Finite Group Databasebeta

← #33954997

Subgroups — #33954997

Order 18688.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623803C211yesmaximal, characteristic, complemented
2#22623140C211yesmaximal, characteristic, complemented
3#22620224C211yesmaximal, characteristic, complemented
4#22620222C211yesmaximal, characteristic, complemented
5#22620220C211yesmaximal, characteristic, complemented
6#22620137C211yesmaximal, characteristic, complemented
7#22620132C211yesmaximal, characteristic, complemented
8#22620129C211yesmaximal, characteristic, complemented
9#22620124C211yesmaximal, characteristic, complemented
10#22620080C211yesmaximal, characteristic, complemented
11#22620077C211yesmaximal, characteristic, complemented
12#22620051C211yesmaximal, characteristic, complemented
13#22620048C211yesmaximal, characteristic, complemented
14#22619989C211yesmaximal, characteristic, complemented
15#22619986C211yesmaximal, characteristic, complemented
16#22619960C211yesmaximal, characteristic, complemented
17#22619957C211yesmaximal, characteristic, complemented
18#22619886C211yesmaximal, characteristic, complemented
19#22619884C211yesmaximal, characteristic, complemented
20#22619734C211yesmaximal, characteristic, complemented
21#22619718C211yesmaximal, characteristic, complemented
22#22619408C211yesmaximal, characteristic, complemented
23#460×D73C211yesmaximal, characteristic, complemented
24#22619212C211yesmaximal, characteristic, complemented
25#22619212C211yesmaximal, characteristic, complemented
26#22618787C211yesmaximal, characteristic, complemented
27#22618785C211yesmaximal, characteristic, complemented
28#22618762C211yesmaximal, characteristic, complemented
29#22618758C211yesmaximal, characteristic, complemented
30#22618594C211yesmaximal, characteristic, complemented
31C73×#3126C211yesmaximal, characteristic, complemented
32C2×#14556639C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×#14556618C2211yescharacteristic
35C2×SD16×D73C2211yescharacteristic
36C2×SD16×D73C2211yescharacteristic
37#17989321—21no—
38#17989321—21no—
39#17989255—21no—
40#17989255—21no—
41#17989229—21no—
42#17989229—21no—
43#17989226—21no—
44#17989226—21no—
45#17989193C2211yescharacteristic
46#17989192C2211yescharacteristic
47#17989191C2211yescharacteristic
48#17989153C2211yescharacteristic
49#17989153C2211yescharacteristic
50#17989143C2211yescharacteristic
51#17989134C2211yescharacteristic
52#17989134C2211yescharacteristic
53#17989132C2211yescharacteristic
54#17989132C2211yescharacteristic
55#127×D73C2211yescharacteristic
56#17989069—21no—
57#17989069C2211yescharacteristic
58#17989069C2211yescharacteristic, complemented
59#17989067—21no—
60#17989067—21no—
61#17989067C2211yescharacteristic
62#17989067C2211yescharacteristic, complemented
63#17989063—21no—
64#17989063C2211yescharacteristic
65#17989063C2211yescharacteristic, complemented
66#17989059C2211yescharacteristic
67#17989059C2211yescharacteristic
68C4×#11924029—21no—
69C4×#11924029C2211yescharacteristic
70C4×#11924029C2211yescharacteristic, complemented
71#17989055—21no—
72#17989055—21no—
73#17989055C2211yescharacteristic
74#17989055C2211yescharacteristic, complemented
75C2×Q8×Dic73C2211yescharacteristic, complemented
76C4×Q8×D73—21no—
77C4×Q8×D73C2211yescharacteristic
78C4×Q8×D73C2211yescharacteristic, complemented
79#17988914C2211yescharacteristic, complemented
80#17988913C2211yescharacteristic, complemented
81#17988911C2211yescharacteristic, complemented
82#17988911C2211yescharacteristic, complemented
83#17988910C2211yescharacteristic, complemented
84#17988909C2211yescharacteristic, complemented
85#17988907C2211yescharacteristic, complemented
86#17988906C2211yescharacteristic, complemented
87#17988904C2211yescharacteristic, complemented
88#17988903C2211yescharacteristic, complemented
89#17988902C2211yescharacteristic, complemented
90#17988901C2211yescharacteristic, complemented
91#17988899C2211yescharacteristic, complemented
92#17988898C2211yescharacteristic, complemented
93#17988895C2211yescharacteristic, complemented
94#17988894C2211yescharacteristic, complemented
95#17988894C2211yescharacteristic, complemented
96#17988891C2211yescharacteristic, complemented
97#17988888C2211yescharacteristic, complemented
98#17988884C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988880C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988870C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic, complemented
107#17988788C2211yescharacteristic
108#17988787C2211yescharacteristic
109#17988787C2211yescharacteristic
110#17988786C2211yescharacteristic
111#17988786C2211yescharacteristic
112#17988785C2211yescharacteristic
113#17988785C2211yescharacteristic
114#17988785C2211yescharacteristic
115#17988785C2211yescharacteristic
116#17988784C2211yescharacteristic
117#17988783C2211yescharacteristic
118#17988781C2211yescharacteristic
119#17988781C2211yescharacteristic
120#17988779C2211yescharacteristic
121#17988735C2211yescharacteristic, complemented
122#17988735C2211yescharacteristic, complemented
123#17988734C2211yescharacteristic, complemented
124#17988734C2211yescharacteristic, complemented
125#17988731C2211yescharacteristic, complemented
126#17988731C2211yescharacteristic, complemented
127#17988730C2211yescharacteristic, complemented
128#17988730C2211yescharacteristic, complemented
129#17988727C2211yescharacteristic, complemented
130#17988727C2211yescharacteristic, complemented
131#17988726C2211yescharacteristic, complemented
132#17988726C2211yescharacteristic, complemented
133#17988724C2211yescharacteristic, complemented
134#17988724C2211yescharacteristic, complemented
135#17988700C2211yescharacteristic, complemented
136#17988698C2211yescharacteristic, complemented
137#17988697C2211yescharacteristic, complemented
138#17988696C2211yescharacteristic, complemented
139#17988690C2211yescharacteristic, complemented
140#17988690C2211yescharacteristic, complemented
141#17988689C2211yescharacteristic, complemented
142#17988688C2211yescharacteristic, complemented
143#17988688C2211yescharacteristic, complemented
144#17988687C2211yescharacteristic, complemented
145#17988686C2211yescharacteristic, complemented
146#17988685C2211yescharacteristic, complemented
147#17988685C2211yescharacteristic, complemented
148#17988684C2211yescharacteristic, complemented
149#17988678C2211yescharacteristic, complemented
150C4×#11924017C2211yescharacteristic, complemented
151SD16×Dic73C2211yescharacteristic, complemented
152SD16×Dic73C2211yescharacteristic, complemented
153C4×#11924015C2211yescharacteristic, complemented
154C4×#11924015C2211yescharacteristic, complemented
155#17988674C2211yescharacteristic, complemented
156C4×#11924016C2211yescharacteristic, complemented
157#17988672C2211yescharacteristic, complemented
158#17988672C2211yescharacteristic, complemented
159C4×D584C2211yescharacteristic, complemented
160#17988669C2211yescharacteristic, complemented
161C4×#11924013C2211yescharacteristic, complemented
162#17988667C2211yescharacteristic, complemented
163#17988648C2211yescharacteristic, complemented
164#17988647C2211yescharacteristic, complemented
165#17988647C2211yescharacteristic, complemented
166#17988642C2211yescharacteristic, complemented
167#17988641C2211yescharacteristic, complemented
168#17988638C2211yescharacteristic, complemented
169#17988637C2211yescharacteristic, complemented
170#17988628C2211yescharacteristic
171#17988626C2211yescharacteristic
172#17988624C2211yescharacteristic
173#17988622C2211yescharacteristic
174#17988609C2211yescharacteristic
175C4⋊C8×D73C2211yescharacteristic
176#17988594C2211yescharacteristic
177#17988594C2211yescharacteristic
178#17988590C2211yescharacteristic
179#17988590C2211yescharacteristic
180#17988582C2211yescharacteristic
181#17988582C2211yescharacteristic
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988544C2211yescharacteristic
187#17988541C2211yescharacteristic
188#540×C73C2211yescharacteristic
189#519×C73C2211yescharacteristic, complemented
190#482×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#479×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#460×C73C2211yescharacteristic
195#460×C73C2211yescharacteristic
196#448×C73C2211yescharacteristic, complemented
197#448×C73C2211yescharacteristic, complemented
198#440×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203#14556639—24no—
204#14556639—24no—
205C2×#11924029—21no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028—21no—
211C2×#11924028—21no—
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924027—21no—
215C2×#11924027—21no—
216C2×Q8×D73—21no—
217C2×Q8×D73C2311yescharacteristic
218C2×Q8×D73C2311yescharacteristic
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73C2311yescharacteristic
222C2×D4×D73C2311yescharacteristic
223#14556618—24no—
224#14556618—24no—
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233SD16×D73—24no—
234SD16×D73—24no—
235C2×D584C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924011C2311yescharacteristic
240C2×#11924011C2311yescharacteristic
241C2×C8×D73C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243#14556590C2311yescharacteristic
244#14556590C2311yescharacteristic
245#14556588C2311yescharacteristic
246#14556587—21no—
247#14556587—21no—
248#14556587—21no—
249#14556587—21no—
250#14556587C2311yescharacteristic
251#14556587C2311yescharacteristic
252#14556583C2311yescharacteristic
253#14556577—21no—
254#14556577—21no—
255#14556577—21no—
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556576—21no—
260#14556576—21no—
261#14556576—21no—
262#14556576—21no—
263#14556572—21no—
264#14556572—21no—
265#14556569—21no—
266#14556569—21no—
267#14556566—21no—
268#14556566—21no—
269#14556566C2311yescharacteristic
270#14556566C2311yescharacteristic
271#14556565C2311yescharacteristic
272#14556565C2311yescharacteristic
273#14556564—21no—
274#14556564—21no—
275#14556564—21no—
276#14556564—21no—
277#14556563—21no—
278#14556563—21no—
279#14556563—21no—
280#14556563—21no—
281#14556562C2311yescharacteristic
282#14556562C2311yescharacteristic
283#14556561—21no—
284#14556561—21no—
285#14556559—21no—
286#14556559—21no—
287Q8×Dic73—21no—
288Q8×Dic73—21no—
289Q8×Dic73C2311yescharacteristic
290Q8×Dic73C2311yescharacteristic
291Q8×Dic73C2311yescharacteristic
292Q8×Dic73C2311yescharacteristic
293C4×Dic146—21no—
294C4×Dic146—21no—
295C4×Dic146—21no—
296C4×Dic146—21no—
297C4×Dic146—21no—
298C4×Dic146C2311yescharacteristic
299C4×Dic146C2311yescharacteristic
300#14556556—21no—
301#14556556—21no—
302#14556556—21no—
303#14556556—21no—
304#14556556—21no—
305#14556556—21no—
306#14556556D411yescharacteristic
307#14556556D411yescharacteristic
308#14556556C2311yescharacteristic
309#14556556C2311yescharacteristic
310C4×D292—21no—
311C4×D292—21no—
312C4×D292—21no—
313C4×D292—21no—
314C4×D292—21no—
315C4×D292C2311yescharacteristic
316C4×D292C2311yescharacteristic
317C4×D292C2311yescharacteristic
318C4×D292C2311yescharacteristic
319D4×Dic73C2311yescharacteristic
320D4×Dic73C2311yescharacteristic
321#14556553—21no—
322#14556553—21no—
323#14556553—21no—
324#14556553—21no—
325#14556553D411yescharacteristic
326#14556553D411yescharacteristic
327#14556553C2311yescharacteristic
328#14556553C2311yescharacteristic
329#14556553C2311yescharacteristic
330#14556553C2311yescharacteristic
331C4×C22⋊D73—21no—
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335#14556551—21no—
336#14556551—21no—
337#14556551—21no—
338#14556551—21no—
339#14556551—21no—
340#14556551—21no—
341#14556551—21no—
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556551D411yescharacteristic
346#14556551D411yescharacteristic
347#14556551D411yescharacteristic
348#14556551D411yescharacteristic
349#14556549—21no—
350#14556549—21no—
351#14556549—21no—
352#14556549—21no—
353#14556549—21no—
354#14556549C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556548—21no—
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548C2311yescharacteristic
364#14556548C2311yescharacteristic
365C2×C4⋊Dic73—21no—
366C2×C4⋊Dic73C2311yescharacteristic
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C2×#11924005—21no—
375C2×#11924005—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C2×C4×Dic73—21no—
379C2×C4×Dic73C2311yescharacteristic
380C42×D73—21no—
381C42×D73—21no—
382C42×D73—21no—
383C42×D73—21no—
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438C4×#10596831C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446#127×C73C2311yescharacteristic
447#125×C73C2311yescharacteristic
448#123×C73—21no—
449#123×C73—21no—
450#121×C73—21no—
451#121×C73—21no—
452#121×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454C4×Q8×C73—21no—
455C4×Q8×C73—21no—
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×Q8×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73—21no—
463#117×C73—21no—
464#117×C73C2311yescharacteristic
465#117×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—28no—
487#11924029—22no—
488#11924029—22no—
489#11924029—22no—
490#11924029#4114yescomplemented
491#11924028—28no—
492#11924028—28no—
493#11924028—22no—
494#11924028—22no—
495#11924028—22no—
496#11924028—22no—
497#11924028—82no—
498#11924028—82no—
499#11924027—82no—
500#11924027—82no—
501C2×Dic146—21no—
502C2×Dic146—21no—
503C2×Dic146—21no—
504C2×Dic146—21no—
505C2×Dic146C2×D411yescharacteristic
506C2×Dic146C2411yescharacteristic
507Q8×D73—28no—
508Q8×D73—22no—
509Q8×D73—22no—
510Q8×D73—22no—
511Q8×D73#4114yescomplemented
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292C2×D411yescharacteristic
519C2×D292C2411yescharacteristic
520C2×D292C2411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73C2×D411yescharacteristic
534C2×C22⋊D73C2×D411yescharacteristic
535D4×D73—22no—
536D4×D73—22no—
537D4×D73—22no—
538D4×D73—22no—
539D4×D73—82no—
540D4×D73—82no—
541C22×Dic73—21no—
542C22×Dic73—21no—
543C22×Dic73—21no—
544C22×Dic73C2×D411yescharacteristic
545C22×Dic73C2×D411yescharacteristic
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73C2×D411yescharacteristic
562C2×C4×D73C2×D411yescharacteristic
563C2×C4×D73C2×D411yescharacteristic
564C2×C4×D73C2×D411yescharacteristic
565C2×C4×D73C2411yescharacteristic
566C2×C4×D73C2411yescharacteristic
567#11924017—22no—
568#11924017—22no—
569#11924016—22no—
570#11924016—22no—
571#11924015—22no—
572#11924015—22no—
573#11924015—22no—
574#11924015—22no—
575D584—22no—
576D584—22no—
577#11924013—22no—
578#11924013—22no—
579#11924011—22no—
580#11924011—22no—
581C2×#10596831C2411yescharacteristic
582C2×#10596831C2411yescharacteristic
583C2×#10596831C2411yescharacteristic
584C2×#10596831C2411yescharacteristic
585C8×D73—22no—
586C8×D73—22no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73—21no—
591C4⋊Dic73—21no—
592C4⋊Dic73C2411yescharacteristic
593C4⋊Dic73C2411yescharacteristic
594C4⋊Dic73C2411yescharacteristic
595C4⋊Dic73C2411yescharacteristic
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609#11924007C2×D411yescharacteristic
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C4×Dic73C2411yescharacteristic
654C2×Q8×C73—22no—
655C2×Q8×C73—22no—
656C2×Q8×C73—21no—
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73C2411yescharacteristic
669SD16×C73—22no—
670SD16×C73—22no—
671SD16×C73—22no—
672SD16×C73—22no—
673C2×C8×C73C2411yescharacteristic
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C2×C8×C73C2411yescharacteristic
677C4⋊C4×C73—21no—
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73C2×D411yescharacteristic
684C4⋊C4×C73C2×D411yescharacteristic
685C4⋊C4×C73C2411yescharacteristic
686C4⋊C4×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73C2×D411yescharacteristic
695C22⋊C4×C73C2×D411yescharacteristic
696C42×C73—21no—
697C42×C73—21no—
698C42×C73—21no—
699C42×C73—21no—
700C42×C73—21no—
701C42×C73C2411yescharacteristic
702C42×C73C2411yescharacteristic
703C23×C73—21no—
704C23×C73—21no—
705C23×C73C22×D411yescharacteristic
706C22×D73—21no—
707C22×D73—21no—
708C22×D73—21no—
709C22×D73—42no—
710C22×D73—42no—
711C22×D73—81no—
712C22×D73—81no—
713C22×D73—81no—
714C22×D73—81no—
715C22×D73C22×D411yescharacteristic
716C22×D73C22×D411yescharacteristic
717Q8×C73—24no—
718Q8×C73—21no—
719Q8×C73—21no—
720Q8×C73C2×#4112yes—
721Q8×C73C2×#4112yes—
722D4×C73—21no—
723D4×C73—21no—
724D4×C73—21no—
725D4×C73—21no—
726D4×C73—81no—
727D4×C73—81no—
728D4×C73—81no—
729D4×C73—81no—
730C2×C4×C73—24no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—81no—
740C2×C4×C73—81no—
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C2511yescharacteristic
747C22⋊D73—24no—
748C22⋊D73—22no—
749C22⋊D73—22no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—42no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C2×Dic73—21no—
761C2×Dic73—22no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—41no—
767C2×Dic73—81no—
768C2×Dic73—81no—
769C2×Dic73—81no—
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776D292—24no—
777D292—24no—
778D292—22no—
779D292—21no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—21no—
784D292—81no—
785D292—81no—
786D292—81no—
787D292—81no—
788D292C2×#4112yes—
789C4×D73—24no—
790C4×D73—24no—
791C4×D73—24no—
792C4×D73—24no—
793C4×D73—21no—
794C4×D73—21no—
795C4×D73—24no—
796C4×D73—22no—
797C4×D73—22no—
798C4×D73—41no—
799C4×D73—41no—
800C4×D73—42no—
801C4×D73—81no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73C2×#4112yes—
811C4×D73C2×#4112yes—
812Dic146—24no—
813Dic146—21no—
814Dic146—22no—
815Dic146—24no—
816Dic146—42no—
817Dic146—42no—
818Dic146C2×#4112yes—
819C8×C73—21no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823#10596831—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73C23×D411yescharacteristic
837C2×D73—21no—
838C2×D73—21no—
839C2×D73—21no—
840C2×D73—21no—
841C2×D73—22no—
842C2×D73—21no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—162no—
852C2×D73—162no—
853C2×D73#52512yes—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—22no—
857C4×C73—22no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73C22×#4111yescharacteristic
866C4×C73C22×#4111yescharacteristic
867Dic73—21no—
868Dic73—21no—
869Dic73—21no—
870Dic73—22no—
871Dic73—21no—
872Dic73—41no—
873Dic73—41no—
874Dic73—41no—
875Dic73—41no—
876Dic73#52512yes—
877Dic73#57712yes—
878#60593—731nomaximal, Sylow
879C2×C73—41no—
880C2×C73—81no—
881C2×C73—81no—
882C2×C73C2×#52511yescharacteristic
883C2×C73C2×#57711yescharacteristic
884C2×C73#358511yescharacteristic
885D73—22no—
886D73—41no—
887D73—42no—
888D73—81no—
889D73—81no—
890#3508—731no—
891C4×2−1+4—731no—
892#3126—731no—
893#3126—731no—
894#3126—731no—
895#3126D7311yescharacteristic, complemented
896#3119—731no—
897#3119—731no—
898#3119—731no—
899#3119—731no—
900#3115—731no—
901#3115—731no—
902#3112—731no—
903#3112—731no—
904#3106—731no—
905#3106—731no—
906#3103—731no—
907#3103—731no—
908#3096—731no—
909#3096—731no—
910#3078—731no—
911#3076—731no—
912#3038—731no—
913C2×#460—731no—
914#3010—731no—
915#3010—731no—
916#2949—731no—
917#2949—731no—
918#2946—731no—
919#2946—731no—
920#2925—731no—
921C73#6059311yescharacteristic, complemented, Sylow
922C2×2−1+4—731no—
923C2×AGL(1,ℤ/8)—731no—
924C2×AGL(1,ℤ/8)—731no—
925C22×SD16—731no—
926C22×SD16—731no—
927#559—1461no—
928#559—1461no—
929#550—1461no—
930#550—1461no—
931#546—1461no—
932#546—1461no—
933#546—1461no—
934#546—1461no—
935#540—731no—
936#540—731no—
937#540—731no—
938#540C2×D7311yescharacteristic
939#535—731no—
940#535—731no—
941#533—731no—
942#532—731no—
943#532—731no—
944#532—731no—
945#532—731no—
946C2×#127—731no—
947#520—731no—
948#520—731no—
949#520—731no—
950#520—731no—
951#520—1461no—
952#520—1461no—
953#520—1461no—
954#519—731no—
955#519—731no—
956#519—1461no—
957#519C2×D7311yescharacteristic, complemented
958#518—731no—
959#518—731no—
960C4×#41—731no—
961C4×#41—731no—
962C4×#41—731no—
963C4×#41—731no—
964C4×#41—1461no—
965C4×#41—1461no—
966C4×#41—1461no—
967C2×C4×Q8—731no—
968C2×C4×Q8—731no—
969C2×C4×Q8—731no—
970C2×C4×Q8—1461no—
971#482—731no—
972#482—731no—
973#482—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482C2×D7311yescharacteristic, complemented
978#482C2×D7311yescharacteristic, complemented
979#481—731no—
980#481—731no—
981#481—731no—
982#481—731no—
983#480—731no—
984#480—731no—
985#480—731no—
986#480—731no—
987#479—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#479C2×D7311yescharacteristic, complemented
992#479C2×D7311yescharacteristic, complemented
993#478—731no—
994#478—731no—
995#477—731no—
996#477—731no—
997#477—731no—
998#476—731no—
999#475—731no—
1000#475—731no—
1001#475—731no—
1002#474—731no—
1003#460—731no—
1004#460—731no—
1005#460—731no—
1006#460—731no—
1007#460—731no—
1008#460—731no—
1009#460—731no—
1010#460—731no—
1011#460—731no—
1012#460—731no—
1013#460C2×D7311yescharacteristic
1014#460C2×D7311yescharacteristic
1015#459—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#449—731no—
1020#449—731no—
1021#449—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#449—731no—
1027#448—731no—
1028#448—731no—
1029#448—731no—
1030#448—731no—
1031#448—731no—
1032#448—731no—
1033#448C2×D7311yescharacteristic, complemented
1034#448C2×D7311yescharacteristic, complemented
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440C2×D7311yescharacteristic, complemented
1050#440C2×D7311yescharacteristic, complemented
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16—731no—
1057C4×SD16—731no—
1058C4×SD16—731no—
1059C4×SD16—731no—
1060C4×SD16—731no—
1061C4×SD16C2×D7311yescharacteristic, complemented
1062C4×SD16C2×D7311yescharacteristic, complemented
1063C4×D8—731no—
1064C4×D8—731no—
1065C4×D8—731no—
1066C4×D8—731no—
1067#433—731no—
1068#433—731no—
1069#433—731no—
1070#433C2×D7311yescharacteristic, complemented
1071#432—731no—
1072#432—731no—
1073#431—731no—
1074#431—731no—
1075#428—731no—
1076#428—731no—
1077#427—731no—
1078#427—731no—
1079#423—731no—
1080C2×C4⋊C8—731no—
1081#419—731no—
1082#419—731no—
1083#418—731no—
1084#418—731no—
1085#416—731no—
1086#416—731no—
1087C2×#102—731no—
1088C2×#102—731no—
1089#408—731no—
1090#408—731no—
1091#405—731no—
1092#405—731no—
10932−1+4—1464no—
10942−1+4—1464no—
1095C2×#41—731no—
1096C2×#41—731no—
1097C2×#41—731no—
1098C2×#41—731no—
1099C2×#41—1461no—
1100C2×#41—1461no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41—1461no—
1104C2×#41—1461no—
1105C2×#41—1461no—
1106C22×Q8—731no—
1107C22×Q8—731no—
1108C22×Q8—1461no—
1109C22×Q8C22×D7311yescharacteristic
1110C22×D4—731no—
1111C22×D4—731no—
1112C22×D4—1461no—
1113C22×D4—1461no—
1114AGL(1,ℤ/8)—1464no—
1115AGL(1,ℤ/8)—1464no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—1464no—
1125C2×SD16—1464no—
1126C2×SD16C22×D7311yescharacteristic
1127C2×SD16C22×D7311yescharacteristic
1128C2×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×D8—731no—
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×M16—731no—
1135C2×M16—731no—
1136C22×C8—731no—
1137C22×C8—731no—
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140#127—731no—
1141#127—731no—
1142#127—731no—
1143#127—1461no—
1144#127—1461no—
1145#127—1461no—
1146#127—1461no—
1147#127C22×D7311yescharacteristic
1148#125—731no—
1149#125C22×D7311yescharacteristic
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#123—21no—
1157#123—21no—
1158#123—1461no—
1159#123—1461no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166#121—21no—
1167#121—21no—
1168#121—731no—
1169#121—731no—
1170#121—731no—
1171#121—731no—
1172#121—731no—
1173#121—731no—
1174#121—1461no—
1175#121—1461no—
1176#121—1461no—
1177#121—1461no—
1178#121—1461no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121C22×D7311yescharacteristic
1185#121C22×D7311yescharacteristic
1186#120—1461no—
1187#120—1461no—
1188#120—1461no—
1189#120—1461no—
1190C4×Q8—21no—
1191C4×Q8—21no—
1192C4×Q8—731no—
1193C4×Q8—731no—
1194C4×Q8—731no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8—1461no—
1209C4×Q8—1461no—
1210C4×Q8—1461no—
1211C4×Q8—1461no—
1212C4×Q8—1461no—
1213C4×Q8—1461no—
1214C4×Q8—1461no—
1215C4×Q8C22×D7311yescharacteristic
1216C4×Q8C22×D7311yescharacteristic
1217C4×Q8C22×D7311yescharacteristic
1218C4×Q8C22×D7311yescharacteristic
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—731no—
1226C4×D4—731no—
1227C4×D4—731no—
1228C4×D4—731no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4C22×D7311yescharacteristic
1259C4×D4C22×D7311yescharacteristic
1260#117—21no—
1261#117—21no—
1262#117—731no—
1263#117—731no—
1264#117—731no—
1265#117—731no—
1266#117—731no—
1267#117—731no—
1268#117—1461no—
1269#117—1461no—
1270#117—1461no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117C22×D7311yescharacteristic
1279#117C22×D7311yescharacteristic
1280C2×C4⋊C4—731no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—731no—
1283C2×C4⋊C4—1461no—
1284C2×C4⋊C4—1461no—
1285C2×C4⋊C4—1461no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4—1461no—
1288C2×C4⋊C4—1461no—
1289C2×C22⋊C4—1461no—
1290C2×C22⋊C4—1461no—
1291C2×C22⋊C4—1461no—
1292C2×C22⋊C4—1461no—
1293C2×C42—731no—
1294C2×C42—731no—
1295C2×C42—731no—
1296C2×C42—1461no—
1297C2×C42—1461no—
1298C2×C42—1461no—
1299C2×C42—1461no—
1300C2×C42—1461no—
1301C2×C42—1461no—
1302#107—731no—
1303#107—731no—
1304#107—731no—
1305#107—731no—
1306#107—731no—
1307#107—731no—
1308#107C22×D7311yescharacteristic
1309#107C22×D7311yescharacteristic
1310#106—731no—
1311#106—731no—
1312#106—731no—
1313#106—731no—
1314#106—731no—
1315#106—731no—
1316#106C22×D7311yescharacteristic
1317#106C22×D7311yescharacteristic
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8C22×D7311yescharacteristic
1325C4⋊C8C22×D7311yescharacteristic
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
1336#103C22×D7311yescharacteristic
1337#103C22×D7311yescharacteristic
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102C22×D7311yescharacteristic
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358C22⋊C8—731no—
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8—731no—
1364C22⋊C8C22×D7311yescharacteristic
1365C22⋊C8C22×D7311yescharacteristic
1366#97—731no—
1367#97—731no—
1368#97—731no—
1369#97C22×D7311yescharacteristic
1370C4×C8—731no—
1371C4×C8—731no—
1372C4×C8—731no—
1373C4×C8C22×D7311yescharacteristic
1374C24—1461no—
1375C24—1461no—
1376#41—5842no—
1377#41—5842no—
1378#41—5842no—
1379#41—5842no—
1380#41—734no—
1381#41—1462no—
1382#41—1462no—
1383#41—1462no—
1384#41—1462no—
1385#41—1468no—
1386#41—1468no—
1387#41—1462no—
1388#41—1462no—
1389#41—1468no—
1390#41—1462no—
1391C2×Q8—22no—
1392C2×Q8—22no—
1393C2×Q8—21no—
1394C2×Q8—731no—
1395C2×Q8—734no—
1396C2×Q8—731no—
1397C2×Q8—1461no—
1398C2×Q8—1461no—
1399C2×Q8—1461no—
1400C2×Q8—1461no—
1401C2×Q8—1462no—
1402C2×Q8—1462no—
1403C2×Q8—1468no—
1404C2×Q8—1462no—
1405C2×Q8C23×D7311yescharacteristic
1406C2×Q8C23×D7311yescharacteristic
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—5842no—
1412C2×D4—5842no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—731no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1462no—
1424C2×D4—1462no—
1425C2×D4—1462no—
1426C2×D4—1462no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4—1461no—
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—731no—
1452C22×C4—731no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4—1461no—
1465C22×C4—1461no—
1466C22×C4—1461no—
1467C22×C4—1461no—
1468C22×C4—1461no—
1469C22×C4—1461no—
1470C22×C4—1461no—
1471C22×C4C23×D7311yescharacteristic
1472SD16—22no—
1473SD16—22no—
1474SD16—22no—
1475SD16—22no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479SD16—1462no—
1480SD16—1462no—
1481SD16—1462no—
1482SD16—1462no—
1483SD16—1462no—
1484D8—1462no—
1485D8—1462no—
1486D8—1462no—
1487D8—1462no—
1488M16—1462no—
1489M16—1462no—
1490C2×C8—731no—
1491C2×C8—731no—
1492C2×C8—731no—
1493C2×C8—731no—
1494C2×C8—1462no—
1495C2×C8—1462no—
1496C2×C8C23×D7311yescharacteristic
1497C2×C8C23×D7311yescharacteristic
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4D4×D7311yescharacteristic
1530C4⋊C4D4×D7311yescharacteristic
1531C4⋊C4C23×D7311yescharacteristic
1532C4⋊C4C23×D7311yescharacteristic
1533C4⋊C4C23×D7311yescharacteristic
1534C4⋊C4C23×D7311yescharacteristic
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
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—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4D4×D7311yescharacteristic
1565C22⋊C4D4×D7311yescharacteristic
1566C42—21no—
1567C42—21no—
1568C42—21no—
1569C42—21no—
1570C42—21no—
1571C42—731no—
1572C42—731no—
1573C42—731no—
1574C42—731no—
1575C42—731no—
1576C42—731no—
1577C42—731no—
1578C42—731no—
1579C42—1461no—
1580C42—1461no—
1581C42—1461no—
1582C42—1461no—
1583C42—1461no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42—1461no—
1590C42—1461no—
1591C42C23×D7311yescharacteristic
1592C42C23×D7311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—2922no—
1596C23—2922no—
1597C23—5841no—
1598C23—5841no—
1599C23—5841no—
1600C23—5841no—
1601C23—731no—
1602C23—731no—
1603C23—1461no—
1604C23—1461no—
1605C23—1461no—
1606C23C2×D4×D7311yescharacteristic
1607Q8—24no—
1608Q8—21no—
1609Q8—21no—
1610Q8—2922no—
1611Q8—2922no—
1612Q8—732no—
1613Q8—1464no—
1614Q8—1462no—
1615Q8—1464no—
1616Q8—1461no—
1617Q8#41×D7312yes—
1618Q8#41×D7312yes—
1619D4—21no—
1620D4—21no—
1621D4—21no—
1622D4—21no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—2922no—
1628D4—2922no—
1629D4—2922no—
1630D4—2922no—
1631D4—2922no—
1632D4—2922no—
1633D4—5841no—
1634D4—5841no—
1635D4—5841no—
1636D4—5841no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—732no—
1642D4—1462no—
1643D4—1464no—
1644D4—1464no—
1645D4—1462no—
1646D4—1462no—
1647D4—1464no—
1648D4—1461no—
1649D4—1461no—
1650D4—1461no—
1651D4—1461no—
1652D4—1461no—
1653C2×C4—24no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—2921no—
1665C2×C4—2921no—
1666C2×C4—2922no—
1667C2×C4—2921no—
1668C2×C4—5841no—
1669C2×C4—5841no—
1670C2×C4—5841no—
1671C2×C4—5841no—
1672C2×C4—5841no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—5841no—
1680C2×C4—731no—
1681C2×C4—731no—
1682C2×C4—732no—
1683C2×C4—732no—
1684C2×C4—731no—
1685C2×C4—731no—
1686C2×C4—731no—
1687C2×C4—731no—
1688C2×C4—1462no—
1689C2×C4—1462no—
1690C2×C4—1464no—
1691C2×C4—1464no—
1692C2×C4—1464no—
1693C2×C4—1464no—
1694C2×C4—1464no—
1695C2×C4—1461no—
1696C2×C4—1461no—
1697C2×C4—1461no—
1698C2×C4—1461no—
1699C2×C4—1462no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4C2×D4×D7311yescharacteristic
1704C2×C4C2×D4×D7311yescharacteristic
1705C2×C4C2×D4×D7311yescharacteristic
1706C2×C4C2×D4×D7311yescharacteristic
1707C2×C4C2×D4×D7311yescharacteristic
1708C2×C4C24×D7311yescharacteristic
1709C8—21no—
1710C8—21no—
1711C8—21no—
1712C8—21no—
1713C8—1461no—
1714C8—1461no—
1715C8—1461no—
1716C8—1461no—
1717C22—21no—
1718C22—21no—
1719C22—21no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—2921no—
1730C22—2921no—
1731C22—2921no—
1732C22—2921no—
1733C22—2921no—
1734C22—732no—
1735C22—11682no—
1736C22—11682no—
1737C22—1461no—
1738C22—1462no—
1739C22—1461no—
1740C22—1461no—
1741C22—1461no—
1742C22—1461no—
1743C22C22×D4×D7311yescharacteristic
1744C4—21no—
1745C4—21no—
1746C4—22no—
1747C4—22no—
1748C4—21no—
1749C4—21no—
1750C4—21no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—2921no—
1756C4—2921no—
1757C4—2921no—
1758C4—2921no—
1759C4—732no—
1760C4—732no—
1761C4—1461no—
1762C4—1461no—
1763C4—1462no—
1764C4—1461no—
1765C4—1461no—
1766C4C2×#41×D7311yescharacteristic
1767C4C2×#41×D7311yescharacteristic
1768C2—41no—
1769C2—81no—
1770C2—81no—
1771C2—2922no—
1772C2—2921no—
1773C2—5841no—
1774C2—5841no—
1775C2—1462no—
1776C2#525×D7311yescharacteristic
1777C2#577×D7311yescharacteristic
1778C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3126C2
socleC22×C73C23×D4
hypercenter#3126D73
hypocenterC73#60593
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3126

Complements

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

NH ≅ G/Ntype
1. #22623803C2semidirect
2. #22623140C2semidirect
3. #22620224C2semidirect
4. #22620222C2semidirect
5. #22620220C2semidirect
6. #22620137C2semidirect
7. #22620132C2semidirect
8. #22620129C2semidirect
9. #22620124C2semidirect
10. #22620080C2semidirect
11. #22620077C2semidirect
12. #22620051C2semidirect
13. #22620048C2semidirect
14. #22619989C2semidirect
15. #22619986C2semidirect
16. #22619960C2semidirect
17. #22619957C2semidirect
18. #22619886C2semidirect
19. #22619884C2semidirect
20. #22619734C2semidirect
21. #22619718C2semidirect
22. #22619408C2semidirect
23. #460×D73C2semidirect
24. #22619212C2semidirect
25. #22619212C2semidirect
26. #22618787C2semidirect
27. #22618785C2semidirect
28. #22618762C2semidirect
29. #22618758C2semidirect
30. #22618594C2semidirect
31. C73×#3126C2semidirect
58. #17989069C22semidirect
62. #17989067C22semidirect
65. #17989063C22semidirect
70. C4×#11924029C22semidirect
74. #17989055C22semidirect
75. C2×Q8×Dic73C22semidirect
78. C4×Q8×D73C22semidirect
79. #17988914C22semidirect
80. #17988913C22semidirect
81. #17988911C22semidirect
82. #17988911C22semidirect
83. #17988910C22semidirect
84. #17988909C22semidirect
85. #17988907C22semidirect
86. #17988906C22semidirect
87. #17988904C22semidirect
88. #17988903C22semidirect
89. #17988902C22semidirect
90. #17988901C22semidirect
91. #17988899C22semidirect
92. #17988898C22semidirect
93. #17988895C22semidirect
94. #17988894C22semidirect
95. #17988894C22semidirect
96. #17988891C22semidirect
97. #17988888C22semidirect
98. #17988884C22semidirect
99. #17988881C22semidirect
100. #17988880C22semidirect
101. #17988880C22semidirect
102. #17988876C22semidirect
103. #17988871C22semidirect
104. #17988870C22semidirect
105. #17988870C22semidirect
106. #17988866C22semidirect
121. #17988735C22semidirect
122. #17988735C22semidirect
123. #17988734C22semidirect
124. #17988734C22semidirect
125. #17988731C22semidirect
126. #17988731C22semidirect
127. #17988730C22semidirect
128. #17988730C22semidirect
129. #17988727C22semidirect
130. #17988727C22semidirect
131. #17988726C22semidirect
132. #17988726C22semidirect
133. #17988724C22semidirect
134. #17988724C22semidirect
135. #17988700C22semidirect
136. #17988698C22semidirect
137. #17988697C22semidirect
138. #17988696C22semidirect
139. #17988690C22semidirect
140. #17988690C22semidirect
141. #17988689C22semidirect
142. #17988688C22semidirect
143. #17988688C22semidirect
144. #17988687C22semidirect
145. #17988686C22semidirect
146. #17988685C22semidirect
147. #17988685C22semidirect
148. #17988684C22semidirect
149. #17988678C22semidirect
150. C4×#11924017C22semidirect
151. SD16×Dic73C22semidirect
152. SD16×Dic73C22semidirect
153. C4×#11924015C22semidirect
154. C4×#11924015C22semidirect
155. #17988674C22semidirect
156. C4×#11924016C22semidirect
157. #17988672C22semidirect
158. #17988672C22semidirect
159. C4×D584C22semidirect
160. #17988669C22semidirect
161. C4×#11924013C22semidirect
162. #17988667C22semidirect
163. #17988648C22semidirect
164. #17988647C22semidirect
165. #17988647C22semidirect
166. #17988642C22semidirect
167. #17988641C22semidirect
168. #17988638C22semidirect
169. #17988637C22semidirect
189. #519×C73C22semidirect
190. #482×C73C22semidirect
191. #482×C73C22semidirect
192. #479×C73C22semidirect
193. #479×C73C22semidirect
196. #448×C73C22semidirect
197. #448×C73C22semidirect
198. #440×C73C22semidirect
199. #440×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. #433×C73C22semidirect
490. #11924029#41semidirect
511. Q8×D73#41semidirect
895. #3126D73semidirect
921. C73#60593semidirect
957. #519C2×D73semidirect
977. #482C2×D73semidirect
978. #482C2×D73semidirect
991. #479C2×D73semidirect
992. #479C2×D73semidirect
1033. #448C2×D73semidirect
1034. #448C2×D73semidirect
1049. #440C2×D73semidirect
1050. #440C2×D73semidirect
1061. C4×SD16C2×D73semidirect
1062. C4×SD16C2×D73semidirect
1070. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238032
#226231402
#226202242
#226202222
#226202202
#226201372
#226201322
#226201292
#226201242
#226200802
#226200772
#226200512
#226200482
#226199892
#226199862
#226199602
#226199572
#226198862
#226198842
#226197342
#226197182
#226194082
#460×D732
#226192122
#226187872
#226187852
#226187622
#226187582
#226185942
C73×#31262
#6059373