Finite Group Databasebeta

← #33954080

Subgroups — #33954080

Order 18688.

2192 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623224C211yesmaximal, characteristic, complemented
2C4×#41×D73C211yesmaximal, characteristic, complemented
3#22620015C211yesmaximal, characteristic, complemented
4#22620009C211yesmaximal, characteristic, complemented
5#22620000C211yesmaximal, characteristic, complemented
6#22619998C211yesmaximal, characteristic, complemented
7#22619989C211yesmaximal, characteristic, complemented
8#22619987C211yesmaximal, characteristic, complemented
9#22619982C211yesmaximal, characteristic, complemented
10#22619976C211yesmaximal, characteristic, complemented
11#22619968C211yesmaximal, characteristic, complemented
12#22619960C211yesmaximal, characteristic, complemented
13#22619955C211yesmaximal, characteristic, complemented
14#22619953C211yesmaximal, characteristic, complemented
15#22619947C211yesmaximal, characteristic, complemented
16#22619945C211yesmaximal, characteristic, complemented
17#22619937C211yesmaximal, characteristic, complemented
18#22619929C211yesmaximal, characteristic, complemented
19#22619848C211yesmaximal, characteristic, complemented
20#22619842C211yesmaximal, characteristic, complemented
21#22619717C211yesmaximal, characteristic, complemented
22#22619715C211yesmaximal, characteristic, complemented
23#22619384C211yesmaximal, characteristic, complemented
24#22619382C211yesmaximal, characteristic, complemented
25#22619151C211yesmaximal, characteristic, complemented
26#22619145C211yesmaximal, characteristic, complemented
27C4×#14556613C211yesmaximal, characteristic, complemented
28C4×#14556611C211yesmaximal, characteristic, complemented
29C4×#14556611C211yesmaximal, characteristic, complemented
30C2×#17988638C211yesmaximal, characteristic, complemented
31C4×#135×C73C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic
33C2×#14556613C2211yescharacteristic
34C2×#14556611C2211yescharacteristic
35C2×#14556611C2211yescharacteristic
36#17989141C2211yescharacteristic
37#17989141C2211yescharacteristic, complemented
38#17989140C2211yescharacteristic, complemented
39#17989134C2211yescharacteristic
40#17989134C2211yescharacteristic, complemented
41#17989133C2211yescharacteristic, complemented
42#17989124C2211yescharacteristic
43#17989124C2211yescharacteristic, complemented
44#17989119C2211yescharacteristic
45#17989119C2211yescharacteristic, complemented
46#17989117—21no—
47#17989117—21no—
48#17989115—21no—
49#17989115—21no—
50#17989099C2211yescharacteristic
51#17989096—21no—
52#17989096—21no—
53#17989094C2211yescharacteristic
54#41×Dic73C2211yescharacteristic
55C4×#11924029C2211yescharacteristic
56C4×#11924029C2211yescharacteristic
57C4×#11924028—21no—
58C4×#11924028—21no—
59C4×#11924028—21no—
60C4×#11924028C2211yescharacteristic
61C4×#11924028C2211yescharacteristic, complemented
62#17989055—21no—
63#17989055C2211yescharacteristic
64C4×#11924027—21no—
65C4×#11924027—21no—
66C4×#11924027C2211yescharacteristic
67C4×#11924027C2211yescharacteristic
68C4×Q8×D73C2211yescharacteristic
69C4×Q8×D73C2211yescharacteristic
70C4×D4×D73—21no—
71C4×D4×D73—21no—
72C4×D4×D73C2211yescharacteristic
73C4×D4×D73C2211yescharacteristic
74#117×D73—21no—
75#117×D73C2211yescharacteristic
76C2×C42×D73—21no—
77C2×C42×D73C2211yescharacteristic
78#17988931C2211yescharacteristic, complemented
79#17988930C2211yescharacteristic, complemented
80#17988927C2211yescharacteristic, complemented
81#17988926C2211yescharacteristic, complemented
82#17988924C2211yescharacteristic
83#17988921C2211yescharacteristic
84#17988919C2211yescharacteristic
85#17988916C2211yescharacteristic
86#17988914C2211yescharacteristic, complemented
87#17988913C2211yescharacteristic, complemented
88#17988910C2211yescharacteristic, complemented
89#17988909C2211yescharacteristic, complemented
90#17988907C2211yescharacteristic
91#17988904C2211yescharacteristic
92#17988902C2211yescharacteristic
93#17988899C2211yescharacteristic
94#17988897C2211yescharacteristic, complemented
95#17988896C2211yescharacteristic, complemented
96#17988893C2211yescharacteristic, complemented
97#17988892C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988885C2211yescharacteristic, complemented
102#17988881C2211yescharacteristic, complemented
103#17988880C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic, complemented
105#17988875C2211yescharacteristic, complemented
106#17988871C2211yescharacteristic, complemented
107#17988870C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988812C2211yescharacteristic, complemented
111#17988811C2211yescharacteristic, complemented
112#17988808C2211yescharacteristic, complemented
113#17988807C2211yescharacteristic, complemented
114#17988805C2211yescharacteristic, complemented
115#17988804C2211yescharacteristic, complemented
116#17988801C2211yescharacteristic, complemented
117#17988800C2211yescharacteristic, complemented
118#17988796C2211yescharacteristic, complemented
119#17988795C2211yescharacteristic, complemented
120#17988791C2211yescharacteristic, complemented
121#17988790C2211yescharacteristic, complemented
122#17988786C2211yescharacteristic, complemented
123#17988785C2211yescharacteristic, complemented
124#17988781C2211yescharacteristic, complemented
125#17988780C2211yescharacteristic, complemented
126#17988752C2211yescharacteristic
127#17988750C2211yescharacteristic
128#17988748C2211yescharacteristic
129#17988746C2211yescharacteristic
130#17988744C2211yescharacteristic
131#17988741C2211yescharacteristic
132#17988739C2211yescharacteristic
133#17988736C2211yescharacteristic
134#17988735C2211yescharacteristic
135#17988733C2211yescharacteristic
136#17988731C2211yescharacteristic
137#17988729C2211yescharacteristic
138#17988727C2211yescharacteristic
139#17988724C2211yescharacteristic
140#17988722C2211yescharacteristic
141#17988719C2211yescharacteristic
142C4×Dic292C2211yescharacteristic, complemented
143C4×Dic292C2211yescharacteristic, complemented
144C4×#11924018C2211yescharacteristic, complemented
145C4×#11924018C2211yescharacteristic, complemented
146C4×#11924018C2211yescharacteristic, complemented
147C4×#11924018C2211yescharacteristic, complemented
148C4×#11924017C2211yescharacteristic, complemented
149C4×#11924017C2211yescharacteristic, complemented
150C4×#11924017C2211yescharacteristic, complemented
151C4×#11924017C2211yescharacteristic, complemented
152C4×#11924015C2211yescharacteristic, complemented
153C4×#11924015C2211yescharacteristic, complemented
154C4×#11924015C2211yescharacteristic, complemented
155C4×#11924015C2211yescharacteristic, complemented
156C4×#11924016C2211yescharacteristic, complemented
157C4×#11924016C2211yescharacteristic, complemented
158C4×#11924016C2211yescharacteristic, complemented
159C4×#11924016C2211yescharacteristic, complemented
160C4×D584C2211yescharacteristic, complemented
161C4×D584C2211yescharacteristic, complemented
162C4×#11924013C2211yescharacteristic, complemented
163C4×#11924013C2211yescharacteristic, complemented
164C4×#11924013C2211yescharacteristic, complemented
165C4×#11924013C2211yescharacteristic, complemented
166#17988638C2211yescharacteristic
167#17988638C2211yescharacteristic
168#17988638C2211yescharacteristic
169#17988638C2211yescharacteristic
170#17988638C2211yescharacteristic, complemented
171#17988638C2211yescharacteristic, complemented
172#17988638C2211yescharacteristic, complemented
173#17988638C2211yescharacteristic, complemented
174#17988625C2211yescharacteristic, complemented
175#17988623C2211yescharacteristic, complemented
176#17988623C2211yescharacteristic, complemented
177C2×#14556520C2211yescharacteristic, complemented
178C2×#14556520C2211yescharacteristic, complemented
179#17988584C2211yescharacteristic
180#17988584C2211yescharacteristic, complemented
181#17988583C2211yescharacteristic
182#17988583C2211yescharacteristic, complemented
183#17988581C2211yescharacteristic
184#17988581C2211yescharacteristic, complemented
185C2×#14556503C2211yescharacteristic
186C2×#14556503C2211yescharacteristic
187C2×C4×#10596831C2211yescharacteristic, complemented
188C2×#135×C73C2211yescharacteristic
189C4×#41×C73C2211yescharacteristic
190C4×#41×C73C2211yescharacteristic, complemented
191C4×Q16×C73C2211yescharacteristic, complemented
192C4×Q16×C73C2211yescharacteristic, complemented
193C4×SD16×C73C2211yescharacteristic, complemented
194C4×SD16×C73C2211yescharacteristic, complemented
195C4×SD16×C73C2211yescharacteristic, complemented
196C4×SD16×C73C2211yescharacteristic, complemented
197C4×D8×C73C2211yescharacteristic, complemented
198C4×D8×C73C2211yescharacteristic, complemented
199#427×C73C2211yescharacteristic, complemented
200#416×C73C2211yescharacteristic
201#416×C73C2211yescharacteristic, complemented
202C2×C4×C8×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924027—21no—
210C2×#11924027C2311yescharacteristic
211#41×D73—24no—
212#41×D73—24no—
213C2×Q8×D73C2311yescharacteristic
214C2×D4×D73—21no—
215C2×D4×D73C2311yescharacteristic
216C22×C4×D73—21no—
217C22×C4×D73—21no—
218C22×C4×D73—21no—
219C22×C4×D73D411yescharacteristic
220C22×C4×D73D411yescharacteristic
221C22×C4×D73C2311yescharacteristic
222#14556613—24no—
223#14556611—24no—
224#14556611—24no—
225C2×Dic292C2311yescharacteristic
226C2×#11924018C2311yescharacteristic
227C2×#11924018C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233C2×#11924015C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C22×#10596831C2311yescharacteristic
238C22×#10596831C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556590C2311yescharacteristic
241#14556589C2311yescharacteristic
242#14556587C2311yescharacteristic
243#14556586—21no—
244#14556586—21no—
245#14556584—21no—
246#14556584—21no—
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556581—21no—
251#14556580C2311yescharacteristic
252#14556578C2311yescharacteristic
253#14556577—21no—
254#14556577—21no—
255#14556576—21no—
256#14556576—21no—
257#14556575—21no—
258#14556573—21no—
259#14556573—21no—
260#14556572—21no—
261#14556571C2311yescharacteristic
262#14556571C2311yescharacteristic
263#14556569—21no—
264#14556569—21no—
265#14556568—21no—
266#14556568—21no—
267#14556567C2311yescharacteristic
268#14556567C2311yescharacteristic
269#14556566C2311yescharacteristic
270#14556566C2311yescharacteristic
271#14556564—21no—
272#14556564—21no—
273#14556563—21no—
274#14556563—21no—
275#14556562C2311yescharacteristic
276#14556562C2311yescharacteristic
277#14556561—21no—
278#14556559—21no—
279Q8×Dic73C2311yescharacteristic
280Q8×Dic73C2311yescharacteristic
281C4×Dic146—21no—
282C4×Dic146—21no—
283C4×Dic146—21no—
284C4×Dic146—21no—
285C4×Dic146—21no—
286C4×Dic146—21no—
287C4×Dic146C2311yescharacteristic
288C4×Dic146C2311yescharacteristic
289C4×Dic146C2311yescharacteristic
290C4×Dic146C2311yescharacteristic
291#14556556—21no—
292#14556556—21no—
293#14556556C2311yescharacteristic
294#14556556C2311yescharacteristic
295C4×D292—21no—
296C4×D292—21no—
297C4×D292—21no—
298C4×D292—21no—
299C4×D292—21no—
300C4×D292—21no—
301C4×D292C2311yescharacteristic
302C4×D292C2311yescharacteristic
303C4×D292C2311yescharacteristic
304C4×D292C2311yescharacteristic
305D4×Dic73—21no—
306D4×Dic73—21no—
307D4×Dic73C2311yescharacteristic
308D4×Dic73C2311yescharacteristic
309#14556553—21no—
310#14556553—21no—
311#14556553C2311yescharacteristic
312#14556553C2311yescharacteristic
313C4×C22⋊D73—21no—
314C4×C22⋊D73—21no—
315C4×C22⋊D73—21no—
316C4×C22⋊D73—21no—
317C4×C22⋊D73—21no—
318C4×C22⋊D73—21no—
319C4×C22⋊D73—21no—
320C4×C22⋊D73—21no—
321C4×C22⋊D73—21no—
322C4×C22⋊D73—21no—
323C4×C22⋊D73—21no—
324C4×C22⋊D73—21no—
325C4×C22⋊D73—21no—
326C4×C22⋊D73—21no—
327C4×C22⋊D73—21no—
328C4×C22⋊D73—21no—
329#14556551—21no—
330#14556551—21no—
331#14556551—21no—
332#14556551—21no—
333#14556551—21no—
334#14556551—21no—
335#14556550—21no—
336#14556550—21no—
337#14556550—21no—
338#14556550C2311yescharacteristic
339#14556550C2311yescharacteristic
340#14556549—21no—
341#14556549—21no—
342#14556549C2311yescharacteristic
343#14556549C2311yescharacteristic
344#14556548—21no—
345#14556548—21no—
346#14556548—21no—
347#14556548—21no—
348#14556548—21no—
349#14556548—21no—
350#14556548—21no—
351#14556548—21no—
352#14556547—21no—
353#14556547—21no—
354#14556547—21no—
355C4⋊C4×D73—21no—
356C4⋊C4×D73—21no—
357C4⋊C4×D73C2311yescharacteristic
358C4⋊C4×D73C2311yescharacteristic
359C22⋊C4×D73—21no—
360C22⋊C4×D73—21no—
361C22⋊C4×D73—21no—
362C2×C4×Dic73—21no—
363C2×C4×Dic73—21no—
364C2×C4×Dic73—21no—
365C2×C4×Dic73D411yescharacteristic
366C2×C4×Dic73D411yescharacteristic
367C2×C4×Dic73C2311yescharacteristic
368C42×D73—21no—
369C42×D73—21no—
370C42×D73—21no—
371C42×D73—21no—
372C42×D73—21no—
373C42×D73—21no—
374C42×D73—21no—
375C42×D73—21no—
376C42×D73D411yescharacteristic
377C42×D73D411yescharacteristic
378C42×D73D411yescharacteristic
379C42×D73D411yescharacteristic
380C42×D73C2311yescharacteristic
381C42×D73C2311yescharacteristic
382C42×D73C2311yescharacteristic
383C42×D73C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436C4×#10596831C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C4×#10596831C2311yescharacteristic
439C4×#10596831C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442#135×C73—24no—
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C22×C8×C73C2311yescharacteristic
449C4×Q8×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73—21no—
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73—21no—
462#117×C73—21no—
463#117×C73C2311yescharacteristic
464#117×C73C2311yescharacteristic
465C2×C42×C73—21no—
466C2×C42×C73—21no—
467C2×C42×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×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
480C4×C8×C73C2311yescharacteristic
481C4×C8×C73C2311yescharacteristic
482C4×C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73C2×D411yescharacteristic
486#11924029—22no—
487#11924029—22no—
488#11924028—28no—
489#11924028—22no—
490#11924028—22no—
491#11924028—22no—
492#11924028—44no—
493#11924028—44no—
494#11924028#4114yescomplemented
495#11924027—28no—
496#11924027—22no—
497#11924027—22no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—21no—
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503Q8×D73—22no—
504Q8×D73—22no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518D4×D73—28no—
519D4×D73—22no—
520D4×D73—22no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73C2×D411yescharacteristic
525C22×Dic73C2×D411yescharacteristic
526C22×Dic73C2×D411yescharacteristic
527C2×C4×D73—28no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—22no—
531C2×C4×D73—22no—
532C2×C4×D73—21no—
533C2×C4×D73—24no—
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—42no—
544C2×C4×D73—44no—
545C2×C4×D73—44no—
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2×D411yescharacteristic
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
558Dic292—22no—
559#11924018—22no—
560#11924018—22no—
561#11924017—22no—
562#11924017—22no—
563#11924016—22no—
564#11924016—22no—
565#11924015—22no—
566#11924015—22no—
567D584—22no—
568#11924013—22no—
569#11924013—22no—
570C2×#10596831—22no—
571C2×#10596831—22no—
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73C2411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
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—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610#11924005—21no—
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—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2411yescharacteristic
649C4×Dic73C2411yescharacteristic
650#41×C73—22no—
651#41×C73—22no—
652#41×C73—22no—
653#41×C73#4114yescomplemented
654C2×Q8×C73C2411yescharacteristic
655C2×Q8×C73C2411yescharacteristic
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73C2411yescharacteristic
659C2×D4×C73C2411yescharacteristic
660C22×C4×C73—21no—
661C22×C4×C73—21no—
662C22×C4×C73—21no—
663C22×C4×C73—21no—
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73C2×D411yescharacteristic
667C22×C4×C73C2×D411yescharacteristic
668C22×C4×C73C2411yescharacteristic
669Q16×C73—22no—
670SD16×C73—22no—
671SD16×C73—22no—
672D8×C73—22no—
673C2×C8×C73—22no—
674C2×C8×C73—22no—
675C2×C8×C73C2411yescharacteristic
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73C2411yescharacteristic
684C4⋊C4×C73C2411yescharacteristic
685C4⋊C4×C73C2411yescharacteristic
686C4⋊C4×C73C2411yescharacteristic
687C22⋊C4×C73—21no—
688C22⋊C4×C73—21no—
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C42×C73—21no—
694C42×C73—21no—
695C42×C73—21no—
696C42×C73—21no—
697C42×C73—21no—
698C42×C73—21no—
699C42×C73C2×D411yescharacteristic
700C42×C73C2×D411yescharacteristic
701C42×C73C2411yescharacteristic
702C42×C73C2411yescharacteristic
703C23×C73—21no—
704C23×C73—21no—
705C23×C73C22×D411yescharacteristic
706C22×D73—24no—
707C22×D73—22no—
708C22×D73—21no—
709C22×D73—22no—
710C22×D73—21no—
711C22×D73—41no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73C22×D411yescharacteristic
715C22×D73C22×D411yescharacteristic
716Q8×C73—21no—
717Q8×C73—21no—
718Q8×C73—21no—
719Q8×C73C2×#4112yes—
720D4×C73—24no—
721D4×C73—21no—
722D4×C73—21no—
723D4×C73—21no—
724D4×C73—42no—
725D4×C73C2×#4112yes—
726C2×C4×C73—21no—
727C2×C4×C73—24no—
728C2×C4×C73—22no—
729C2×C4×C73—22no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—42no—
736C2×C4×C73—42no—
737C2×C4×C73—42no—
738C2×C4×C73—42no—
739C2×C4×C73—42no—
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C2×#4112yes—
746C2×C4×C73C2×#4112yes—
747C2×C4×C73C2511yescharacteristic
748C22⋊D73—24no—
749C22⋊D73—24no—
750C22⋊D73—24no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—42no—
756C2×Dic73—24no—
757C2×Dic73—22no—
758C2×Dic73—21no—
759C2×Dic73—22no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—41no—
766C2×Dic73—42no—
767C2×Dic73—42no—
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774D292—24no—
775D292—21no—
776D292—21no—
777D292—21no—
778D292—42no—
779D292—42no—
780D292C2×#4112yes—
781C4×D73—24no—
782C4×D73—24no—
783C4×D73—22no—
784C4×D73—22no—
785C4×D73—24no—
786C4×D73—22no—
787C4×D73—22no—
788C4×D73—22no—
789C4×D73—22no—
790C4×D73—21no—
791C4×D73—21no—
792C4×D73—21no—
793C4×D73—21no—
794C4×D73—22no—
795C4×D73—41no—
796C4×D73—41no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—42no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73#13514yescomplemented
807Dic146—24no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—42no—
812Dic146—42no—
813Dic146C2×#4112yes—
814C8×C73—21no—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818#10596831—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822C22×C73—21no—
823C22×C73—21no—
824C22×C73—22no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73#52512yes—
831C22×C73C23×D411yescharacteristic
832C2×D73—21no—
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—22no—
836C2×D73—21no—
837C2×D73—21no—
838C2×D73—44no—
839C2×D73—48no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73C2×#13512yes—
846C4×C73—22no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73#52512yes—
855C4×C73C2×#13512yes—
856C4×C73#57512yes—
857C4×C73C22×#4111yescharacteristic
858C4×C73C22×#4111yescharacteristic
859Dic73—21no—
860Dic73—22no—
861Dic73—21no—
862Dic73—21no—
863Dic73—21no—
864Dic73—21no—
865Dic73—41no—
866Dic73—41no—
867Dic73—41no—
868Dic73—41no—
869Dic73—41no—
870Dic73C2×#13512yes—
871#60536—731nomaximal, Sylow
872C2×C73—22no—
873C2×C73—42no—
874C2×C73—81no—
875C2×C73C2×#52511yescharacteristic
876C2×C73C22×#13511yescharacteristic
877C2×C73C2×#57511yescharacteristic
878D73—22no—
879D73—41no—
880D73—42no—
881D73—81no—
882#3444—731no—
883C2×C4×#41—731no—
884#3108—731no—
885#3108—731no—
886#3107—731no—
887#3107—731no—
888#3106—731no—
889#3106—731no—
890#3105—731no—
891#3105—731no—
892#3104—731no—
893#3103—731no—
894#3102—731no—
895#3102—731no—
896#3102—731no—
897#3102—731no—
898#3101—731no—
899#3100—731no—
900#3091—731no—
901#3091—731no—
902#3076—731no—
903#3076—731no—
904#3035—731no—
905#3035—731no—
906#3002—731no—
907#3002—731no—
908C4×#135—731no—
909C4×#135—731no—
910C4×#135—731no—
911C4×#135D7311yescharacteristic, complemented
912C2×#431—731no—
913C73#6053611yescharacteristic, complemented, Sylow
914C22×#41—731no—
915C2×#135—731no—
916C2×#135—731no—
917C2×#135—731no—
918C2×#135C2×D7311yescharacteristic
919#533—731no—
920#533—731no—
921#533—731no—
922#532—731no—
923#532—731no—
924#532—731no—
925#529—731no—
926#529—731no—
927#529—731no—
928#529—731no—
929#529—1461no—
930#529—1461no—
931#529—1461no—
932#529—1461no—
933#525—731no—
934#525—731no—
935#525—1461no—
936#525—1461no—
937C4×#41—731no—
938C4×#41—731no—
939C4×#41—731no—
940C4×#41—731no—
941C4×#41—731no—
942C4×#41—731no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—1461no—
946C4×#41—1461no—
947C4×#41—1461no—
948C4×#41—1461no—
949C4×#41—1461no—
950C4×#41—1461no—
951C4×#41C2×D7311yescharacteristic
952C4×#41C2×D7311yescharacteristic, complemented
953C2×C4×Q8—731no—
954C2×C4×Q8—731no—
955C2×C4×D4—731no—
956C2×C4×D4—731no—
957C2×C4×D4—1461no—
958C2×C4×D4—1461no—
959C2×#117—731no—
960C2×#117—1461no—
961C22×C42—731no—
962C22×C42—1461no—
963#485—731no—
964#485—731no—
965#485—731no—
966#485—731no—
967#484—731no—
968#484—731no—
969#483—731no—
970#483—731no—
971#482—731no—
972#482—731no—
973#482—731no—
974#482—731no—
975#481—731no—
976#481—731no—
977#480—731no—
978#480—731no—
979#479—731no—
980#479—731no—
981#479—731no—
982#479—731no—
983#478—731no—
984#478—731no—
985#478—731no—
986#478—731no—
987#477—731no—
988#477—731no—
989#476—731no—
990#476—731no—
991#475—731no—
992#475—731no—
993#474—731no—
994#474—731no—
995#464—731no—
996#464—731no—
997#464—731no—
998#464—731no—
999#463—731no—
1000#463—731no—
1001#463—731no—
1002#463—731no—
1003#462—731no—
1004#462—731no—
1005#461—731no—
1006#461—731no—
1007#460—731no—
1008#460—731no—
1009#459—731no—
1010#459—731no—
1011#452—731no—
1012#452—731no—
1013#452—731no—
1014#452—731no—
1015#451—731no—
1016#451—731no—
1017#450—731no—
1018#450—731no—
1019#449—731no—
1020#449—731no—
1021#449—731no—
1022#449—731no—
1023#448—731no—
1024#448—731no—
1025#447—731no—
1026#447—731no—
1027C4×Q16—731no—
1028C4×Q16—731no—
1029C4×Q16—731no—
1030C4×Q16—731no—
1031C4×Q16—731no—
1032C4×Q16—731no—
1033C4×Q16C2×D7311yescharacteristic, complemented
1034C4×Q16C2×D7311yescharacteristic, complemented
1035C4×SD16—731no—
1036C4×SD16—731no—
1037C4×SD16—731no—
1038C4×SD16—731no—
1039C4×SD16—731no—
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×SD16C2×D7311yescharacteristic, complemented
1049C4×SD16C2×D7311yescharacteristic, complemented
1050C4×SD16C2×D7311yescharacteristic, complemented
1051C4×D8—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054C4×D8—731no—
1055C4×D8—731no—
1056C4×D8—731no—
1057C4×D8C2×D7311yescharacteristic, complemented
1058C4×D8C2×D7311yescharacteristic, complemented
1059#431—731no—
1060#431—731no—
1061#431—731no—
1062#431—731no—
1063#431—731no—
1064#431—731no—
1065#431—731no—
1066#431—731no—
1067#427—731no—
1068#427—731no—
1069#427—731no—
1070#427C2×D7311yescharacteristic, complemented
1071C2×C4⋊C8—731no—
1072C2×C4⋊C8—731no—
1073#416—731no—
1074#416—731no—
1075#416—731no—
1076#416—731no—
1077#416—731no—
1078#416—731no—
1079#416C2×D7311yescharacteristic
1080#416C2×D7311yescharacteristic, complemented
1081C2×C22⋊C8—731no—
1082C2×C22⋊C8—731no—
1083C2×C4×C8—731no—
1084C2×C4×C8C2×D7311yescharacteristic, complemented
1085C2×#41—731no—
1086C2×#41—731no—
1087C2×#41—731no—
1088C2×#41—731no—
1089C2×#41—1461no—
1090C2×#41—1461no—
1091C2×#41—1461no—
1092C2×#41—1461no—
1093C2×#41—1464no—
1094C2×#41—1464no—
1095C2×#41C22×D7311yescharacteristic
1096C2×#41C22×D7311yescharacteristic
1097C22×Q8—731no—
1098C22×D4—731no—
1099C22×D4—1461no—
1100C23×C4—731no—
1101C23×C4—731no—
1102C23×C4—731no—
1103C23×C4—1461no—
1104C23×C4—1461no—
1105C23×C4—1461no—
1106#135—24no—
1107#135—1464no—
1108#135—1464no—
1109#135—1464no—
1110C2×Q16—731no—
1111C2×Q16—731no—
1112C2×Q16—731no—
1113C2×Q16C22×D7311yescharacteristic
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16C22×D7311yescharacteristic
1121C2×SD16C22×D7311yescharacteristic
1122C2×D8—731no—
1123C2×D8—731no—
1124C2×D8—731no—
1125C2×D8C22×D7311yescharacteristic
1126C22×C8—731no—
1127C22×C8—731no—
1128C22×C8C22×D7311yescharacteristic
1129C22×C8C22×D7311yescharacteristic
1130C4⋊Q8—731no—
1131C4⋊Q8—731no—
1132C4⋊Q8—731no—
1133#127—731no—
1134#126—1461no—
1135#126—1461no—
1136#126—1461no—
1137#126—1461no—
1138#125—731no—
1139#125—731no—
1140#125—1461no—
1141#125—1461no—
1142#124—731no—
1143#124—731no—
1144#124—1461no—
1145#124—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152C22⋊Q8—731no—
1153C22⋊Q8—731no—
1154C22⋊Q8—731no—
1155C22⋊Q8—731no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160#121—731no—
1161#121—731no—
1162#121—731no—
1163#121—731no—
1164#121—1461no—
1165#121—1461no—
1166#121—1461no—
1167#121—1461no—
1168#120—1461no—
1169#120—1461no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8—1461no—
1186C4×Q8C22×D7311yescharacteristic
1187C4×Q8C22×D7311yescharacteristic
1188C4×Q8C22×D7311yescharacteristic
1189C4×Q8C22×D7311yescharacteristic
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
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
1236C4×D4C22×D7311yescharacteristic
1237C4×D4C22×D7311yescharacteristic
1238#117—21no—
1239#117—21no—
1240#117—731no—
1241#117—731no—
1242#117—731no—
1243#117—731no—
1244#117—1461no—
1245#117—1461no—
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#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117C22×D7311yescharacteristic
1261#117C22×D7311yescharacteristic
1262C2×C4⋊C4—731no—
1263C2×C4⋊C4—731no—
1264C2×C4⋊C4—1461no—
1265C2×C4⋊C4—1461no—
1266C2×C22⋊C4—1461no—
1267C2×C22⋊C4—1461no—
1268C2×C22⋊C4—1461no—
1269C2×C42—21no—
1270C2×C42—21no—
1271C2×C42—731no—
1272C2×C42—731no—
1273C2×C42—731no—
1274C2×C42—731no—
1275C2×C42—731no—
1276C2×C42—731no—
1277C2×C42—731no—
1278C2×C42—731no—
1279C2×C42—731no—
1280C2×C42—731no—
1281C2×C42—731no—
1282C2×C42—1461no—
1283C2×C42—1461no—
1284C2×C42—1461no—
1285C2×C42—1461no—
1286C2×C42—1461no—
1287C2×C42—1461no—
1288C2×C42—1461no—
1289C2×C42—1461no—
1290C2×C42—1461no—
1291C2×C42—1461no—
1292C2×C42—1461no—
1293C2×C42C22×D7311yescharacteristic
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107—731no—
1299#107—731no—
1300#107C22×D7311yescharacteristic
1301#107C22×D7311yescharacteristic
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306#106—731no—
1307#106—731no—
1308#106C22×D7311yescharacteristic
1309#106C22×D7311yescharacteristic
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8—731no—
1316C4⋊C8—731no—
1317C4⋊C8—731no—
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103C22×D7311yescharacteristic
1331#103C22×D7311yescharacteristic
1332#103C22×D7311yescharacteristic
1333#103C22×D7311yescharacteristic
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
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#102C22×D7311yescharacteristic
1347#102C22×D7311yescharacteristic
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8—731no—
1355C22⋊C8—731no—
1356C22⋊C8—731no—
1357C22⋊C8—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8—731no—
1361C4×C8—731no—
1362C4×C8C22×D7311yescharacteristic
1363C4×C8C22×D7311yescharacteristic
1364C4×C8C22×D7311yescharacteristic
1365C4×C8C22×D7311yescharacteristic
1366C24—731no—
1367C24—1461no—
1368#41—22no—
1369#41—22no—
1370#41—22no—
1371#41—2924no—
1372#41—2924no—
1373#41—734no—
1374#41—1468no—
1375#41—1462no—
1376#41—1462no—
1377#41—1462no—
1378#41—1468no—
1379#41—1462no—
1380#41—1462no—
1381#41—1462no—
1382#41—1462no—
1383#41#1192402814yescomplemented
1384C2×Q8—731no—
1385C2×Q8—731no—
1386C2×Q8—1461no—
1387C2×Q8—1461no—
1388C2×Q8—1461no—
1389C2×Q8—1462no—
1390C2×Q8—1462no—
1391C2×Q8C23×D7311yescharacteristic
1392C2×Q8C23×D7311yescharacteristic
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—731no—
1396C2×D4—731no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1462no—
1404C2×D4—1468no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1462no—
1411C2×D4C23×D7311yescharacteristic
1412C2×D4C23×D7311yescharacteristic
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—2922no—
1420C22×C4—2924no—
1421C22×C4—2924no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—731no—
1429C22×C4—731no—
1430C22×C4—731no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1464no—
1443C22×C4—1461no—
1444C22×C4—1468no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1462no—
1455C22×C4—1462no—
1456C22×C4D4×D7311yescharacteristic
1457C22×C4D4×D7311yescharacteristic
1458C22×C4C23×D7311yescharacteristic
1459Q16—22no—
1460Q16—1462no—
1461Q16—1462no—
1462Q16—1462no—
1463SD16—22no—
1464SD16—22no—
1465SD16—1462no—
1466SD16—1462no—
1467SD16—1462no—
1468SD16—1462no—
1469SD16—1462no—
1470SD16—1462no—
1471D8—22no—
1472D8—1462no—
1473D8—1462no—
1474D8—1462no—
1475C2×C8—22no—
1476C2×C8—22no—
1477C2×C8—731no—
1478C2×C8—731no—
1479C2×C8—731no—
1480C2×C8—731no—
1481C2×C8—1462no—
1482C2×C8—1462no—
1483C2×C8C23×D7311yescharacteristic
1484C2×C8C23×D7311yescharacteristic
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
1494C4⋊C4—731no—
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⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4C23×D7311yescharacteristic
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
1520C4⋊C4C23×D7311yescharacteristic
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
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—
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—731no—
1564C42—731no—
1565C42—731no—
1566C42—731no—
1567C42—731no—
1568C42—731no—
1569C42—1461no—
1570C42—1461no—
1571C42—1461no—
1572C42—1461no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42D4×D7311yescharacteristic
1582C42D4×D7311yescharacteristic
1583C42C23×D7311yescharacteristic
1584C42C23×D7311yescharacteristic
1585C23—21no—
1586C23—21no—
1587C23—2921no—
1588C23—2922no—
1589C23—2922no—
1590C23—731no—
1591C23—731no—
1592C23—1462no—
1593C23—1464no—
1594C23—1461no—
1595C23—1461no—
1596C23—1462no—
1597C23C2×D4×D7311yescharacteristic
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—2922no—
1602Q8—2922no—
1603Q8—732no—
1604Q8—1464no—
1605Q8—1461no—
1606Q8—1461no—
1607Q8—1461no—
1608Q8C2×#1192402812yes—
1609D4—24no—
1610D4—21no—
1611D4—21no—
1612D4—21no—
1613D4—42no—
1614D4—2922no—
1615D4—2922no—
1616D4—2922no—
1617D4—2922no—
1618D4—2922no—
1619D4—2922no—
1620D4—2922no—
1621D4—732no—
1622D4—1464no—
1623D4—1464no—
1624D4—1464no—
1625D4—1464no—
1626D4—1461no—
1627D4—1461no—
1628D4—1461no—
1629D4C2×#1192402812yes—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—42no—
1640C2×C4—42no—
1641C2×C4—42no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—2921no—
1645C2×C4—2921no—
1646C2×C4—2922no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—2922no—
1652C2×C4—2922no—
1653C2×C4—2922no—
1654C2×C4—2922no—
1655C2×C4—2922no—
1656C2×C4—2922no—
1657C2×C4—2921no—
1658C2×C4—731no—
1659C2×C4—734no—
1660C2×C4—731no—
1661C2×C4—731no—
1662C2×C4—731no—
1663C2×C4—731no—
1664C2×C4—731no—
1665C2×C4—1462no—
1666C2×C4—1462no—
1667C2×C4—1464no—
1668C2×C4—1464no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1462no—
1675C2×C4—1464no—
1676C2×C4—1461no—
1677C2×C4—1462no—
1678C2×C4—1462no—
1679C2×C4—1462no—
1680C2×C4—1461no—
1681C2×C4—1461no—
1682C2×C4—1461no—
1683C2×C4—1461no—
1684C2×C4—1462no—
1685C2×C4—1462no—
1686C2×C4—1464no—
1687C2×C4—1462no—
1688C2×C4C2×D4×D7311yescharacteristic
1689C2×C4C2×D4×D7311yescharacteristic
1690C2×C4C2×D4×D7311yescharacteristic
1691C2×C4C2×D4×D7311yescharacteristic
1692C2×C4C2×D4×D7311yescharacteristic
1693C2×C4#41×D7312yes—
1694C2×C4C2×#1192402812yes—
1695C2×C4C24×D7311yescharacteristic
1696C8—21no—
1697C8—21no—
1698C8—21no—
1699C8—21no—
1700C8—1461no—
1701C8—1461no—
1702C8—1461no—
1703C8—1461no—
1704C22—21no—
1705C22—21no—
1706C22—22no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—2924no—
1713C22—2928no—
1714C22—2921no—
1715C22—2921no—
1716C22—2921no—
1717C22—2921no—
1718C22—2921no—
1719C22—732no—
1720C22—1461no—
1721C22—1461no—
1722C22—1462no—
1723C22—1461no—
1724C22—1461no—
1725C22—1461no—
1726C22#1798909612yes—
1727C22C22×D4×D7311yescharacteristic
1728C4—21no—
1729C4—21no—
1730C4—22no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—2921no—
1737C4—2921no—
1738C4—2921no—
1739C4—2921no—
1740C4—2921no—
1741C4—732no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4—1461no—
1746C4—1461no—
1747C4—1462no—
1748C4#1798909612yes—
1749C4#135×D7312yes—
1750C4#1798938412yes—
1751C4C2×#41×D7311yescharacteristic
1752C4C22×#1192402811yescharacteristic
1753C2—22no—
1754C2—42no—
1755C2—81no—
1756C2—2922no—
1757C2—2921no—
1758C2—5841no—
1759C2—1462no—
1760C2C2×#1798909611yescharacteristic
1761C2C2×#135×D7311yescharacteristic
1762C2C2×#1798938411yescharacteristic
subgroupG/H
centerC42D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC4×#135×C73C2
socleC22×C73C23×D4
hypercenterC4×#135D73
hypocenterC73#60536
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C42 ◁ C2×C42 ◁ C4×#135

Complements

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

NH ≅ G/Ntype
1. #22623224C2semidirect
2. C4×#41×D73C2semidirect
3. #22620015C2semidirect
4. #22620009C2semidirect
5. #22620000C2semidirect
6. #22619998C2semidirect
7. #22619989C2semidirect
8. #22619987C2semidirect
9. #22619982C2semidirect
10. #22619976C2semidirect
11. #22619968C2semidirect
12. #22619960C2semidirect
13. #22619955C2semidirect
14. #22619953C2semidirect
15. #22619947C2semidirect
16. #22619945C2semidirect
17. #22619937C2semidirect
18. #22619929C2semidirect
19. #22619848C2semidirect
20. #22619842C2semidirect
21. #22619717C2semidirect
22. #22619715C2semidirect
23. #22619384C2semidirect
24. #22619382C2semidirect
25. #22619151C2semidirect
26. #22619145C2semidirect
27. C4×#14556613C2semidirect
28. C4×#14556611C2semidirect
29. C4×#14556611C2semidirect
30. C2×#17988638C2semidirect
31. C4×#135×C73C2semidirect
37. #17989141C22semidirect
38. #17989140C22semidirect
40. #17989134C22semidirect
41. #17989133C22semidirect
43. #17989124C22semidirect
45. #17989119C22semidirect
61. C4×#11924028C22semidirect
78. #17988931C22semidirect
79. #17988930C22semidirect
80. #17988927C22semidirect
81. #17988926C22semidirect
86. #17988914C22semidirect
87. #17988913C22semidirect
88. #17988910C22semidirect
89. #17988909C22semidirect
94. #17988897C22semidirect
95. #17988896C22semidirect
96. #17988893C22semidirect
97. #17988892C22semidirect
98. #17988890C22semidirect
99. #17988889C22semidirect
100. #17988886C22semidirect
101. #17988885C22semidirect
102. #17988881C22semidirect
103. #17988880C22semidirect
104. #17988876C22semidirect
105. #17988875C22semidirect
106. #17988871C22semidirect
107. #17988870C22semidirect
108. #17988866C22semidirect
109. #17988865C22semidirect
110. #17988812C22semidirect
111. #17988811C22semidirect
112. #17988808C22semidirect
113. #17988807C22semidirect
114. #17988805C22semidirect
115. #17988804C22semidirect
116. #17988801C22semidirect
117. #17988800C22semidirect
118. #17988796C22semidirect
119. #17988795C22semidirect
120. #17988791C22semidirect
121. #17988790C22semidirect
122. #17988786C22semidirect
123. #17988785C22semidirect
124. #17988781C22semidirect
125. #17988780C22semidirect
142. C4×Dic292C22semidirect
143. C4×Dic292C22semidirect
144. C4×#11924018C22semidirect
145. C4×#11924018C22semidirect
146. C4×#11924018C22semidirect
147. C4×#11924018C22semidirect
148. C4×#11924017C22semidirect
149. C4×#11924017C22semidirect
150. C4×#11924017C22semidirect
151. C4×#11924017C22semidirect
152. C4×#11924015C22semidirect
153. C4×#11924015C22semidirect
154. C4×#11924015C22semidirect
155. C4×#11924015C22semidirect
156. C4×#11924016C22semidirect
157. C4×#11924016C22semidirect
158. C4×#11924016C22semidirect
159. C4×#11924016C22semidirect
160. C4×D584C22semidirect
161. C4×D584C22semidirect
162. C4×#11924013C22semidirect
163. C4×#11924013C22semidirect
164. C4×#11924013C22semidirect
165. C4×#11924013C22semidirect
170. #17988638C22semidirect
171. #17988638C22semidirect
172. #17988638C22semidirect
173. #17988638C22semidirect
174. #17988625C22semidirect
175. #17988623C22semidirect
176. #17988623C22semidirect
177. C2×#14556520C22semidirect
178. C2×#14556520C22semidirect
180. #17988584C22semidirect
182. #17988583C22semidirect
184. #17988581C22semidirect
187. C2×C4×#10596831C22semidirect
190. C4×#41×C73C22semidirect
191. C4×Q16×C73C22semidirect
192. C4×Q16×C73C22semidirect
193. C4×SD16×C73C22semidirect
194. C4×SD16×C73C22semidirect
195. C4×SD16×C73C22semidirect
196. C4×SD16×C73C22semidirect
197. C4×D8×C73C22semidirect
198. C4×D8×C73C22semidirect
199. #427×C73C22semidirect
201. #416×C73C22semidirect
202. C2×C4×C8×C73C22semidirect
494. #11924028#41semidirect
653. #41×C73#41semidirect
806. C4×D73#135semidirect
911. C4×#135D73semidirect
913. C73#60536semidirect
952. C4×#41C2×D73semidirect
1033. C4×Q16C2×D73semidirect
1034. C4×Q16C2×D73semidirect
1047. C4×SD16C2×D73semidirect
1048. C4×SD16C2×D73semidirect
1049. C4×SD16C2×D73semidirect
1050. C4×SD16C2×D73semidirect
1057. C4×D8C2×D73semidirect
1058. C4×D8C2×D73semidirect
1070. #427C2×D73semidirect
1080. #416C2×D73semidirect
1084. C2×C4×C8C2×D73semidirect
1383. #41#11924028semidirect

Maximal subgroups

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

subgroupindex
#226232242
C4×#41×D732
#226200152
#226200092
#226200002
#226199982
#226199892
#226199872
#226199822
#226199762
#226199682
#226199602
#226199552
#226199532
#226199472
#226199452
#226199372
#226199292
#226198482
#226198422
#226197172
#226197152
#226193842
#226193822
#226191512
#226191452
C4×#145566132
C4×#145566112
C2×#179886382
C4×#135×C732
#6053673