Finite Group Databasebeta

← #33300124

Subgroups — #33300124

Order 18688.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22618268C211yesmaximal, characteristic, complemented
2#22618254C211yesmaximal, characteristic, complemented
3#22617776C211yesmaximal, characteristic, complemented
4#22617669C211yesmaximal, characteristic, complemented
5#22617661C211yesmaximal, characteristic, complemented
6#22617264C211yesmaximal, characteristic, complemented
7#22617168C211yesmaximal, characteristic, complemented
8#22617133C211yesmaximal, characteristic, complemented
9#22617108C211yesmaximal, characteristic, complemented
10#22617095C211yesmaximal, characteristic, complemented
11#22617026C211yesmaximal, characteristic, complemented
12#22617023C211yesmaximal, characteristic, complemented
13#22617009C211yesmaximal, characteristic, complemented
14#22617002C211yesmaximal, characteristic, complemented
15#22616905C211yesmaximal, characteristic, complemented
16#22616635C211yesmaximal, characteristic, complemented
17#22616400C211yesmaximal, characteristic, complemented
18#22616357C211yesmaximal, characteristic, complemented
19#22615904C211yesmaximal, characteristic, complemented
20#22615887C211yesmaximal, characteristic, complemented
21#22614210C211yesmaximal, characteristic, complemented
22#22614072C211yesmaximal, characteristic, complemented
23#22613742C211yesmaximal, characteristic, complemented
24#22613595C211yesmaximal, characteristic, complemented
25#22613408C211yesmaximal, characteristic, complemented
26#22613329C211yesmaximal, characteristic
27#22613324C211yesmaximal, characteristic
28#22612591C211yesmaximal, characteristic
29#22612542C211yesmaximal, characteristic, complemented
30C2×#17988476C211yesmaximal, characteristic, complemented
31C73×#2493C211yesmaximal, characteristic, complemented
32C2×#14556583C2211yescharacteristic, complemented
33C2×#14556576C2211yescharacteristic
34C2×#14556574C2211yescharacteristic
35C2×#14556571C2211yescharacteristic
36C2×#14556569C2211yescharacteristic, complemented
37C2×#14556568C2211yescharacteristic
38C2×#14556561C2211yescharacteristic
39C2×C4×C22⋊D73C2211yescharacteristic
40C22×#11924007C2211yescharacteristic
41C22×#11924005C2211yescharacteristic
42C22×#11924005C2211yescharacteristic
43C22×#11924005C2211yescharacteristic
44C2×C22⋊C4×D73C2211yescharacteristic
45C2×C22⋊C4×D73C2211yescharacteristic
46C22×C4×Dic73C2211yescharacteristic
47C73⋊#401C2211yescharacteristic, complemented
48#17988529C2211yescharacteristic, complemented
49#17988529C2211yescharacteristic, complemented
50#17988529C2211yescharacteristic, complemented
51#17988529C2211yescharacteristic, complemented
52#17988528C2211yescharacteristic, complemented
53#17988526C2211yescharacteristic, complemented
54#17988526C2211yescharacteristic, complemented
55#17988526C2211yescharacteristic, complemented
56#17988525C2211yescharacteristic, complemented
57#17988524C2211yescharacteristic
58#17988522C2211yescharacteristic, complemented
59#17988521C2211yescharacteristic, complemented
60#17988521C2211yescharacteristic, complemented
61#17988521C2211yescharacteristic, complemented
62#17988521C2211yescharacteristic, complemented
63#17988521C2211yescharacteristic, complemented
64#17988520C2211yescharacteristic, complemented
65#17988520C2211yescharacteristic, complemented
66#17988519C2211yescharacteristic, complemented
67#17988519C2211yescharacteristic, complemented
68#17988516C2211yescharacteristic
69#17988516C2211yescharacteristic
70#17988516C2211yescharacteristic
71#17988516C2211yescharacteristic
72#17988516C2211yescharacteristic
73#17988516C2211yescharacteristic, complemented
74#17988516C2211yescharacteristic, complemented
75#17988514C2211yescharacteristic
76#17988514C2211yescharacteristic
77#17988514C2211yescharacteristic, complemented
78#17988514C2211yescharacteristic, complemented
79#17988513C2211yescharacteristic
80#17988513C2211yescharacteristic, complemented
81#17988511C2211yescharacteristic, complemented
82#17988509C2211yescharacteristic
83#17988509C2211yescharacteristic
84#17988509C2211yescharacteristic, complemented
85#17988507C2211yescharacteristic, complemented
86#17988505C2211yescharacteristic
87#17988505C2211yescharacteristic
88#17988505C2211yescharacteristic
89#17988504C2211yescharacteristic
90#17988500C2211yescharacteristic
91#17988491C2211yescharacteristic, complemented
92#17988491C2211yescharacteristic, complemented
93#17988489C2211yescharacteristic
94#17988489C2211yescharacteristic
95#17988485C2211yescharacteristic, complemented
96#17988484C2211yescharacteristic, complemented
97#17988484C2211yescharacteristic, complemented
98#17988482C2211yescharacteristic, complemented
99#17988479C2211yescharacteristic
100#17988479C2211yescharacteristic
101#17988479C2211yescharacteristic, complemented
102#17988479C2211yescharacteristic, complemented
103#17988479C2211yescharacteristic, complemented
104#17988479C2211yescharacteristic, complemented
105#17988478C2211yescharacteristic
106#17988478C2211yescharacteristic
107#17988476C2211yescharacteristic
108#17988476C2211yescharacteristic
109#17988476C2211yescharacteristic
110#17988476C2211yescharacteristic
111#17988476C2211yescharacteristic
112#17988476C2211yescharacteristic
113#17988476C2211yescharacteristic
114#17988476C2211yescharacteristic
115#17988474C2211yescharacteristic, complemented
116#17988474C2211yescharacteristic, complemented
117#17988472C2211yescharacteristic, complemented
118#17988472C2211yescharacteristic, complemented
119#17988472C2211yescharacteristic, complemented
120#17988472C2211yescharacteristic, complemented
121#17988471C2211yescharacteristic, complemented
122#17988471C2211yescharacteristic, complemented
123#17988470C2211yescharacteristic, complemented
124#17988470C2211yescharacteristic, complemented
125#17988470C2211yescharacteristic, complemented
126#17988469C2211yescharacteristic, complemented
127#17988469C2211yescharacteristic, complemented
128#17988466C2211yescharacteristic
129#17988465C2211yescharacteristic
130#17988465C2211yescharacteristic
131#17988465C2211yescharacteristic
132#17988465C2211yescharacteristic
133#17988465C2211yescharacteristic
134#17988464C2211yescharacteristic
135#17988464C2211yescharacteristic
136#17988464C2211yescharacteristic
137#17988462C2211yescharacteristic
138#17988462C2211yescharacteristic
139#17988462C2211yescharacteristic
140#17988462C2211yescharacteristic
141#17988461C2211yescharacteristic
142#17988461C2211yescharacteristic
143#17988461C2211yescharacteristic
144#17988461C2211yescharacteristic
145#17988461C2211yescharacteristic
146#17988461C2211yescharacteristic
147#17988461C2211yescharacteristic, complemented
148#17988461C2211yescharacteristic, complemented
149#17988460C2211yescharacteristic
150#17988459C2211yescharacteristic
151#17988459C2211yescharacteristic
152#17988459C2211yescharacteristic
153#17988458C2211yescharacteristic
154#17988458C2211yescharacteristic
155#17988458C2211yescharacteristic
156#17988450C2211yescharacteristic
157#17988449C2211yescharacteristic
158#17988449C2211yescharacteristic
159#17988449C2211yescharacteristic
160#17988449C2211yescharacteristic, complemented
161#17988447C2211yescharacteristic
162#17988446C2211yescharacteristic
163#17988446C2211yescharacteristic
164#17988446C2211yescharacteristic
165#17988446C2211yescharacteristic
166#17988445C2211yescharacteristic
167#17988444C2211yescharacteristic
168#17988444C2211yescharacteristic
169#17988444C2211yescharacteristic
170#17988442C2211yescharacteristic
171C2×#14556498C2211yescharacteristic
172#401×C73C2211yescharacteristic, complemented
173#400×C73C2211yescharacteristic, complemented
174#400×C73C2211yescharacteristic, complemented
175#400×C73C2211yescharacteristic, complemented
176#387×C73C2211yescharacteristic, complemented
177#387×C73C2211yescharacteristic, complemented
178#387×C73C2211yescharacteristic, complemented
179#385×C73C2211yescharacteristic
180#385×C73C2211yescharacteristic
181#383×C73C2211yescharacteristic, complemented
182#381×C73C2211yescharacteristic
183#381×C73C2211yescharacteristic
184#380×C73C2211yescharacteristic
185C4×C22⋊C4×C73C2211yescharacteristic
186C2×#95×C73C2211yescharacteristic
187C24×D73C2311yescharacteristic
188C22×Dic146C2311yescharacteristic
189C22×D292C2311yescharacteristic
190C22×D292C2311yescharacteristic
191C22×C22⋊D73C2311yescharacteristic
192C23×Dic73C2311yescharacteristic
193C23×Dic73C2311yescharacteristic
194C23×Dic73C2311yescharacteristic
195C22×C4×D73C2311yescharacteristic
196C22×C4×D73C2311yescharacteristic
197C22×C4×D73C2311yescharacteristic
198C22×C4×D73C2311yescharacteristic
199C22×C4×D73C2311yescharacteristic
200#14556583—42no—
201#14556576—42no—
202#14556574—42no—
203#14556571—42no—
204#14556569—42no—
205#14556568—42no—
206#14556561—24no—
207C4×C22⋊D73—42no—
208C2×C4⋊Dic73C2311yescharacteristic
209C2×C4⋊Dic73C2311yescharacteristic
210C2×C4⋊Dic73C2311yescharacteristic
211C2×C4⋊Dic73C2311yescharacteristic
212C2×C4⋊Dic73C2311yescharacteristic
213C2×C4⋊Dic73C2311yescharacteristic
214C2×C4⋊Dic73C2311yescharacteristic
215C2×C4⋊Dic73C2311yescharacteristic
216C2×C4⋊Dic73C2311yescharacteristic
217C2×C4⋊Dic73C2311yescharacteristic
218C2×C4⋊Dic73C2311yescharacteristic
219C2×#11924007—42no—
220C2×#11924007C2311yescharacteristic
221C2×#11924007C2311yescharacteristic
222C2×#11924007C2311yescharacteristic
223C2×#11924007C2311yescharacteristic
224C2×#11924007C2311yescharacteristic
225C2×#11924007C2311yescharacteristic
226C2×#11924007C2311yescharacteristic
227C2×#11924007C2311yescharacteristic
228C2×#11924007C2311yescharacteristic
229C2×#11924007C2311yescharacteristic
230C2×#11924007C2311yescharacteristic
231C2×#11924007C2311yescharacteristic
232C2×#11924007C2311yescharacteristic
233C2×#11924007C2311yescharacteristic
234C2×#11924007C2311yescharacteristic
235C2×#11924007C2311yescharacteristic
236C2×#11924007C2311yescharacteristic
237C2×#11924007C2311yescharacteristic
238C2×#11924007C2311yescharacteristic
239C2×C22⋊Dic73C2311yescharacteristic
240C2×C22⋊Dic73C2311yescharacteristic
241C2×C22⋊Dic73C2311yescharacteristic
242C2×#11924005—24no—
243C2×#11924005—42no—
244C2×#11924005—42no—
245C2×#11924005C2311yescharacteristic
246C2×#11924005C2311yescharacteristic
247C2×#11924005C2311yescharacteristic
248C2×#11924005C2311yescharacteristic
249C2×#11924005C2311yescharacteristic
250C2×#11924005C2311yescharacteristic
251C2×#11924005C2311yescharacteristic
252C2×#11924005C2311yescharacteristic
253C2×#11924005C2311yescharacteristic
254C2×#11924005C2311yescharacteristic
255C2×#11924005C2311yescharacteristic
256C2×#11924005C2311yescharacteristic
257C2×#11924005C2311yescharacteristic
258C2×#11924005C2311yescharacteristic
259C2×#11924005C2311yescharacteristic
260C2×#11924005C2311yescharacteristic
261C2×#11924005C2311yescharacteristic
262C2×#11924005C2311yescharacteristic
263C2×#11924005C2311yescharacteristic
264C2×#11924005C2311yescharacteristic
265C2×#11924005C2311yescharacteristic
266C2×#11924005C2311yescharacteristic
267C2×#11924005C2311yescharacteristic
268C2×#11924005C2311yescharacteristic
269C2×#11924005C2311yescharacteristic
270C2×#11924005C2311yescharacteristic
271C2×#11924005C2311yescharacteristic
272C2×#11924005C2311yescharacteristic
273C2×#11924005C2311yescharacteristic
274C2×#11924005C2311yescharacteristic
275C2×#11924005C2311yescharacteristic
276C2×#11924005C2311yescharacteristic
277C2×#11924005C2311yescharacteristic
278C22⋊C4×D73—24no—
279C22⋊C4×D73—42no—
280C2×C4×Dic73—42no—
281C2×C4×Dic73C2311yescharacteristic
282C2×C4×Dic73C2311yescharacteristic
283C2×C4×Dic73C2311yescharacteristic
284C2×C4×Dic73C2311yescharacteristic
285C2×C4×Dic73C2311yescharacteristic
286#14556498C2311yescharacteristic
287#14556498C2311yescharacteristic
288#14556498C2311yescharacteristic
289#14556498C2311yescharacteristic
290#14556498C2311yescharacteristic
291#14556498C2311yescharacteristic
292#14556498C2311yescharacteristic
293#14556498C2311yescharacteristic
294#14556498C2311yescharacteristic
295#14556498C2311yescharacteristic
296#14556498C2311yescharacteristic
297#14556498C2311yescharacteristic
298#14556498C2311yescharacteristic
299#14556498C2311yescharacteristic
300#14556498C2311yescharacteristic
301#14556498C2311yescharacteristic
302#14556498C2311yescharacteristic
303#14556498C2311yescharacteristic
304#14556498C2311yescharacteristic
305#14556498C2311yescharacteristic
306#14556498C2311yescharacteristic
307#14556498C2311yescharacteristic
308#14556498C2311yescharacteristic
309#14556498C2311yescharacteristic
310#14556498C2311yescharacteristic
311#14556498C2311yescharacteristic
312#14556498C2311yescharacteristic
313#14556498C2311yescharacteristic
314#14556498C2311yescharacteristic
315#14556498C2311yescharacteristic
316#14556498C2311yescharacteristic
317#14556498C2311yescharacteristic
318#14556498C2311yescharacteristic
319#14556498C2311yescharacteristic
320#14556498C2311yescharacteristic
321#14556498C2311yescharacteristic
322C23×C4×C73C2311yescharacteristic
323C23×C4×C73C2311yescharacteristic
324C23×C4×C73C2311yescharacteristic
325C2×C4⋊C4×C73C2311yescharacteristic
326C2×C4⋊C4×C73C2311yescharacteristic
327C2×C4⋊C4×C73C2311yescharacteristic
328C2×C4⋊C4×C73C2311yescharacteristic
329C2×C4⋊C4×C73C2311yescharacteristic
330C2×C4⋊C4×C73C2311yescharacteristic
331C2×C22⋊C4×C73C2311yescharacteristic
332C2×C22⋊C4×C73C2311yescharacteristic
333C2×C22⋊C4×C73C2311yescharacteristic
334C2×C22⋊C4×C73C2311yescharacteristic
335C2×C42×C73C2311yescharacteristic
336C2×C42×C73C2311yescharacteristic
337#95×C73C2311yescharacteristic
338#95×C73C2311yescharacteristic
339#95×C73C2311yescharacteristic
340#95×C73C2311yescharacteristic
341#95×C73C2311yescharacteristic
342#95×C73C2311yescharacteristic
343#95×C73C2311yescharacteristic
344#95×C73C2311yescharacteristic
345#95×C73C2311yescharacteristic
346#95×C73C2311yescharacteristic
347#95×C73C2311yescharacteristic
348#95×C73C2311yescharacteristic
349#95×C73C2311yescharacteristic
350#95×C73C2311yescharacteristic
351#95×C73C2311yescharacteristic
352#95×C73C2311yescharacteristic
353#95×C73C2311yescharacteristic
354#95×C73C2311yescharacteristic
355#95×C73C2311yescharacteristic
356#95×C73C2311yescharacteristic
357C23×D73—22no—
358C23×D73—22no—
359C23×D73—41no—
360C23×D73—41no—
361C23×D73—41no—
362C23×D73—41no—
363C23×D73#4114yes—
364C23×D73C2411yescharacteristic
365C23×D73C2411yescharacteristic
366C23×D73C2411yescharacteristic
367C2×Dic146—22no—
368C2×Dic146—41no—
369C2×Dic146—41no—
370C2×D292—22no—
371C2×D292—22no—
372C2×D292—41no—
373C2×D292—41no—
374C2×D292—41no—
375C2×D292—41no—
376C2×C22⋊D73—22no—
377C2×C22⋊D73—22no—
378C2×C22⋊D73—22no—
379C22×Dic73—22no—
380C22×Dic73—22no—
381C22×Dic73—22no—
382C22×Dic73—22no—
383C22×Dic73—41no—
384C22×Dic73—41no—
385C22×Dic73—41no—
386C22×Dic73—41no—
387C22×Dic73—41no—
388C22×Dic73C2411yescharacteristic
389C22×Dic73C2411yescharacteristic
390C22×Dic73C2411yescharacteristic
391C22×Dic73C2411yescharacteristic
392C22×Dic73C2411yescharacteristic
393C22×Dic73C2411yescharacteristic
394C22×Dic73C2411yescharacteristic
395C22×Dic73C2411yescharacteristic
396C22×Dic73C2411yescharacteristic
397C22×Dic73C2411yescharacteristic
398C22×Dic73C2411yescharacteristic
399C22×Dic73C2411yescharacteristic
400C22×Dic73C2411yescharacteristic
401C2×C4×D73—22no—
402C2×C4×D73—22no—
403C2×C4×D73—41no—
404C2×C4×D73—41no—
405C2×C4×D73—41no—
406C2×C4×D73—41no—
407C2×C4×D73—41no—
408C2×C4×D73—41no—
409C2×C4×D73—41no—
410C2×C4×D73—41no—
411C2×C4×D73—41no—
412C2×C4×D73—41no—
413C2×C4×D73—41no—
414C2×C4×D73—41no—
415C2×C4×D73—41no—
416C4⋊Dic73—22no—
417C4⋊Dic73—41no—
418C4⋊Dic73—41no—
419C4⋊Dic73—41no—
420C4⋊Dic73—41no—
421C4⋊Dic73—41no—
422C4⋊Dic73—41no—
423C4⋊Dic73—41no—
424C4⋊Dic73—41no—
425C4⋊Dic73—41no—
426C4⋊Dic73—41no—
427#11924007—22no—
428#11924007—22no—
429#11924007—22no—
430#11924007—41no—
431#11924007—41no—
432#11924007—41no—
433#11924007—41no—
434#11924007—41no—
435#11924007—41no—
436#11924007—41no—
437#11924007—41no—
438#11924007—41no—
439#11924007—41no—
440#11924007—41no—
441#11924007—41no—
442#11924007—41no—
443#11924007—41no—
444#11924007—41no—
445#11924007—41no—
446C22⋊Dic73—22no—
447C22⋊Dic73—22no—
448C22⋊Dic73—22no—
449#11924005—22no—
450#11924005—22no—
451#11924005—22no—
452#11924005—22no—
453#11924005—22no—
454#11924005—22no—
455#11924005—22no—
456#11924005—22no—
457#11924005—22no—
458#11924005—22no—
459#11924005—22no—
460#11924005—41no—
461#11924005—41no—
462#11924005—41no—
463#11924005—41no—
464#11924005—41no—
465#11924005—41no—
466#11924005—41no—
467#11924005—41no—
468#11924005—41no—
469#11924005—41no—
470#11924005—41no—
471#11924005—41no—
472#11924005—41no—
473#11924005—41no—
474#11924005—41no—
475#11924005—41no—
476#11924005—41no—
477#11924005—41no—
478#11924005—41no—
479#11924005—41no—
480#11924005—41no—
481#11924005—41no—
482C4×Dic73—41no—
483C4×Dic73—41no—
484C4×Dic73—41no—
485C4×Dic73—41no—
486C4×Dic73—41no—
487C24×C73C2411yescharacteristic
488C22×C4×C73—22no—
489C22×C4×C73—22no—
490C22×C4×C73—22no—
491C22×C4×C73—22no—
492C22×C4×C73—22no—
493C22×C4×C73—41no—
494C22×C4×C73—41no—
495C22×C4×C73—41no—
496C22×C4×C73—41no—
497C22×C4×C73C2411yescharacteristic
498C22×C4×C73C2411yescharacteristic
499C22×C4×C73C2411yescharacteristic
500C22×C4×C73C2411yescharacteristic
501C22×C4×C73C2411yescharacteristic
502C22×C4×C73C2411yescharacteristic
503C22×C4×C73C2411yescharacteristic
504C22×C4×C73C2411yescharacteristic
505C22×C4×C73C2411yescharacteristic
506C22×C4×C73C2411yescharacteristic
507C22×C4×C73C2411yescharacteristic
508C22×C4×C73C2411yescharacteristic
509C22×C4×C73C2411yescharacteristic
510C22×C4×C73C2411yescharacteristic
511C4⋊C4×C73—41no—
512C4⋊C4×C73—41no—
513C4⋊C4×C73—41no—
514C4⋊C4×C73—41no—
515C4⋊C4×C73—41no—
516C4⋊C4×C73—41no—
517C22⋊C4×C73—22no—
518C22⋊C4×C73—22no—
519C22⋊C4×C73—22no—
520C22⋊C4×C73—22no—
521C42×C73—41no—
522C42×C73—41no—
523C23×C73—21no—
524C23×C73—21no—
525C23×C73—21no—
526C23×C73—21no—
527C23×C73C2×#4112yes—
528C23×C73H(5,𝔽2)12yes—
529C23×C732−1+412yes—
530C23×C73C2511yescharacteristic
531C22×D73—21no—
532C22×D73—21no—
533C22×D73—21no—
534C22×D73—21no—
535C22×D73—21no—
536C22×D73—21no—
537C22×D73—21no—
538C22×D73—21no—
539C22×D73—21no—
540C22×D73—21no—
541C22×D73—21no—
542C22×D73—21no—
543C22×D73—28no—
544C22×D73—21no—
545C22×D73—21no—
546C22×D73—21no—
547C22×D73—21no—
548C22×D73—21no—
549C22×D73—21no—
550C22×D73—21no—
551C22×D73—44no—
552C22×D73—44no—
553C22×D73—82no—
554C22×D73—82no—
555C22×D73—82no—
556C22×D73—82no—
557C22×D73C2×#4112yes—
558C22×D73C2×#4112yes—
559C2×C4×C73—21no—
560C2×C4×C73—21no—
561C2×C4×C73—21no—
562C2×C4×C73—21no—
563C2×C4×C73—21no—
564C2×C4×C73—21no—
565C2×C4×C73—21no—
566C2×C4×C73—21no—
567C2×C4×C73—21no—
568C2×C4×C73—21no—
569C2×C4×C73—21no—
570C2×C4×C73—21no—
571C2×C4×C73—21no—
572C2×C4×C73—21no—
573C2×C4×C73—21no—
574C2×C4×C73—21no—
575C2×C4×C73—21no—
576C2×C4×C73—21no—
577C2×C4×C73—21no—
578C2×C4×C73—21no—
579C2×C4×C73—21no—
580C2×C4×C73—21no—
581C2×C4×C73—21no—
582C2×C4×C73—21no—
583C2×C4×C73—21no—
584C2×C4×C73—21no—
585C2×C4×C73—21no—
586C2×C4×C73—21no—
587C2×C4×C73—21no—
588C2×C4×C73—21no—
589C2×C4×C73—21no—
590C2×C4×C73—21no—
591C2×C4×C73—21no—
592C2×C4×C73—21no—
593C2×C4×C73—21no—
594C2×C4×C73—21no—
595C2×C4×C73—21no—
596C2×C4×C73—21no—
597C2×C4×C73—21no—
598C2×C4×C73—21no—
599C2×C4×C73—21no—
600C2×C4×C73—21no—
601C2×C4×C73—44no—
602C2×C4×C73—82no—
603C2×C4×C73—82no—
604C22⋊D73—44no—
605C2×Dic73—21no—
606C2×Dic73—21no—
607C2×Dic73—21no—
608C2×Dic73—21no—
609C2×Dic73—21no—
610C2×Dic73—21no—
611C2×Dic73—21no—
612C2×Dic73—21no—
613C2×Dic73—21no—
614C2×Dic73—21no—
615C2×Dic73—21no—
616C2×Dic73—21no—
617C2×Dic73—21no—
618C2×Dic73—21no—
619C2×Dic73—21no—
620C2×Dic73—21no—
621C2×Dic73—21no—
622C2×Dic73—21no—
623C2×Dic73—21no—
624C2×Dic73—21no—
625C2×Dic73—21no—
626C2×Dic73—21no—
627C2×Dic73—21no—
628C2×Dic73—21no—
629C2×Dic73—21no—
630C2×Dic73—21no—
631C2×Dic73—21no—
632C2×Dic73—21no—
633C2×Dic73—21no—
634C2×Dic73—21no—
635C2×Dic73—21no—
636C2×Dic73—21no—
637C2×Dic73—21no—
638C2×Dic73—21no—
639C2×Dic73—21no—
640C2×Dic73—21no—
641C2×Dic73—21no—
642C2×Dic73—21no—
643C2×Dic73—44no—
644C2×Dic73—44no—
645C2×Dic73—44no—
646C2×Dic73H(5,𝔽2)12yes—
647D292—82no—
648D292—82no—
649C4×D73—82no—
650C4×D73—82no—
651C4×D73—82no—
652C4×D73—82no—
653C4×D73—82no—
654Dic146—82no—
655C22×C73—22no—
656C22×C73—22no—
657C22×C73—22no—
658C22×C73—22no—
659C22×C73—22no—
660C22×C73—22no—
661C22×C73#53914yes—
662C22×C73C22×#4111yescharacteristic
663C22×C73C2×H(5,𝔽2)11yescharacteristic
664C22×C73C2×H(5,𝔽2)11yescharacteristic
665C22×C73C2×2−1+411yescharacteristic
666C22×C73#58511yescharacteristic
667C22×C73#58511yescharacteristic
668C22×C73#58511yescharacteristic
669C2×D73—22no—
670C2×D73—22no—
671C2×D73—22no—
672C2×D73—22no—
673C2×D73—22no—
674C2×D73—22no—
675C2×D73—41no—
676C2×D73—41no—
677C2×D73—41no—
678C2×D73—41no—
679C2×D73—41no—
680C2×D73—41no—
681C2×D73—41no—
682C2×D73—41no—
683C2×D73—41no—
684C2×D73—41no—
685C2×D73—41no—
686C2×D73—41no—
687C2×D73—41no—
688C2×D73—41no—
689C2×D73—41no—
690C2×D73—88no—
691C4×C73—41no—
692C4×C73—41no—
693C4×C73—41no—
694C4×C73—41no—
695C4×C73—41no—
696C4×C73—41no—
697C4×C73—41no—
698C4×C73—41no—
699C4×C73—41no—
700C4×C73—41no—
701C4×C73—41no—
702C4×C73—41no—
703C4×C73—41no—
704C4×C73—41no—
705Dic73—22no—
706Dic73—41no—
707Dic73—41no—
708Dic73—41no—
709Dic73—41no—
710Dic73—41no—
711Dic73—41no—
712Dic73—41no—
713Dic73—41no—
714Dic73—41no—
715Dic73—41no—
716Dic73—41no—
717Dic73—41no—
718#36985—731nomaximal, Sylow
719C2×C73—24no—
720C2×C73C2×#53911yescharacteristic
721C2×C73#349111yescharacteristic
722C2×C73#350511yescharacteristic
723C2×C73#353311yescharacteristic
724C2×C73#353411yescharacteristic
725C2×C73#356111yescharacteristic
726C2×C73#356411yescharacteristic
727D73—42no—
728D73—42no—
729D73—81no—
730#2855—731no—
731#2853—731no—
732#2796—731no—
733#2787—731no—
734#2787—731no—
735#2757—731no—
736#2750—731no—
737#2747—731no—
738#2746—731no—
739#2745—731no—
740#2740—731no—
741#2739—731no—
742#2739—731no—
743#2738—731no—
744#2728—731no—
745#2707—731no—
746#2690—731no—
747#2687—731no—
748#2646—731no—
749#2643—731no—
750#2493D7311yescharacteristic, complemented
751#2483—731no—
752#2473—731no—
753#2449—731no—
754#2437—731no—
755#2419—731no—
756#2412—731no—
757#2412—731no—
758#2321—731no—
759#2315—731no—
760C2×#388—731no—
761C73#3698511yescharacteristic, complemented, Sylow
762C2×#125—731no—
763C2×#123—731no—
764C2×#123—731no—
765C2×C22⋊Q8—731no—
766C2×C22⋊Q8—731no—
767C2×C22⋊Q8—731no—
768C2×#120—731no—
769C2×C4×D4—731no—
770C22×C4⋊C4—731no—
771C22×C22⋊C4—731no—
772C22×C22⋊C4—731no—
773C22×C22⋊C4—731no—
774C22×C22⋊C4—731no—
775C22×C22⋊C4—731no—
776C22×C42—731no—
777#401—731no—
778#401C2×D7311yescharacteristic, complemented
779#400—731no—
780#400—731no—
781#400—731no—
782#400—731no—
783#400—731no—
784#400—731no—
785#400—731no—
786#400—731no—
787#400—731no—
788#400C2×D7311yescharacteristic, complemented
789#400C2×D7311yescharacteristic, complemented
790#400C2×D7311yescharacteristic, complemented
791#399—731no—
792#399—731no—
793#398—731no—
794#398—731no—
795#398—731no—
796#398—731no—
797#398—731no—
798#398—731no—
799#398—731no—
800#398—731no—
801#398—731no—
802#397—731no—
803#397—731no—
804#397—731no—
805#397—731no—
806#397—731no—
807#397—731no—
808#397—731no—
809#397—731no—
810#397—731no—
811#397—731no—
812#397—731no—
813#397—731no—
814#397—731no—
815#396—731no—
816#396—731no—
817#396—731no—
818#396—731no—
819#395—731no—
820#394—731no—
821#394—731no—
822#394—731no—
823#394—731no—
824#393—731no—
825#391—731no—
826#391—731no—
827#390—731no—
828#390—731no—
829#389—731no—
830#389—731no—
831#389—731no—
832#389—731no—
833#388—731no—
834#388—731no—
835#388—731no—
836#388—731no—
837#388—731no—
838#388—731no—
839#388—731no—
840#388—731no—
841#388—731no—
842#388—731no—
843#388—731no—
844#388—731no—
845#388—731no—
846#388—731no—
847#388—731no—
848#388—731no—
849#387—731no—
850#387—731no—
851#387—731no—
852#387—731no—
853#387—731no—
854#387—731no—
855#387—731no—
856#387—731no—
857#387—731no—
858#387—731no—
859#387—731no—
860#387—731no—
861#387—731no—
862#387C2×D7311yescharacteristic, complemented
863#387C2×D7311yescharacteristic, complemented
864#387C2×D7311yescharacteristic, complemented
865#386—731no—
866#386—731no—
867#386—731no—
868#386—731no—
869#386—731no—
870#386—731no—
871#386—731no—
872#386—731no—
873#386—731no—
874#385—731no—
875#385—731no—
876#385—731no—
877#385—731no—
878#385—731no—
879#385—731no—
880#385—731no—
881#385—731no—
882#385—731no—
883#385—731no—
884#385—731no—
885#385—731no—
886#385—731no—
887#385—731no—
888#385—731no—
889#385—731no—
890#385—731no—
891#385—731no—
892#385—731no—
893#385C2×D7311yescharacteristic
894#385C2×D7311yescharacteristic
895#383C2×D7311yescharacteristic, complemented
896#381—731no—
897#381—731no—
898#381—731no—
899#381—731no—
900#381—731no—
901#381C2×D7311yescharacteristic
902#381C2×D7311yescharacteristic
903#380—731no—
904#380—731no—
905#380—731no—
906#380—731no—
907#380—731no—
908#380—731no—
909#380—731no—
910#380—731no—
911#380—731no—
912#380C2×D7311yescharacteristic
913#379—731no—
914C4×C22⋊C4C2×D7311yescharacteristic
915C2×#95—731no—
916C2×#95C2×D7311yescharacteristic
917C25—731no—
918C22×Q8—731no—
919C22×D4—731no—
920C22×D4—731no—
921C22×D4—731no—
922C23×C4—731no—
923C23×C4—731no—
924C23×C4—731no—
925C23×C4—731no—
926C23×C4—731no—
927C23×C4—731no—
928C23×C4—731no—
929C23×C4—731no—
930C23×C4C22×D7311yescharacteristic
931C23×C4C22×D7311yescharacteristic
932C23×C4C22×D7311yescharacteristic
933#125—2922no—
934#123—2922no—
935#123—2922no—
936C22⋊Q8—2922no—
937C22⋊Q8—2922no—
938C22⋊Q8—2922no—
939#120—1464no—
940C4×D4—2922no—
941C2×C4⋊C4—2922no—
942C2×C4⋊C4—731no—
943C2×C4⋊C4—731no—
944C2×C4⋊C4—731no—
945C2×C4⋊C4—731no—
946C2×C4⋊C4—731no—
947C2×C4⋊C4—731no—
948C2×C4⋊C4—731no—
949C2×C4⋊C4—731no—
950C2×C4⋊C4—731no—
951C2×C4⋊C4—731no—
952C2×C4⋊C4—731no—
953C2×C4⋊C4—731no—
954C2×C4⋊C4—731no—
955C2×C4⋊C4—731no—
956C2×C4⋊C4—731no—
957C2×C4⋊C4—731no—
958C2×C4⋊C4—731no—
959C2×C4⋊C4—731no—
960C2×C4⋊C4—731no—
961C2×C4⋊C4—731no—
962C2×C4⋊C4—731no—
963C2×C4⋊C4—731no—
964C2×C4⋊C4—731no—
965C2×C4⋊C4—731no—
966C2×C4⋊C4—731no—
967C2×C4⋊C4—731no—
968C2×C4⋊C4—731no—
969C2×C4⋊C4—731no—
970C2×C4⋊C4—731no—
971C2×C4⋊C4—731no—
972C2×C4⋊C4C22×D7311yescharacteristic
973C2×C4⋊C4C22×D7311yescharacteristic
974C2×C4⋊C4C22×D7311yescharacteristic
975C2×C4⋊C4C22×D7311yescharacteristic
976C2×C4⋊C4C22×D7311yescharacteristic
977C2×C4⋊C4C22×D7311yescharacteristic
978C2×C22⋊C4—2922no—
979C2×C22⋊C4—2922no—
980C2×C22⋊C4—2922no—
981C2×C22⋊C4—731no—
982C2×C22⋊C4—731no—
983C2×C22⋊C4—731no—
984C2×C22⋊C4—731no—
985C2×C22⋊C4—731no—
986C2×C22⋊C4—731no—
987C2×C22⋊C4—731no—
988C2×C22⋊C4—731no—
989C2×C22⋊C4—731no—
990C2×C22⋊C4—731no—
991C2×C22⋊C4—731no—
992C2×C22⋊C4—731no—
993C2×C22⋊C4—731no—
994C2×C22⋊C4—731no—
995C2×C22⋊C4—731no—
996C2×C22⋊C4—731no—
997C2×C22⋊C4—731no—
998C2×C22⋊C4—731no—
999C2×C22⋊C4—731no—
1000C2×C22⋊C4—731no—
1001C2×C22⋊C4—731no—
1002C2×C22⋊C4—731no—
1003C2×C22⋊C4—731no—
1004C2×C22⋊C4—731no—
1005C2×C22⋊C4—731no—
1006C2×C22⋊C4—731no—
1007C2×C22⋊C4—731no—
1008C2×C22⋊C4—731no—
1009C2×C22⋊C4—731no—
1010C2×C22⋊C4—731no—
1011C2×C22⋊C4—731no—
1012C2×C22⋊C4—731no—
1013C2×C22⋊C4—731no—
1014C2×C22⋊C4—731no—
1015C2×C22⋊C4—731no—
1016C2×C22⋊C4—731no—
1017C2×C22⋊C4—1464no—
1018C2×C22⋊C4—1464no—
1019C2×C22⋊C4C22×D7311yescharacteristic
1020C2×C22⋊C4C22×D7311yescharacteristic
1021C2×C22⋊C4C22×D7311yescharacteristic
1022C2×C22⋊C4C22×D7311yescharacteristic
1023C2×C42—2922no—
1024C2×C42—731no—
1025C2×C42—731no—
1026C2×C42—731no—
1027C2×C42—731no—
1028C2×C42—731no—
1029C2×C42C22×D7311yescharacteristic
1030C2×C42C22×D7311yescharacteristic
1031#95—731no—
1032#95—731no—
1033#95—731no—
1034#95—731no—
1035#95—731no—
1036#95—731no—
1037#95—731no—
1038#95—731no—
1039#95—731no—
1040#95—731no—
1041#95—731no—
1042#95—731no—
1043#95—731no—
1044#95—731no—
1045#95—731no—
1046#95—731no—
1047#95—731no—
1048#95—731no—
1049#95—731no—
1050#95—731no—
1051#95—731no—
1052#95—731no—
1053#95—731no—
1054#95—731no—
1055#95—731no—
1056#95—731no—
1057#95—731no—
1058#95—731no—
1059#95—731no—
1060#95—731no—
1061#95—731no—
1062#95—731no—
1063#95—731no—
1064#95—731no—
1065#95—731no—
1066#95—731no—
1067#95C22×D7311yescharacteristic
1068#95C22×D7311yescharacteristic
1069#95C22×D7311yescharacteristic
1070#95C22×D7311yescharacteristic
1071#95C22×D7311yescharacteristic
1072#95C22×D7311yescharacteristic
1073#95C22×D7311yescharacteristic
1074#95C22×D7311yescharacteristic
1075#95C22×D7311yescharacteristic
1076#95C22×D7311yescharacteristic
1077#95C22×D7311yescharacteristic
1078#95C22×D7311yescharacteristic
1079#95C22×D7311yescharacteristic
1080#95C22×D7311yescharacteristic
1081#95C22×D7311yescharacteristic
1082#95C22×D7311yescharacteristic
1083#95C22×D7311yescharacteristic
1084#95C22×D7311yescharacteristic
1085#95C22×D7311yescharacteristic
1086#95C22×D7311yescharacteristic
1087C24—2921no—
1088C24—2921no—
1089C24—2921no—
1090C24—2921no—
1091C24—734no—
1092C24—731no—
1093C24—731no—
1094C24—731no—
1095C24—1462no—
1096C24—1462no—
1097C24C23×D7311yescharacteristic
1098C2×Q8—2921no—
1099C2×Q8—2921no—
1100C2×Q8—1462no—
1101C2×D4—2921no—
1102C2×D4—2921no—
1103C2×D4—2921no—
1104C2×D4—2921no—
1105C2×D4—1462no—
1106C2×D4—1462no—
1107C2×D4—1462no—
1108C2×D4—1462no—
1109C2×D4—1462no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—2921no—
1120C22×C4—2921no—
1121C22×C4—2921no—
1122C22×C4—2921no—
1123C22×C4—2921no—
1124C22×C4—2921no—
1125C22×C4—2921no—
1126C22×C4—2921no—
1127C22×C4—2921no—
1128C22×C4—2921no—
1129C22×C4—2921no—
1130C22×C4—2921no—
1131C22×C4—2921no—
1132C22×C4—2921no—
1133C22×C4—2921no—
1134C22×C4—2921no—
1135C22×C4—2921no—
1136C22×C4—2921no—
1137C22×C4—731no—
1138C22×C4—731no—
1139C22×C4—731no—
1140C22×C4—731no—
1141C22×C4—731no—
1142C22×C4—731no—
1143C22×C4—731no—
1144C22×C4—731no—
1145C22×C4—731no—
1146C22×C4—731no—
1147C22×C4—731no—
1148C22×C4—731no—
1149C22×C4—731no—
1150C22×C4—1462no—
1151C22×C4—1462no—
1152C22×C4—1462no—
1153C22×C4—1462no—
1154C22×C4—1462no—
1155C22×C4—1462no—
1156C22×C4C23×D7311yescharacteristic
1157C22×C4C23×D7311yescharacteristic
1158C22×C4C23×D7311yescharacteristic
1159C22×C4C23×D7311yescharacteristic
1160C22×C4C23×D7311yescharacteristic
1161C22×C4C23×D7311yescharacteristic
1162C22×C4C23×D7311yescharacteristic
1163C22×C4C23×D7311yescharacteristic
1164C22×C4C23×D7311yescharacteristic
1165C22×C4C23×D7311yescharacteristic
1166C22×C4C23×D7311yescharacteristic
1167C22×C4C23×D7311yescharacteristic
1168C22×C4C23×D7311yescharacteristic
1169C22×C4C23×D7311yescharacteristic
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—2921no—
1177C4⋊C4—2921no—
1178C4⋊C4—2921no—
1179C4⋊C4—2921no—
1180C4⋊C4—2921no—
1181C4⋊C4—2921no—
1182C4⋊C4—2921no—
1183C4⋊C4—2921no—
1184C4⋊C4—2921no—
1185C4⋊C4—2921no—
1186C4⋊C4—2921no—
1187C4⋊C4—2921no—
1188C4⋊C4—2921no—
1189C4⋊C4—2921no—
1190C4⋊C4—2921no—
1191C4⋊C4—2921no—
1192C4⋊C4—2921no—
1193C4⋊C4—2921no—
1194C4⋊C4—2921no—
1195C4⋊C4—2921no—
1196C4⋊C4—2921no—
1197C4⋊C4—2921no—
1198C4⋊C4—2921no—
1199C4⋊C4—2921no—
1200C4⋊C4—2921no—
1201C4⋊C4—2921no—
1202C4⋊C4—1462no—
1203C4⋊C4—1462no—
1204C4⋊C4—1462no—
1205C4⋊C4—1462no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—2921no—
1211C22⋊C4—2921no—
1212C22⋊C4—2921no—
1213C22⋊C4—2921no—
1214C22⋊C4—2921no—
1215C22⋊C4—2921no—
1216C22⋊C4—2921no—
1217C22⋊C4—2921no—
1218C22⋊C4—2921no—
1219C22⋊C4—2921no—
1220C22⋊C4—2921no—
1221C22⋊C4—2921no—
1222C22⋊C4—2921no—
1223C22⋊C4—2921no—
1224C22⋊C4—2921no—
1225C22⋊C4—2921no—
1226C22⋊C4—2921no—
1227C22⋊C4—2921no—
1228C22⋊C4—2921no—
1229C22⋊C4—2921no—
1230C22⋊C4—2921no—
1231C22⋊C4—2921no—
1232C22⋊C4—1462no—
1233C22⋊C4—1462no—
1234C22⋊C4—1462no—
1235C22⋊C4—1462no—
1236C22⋊C4—1462no—
1237C22⋊C4—1462no—
1238C22⋊C4—1462no—
1239C22⋊C4—1462no—
1240C22⋊C4—1462no—
1241C22⋊C4—1462no—
1242C22⋊C4—1462no—
1243C22⋊C4—1462no—
1244C22⋊C4—1462no—
1245C22⋊C4—1462no—
1246C42—41no—
1247C42—41no—
1248C42—2921no—
1249C42—2921no—
1250C42—2921no—
1251C42—2921no—
1252C42—2921no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—2924no—
1258C23—2924no—
1259C23—5842no—
1260C23—5842no—
1261C23—5842no—
1262C23—5842no—
1263C23—732no—
1264C23—732no—
1265C23—1461no—
1266C23—1461no—
1267C23—1461no—
1268C23—1461no—
1269C23—1461no—
1270C23—1461no—
1271C23—1461no—
1272C23—1461no—
1273C23—1461no—
1274C23—1461no—
1275C23—1461no—
1276C23—1461no—
1277C23—1461no—
1278C23—1461no—
1279C23—1461no—
1280C23—1461no—
1281C23—1461no—
1282C23—1461no—
1283C23—1461no—
1284C23—1468no—
1285C23#41×D7312yes—
1286C23#1455663712yes—
1287C23#1455663812yes—
1288C23C24×D7311yescharacteristic
1289Q8—5842no—
1290D4—2924no—
1291D4—5842no—
1292D4—5842no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—44no—
1336C2×C4—82no—
1337C2×C4—82no—
1338C2×C4—2924no—
1339C2×C4—2924no—
1340C2×C4—2924no—
1341C2×C4—5842no—
1342C2×C4—5842no—
1343C2×C4—5842no—
1344C2×C4—5842no—
1345C2×C4—5842no—
1346C2×C4—732no—
1347C2×C4—1461no—
1348C2×C4—1461no—
1349C2×C4—1461no—
1350C2×C4—1461no—
1351C2×C4—1461no—
1352C2×C4—1461no—
1353C2×C4—1461no—
1354C2×C4—1461no—
1355C2×C4—1461no—
1356C2×C4—1461no—
1357C2×C4—1461no—
1358C2×C4—1461no—
1359C2×C4—1461no—
1360C2×C4—1461no—
1361C2×C4—1461no—
1362C2×C4—1461no—
1363C2×C4—1461no—
1364C2×C4—1461no—
1365C2×C4—1461no—
1366C2×C4—1461no—
1367C2×C4—1461no—
1368C2×C4—1461no—
1369C2×C4—1461no—
1370C2×C4—1461no—
1371C2×C4—1461no—
1372C2×C4—1461no—
1373C2×C4—1461no—
1374C2×C4—1461no—
1375C2×C4—1461no—
1376C2×C4—1461no—
1377C2×C4—1461no—
1378C2×C4—1461no—
1379C2×C4—1461no—
1380C2×C4—1461no—
1381C2×C4—1461no—
1382C2×C4—1461no—
1383C2×C4—1461no—
1384C2×C4—1461no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—2921no—
1392C22—2921no—
1393C22—2921no—
1394C22—2921no—
1395C22—2921no—
1396C22—2921no—
1397C22—2921no—
1398C22—2921no—
1399C22—2921no—
1400C22—2921no—
1401C22—2921no—
1402C22—2921no—
1403C22—2921no—
1404C22—2921no—
1405C22—2921no—
1406C22—5848no—
1407C22—1462no—
1408C22—1462no—
1409C22—1462no—
1410C22—1462no—
1411C22—1462no—
1412C22—1462no—
1413C22#1798917814yes—
1414C22C2×#41×D7311yescharacteristic
1415C22H(5,𝔽2)×D7311yescharacteristic
1416C22C2×#1455663711yescharacteristic
1417C22C2×#1455663811yescharacteristic
1418C22#1798942311yescharacteristic
1419C22#1798942311yescharacteristic
1420C22#1798942411yescharacteristic
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—2921no—
1436C4—2921no—
1437C4—2921no—
1438C4—2921no—
1439C4—2921no—
1440C4—2921no—
1441C4—2921no—
1442C4—2921no—
1443C4—2921no—
1444C4—2921no—
1445C4—2921no—
1446C4—2921no—
1447C4—1462no—
1448C2—24no—
1449C2—2922no—
1450C2—2922no—
1451C2—5841no—
1452C2C2×#1798917811yescharacteristic
1453C2#2262362311yescharacteristic
1454C2#2262376311yescharacteristic
1455C2#2262409711yescharacteristic
1456C2#2262412411yescharacteristic
1457C2#2262448911yescharacteristic
1458C2#2262455111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2493C2
prime radicalC2×#14556561C22
hypercenter#2493D73
hypocenterC73#36985
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
1. #22618268C2semidirect
2. #22618254C2semidirect
3. #22617776C2semidirect
4. #22617669C2semidirect
5. #22617661C2semidirect
6. #22617264C2semidirect
7. #22617168C2semidirect
8. #22617133C2semidirect
9. #22617108C2semidirect
10. #22617095C2semidirect
11. #22617026C2semidirect
12. #22617023C2semidirect
13. #22617009C2semidirect
14. #22617002C2semidirect
15. #22616905C2semidirect
16. #22616635C2semidirect
17. #22616400C2semidirect
18. #22616357C2semidirect
19. #22615904C2semidirect
20. #22615887C2semidirect
21. #22614210C2semidirect
22. #22614072C2semidirect
23. #22613742C2semidirect
24. #22613595C2semidirect
25. #22613408C2semidirect
29. #22612542C2semidirect
30. C2×#17988476C2semidirect
31. C73×#2493C2semidirect
32. C2×#14556583C22semidirect
36. C2×#14556569C22semidirect
47. C73⋊#401C22semidirect
48. #17988529C22semidirect
49. #17988529C22semidirect
50. #17988529C22semidirect
51. #17988529C22semidirect
52. #17988528C22semidirect
53. #17988526C22semidirect
54. #17988526C22semidirect
55. #17988526C22semidirect
56. #17988525C22semidirect
58. #17988522C22semidirect
59. #17988521C22semidirect
60. #17988521C22semidirect
61. #17988521C22semidirect
62. #17988521C22semidirect
63. #17988521C22semidirect
64. #17988520C22semidirect
65. #17988520C22semidirect
66. #17988519C22semidirect
67. #17988519C22semidirect
73. #17988516C22semidirect
74. #17988516C22semidirect
77. #17988514C22semidirect
78. #17988514C22semidirect
80. #17988513C22semidirect
81. #17988511C22semidirect
84. #17988509C22semidirect
85. #17988507C22semidirect
91. #17988491C22semidirect
92. #17988491C22semidirect
95. #17988485C22semidirect
96. #17988484C22semidirect
97. #17988484C22semidirect
98. #17988482C22semidirect
101. #17988479C22semidirect
102. #17988479C22semidirect
103. #17988479C22semidirect
104. #17988479C22semidirect
115. #17988474C22semidirect
116. #17988474C22semidirect
117. #17988472C22semidirect
118. #17988472C22semidirect
119. #17988472C22semidirect
120. #17988472C22semidirect
121. #17988471C22semidirect
122. #17988471C22semidirect
123. #17988470C22semidirect
124. #17988470C22semidirect
125. #17988470C22semidirect
126. #17988469C22semidirect
127. #17988469C22semidirect
147. #17988461C22semidirect
148. #17988461C22semidirect
160. #17988449C22semidirect
172. #401×C73C22semidirect
173. #400×C73C22semidirect
174. #400×C73C22semidirect
175. #400×C73C22semidirect
176. #387×C73C22semidirect
177. #387×C73C22semidirect
178. #387×C73C22semidirect
181. #383×C73C22semidirect
750. #2493D73semidirect
761. C73#36985semidirect
778. #401C2×D73semidirect
788. #400C2×D73semidirect
789. #400C2×D73semidirect
790. #400C2×D73semidirect
862. #387C2×D73semidirect
863. #387C2×D73semidirect
864. #387C2×D73semidirect
895. #383C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226182682
#226182542
#226177762
#226176692
#226176612
#226172642
#226171682
#226171332
#226171082
#226170952
#226170262
#226170232
#226170092
#226170022
#226169052
#226166352
#226164002
#226163572
#226159042
#226158872
#226142102
#226140722
#226137422
#226135952
#226134082
#226133292
#226133242
#226125912
#226125422
C2×#179884762
C73×#24932
#3698573