Finite Group Databasebeta

← #33964150

Subgroups — #33964150

Order 18688.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1890 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623777C211yesmaximal, characteristic, complemented
2#22623691C211yesmaximal, characteristic, complemented
3#22622232C211yesmaximal, characteristic, complemented
4#22622231C211yesmaximal, characteristic, complemented
5#22622169C211yesmaximal, characteristic, complemented
6#22622168C211yesmaximal, characteristic, complemented
7#22622137C211yesmaximal, characteristic, complemented
8#22622134C211yesmaximal, characteristic, complemented
9#22622131C211yesmaximal, characteristic, complemented
10#22621857C211yesmaximal, characteristic, complemented
11#22621852C211yesmaximal, characteristic, complemented
12#22621788C211yesmaximal, characteristic, complemented
13#22621781C211yesmaximal, characteristic, complemented
14#22621778C211yesmaximal, characteristic, complemented
15#22621775C211yesmaximal, characteristic, complemented
16#22621742C211yesmaximal, characteristic, complemented
17#22621737C211yesmaximal, characteristic, complemented
18#22620252C211yesmaximal, characteristic, complemented
19#22619912C211yesmaximal, characteristic, complemented
20#22619904C211yesmaximal, characteristic, complemented
21#22619726C211yesmaximal, characteristic, complemented
22#22619608C211yesmaximal, characteristic, complemented
23#22619606C211yesmaximal, characteristic, complemented
24#22619393C211yesmaximal, characteristic, complemented
25#22619196C211yesmaximal, characteristic, complemented
26#22619194C211yesmaximal, characteristic, complemented
27C4×D8×D73C211yesmaximal, characteristic, complemented
28#22618640C211yesmaximal, characteristic, complemented
29#22618456C211yesmaximal, characteristic, complemented
30#22618455C211yesmaximal, characteristic, complemented
31C73×#3322C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#14556636C2211yescharacteristic
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556615C2211yescharacteristic, complemented
36C2×D8×D73C2211yescharacteristic
37C2×#14556599C2211yescharacteristic, complemented
38C2×#14556599C2211yescharacteristic, complemented
39#17989321—21no—
40#17989320—21no—
41#17989304—21no—
42#17989301C2211yescharacteristic, complemented
43#17989300C2211yescharacteristic, complemented
44#17989290C2211yescharacteristic, complemented
45#17989287C2211yescharacteristic, complemented
46#17989283C2211yescharacteristic, complemented
47#17989255—21no—
48#17989239C2211yescharacteristic, complemented
49#17989238C2211yescharacteristic, complemented
50#17989237C2211yescharacteristic, complemented
51#17989236C2211yescharacteristic, complemented
52#17989235—21no—
53#17989233C2211yescharacteristic, complemented
54#17989232C2211yescharacteristic, complemented
55#17989230C2211yescharacteristic, complemented
56#17989227—21no—
57#17989226—21no—
58#17989221C2211yescharacteristic, complemented
59D4×C22⋊D73C2211yescharacteristic, complemented
60#17989219—21no—
61#17989176—21no—
62#17989169—21no—
63#17989167C2211yescharacteristic
64#17989166C2211yescharacteristic
65#17989153C2211yescharacteristic, complemented
66#17989153C2211yescharacteristic, complemented
67#17989148—21no—
68#17989147—21no—
69#17989143C2211yescharacteristic, complemented
70#17989136C2211yescharacteristic
71#17989134C2211yescharacteristic
72#17989096—21no—
73#17989095—21no—
74C2×#14556564—21no—
75#121×D73—21no—
76#17989068C2211yescharacteristic, complemented
77#17989067C2211yescharacteristic, complemented
78C4×D4×D73C2211yescharacteristic
79C4×D4×D73C2211yescharacteristic, complemented
80#17988944C2211yescharacteristic, complemented
81#17988942C2211yescharacteristic, complemented
82#17988941C2211yescharacteristic, complemented
83#17988936C2211yescharacteristic, complemented
84#17988936C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic, complemented
87#17988930C2211yescharacteristic, complemented
88#17988929C2211yescharacteristic, complemented
89#17988927C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988922C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988920C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988908C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic, complemented
99#17988901C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988887C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic, complemented
105#17988875C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic, complemented
107#17988865C2211yescharacteristic, complemented
108#17988840C2211yescharacteristic, complemented
109#17988839C2211yescharacteristic, complemented
110#17988839C2211yescharacteristic, complemented
111#17988836C2211yescharacteristic, complemented
112#17988833C2211yescharacteristic, complemented
113#17988832C2211yescharacteristic, complemented
114#17988824C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic, complemented
116#17988821C2211yescharacteristic, complemented
117#17988820C2211yescharacteristic, complemented
118#17988818C2211yescharacteristic, complemented
119#17988817C2211yescharacteristic, complemented
120#17988814C2211yescharacteristic, complemented
121#17988813C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988799C2211yescharacteristic, complemented
125#17988791C2211yescharacteristic, complemented
126#17988790C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988780C2211yescharacteristic, complemented
129#17988735C2211yescharacteristic, complemented
130#17988734C2211yescharacteristic, complemented
131#17988733C2211yescharacteristic, complemented
132#17988732C2211yescharacteristic, complemented
133#17988731C2211yescharacteristic, complemented
134#17988730C2211yescharacteristic, complemented
135#17988729C2211yescharacteristic, complemented
136#17988723C2211yescharacteristic, complemented
137#17988722C2211yescharacteristic, complemented
138#17988722C2211yescharacteristic, complemented
139#17988721C2211yescharacteristic, complemented
140#17988720C2211yescharacteristic, complemented
141#17988719C2211yescharacteristic, complemented
142#17988719C2211yescharacteristic, complemented
143C4×D584C2211yescharacteristic, complemented
144D8×Dic73C2211yescharacteristic, complemented
145#17988669C2211yescharacteristic, complemented
146C4×#11924013C2211yescharacteristic, complemented
147C4×#11924013C2211yescharacteristic, complemented
148#17988667C2211yescharacteristic, complemented
149#17988667C2211yescharacteristic, complemented
150#17988666C2211yescharacteristic, complemented
151#17988663C2211yescharacteristic, complemented
152#17988663C2211yescharacteristic, complemented
153D4×#10596831C2211yescharacteristic, complemented
154#17988652C2211yescharacteristic, complemented
155#17988650C2211yescharacteristic, complemented
156#17988650C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic, complemented
158#17988626C2211yescharacteristic, complemented
159#107×D73C2211yescharacteristic, complemented
160#17988609C2211yescharacteristic, complemented
161#17988593C2211yescharacteristic, complemented
162#17988590C2211yescharacteristic
163#17988590C2211yescharacteristic
164#17988590C2211yescharacteristic, complemented
165#17988590C2211yescharacteristic, complemented
166#17988589C2211yescharacteristic, complemented
167#17988587C2211yescharacteristic, complemented
168#17988587C2211yescharacteristic, complemented
169#17988585C2211yescharacteristic, complemented
170#17988585C2211yescharacteristic, complemented
171#17988583C2211yescharacteristic, complemented
172#17988582C2211yescharacteristic, complemented
173#17988582C2211yescharacteristic, complemented
174#17988582C2211yescharacteristic, complemented
175#17988581C2211yescharacteristic, complemented
176#17988580C2211yescharacteristic, complemented
177#17988580C2211yescharacteristic, complemented
178#17988580C2211yescharacteristic, complemented
179C2×#14556512C2211yescharacteristic, complemented
180C2×#14556511C2211yescharacteristic, complemented
181#102×D73C2211yescharacteristic
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic, complemented
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
203#14556637—24no—
204#14556637—42no—
205#14556636—24no—
206#14556636—42no—
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924028—21no—
210C2×#11924028—21no—
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924027—21no—
215C2×#11924027—21no—
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C22×D292—21no—
219C22×D292C2311yescharacteristic
220C22×C22⋊D73—21no—
221C22×C22⋊D73—21no—
222C22×C22⋊D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C22×C4×D73—21no—
232C22×C4×D73—21no—
233#14556618—42no—
234#14556615—42no—
235C2×#11924017C2311yescharacteristic
236C2×#11924016C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238C2×D584C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244D8×D73—24no—
245#14556599—42no—
246#14556599—42no—
247C2×#11924011C2311yescharacteristic
248C2×#11924011C2311yescharacteristic
249C2×#11924011C2311yescharacteristic
250C2×#11924011C2311yescharacteristic
251C22×#10596831C2311yescharacteristic
252C22×#10596831C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254C2×C8×D73C2311yescharacteristic
255C2×C8×D73C2311yescharacteristic
256C2×C8×D73C2311yescharacteristic
257#14556590D411yescharacteristic
258#14556590C2311yescharacteristic
259#14556590C2311yescharacteristic
260#14556589C2311yescharacteristic
261#14556587—21no—
262#14556587—21no—
263#14556587D411yescharacteristic
264#14556587C2311yescharacteristic
265#14556586—21no—
266#14556586—21no—
267#14556584—21no—
268#14556583C2311yescharacteristic
269#14556579—21no—
270#14556579C2311yescharacteristic
271#14556578—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556577D411yescharacteristic
277#14556577D411yescharacteristic
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556575—21no—
283#14556574—21no—
284#14556574—21no—
285#14556574—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573—21no—
290#14556572—21no—
291#14556572—21no—
292#14556571C2311yescharacteristic
293#14556570C2311yescharacteristic
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556569—21no—
298#14556568—21no—
299#14556568—21no—
300#14556567C2311yescharacteristic
301#14556566—21no—
302#14556566—21no—
303#14556566D411yescharacteristic
304#14556566C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556566C2311yescharacteristic
307#14556565—21no—
308#14556565C2311yescharacteristic
309#14556565C2311yescharacteristic
310#14556565C2311yescharacteristic
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564D411yescharacteristic
323#14556564D411yescharacteristic
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556562—21no—
330#14556562D411yescharacteristic
331#14556562C2311yescharacteristic
332#14556562C2311yescharacteristic
333#14556562C2311yescharacteristic
334#14556561—21no—
335#14556561—21no—
336#14556561—21no—
337#14556561—21no—
338#14556561—21no—
339#14556560—21no—
340#14556559—21no—
341#14556559—21no—
342#14556559—21no—
343#14556559—21no—
344#14556559—21no—
345C4×Dic146—21no—
346#14556556—21no—
347#14556556—21no—
348#14556556—21no—
349C4×D292—21no—
350C4×D292C2311yescharacteristic
351C4×D292C2311yescharacteristic
352C4×D292C2311yescharacteristic
353D4×Dic73C2311yescharacteristic
354D4×Dic73C2311yescharacteristic
355#14556553—21no—
356#14556553—21no—
357#14556553C2311yescharacteristic
358#14556553C2311yescharacteristic
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73C2311yescharacteristic
365C4×C22⋊D73C2311yescharacteristic
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556550C2311yescharacteristic
374#14556549C2311yescharacteristic
375#14556549C2311yescharacteristic
376#14556549C2311yescharacteristic
377#14556549C2311yescharacteristic
378#14556548—21no—
379#14556547—21no—
380C2×C4⋊Dic73C2311yescharacteristic
381C2×#11924007—21no—
382C4⋊C4×D73—21no—
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic
385C4⋊C4×D73C2311yescharacteristic
386C4⋊C4×D73C2311yescharacteristic
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441C4×#10596831C2311yescharacteristic
442C8×Dic73C2311yescharacteristic
443C8×Dic73C2311yescharacteristic
444C2×#41×C73C2311yescharacteristic
445C22×D4×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×M16×C73C2311yescharacteristic
450C2×M16×C73C2311yescharacteristic
451#126×C73—21no—
452#125×C73C2311yescharacteristic
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
462#120×C73—21no—
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467#117×C73C2311yescharacteristic
468C2×C4⋊C4×C73C2311yescharacteristic
469C2×C22⋊C4×C73—21no—
470#107×C73C2311yescharacteristic
471#107×C73C2311yescharacteristic
472#106×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic
486C4×C8×C73C2311yescharacteristic
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490C23×D73—21no—
491C23×D73—21no—
492#11924029—22no—
493#11924029—22no—
494#11924029—22no—
495#11924029—41no—
496#11924028—22no—
497#11924028—22no—
498#11924028—22no—
499#11924028—22no—
500#11924028—22no—
501#11924028—41no—
502#11924028—44no—
503#11924028—82no—
504#11924027—22no—
505#11924027—22no—
506#11924027—22no—
507#11924027—41no—
508#11924027—44no—
509#11924027—82no—
510C2×Dic146—21no—
511C2×Dic146—21no—
512C2×Dic146C2×D411yescharacteristic
513C2×Dic146C2×D411yescharacteristic
514C2×Dic146C2411yescharacteristic
515C2×D292—22no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—41no—
523C2×D292—44no—
524C2×D292C2×D411yescharacteristic
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—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—44no—
546C2×C22⋊D73—44no—
547C2×C22⋊D73—82no—
548C2×C22⋊D73C2×D411yescharacteristic
549C2×C22⋊D73C2×D411yescharacteristic
550C2×C22⋊D73C2×D411yescharacteristic
551C2×C22⋊D73C2×D411yescharacteristic
552C2×C22⋊D73C2×D411yescharacteristic
553C2×C22⋊D73C2×D411yescharacteristic
554D4×D73—22no—
555D4×D73—22no—
556D4×D73—22no—
557D4×D73—22no—
558D4×D73—22no—
559D4×D73—41no—
560D4×D73—41no—
561D4×D73—44no—
562D4×D73—44no—
563D4×D73—44no—
564D4×D73—82no—
565D4×D73#4114yescomplemented
566C22×Dic73—21no—
567C22×Dic73—21no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
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×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—82no—
583C2×C4×D73—82no—
584C2×C4×D73C2×D411yescharacteristic
585C2×C4×D73C2×D411yescharacteristic
586C2×C4×D73C2411yescharacteristic
587C2×C4×D73C2411yescharacteristic
588C2×C4×D73C2411yescharacteristic
589#11924017—41no—
590#11924016—41no—
591#11924015—41no—
592D584—22no—
593D584—41no—
594#11924013—22no—
595#11924013—22no—
596#11924013—41no—
597#11924013—41no—
598#11924011—22no—
599#11924011—22no—
600#11924011—41no—
601#11924011—41no—
602C2×#10596831—41no—
603C2×#10596831—41no—
604C2×#10596831C2411yescharacteristic
605C2×#10596831C2411yescharacteristic
606C2×#10596831C2411yescharacteristic
607C2×#10596831C2411yescharacteristic
608C8×D73—22no—
609C8×D73—22no—
610C8×D73—41no—
611C8×D73—41no—
612C4⋊Dic73—21no—
613C4⋊Dic73—21no—
614C4⋊Dic73C2×D411yescharacteristic
615C4⋊Dic73C2411yescharacteristic
616C4⋊Dic73C2411yescharacteristic
617C4⋊Dic73C2411yescharacteristic
618C4⋊Dic73C2411yescharacteristic
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007C2×D411yescharacteristic
632#11924007C2×D411yescharacteristic
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73C2×D411yescharacteristic
641C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005C2×D411yescharacteristic
661#11924005C2×D411yescharacteristic
662#11924005C2×D411yescharacteristic
663#11924005C2×D411yescharacteristic
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73—21no—
667C4×Dic73—21no—
668C4×Dic73—21no—
669C4×Dic73C2×D411yescharacteristic
670C4×Dic73C2×D411yescharacteristic
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—81no—
729C23×C73—81no—
730C23×C73C22×D411yescharacteristic
731C23×C73C22×D411yescharacteristic
732C22×D73—21no—
733C22×D73—24no—
734C22×D73—21no—
735C22×D73—21no—
736C22×D73—42no—
737C22×D73—42no—
738C22×D73—42no—
739C22×D73—42no—
740C22×D73—81no—
741C22×D73—81no—
742C22×D73—81no—
743C22×D73—81no—
744C22×D73—81no—
745C22×D73—81no—
746C22×D73—81no—
747C22×D73—81no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73C22×D411yescharacteristic
751C22×D73C22×D411yescharacteristic
752C22×D73C22×D411yescharacteristic
753Q8×C73—21no—
754Q8×C73—21no—
755D4×C73—21no—
756D4×C73—21no—
757D4×C73—21no—
758D4×C73—21no—
759D4×C73—21no—
760D4×C73—41no—
761D4×C73—42no—
762D4×C73—42no—
763D4×C73—81no—
764D4×C73—81no—
765D4×C73—81no—
766D4×C73C2×#4112yes—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—42no—
777C2×C4×C73—81no—
778C2×C4×C73—81no—
779C2×C4×C73—81no—
780C2×C4×C73C22×D411yescharacteristic
781C2×C4×C73C22×D411yescharacteristic
782C2×C4×C73C22×D411yescharacteristic
783C2×C4×C73C22×D411yescharacteristic
784C2×C4×C73C2511yescharacteristic
785C22⋊D73—22no—
786C22⋊D73—22no—
787C22⋊D73—24no—
788C22⋊D73—22no—
789C22⋊D73—22no—
790C22⋊D73—22no—
791C22⋊D73—22no—
792C22⋊D73—42no—
793C22⋊D73—42no—
794C22⋊D73—42no—
795C22⋊D73—42no—
796C22⋊D73—42no—
797C22⋊D73—42no—
798C22⋊D73—42no—
799C22⋊D73—81no—
800C22⋊D73—81no—
801C22⋊D73—81no—
802C22⋊D73—81no—
803C22⋊D73—81no—
804C22⋊D73—81no—
805C22⋊D73—81no—
806C2×Dic73—21no—
807C2×Dic73—21no—
808C2×Dic73—21no—
809C2×Dic73—21no—
810C2×Dic73—21no—
811C2×Dic73—42no—
812C2×Dic73—42no—
813C2×Dic73—42no—
814C2×Dic73—42no—
815C2×Dic73—81no—
816C2×Dic73C22×D411yescharacteristic
817C2×Dic73C22×D411yescharacteristic
818C2×Dic73C22×D411yescharacteristic
819C2×Dic73C22×D411yescharacteristic
820C2×Dic73C22×D411yescharacteristic
821D292—22no—
822D292—22no—
823D292—21no—
824D292—21no—
825D292—21no—
826D292—21no—
827D292—21no—
828D292—41no—
829D292—42no—
830D292—42no—
831D292—42no—
832D292—81no—
833D292—81no—
834D292—81no—
835D292C2×#4112yes—
836C4×D73—21no—
837C4×D73—21no—
838C4×D73—21no—
839C4×D73—21no—
840C4×D73—22no—
841C4×D73—41no—
842C4×D73—42no—
843C4×D73—42no—
844C4×D73—42no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—81no—
848C4×D73—81no—
849C4×D73—81no—
850C4×D73—81no—
851C4×D73—81no—
852C4×D73—81no—
853C4×D73C2×#4112yes—
854C4×D73H(5,𝔽2)12yes—
855Dic146—22no—
856Dic146—22no—
857Dic146—21no—
858Dic146—21no—
859Dic146—42no—
860Dic146—81no—
861C8×C73—21no—
862C8×C73—21no—
863C8×C73—21no—
864C8×C73—21no—
865#10596831—21no—
866#10596831—21no—
867#10596831—21no—
868#10596831—21no—
869C22×C73—21no—
870C22×C73—21no—
871C22×C73—22no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—41no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—162no—
885C22×C73C23×D411yescharacteristic
886C2×D73—21no—
887C2×D73—21no—
888C2×D73—21no—
889C2×D73—21no—
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—22no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—41no—
896C2×D73—41no—
897C2×D73—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—84no—
904C2×D73—84no—
905C2×D73—162no—
906C2×D73—162no—
907C2×D73—162no—
908C2×D73#54612yes—
909C4×C73—21no—
910C4×C73—21no—
911C4×C73—21no—
912C4×C73—21no—
913C4×C73—41no—
914C4×C73—41no—
915C4×C73—41no—
916C4×C73—41no—
917C4×C73—41no—
918C4×C73C22×#4111yescharacteristic
919C4×C73C2×H(5,𝔽2)11yescharacteristic
920Dic73—21no—
921Dic73—21no—
922Dic73—21no—
923Dic73—41no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928Dic73#54612yes—
929Dic73#57612yes—
930#61211—731nomaximal, Sylow
931C2×C73—42no—
932C2×C73—41no—
933C2×C73—41no—
934C2×C73—81no—
935C2×C73—81no—
936C2×C73C2×#54611yescharacteristic
937C2×C73C2×#57611yescharacteristic
938C2×C73#358411yescharacteristic
939D73—22no—
940D73—41no—
941D73—41no—
942D73—42no—
943D73—81no—
944D73—81no—
945#3506—731no—
946#3496—731no—
947#3330—731no—
948#3330—731no—
949#3325—731no—
950#3325—731no—
951#3322—731no—
952#3322—731no—
953#3322—731no—
954#3322D7311yescharacteristic, complemented
955#3303—731no—
956#3303—731no—
957#3297—731no—
958#3297—731no—
959#3297—731no—
960#3297—731no—
961#3294—731no—
962#3294—731no—
963#3131—731no—
964#3098—731no—
965#3098—731no—
966#3077—731no—
967#3062—731no—
968#3062—731no—
969#3036—731no—
970#3008—731no—
971#3008—731no—
972C2×C4×D8—731no—
973#2931—731no—
974#2897—731no—
975#2897—731no—
976C73#6121111yescharacteristic, complemented, Sylow
977C2×H(5,𝔽2)—731no—
978C2×H(5,𝔽2)—731no—
979C2×AGL(1,ℤ/8)—731no—
980C2×AGL(1,ℤ/8)—731no—
981C22×D8—731no—
982C2×#131—731no—
983C2×#131—731no—
984#559—1461no—
985#559—1461no—
986#556—1461no—
987#555—731no—
988#555—731no—
989#553—731no—
990#553—731no—
991#553—731no—
992#553C2×D7311yescharacteristic, complemented
993#550—1461no—
994#547—731no—
995#547—731no—
996#547—731no—
997#547—731no—
998#547—1461no—
999#546—731no—
1000#546—731no—
1001#546—731no—
1002#546—1461no—
1003#546—1461no—
1004#546C2×D7311yescharacteristic, complemented
1005D42—731no—
1006D42—731no—
1007D42—1461no—
1008#538—1461no—
1009#538—1461no—
1010#537—731no—
1011#537—731no—
1012#535—731no—
1013#535—731no—
1014#534—1461no—
1015#534—1461no—
1016#533—731no—
1017#532—731no—
1018#532—731no—
1019#525—1461no—
1020#525—1461no—
1021C2×#121—1461no—
1022C2×#121—1461no—
1023#520—731no—
1024#520—731no—
1025C2×C4×D4—731no—
1026C2×C4×D4—731no—
1027#488—731no—
1028#488—731no—
1029#488—731no—
1030#488C2×D7311yescharacteristic, complemented
1031#487—731no—
1032#487—731no—
1033#486—731no—
1034#486—731no—
1035#485—731no—
1036#485—731no—
1037#485—731no—
1038#485C2×D7311yescharacteristic, complemented
1039#484—731no—
1040#484—731no—
1041#484—731no—
1042#484—731no—
1043#482—731no—
1044#482—731no—
1045#482—731no—
1046#482—731no—
1047#480—731no—
1048#480—731no—
1049#480—731no—
1050#480C2×D7311yescharacteristic, complemented
1051#478—731no—
1052#478—731no—
1053#478—731no—
1054#478C2×D7311yescharacteristic, complemented
1055#476—731no—
1056#476—731no—
1057#474—731no—
1058#474—731no—
1059#469—731no—
1060#469—731no—
1061#469—731no—
1062#469C2×D7311yescharacteristic, complemented
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468C2×D7311yescharacteristic, complemented
1067#466—731no—
1068#466—731no—
1069#466—731no—
1070#466—731no—
1071#465—731no—
1072#465—731no—
1073#465—731no—
1074#465—731no—
1075#463—731no—
1076#463—731no—
1077#463—731no—
1078#463C2×D7311yescharacteristic, complemented
1079#461—731no—
1080#461—731no—
1081#459—731no—
1082#459—731no—
1083#449—731no—
1084#449—731no—
1085#449—731no—
1086#449—731no—
1087#449—731no—
1088#449—731no—
1089#449—731no—
1090#449C2×D7311yescharacteristic, complemented
1091#447—731no—
1092#447—731no—
1093#447—731no—
1094#447—731no—
1095#447—731no—
1096#447—731no—
1097#447—731no—
1098#447C2×D7311yescharacteristic, complemented
1099C4×D8—731no—
1100C4×D8—731no—
1101C4×D8—731no—
1102C4×D8—731no—
1103C4×D8—731no—
1104C4×D8—731no—
1105C4×D8—731no—
1106C4×D8C2×D7311yescharacteristic, complemented
1107#436—731no—
1108#436—731no—
1109#436—731no—
1110#436C2×D7311yescharacteristic, complemented
1111C8×D4—731no—
1112C8×D4—731no—
1113C8×D4—731no—
1114C8×D4—731no—
1115#428—731no—
1116#428—731no—
1117C2×#107—731no—
1118#423—731no—
1119#418—731no—
1120#418—731no—
1121#418—731no—
1122#418—731no—
1123#418—731no—
1124#418C2×D7311yescharacteristic, complemented
1125#417—731no—
1126#417—731no—
1127#417—731no—
1128#417—731no—
1129#417—731no—
1130#417C2×D7311yescharacteristic, complemented
1131#416—731no—
1132#416—731no—
1133#416—731no—
1134#416—731no—
1135#416—731no—
1136#416—731no—
1137#416—731no—
1138#416—731no—
1139C2×#102—731no—
1140C2×#102—731no—
1141C2×#102—731no—
1142C2×#102—731no—
1143C2×#102—731no—
1144C2×#102—731no—
1145#408—731no—
1146#408—731no—
1147C2×C4×C8—731no—
1148H(5,𝔽2)—2922no—
1149H(5,𝔽2)—2922no—
1150H(5,𝔽2)—1464no—
1151H(5,𝔽2)—1464no—
1152C2×#41—731no—
1153C2×#41—731no—
1154C2×#41—731no—
1155C2×#41—731no—
1156C2×#41—731no—
1157C2×#41—731no—
1158C2×#41—731no—
1159C2×#41—1461no—
1160C2×#41—1461no—
1161C2×#41—1461no—
1162C2×#41—1461no—
1163C2×#41C22×D7311yescharacteristic
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—1461no—
1177C22×D4C22×D7311yescharacteristic
1178C23×C4—1461no—
1179C23×C4—1461no—
1180AGL(1,ℤ/8)—2922no—
1181AGL(1,ℤ/8)—2922no—
1182C2×SD16—731no—
1183C2×SD16—731no—
1184C2×SD16—731no—
1185C2×SD16C22×D7311yescharacteristic
1186C2×D8—731no—
1187C2×D8—731no—
1188C2×D8—731no—
1189C2×D8—731no—
1190C2×D8—731no—
1191C2×D8—731no—
1192C2×D8—1464no—
1193C2×D8C22×D7311yescharacteristic
1194C2×D8C22×D7311yescharacteristic
1195#131—2922no—
1196#131—2922no—
1197C2×M16—731no—
1198C2×M16—731no—
1199C2×M16—731no—
1200C2×M16—731no—
1201C2×M16C22×D7311yescharacteristic
1202C2×M16C22×D7311yescharacteristic
1203C22×C8—731no—
1204C22×C8—731no—
1205C22×C8—731no—
1206C22×C8—731no—
1207C22×C8—731no—
1208C22×C8—731no—
1209C4⋊Q8—731no—
1210C4⋊Q8—731no—
1211C4⋊Q8—731no—
1212C4⋊Q8—731no—
1213#127—731no—
1214#127—731no—
1215#127—1461no—
1216#127—1461no—
1217#126—21no—
1218#126—1461no—
1219#126—1461no—
1220#126—1461no—
1221#125—731no—
1222#125C22×D7311yescharacteristic
1223#124—731no—
1224#124—731no—
1225#124—731no—
1226#124—1461no—
1227#124—1461no—
1228#124—1461no—
1229#124—1461no—
1230#124—1461no—
1231#124—1461no—
1232#124C22×D7311yescharacteristic
1233#123—21no—
1234#123—21no—
1235#123—1461no—
1236#123—1461no—
1237#123—1461no—
1238#123—1461no—
1239#123—1461no—
1240#123—1461no—
1241#123—1461no—
1242#123—1461no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249C22⋊Q8—731no—
1250C22⋊Q8—731no—
1251C22⋊Q8—731no—
1252C22⋊Q8—1461no—
1253C22⋊Q8—1461no—
1254C22⋊Q8—1461no—
1255C22⋊Q8—1461no—
1256C22⋊Q8—1461no—
1257C22⋊Q8—1461no—
1258C22⋊Q8C22×D7311yescharacteristic
1259#121—21no—
1260#121—21no—
1261#121—731no—
1262#121—731no—
1263#121—731no—
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—731no—
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#121—1461no—
1289#121—1461no—
1290#121—1461no—
1291#121—1461no—
1292#121—1461no—
1293#121—1461no—
1294#121C22×D7311yescharacteristic
1295#121C22×D7311yescharacteristic
1296#121C22×D7311yescharacteristic
1297#120—21no—
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—
1309C4×Q8—1461no—
1310C4×Q8—1461no—
1311C4×Q8—1461no—
1312C4×Q8—1461no—
1313C4×D4—21no—
1314C4×D4—731no—
1315C4×D4—731no—
1316C4×D4—731no—
1317C4×D4—731no—
1318C4×D4—731no—
1319C4×D4—731no—
1320C4×D4—731no—
1321C4×D4—731no—
1322C4×D4—731no—
1323C4×D4—1461no—
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×D4—1461no—
1337C4×D4—1461no—
1338C4×D4C22×D7311yescharacteristic
1339C4×D4C22×D7311yescharacteristic
1340C4×D4C22×D7311yescharacteristic
1341#117—731no—
1342#117—731no—
1343#117—731no—
1344#117—731no—
1345#117—731no—
1346#117—1461no—
1347#117—1461no—
1348#117C22×D7311yescharacteristic
1349C2×C4⋊C4—731no—
1350C2×C4⋊C4—731no—
1351C2×C4⋊C4—731no—
1352C2×C4⋊C4—731no—
1353C2×C4⋊C4—731no—
1354C2×C4⋊C4—1461no—
1355C2×C4⋊C4—1461no—
1356C2×C4⋊C4C22×D7311yescharacteristic
1357C2×C22⋊C4—21no—
1358C2×C22⋊C4—1461no—
1359C2×C22⋊C4—1461no—
1360C2×C22⋊C4—1461no—
1361C2×C22⋊C4—1461no—
1362C2×C22⋊C4—1461no—
1363C2×C42—731no—
1364#107—731no—
1365#107—731no—
1366#107—731no—
1367#107—731no—
1368#107—731no—
1369#107—731no—
1370#107C22×D7311yescharacteristic
1371#107C22×D7311yescharacteristic
1372#106—731no—
1373#106—731no—
1374#106—731no—
1375#106C22×D7311yescharacteristic
1376C4⋊C8—731no—
1377C4⋊C8—731no—
1378C4⋊C8—731no—
1379C4⋊C8C22×D7311yescharacteristic
1380#103—731no—
1381#103—731no—
1382#103—731no—
1383#103—731no—
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103C22×D7311yescharacteristic
1390#103C22×D7311yescharacteristic
1391#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1414#102C22×D7311yescharacteristic
1415#102C22×D7311yescharacteristic
1416#102C22×D7311yescharacteristic
1417#102C22×D7311yescharacteristic
1418#102C22×D7311yescharacteristic
1419#102C22×D7311yescharacteristic
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8—731no—
1424C22⋊C8—731no—
1425C22⋊C8—731no—
1426C22⋊C8C22×D7311yescharacteristic
1427C22⋊C8C22×D7311yescharacteristic
1428C4×C8—731no—
1429C4×C8—731no—
1430C4×C8—731no—
1431C4×C8C22×D7311yescharacteristic
1432C24—21no—
1433C24—1461no—
1434C24—1461no—
1435C24—1461no—
1436C24—1461no—
1437C24—1461no—
1438#41—22no—
1439#41—41no—
1440#41—2921no—
1441#41—2924no—
1442#41—2924no—
1443#41—2921no—
1444#41—2921no—
1445#41—5842no—
1446#41—5842no—
1447#41—1462no—
1448#41—1462no—
1449#41—1462no—
1450#41—1462no—
1451#41—1462no—
1452#41—1462no—
1453#41—1462no—
1454#41—1462no—
1455#41—1462no—
1456#41—1462no—
1457#41—1462no—
1458C2×Q8—731no—
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—2924no—
1473C2×D4—2924no—
1474C2×D4—2924no—
1475C2×D4—2924no—
1476C2×D4—2924no—
1477C2×D4—2924no—
1478C2×D4—2921no—
1479C2×D4—2921no—
1480C2×D4—5842no—
1481C2×D4—5842no—
1482C2×D4—734no—
1483C2×D4—731no—
1484C2×D4—731no—
1485C2×D4—731no—
1486C2×D4—731no—
1487C2×D4—731no—
1488C2×D4—731no—
1489C2×D4—731no—
1490C2×D4—731no—
1491C2×D4—731no—
1492C2×D4—731no—
1493C2×D4—731no—
1494C2×D4—731no—
1495C2×D4—1461no—
1496C2×D4—1461no—
1497C2×D4—1462no—
1498C2×D4—1461no—
1499C2×D4—1461no—
1500C2×D4—1461no—
1501C2×D4—1462no—
1502C2×D4—1462no—
1503C2×D4—1462no—
1504C2×D4—1461no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1462no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1462no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4D4×D7311yescharacteristic
1523C2×D4C23×D7311yescharacteristic
1524C2×D4C23×D7311yescharacteristic
1525C2×D4C23×D7311yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—5842no—
1531C22×C4—5842no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4—1461no—
1552C22×C4—1461no—
1553C22×C4C23×D7311yescharacteristic
1554C22×C4C23×D7311yescharacteristic
1555SD16—41no—
1556SD16—2921no—
1557SD16—2921no—
1558SD16—2921no—
1559D8—22no—
1560D8—41no—
1561D8—2921no—
1562D8—2921no—
1563D8—2921no—
1564D8—1462no—
1565D8—1462no—
1566D8—1462no—
1567M16—41no—
1568M16—41no—
1569M16—2921no—
1570M16—2921no—
1571M16—1462no—
1572M16—1462no—
1573C2×C8—2921no—
1574C2×C8—2921no—
1575C2×C8—2921no—
1576C2×C8—2921no—
1577C2×C8—731no—
1578C2×C8—731no—
1579C2×C8—731no—
1580C2×C8—731no—
1581C2×C8—1462no—
1582C2×C8—1462no—
1583C2×C8C23×D7311yescharacteristic
1584C2×C8C23×D7311yescharacteristic
1585C2×C8C23×D7311yescharacteristic
1586C2×C8C23×D7311yescharacteristic
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
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—1461no—
1633C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1658C22⋊C4D4×D7311yescharacteristic
1659C42—21no—
1660C42—731no—
1661C42—731no—
1662C42—731no—
1663C42—1461no—
1664C42—1461no—
1665C42—1461no—
1666C42—1461no—
1667C42—1461no—
1668C42C23×D7311yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—42no—
1673C23—81no—
1674C23—81no—
1675C23—2922no—
1676C23—2922no—
1677C23—2922no—
1678C23—2922no—
1679C23—5841no—
1680C23—5841no—
1681C23—5841no—
1682C23—5841no—
1683C23—5841no—
1684C23—5841no—
1685C23—5841no—
1686C23—5841no—
1687C23—5841no—
1688C23—5841no—
1689C23—731no—
1690C23—731no—
1691C23—731no—
1692C23—1464no—
1693C23—1461no—
1694C23—1461no—
1695C23—1461no—
1696C23C2×D4×D7311yescharacteristic
1697C23C2×D4×D7311yescharacteristic
1698Q8—21no—
1699Q8—21no—
1700Q8—2922no—
1701Q8—5841no—
1702Q8—1462no—
1703Q8—1462no—
1704Q8—1461no—
1705Q8—1461no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—41no—
1712D4—42no—
1713D4—42no—
1714D4—81no—
1715D4—81no—
1716D4—81no—
1717D4—2922no—
1718D4—2921no—
1719D4—2922no—
1720D4—2922no—
1721D4—2922no—
1722D4—2922no—
1723D4—2922no—
1724D4—2922no—
1725D4—2922no—
1726D4—2922no—
1727D4—2922no—
1728D4—5841no—
1729D4—5841no—
1730D4—5841no—
1731D4—5841no—
1732D4—5841no—
1733D4—5841no—
1734D4—5841no—
1735D4—5841no—
1736D4—5841no—
1737D4—5841no—
1738D4—732no—
1739D4—1462no—
1740D4—1462no—
1741D4—1464no—
1742D4—1462no—
1743D4—1462no—
1744D4—1462no—
1745D4—1462no—
1746D4—1462no—
1747D4—1462no—
1748D4—1461no—
1749D4—1461no—
1750D4—1461no—
1751D4—1461no—
1752D4—1461no—
1753D4#41×D7312yes—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—42no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—2922no—
1768C2×C4—2921no—
1769C2×C4—2922no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2922no—
1775C2×C4—2922no—
1776C2×C4—2922no—
1777C2×C4—5841no—
1778C2×C4—5841no—
1779C2×C4—5841no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—731no—
1785C2×C4—731no—
1786C2×C4—732no—
1787C2×C4—732no—
1788C2×C4—731no—
1789C2×C4—731no—
1790C2×C4—731no—
1791C2×C4—1462no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4C2×D4×D7311yescharacteristic
1802C2×C4C2×D4×D7311yescharacteristic
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C24×D7311yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—1461no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C22—21no—
1815C22—21no—
1816C22—22no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—162no—
1830C22—2921no—
1831C22—2921no—
1832C22—2921no—
1833C22—2921no—
1834C22—2921no—
1835C22—2921no—
1836C22—2921no—
1837C22—2921no—
1838C22—5844no—
1839C22—5844no—
1840C22—732no—
1841C22—11682no—
1842C22—11682no—
1843C22—11682no—
1844C22—1462no—
1845C22—1461no—
1846C22—1461no—
1847C22—1461no—
1848C22—1461no—
1849C22—1461no—
1850C22—1461no—
1851C22—1461no—
1852C22—1461no—
1853C22C22×D4×D7311yescharacteristic
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—21no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—2921no—
1864C4—2921no—
1865C4—2921no—
1866C4—2921no—
1867C4—2921no—
1868C4—732no—
1869C4—732no—
1870C4—1461no—
1871C4—1461no—
1872C4—1461no—
1873C4C2×#41×D7311yescharacteristic
1874C4H(5,𝔽2)×D7311yescharacteristic
1875C2—41no—
1876C2—41no—
1877C2—42no—
1878C2—81no—
1879C2—81no—
1880C2—2922no—
1881C2—2921no—
1882C2—2921no—
1883C2—5841no—
1884C2—5841no—
1885C2—1462no—
1886C2#546×D7311yescharacteristic
1887C2#576×D7311yescharacteristic
1888C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3322C2
socleC22×C73C23×D4
hypercenter#3322D73
hypocenterC73#61211
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. #22623777C2semidirect
2. #22623691C2semidirect
3. #22622232C2semidirect
4. #22622231C2semidirect
5. #22622169C2semidirect
6. #22622168C2semidirect
7. #22622137C2semidirect
8. #22622134C2semidirect
9. #22622131C2semidirect
10. #22621857C2semidirect
11. #22621852C2semidirect
12. #22621788C2semidirect
13. #22621781C2semidirect
14. #22621778C2semidirect
15. #22621775C2semidirect
16. #22621742C2semidirect
17. #22621737C2semidirect
18. #22620252C2semidirect
19. #22619912C2semidirect
20. #22619904C2semidirect
21. #22619726C2semidirect
22. #22619608C2semidirect
23. #22619606C2semidirect
24. #22619393C2semidirect
25. #22619196C2semidirect
26. #22619194C2semidirect
27. C4×D8×D73C2semidirect
28. #22618640C2semidirect
29. #22618456C2semidirect
30. #22618455C2semidirect
31. C73×#3322C2semidirect
34. C2×#14556618C22semidirect
35. C2×#14556615C22semidirect
37. C2×#14556599C22semidirect
38. C2×#14556599C22semidirect
42. #17989301C22semidirect
43. #17989300C22semidirect
44. #17989290C22semidirect
45. #17989287C22semidirect
46. #17989283C22semidirect
48. #17989239C22semidirect
49. #17989238C22semidirect
50. #17989237C22semidirect
51. #17989236C22semidirect
53. #17989233C22semidirect
54. #17989232C22semidirect
55. #17989230C22semidirect
58. #17989221C22semidirect
59. D4×C22⋊D73C22semidirect
65. #17989153C22semidirect
66. #17989153C22semidirect
69. #17989143C22semidirect
76. #17989068C22semidirect
77. #17989067C22semidirect
79. C4×D4×D73C22semidirect
80. #17988944C22semidirect
81. #17988942C22semidirect
82. #17988941C22semidirect
83. #17988936C22semidirect
84. #17988936C22semidirect
85. #17988932C22semidirect
86. #17988932C22semidirect
87. #17988930C22semidirect
88. #17988929C22semidirect
89. #17988927C22semidirect
90. #17988924C22semidirect
91. #17988922C22semidirect
92. #17988921C22semidirect
93. #17988920C22semidirect
94. #17988913C22semidirect
95. #17988911C22semidirect
96. #17988910C22semidirect
97. #17988908C22semidirect
98. #17988902C22semidirect
99. #17988901C22semidirect
100. #17988899C22semidirect
101. #17988888C22semidirect
102. #17988887C22semidirect
103. #17988884C22semidirect
104. #17988876C22semidirect
105. #17988875C22semidirect
106. #17988866C22semidirect
107. #17988865C22semidirect
108. #17988840C22semidirect
109. #17988839C22semidirect
110. #17988839C22semidirect
111. #17988836C22semidirect
112. #17988833C22semidirect
113. #17988832C22semidirect
114. #17988824C22semidirect
115. #17988821C22semidirect
116. #17988821C22semidirect
117. #17988820C22semidirect
118. #17988818C22semidirect
119. #17988817C22semidirect
120. #17988814C22semidirect
121. #17988813C22semidirect
122. #17988803C22semidirect
123. #17988802C22semidirect
124. #17988799C22semidirect
125. #17988791C22semidirect
126. #17988790C22semidirect
127. #17988781C22semidirect
128. #17988780C22semidirect
129. #17988735C22semidirect
130. #17988734C22semidirect
131. #17988733C22semidirect
132. #17988732C22semidirect
133. #17988731C22semidirect
134. #17988730C22semidirect
135. #17988729C22semidirect
136. #17988723C22semidirect
137. #17988722C22semidirect
138. #17988722C22semidirect
139. #17988721C22semidirect
140. #17988720C22semidirect
141. #17988719C22semidirect
142. #17988719C22semidirect
143. C4×D584C22semidirect
144. D8×Dic73C22semidirect
145. #17988669C22semidirect
146. C4×#11924013C22semidirect
147. C4×#11924013C22semidirect
148. #17988667C22semidirect
149. #17988667C22semidirect
150. #17988666C22semidirect
151. #17988663C22semidirect
152. #17988663C22semidirect
153. D4×#10596831C22semidirect
154. #17988652C22semidirect
155. #17988650C22semidirect
156. #17988650C22semidirect
157. #17988628C22semidirect
158. #17988626C22semidirect
159. #107×D73C22semidirect
160. #17988609C22semidirect
161. #17988593C22semidirect
164. #17988590C22semidirect
165. #17988590C22semidirect
166. #17988589C22semidirect
167. #17988587C22semidirect
168. #17988587C22semidirect
169. #17988585C22semidirect
170. #17988585C22semidirect
171. #17988583C22semidirect
172. #17988582C22semidirect
173. #17988582C22semidirect
174. #17988582C22semidirect
175. #17988581C22semidirect
176. #17988580C22semidirect
177. #17988580C22semidirect
178. #17988580C22semidirect
179. C2×#14556512C22semidirect
180. C2×#14556511C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. #17988552C22semidirect
186. #17988552C22semidirect
187. C4×C8×D73C22semidirect
188. #553×C73C22semidirect
189. #546×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
565. D4×D73#41semidirect
954. #3322D73semidirect
976. C73#61211semidirect
992. #553C2×D73semidirect
1004. #546C2×D73semidirect
1030. #488C2×D73semidirect
1038. #485C2×D73semidirect
1050. #480C2×D73semidirect
1054. #478C2×D73semidirect
1062. #469C2×D73semidirect
1066. #468C2×D73semidirect
1078. #463C2×D73semidirect
1090. #449C2×D73semidirect
1098. #447C2×D73semidirect
1106. C4×D8C2×D73semidirect
1110. #436C2×D73semidirect
1124. #418C2×D73semidirect
1130. #417C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237772
#226236912
#226222322
#226222312
#226221692
#226221682
#226221372
#226221342
#226221312
#226218572
#226218522
#226217882
#226217812
#226217782
#226217752
#226217422
#226217372
#226202522
#226199122
#226199042
#226197262
#226196082
#226196062
#226193932
#226191962
#226191942
C4×D8×D732
#226186402
#226184562
#226184552
C73×#33222
#6121173