C2×#41—1461no—
1160C2×#41C22×D7311yescharacteristic
1161C22×D4—2922no—
1162C22×D4—731no—
1163C22×D4—731no—
1164C22×D4—731no—
1165C22×D4—731no—
1166C22×D4—731no—
1167C22×D4—731no—
1168C22×D4—731no—
1169C22×D4—1461no—
1170C22×D4—1461no—
1171C22×D4—1461no—
1172C22×D4—1461no—
1173C22×D4—1461no—
1174C22×D4—1461no—
1175C22×D4—1461no—
1176C22×D4—1464no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4C22×D7311yescharacteristic
1181C23×C4—731no—
1182AGL(1,ℤ/8)—2922no—
1183AGL(1,ℤ/8)—1464no—
1184#135—2922no—
1185C2×Q16—731no—
1186C2×SD16—731no—
1187C2×SD16—731no—
1188C2×SD16—731no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16C22×D7311yescharacteristic, complemented
1192C2×D8—731no—
1193C2×D8—731no—
1194C2×D8—731no—
1195C2×D8C22×D7311yescharacteristic
1196C2×D8C22×D7311yescharacteristic
1197#131—2922no—
1198C2×M16—2922no—
1199C2×M16—731no—
1200C2×M16—731no—
1201C2×M16—731no—
1202C2×M16—731no—
1203C2×M16—731no—
1204C2×M16—731no—
1205C2×M16C22×D7311yescharacteristic
1206C2×M16C22×D7311yescharacteristic, complemented
1207C22×C8—731no—
1208C22×C8—731no—
1209C22×C8—731no—
1210C22×C8—731no—
1211C4⋊Q8—731no—
1212C4⋊Q8—731no—
1213C4⋊Q8—1461no—
1214#127—731no—
1215#127—731no—
1216#127—1461no—
1217#126—21no—
1218#126—1461no—
1219#126—1461no—
1220#126—1461no—
1221#126—1461no—
1222#126—1461no—
1223#126—1461no—
1224#126—1461no—
1225#125—731no—
1226#125—1461no—
1227#125—1461no—
1228#125—1461no—
1229#125C22×D7311yescharacteristic, complemented
1230#124—731no—
1231#124—1461no—
1232#124—1461no—
1233#124—1461no—
1234#124—1461no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124C22×D7311yescharacteristic
1239#123—21no—
1240#123—21no—
1241#123—731no—
1242#123—731no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251C22⋊Q8—731no—
1252C22⋊Q8—731no—
1253C22⋊Q8—731no—
1254C22⋊Q8—731no—
1255C22⋊Q8—731no—
1256C22⋊Q8—731no—
1257C22⋊Q8—731no—
1258C22⋊Q8—1461no—
1259C22⋊Q8—1461no—
1260C22⋊Q8—1461no—
1261C22⋊Q8C22×D7311yescharacteristic
1262#121—21no—
1263#121—21no—
1264#121—731no—
1265#121—731no—
1266#121—731no—
1267#121—731no—
1268#121—731no—
1269#121—731no—
1270#121—731no—
1271#121—731no—
1272#121—731no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121—1461no—
1280#121—1461no—
1281#121—1461no—
1282#121—1461no—
1283#121—1461no—
1284#121—1461no—
1285#121—1461no—
1286#121—1461no—
1287#121—1461no—
1288#121C22×D7311yescharacteristic
1289#121C22×D7311yescharacteristic
1290#121C22×D7311yescharacteristic, complemented
1291#120—21no—
1292#120—731no—
1293#120—731no—
1294#120—1461no—
1295#120—1461no—
1296#120—1461no—
1297#120—1461no—
1298#120—1461no—
1299#120—1461no—
1300#120—1461no—
1301#120—1461no—
1302#120—1461no—
1303#120—1461no—
1304#120—1461no—
1305#120—1461no—
1306#120—1461no—
1307#120—1461no—
1308#120—1461no—
1309#120—1461no—
1310#120—1461no—
1311C4×Q8—731no—
1312C4×Q8—731no—
1313C4×Q8—1461no—
1314C4×Q8—1461no—
1315C4×Q8—1461no—
1316C4×D4—21no—
1317C4×D4—731no—
1318C4×D4—731no—
1319C4×D4—731no—
1320C4×D4—731no—
1321C4×D4—731no—
1322C4×D4—731no—
1323C4×D4—731no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4—1461no—
1327C4×D4—1461no—
1328C4×D4—1461no—
1329C4×D4—1461no—
1330C4×D4—1461no—
1331C4×D4—1461no—
1332C4×D4—1461no—
1333C4×D4—1461no—
1334C4×D4—1461no—
1335C4×D4—1461no—
1336C4×D4C22×D7311yescharacteristic
1337C4×D4C22×D7311yescharacteristic
1338C4×D4C22×D7311yescharacteristic, complemented
1339#117—731no—
1340#117—731no—
1341#117—731no—
1342#117—731no—
1343#117—731no—
1344#117—731no—
1345#117—731no—
1346#117—731no—
1347#117—1461no—
1348#117—1461no—
1349#117—1461no—
1350#117—1461no—
1351#117—1461no—
1352#117—1461no—
1353#117—1461no—
1354#117C22×D7311yescharacteristic
1355C2×C4⋊C4—731no—
1356C2×C4⋊C4—731no—
1357C2×C4⋊C4—731no—
1358C2×C4⋊C4—1461no—
1359C2×C4⋊C4C22×D7311yescharacteristic, complemented
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—1461no—
1362C2×C22⋊C4—1461no—
1363C2×C22⋊C4—1461no—
1364C2×C22⋊C4—1461no—
1365C2×C22⋊C4—1461no—
1366C2×C22⋊C4—1461no—
1367C2×C42—1461no—
1368#107—731no—
1369#107—731no—
1370#107—731no—
1371#107—731no—
1372#107C22×D7311yescharacteristic, complemented
1373#107C22×D7311yescharacteristic, complemented
1374#106—731no—
1375#106—731no—
1376#106—731no—
1377#106—731no—
1378#106—731no—
1379#106C22×D7311yescharacteristic, complemented
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8—731no—
1383C4⋊C8C22×D7311yescharacteristic, complemented
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103C22×D7311yescharacteristic, complemented
1390#103C22×D7311yescharacteristic, complemented
1391#103C22×D7311yescharacteristic, complemented
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102—731no—
1396#102—731no—
1397#102—731no—
1398#102—731no—
1399#102—731no—
1400#102—731no—
1401#102—731no—
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
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#102C22×D7311yescharacteristic
1418#102C22×D7311yescharacteristic
1419#102C22×D7311yescharacteristic
1420#102C22×D7311yescharacteristic
1421#102C22×D7311yescharacteristic
1422#102C22×D7311yescharacteristic
1423#102C22×D7311yescharacteristic, complemented
1424C22⋊C8—731no—
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8C22×D7311yescharacteristic
1431C22⋊C8C22×D7311yescharacteristic, complemented
1432#97—731no—
1433#97—731no—
1434C4×C8—731no—
1435C4×C8C22×D7311yescharacteristic, complemented
1436C24—21no—
1437C24—2924no—
1438C24—5842no—
1439C24—5842no—
1440C24—731no—
1441C24—1461no—
1442C24—1461no—
1443C24—1461no—
1444C24—1461no—
1445C24—1461no—
1446C24—1461no—
1447C24—1461no—
1448#41—22no—
1449#41—41no—
1450#41—2924no—
1451#41—2921no—
1452#41—1462no—
1453#41—1462no—
1454#41—1462no—
1455#41—1462no—
1456#41—1462no—
1457#41—1462no—
1458#41—1462no—
1459C2×Q8—731no—
1460C2×Q8—731no—
1461C2×Q8—1461no—
1462C2×Q8—1461no—
1463C2×Q8C23×D7311yescharacteristic
1464C2×D4—22no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—41no—
1471C2×D4—2921no—
1472C2×D4—2921no—
1473C2×D4—2924no—
1474C2×D4—2924no—
1475C2×D4—2924no—
1476C2×D4—2921no—
1477C2×D4—2921no—
1478C2×D4—2921no—
1479C2×D4—2924no—
1480C2×D4—2924no—
1481C2×D4—2924no—
1482C2×D4—5842no—
1483C2×D4—5842no—
1484C2×D4—5842no—
1485C2×D4—5842no—
1486C2×D4—731no—
1487C2×D4—731no—
1488C2×D4—734no—
1489C2×D4—731no—
1490C2×D4—731no—
1491C2×D4—731no—
1492C2×D4—731no—
1493C2×D4—731no—
1494C2×D4—731no—
1495C2×D4—731no—
1496C2×D4—1461no—
1497C2×D4—1461no—
1498C2×D4—1461no—
1499C2×D4—1462no—
1500C2×D4—1462no—
1501C2×D4—1461no—
1502C2×D4—1462no—
1503C2×D4—1462no—
1504C2×D4—1462no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1462no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1462no—
1516C2×D4—1462no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4D4×D7311yescharacteristic
1526C2×D4C23×D7311yescharacteristic
1527C2×D4C23×D7311yescharacteristic
1528C2×D4C23×D7311yescharacteristic
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
1537C22×C4—731no—
1538C22×C4—731no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1462no—
1546C22×C4—1462no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4C23×D7311yescharacteristic
1552C22×C4C23×D7311yescharacteristic
1553Q16—2921no—
1554SD16—41no—
1555SD16—2921no—
1556SD16—2921no—
1557SD16—2921no—
1558SD16—1462no—
1559SD16—1462no—
1560D8—22no—
1561D8—41no—
1562D8—2921no—
1563D8—2921no—
1564D8—1462no—
1565M16—41no—
1566M16—41no—
1567M16—2921no—
1568M16—2921no—
1569M16—2921no—
1570M16—2921no—
1571M16—1462no—
1572M16—1462no—
1573C2×C8—2921no—
1574C2×C8—2921no—
1575C2×C8—731no—
1576C2×C8—731no—
1577C2×C8—731no—
1578C2×C8—731no—
1579C2×C8—1462no—
1580C2×C8—1462no—
1581C2×C8C23×D7311yescharacteristic
1582C2×C8C23×D7311yescharacteristic
1583C2×C8C23×D7311yescharacteristic
1584C2×C8C23×D7311yescharacteristic
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—731no—
1590C4⋊C4—731no—
1591C4⋊C4—731no—
1592C4⋊C4—731no—
1593C4⋊C4—731no—
1594C4⋊C4—731no—
1595C4⋊C4—731no—
1596C4⋊C4—731no—
1597C4⋊C4—731no—
1598C4⋊C4—1461no—
1599C4⋊C4—1461no—
1600C4⋊C4—1461no—
1601C4⋊C4—1461no—
1602C4⋊C4—1461no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4D4×D7311yescharacteristic
1613C4⋊C4C23×D7311yescharacteristic
1614C4⋊C4C23×D7311yescharacteristic
1615C4⋊C4C23×D7311yescharacteristic
1616C4⋊C4C23×D7311yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—731no—
1627C22⋊C4—731no—
1628C22⋊C4—731no—
1629C22⋊C4—731no—
1630C22⋊C4—731no—
1631C22⋊C4—731no—
1632C22⋊C4—731no—
1633C22⋊C4—731no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4D4×D7311yescharacteristic
1660C22⋊C4D4×D7311yescharacteristic
1661C42—21no—
1662C42—731no—
1663C42—1461no—
1664C42—1461no—
1665C42—1461no—
1666C42—1461no—
1667C42—1461no—
1668C42—1461no—
1669C42—1461no—
1670C42—1461no—
1671C42—1461no—
1672C42C23×D7311yescharacteristic
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—42no—
1677C23—42no—
1678C23—81no—
1679C23—2921no—
1680C23—2921no—
1681C23—2922no—
1682C23—2922no—
1683C23—2922no—
1684C23—2922no—
1685C23—2922no—
1686C23—2922no—
1687C23—2922no—
1688C23—2922no—
1689C23—2922no—
1690C23—5841no—
1691C23—5841no—
1692C23—5841no—
1693C23—5841no—
1694C23—5841no—
1695C23—5841no—
1696C23—5841no—
1697C23—5841no—
1698C23—5841no—
1699C23—5841no—
1700C23—5841no—
1701C23—58416no—
1702C23—731no—
1703C23—731no—
1704C23—731no—
1705C23—1462no—
1706C23—1464no—
1707C23—1461no—
1708C23—1461no—
1709C23—1461no—
1710C23C2×D4×D7311yescharacteristic
1711C23C2×D4×D7311yescharacteristic
1712Q8—21no—
1713Q8—21no—
1714Q8—5841no—
1715Q8—5841no—
1716Q8—1462no—
1717Q8—1461no—
1718Q8—1461no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—41no—
1725D4—42no—
1726D4—42no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—2922no—
1731D4—2922no—
1732D4—2921no—
1733D4—2922no—
1734D4—2922no—
1735D4—2922no—
1736D4—2922no—
1737D4—2922no—
1738D4—2922no—
1739D4—2922no—
1740D4—2922no—
1741D4—2921no—
1742D4—2921no—
1743D4—2922no—
1744D4—5841no—
1745D4—5841no—
1746D4—5841no—
1747D4—5841no—
1748D4—5841no—
1749D4—5841no—
1750D4—5841no—
1751D4—5841no—
1752D4—5841no—
1753D4—732no—
1754D4—1462no—
1755D4—1464no—
1756D4—1462no—
1757D4—1462no—
1758D4—1461no—
1759D4—1461no—
1760D4—1461no—
1761D4—1461no—
1762D4—1461no—
1763D4#41×D7312yes—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—42no—
1774C2×C4—81no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—2922no—
1778C2×C4—2922no—
1779C2×C4—2922no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—5841no—
1785C2×C4—5841no—
1786C2×C4—5841no—
1787C2×C4—731no—
1788C2×C4—732no—
1789C2×C4—732no—
1790C2×C4—731no—
1791C2×C4—731no—
1792C2×C4—731no—
1793C2×C4—731no—
1794C2×C4—1462no—
1795C2×C4—1462no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1462no—
1802C2×C4—1461no—
1803C2×C4—1461no—
1804C2×C4—1461no—
1805C2×C4—1461no—
1806C2×C4C2×D4×D7311yescharacteristic
1807C2×C4C2×D4×D7311yescharacteristic
1808C2×C4C2×D4×D7311yescharacteristic
1809C2×C4C2×D4×D7311yescharacteristic
1810C2×C4C24×D7311yescharacteristic
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—21no—
1815C8—1461no—
1816C8—1461no—
1817C8—1461no—
1818C8—1461no—
1819C22—21no—
1820C22—21no—
1821C22—22no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—84no—
1835C22—2924no—
1836C22—2921no—
1837C22—2921no—
1838C22—2921no—
1839C22—2921no—
1840C22—2921no—
1841C22—2921no—
1842C22—2921no—
1843C22—2921no—
1844C22—5844no—
1845C22—5844no—
1846C22—5844no—
1847C22—5844no—
1848C22—5844no—
1849C22—732no—
1850C22—11682no—
1851C22—11682no—
1852C22—1462no—
1853C22—1461no—
1854C22—1461no—
1855C22—1461no—
1856C22—1461no—
1857C22—1461no—
1858C22—1461no—
1859C22—1461no—
1860C22—1461no—
1861C22C22×D4×D7311yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—2921no—
1872C4—2921no—
1873C4—2921no—
1874C4—2921no—
1875C4—2921no—
1876C4—732no—
1877C4—1461no—
1878C4—1461no—
1879C4—1461no—
1880C4—1461no—
1881C4C2×#41×D7311yescharacteristic
1882C4H(5,𝔽2)×D7311yescharacteristic
1883C2—41no—
1884C2—41no—
1885C2—42no—
1886C2—81no—
1887C2—81no—
1888C2—2921no—
1889C2—2922no—
1890C2—2921no—
1891C2—5841no—
1892C2—5841no—
1893C2—1462no—
1894C2#546×D7311yescharacteristic
1895C2#2262470611yescharacteristic
1896C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3322C2
socleC22×C73C23×D4
hypercenter#3322D73
hypocenterC73#61175
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #22623647C2semidirect
2. #22623561C2semidirect
3. #22622175C2semidirect
4. #22622168C2semidirect
5. #22622163C2semidirect
6. #22622158C2semidirect
7. #22622148C2semidirect
8. #22622146C2semidirect
9. #22622138C2semidirect
10. #22622094C2semidirect
11. #22622091C2semidirect
12. #22622066C2semidirect
13. #22622065C2semidirect
14. #22621970C2semidirect
15. #22621967C2semidirect
16. #22621950C2semidirect
17. #22621949C2semidirect
18. #22620284C2semidirect
19. #22619882C2semidirect
20. #22619863C2semidirect
21. #22619759C2semidirect
22. #22619608C2semidirect
23. #22619535C2semidirect
24. #22619471C2semidirect
25. #22619233C2semidirect
26. #22619155C2semidirect
27. #22618756C2semidirect
28. #22618631C2semidirect
29. #22618455C2semidirect
30. #418×D73C2semidirect
31. C73×#3322C2semidirect
35. C2×#14556615C22semidirect
36. C2×#14556612C22semidirect
37. C2×#14556599C22semidirect
38. C2×M16×D73C22semidirect
39. #17989307C22semidirect
40. #17989305C22semidirect
42. #17989302C22semidirect
44. #17989301C22semidirect
46. #17989284C22semidirect
47. #17989275C22semidirect
49. #17989272C22semidirect
61. #17989217C22semidirect
64. #17989166C22semidirect
72. #17989097C22semidirect
76. #17989068C22semidirect
77. #17989066C22semidirect
79. #117×D73C22semidirect
80. #17988953C22semidirect
81. #17988950C22semidirect
82. #17988948C22semidirect
83. #17988946C22semidirect
84. #17988943C22semidirect
85. #17988934C22semidirect
86. #17988932C22semidirect
87. #17988927C22semidirect
88. #17988926C22semidirect
89. #17988925C22semidirect
90. #17988914C22semidirect
91. #17988914C22semidirect
92. #17988913C22semidirect
93. #17988912C22semidirect
94. #17988912C22semidirect
95. #17988911C22semidirect
96. #17988909C22semidirect
97. #17988908C22semidirect
98. #17988905C22semidirect
99. #17988904C22semidirect
100. #17988902C22semidirect
101. #17988890C22semidirect
102. #17988885C22semidirect
103. #17988884C22semidirect
104. #17988877C22semidirect
105. #17988876C22semidirect
106. #17988868C22semidirect
107. #17988865C22semidirect
108. #17988844C22semidirect
109. #17988843C22semidirect
110. #17988839C22semidirect
111. #17988839C22semidirect
112. #17988838C22semidirect
113. #17988834C22semidirect
114. #17988833C22semidirect
115. #17988833C22semidirect
116. #17988832C22semidirect
117. #17988830C22semidirect
118. #17988821C22semidirect
119. #17988820C22semidirect
120. #17988817C22semidirect
121. #17988814C22semidirect
122. #17988812C22semidirect
123. #17988806C22semidirect
124. #17988804C22semidirect
125. #17988788C22semidirect
126. #17988786C22semidirect
127. #17988782C22semidirect
128. #17988780C22semidirect
129. #17988752C22semidirect
130. #17988749C22semidirect
131. #17988740C22semidirect
132. #17988740C22semidirect
133. #17988739C22semidirect
134. #17988739C22semidirect
135. #17988739C22semidirect
136. #17988738C22semidirect
137. #17988731C22semidirect
138. #17988720C22semidirect
139. #17988720C22semidirect
140. #17988719C22semidirect
141. #17988719C22semidirect
142. #17988719C22semidirect
143. #17988699C22semidirect
144. #17988697C22semidirect
145. #17988687C22semidirect
146. #17988686C22semidirect
147. #17988678C22semidirect
148. C4×#11924017C22semidirect
149. #17988667C22semidirect
150. #17988666C22semidirect
151. #17988663C22semidirect
152. #17988663C22semidirect
153. #17988661C22semidirect
154. #17988659C22semidirect
155. #17988657C22semidirect
156. #17988655C22semidirect
157. #17988628C22semidirect
158. #17988626C22semidirect
159. #17988624C22semidirect
160. #17988612C22semidirect
161. #17988593C22semidirect
162. #17988593C22semidirect
163. #17988592C22semidirect
164. #17988591C22semidirect
166. #17988590C22semidirect
167. #17988590C22semidirect
168. #17988590C22semidirect
169. #17988590C22semidirect
170. #17988590C22semidirect
171. #17988590C22semidirect
172. #17988587C22semidirect
173. #17988587C22semidirect
174. #17988587C22semidirect
175. #17988583C22semidirect
176. #17988582C22semidirect
177. #17988582C22semidirect
178. #17988580C22semidirect
179. C2×#14556511C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. #17988552C22semidirect
186. #17988549C22semidirect
187. #17988541C22semidirect
188. #553×C73C22semidirect
190. #488×C73C22semidirect
191. #485×C73C22semidirect
192. #480×C73C22semidirect
193. #478×C73C22semidirect
194. #469×C73C22semidirect
195. #468×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #447×C73C22semidirect
199. C4×D8×C73C22semidirect
200. #436×C73C22semidirect
201. #418×C73C22semidirect
202. #417×C73C22semidirect
234. C2×#11924018C23semidirect
237. C2×#11924017C23semidirect
242. C2×#11924013C23semidirect
249. C2×#11924011C23semidirect
251. C22×#10596831C23semidirect
254. C2×C8×D73C23semidirect
255. #14556591C23semidirect
257. #14556590C23semidirect
269. #14556582C23semidirect
292. #14556571C23semidirect
294. #14556570C23semidirect
323. #14556562C23semidirect
344. C4×Dic146C23semidirect
347. #14556556C23semidirect
352. D4×Dic73C23semidirect
370. #14556550C23semidirect
376. #14556549C23semidirect
385. C4⋊C4×D73C23semidirect
393. #14556525C23semidirect
394. #14556525C23semidirect
395. #14556524C23semidirect
396. #14556524C23semidirect
397. #14556523C23semidirect
398. #14556522C23semidirect
399. #14556522C23semidirect
400. #14556522C23semidirect
401. #14556522C23semidirect
402. C4⋊#10596831C23semidirect
403. #14556520C23semidirect
404. #14556520C23semidirect
405. #14556516C23semidirect
406. #14556515C23semidirect
407. #14556515C23semidirect
408. #14556515C23semidirect
409. #14556514C23semidirect
416. #14556513C23semidirect
417. #14556513C23semidirect
418. #14556513C23semidirect
425. #14556512C23semidirect
432. #14556511C23semidirect
433. #14556511C23semidirect
434. #14556511C23semidirect
436. C22⋊#10596831C23semidirect
439. #14556503C23semidirect
440. #14556503C23semidirect
441. #14556502C23semidirect
442. #14556501C23semidirect
443. C8×Dic73C23semidirect
446. C2×SD16×C73C23semidirect
450. C2×M16×C73C23semidirect
452. #125×C73C23semidirect
461. #121×C73C23semidirect
466. C4×D4×C73C23semidirect
468. C2×C4⋊C4×C73C23semidirect
470. #107×C73C23semidirect
471. #107×C73C23semidirect
472. #106×C73C23semidirect
473. C4⋊C8×C73C23semidirect
474. #103×C73C23semidirect
475. #103×C73C23semidirect
476. #103×C73C23semidirect
483. #102×C73C23semidirect
485. C22⋊C8×C73C23semidirect
486. C4×C8×C73C23semidirect
958. #3322D73semidirect
980. C73#61175semidirect
996. #553C2×D73semidirect
1036. #488C2×D73semidirect
1042. #485C2×D73semidirect
1054. #480C2×D73semidirect
1058. #478C2×D73semidirect
1068. #469C2×D73semidirect
1074. #468C2×D73semidirect
1082. #463C2×D73semidirect
1096. #449C2×D73semidirect
1102. #447C2×D73semidirect
1110. C4×D8C2×D73semidirect
1114. #436C2×D73semidirect
1134. #418C2×D73semidirect
1138. #417C2×D73semidirect
1191. C2×SD16C22×D73semidirect
1206. C2×M16C22×D73semidirect
1229. #125C22×D73semidirect
1290. #121C22×D73semidirect
1338. C4×D4C22×D73semidirect
1359. C2×C4⋊C4C22×D73semidirect
1372. #107C22×D73semidirect
1373. #107C22×D73semidirect
1379. #106C22×D73semidirect
1383. C4⋊C8C22×D73semidirect
1389. #103C22×D73semidirect
1390. #103C22×D73semidirect
1391. #103C22×D73semidirect
1423. #102C22×D73semidirect
1431. C22⋊C8C22×D73semidirect
1435. C4×C8C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226236472
#226235612
#226221752
#226221682
#226221632
#226221582
#226221482
#226221462
#226221382
#226220942
#226220912
#226220662
#226220652
#226219702
#226219672
#226219502
#226219492
#226202842
#226198822
#226198632
#226197592
#226196082
#226195352
#226194712
#226192332
#226191552
#226187562
#226186312
#226184552
#418×D732
C73×#33222
#6117573