Finite Group Databasebeta

← #33962474

Subgroups — #33962474

Order 18688.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623485C211yesmaximal, characteristic, complemented
2#22623414C211yesmaximal, characteristic, complemented
3#22621879C211yesmaximal, characteristic, complemented
4#22621868C211yesmaximal, characteristic, complemented
5#22621857C211yesmaximal, characteristic, complemented
6#22621846C211yesmaximal, characteristic, complemented
7#22621836C211yesmaximal, characteristic, complemented
8#22621831C211yesmaximal, characteristic, complemented
9#22621821C211yesmaximal, characteristic, complemented
10#22621816C211yesmaximal, characteristic, complemented
11#22621805C211yesmaximal, characteristic, complemented
12#22621794C211yesmaximal, characteristic, complemented
13#22621784C211yesmaximal, characteristic, complemented
14#22621779C211yesmaximal, characteristic, complemented
15#22621769C211yesmaximal, characteristic, complemented
16#22621764C211yesmaximal, characteristic, complemented
17#22621753C211yesmaximal, characteristic, complemented
18#22621742C211yesmaximal, characteristic, complemented
19#22620251C211yesmaximal, characteristic, complemented
20#22619848C211yesmaximal, characteristic, complemented
21#22619717C211yesmaximal, characteristic, complemented
22#22619513C211yesmaximal, characteristic, complemented
23#22619509C211yesmaximal, characteristic, complemented
24#22619384C211yesmaximal, characteristic, complemented
25#22619153C211yesmaximal, characteristic, complemented
26#22619151C211yesmaximal, characteristic, complemented
27#22618702C211yesmaximal, characteristic, complemented
28C2×#17988650C211yesmaximal, characteristic, complemented
29C2×#17988581C211yesmaximal, characteristic, complemented
30#416×D73C211yesmaximal, characteristic, complemented
31C73×#3091C211yesmaximal, characteristic, complemented
32C22×#11924028C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#14556613C2211yescharacteristic
35C2×#14556613C2211yescharacteristic, complemented
36C2×#14556611C2211yescharacteristic, complemented
37C23×#10596831C2211yescharacteristic, complemented
38C22×C8×D73C2211yescharacteristic, complemented
39#17989305C2211yescharacteristic, complemented
40#17989300C2211yescharacteristic, complemented
41#17989292C2211yescharacteristic
42#17989285C2211yescharacteristic, complemented
43#17989281C2211yescharacteristic, complemented
44#17989276C2211yescharacteristic, complemented
45#17989272C2211yescharacteristic, complemented
46#17989270—21no—
47#17989263—21no—
48#17989261—21no—
49#17989255C2211yescharacteristic
50#17989250C2211yescharacteristic
51#17989247C2211yescharacteristic
52#17989243C2211yescharacteristic
53#17989239C2211yescharacteristic
54#17989238C2211yescharacteristic
55#17989235—21no—
56#17989234C2211yescharacteristic
57#17989229—21no—
58#17989228C2211yescharacteristic
59#17989227—21no—
60#17989224—21no—
61#17989221C2211yescharacteristic
62#17989219—21no—
63#17989140C2211yescharacteristic, complemented
64#17989134—21no—
65#17989133C2211yescharacteristic
66#17989121—21no—
67#17989115—21no—
68#17989115—21no—
69#17989099C2211yescharacteristic
70#17989099C2211yescharacteristic, complemented
71#17989098C2211yescharacteristic, complemented
72#17989096—21no—
73#17989096—21no—
74C4×#11924028—21no—
75#17989055C2211yescharacteristic
76#17989055C2211yescharacteristic, complemented
77C2×C4×C22⋊D73C2211yescharacteristic
78C4×D4×D73—21no—
79#117×D73C2211yescharacteristic, complemented
80#17988943C2211yescharacteristic, complemented
81#17988943C2211yescharacteristic, complemented
82#17988940C2211yescharacteristic, complemented
83#17988940C2211yescharacteristic, complemented
84#17988936C2211yescharacteristic, complemented
85#17988936C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988931C2211yescharacteristic, complemented
89#17988930C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988919C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic, complemented
96#17988897C2211yescharacteristic, complemented
97#17988893C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988886C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988871C2211yescharacteristic, complemented
103#17988866C2211yescharacteristic, complemented
104#17988829C2211yescharacteristic, complemented
105#17988829C2211yescharacteristic, complemented
106#17988826C2211yescharacteristic, complemented
107#17988826C2211yescharacteristic, complemented
108#17988824C2211yescharacteristic, complemented
109#17988824C2211yescharacteristic, complemented
110#17988821C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988818C2211yescharacteristic, complemented
113#17988818C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988817C2211yescharacteristic, complemented
117#17988817C2211yescharacteristic, complemented
118#17988814C2211yescharacteristic, complemented
119#17988814C2211yescharacteristic, complemented
120#17988812C2211yescharacteristic, complemented
121#17988808C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic, complemented
123#17988801C2211yescharacteristic, complemented
124#17988796C2211yescharacteristic, complemented
125#17988791C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic, complemented
132#17988745C2211yescharacteristic, complemented
133#17988744C2211yescharacteristic, complemented
134#17988740C2211yescharacteristic, complemented
135#17988739C2211yescharacteristic, complemented
136#17988735C2211yescharacteristic, complemented
137#17988734C2211yescharacteristic, complemented
138#17988734C2211yescharacteristic, complemented
139#17988733C2211yescharacteristic, complemented
140#17988728C2211yescharacteristic, complemented
141#17988727C2211yescharacteristic, complemented
142#17988723C2211yescharacteristic, complemented
143#17988722C2211yescharacteristic, complemented
144#17988681C2211yescharacteristic, complemented
145#17988681C2211yescharacteristic, complemented
146#17988674C2211yescharacteristic, complemented
147#17988674C2211yescharacteristic, complemented
148#17988674C2211yescharacteristic, complemented
149#17988674C2211yescharacteristic, complemented
150#17988669C2211yescharacteristic, complemented
151#17988669C2211yescharacteristic, complemented
152#17988650C2211yescharacteristic
153#17988650C2211yescharacteristic
154#17988650C2211yescharacteristic, complemented
155#17988650C2211yescharacteristic, complemented
156#17988650C2211yescharacteristic, complemented
157#17988650C2211yescharacteristic, complemented
158#17988650C2211yescharacteristic, complemented
159#17988650C2211yescharacteristic, complemented
160#17988623C2211yescharacteristic, complemented
161C2×#14556520C2211yescharacteristic, complemented
162#17988584C2211yescharacteristic
163#17988584C2211yescharacteristic, complemented
164#17988583C2211yescharacteristic, complemented
165#17988582C2211yescharacteristic, complemented
166#17988582C2211yescharacteristic, complemented
167#17988581C2211yescharacteristic
168#17988581C2211yescharacteristic
169#17988581C2211yescharacteristic, complemented
170#17988581C2211yescharacteristic, complemented
171#17988581C2211yescharacteristic, complemented
172#17988581C2211yescharacteristic, complemented
173#17988581C2211yescharacteristic, complemented
174#17988581C2211yescharacteristic, complemented
175#17988581C2211yescharacteristic, complemented
176#17988580C2211yescharacteristic, complemented
177#17988580C2211yescharacteristic, complemented
178C2×#14556514C2211yescharacteristic, complemented
179C2×#14556514C2211yescharacteristic, complemented
180#103×D73C2211yescharacteristic, complemented
181#103×D73C2211yescharacteristic, complemented
182C2×#14556511C2211yescharacteristic, complemented
183C2×#14556511C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic, complemented
188#525×C73C2211yescharacteristic
189C2×#117×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#483×C73C2211yescharacteristic, complemented
194#482×C73C2211yescharacteristic, complemented
195#482×C73C2211yescharacteristic, complemented
196#481×C73C2211yescharacteristic, complemented
197#480×C73C2211yescharacteristic, complemented
198#427×C73C2211yescharacteristic, complemented
199#427×C73C2211yescharacteristic, complemented
200#416×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202C2×C22⋊C8×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—24no—
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924028—42no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924027—21no—
216C2×#11924027C2311yescharacteristic
217#41×D73—24no—
218#41×D73—42no—
219C22×Dic146C2311yescharacteristic
220C2×Q8×D73C2311yescharacteristic
221C22×D292C2311yescharacteristic
222C22×C22⋊D73—21no—
223C22×C22⋊D73D411yescharacteristic
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73C2311yescharacteristic
227C22×C4×D73—21no—
228C22×C4×D73—21no—
229C22×C4×D73C2311yescharacteristic
230#14556613—24no—
231#14556613—42no—
232#14556611—42no—
233C2×Dic292C2311yescharacteristic
234C2×Dic292C2311yescharacteristic
235C2×#11924018C2311yescharacteristic
236C2×#11924017C2311yescharacteristic
237C2×#11924017C2311yescharacteristic
238C2×#11924017C2311yescharacteristic
239C2×#11924017C2311yescharacteristic
240C2×#11924016C2311yescharacteristic
241C2×#11924015C2311yescharacteristic
242C2×D584C2311yescharacteristic
243C2×D584C2311yescharacteristic
244C2×#11924013C2311yescharacteristic
245C22×#10596831—42no—
246C22×#10596831C2311yescharacteristic
247C22×#10596831C2311yescharacteristic
248C22×#10596831C2311yescharacteristic
249C22×#10596831C2311yescharacteristic
250C22×#10596831C2311yescharacteristic
251C22×#10596831C2311yescharacteristic
252C2×C8×D73—42no—
253C2×C8×D73C2311yescharacteristic
254C2×C8×D73C2311yescharacteristic
255C2×C8×D73C2311yescharacteristic
256C2×C8×D73C2311yescharacteristic
257#14556590—21no—
258#14556590C2311yescharacteristic
259#14556590C2311yescharacteristic
260#14556589C2311yescharacteristic
261#14556587—21no—
262#14556587C2311yescharacteristic
263#14556586—21no—
264#14556586—21no—
265#14556585—21no—
266#14556585—21no—
267#14556584—21no—
268#14556584—21no—
269#14556583—21no—
270#14556582C2311yescharacteristic
271#14556582C2311yescharacteristic
272#14556581—21no—
273#14556581—21no—
274#14556580C2311yescharacteristic
275#14556579—21no—
276#14556578C2311yescharacteristic
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556575—21no—
286#14556575—21no—
287#14556574—21no—
288#14556574—21no—
289#14556574—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556571C2311yescharacteristic
295#14556571C2311yescharacteristic
296#14556571C2311yescharacteristic
297#14556571C2311yescharacteristic
298#14556570—21no—
299#14556570C2311yescharacteristic
300#14556570C2311yescharacteristic
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556569—21no—
305#14556568—21no—
306#14556568—21no—
307#14556568—21no—
308#14556568—21no—
309#14556566—21no—
310#14556566C2311yescharacteristic
311#14556566C2311yescharacteristic
312#14556566C2311yescharacteristic
313#14556566C2311yescharacteristic
314#14556565—21no—
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556562—21no—
328#14556561—21no—
329#14556561—21no—
330#14556561—21no—
331#14556561—21no—
332#14556560—21no—
333#14556559—21no—
334#14556559—21no—
335C4×Dic146—21no—
336C4×Dic146—21no—
337C4×Dic146—21no—
338#14556556C2311yescharacteristic
339#14556556C2311yescharacteristic
340#14556556C2311yescharacteristic
341#14556556C2311yescharacteristic
342C4×D292—21no—
343C4×D292—21no—
344C4×D292—21no—
345C4×D292—21no—
346C4×D292—21no—
347D4×Dic73—21no—
348#14556553—21no—
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73D411yescharacteristic
360C4×C22⋊D73D411yescharacteristic
361C4×C22⋊D73D411yescharacteristic
362C4×C22⋊D73D411yescharacteristic
363C4×C22⋊D73C2311yescharacteristic
364C4×C22⋊D73C2311yescharacteristic
365C4×C22⋊D73C2311yescharacteristic
366C4×C22⋊D73C2311yescharacteristic
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556550—21no—
374#14556550C2311yescharacteristic
375#14556549C2311yescharacteristic
376#14556549C2311yescharacteristic
377#14556548—21no—
378#14556548—21no—
379#14556548—21no—
380#14556548—21no—
381#14556548—21no—
382#14556547—21no—
383C2×#11924007D411yescharacteristic
384C4⋊C4×D73—21no—
385C4⋊C4×D73C2311yescharacteristic
386C4⋊C4×D73C2311yescharacteristic
387C2×C22⋊Dic73D411yescharacteristic
388C2×#11924005D411yescharacteristic
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C2×C4×Dic73C2311yescharacteristic
393C42×D73—21no—
394C42×D73—21no—
395C42×D73—21no—
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435#14556511C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C8×Dic73C2311yescharacteristic
443C8×Dic73C2311yescharacteristic
444C2×#41×C73C2311yescharacteristic
445C23×C4×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448#123×C73—21no—
449C22⋊Q8×C73C2311yescharacteristic
450C22⋊Q8×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453#120×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456#117×C73—21no—
457#117×C73—21no—
458#117×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460#117×C73C2311yescharacteristic
461#117×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463C2×C4⋊C4×C73C2311yescharacteristic
464C2×C4⋊C4×C73C2311yescharacteristic
465C2×C22⋊C4×C73—21no—
466C2×C42×C73—21no—
467#107×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#107×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472#106×C73C2311yescharacteristic
473#106×C73C2311yescharacteristic
474#106×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483C22⋊C8×C73C2311yescharacteristic
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C23×D73—21no—
488C23×D73—21no—
489C23×D73C2×D411yescharacteristic
490#11924029—22no—
491#11924029—41no—
492#11924028—22no—
493#11924028—22no—
494#11924028—22no—
495#11924028—22no—
496#11924028—22no—
497#11924028—22no—
498#11924028—22no—
499#11924028—41no—
500#11924028—41no—
501#11924028—44no—
502#11924028—44no—
503#11924028—44no—
504#11924028—44no—
505#11924028#4114yescomplemented
506#11924027—22no—
507#11924027—41no—
508#11924027—44no—
509C2×Dic146—22no—
510C2×Dic146—21no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—41no—
515C2×Dic146C2411yescharacteristic
516C2×Dic146C2411yescharacteristic
517C2×Dic146C2411yescharacteristic
518Q8×D73—22no—
519Q8×D73—41no—
520C2×D292—22no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—41no—
528C2×D292C2411yescharacteristic
529C2×D292C2411yescharacteristic
530C2×D292C2411yescharacteristic
531C2×C22⋊D73—21no—
532C2×C22⋊D73—24no—
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⋊D73C2×D411yescharacteristic
545C2×C22⋊D73C2×D411yescharacteristic
546C2×C22⋊D73C2×D411yescharacteristic
547C2×C22⋊D73C2×D411yescharacteristic
548D4×D73—22no—
549D4×D73—41no—
550D4×D73—44no—
551D4×D73—44no—
552C22×Dic73—21no—
553C22×Dic73—21no—
554C22×Dic73C2×D411yescharacteristic
555C22×Dic73C2×D411yescharacteristic
556C22×Dic73C2×D411yescharacteristic
557C2×C4×D73—21no—
558C2×C4×D73—22no—
559C2×C4×D73—22no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—44no—
573C2×C4×D73—44no—
574C2×C4×D73C2×D411yescharacteristic
575C2×C4×D73C2×D411yescharacteristic
576C2×C4×D73C2411yescharacteristic
577C2×C4×D73C2411yescharacteristic
578Dic292—22no—
579Dic292—41no—
580#11924018—41no—
581#11924017—22no—
582#11924017—22no—
583#11924017—41no—
584#11924017—41no—
585#11924016—41no—
586#11924015—41no—
587D584—22no—
588D584—41no—
589#11924013—41no—
590C2×#10596831—22no—
591C2×#10596831—22no—
592C2×#10596831—41no—
593C2×#10596831—41no—
594C2×#10596831—41no—
595C2×#10596831—41no—
596C2×#10596831C2411yescharacteristic
597C2×#10596831C2411yescharacteristic
598C2×#10596831C2411yescharacteristic
599C2×#10596831C2411yescharacteristic
600C8×D73—41no—
601C8×D73—41no—
602C8×D73—41no—
603C8×D73—41no—
604C4⋊Dic73—21no—
605C4⋊Dic73—21no—
606C4⋊Dic73—21no—
607C4⋊Dic73—21no—
608C4⋊Dic73—21no—
609C4⋊Dic73—21no—
610C4⋊Dic73C2411yescharacteristic
611C4⋊Dic73C2411yescharacteristic
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007C2×D411yescharacteristic
627#11924007C2×D411yescharacteristic
628#11924007C2×D411yescharacteristic
629#11924007C2×D411yescharacteristic
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73C2×D411yescharacteristic
636C22⋊Dic73C2×D411yescharacteristic
637C22⋊Dic73C2×D411yescharacteristic
638C22⋊Dic73C2×D411yescharacteristic
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005C2×D411yescharacteristic
658#11924005C2×D411yescharacteristic
659#11924005C2×D411yescharacteristic
660#11924005C2×D411yescharacteristic
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73—21no—
667C4×Dic73—21no—
668C4×Dic73C2×D411yescharacteristic
669C4×Dic73C2×D411yescharacteristic
670C4×Dic73C2411yescharacteristic
671C4×Dic73C2411yescharacteristic
672C24×C73C2×D411yescharacteristic
673#41×C73—22no—
674#41×C73—22no—
675C2×Q8×C73C2411yescharacteristic
676C2×D4×C73—21no—
677C2×D4×C73—21no—
678C2×D4×C73—21no—
679C2×D4×C73C2411yescharacteristic
680C22×C4×C73—22no—
681C22×C4×C73—22no—
682C22×C4×C73—21no—
683C22×C4×C73—21no—
684C22×C4×C73—21no—
685C22×C4×C73C2×D411yescharacteristic
686C22×C4×C73C2×D411yescharacteristic
687C22×C4×C73C2×D411yescharacteristic
688C22×C4×C73C2411yescharacteristic
689C22×C4×C73C2411yescharacteristic
690C22×C4×C73C2411yescharacteristic
691C2×C8×C73—22no—
692C2×C8×C73—22no—
693C2×C8×C73C2411yescharacteristic
694C2×C8×C73C2411yescharacteristic
695C2×C8×C73C2411yescharacteristic
696C2×C8×C73C2411yescharacteristic
697C4⋊C4×C73—21no—
698C4⋊C4×C73—21no—
699C4⋊C4×C73—21no—
700C4⋊C4×C73—21no—
701C4⋊C4×C73C2411yescharacteristic
702C4⋊C4×C73C2411yescharacteristic
703C4⋊C4×C73C2411yescharacteristic
704C4⋊C4×C73C2411yescharacteristic
705C4⋊C4×C73C2411yescharacteristic
706C4⋊C4×C73C2411yescharacteristic
707C22⋊C4×C73—21no—
708C22⋊C4×C73—21no—
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C42×C73—21no—
717C42×C73—21no—
718C42×C73—21no—
719C42×C73—21no—
720C42×C73—21no—
721C23×C73—22no—
722C23×C73—22no—
723C23×C73—21no—
724C23×C73—41no—
725C23×C73C22×D411yescharacteristic
726C23×C73C22×D411yescharacteristic
727C23×C73C22×D411yescharacteristic
728C22×D73—22no—
729C22×D73—21no—
730C22×D73—22no—
731C22×D73—21no—
732C22×D73—21no—
733C22×D73—41no—
734C22×D73—42no—
735C22×D73—42no—
736C22×D73—42no—
737C22×D73—42no—
738C22×D73—81no—
739C22×D73—81no—
740C22×D73C22×D411yescharacteristic
741C22×D73C22×D411yescharacteristic
742Q8×C73—21no—
743Q8×C73—21no—
744D4×C73—21no—
745D4×C73—21no—
746D4×C73—42no—
747D4×C73—42no—
748D4×C73—81no—
749C2×C4×C73—22no—
750C2×C4×C73—22no—
751C2×C4×C73—22no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—42no—
764C2×C4×C73—42no—
765C2×C4×C73—81no—
766C2×C4×C73C22×D411yescharacteristic
767C2×C4×C73C22×D411yescharacteristic
768C2×C4×C73C22×D411yescharacteristic
769C2×C4×C73C2×#4112yes—
770C2×C4×C73H(5,𝔽2)12yes—
771C2×C4×C73C2511yescharacteristic
772C22⋊D73—24no—
773C22⋊D73—22no—
774C22⋊D73—22no—
775C22⋊D73—22no—
776C22⋊D73—42no—
777C22⋊D73—42no—
778C22⋊D73—42no—
779C22⋊D73—42no—
780C22⋊D73—42no—
781C22⋊D73—42no—
782C22⋊D73—42no—
783C22⋊D73—42no—
784C22⋊D73—81no—
785C22⋊D73—81no—
786C22⋊D73#13514yescomplemented
787C2×Dic73—22no—
788C2×Dic73—21no—
789C2×Dic73—22no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—21no—
794C2×Dic73—41no—
795C2×Dic73—42no—
796C2×Dic73—42no—
797C2×Dic73C22×D411yescharacteristic
798C2×Dic73C22×D411yescharacteristic
799C2×Dic73C22×D411yescharacteristic
800C2×Dic73C22×D411yescharacteristic
801C2×Dic73C22×D411yescharacteristic
802C2×Dic73C22×D411yescharacteristic
803D292—21no—
804D292—21no—
805D292—21no—
806D292—21no—
807D292—21no—
808D292—42no—
809D292—42no—
810D292—42no—
811D292—42no—
812D292—81no—
813D292—81no—
814D292C2×#4112yes—
815C4×D73—22no—
816C4×D73—22no—
817C4×D73—24no—
818C4×D73—21no—
819C4×D73—21no—
820C4×D73—21no—
821C4×D73—21no—
822C4×D73—42no—
823C4×D73—42no—
824C4×D73—42no—
825C4×D73—42no—
826C4×D73—42no—
827C4×D73—42no—
828C4×D73—42no—
829C4×D73—42no—
830C4×D73—42no—
831C4×D73—81no—
832C4×D73—81no—
833C4×D73—81no—
834Dic146—21no—
835Dic146—21no—
836Dic146—21no—
837Dic146—21no—
838Dic146—21no—
839Dic146—42no—
840Dic146—42no—
841Dic146—42no—
842Dic146—81no—
843Dic146C2×#4112yes—
844C8×C73—21no—
845C8×C73—21no—
846C8×C73—21no—
847C8×C73—21no—
848#10596831—21no—
849#10596831—21no—
850#10596831—21no—
851#10596831—21no—
852C22×C73—21no—
853C22×C73—21no—
854C22×C73—21no—
855C22×C73—21no—
856C22×C73—21no—
857C22×C73—21no—
858C22×C73—21no—
859C22×C73—44no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73#54612yes—
864C22×C73C2×#13512yes—
865C22×C73C23×D411yescharacteristic
866C2×D73—21no—
867C2×D73—21no—
868C2×D73—21no—
869C2×D73—21no—
870C2×D73—22no—
871C2×D73—21no—
872C2×D73—44no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—84no—
882C2×D73—84no—
883C2×D73C2×#13512yes—
884C4×C73—21no—
885C4×C73—21no—
886C4×C73—41no—
887C4×C73—41no—
888C4×C73—41no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73—41no—
892C4×C73—41no—
893C4×C73#54612yes—
894C4×C73C22×#4111yescharacteristic
895C4×C73C2×H(5,𝔽2)11yescharacteristic
896Dic73—21no—
897Dic73—21no—
898Dic73—22no—
899Dic73—21no—
900Dic73—21no—
901Dic73—21no—
902Dic73—41no—
903Dic73—41no—
904Dic73—41no—
905Dic73—41no—
906Dic73C2×#13512yes—
907#61124—731nomaximal, Sylow
908C2×C73—22no—
909C2×C73—22no—
910C2×C73—41no—
911C2×C73—81no—
912C2×C73C2×#54611yescharacteristic
913C2×C73C22×#13511yescharacteristic
914C2×C73#358411yescharacteristic
915D73—22no—
916D73—41no—
917D73—42no—
918D73—81no—
919D73—81no—
920#3475—731no—
921D4×#41—731no—
922#3305—731no—
923#3304—731no—
924#3303—731no—
925#3302—731no—
926#3301—731no—
927#3301—731no—
928#3300—731no—
929#3300—731no—
930#3299—731no—
931#3298—731no—
932#3297—731no—
933#3297—731no—
934#3296—731no—
935#3296—731no—
936#3295—731no—
937#3294—731no—
938#3131—731no—
939#3091—731no—
940#3091D7311yescharacteristic, complemented
941#3076—731no—
942#3050—731no—
943#3050—731no—
944#3035—731no—
945#3002—731no—
946#3002—731no—
947C4×#135—731no—
948C2×C8×D4—731no—
949C2×#416—731no—
950C2×#416—731no—
951C73#6112411yescharacteristic, complemented, Sylow
952C22×#41—731no—
953C22×#41—731no—
954C2×#135—731no—
955C2×#135—731no—
956C2×#135—731no—
957C23×C8—731no—
958C23×C8—731no—
959#556—731no—
960#555—731no—
961#554—731no—
962#553—731no—
963#553—731no—
964#552—731no—
965#552—731no—
966#552—1461no—
967#551—1461no—
968#551—1461no—
969#550—731no—
970D4×Q8—731no—
971#548—731no—
972#548—731no—
973#547—731no—
974#547—731no—
975#547—1461no—
976#546—731no—
977#546—731no—
978#546—1461no—
979#546—1461no—
980#546—1461no—
981D42—731no—
982D42—1461no—
983#533—731no—
984#532—731no—
985#532—1461no—
986#529—1461no—
987#529—1461no—
988#529—1461no—
989#525—731no—
990#525—731no—
991#525—731no—
992#525—1461no—
993#525—1461no—
994#525C2×D7311yescharacteristic
995C4×#41—731no—
996C4×#41—731no—
997C4×#41—1461no—
998C2×C4×D4—731no—
999C2×C4×D4—1461no—
1000C2×#117—731no—
1001C2×#117C2×D7311yescharacteristic, complemented
1002#488—731no—
1003#488—731no—
1004#488—731no—
1005#488—731no—
1006#487—731no—
1007#487—731no—
1008#486—731no—
1009#486—731no—
1010#485—731no—
1011#485—731no—
1012#485C2×D7311yescharacteristic, complemented
1013#485C2×D7311yescharacteristic, complemented
1014#484—731no—
1015#484C2×D7311yescharacteristic, complemented
1016#483—731no—
1017#483C2×D7311yescharacteristic, complemented
1018#482—731no—
1019#482—731no—
1020#482C2×D7311yescharacteristic, complemented
1021#482C2×D7311yescharacteristic, complemented
1022#481—731no—
1023#481C2×D7311yescharacteristic, complemented
1024#480—731no—
1025#480C2×D7311yescharacteristic, complemented
1026#479—731no—
1027#479—731no—
1028#478—731no—
1029#478—731no—
1030#477—731no—
1031#476—731no—
1032#475—731no—
1033#474—731no—
1034#467—731no—
1035#467—731no—
1036#467—731no—
1037#467—731no—
1038#466—731no—
1039#466—731no—
1040#466—731no—
1041#466—731no—
1042#465—731no—
1043#465—731no—
1044#465—731no—
1045#465—731no—
1046#465—731no—
1047#465—731no—
1048#465—731no—
1049#465—731no—
1050#464—731no—
1051#464—731no—
1052#463—731no—
1053#463—731no—
1054#462—731no—
1055#461—731no—
1056#460—731no—
1057#459—731no—
1058#452—731no—
1059#452—731no—
1060#452—731no—
1061#452—731no—
1062#451—731no—
1063#451—731no—
1064#450—731no—
1065#450—731no—
1066#449—731no—
1067#449—731no—
1068#449—731no—
1069#449—731no—
1070#448—731no—
1071#448—731no—
1072#447—731no—
1073#447—731no—
1074C4×Q16—731no—
1075C4×Q16—731no—
1076C4×SD16—731no—
1077C4×SD16—731no—
1078C4×SD16—731no—
1079C4×SD16—731no—
1080C4×D8—731no—
1081C4×D8—731no—
1082C8×D4—731no—
1083C8×D4—731no—
1084C8×D4—731no—
1085C8×D4—731no—
1086C8×D4—731no—
1087C8×D4—731no—
1088C8×D4—731no—
1089C8×D4—731no—
1090#427—731no—
1091#427C2×D7311yescharacteristic, complemented
1092#427C2×D7311yescharacteristic, complemented
1093C2×C4⋊C8—731no—
1094#416—731no—
1095#416—731no—
1096#416—731no—
1097#416—731no—
1098#416—731no—
1099#416—731no—
1100#416—731no—
1101#416—731no—
1102#416—731no—
1103#416—731no—
1104#416—731no—
1105#416—731no—
1106#416—731no—
1107#416—731no—
1108#416—731no—
1109#416—731no—
1110#416C2×D7311yescharacteristic, complemented
1111#416C2×D7311yescharacteristic, complemented
1112C2×#103—731no—
1113C2×#103—731no—
1114C2×#103—731no—
1115C2×#103—731no—
1116C2×#102—731no—
1117C2×#102—731no—
1118C2×#102—731no—
1119C2×#102—731no—
1120C2×C22⋊C8—731no—
1121C2×C22⋊C8C2×D7311yescharacteristic, complemented
1122C2×C4×C8—731no—
1123C2×#41—2922no—
1124C2×#41—2922no—
1125C2×#41—731no—
1126C2×#41—731no—
1127C2×#41—731no—
1128C2×#41—731no—
1129C2×#41—731no—
1130C2×#41—731no—
1131C2×#41—731no—
1132C2×#41—1464no—
1133C2×#41—1461no—
1134C2×#41—1461no—
1135C2×#41—1464no—
1136C2×#41—1461no—
1137C2×#41—1461no—
1138C2×#41—1461no—
1139C2×#41C22×D7311yescharacteristic
1140C22×Q8—731no—
1141C22×Q8—731no—
1142C22×D4—731no—
1143C22×D4—731no—
1144C22×D4—731no—
1145C22×D4—1461no—
1146C22×D4—1461no—
1147C22×D4—1461no—
1148C23×C4—731no—
1149C23×C4—1461no—
1150C23×C4—1461no—
1151C23×C4C22×D7311yescharacteristic
1152#135—2922no—
1153#135—2922no—
1154#135—1464no—
1155C2×Q16—731no—
1156C2×Q16—731no—
1157C2×Q16—731no—
1158C2×SD16—731no—
1159C2×SD16—731no—
1160C2×SD16—731no—
1161C2×SD16—731no—
1162C2×SD16—731no—
1163C2×SD16—731no—
1164C2×D8—731no—
1165C2×D8—731no—
1166C2×D8—731no—
1167C22×C8—2922no—
1168C22×C8—2922no—
1169C22×C8—731no—
1170C22×C8—731no—
1171C22×C8—731no—
1172C22×C8—731no—
1173C22×C8—731no—
1174C22×C8—731no—
1175C22×C8—731no—
1176C22×C8—731no—
1177C22×C8—731no—
1178C22×C8—731no—
1179C22×C8C22×D7311yescharacteristic
1180C22×C8C22×D7311yescharacteristic
1181C4⋊Q8—731no—
1182C4⋊Q8—731no—
1183C4⋊Q8—731no—
1184C4⋊Q8—1461no—
1185#127—731no—
1186#127—1461no—
1187#126—1461no—
1188#126—1461no—
1189#126—1461no—
1190#126—1461no—
1191#126—1461no—
1192#126—1461no—
1193#125—731no—
1194#125—731no—
1195#125—1461no—
1196#125—1461no—
1197#125—1461no—
1198#124—731no—
1199#124—731no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124—1461no—
1204#124—1461no—
1205#123—21no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209#123—1461no—
1210#123—1461no—
1211#123—1461no—
1212#123—1461no—
1213#123—1461no—
1214#123—1461no—
1215#123—1461no—
1216#123—1461no—
1217#123—1461no—
1218#123—1461no—
1219C22⋊Q8—731no—
1220C22⋊Q8—731no—
1221C22⋊Q8—731no—
1222C22⋊Q8—731no—
1223C22⋊Q8—731no—
1224C22⋊Q8—731no—
1225C22⋊Q8—1461no—
1226C22⋊Q8—1461no—
1227C22⋊Q8—1461no—
1228C22⋊Q8—1461no—
1229C22⋊Q8—1461no—
1230C22⋊Q8—1461no—
1231C22⋊Q8—1461no—
1232C22⋊Q8—1461no—
1233C22⋊Q8—1461no—
1234C22⋊Q8C22×D7311yescharacteristic
1235C22⋊Q8C22×D7311yescharacteristic
1236#121—731no—
1237#121—731no—
1238#121—731no—
1239#121—731no—
1240#121—731no—
1241#121—731no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121C22×D7311yescharacteristic
1256#121C22×D7311yescharacteristic
1257#120—21no—
1258#120—1461no—
1259#120—1461no—
1260#120—1461no—
1261#120—1461no—
1262#120—1461no—
1263#120—1461no—
1264#120—1461no—
1265C4×Q8—731no—
1266C4×Q8—731no—
1267C4×Q8—731no—
1268C4×Q8—731no—
1269C4×Q8—1461no—
1270C4×Q8—1461no—
1271C4×Q8—1461no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—731no—
1284C4×D4—731no—
1285C4×D4—731no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4—1461no—
1302C4×D4—1461no—
1303C4×D4—1461no—
1304C4×D4—1461no—
1305#117—21no—
1306#117—21no—
1307#117—731no—
1308#117—731no—
1309#117—731no—
1310#117—1461no—
1311#117—1461no—
1312#117—1461no—
1313#117—1461no—
1314#117—1461no—
1315#117—1461no—
1316#117—1461no—
1317#117C22×D7311yescharacteristic
1318#117C22×D7311yescharacteristic
1319#117C22×D7311yescharacteristic
1320#117C22×D7311yescharacteristic
1321#117C22×D7311yescharacteristic
1322C2×C4⋊C4—731no—
1323C2×C4⋊C4—731no—
1324C2×C4⋊C4—731no—
1325C2×C4⋊C4—1461no—
1326C2×C4⋊C4C22×D7311yescharacteristic
1327C2×C4⋊C4C22×D7311yescharacteristic
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—731no—
1330C2×C22⋊C4—731no—
1331C2×C22⋊C4—1461no—
1332C2×C22⋊C4—1461no—
1333C2×C22⋊C4—1461no—
1334C2×C42—21no—
1335C2×C42—731no—
1336C2×C42—1461no—
1337C2×C42—1461no—
1338C2×C42—1461no—
1339#107—731no—
1340#107—731no—
1341#107C22×D7311yescharacteristic
1342#107C22×D7311yescharacteristic
1343#107C22×D7311yescharacteristic
1344#107C22×D7311yescharacteristic
1345#106—731no—
1346#106—731no—
1347#106C22×D7311yescharacteristic
1348#106C22×D7311yescharacteristic
1349#106C22×D7311yescharacteristic
1350#106C22×D7311yescharacteristic
1351C4⋊C8—731no—
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8—731no—
1355#103—731no—
1356#103—731no—
1357#103—731no—
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103—731no—
1366#103—731no—
1367#103—731no—
1368#103—731no—
1369#103—731no—
1370#103—731no—
1371#103C22×D7311yescharacteristic
1372#103C22×D7311yescharacteristic
1373#103C22×D7311yescharacteristic
1374#103C22×D7311yescharacteristic
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102C22×D7311yescharacteristic
1392#102C22×D7311yescharacteristic
1393#102C22×D7311yescharacteristic
1394#102C22×D7311yescharacteristic
1395C22⋊C8—731no—
1396C22⋊C8—731no—
1397C22⋊C8—731no—
1398C22⋊C8—731no—
1399C22⋊C8C22×D7311yescharacteristic
1400C22⋊C8C22×D7311yescharacteristic
1401C22⋊C8C22×D7311yescharacteristic
1402C22⋊C8C22×D7311yescharacteristic
1403C4×C8—731no—
1404C4×C8—731no—
1405C4×C8—731no—
1406C4×C8—731no—
1407C24—731no—
1408C24—1461no—
1409C24—1461no—
1410C24D4×D7311yescharacteristic
1411#41—22no—
1412#41—22no—
1413#41—2924no—
1414#41—2921no—
1415#41—2921no—
1416#41—2924no—
1417#41—2924no—
1418#41—2924no—
1419#41—2921no—
1420#41—2924no—
1421#41—2921no—
1422#41—734no—
1423#41—1462no—
1424#41—1462no—
1425#41—1462no—
1426#41—1462no—
1427#41—1462no—
1428#41—1462no—
1429#41—1462no—
1430#41—1462no—
1431#41—1462no—
1432C2×Q8—2921no—
1433C2×Q8—2921no—
1434C2×Q8—731no—
1435C2×Q8—731no—
1436C2×Q8—731no—
1437C2×Q8—1462no—
1438C2×Q8—1461no—
1439C2×Q8—1461no—
1440C2×Q8—1461no—
1441C2×Q8—1462no—
1442C2×Q8—1461no—
1443C2×Q8C23×D7311yescharacteristic
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—2921no—
1448C2×D4—2924no—
1449C2×D4—2924no—
1450C2×D4—2924no—
1451C2×D4—2921no—
1452C2×D4—731no—
1453C2×D4—731no—
1454C2×D4—731no—
1455C2×D4—731no—
1456C2×D4—731no—
1457C2×D4—731no—
1458C2×D4—731no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1462no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1462no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1464no—
1477C2×D4—1461no—
1478C2×D4—1461no—
1479C2×D4C23×D7311yescharacteristic
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—2924no—
1486C22×C4—2924no—
1487C22×C4—731no—
1488C22×C4—731no—
1489C22×C4—731no—
1490C22×C4—731no—
1491C22×C4—731no—
1492C22×C4—731no—
1493C22×C4—731no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1462no—
1510C22×C4—1462no—
1511C22×C4D4×D7311yescharacteristic
1512C22×C4D4×D7311yescharacteristic
1513C22×C4D4×D7311yescharacteristic
1514C22×C4C23×D7311yescharacteristic
1515C22×C4C23×D7311yescharacteristic
1516C22×C4C23×D7311yescharacteristic
1517Q16—2921no—
1518Q16—2921no—
1519Q16—1462no—
1520SD16—2921no—
1521SD16—2921no—
1522SD16—2921no—
1523SD16—2921no—
1524SD16—1462no—
1525SD16—1462no—
1526D8—2921no—
1527D8—2921no—
1528D8—1462no—
1529C2×C8—22no—
1530C2×C8—22no—
1531C2×C8—2921no—
1532C2×C8—2921no—
1533C2×C8—2921no—
1534C2×C8—2921no—
1535C2×C8—2921no—
1536C2×C8—2921no—
1537C2×C8—2921no—
1538C2×C8—2921no—
1539C2×C8—731no—
1540C2×C8—731no—
1541C2×C8—731no—
1542C2×C8—731no—
1543C2×C8—1462no—
1544C2×C8—1462no—
1545C2×C8C23×D7311yescharacteristic
1546C2×C8C23×D7311yescharacteristic
1547C2×C8C23×D7311yescharacteristic
1548C2×C8C23×D7311yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—731no—
1554C4⋊C4—731no—
1555C4⋊C4—731no—
1556C4⋊C4—731no—
1557C4⋊C4—731no—
1558C4⋊C4—731no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4C23×D7311yescharacteristic
1580C4⋊C4C23×D7311yescharacteristic
1581C4⋊C4C23×D7311yescharacteristic
1582C4⋊C4C23×D7311yescharacteristic
1583C4⋊C4C23×D7311yescharacteristic
1584C4⋊C4C23×D7311yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—731no—
1595C22⋊C4—731no—
1596C22⋊C4—731no—
1597C22⋊C4—731no—
1598C22⋊C4—731no—
1599C22⋊C4—731no—
1600C22⋊C4—731no—
1601C22⋊C4—731no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C42—21no—
1626C42—21no—
1627C42—21no—
1628C42—21no—
1629C42—21no—
1630C42—731no—
1631C42—731no—
1632C42—731no—
1633C42—731no—
1634C42—1461no—
1635C42—1461no—
1636C42—1461no—
1637C42—1461no—
1638C42—1461no—
1639C42—1461no—
1640C42—1461no—
1641C23—22no—
1642C23—22no—
1643C23—21no—
1644C23—41no—
1645C23—2921no—
1646C23—2922no—
1647C23—2922no—
1648C23—2922no—
1649C23—2922no—
1650C23—5841no—
1651C23—5841no—
1652C23—731no—
1653C23—731no—
1654C23—1462no—
1655C23—1461no—
1656C23—1461no—
1657C23—1461no—
1658C23—1462no—
1659C23C2×D4×D7311yescharacteristic
1660C23C2×D4×D7311yescharacteristic
1661C23C2×D4×D7311yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—2922no—
1665Q8—2922no—
1666Q8—2922no—
1667Q8—5841no—
1668Q8—732no—
1669Q8—1461no—
1670Q8—1461no—
1671Q8—1461no—
1672Q8—1461no—
1673Q8—1461no—
1674D4—21no—
1675D4—21no—
1676D4—42no—
1677D4—42no—
1678D4—81no—
1679D4—2922no—
1680D4—2922no—
1681D4—2922no—
1682D4—2922no—
1683D4—2922no—
1684D4—2922no—
1685D4—2922no—
1686D4—2922no—
1687D4—2922no—
1688D4—2922no—
1689D4—2922no—
1690D4—2922no—
1691D4—5841no—
1692D4—5841no—
1693D4—5841no—
1694D4—5841no—
1695D4—734no—
1696D4—732no—
1697D4—1462no—
1698D4—1462no—
1699D4—1464no—
1700D4—1462no—
1701D4—1461no—
1702D4—1461no—
1703D4—1461no—
1704D4—1461no—
1705D4—1461no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—42no—
1721C2×C4—42no—
1722C2×C4—81no—
1723C2×C4—2922no—
1724C2×C4—2922no—
1725C2×C4—2922no—
1726C2×C4—2922no—
1727C2×C4—2922no—
1728C2×C4—2922no—
1729C2×C4—2922no—
1730C2×C4—2922no—
1731C2×C4—2922no—
1732C2×C4—2922no—
1733C2×C4—2921no—
1734C2×C4—2922no—
1735C2×C4—5841no—
1736C2×C4—5841no—
1737C2×C4—5841no—
1738C2×C4—731no—
1739C2×C4—731no—
1740C2×C4—731no—
1741C2×C4—731no—
1742C2×C4—731no—
1743C2×C4—731no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4—1461no—
1748C2×C4—1462no—
1749C2×C4—1461no—
1750C2×C4—1462no—
1751C2×C4—1461no—
1752C2×C4—1461no—
1753C2×C4—1461no—
1754C2×C4—1461no—
1755C2×C4—1462no—
1756C2×C4—1464no—
1757C2×C4—1462no—
1758C2×C4C2×D4×D7311yescharacteristic
1759C2×C4C2×D4×D7311yescharacteristic
1760C2×C4C2×D4×D7311yescharacteristic
1761C2×C4#41×D7312yes—
1762C2×C4#1455663712yes—
1763C2×C4C24×D7311yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1461no—
1769C8—1461no—
1770C8—1461no—
1771C8—1461no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—44no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—2924no—
1784C22—2921no—
1785C22—2921no—
1786C22—2921no—
1787C22—2921no—
1788C22—2921no—
1789C22—2921no—
1790C22—2921no—
1791C22—2921no—
1792C22—5844no—
1793C22—5844no—
1794C22—732no—
1795C22—1461no—
1796C22—1462no—
1797C22—1461no—
1798C22—1461no—
1799C22—1461no—
1800C22—1461no—
1801C22#1798922912yes—
1802C22#135×D7312yes—
1803C22C22×D4×D7311yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—2921no—
1814C4—2921no—
1815C4—2921no—
1816C4—2921no—
1817C4—732no—
1818C4—1461no—
1819C4—1461no—
1820C4—1462no—
1821C4—1461no—
1822C4—1461no—
1823C4—1461no—
1824C4#1798922912yes—
1825C4C2×#41×D7311yescharacteristic
1826C4C2×#1455663711yescharacteristic
1827C2—22no—
1828C2—22no—
1829C2—41no—
1830C2—81no—
1831C2—2921no—
1832C2—2922no—
1833C2—5841no—
1834C2—5841no—
1835C2—1462no—
1836C2C2×#1798922911yescharacteristic
1837C2C2×#135×D7311yescharacteristic
1838C2#2262470411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3091C2
socleC22×C73C23×D4
hypercenter#3091D73
hypocenterC73#61124
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3091

Complements

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

NH ≅ G/Ntype
1. #22623485C2semidirect
2. #22623414C2semidirect
3. #22621879C2semidirect
4. #22621868C2semidirect
5. #22621857C2semidirect
6. #22621846C2semidirect
7. #22621836C2semidirect
8. #22621831C2semidirect
9. #22621821C2semidirect
10. #22621816C2semidirect
11. #22621805C2semidirect
12. #22621794C2semidirect
13. #22621784C2semidirect
14. #22621779C2semidirect
15. #22621769C2semidirect
16. #22621764C2semidirect
17. #22621753C2semidirect
18. #22621742C2semidirect
19. #22620251C2semidirect
20. #22619848C2semidirect
21. #22619717C2semidirect
22. #22619513C2semidirect
23. #22619509C2semidirect
24. #22619384C2semidirect
25. #22619153C2semidirect
26. #22619151C2semidirect
27. #22618702C2semidirect
28. C2×#17988650C2semidirect
29. C2×#17988581C2semidirect
30. #416×D73C2semidirect
31. C73×#3091C2semidirect
35. C2×#14556613C22semidirect
36. C2×#14556611C22semidirect
37. C23×#10596831C22semidirect
38. C22×C8×D73C22semidirect
39. #17989305C22semidirect
40. #17989300C22semidirect
42. #17989285C22semidirect
43. #17989281C22semidirect
44. #17989276C22semidirect
45. #17989272C22semidirect
63. #17989140C22semidirect
70. #17989099C22semidirect
71. #17989098C22semidirect
76. #17989055C22semidirect
79. #117×D73C22semidirect
80. #17988943C22semidirect
81. #17988943C22semidirect
82. #17988940C22semidirect
83. #17988940C22semidirect
84. #17988936C22semidirect
85. #17988936C22semidirect
86. #17988932C22semidirect
87. #17988932C22semidirect
88. #17988931C22semidirect
89. #17988930C22semidirect
90. #17988924C22semidirect
91. #17988919C22semidirect
92. #17988914C22semidirect
93. #17988913C22semidirect
94. #17988907C22semidirect
95. #17988902C22semidirect
96. #17988897C22semidirect
97. #17988893C22semidirect
98. #17988890C22semidirect
99. #17988886C22semidirect
100. #17988881C22semidirect
101. #17988876C22semidirect
102. #17988871C22semidirect
103. #17988866C22semidirect
104. #17988829C22semidirect
105. #17988829C22semidirect
106. #17988826C22semidirect
107. #17988826C22semidirect
108. #17988824C22semidirect
109. #17988824C22semidirect
110. #17988821C22semidirect
111. #17988821C22semidirect
112. #17988818C22semidirect
113. #17988818C22semidirect
114. #17988817C22semidirect
115. #17988817C22semidirect
116. #17988817C22semidirect
117. #17988817C22semidirect
118. #17988814C22semidirect
119. #17988814C22semidirect
120. #17988812C22semidirect
121. #17988808C22semidirect
122. #17988805C22semidirect
123. #17988801C22semidirect
124. #17988796C22semidirect
125. #17988791C22semidirect
126. #17988786C22semidirect
127. #17988781C22semidirect
128. #17988752C22semidirect
129. #17988751C22semidirect
130. #17988751C22semidirect
131. #17988750C22semidirect
132. #17988745C22semidirect
133. #17988744C22semidirect
134. #17988740C22semidirect
135. #17988739C22semidirect
136. #17988735C22semidirect
137. #17988734C22semidirect
138. #17988734C22semidirect
139. #17988733C22semidirect
140. #17988728C22semidirect
141. #17988727C22semidirect
142. #17988723C22semidirect
143. #17988722C22semidirect
144. #17988681C22semidirect
145. #17988681C22semidirect
146. #17988674C22semidirect
147. #17988674C22semidirect
148. #17988674C22semidirect
149. #17988674C22semidirect
150. #17988669C22semidirect
151. #17988669C22semidirect
154. #17988650C22semidirect
155. #17988650C22semidirect
156. #17988650C22semidirect
157. #17988650C22semidirect
158. #17988650C22semidirect
159. #17988650C22semidirect
160. #17988623C22semidirect
161. C2×#14556520C22semidirect
163. #17988584C22semidirect
164. #17988583C22semidirect
165. #17988582C22semidirect
166. #17988582C22semidirect
169. #17988581C22semidirect
170. #17988581C22semidirect
171. #17988581C22semidirect
172. #17988581C22semidirect
173. #17988581C22semidirect
174. #17988581C22semidirect
175. #17988581C22semidirect
176. #17988580C22semidirect
177. #17988580C22semidirect
178. C2×#14556514C22semidirect
179. C2×#14556514C22semidirect
180. #103×D73C22semidirect
181. #103×D73C22semidirect
182. C2×#14556511C22semidirect
183. C2×#14556511C22semidirect
184. #102×D73C22semidirect
185. #102×D73C22semidirect
186. C2×#14556503C22semidirect
187. C2×C8×Dic73C22semidirect
189. C2×#117×C73C22semidirect
190. #485×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #483×C73C22semidirect
194. #482×C73C22semidirect
195. #482×C73C22semidirect
196. #481×C73C22semidirect
197. #480×C73C22semidirect
198. #427×C73C22semidirect
199. #427×C73C22semidirect
200. #416×C73C22semidirect
201. #416×C73C22semidirect
202. C2×C22⋊C8×C73C22semidirect
505. #11924028#41semidirect
786. C22⋊D73#135semidirect
940. #3091D73semidirect
951. C73#61124semidirect
1001. C2×#117C2×D73semidirect
1012. #485C2×D73semidirect
1013. #485C2×D73semidirect
1015. #484C2×D73semidirect
1017. #483C2×D73semidirect
1020. #482C2×D73semidirect
1021. #482C2×D73semidirect
1023. #481C2×D73semidirect
1025. #480C2×D73semidirect
1091. #427C2×D73semidirect
1092. #427C2×D73semidirect
1110. #416C2×D73semidirect
1111. #416C2×D73semidirect
1121. C2×C22⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226234852
#226234142
#226218792
#226218682
#226218572
#226218462
#226218362
#226218312
#226218212
#226218162
#226218052
#226217942
#226217842
#226217792
#226217692
#226217642
#226217532
#226217422
#226202512
#226198482
#226197172
#226195132
#226195092
#226193842
#226191532
#226191512
#226187022
C2×#179886502
C2×#179885812
#416×D732
C73×#30912
#6112473