Finite Group Databasebeta

← #33956853

Subgroups — #33956853

Order 18688.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623606C211yesmaximal, characteristic
2#536×D73C211yesmaximal, characteristic, complemented
3#22620826C211yesmaximal, characteristic, complemented
4#22620825C211yesmaximal, characteristic, complemented
5#22620824C211yesmaximal, characteristic, complemented
6#22620822C211yesmaximal, characteristic, complemented
7#22620811C211yesmaximal, characteristic, complemented
8#22620809C211yesmaximal, characteristic, complemented
9#22620807C211yesmaximal, characteristic, complemented
10#22620759C211yesmaximal, characteristic, complemented
11#22620756C211yesmaximal, characteristic, complemented
12#22620754C211yesmaximal, characteristic, complemented
13#22620751C211yesmaximal, characteristic, complemented
14#22620710C211yesmaximal, characteristic, complemented
15#22620707C211yesmaximal, characteristic, complemented
16#22620705C211yesmaximal, characteristic, complemented
17#22620702C211yesmaximal, characteristic, complemented
18#22619899C211yesmaximal, characteristic, complemented
19#22619893C211yesmaximal, characteristic, complemented
20#22619878C211yesmaximal, characteristic, complemented
21#22619843C211yesmaximal, characteristic, complemented
22#22619617C211yesmaximal, characteristic, complemented
23#22619615C211yesmaximal, characteristic, complemented
24#22619584C211yesmaximal, characteristic, complemented
25#22619581C211yesmaximal, characteristic, complemented
26#22619223C211yesmaximal, characteristic, complemented
27#22619223C211yesmaximal, characteristic, complemented
28#22619162C211yesmaximal, characteristic, complemented
29#451×D73C211yesmaximal, characteristic, complemented
30#22618379C211yesmaximal, characteristic, complemented
31C73×#3201C211yesmaximal, characteristic, complemented
32C2×#14556638C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C22×Q8×D73C2211yescharacteristic
35C2×#14556620C2211yescharacteristic, complemented
36C2×#14556620C2211yescharacteristic, complemented
37C2×Q16×D73C2211yescharacteristic, complemented
38C2×Q16×D73C2211yescharacteristic, complemented
39C2×#14556599C2211yescharacteristic
40C2×#14556597C2211yescharacteristic
41#17989250—21no—
42#17989243—21no—
43#17989239—21no—
44#17989237—21no—
45#17989237—21no—
46#17989234—21no—
47#17989226—21no—
48#17989226—21no—
49#17989166C2211yescharacteristic
50#17989166C2211yescharacteristic
51#17989163C2211yescharacteristic
52#17989162—21no—
53#17989161C2211yescharacteristic
54#17989160C2211yescharacteristic
55#17989160C2211yescharacteristic
56#17989160C2211yescharacteristic
57#17989160C2211yescharacteristic
58#17989160C2211yescharacteristic
59#17989160C2211yescharacteristic
60#17989159—21no—
61#17989159—21no—
62#17989158C2211yescharacteristic
63#17989158C2211yescharacteristic
64#17989157—21no—
65C4⋊Q8×D73—21no—
66#124×D73—21no—
67#17989097C2211yescharacteristic
68#17989097C2211yescharacteristic
69#17989094C2211yescharacteristic
70#123×D73—21no—
71#123×D73—21no—
72C2×#14556571C2211yescharacteristic
73C22⋊Q8×D73C2211yescharacteristic
74C22⋊Q8×D73C2211yescharacteristic
75C22⋊Q8×D73C2211yescharacteristic
76C22⋊Q8×D73C2211yescharacteristic
77C22⋊Q8×D73C2211yescharacteristic
78C22⋊Q8×D73C2211yescharacteristic
79#17989068C2211yescharacteristic
80#117×D73C2211yescharacteristic
81#17988931C2211yescharacteristic, complemented
82#17988930C2211yescharacteristic, complemented
83#17988929C2211yescharacteristic, complemented
84#17988929C2211yescharacteristic, complemented
85#17988929C2211yescharacteristic, complemented
86#17988929C2211yescharacteristic, complemented
87#17988928C2211yescharacteristic, complemented
88#17988928C2211yescharacteristic, complemented
89#17988927C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988925C2211yescharacteristic, complemented
92#17988925C2211yescharacteristic, complemented
93#17988925C2211yescharacteristic, complemented
94#17988924C2211yescharacteristic
95#17988924C2211yescharacteristic
96#17988924C2211yescharacteristic, complemented
97#17988922C2211yescharacteristic, complemented
98#17988921C2211yescharacteristic
99#17988921C2211yescharacteristic, complemented
100#17988919C2211yescharacteristic
101#17988919C2211yescharacteristic
102#17988919C2211yescharacteristic, complemented
103#17988917C2211yescharacteristic, complemented
104#17988916C2211yescharacteristic
105#17988916C2211yescharacteristic, complemented
106#17988908C2211yescharacteristic, complemented
107#17988904C2211yescharacteristic
108#17988899C2211yescharacteristic
109#17988846C2211yescharacteristic, complemented
110#17988846C2211yescharacteristic, complemented
111#17988845C2211yescharacteristic, complemented
112#17988845C2211yescharacteristic, complemented
113#17988844C2211yescharacteristic, complemented
114#17988844C2211yescharacteristic, complemented
115#17988844C2211yescharacteristic, complemented
116#17988843C2211yescharacteristic, complemented
117#17988843C2211yescharacteristic, complemented
118#17988843C2211yescharacteristic, complemented
119#17988842C2211yescharacteristic, complemented
120#17988832C2211yescharacteristic, complemented
121#17988831C2211yescharacteristic, complemented
122#17988830C2211yescharacteristic, complemented
123#17988829C2211yescharacteristic, complemented
124#17988829C2211yescharacteristic, complemented
125#17988828C2211yescharacteristic, complemented
126#17988828C2211yescharacteristic, complemented
127#17988827C2211yescharacteristic, complemented
128#17988827C2211yescharacteristic, complemented
129#17988827C2211yescharacteristic, complemented
130#17988826C2211yescharacteristic, complemented
131#17988826C2211yescharacteristic, complemented
132#17988826C2211yescharacteristic, complemented
133#17988825C2211yescharacteristic, complemented
134#17988815C2211yescharacteristic, complemented
135#17988814C2211yescharacteristic, complemented
136#17988813C2211yescharacteristic, complemented
137#17988750C2211yescharacteristic, complemented
138#17988750C2211yescharacteristic, complemented
139#17988749C2211yescharacteristic, complemented
140#17988749C2211yescharacteristic, complemented
141#17988746C2211yescharacteristic, complemented
142#17988746C2211yescharacteristic, complemented
143#17988745C2211yescharacteristic, complemented
144#17988745C2211yescharacteristic, complemented
145#17988745C2211yescharacteristic, complemented
146#17988745C2211yescharacteristic, complemented
147#17988744C2211yescharacteristic
148#17988744C2211yescharacteristic
149#17988744C2211yescharacteristic
150#17988744C2211yescharacteristic
151#17988744C2211yescharacteristic, complemented
152#17988744C2211yescharacteristic, complemented
153#17988743C2211yescharacteristic, complemented
154#17988743C2211yescharacteristic, complemented
155#17988742C2211yescharacteristic, complemented
156#17988742C2211yescharacteristic, complemented
157#17988742C2211yescharacteristic, complemented
158#17988741C2211yescharacteristic
159#17988741C2211yescharacteristic
160#17988741C2211yescharacteristic, complemented
161#17988741C2211yescharacteristic, complemented
162#17988725C2211yescharacteristic, complemented
163#17988724C2211yescharacteristic
164#17988724C2211yescharacteristic
165#17988628C2211yescharacteristic, complemented
166#17988626C2211yescharacteristic, complemented
167#17988624C2211yescharacteristic, complemented
168#17988622C2211yescharacteristic, complemented
169#17988594C2211yescharacteristic, complemented
170#17988594C2211yescharacteristic, complemented
171#17988594C2211yescharacteristic, complemented
172#17988594C2211yescharacteristic, complemented
173#17988580C2211yescharacteristic, complemented
174#17988580C2211yescharacteristic, complemented
175#103×D73C2211yescharacteristic, complemented
176#103×D73C2211yescharacteristic, complemented
177#17988554C2211yescharacteristic
178#17988552C2211yescharacteristic
179#17988552C2211yescharacteristic
180#17988552C2211yescharacteristic
181#17988552C2211yescharacteristic
182#17988550C2211yescharacteristic
183#17988549C2211yescharacteristic
184#17988549C2211yescharacteristic
185C2×#14556503C2211yescharacteristic
186C22⋊C8×D73C2211yescharacteristic
187C22⋊C8×D73C2211yescharacteristic
188#537×C73C2211yescharacteristic
189#536×C73C2211yescharacteristic
190#485×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#467×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#452×C73C2211yescharacteristic, complemented
200#451×C73C2211yescharacteristic, complemented
201#448×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic
203#14556638—42no—
204#14556638—42no—
205C2×#11924029D411yescharacteristic
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027D411yescharacteristic
213C2×#11924027D411yescharacteristic
214C2×#11924027D411yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217#41×D73—42no—
218#41×D73—42no—
219C22×Dic146—21no—
220C22×Dic146—21no—
221C22×Dic146C2311yescharacteristic
222C22×Dic146C2311yescharacteristic
223C2×Q8×D73—21no—
224C2×Q8×D73—21no—
225C2×Q8×D73—42no—
226C2×Q8×D73—42no—
227C2×Q8×D73D411yescharacteristic
228C2×Q8×D73C2311yescharacteristic
229C2×Q8×D73C2311yescharacteristic
230C2×Q8×D73C2311yescharacteristic
231C2×Q8×D73C2311yescharacteristic
232C2×Q8×D73C2311yescharacteristic
233C2×Q8×D73C2311yescharacteristic
234C2×D4×D73D411yescharacteristic
235C2×D4×D73D411yescharacteristic
236C2×D4×D73D411yescharacteristic
237C22×C4×D73—21no—
238C22×C4×D73C2311yescharacteristic
239C22×C4×D73C2311yescharacteristic
240C22×C4×D73C2311yescharacteristic
241#14556620—42no—
242#14556620—42no—
243C2×Dic292C2311yescharacteristic
244C2×Dic292C2311yescharacteristic
245C2×Dic292C2311yescharacteristic
246C2×Dic292C2311yescharacteristic
247C2×#11924018C2311yescharacteristic
248C2×#11924018C2311yescharacteristic
249C2×#11924018C2311yescharacteristic
250C2×#11924018C2311yescharacteristic
251C2×#11924018C2311yescharacteristic
252C2×#11924018C2311yescharacteristic
253Q16×D73—42no—
254Q16×D73—42no—
255C2×#11924016C2311yescharacteristic
256C2×#11924016C2311yescharacteristic
257#14556599—42no—
258#14556597—42no—
259C2×#11924012C2311yescharacteristic
260C2×#11924011C2311yescharacteristic
261C2×#11924011C2311yescharacteristic
262C2×#11924011C2311yescharacteristic
263C2×#11924011C2311yescharacteristic
264C22×#10596831C2311yescharacteristic
265C2×C8×D73C2311yescharacteristic
266C2×C8×D73C2311yescharacteristic
267C2×C8×D73C2311yescharacteristic
268C2×C8×D73C2311yescharacteristic
269#14556591—21no—
270#14556590—21no—
271#14556590—21no—
272#14556590—21no—
273#14556590—21no—
274#14556590—21no—
275#14556590—21no—
276#14556589—21no—
277#14556589—21no—
278#14556589—21no—
279#14556580—21no—
280#14556579—21no—
281#14556578—21no—
282#14556578—21no—
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556577—21no—
287#14556577—21no—
288#14556577—21no—
289#14556576—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576—21no—
295#14556575—21no—
296#14556575—21no—
297#14556574—21no—
298#14556574—21no—
299#14556573—21no—
300#14556573—21no—
301#14556573—21no—
302#14556573—21no—
303#14556573—21no—
304#14556573—21no—
305#14556573—21no—
306#14556573—21no—
307#14556572—21no—
308#14556572—21no—
309#14556572—21no—
310#14556572—21no—
311#14556572—21no—
312#14556571—21no—
313#14556571—21no—
314#14556571C2311yescharacteristic
315#14556571C2311yescharacteristic
316#14556571C2311yescharacteristic
317#14556571C2311yescharacteristic
318#14556571C2311yescharacteristic
319#14556571C2311yescharacteristic
320#14556571C2311yescharacteristic
321#14556571C2311yescharacteristic
322#14556570C2311yescharacteristic
323#14556570C2311yescharacteristic
324#14556570C2311yescharacteristic
325#14556570C2311yescharacteristic
326#14556570C2311yescharacteristic
327#14556570C2311yescharacteristic
328#14556570C2311yescharacteristic
329#14556570C2311yescharacteristic
330#14556569—21no—
331#14556569—21no—
332#14556569—21no—
333#14556569—21no—
334#14556569—21no—
335#14556569—21no—
336#14556568—21no—
337#14556568—21no—
338#14556568—21no—
339#14556568—21no—
340#14556568—21no—
341#14556568—21no—
342#14556568—21no—
343#14556568—21no—
344#14556567C2311yescharacteristic
345#14556567C2311yescharacteristic
346#14556567C2311yescharacteristic
347#14556567C2311yescharacteristic
348#14556567C2311yescharacteristic
349#14556567C2311yescharacteristic
350#14556564—21no—
351#14556564—21no—
352#14556563—21no—
353#14556563—21no—
354#14556562—21no—
355#14556562—21no—
356#14556562C2311yescharacteristic
357#14556562C2311yescharacteristic
358#14556559—21no—
359#14556559—21no—
360#14556559—21no—
361#14556556—21no—
362D4×Dic73—21no—
363D4×Dic73—21no—
364#14556553—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369#14556551—21no—
370#14556551—21no—
371#14556550C2311yescharacteristic
372#14556550C2311yescharacteristic
373#14556549C2311yescharacteristic
374#14556549C2311yescharacteristic
375#14556549C2311yescharacteristic
376#14556549C2311yescharacteristic
377#14556548—21no—
378#14556547—21no—
379C2×C4⋊Dic73—21no—
380C4⋊C4×D73—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73—21no—
383C4⋊C4×D73—21no—
384C4⋊C4×D73—21no—
385C4⋊C4×D73—21no—
386C4⋊C4×D73C2311yescharacteristic
387C4⋊C4×D73C2311yescharacteristic
388C4⋊C4×D73C2311yescharacteristic
389C4⋊C4×D73C2311yescharacteristic
390C2×#11924005—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396C22⋊C4×D73—21no—
397C22⋊C4×D73—21no—
398C42×D73—21no—
399#14556525C2311yescharacteristic
400#14556525C2311yescharacteristic
401#14556524C2311yescharacteristic
402#14556524C2311yescharacteristic
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556523C2311yescharacteristic
406#14556523C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409#14556522C2311yescharacteristic
410#14556522C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556516C2311yescharacteristic
417#14556516C2311yescharacteristic
418#14556516C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556515C2311yescharacteristic
421#14556515C2311yescharacteristic
422#14556515C2311yescharacteristic
423#14556515C2311yescharacteristic
424#14556515C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556514C2311yescharacteristic
427#14556514C2311yescharacteristic
428#14556514C2311yescharacteristic
429#14556514C2311yescharacteristic
430#14556514C2311yescharacteristic
431#14556514C2311yescharacteristic
432#14556514C2311yescharacteristic
433#14556512C2311yescharacteristic
434#14556512C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437C22⋊#10596831C2311yescharacteristic
438C22⋊#10596831C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556503C2311yescharacteristic
445#14556503C2311yescharacteristic
446#14556503C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C22×Q8×C73C2311yescharacteristic
450C2×Q16×C73C2311yescharacteristic
451C2×Q16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C4⋊Q8×C73—21no—
457#124×C73—21no—
458#123×C73—21no—
459#123×C73—21no—
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463C22⋊Q8×C73C2311yescharacteristic
464C22⋊Q8×C73C2311yescharacteristic
465C22⋊Q8×C73C2311yescharacteristic
466C22⋊Q8×C73C2311yescharacteristic
467#121×C73—21no—
468#121×C73—21no—
469#121×C73—21no—
470#121×C73C2311yescharacteristic
471#121×C73C2311yescharacteristic
472#117×C73C2311yescharacteristic
473C2×C4⋊C4×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476#106×C73C2311yescharacteristic
477#106×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73C2×D411yescharacteristic
491C23×D73C2×D411yescharacteristic
492C23×D73C2×D411yescharacteristic
493#11924029—42no—
494#11924028—22no—
495#11924028—22no—
496#11924028—22no—
497#11924028—22no—
498#11924028—41no—
499#11924028—41no—
500#11924028—44no—
501#11924027—22no—
502#11924027—22no—
503#11924027—41no—
504#11924027—41no—
505#11924027—42no—
506#11924027—42no—
507#11924027—42no—
508#11924027—44no—
509#11924027—44no—
510C2×Dic146—21no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146—41no—
519C2×Dic146—41no—
520C2×Dic146—41no—
521C2×Dic146—41no—
522C2×Dic146—44no—
523C2×Dic146—44no—
524C2×Dic146C2×D411yescharacteristic
525C2×Dic146C2×D411yescharacteristic
526C2×Dic146C2×D411yescharacteristic
527C2×Dic146C2411yescharacteristic
528C2×Dic146C2411yescharacteristic
529C2×Dic146C2411yescharacteristic
530C2×Dic146C2411yescharacteristic
531Q8×D73—22no—
532Q8×D73—22no—
533Q8×D73—22no—
534Q8×D73—22no—
535Q8×D73—22no—
536Q8×D73—22no—
537Q8×D73—42no—
538Q8×D73—41no—
539Q8×D73—41no—
540Q8×D73—41no—
541Q8×D73—41no—
542Q8×D73—41no—
543Q8×D73—41no—
544Q8×D73—44no—
545Q8×D73—44no—
546C2×D292C2×D411yescharacteristic
547C2×D292C2×D411yescharacteristic
548C2×D292C2×D411yescharacteristic
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73C2×D411yescharacteristic
554C2×C22⋊D73C2×D411yescharacteristic
555C2×C22⋊D73C2×D411yescharacteristic
556C2×C22⋊D73C2×D411yescharacteristic
557C2×C22⋊D73C2×D411yescharacteristic
558C2×C22⋊D73C2×D411yescharacteristic
559D4×D73—42no—
560D4×D73—42no—
561D4×D73—42no—
562C22×Dic73—21no—
563C22×Dic73—21no—
564C22×Dic73—21no—
565C22×Dic73—21no—
566C22×Dic73C2×D411yescharacteristic
567C22×Dic73C2×D411yescharacteristic
568C22×Dic73C2×D411yescharacteristic
569C2×C4×D73—22no—
570C2×C4×D73—22no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—41no—
582C2×C4×D73—41no—
583C2×C4×D73—41no—
584C2×C4×D73—41no—
585C2×C4×D73—44no—
586C2×C4×D73C2×D411yescharacteristic
587C2×C4×D73C2×D411yescharacteristic
588C2×C4×D73C2×D411yescharacteristic
589C2×C4×D73C2×D411yescharacteristic
590C2×C4×D73C2×D411yescharacteristic
591C2×C4×D73C2×D411yescharacteristic
592C2×C4×D73C2411yescharacteristic
593C2×C4×D73C2411yescharacteristic
594C2×C4×D73C2411yescharacteristic
595C2×C4×D73C2411yescharacteristic
596Dic292—41no—
597Dic292—41no—
598Dic292—41no—
599Dic292—41no—
600#11924018—41no—
601#11924018—41no—
602#11924018—41no—
603#11924018—41no—
604#11924018—41no—
605#11924018—41no—
606#11924016—41no—
607#11924016—41no—
608#11924012—41no—
609#11924011—22no—
610#11924011—22no—
611#11924011—41no—
612#11924011—41no—
613C2×#10596831—41no—
614C2×#10596831C2411yescharacteristic
615C2×#10596831C2411yescharacteristic
616C2×#10596831C2411yescharacteristic
617C2×#10596831C2411yescharacteristic
618C8×D73—22no—
619C8×D73—22no—
620C8×D73—41no—
621C8×D73—41no—
622C4⋊Dic73—21no—
623C4⋊Dic73—21no—
624C4⋊Dic73—21no—
625C4⋊Dic73—21no—
626C4⋊Dic73—21no—
627C4⋊Dic73—21no—
628C4⋊Dic73—21no—
629C4⋊Dic73—21no—
630C4⋊Dic73C2411yescharacteristic
631C4⋊Dic73C2411yescharacteristic
632C4⋊Dic73C2411yescharacteristic
633C4⋊Dic73C2411yescharacteristic
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007—21no—
640#11924007—21no—
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645#11924007—21no—
646#11924007—21no—
647#11924007—21no—
648#11924007—21no—
649#11924007—21no—
650#11924007—21no—
651#11924007—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73—21no—
657C22⋊Dic73—21no—
658C22⋊Dic73—21no—
659C22⋊Dic73—21no—
660C22⋊Dic73—21no—
661C22⋊Dic73—21no—
662C22⋊Dic73—21no—
663C22⋊Dic73—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005—21no—
677#11924005—21no—
678#11924005—21no—
679#11924005—21no—
680#11924005—21no—
681#11924005—21no—
682C4×Dic73—21no—
683C4×Dic73—21no—
684C4×Dic73—21no—
685C4×Dic73—21no—
686C4×Dic73—21no—
687C4×Dic73—21no—
688#41×C73—41no—
689#41×C73—41no—
690#41×C73—41no—
691#41×C73—41no—
692C2×Q8×C73—21no—
693C2×Q8×C73—41no—
694C2×Q8×C73—41no—
695C2×Q8×C73C2×D411yescharacteristic
696C2×Q8×C73C2411yescharacteristic
697C2×Q8×C73C2411yescharacteristic
698C2×Q8×C73C2411yescharacteristic
699C2×D4×C73—21no—
700C2×D4×C73—21no—
701C2×D4×C73—21no—
702C2×D4×C73C2×D411yescharacteristic
703C2×D4×C73C2×D411yescharacteristic
704C2×D4×C73C2×D411yescharacteristic
705C2×D4×C73C2411yescharacteristic
706C22×C4×C73—21no—
707C22×C4×C73—21no—
708C22×C4×C73—21no—
709C22×C4×C73C2411yescharacteristic
710C22×C4×C73C2411yescharacteristic
711C22×C4×C73C2411yescharacteristic
712Q16×C73—41no—
713Q16×C73—41no—
714SD16×C73—41no—
715SD16×C73—41no—
716M16×C73—41no—
717C2×C8×C73—41no—
718C2×C8×C73C2411yescharacteristic
719C2×C8×C73C2411yescharacteristic
720C2×C8×C73C2411yescharacteristic
721C2×C8×C73C2411yescharacteristic
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73—21no—
725C4⋊C4×C73—21no—
726C4⋊C4×C73—21no—
727C4⋊C4×C73—21no—
728C4⋊C4×C73—21no—
729C4⋊C4×C73C2411yescharacteristic
730C4⋊C4×C73C2411yescharacteristic
731C4⋊C4×C73C2411yescharacteristic
732C4⋊C4×C73C2411yescharacteristic
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73—21no—
740C22⋊C4×C73—21no—
741C22⋊C4×C73—21no—
742C42×C73—21no—
743C23×C73—21no—
744C23×C73C22×D411yescharacteristic
745C23×C73C22×D411yescharacteristic
746C23×C73C22×D411yescharacteristic
747C22×D73—22no—
748C22×D73—22no—
749C22×D73—22no—
750C22×D73—22no—
751C22×D73—41no—
752C22×D73—41no—
753C22×D73—41no—
754C22×D73—41no—
755C22×D73—41no—
756C22×D73C22×D411yescharacteristic
757C22×D73C22×D411yescharacteristic
758C22×D73C22×D411yescharacteristic
759C22×D73C22×D411yescharacteristic
760Q8×C73—21no—
761Q8×C73—21no—
762Q8×C73—21no—
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—41no—
767Q8×C73—42no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—41no—
771D4×C73—41no—
772D4×C73—41no—
773D4×C73—42no—
774D4×C73—81no—
775D4×C73—81no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—42no—
790C2×C4×C73—42no—
791C2×C4×C73—81no—
792C2×C4×C73C22×D411yescharacteristic
793C2×C4×C73C22×D411yescharacteristic
794C2×C4×C73C22×D411yescharacteristic
795C2×C4×C73C2511yescharacteristic
796C22⋊D73—22no—
797C22⋊D73—22no—
798C22⋊D73—22no—
799C22⋊D73—22no—
800C22⋊D73—41no—
801C22⋊D73—41no—
802C22⋊D73—42no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—81no—
806C2×Dic73—22no—
807C2×Dic73—21no—
808C2×Dic73—21no—
809C2×Dic73—21no—
810C2×Dic73—21no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—21no—
814C2×Dic73—21no—
815C2×Dic73—41no—
816C2×Dic73—41no—
817C2×Dic73—42no—
818C2×Dic73—42no—
819C2×Dic73—42no—
820C2×Dic73—42no—
821C2×Dic73C22×D411yescharacteristic
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825D292—22no—
826D292—22no—
827D292—41no—
828C4×D73—22no—
829C4×D73—21no—
830C4×D73—21no—
831C4×D73—21no—
832C4×D73—21no—
833C4×D73—21no—
834C4×D73—21no—
835C4×D73—22no—
836C4×D73—41no—
837C4×D73—41no—
838C4×D73—41no—
839C4×D73—41no—
840C4×D73—42no—
841C4×D73—42no—
842C4×D73—42no—
843C4×D73—42no—
844C4×D73—42no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—81no—
849C4×D73—81no—
850C4×D73H(5,𝔽2)12yes—
851C4×D73H(5,𝔽2)12yes—
852Dic146—22no—
853Dic146—22no—
854Dic146—21no—
855Dic146—21no—
856Dic146—21no—
857Dic146—21no—
858Dic146—21no—
859Dic146—21no—
860Dic146—21no—
861Dic146—21no—
862Dic146—41no—
863Dic146—42no—
864Dic146—42no—
865Dic146—42no—
866Dic146—42no—
867Dic146—42no—
868Dic146—42no—
869Dic146—42no—
870Dic146—42no—
871C8×C73—21no—
872C8×C73—21no—
873C8×C73—21no—
874C8×C73—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878#10596831—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
883C22×C73—21no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—21no—
887C22×C73—21no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73C23×D411yescharacteristic
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—21no—
900C2×D73—21no—
901C2×D73—21no—
902C2×D73—44no—
903C2×D73—82no—
904C2×D73—82no—
905C2×D73#53412yes—
906C2×D73#57812yes—
907C4×C73—21no—
908C4×C73—21no—
909C4×C73—21no—
910C4×C73—41no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73—41no—
915C4×C73—41no—
916C4×C73—41no—
917C4×C73C2×H(5,𝔽2)11yescharacteristic
918C4×C73C2×H(5,𝔽2)11yescharacteristic
919Dic73—21no—
920Dic73—21no—
921Dic73—21no—
922Dic73—41no—
923Dic73—41no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928Dic73—41no—
929Dic73—41no—
930Dic73#53412yes—
931#60759—731nomaximal, Sylow
932C2×C73—41no—
933C2×C73—41no—
934C2×C73—41no—
935C2×C73—81no—
936C2×C73C2×#53411yescharacteristic
937C2×C73C2×#57811yescharacteristic
938C2×C73#358611yescharacteristic
939D73—22no—
940D73—22no—
941D73—41no—
942D73—41no—
943#3489—731no—
944C2×#536—731no—
945#3202—731no—
946#3202—731no—
947#3202—731no—
948#3202—731no—
949#3201—731no—
950#3201—731no—
951#3201—731no—
952#3201D7311yescharacteristic, complemented
953#3196—731no—
954#3196—731no—
955#3195—731no—
956#3195—731no—
957#3190—731no—
958#3190—731no—
959#3189—731no—
960#3189—731no—
961#3097—731no—
962#3097—731no—
963#3095—731no—
964#3091—731no—
965#3063—731no—
966#3063—731no—
967#3059—731no—
968#3059—731no—
969#3011—731no—
970#3011—731no—
971#3004—731no—
972C2×#451—731no—
973#2880—731no—
974C73#6075911yescharacteristic, complemented, Sylow
975C2×2−1+4—731no—
976C22×#41—731no—
977C23×Q8—731no—
978C2×#137—731no—
979C2×#137—731no—
980C22×Q16—731no—
981C22×Q16—731no—
982C2×#131—731no—
983C2×#131—731no—
984D4×Q8—1461no—
985#548—1461no—
986#547—1461no—
987#547—1461no—
988#547—1461no—
989#546—1461no—
990#546—1461no—
991#546—1461no—
992#537—731no—
993#537—731no—
994#537C2×D7311yescharacteristic
995#536—731no—
996#536—731no—
997#536—731no—
998#536—731no—
999#536—731no—
1000#536—731no—
1001#536—731no—
1002#536—731no—
1003#536—731no—
1004#536—731no—
1005#536—1461no—
1006#536—1461no—
1007#536—1461no—
1008#536—1461no—
1009#536C2×D7311yescharacteristic
1010C2×C4⋊Q8—1461no—
1011C2×#124—1461no—
1012#525—731no—
1013#525—731no—
1014#525—731no—
1015C2×#123—1461no—
1016C2×#123—1461no—
1017C2×C22⋊Q8—731no—
1018C2×C22⋊Q8—731no—
1019C2×C22⋊Q8—731no—
1020C2×C22⋊Q8—731no—
1021C2×C22⋊Q8—731no—
1022C2×C22⋊Q8—731no—
1023C2×C22⋊Q8—731no—
1024#520—731no—
1025C2×#117—731no—
1026#485—731no—
1027#485—731no—
1028#485—731no—
1029#485—731no—
1030#485—731no—
1031#485—731no—
1032#485—731no—
1033#485—731no—
1034#485—731no—
1035#485—731no—
1036#485—731no—
1037#485—731no—
1038#485—731no—
1039#485C2×D7311yescharacteristic, complemented
1040#484—731no—
1041#484—731no—
1042#484—731no—
1043#484—731no—
1044#484—731no—
1045#484—731no—
1046#484C2×D7311yescharacteristic, complemented
1047#483—731no—
1048#483—731no—
1049#483—731no—
1050#483—731no—
1051#483—731no—
1052#483—731no—
1053#483C2×D7311yescharacteristic, complemented
1054#482—731no—
1055#482C2×D7311yescharacteristic, complemented
1056#481—731no—
1057#480—731no—
1058#470—731no—
1059#470—731no—
1060#470—731no—
1061#470—731no—
1062#470—731no—
1063#470—731no—
1064#470—731no—
1065#470—731no—
1066#470—731no—
1067#470—731no—
1068#470—731no—
1069#470C2×D7311yescharacteristic, complemented
1070#468—731no—
1071#468—731no—
1072#468—731no—
1073#468C2×D7311yescharacteristic, complemented
1074#467—731no—
1075#467—731no—
1076#467—731no—
1077#467—731no—
1078#467—731no—
1079#467—731no—
1080#467—731no—
1081#467—731no—
1082#467—731no—
1083#467—731no—
1084#467—731no—
1085#467C2×D7311yescharacteristic, complemented
1086#465—731no—
1087#465—731no—
1088#465—731no—
1089#465C2×D7311yescharacteristic, complemented
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452—731no—
1094#452—731no—
1095#452—731no—
1096#452C2×D7311yescharacteristic, complemented
1097#452C2×D7311yescharacteristic, complemented
1098#451—731no—
1099#451—731no—
1100#451—731no—
1101#451—731no—
1102#451—731no—
1103#451—731no—
1104#451—731no—
1105#451—731no—
1106#451—731no—
1107#451—731no—
1108#451—731no—
1109#451—731no—
1110#451—731no—
1111#451—731no—
1112#451—731no—
1113#451—731no—
1114#451—731no—
1115#451—731no—
1116#451—731no—
1117#451C2×D7311yescharacteristic, complemented
1118#448—731no—
1119#448—731no—
1120#448—731no—
1121#448C2×D7311yescharacteristic, complemented
1122#428—731no—
1123#428—731no—
1124#427—731no—
1125#427—731no—
1126#419—731no—
1127#419—731no—
1128#419—731no—
1129#419—731no—
1130#416—731no—
1131#416—731no—
1132C2×#103—731no—
1133C2×#103—731no—
1134#408—731no—
1135#408—731no—
1136#408—731no—
1137#408—731no—
1138#408—731no—
1139#408C2×D7311yescharacteristic
1140#407—731no—
1141#407—731no—
1142#407—731no—
1143C2×C22⋊C8—731no—
1144C2×C22⋊C8—731no—
1145C2×C22⋊C8—731no—
11462−1+4—2922no—
11472−1+4—2922no—
1148C2×#41—2922no—
1149C2×#41—2922no—
1150C2×#41—731no—
1151C2×#41—731no—
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×#41C22×D7311yescharacteristic
1163C2×#41C22×D7311yescharacteristic
1164C22×Q8—2922no—
1165C22×Q8—2922no—
1166C22×Q8—731no—
1167C22×Q8—731no—
1168C22×Q8—731no—
1169C22×Q8—731no—
1170C22×Q8—731no—
1171C22×Q8—731no—
1172C22×Q8—731no—
1173C22×Q8—731no—
1174C22×Q8—731no—
1175C22×Q8—1461no—
1176C22×Q8—1461no—
1177C22×Q8—1461no—
1178C22×Q8—1461no—
1179C22×Q8C22×D7311yescharacteristic
1180C22×D4—731no—
1181C22×D4—731no—
1182C22×D4—731no—
1183C23×C4—731no—
1184C23×C4—731no—
1185C23×C4—731no—
1186C23×C4—1461no—
1187#137—2922no—
1188#137—2922no—
1189C2×Q16—2922no—
1190C2×Q16—2922no—
1191C2×Q16—731no—
1192C2×Q16—731no—
1193C2×Q16—731no—
1194C2×Q16—731no—
1195C2×Q16—731no—
1196C2×Q16—731no—
1197C2×Q16—731no—
1198C2×Q16—731no—
1199C2×Q16—731no—
1200C2×Q16—731no—
1201C2×Q16C22×D7311yescharacteristic
1202C2×Q16C22×D7311yescharacteristic
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16C22×D7311yescharacteristic
1206C2×SD16C22×D7311yescharacteristic
1207#131—2922no—
1208#131—2922no—
1209C2×M16—731no—
1210C2×M16—731no—
1211C2×M16—731no—
1212C2×M16—731no—
1213C2×M16—731no—
1214C2×M16C22×D7311yescharacteristic
1215C22×C8—731no—
1216C22×C8—731no—
1217C22×C8—731no—
1218C22×C8—731no—
1219C22×C8—731no—
1220C22×C8C22×D7311yescharacteristic
1221C4⋊Q8—21no—
1222C4⋊Q8—1461no—
1223C4⋊Q8—1461no—
1224C4⋊Q8—1461no—
1225C4⋊Q8—1461no—
1226C4⋊Q8—1461no—
1227C4⋊Q8—1461no—
1228C4⋊Q8—1461no—
1229C4⋊Q8—1461no—
1230C4⋊Q8—1461no—
1231C4⋊Q8—1461no—
1232#124—21no—
1233#124—1461no—
1234#124—1461no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124—1461no—
1239#124—1461no—
1240#124—1461no—
1241#124—1461no—
1242#124—1461no—
1243#123—21no—
1244#123—21no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254#123—1461no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268C22⋊Q8—21no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—731no—
1279C22⋊Q8—731no—
1280C22⋊Q8—731no—
1281C22⋊Q8—731no—
1282C22⋊Q8—731no—
1283C22⋊Q8—731no—
1284C22⋊Q8—731no—
1285C22⋊Q8—731no—
1286C22⋊Q8—731no—
1287C22⋊Q8—731no—
1288C22⋊Q8—731no—
1289C22⋊Q8—731no—
1290C22⋊Q8—731no—
1291C22⋊Q8—1461no—
1292C22⋊Q8—1461no—
1293C22⋊Q8—1461no—
1294C22⋊Q8—1461no—
1295C22⋊Q8—1461no—
1296C22⋊Q8—1461no—
1297C22⋊Q8—1461no—
1298C22⋊Q8—1461no—
1299C22⋊Q8—1461no—
1300C22⋊Q8—1461no—
1301C22⋊Q8—1461no—
1302C22⋊Q8—1461no—
1303C22⋊Q8—1461no—
1304C22⋊Q8—1461no—
1305C22⋊Q8—1461no—
1306C22⋊Q8—1461no—
1307C22⋊Q8C22×D7311yescharacteristic
1308C22⋊Q8C22×D7311yescharacteristic
1309C22⋊Q8C22×D7311yescharacteristic
1310C22⋊Q8C22×D7311yescharacteristic
1311C22⋊Q8C22×D7311yescharacteristic
1312C22⋊Q8C22×D7311yescharacteristic
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—731no—
1317#121—731no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121C22×D7311yescharacteristic
1325#121C22×D7311yescharacteristic
1326#120—1461no—
1327#120—1461no—
1328#120—1461no—
1329C4×Q8—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×D4—1461no—
1339#117—731no—
1340#117—731no—
1341#117—731no—
1342#117—731no—
1343#117—731no—
1344#117—731no—
1345#117—1461no—
1346#117—1461no—
1347#117C22×D7311yescharacteristic
1348C2×C4⋊C4—731no—
1349C2×C4⋊C4—731no—
1350C2×C4⋊C4—731no—
1351C2×C4⋊C4—731no—
1352C2×C4⋊C4—1461no—
1353C2×C4⋊C4—1461no—
1354C2×C4⋊C4—1461no—
1355C2×C4⋊C4—1461no—
1356C2×C4⋊C4—1461no—
1357C2×C4⋊C4—1461no—
1358C2×C4⋊C4—1461no—
1359C2×C4⋊C4C22×D7311yescharacteristic
1360C2×C22⋊C4—1461no—
1361C2×C22⋊C4—1461no—
1362C2×C22⋊C4—1461no—
1363C2×C22⋊C4—1461no—
1364C2×C22⋊C4—1461no—
1365C2×C22⋊C4—1461no—
1366C2×C22⋊C4—1461no—
1367C2×C22⋊C4—1461no—
1368C2×C42—1461no—
1369#107—731no—
1370#107—731no—
1371#107—731no—
1372#107—731no—
1373#107—731no—
1374#107—731no—
1375#107C22×D7311yescharacteristic
1376#107C22×D7311yescharacteristic
1377#106—731no—
1378#106—731no—
1379#106—731no—
1380#106—731no—
1381#106—731no—
1382#106—731no—
1383#106C22×D7311yescharacteristic
1384#106C22×D7311yescharacteristic
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103—731no—
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103—731no—
1406#103—731no—
1407#103C22×D7311yescharacteristic
1408#103C22×D7311yescharacteristic
1409#103C22×D7311yescharacteristic
1410#103C22×D7311yescharacteristic
1411#103C22×D7311yescharacteristic
1412#103C22×D7311yescharacteristic
1413#102—731no—
1414#102—731no—
1415#102C22×D7311yescharacteristic
1416#102C22×D7311yescharacteristic
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8—731no—
1424C22⋊C8—731no—
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8C22×D7311yescharacteristic
1430C22⋊C8C22×D7311yescharacteristic
1431C22⋊C8C22×D7311yescharacteristic
1432C22⋊C8C22×D7311yescharacteristic
1433C24—731no—
1434C24—731no—
1435C24—731no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—2921no—
1441#41—2921no—
1442#41—2924no—
1443#41—2924no—
1444#41—2924no—
1445#41—2921no—
1446#41—2921no—
1447#41—2922no—
1448#41—2922no—
1449#41—2922no—
1450#41—2922no—
1451#41—1462no—
1452#41—1462no—
1453#41—1462no—
1454#41—1462no—
1455#41—1462no—
1456#41—1462no—
1457C2×Q8—21no—
1458C2×Q8—41no—
1459C2×Q8—41no—
1460C2×Q8—2921no—
1461C2×Q8—2921no—
1462C2×Q8—2921no—
1463C2×Q8—2921no—
1464C2×Q8—2924no—
1465C2×Q8—2924no—
1466C2×Q8—2921no—
1467C2×Q8—2921no—
1468C2×Q8—2921no—
1469C2×Q8—2921no—
1470C2×Q8—2921no—
1471C2×Q8—2921no—
1472C2×Q8—2924no—
1473C2×Q8—2924no—
1474C2×Q8—2922no—
1475C2×Q8—731no—
1476C2×Q8—731no—
1477C2×Q8—731no—
1478C2×Q8—731no—
1479C2×Q8—731no—
1480C2×Q8—731no—
1481C2×Q8—731no—
1482C2×Q8—1461no—
1483C2×Q8—1461no—
1484C2×Q8—1461no—
1485C2×Q8—1461no—
1486C2×Q8—1461no—
1487C2×Q8—1461no—
1488C2×Q8—1462no—
1489C2×Q8—1462no—
1490C2×Q8—1462no—
1491C2×Q8—1462no—
1492C2×Q8—1462no—
1493C2×Q8—1462no—
1494C2×Q8—1461no—
1495C2×Q8—1461no—
1496C2×Q8D4×D7311yescharacteristic
1497C2×Q8C23×D7311yescharacteristic
1498C2×Q8C23×D7311yescharacteristic
1499C2×Q8C23×D7311yescharacteristic
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—2922no—
1504C2×D4—2922no—
1505C2×D4—2922no—
1506C2×D4—731no—
1507C2×D4—731no—
1508C2×D4—731no—
1509C2×D4—731no—
1510C2×D4—731no—
1511C2×D4—731no—
1512C2×D4—731no—
1513C2×D4—731no—
1514C2×D4—731no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4D4×D7311yescharacteristic
1520C2×D4D4×D7311yescharacteristic
1521C2×D4D4×D7311yescharacteristic
1522C2×D4C23×D7311yescharacteristic
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—2921no—
1527C22×C4—2921no—
1528C22×C4—2921no—
1529C22×C4—2921no—
1530C22×C4—2924no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
1537C22×C4—731no—
1538C22×C4—731no—
1539C22×C4—731no—
1540C22×C4—731no—
1541C22×C4—731no—
1542C22×C4—731no—
1543C22×C4—731no—
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×C4—1461no—
1554C22×C4—1462no—
1555C22×C4—1462no—
1556C22×C4—1461no—
1557C22×C4—1461no—
1558C22×C4—1461no—
1559C22×C4—1461no—
1560C22×C4C23×D7311yescharacteristic
1561C22×C4C23×D7311yescharacteristic
1562C22×C4C23×D7311yescharacteristic
1563Q16—41no—
1564Q16—41no—
1565Q16—2921no—
1566Q16—2921no—
1567Q16—2921no—
1568Q16—2921no—
1569Q16—2921no—
1570Q16—2921no—
1571Q16—2921no—
1572Q16—2921no—
1573Q16—2921no—
1574Q16—2921no—
1575SD16—41no—
1576SD16—41no—
1577SD16—2921no—
1578SD16—2921no—
1579M16—41no—
1580M16—2921no—
1581M16—2921no—
1582M16—2921no—
1583M16—1462no—
1584M16—1462no—
1585C2×C8—41no—
1586C2×C8—2921no—
1587C2×C8—2921no—
1588C2×C8—2921no—
1589C2×C8—731no—
1590C2×C8—731no—
1591C2×C8—731no—
1592C2×C8—731no—
1593C2×C8—1462no—
1594C2×C8—1462no—
1595C2×C8C23×D7311yescharacteristic
1596C2×C8C23×D7311yescharacteristic
1597C2×C8C23×D7311yescharacteristic
1598C2×C8C23×D7311yescharacteristic
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—731no—
1607C4⋊C4—731no—
1608C4⋊C4—731no—
1609C4⋊C4—731no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4—1461no—
1636C4⋊C4C23×D7311yescharacteristic
1637C4⋊C4C23×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C4⋊C4C23×D7311yescharacteristic
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4—1461no—
1679C42—21no—
1680C42—1461no—
1681C42—1461no—
1682C42—1461no—
1683C42—1461no—
1684C42—1461no—
1685C42—1461no—
1686C23—21no—
1687C23—2921no—
1688C23—2921no—
1689C23—2921no—
1690C23—2921no—
1691C23—2921no—
1692C23—731no—
1693C23—731no—
1694C23—731no—
1695C23—731no—
1696C23—1462no—
1697C23—1462no—
1698C23—1462no—
1699C23—1462no—
1700C23C2×D4×D7311yescharacteristic
1701C23C2×D4×D7311yescharacteristic
1702C23C2×D4×D7311yescharacteristic
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—41no—
1710Q8—42no—
1711Q8—2922no—
1712Q8—2922no—
1713Q8—2921no—
1714Q8—2922no—
1715Q8—2922no—
1716Q8—2922no—
1717Q8—2922no—
1718Q8—2922no—
1719Q8—2922no—
1720Q8—1462no—
1721Q8—1462no—
1722Q8—1461no—
1723Q8—1461no—
1724Q8—1461no—
1725Q8—1461no—
1726Q8—1461no—
1727Q8—1461no—
1728Q8—1461no—
1729Q8—1461no—
1730D4—21no—
1731D4—21no—
1732D4—41no—
1733D4—41no—
1734D4—41no—
1735D4—42no—
1736D4—81no—
1737D4—81no—
1738D4—2921no—
1739D4—2922no—
1740D4—2922no—
1741D4—2922no—
1742D4—2921no—
1743D4—2921no—
1744D4—5841no—
1745D4—1462no—
1746D4—1462no—
1747D4—1462no—
1748D4—1462no—
1749D4—1462no—
1750D4—1462no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
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—21no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—81no—
1767C2×C4—2921no—
1768C2×C4—2921no—
1769C2×C4—2921no—
1770C2×C4—2921no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2922no—
1775C2×C4—2922no—
1776C2×C4—2922no—
1777C2×C4—2922no—
1778C2×C4—2922no—
1779C2×C4—2922no—
1780C2×C4—2922no—
1781C2×C4—2922no—
1782C2×C4—2922no—
1783C2×C4—2921no—
1784C2×C4—2921no—
1785C2×C4—5841no—
1786C2×C4—5841no—
1787C2×C4—731no—
1788C2×C4—732no—
1789C2×C4—732no—
1790C2×C4—731no—
1791C2×C4—731no—
1792C2×C4—731no—
1793C2×C4—1462no—
1794C2×C4—1462no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1461no—
1802C2×C4—1461no—
1803C2×C4—1462no—
1804C2×C4—1461no—
1805C2×C4—1461no—
1806C2×C4—1461no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4C2×D4×D7311yescharacteristic
1811C2×C4C2×D4×D7311yescharacteristic
1812C2×C4C2×D4×D7311yescharacteristic
1813C2×C4C24×D7311yescharacteristic
1814C8—21no—
1815C8—21no—
1816C8—21no—
1817C8—21no—
1818C8—1461no—
1819C8—1461no—
1820C8—1461no—
1821C8—1461no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—21no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—2924no—
1835C22—5842no—
1836C22—5842no—
1837C22—732no—
1838C22—732no—
1839C22—1461no—
1840C22—1461no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22—1461no—
1845C22—1461no—
1846C22—1461no—
1847C22—1461no—
1848C22—1461no—
1849C22C22×D4×D7311yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—2921no—
1861C4—2921no—
1862C4—2921no—
1863C4—2921no—
1864C4—2921no—
1865C4—2921no—
1866C4—2921no—
1867C4—2921no—
1868C4—732no—
1869C4—1461no—
1870C4—1461no—
1871C4—1461no—
1872C4H(5,𝔽2)×D7311yescharacteristic
1873C4H(5,𝔽2)×D7311yescharacteristic
1874C2—41no—
1875C2—41no—
1876C2—41no—
1877C2—81no—
1878C2—2921no—
1879C2—2921no—
1880C2—1462no—
1881C2—1462no—
1882C2#534×D7311yescharacteristic
1883C2#578×D7311yescharacteristic
1884C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3201C2
socleC22×C73C23×D4
prime radical#22623606C2
hypercenter#3201D73
hypocenterC73#60759
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
2. #536×D73C2semidirect
3. #22620826C2semidirect
4. #22620825C2semidirect
5. #22620824C2semidirect
6. #22620822C2semidirect
7. #22620811C2semidirect
8. #22620809C2semidirect
9. #22620807C2semidirect
10. #22620759C2semidirect
11. #22620756C2semidirect
12. #22620754C2semidirect
13. #22620751C2semidirect
14. #22620710C2semidirect
15. #22620707C2semidirect
16. #22620705C2semidirect
17. #22620702C2semidirect
18. #22619899C2semidirect
19. #22619893C2semidirect
20. #22619878C2semidirect
21. #22619843C2semidirect
22. #22619617C2semidirect
23. #22619615C2semidirect
24. #22619584C2semidirect
25. #22619581C2semidirect
26. #22619223C2semidirect
27. #22619223C2semidirect
28. #22619162C2semidirect
29. #451×D73C2semidirect
30. #22618379C2semidirect
31. C73×#3201C2semidirect
35. C2×#14556620C22semidirect
36. C2×#14556620C22semidirect
37. C2×Q16×D73C22semidirect
38. C2×Q16×D73C22semidirect
81. #17988931C22semidirect
82. #17988930C22semidirect
83. #17988929C22semidirect
84. #17988929C22semidirect
85. #17988929C22semidirect
86. #17988929C22semidirect
87. #17988928C22semidirect
88. #17988928C22semidirect
89. #17988927C22semidirect
90. #17988926C22semidirect
91. #17988925C22semidirect
92. #17988925C22semidirect
93. #17988925C22semidirect
96. #17988924C22semidirect
97. #17988922C22semidirect
99. #17988921C22semidirect
102. #17988919C22semidirect
103. #17988917C22semidirect
105. #17988916C22semidirect
106. #17988908C22semidirect
109. #17988846C22semidirect
110. #17988846C22semidirect
111. #17988845C22semidirect
112. #17988845C22semidirect
113. #17988844C22semidirect
114. #17988844C22semidirect
115. #17988844C22semidirect
116. #17988843C22semidirect
117. #17988843C22semidirect
118. #17988843C22semidirect
119. #17988842C22semidirect
120. #17988832C22semidirect
121. #17988831C22semidirect
122. #17988830C22semidirect
123. #17988829C22semidirect
124. #17988829C22semidirect
125. #17988828C22semidirect
126. #17988828C22semidirect
127. #17988827C22semidirect
128. #17988827C22semidirect
129. #17988827C22semidirect
130. #17988826C22semidirect
131. #17988826C22semidirect
132. #17988826C22semidirect
133. #17988825C22semidirect
134. #17988815C22semidirect
135. #17988814C22semidirect
136. #17988813C22semidirect
137. #17988750C22semidirect
138. #17988750C22semidirect
139. #17988749C22semidirect
140. #17988749C22semidirect
141. #17988746C22semidirect
142. #17988746C22semidirect
143. #17988745C22semidirect
144. #17988745C22semidirect
145. #17988745C22semidirect
146. #17988745C22semidirect
151. #17988744C22semidirect
152. #17988744C22semidirect
153. #17988743C22semidirect
154. #17988743C22semidirect
155. #17988742C22semidirect
156. #17988742C22semidirect
157. #17988742C22semidirect
160. #17988741C22semidirect
161. #17988741C22semidirect
162. #17988725C22semidirect
165. #17988628C22semidirect
166. #17988626C22semidirect
167. #17988624C22semidirect
168. #17988622C22semidirect
169. #17988594C22semidirect
170. #17988594C22semidirect
171. #17988594C22semidirect
172. #17988594C22semidirect
173. #17988580C22semidirect
174. #17988580C22semidirect
175. #103×D73C22semidirect
176. #103×D73C22semidirect
190. #485×C73C22semidirect
191. #484×C73C22semidirect
192. #483×C73C22semidirect
193. #482×C73C22semidirect
194. #470×C73C22semidirect
195. #468×C73C22semidirect
196. #467×C73C22semidirect
197. #465×C73C22semidirect
198. #452×C73C22semidirect
199. #452×C73C22semidirect
200. #451×C73C22semidirect
201. #448×C73C22semidirect
952. #3201D73semidirect
974. C73#60759semidirect
1039. #485C2×D73semidirect
1046. #484C2×D73semidirect
1053. #483C2×D73semidirect
1055. #482C2×D73semidirect
1069. #470C2×D73semidirect
1073. #468C2×D73semidirect
1085. #467C2×D73semidirect
1089. #465C2×D73semidirect
1096. #452C2×D73semidirect
1097. #452C2×D73semidirect
1117. #451C2×D73semidirect
1121. #448C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226236062
#536×D732
#226208262
#226208252
#226208242
#226208222
#226208112
#226208092
#226208072
#226207592
#226207562
#226207542
#226207512
#226207102
#226207072
#226207052
#226207022
#226198992
#226198932
#226198782
#226198432
#226196172
#226196152
#226195842
#226195812
#226192232
#226191622
#451×D732
#226183792
C73×#32012
#6075973