Finite Group Databasebeta

← #33954474

Subgroups — #33954474

Order 18688.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623322C211yesmaximal, characteristic, complemented
2#520×D73C211yesmaximal, characteristic, complemented
3#22620206C211yesmaximal, characteristic, complemented
4#22620204C211yesmaximal, characteristic, complemented
5#22620203C211yesmaximal, characteristic, complemented
6#22620201C211yesmaximal, characteristic, complemented
7#22620199C211yesmaximal, characteristic, complemented
8#22620197C211yesmaximal, characteristic, complemented
9#22620196C211yesmaximal, characteristic, complemented
10#22620194C211yesmaximal, characteristic, complemented
11#22620144C211yesmaximal, characteristic, complemented
12#22620142C211yesmaximal, characteristic, complemented
13#22620139C211yesmaximal, characteristic, complemented
14#22620137C211yesmaximal, characteristic, complemented
15#22620135C211yesmaximal, characteristic, complemented
16#22620132C211yesmaximal, characteristic, complemented
17#22620130C211yesmaximal, characteristic, complemented
18#22619858C211yesmaximal, characteristic, complemented
19#22619855C211yesmaximal, characteristic, complemented
20#22619734C211yesmaximal, characteristic, complemented
21#22619726C211yesmaximal, characteristic, complemented
22#22619404C211yesmaximal, characteristic, complemented
23#22619396C211yesmaximal, characteristic, complemented
24#22619174C211yesmaximal, characteristic, complemented
25#22619174C211yesmaximal, characteristic, complemented
26C4×#14556623C211yesmaximal, characteristic, complemented
27#22618747C211yesmaximal, characteristic, complemented
28C4×#14556618C211yesmaximal, characteristic, complemented
29#22618736C211yesmaximal, characteristic, complemented
30#22618565C211yesmaximal, characteristic, complemented
31C73×#3120C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic
33C2×#14556623C2211yescharacteristic
34C2×#14556623C2211yescharacteristic
35C2×#14556618C2211yescharacteristic
36C2×#14556618C2211yescharacteristic
37#17989210C2211yescharacteristic, complemented
38#17989210C2211yescharacteristic, complemented
39#17989209C2211yescharacteristic, complemented
40#17989209C2211yescharacteristic, complemented
41#17989198C2211yescharacteristic, complemented
42#17989193C2211yescharacteristic, complemented
43#17989192C2211yescharacteristic, complemented
44#17989185—21no—
45#17989185—21no—
46#17989176—21no—
47#17989176—21no—
48#17989143C2211yescharacteristic
49#17989138C2211yescharacteristic
50#17989122—21no—
51#17989122—21no—
52#17989120—21no—
53#17989120—21no—
54#17989100C2211yescharacteristic
55#17989100C2211yescharacteristic
56#17989070C2211yescharacteristic
57#17989069C2211yescharacteristic
58#17989069C2211yescharacteristic
59#17989068—21no—
60#17989068C2211yescharacteristic
61#17989067—21no—
62#17989067C2211yescharacteristic
63#17989066—21no—
64#17989066—21no—
65#17989066C2211yescharacteristic
66#17989066C2211yescharacteristic
67C4×#11924029C2211yescharacteristic
68C4×#11924029C2211yescharacteristic
69C4×Q8×D73C2211yescharacteristic
70C4×Q8×D73C2211yescharacteristic
71C4×D4×D73—21no—
72C4×D4×D73—21no—
73C4×D4×D73C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#117×D73—21no—
76#117×D73C2211yescharacteristic
77C2×C4⋊C4×D73—21no—
78C2×C4⋊C4×D73C2211yescharacteristic
79#17988921C2211yescharacteristic, complemented
80#17988921C2211yescharacteristic, complemented
81#17988920C2211yescharacteristic, complemented
82#17988916C2211yescharacteristic, complemented
83#17988916C2211yescharacteristic, complemented
84#17988915C2211yescharacteristic, complemented
85#17988907C2211yescharacteristic, complemented
86#17988907C2211yescharacteristic, complemented
87#17988906C2211yescharacteristic, complemented
88#17988905C2211yescharacteristic, complemented
89#17988902C2211yescharacteristic, complemented
90#17988902C2211yescharacteristic, complemented
91#17988901C2211yescharacteristic, complemented
92#17988900C2211yescharacteristic, complemented
93#17988895C2211yescharacteristic, complemented
94#17988894C2211yescharacteristic, complemented
95#17988891C2211yescharacteristic, complemented
96#17988888C2211yescharacteristic, complemented
97#17988887C2211yescharacteristic, complemented
98#17988884C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988875C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic, complemented
106#17988865C2211yescharacteristic, complemented
107#17988812C2211yescharacteristic, complemented
108#17988812C2211yescharacteristic, complemented
109#17988811C2211yescharacteristic, complemented
110#17988811C2211yescharacteristic, complemented
111#17988805C2211yescharacteristic, complemented
112#17988805C2211yescharacteristic, complemented
113#17988804C2211yescharacteristic, complemented
114#17988804C2211yescharacteristic, complemented
115#17988794C2211yescharacteristic, complemented
116#17988789C2211yescharacteristic, complemented
117#17988788C2211yescharacteristic, complemented
118#17988787C2211yescharacteristic, complemented
119#17988783C2211yescharacteristic, complemented
120#17988782C2211yescharacteristic, complemented
121#17988748C2211yescharacteristic
122#17988748C2211yescharacteristic
123#17988747C2211yescharacteristic
124#17988747C2211yescharacteristic
125#17988746C2211yescharacteristic
126#17988746C2211yescharacteristic
127#17988735C2211yescharacteristic
128#17988735C2211yescharacteristic
129#17988734C2211yescharacteristic
130#17988734C2211yescharacteristic
131#17988733C2211yescharacteristic
132#17988733C2211yescharacteristic
133#17988732C2211yescharacteristic
134#17988732C2211yescharacteristic
135#17988700C2211yescharacteristic, complemented
136#17988698C2211yescharacteristic, complemented
137#17988697C2211yescharacteristic, complemented
138#17988696C2211yescharacteristic, complemented
139#17988694C2211yescharacteristic, complemented
140#17988692C2211yescharacteristic, complemented
141#17988691C2211yescharacteristic, complemented
142#17988690C2211yescharacteristic, complemented
143#17988690C2211yescharacteristic, complemented
144#17988689C2211yescharacteristic, complemented
145#17988688C2211yescharacteristic, complemented
146#17988686C2211yescharacteristic, complemented
147#17988685C2211yescharacteristic, complemented
148#17988685C2211yescharacteristic, complemented
149Q16×Dic73C2211yescharacteristic, complemented
150C4×#11924018C2211yescharacteristic, complemented
151#17988679C2211yescharacteristic, complemented
152C4×#11924017C2211yescharacteristic, complemented
153SD16×Dic73C2211yescharacteristic, complemented
154C4×#11924015C2211yescharacteristic, complemented
155C4×#11924015C2211yescharacteristic, complemented
156#17988674C2211yescharacteristic, complemented
157#17988672C2211yescharacteristic, complemented
158#17988672C2211yescharacteristic, complemented
159C4×D584C2211yescharacteristic, complemented
160#17988669C2211yescharacteristic, complemented
161C4×#11924013C2211yescharacteristic, complemented
162#17988667C2211yescharacteristic, complemented
163#17988649C2211yescharacteristic, complemented
164#17988648C2211yescharacteristic, complemented
165#17988647C2211yescharacteristic, complemented
166#17988647C2211yescharacteristic, complemented
167#17988646C2211yescharacteristic, complemented
168#17988645C2211yescharacteristic, complemented
169#17988645C2211yescharacteristic, complemented
170#17988628C2211yescharacteristic
171#17988628C2211yescharacteristic
172#17988626C2211yescharacteristic
173#17988626C2211yescharacteristic
174#17988609C2211yescharacteristic
175#17988609C2211yescharacteristic
176#17988594C2211yescharacteristic
177#17988594C2211yescharacteristic
178#17988590C2211yescharacteristic
179#17988590C2211yescharacteristic
180#17988587C2211yescharacteristic
181#17988587C2211yescharacteristic
182#17988587C2211yescharacteristic
183#17988587C2211yescharacteristic
184#17988549C2211yescharacteristic
185#17988549C2211yescharacteristic
186#17988539C2211yescharacteristic
187C4×#11924011C2211yescharacteristic
188#541×C73C2211yescharacteristic, complemented
189#520×C73C2211yescharacteristic
190#484×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#479×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#462×C73C2211yescharacteristic, complemented
195#461×C73C2211yescharacteristic, complemented
196#452×C73C2211yescharacteristic
197#452×C73C2211yescharacteristic
198#441×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×Q16×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027C2311yescharacteristic
210#41×D73—24no—
211#41×D73—24no—
212C2×Q8×D73C2311yescharacteristic
213C2×D4×D73—21no—
214C2×D4×D73C2311yescharacteristic
215C22×C4×D73—21no—
216C22×C4×D73—21no—
217C22×C4×D73—21no—
218C22×C4×D73—21no—
219C22×C4×D73C2311yescharacteristic
220#14556623—24no—
221#14556623—24no—
222#14556618—24no—
223#14556618—24no—
224C2×#11924018C2311yescharacteristic
225C2×#11924018C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924011C2311yescharacteristic
237C2×#11924011C2311yescharacteristic
238C2×#11924011C2311yescharacteristic
239C2×#11924011C2311yescharacteristic
240#14556590C2311yescharacteristic
241#14556590C2311yescharacteristic
242#14556588C2311yescharacteristic
243#14556586—21no—
244#14556586—21no—
245#14556586—21no—
246#14556586—21no—
247#14556585—21no—
248#14556585—21no—
249#14556583C2311yescharacteristic
250#14556581—21no—
251#14556581—21no—
252#14556580C2311yescharacteristic
253#14556580C2311yescharacteristic
254#14556579—21no—
255#14556579—21no—
256#14556577—21no—
257#14556577—21no—
258#14556576—21no—
259#14556576—21no—
260#14556576—21no—
261#14556576—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556573—21no—
267#14556573—21no—
268#14556571—21no—
269#14556571—21no—
270#14556569—21no—
271#14556569—21no—
272#14556569—21no—
273#14556569—21no—
274#14556567C2311yescharacteristic
275#14556567C2311yescharacteristic
276#14556566—21no—
277#14556566—21no—
278#14556566—21no—
279#14556566—21no—
280#14556566C2311yescharacteristic
281#14556566C2311yescharacteristic
282#14556565C2311yescharacteristic
283#14556565C2311yescharacteristic
284#14556564—21no—
285#14556564—21no—
286#14556561—21no—
287#14556561—21no—
288Q8×Dic73C2311yescharacteristic
289Q8×Dic73C2311yescharacteristic
290Q8×Dic73C2311yescharacteristic
291Q8×Dic73C2311yescharacteristic
292C4×Dic146—21no—
293C4×Dic146—21no—
294C4×Dic146C2311yescharacteristic
295C4×Dic146C2311yescharacteristic
296#14556556—21no—
297#14556556—21no—
298#14556556—21no—
299#14556556—21no—
300#14556556C2311yescharacteristic
301#14556556C2311yescharacteristic
302C4×D292—21no—
303C4×D292—21no—
304C4×D292—21no—
305C4×D292—21no—
306C4×D292C2311yescharacteristic
307C4×D292C2311yescharacteristic
308C4×D292C2311yescharacteristic
309C4×D292C2311yescharacteristic
310D4×Dic73—21no—
311D4×Dic73—21no—
312D4×Dic73C2311yescharacteristic
313D4×Dic73C2311yescharacteristic
314#14556553—21no—
315#14556553—21no—
316#14556553—21no—
317#14556553—21no—
318#14556553—21no—
319#14556553—21no—
320#14556553—21no—
321#14556553—21no—
322#14556553C2311yescharacteristic
323#14556553C2311yescharacteristic
324#14556553C2311yescharacteristic
325#14556553C2311yescharacteristic
326C4×C22⋊D73—21no—
327C4×C22⋊D73—21no—
328C4×C22⋊D73—21no—
329C4×C22⋊D73—21no—
330C4×C22⋊D73—21no—
331C4×C22⋊D73—21no—
332#14556551—21no—
333#14556551—21no—
334#14556551—21no—
335#14556551—21no—
336#14556551—21no—
337#14556551—21no—
338#14556551—21no—
339#14556551—21no—
340#14556550—21no—
341#14556550C2311yescharacteristic
342#14556549—21no—
343#14556549—21no—
344#14556549—21no—
345#14556549—21no—
346#14556549D411yescharacteristic
347#14556549D411yescharacteristic
348#14556549C2311yescharacteristic
349#14556549C2311yescharacteristic
350#14556548—21no—
351#14556548—21no—
352#14556548C2311yescharacteristic
353#14556548C2311yescharacteristic
354#14556547—21no—
355#14556547—21no—
356#14556547D411yescharacteristic
357#14556547D411yescharacteristic
358C2×C4⋊Dic73—21no—
359C2×C4⋊Dic73C2311yescharacteristic
360C2×#11924007—21no—
361C2×#11924007—21no—
362C2×#11924007—21no—
363C4⋊C4×D73—21no—
364C4⋊C4×D73—21no—
365C4⋊C4×D73—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73—21no—
371C4⋊C4×D73D411yescharacteristic
372C4⋊C4×D73D411yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73D411yescharacteristic
380C22⋊C4×D73D411yescharacteristic
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#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
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
441C2×#41×C73C2311yescharacteristic
442C2×Q16×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C4⋊Q8×C73C2311yescharacteristic
447#126×C73—21no—
448#126×C73—21no—
449#125×C73—21no—
450#125×C73—21no—
451#125×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73—21no—
463#117×C73C2311yescharacteristic
464C2×C4⋊C4×C73—21no—
465C2×C4⋊C4×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#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73C2×D411yescharacteristic
486#11924029—22no—
487#11924029—22no—
488#11924029—22no—
489#11924029—22no—
490#11924029—22no—
491#11924029—22no—
492#11924028—28no—
493#11924028—22no—
494#11924028—22no—
495#11924027—28no—
496#11924027—22no—
497#11924027—22no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—21no—
501C2×Dic146C2411yescharacteristic
502Q8×D73—22no—
503Q8×D73#4114yes—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519D4×D73—28no—
520D4×D73—22no—
521D4×D73#4114yes—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73C2×D411yescharacteristic
527C2×C4×D73—28no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—22no—
532C2×C4×D73—22no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—82no—
548C2×C4×D73—82no—
549C2×C4×D73—82no—
550C2×C4×D73C2×D411yescharacteristic
551C2×C4×D73C2×D411yescharacteristic
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2×D411yescharacteristic
554C2×C4×D73C2×D411yescharacteristic
555C2×C4×D73C2×D411yescharacteristic
556C2×C4×D73C2411yescharacteristic
557C2×C4×D73C2411yescharacteristic
558#11924018—22no—
559#11924018—22no—
560#11924017—22no—
561#11924017—22no—
562#11924015—22no—
563#11924015—22no—
564#11924015—22no—
565#11924015—22no—
566D584—22no—
567D584—22no—
568#11924013—22no—
569#11924013—22no—
570#11924011—22no—
571#11924011—22no—
572#11924011—22no—
573#11924011—22no—
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2×D411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73C2×D411yescharacteristic
610C22⋊Dic73C2×D411yescharacteristic
611#11924005—21no—
612#11924005—21no—
613#11924005—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#11924005—21no—
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
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×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2411yescharacteristic
650C4×Dic73C2411yescharacteristic
651#41×C73—22no—
652#41×C73—22no—
653C2×Q8×C73C2411yescharacteristic
654C2×Q8×C73C2411yescharacteristic
655C2×Q8×C73C2411yescharacteristic
656C2×D4×C73—21no—
657C2×D4×C73C2411yescharacteristic
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73—21no—
661C22×C4×C73—21no—
662C22×C4×C73C2411yescharacteristic
663Q16×C73—22no—
664Q16×C73—22no—
665SD16×C73—22no—
666SD16×C73—22no—
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73—21no—
677C4⋊C4×C73—21no—
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73C2×D411yescharacteristic
683C4⋊C4×C73C2×D411yescharacteristic
684C4⋊C4×C73C2411yescharacteristic
685C4⋊C4×C73C2411yescharacteristic
686C4⋊C4×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C22⋊C4×C73—21no—
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73C2×D411yescharacteristic
693C22⋊C4×C73C2×D411yescharacteristic
694C42×C73—21no—
695C42×C73—21no—
696C42×C73—21no—
697C42×C73—21no—
698C42×C73C2411yescharacteristic
699C42×C73C2411yescharacteristic
700C23×C73—21no—
701C23×C73C22×D411yescharacteristic
702C22×D73—21no—
703C22×D73—22no—
704C22×D73—24no—
705C22×D73—21no—
706C22×D73—21no—
707C22×D73—41no—
708C22×D73—41no—
709C22×D73—42no—
710C22×D73—42no—
711C22×D73C22×D411yescharacteristic
712C22×D73C22×D411yescharacteristic
713Q8×C73—21no—
714Q8×C73—21no—
715Q8×C73—21no—
716Q8×C73—21no—
717Q8×C73—21no—
718Q8×C73C2×#4112yes—
719D4×C73—24no—
720D4×C73—21no—
721D4×C73C2×#4112yes—
722C2×C4×C73—24no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—81no—
733C2×C4×C73—81no—
734C2×C4×C73—81no—
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C2511yescharacteristic
741C22⋊D73—24no—
742C22⋊D73—24no—
743C22⋊D73—24no—
744C22⋊D73—81no—
745C22⋊D73—81no—
746C2×Dic73—24no—
747C2×Dic73—21no—
748C2×Dic73—22no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—81no—
754C2×Dic73—81no—
755C2×Dic73—81no—
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762D292—24no—
763D292—21no—
764D292—21no—
765D292—21no—
766D292—21no—
767D292—21no—
768D292—42no—
769D292—42no—
770D292—81no—
771D292—81no—
772D292—81no—
773D292—81no—
774D292C2×#4112yes—
775C4×D73—24no—
776C4×D73—24no—
777C4×D73—22no—
778C4×D73—24no—
779C4×D73—21no—
780C4×D73—21no—
781C4×D73—22no—
782C4×D73—41no—
783C4×D73—41no—
784C4×D73—41no—
785C4×D73—41no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73C2×#4112yes—
801C4×D73C2×#4112yes—
802Dic146—21no—
803Dic146—24no—
804Dic146—81no—
805Dic146—81no—
806Dic146C2×#4112yes—
807C8×C73—21no—
808C8×C73—21no—
809C8×C73—21no—
810C8×C73—21no—
811#10596831—21no—
812#10596831—21no—
813#10596831—21no—
814#10596831—21no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—22no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73C23×D411yescharacteristic
822C2×D73—21no—
823C2×D73—21no—
824C2×D73—21no—
825C2×D73—21no—
826C2×D73—21no—
827C2×D73—22no—
828C2×D73—44no—
829C2×D73—48no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73#52512yes—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—21no—
842C4×C73—21no—
843C4×C73—22no—
844C4×C73—21no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73C22×#4111yescharacteristic
852C4×C73C22×#4111yescharacteristic
853Dic73—21no—
854Dic73—21no—
855Dic73—21no—
856Dic73—21no—
857Dic73—22no—
858Dic73—21no—
859Dic73—41no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73#52512yes—
864#60565—731nomaximal, Sylow
865C2×C73—41no—
866C2×C73—42no—
867C2×C73C2×#52511yescharacteristic
868C2×C73#358511yescharacteristic
869C2×C73#358611yescharacteristic
870D73—22no—
871D73—41no—
872D73—42no—
873D73—81no—
874D73—81no—
875#3455—731no—
876C2×#520—731no—
877#3125—731no—
878#3125—731no—
879#3125—731no—
880#3125—731no—
881#3124—731no—
882#3124—731no—
883#3124—731no—
884#3124—731no—
885#3120—731no—
886#3120—731no—
887#3120—731no—
888#3120D7311yescharacteristic, complemented
889#3119—731no—
890#3119—731no—
891#3119—731no—
892#3119—731no—
893#3092—731no—
894#3092—731no—
895#3078—731no—
896#3077—731no—
897#3037—731no—
898#3036—731no—
899#3005—731no—
900#3005—731no—
901C4×#137—731no—
902C4×#137—731no—
903C4×AGL(1,ℤ/8)—731no—
904C4×AGL(1,ℤ/8)—731no—
905#2921—731no—
906C73#6056511yescharacteristic, complemented, Sylow
907C22×#41—731no—
908C2×#137—731no—
909C2×#137—731no—
910C2×AGL(1,ℤ/8)—731no—
911C2×AGL(1,ℤ/8)—731no—
912#542—731no—
913#542—731no—
914#542—731no—
915#542—731no—
916#541—731no—
917#541C2×D7311yescharacteristic, complemented
918#540—731no—
919#540—731no—
920#539—1461no—
921#539—1461no—
922#538—1461no—
923#538—1461no—
924#533—731no—
925#532—731no—
926#529—1461no—
927#529—1461no—
928#529—1461no—
929#529—1461no—
930#525—731no—
931#525—731no—
932#520—731no—
933#520—731no—
934#520—731no—
935#520—731no—
936#520—731no—
937#520—731no—
938#520—731no—
939#520—1461no—
940#520—1461no—
941#520—1461no—
942#520—1461no—
943#520C2×D7311yescharacteristic
944C4×#41—731no—
945C4×#41—731no—
946C2×C4×Q8—731no—
947C2×C4×Q8—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951C2×C4×D4—1461no—
952C2×#117—731no—
953C2×#117—1461no—
954C22×C4⋊C4—731no—
955C22×C4⋊C4—1461no—
956#484—731no—
957#484—731no—
958#484—731no—
959#484C2×D7311yescharacteristic, complemented
960#483—731no—
961#483—731no—
962#483—731no—
963#483C2×D7311yescharacteristic, complemented
964#481—731no—
965#481—731no—
966#481—731no—
967#481—731no—
968#480—731no—
969#480—731no—
970#480—731no—
971#480—731no—
972#479—731no—
973#479—731no—
974#479—731no—
975#479C2×D7311yescharacteristic, complemented
976#478—731no—
977#478—731no—
978#478—731no—
979#478C2×D7311yescharacteristic, complemented
980#477—731no—
981#477—731no—
982#476—731no—
983#476—731no—
984#475—731no—
985#475—731no—
986#474—731no—
987#474—731no—
988#464—731no—
989#464—731no—
990#464—731no—
991#464—731no—
992#463—731no—
993#463—731no—
994#463—731no—
995#463—731no—
996#462—731no—
997#462C2×D7311yescharacteristic, complemented
998#461—731no—
999#461C2×D7311yescharacteristic, complemented
1000#460—731no—
1001#460—731no—
1002#459—731no—
1003#459—731no—
1004#452—731no—
1005#452—731no—
1006#452—731no—
1007#452—731no—
1008#452—731no—
1009#452—731no—
1010#452C2×D7311yescharacteristic
1011#452C2×D7311yescharacteristic
1012#449—731no—
1013#449—731no—
1014#449—731no—
1015#449—731no—
1016#449—731no—
1017#449—731no—
1018#449—731no—
1019#449—731no—
1020#442—731no—
1021#442—731no—
1022#442—731no—
1023#442—731no—
1024#441—731no—
1025#441—731no—
1026#441—731no—
1027#441C2×D7311yescharacteristic, complemented
1028#440—731no—
1029#440—731no—
1030#440—731no—
1031#440—731no—
1032#440—731no—
1033#440—731no—
1034#440—731no—
1035#440C2×D7311yescharacteristic, complemented
1036C4×Q16—731no—
1037C4×Q16—731no—
1038C4×Q16—731no—
1039C4×Q16C2×D7311yescharacteristic, complemented
1040C4×SD16—731no—
1041C4×SD16—731no—
1042C4×SD16—731no—
1043C4×SD16—731no—
1044C4×SD16—731no—
1045C4×SD16—731no—
1046C4×SD16—731no—
1047C4×SD16C2×D7311yescharacteristic, complemented
1048C4×D8—731no—
1049C4×D8—731no—
1050C4×D8—731no—
1051C4×D8—731no—
1052#433—731no—
1053#433—731no—
1054#433—731no—
1055#433—731no—
1056#433—731no—
1057#433—731no—
1058#433—731no—
1059#433C2×D7311yescharacteristic, complemented
1060#428—731no—
1061#428—731no—
1062#428—731no—
1063#428—731no—
1064#423—731no—
1065#423—731no—
1066#419—731no—
1067#419—731no—
1068#418—731no—
1069#418—731no—
1070#417—731no—
1071#417—731no—
1072#417—731no—
1073#417—731no—
1074#407—731no—
1075#407—731no—
1076C4×M16—731no—
1077C4×M16—731no—
1078C2×#41—731no—
1079C2×#41—731no—
1080C2×#41—731no—
1081C2×#41—731no—
1082C2×#41—731no—
1083C2×#41—1461no—
1084C2×#41—1461no—
1085C2×#41—1464no—
1086C2×#41—1464no—
1087C2×#41C22×D7311yescharacteristic
1088C22×Q8—731no—
1089C22×D4—731no—
1090C22×D4—1461no—
1091C23×C4—731no—
1092C23×C4—1461no—
1093C23×C4—1461no—
1094C23×C4—1461no—
1095C23×C4—1461no—
1096#137—1464no—
1097#137—1464no—
1098AGL(1,ℤ/8)—1464no—
1099AGL(1,ℤ/8)—1464no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16C22×D7311yescharacteristic
1103C2×Q16C22×D7311yescharacteristic
1104C2×SD16—731no—
1105C2×SD16—731no—
1106C2×SD16—731no—
1107C2×SD16—731no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16C22×D7311yescharacteristic
1111C2×SD16C22×D7311yescharacteristic
1112C2×D8—731no—
1113C2×D8—731no—
1114C2×D8—731no—
1115C2×D8—731no—
1116C2×M16—731no—
1117C2×M16—731no—
1118C2×M16—731no—
1119C2×M16—731no—
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8C22×D7311yescharacteristic
1123#127—731no—
1124#126—21no—
1125#126—21no—
1126#126—1461no—
1127#126—1461no—
1128#126—1461no—
1129#126—1461no—
1130#126—1461no—
1131#126—1461no—
1132#125—21no—
1133#125—21no—
1134#125—731no—
1135#125—1461no—
1136#125—1461no—
1137#125C22×D7311yescharacteristic
1138#124—731no—
1139#124—731no—
1140#124—1461no—
1141#124—1461no—
1142#124—1461no—
1143#124—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154C22⋊Q8—731no—
1155C22⋊Q8—731no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8C22×D7311yescharacteristic
1163C22⋊Q8C22×D7311yescharacteristic
1164#121—731no—
1165#121—731no—
1166#121—731no—
1167#121—731no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#120—1461no—
1175#120—1461no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—731no—
1179C4×Q8—731no—
1180C4×Q8—731no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—1461no—
1185C4×Q8—1461no—
1186C4×Q8—1461no—
1187C4×Q8—1461no—
1188C4×Q8—1461no—
1189C4×Q8—1461no—
1190C4×Q8C22×D7311yescharacteristic
1191C4×Q8C22×D7311yescharacteristic
1192C4×Q8C22×D7311yescharacteristic
1193C4×Q8C22×D7311yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—731no—
1203C4×D4—731no—
1204C4×D4—731no—
1205C4×D4—731no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4—1461no—
1216C4×D4—1461no—
1217C4×D4—1461no—
1218C4×D4—1461no—
1219C4×D4—1461no—
1220C4×D4—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4C22×D7311yescharacteristic
1235C4×D4C22×D7311yescharacteristic
1236#117—21no—
1237#117—731no—
1238#117—731no—
1239#117—731no—
1240#117—731no—
1241#117—731no—
1242#117—731no—
1243#117—731no—
1244#117—731no—
1245#117—731no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249#117—1461no—
1250#117—1461no—
1251#117—1461no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117C22×D7311yescharacteristic
1256C2×C4⋊C4—21no—
1257C2×C4⋊C4—731no—
1258C2×C4⋊C4—731no—
1259C2×C4⋊C4—731no—
1260C2×C4⋊C4—731no—
1261C2×C4⋊C4—731no—
1262C2×C4⋊C4—731no—
1263C2×C4⋊C4—731no—
1264C2×C4⋊C4—1461no—
1265C2×C4⋊C4—1461no—
1266C2×C4⋊C4—1461no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4—1461no—
1270C2×C4⋊C4—1461no—
1271C2×C4⋊C4—1461no—
1272C2×C4⋊C4—1461no—
1273C2×C4⋊C4—1461no—
1274C2×C4⋊C4—1461no—
1275C2×C4⋊C4—1461no—
1276C2×C4⋊C4C22×D7311yescharacteristic
1277C2×C22⋊C4—731no—
1278C2×C22⋊C4—731no—
1279C2×C22⋊C4—1461no—
1280C2×C22⋊C4—1461no—
1281C2×C42—731no—
1282C2×C42—731no—
1283C2×C42—1461no—
1284C2×C42—1461no—
1285C2×C42—1461no—
1286C2×C42—1461no—
1287#107—731no—
1288#107—731no—
1289#107—731no—
1290#107—731no—
1291#107—731no—
1292#107—731no—
1293#107C22×D7311yescharacteristic
1294#107C22×D7311yescharacteristic
1295#106—731no—
1296#106—731no—
1297#106—731no—
1298#106—731no—
1299#106—731no—
1300#106—731no—
1301#106C22×D7311yescharacteristic
1302#106C22×D7311yescharacteristic
1303C4⋊C8—731no—
1304C4⋊C8—731no—
1305C4⋊C8—731no—
1306C4⋊C8—731no—
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8C22×D7311yescharacteristic
1310C4⋊C8C22×D7311yescharacteristic
1311#103—731no—
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103C22×D7311yescharacteristic
1322#103C22×D7311yescharacteristic
1323#103C22×D7311yescharacteristic
1324#103C22×D7311yescharacteristic
1325#103C22×D7311yescharacteristic
1326#103C22×D7311yescharacteristic
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343C22⋊C8—731no—
1344C22⋊C8—731no—
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8C22×D7311yescharacteristic
1350C22⋊C8C22×D7311yescharacteristic
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97C22×D7311yescharacteristic
1355C4×C8—731no—
1356C4×C8—731no—
1357C4×C8—731no—
1358C4×C8C22×D7311yescharacteristic
1359C24—731no—
1360C24—1461no—
1361#41—22no—
1362#41—22no—
1363#41—1462no—
1364#41—1462no—
1365#41—1468no—
1366#41—1462no—
1367#41—1462no—
1368#41—1462no—
1369#41—1462no—
1370#41—1462no—
1371#41—1468no—
1372#41—1462no—
1373#41—1462no—
1374#41—1462no—
1375C2×Q8—734no—
1376C2×Q8—731no—
1377C2×Q8—1461no—
1378C2×Q8—1461no—
1379C2×Q8—1461no—
1380C2×Q8—1462no—
1381C2×Q8C23×D7311yescharacteristic
1382C2×Q8C23×D7311yescharacteristic
1383C2×Q8C23×D7311yescharacteristic
1384C2×D4—21no—
1385C2×D4—734no—
1386C2×D4—731no—
1387C2×D4—731no—
1388C2×D4—731no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1462no—
1395C2×D4—1461no—
1396C2×D4—1468no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4C23×D7311yescharacteristic
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—5842no—
1409C22×C4—5842no—
1410C22×C4—5842no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
1414C22×C4—731no—
1415C22×C4—731no—
1416C22×C4—731no—
1417C22×C4—731no—
1418C22×C4—731no—
1419C22×C4—731no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1462no—
1432C22×C4—1462no—
1433C22×C4—1461no—
1434C22×C4—1468no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4C23×D7311yescharacteristic
1445Q16—22no—
1446Q16—22no—
1447Q16—1462no—
1448Q16—1462no—
1449SD16—22no—
1450SD16—22no—
1451SD16—1462no—
1452SD16—1462no—
1453SD16—1462no—
1454SD16—1462no—
1455SD16—1462no—
1456SD16—1462no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460D8—1462no—
1461M16—1462no—
1462M16—1462no—
1463M16—1462no—
1464M16—1462no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8C23×D7311yescharacteristic
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4D4×D7311yescharacteristic
1514C4⋊C4D4×D7311yescharacteristic
1515C4⋊C4C23×D7311yescharacteristic
1516C4⋊C4C23×D7311yescharacteristic
1517C4⋊C4C23×D7311yescharacteristic
1518C4⋊C4C23×D7311yescharacteristic
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—731no—
1528C22⋊C4—731no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4D4×D7311yescharacteristic
1552C22⋊C4D4×D7311yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42—1461no—
1572C42—1461no—
1573C42C23×D7311yescharacteristic
1574C42C23×D7311yescharacteristic
1575C23—21no—
1576C23—2921no—
1577C23—2921no—
1578C23—2922no—
1579C23—2922no—
1580C23—731no—
1581C23—731no—
1582C23—1464no—
1583C23—1462no—
1584C23—1461no—
1585C23—1461no—
1586C23—1461no—
1587C23C2×D4×D7311yescharacteristic
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—5841no—
1594Q8—5841no—
1595Q8—732no—
1596Q8—1464no—
1597Q8—1461no—
1598Q8#41×D7312yes—
1599D4—24no—
1600D4—21no—
1601D4—2922no—
1602D4—2922no—
1603D4—5841no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—5841no—
1608D4—5841no—
1609D4—732no—
1610D4—1464no—
1611D4—1464no—
1612D4—1464no—
1613D4—1464no—
1614D4—1461no—
1615D4—1461no—
1616D4—1461no—
1617D4—1461no—
1618D4—1461no—
1619D4#41×D7312yes—
1620C2×C4—24no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—2921no—
1634C2×C4—2921no—
1635C2×C4—2921no—
1636C2×C4—2921no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—5841no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—731no—
1655C2×C4—732no—
1656C2×C4—732no—
1657C2×C4—731no—
1658C2×C4—731no—
1659C2×C4—731no—
1660C2×C4—731no—
1661C2×C4—731no—
1662C2×C4—1462no—
1663C2×C4—1462no—
1664C2×C4—1464no—
1665C2×C4—1464no—
1666C2×C4—1464no—
1667C2×C4—1461no—
1668C2×C4—1461no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1462no—
1672C2×C4—1464no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4C2×D4×D7311yescharacteristic
1677C2×C4C2×D4×D7311yescharacteristic
1678C2×C4C2×D4×D7311yescharacteristic
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C24×D7311yescharacteristic
1682C8—21no—
1683C8—21no—
1684C8—21no—
1685C8—21no—
1686C8—1461no—
1687C8—1461no—
1688C8—1461no—
1689C8—1461no—
1690C22—21no—
1691C22—22no—
1692C22—21no—
1693C22—21no—
1694C22—41no—
1695C22—41no—
1696C22—2924no—
1697C22—2928no—
1698C22—2921no—
1699C22—2921no—
1700C22—2921no—
1701C22—2921no—
1702C22—2921no—
1703C22—2921no—
1704C22—2921no—
1705C22—2921no—
1706C22—732no—
1707C22—1462no—
1708C22—1461no—
1709C22—1461no—
1710C22—1461no—
1711C22—1461no—
1712C22—1461no—
1713C22C22×D4×D7311yescharacteristic
1714C4—21no—
1715C4—22no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—21no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—2921no—
1727C4—2921no—
1728C4—2921no—
1729C4—2921no—
1730C4—732no—
1731C4—1461no—
1732C4—1462no—
1733C4—1461no—
1734C4—1461no—
1735C4—1461no—
1736C4—1461no—
1737C4C2×#41×D7311yescharacteristic
1738C4C2×#41×D7311yescharacteristic
1739C2—41no—
1740C2—42no—
1741C2—2922no—
1742C2—2921no—
1743C2—5841no—
1744C2—5841no—
1745C2—1462no—
1746C2#525×D7311yescharacteristic
1747C2#2262470911yescharacteristic
1748C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3120C2
socleC22×C73C23×D4
hypercenter#3120D73
hypocenterC73#60565
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3120

Complements

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

NH ≅ G/Ntype
1. #22623322C2semidirect
2. #520×D73C2semidirect
3. #22620206C2semidirect
4. #22620204C2semidirect
5. #22620203C2semidirect
6. #22620201C2semidirect
7. #22620199C2semidirect
8. #22620197C2semidirect
9. #22620196C2semidirect
10. #22620194C2semidirect
11. #22620144C2semidirect
12. #22620142C2semidirect
13. #22620139C2semidirect
14. #22620137C2semidirect
15. #22620135C2semidirect
16. #22620132C2semidirect
17. #22620130C2semidirect
18. #22619858C2semidirect
19. #22619855C2semidirect
20. #22619734C2semidirect
21. #22619726C2semidirect
22. #22619404C2semidirect
23. #22619396C2semidirect
24. #22619174C2semidirect
25. #22619174C2semidirect
26. C4×#14556623C2semidirect
27. #22618747C2semidirect
28. C4×#14556618C2semidirect
29. #22618736C2semidirect
30. #22618565C2semidirect
31. C73×#3120C2semidirect
37. #17989210C22semidirect
38. #17989210C22semidirect
39. #17989209C22semidirect
40. #17989209C22semidirect
41. #17989198C22semidirect
42. #17989193C22semidirect
43. #17989192C22semidirect
79. #17988921C22semidirect
80. #17988921C22semidirect
81. #17988920C22semidirect
82. #17988916C22semidirect
83. #17988916C22semidirect
84. #17988915C22semidirect
85. #17988907C22semidirect
86. #17988907C22semidirect
87. #17988906C22semidirect
88. #17988905C22semidirect
89. #17988902C22semidirect
90. #17988902C22semidirect
91. #17988901C22semidirect
92. #17988900C22semidirect
93. #17988895C22semidirect
94. #17988894C22semidirect
95. #17988891C22semidirect
96. #17988888C22semidirect
97. #17988887C22semidirect
98. #17988884C22semidirect
99. #17988881C22semidirect
100. #17988880C22semidirect
101. #17988876C22semidirect
102. #17988875C22semidirect
103. #17988871C22semidirect
104. #17988870C22semidirect
105. #17988866C22semidirect
106. #17988865C22semidirect
107. #17988812C22semidirect
108. #17988812C22semidirect
109. #17988811C22semidirect
110. #17988811C22semidirect
111. #17988805C22semidirect
112. #17988805C22semidirect
113. #17988804C22semidirect
114. #17988804C22semidirect
115. #17988794C22semidirect
116. #17988789C22semidirect
117. #17988788C22semidirect
118. #17988787C22semidirect
119. #17988783C22semidirect
120. #17988782C22semidirect
135. #17988700C22semidirect
136. #17988698C22semidirect
137. #17988697C22semidirect
138. #17988696C22semidirect
139. #17988694C22semidirect
140. #17988692C22semidirect
141. #17988691C22semidirect
142. #17988690C22semidirect
143. #17988690C22semidirect
144. #17988689C22semidirect
145. #17988688C22semidirect
146. #17988686C22semidirect
147. #17988685C22semidirect
148. #17988685C22semidirect
149. Q16×Dic73C22semidirect
150. C4×#11924018C22semidirect
151. #17988679C22semidirect
152. C4×#11924017C22semidirect
153. SD16×Dic73C22semidirect
154. C4×#11924015C22semidirect
155. C4×#11924015C22semidirect
156. #17988674C22semidirect
157. #17988672C22semidirect
158. #17988672C22semidirect
159. C4×D584C22semidirect
160. #17988669C22semidirect
161. C4×#11924013C22semidirect
162. #17988667C22semidirect
163. #17988649C22semidirect
164. #17988648C22semidirect
165. #17988647C22semidirect
166. #17988647C22semidirect
167. #17988646C22semidirect
168. #17988645C22semidirect
169. #17988645C22semidirect
188. #541×C73C22semidirect
190. #484×C73C22semidirect
191. #483×C73C22semidirect
192. #479×C73C22semidirect
193. #478×C73C22semidirect
194. #462×C73C22semidirect
195. #461×C73C22semidirect
198. #441×C73C22semidirect
199. #440×C73C22semidirect
200. C4×Q16×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. #433×C73C22semidirect
888. #3120D73semidirect
906. C73#60565semidirect
917. #541C2×D73semidirect
959. #484C2×D73semidirect
963. #483C2×D73semidirect
975. #479C2×D73semidirect
979. #478C2×D73semidirect
997. #462C2×D73semidirect
999. #461C2×D73semidirect
1027. #441C2×D73semidirect
1035. #440C2×D73semidirect
1039. C4×Q16C2×D73semidirect
1047. C4×SD16C2×D73semidirect
1059. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226233222
#520×D732
#226202062
#226202042
#226202032
#226202012
#226201992
#226201972
#226201962
#226201942
#226201442
#226201422
#226201392
#226201372
#226201352
#226201322
#226201302
#226198582
#226198552
#226197342
#226197262
#226194042
#226193962
#226191742
C4×#145566232
#226187472
C4×#145566182
#226187362
#226185652
C73×#31202
#6056573