Finite Group Databasebeta

← #33293587

Subgroups — #33293587

Order 18688.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22618219C211yesmaximal, characteristic, complemented
2#22618217C211yesmaximal, characteristic, complemented
3#22617876C211yesmaximal, characteristic, complemented
4#22617633C211yesmaximal, characteristic, complemented
5#22617628C211yesmaximal, characteristic, complemented
6#22617580C211yesmaximal, characteristic, complemented
7#22617579C211yesmaximal, characteristic, complemented
8#22617572C211yesmaximal, characteristic, complemented
9#22617143C211yesmaximal, characteristic, complemented
10#22617139C211yesmaximal, characteristic, complemented
11#22616953C211yesmaximal, characteristic, complemented
12#22616950C211yesmaximal, characteristic, complemented
13#22616433C211yesmaximal, characteristic, complemented
14#22616431C211yesmaximal, characteristic, complemented
15#22616430C211yesmaximal, characteristic, complemented
16#22616428C211yesmaximal, characteristic, complemented
17#22616302C211yesmaximal, characteristic, complemented
18#22615741C211yesmaximal, characteristic, complemented
19#22615737C211yesmaximal, characteristic, complemented
20#22613614C211yesmaximal, characteristic, complemented
21#22613612C211yesmaximal, characteristic, complemented
22#22613610C211yesmaximal, characteristic, complemented
23#22613608C211yesmaximal, characteristic, complemented
24#22613596C211yesmaximal, characteristic, complemented
25#22613595C211yesmaximal, characteristic, complemented
26#22613593C211yesmaximal, characteristic, complemented
27#22613593C211yesmaximal, characteristic, complemented
28#22612510C211yesmaximal, characteristic
29#22612505C211yesmaximal, characteristic
30#386×D73C211yesmaximal, characteristic
31C73×#2780C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C23×C4×D73C2211yescharacteristic
34C2×#14556571C2211yescharacteristic
35C2×#14556571C2211yescharacteristic
36C2×#14556571C2211yescharacteristic, complemented
37C2×#14556571C2211yescharacteristic, complemented
38C2×#14556570C2211yescharacteristic, complemented
39C2×#14556570C2211yescharacteristic, complemented
40C2×#14556569C2211yescharacteristic
41C2×#14556569C2211yescharacteristic
42C2×#14556569C2211yescharacteristic, complemented
43C2×#14556569C2211yescharacteristic, complemented
44C2×#14556568C2211yescharacteristic, complemented
45C2×#14556568C2211yescharacteristic, complemented
46C2×#14556549C2211yescharacteristic
47C2×#14556548C2211yescharacteristic
48C22×#11924005C2211yescharacteristic
49C2×C22⋊C4×D73C2211yescharacteristic
50C2×C22⋊C4×D73C2211yescharacteristic
51C2×C22⋊C4×D73C2211yescharacteristic
52C2×C22⋊C4×D73C2211yescharacteristic
53#17988527C2211yescharacteristic, complemented
54#17988526C2211yescharacteristic, complemented
55#17988525C2211yescharacteristic, complemented
56#17988524C2211yescharacteristic, complemented
57#17988523C2211yescharacteristic, complemented
58#17988523C2211yescharacteristic, complemented
59#17988523C2211yescharacteristic, complemented
60#17988522C2211yescharacteristic, complemented
61#17988522C2211yescharacteristic, complemented
62#17988522C2211yescharacteristic, complemented
63#17988521C2211yescharacteristic, complemented
64#17988521C2211yescharacteristic, complemented
65#17988520C2211yescharacteristic, complemented
66#17988520C2211yescharacteristic, complemented
67#17988519C2211yescharacteristic, complemented
68#17988518C2211yescharacteristic, complemented
69#17988517C2211yescharacteristic, complemented
70#17988511C2211yescharacteristic, complemented
71#17988510C2211yescharacteristic, complemented
72#17988510C2211yescharacteristic, complemented
73#17988510C2211yescharacteristic, complemented
74#17988510C2211yescharacteristic, complemented
75#17988510C2211yescharacteristic, complemented
76#17988509C2211yescharacteristic, complemented
77#17988509C2211yescharacteristic, complemented
78#17988509C2211yescharacteristic, complemented
79#17988509C2211yescharacteristic, complemented
80#17988509C2211yescharacteristic, complemented
81#17988509C2211yescharacteristic, complemented
82#17988509C2211yescharacteristic, complemented
83#17988508C2211yescharacteristic, complemented
84#17988508C2211yescharacteristic, complemented
85#17988507C2211yescharacteristic, complemented
86#17988507C2211yescharacteristic, complemented
87#17988500C2211yescharacteristic, complemented
88#17988500C2211yescharacteristic, complemented
89#17988500C2211yescharacteristic, complemented
90#17988500C2211yescharacteristic, complemented
91#17988499C2211yescharacteristic, complemented
92#17988499C2211yescharacteristic, complemented
93#17988499C2211yescharacteristic, complemented
94#17988499C2211yescharacteristic, complemented
95#17988491C2211yescharacteristic, complemented
96#17988491C2211yescharacteristic, complemented
97#17988491C2211yescharacteristic, complemented
98#17988491C2211yescharacteristic, complemented
99#17988490C2211yescharacteristic
100#17988489C2211yescharacteristic
101#17988488C2211yescharacteristic
102#17988487C2211yescharacteristic
103#17988487C2211yescharacteristic
104#17988487C2211yescharacteristic
105#17988487C2211yescharacteristic
106#17988486C2211yescharacteristic, complemented
107#17988485C2211yescharacteristic, complemented
108#17988483C2211yescharacteristic, complemented
109#17988474C2211yescharacteristic, complemented
110#17988473C2211yescharacteristic, complemented
111#17988472C2211yescharacteristic, complemented
112#17988471C2211yescharacteristic, complemented
113#17988470C2211yescharacteristic, complemented
114#17988469C2211yescharacteristic, complemented
115#17988468C2211yescharacteristic, complemented
116#17988467C2211yescharacteristic
117#17988467C2211yescharacteristic
118#17988466C2211yescharacteristic
119#17988466C2211yescharacteristic
120#17988465C2211yescharacteristic
121#17988465C2211yescharacteristic
122#17988465C2211yescharacteristic
123#17988465C2211yescharacteristic
124#17988464C2211yescharacteristic
125#17988464C2211yescharacteristic
126#17988463C2211yescharacteristic
127#17988463C2211yescharacteristic
128#17988463C2211yescharacteristic
129#17988463C2211yescharacteristic
130#17988462C2211yescharacteristic, complemented
131#17988462C2211yescharacteristic, complemented
132#17988462C2211yescharacteristic, complemented
133#17988461C2211yescharacteristic
134#17988461C2211yescharacteristic
135#17988461C2211yescharacteristic
136#17988461C2211yescharacteristic
137#17988461C2211yescharacteristic, complemented
138#17988461C2211yescharacteristic, complemented
139#17988461C2211yescharacteristic, complemented
140#17988461C2211yescharacteristic, complemented
141#17988460C2211yescharacteristic, complemented
142#17988459C2211yescharacteristic, complemented
143#17988458C2211yescharacteristic
144#17988458C2211yescharacteristic
145#17988458C2211yescharacteristic
146#17988458C2211yescharacteristic
147#17988458C2211yescharacteristic, complemented
148#17988458C2211yescharacteristic, complemented
149#17988458C2211yescharacteristic, complemented
150#17988458C2211yescharacteristic, complemented
151#17988449C2211yescharacteristic
152#17988449C2211yescharacteristic
153#17988447C2211yescharacteristic, complemented
154#17988446C2211yescharacteristic
155#17988446C2211yescharacteristic
156#17988446C2211yescharacteristic, complemented
157#17988446C2211yescharacteristic, complemented
158#17988445C2211yescharacteristic, complemented
159#17988445C2211yescharacteristic, complemented
160#17988444C2211yescharacteristic
161#17988444C2211yescharacteristic
162#17988444C2211yescharacteristic, complemented
163#17988444C2211yescharacteristic, complemented
164#17988442C2211yescharacteristic
165#17988442C2211yescharacteristic
166#17988442C2211yescharacteristic
167#17988442C2211yescharacteristic
168#17988442C2211yescharacteristic
169#17988442C2211yescharacteristic
170#95×D73C2211yescharacteristic
171#95×D73C2211yescharacteristic
172#400×C73C2211yescharacteristic, complemented
173#399×C73C2211yescharacteristic, complemented
174#398×C73C2211yescharacteristic, complemented
175#396×C73C2211yescharacteristic, complemented
176#396×C73C2211yescharacteristic, complemented
177#396×C73C2211yescharacteristic, complemented
178#390×C73C2211yescharacteristic
179#389×C73C2211yescharacteristic, complemented
180#387×C73C2211yescharacteristic, complemented
181#386×C73C2211yescharacteristic
182#386×C73C2211yescharacteristic
183#385×C73C2211yescharacteristic, complemented
184#385×C73C2211yescharacteristic, complemented
185#385×C73C2211yescharacteristic, complemented
186#380×C73C2211yescharacteristic, complemented
187C24×D73C2311yescharacteristic
188C24×D73C2311yescharacteristic
189C22×Dic146C2311yescharacteristic
190C22×Dic146C2311yescharacteristic
191C22×Dic146C2311yescharacteristic
192C22×Dic146C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×C22⋊D73C2311yescharacteristic
195C22×C22⋊D73C2311yescharacteristic
196C2×D4×D73—42no—
197C2×D4×D73—42no—
198C2×D4×D73Q818yescomplemented
199C23×Dic73C2311yescharacteristic
200C23×Dic73C2311yescharacteristic
201C22×C4×D73—42no—
202C22×C4×D73—42no—
203C22×C4×D73—42no—
204C22×C4×D73C2311yescharacteristic
205C22×C4×D73C2311yescharacteristic
206C22×C4×D73C2311yescharacteristic
207C22×C4×D73C2311yescharacteristic
208C22×C4×D73C2311yescharacteristic
209C22×C4×D73C2311yescharacteristic
210C22×C4×D73C2311yescharacteristic
211C22×C4×D73C2311yescharacteristic
212C22×C4×D73C2311yescharacteristic
213#14556571—42no—
214#14556571—42no—
215#14556571—42no—
216#14556571—42no—
217#14556570—42no—
218#14556570—42no—
219#14556569—42no—
220#14556569—42no—
221#14556569—42no—
222#14556569—42no—
223#14556568—42no—
224#14556568—42no—
225#14556549—42no—
226#14556548—42no—
227C2×C4⋊Dic73C2311yescharacteristic
228C2×C4⋊Dic73C2311yescharacteristic
229C2×C4⋊Dic73C2311yescharacteristic
230C2×C4⋊Dic73C2311yescharacteristic
231C2×C4⋊Dic73C2311yescharacteristic
232C2×C4⋊Dic73C2311yescharacteristic
233C2×C4⋊Dic73C2311yescharacteristic
234C2×C4⋊Dic73C2311yescharacteristic
235C2×C4⋊Dic73C2311yescharacteristic
236C2×C4⋊Dic73C2311yescharacteristic
237C2×C4⋊Dic73C2311yescharacteristic
238C2×#11924007C2311yescharacteristic
239C2×#11924007C2311yescharacteristic
240C2×#11924007C2311yescharacteristic
241C2×#11924007C2311yescharacteristic
242C2×#11924007C2311yescharacteristic
243C2×#11924007C2311yescharacteristic
244C2×#11924007C2311yescharacteristic
245C2×#11924007C2311yescharacteristic
246C2×#11924007C2311yescharacteristic
247C2×#11924007C2311yescharacteristic
248C2×#11924007C2311yescharacteristic
249C2×#11924007C2311yescharacteristic
250C2×#11924007C2311yescharacteristic
251C2×#11924007C2311yescharacteristic
252C2×#11924007C2311yescharacteristic
253C2×#11924007C2311yescharacteristic
254C2×#11924007C2311yescharacteristic
255C2×#11924007C2311yescharacteristic
256C2×C22⋊Dic73C2311yescharacteristic
257C2×C22⋊Dic73C2311yescharacteristic
258C2×C22⋊Dic73C2311yescharacteristic
259C2×C22⋊Dic73C2311yescharacteristic
260C2×C22⋊Dic73C2311yescharacteristic
261C2×C22⋊Dic73C2311yescharacteristic
262C2×C22⋊Dic73C2311yescharacteristic
263C2×C22⋊Dic73C2311yescharacteristic
264C2×C22⋊Dic73C2311yescharacteristic
265C2×C22⋊Dic73C2311yescharacteristic
266C2×#11924005—42no—
267C2×#11924005C2311yescharacteristic
268C2×#11924005C2311yescharacteristic
269C2×#11924005C2311yescharacteristic
270C2×#11924005C2311yescharacteristic
271C2×#11924005C2311yescharacteristic
272C2×#11924005C2311yescharacteristic
273C2×#11924005C2311yescharacteristic
274C2×#11924005C2311yescharacteristic
275C2×#11924005C2311yescharacteristic
276C2×#11924005C2311yescharacteristic
277C2×#11924005C2311yescharacteristic
278C2×#11924005C2311yescharacteristic
279C2×#11924005C2311yescharacteristic
280C2×#11924005C2311yescharacteristic
281C2×#11924005C2311yescharacteristic
282C2×#11924005C2311yescharacteristic
283C2×#11924005C2311yescharacteristic
284C2×#11924005C2311yescharacteristic
285C2×#11924005C2311yescharacteristic
286C2×#11924005C2311yescharacteristic
287C2×#11924005C2311yescharacteristic
288C2×#11924005C2311yescharacteristic
289C2×#11924005C2311yescharacteristic
290C2×#11924005C2311yescharacteristic
291C2×#11924005C2311yescharacteristic
292C2×#11924005C2311yescharacteristic
293C2×#11924005C2311yescharacteristic
294C2×#11924005C2311yescharacteristic
295C22⋊C4×D73—42no—
296C22⋊C4×D73—42no—
297C22⋊C4×D73—42no—
298C22⋊C4×D73—42no—
299C2×C4×Dic73C2311yescharacteristic
300C2×C4×Dic73C2311yescharacteristic
301C2×C4×Dic73C2311yescharacteristic
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
322#14556498C2311yescharacteristic
323#14556498C2311yescharacteristic
324#14556498C2311yescharacteristic
325#14556498C2311yescharacteristic
326#14556498C2311yescharacteristic
327#14556498C2311yescharacteristic
328#14556498C2311yescharacteristic
329#14556498C2311yescharacteristic
330#14556498C2311yescharacteristic
331#14556498C2311yescharacteristic
332C22×D4×C73C2311yescharacteristic
333C23×C4×C73C2311yescharacteristic
334C23×C4×C73C2311yescharacteristic
335C2×C4⋊C4×C73C2311yescharacteristic
336C2×C4⋊C4×C73C2311yescharacteristic
337C2×C4⋊C4×C73C2311yescharacteristic
338C2×C4⋊C4×C73C2311yescharacteristic
339C2×C4⋊C4×C73C2311yescharacteristic
340C2×C4⋊C4×C73C2311yescharacteristic
341C2×C4⋊C4×C73C2311yescharacteristic
342C2×C4⋊C4×C73C2311yescharacteristic
343C2×C4⋊C4×C73C2311yescharacteristic
344C2×C4⋊C4×C73C2311yescharacteristic
345C2×C4⋊C4×C73C2311yescharacteristic
346C2×C22⋊C4×C73C2311yescharacteristic
347C2×C22⋊C4×C73C2311yescharacteristic
348C2×C22⋊C4×C73C2311yescharacteristic
349C2×C22⋊C4×C73C2311yescharacteristic
350C2×C22⋊C4×C73C2311yescharacteristic
351C2×C22⋊C4×C73C2311yescharacteristic
352C2×C22⋊C4×C73C2311yescharacteristic
353C2×C22⋊C4×C73C2311yescharacteristic
354C2×C22⋊C4×C73C2311yescharacteristic
355C2×C22⋊C4×C73C2311yescharacteristic
356C2×C42×C73C2311yescharacteristic
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367C23×D73—22no—
368C23×D73—22no—
369C23×D73—22no—
370C23×D73—22no—
371C23×D73—41no—
372C23×D73—41no—
373C23×D73—41no—
374C23×D73—41no—
375C23×D73—41no—
376C23×D73—41no—
377C23×D73—41no—
378C23×D73—41no—
379C23×D73C2×Q814yes—
380C23×D73C2×Q814yes—
381C23×D73C2411yescharacteristic
382C23×D73C2411yescharacteristic
383C23×D73C2411yescharacteristic
384C2×Dic146—22no—
385C2×Dic146—22no—
386C2×Dic146—41no—
387C2×Dic146—41no—
388C2×Dic146—41no—
389C2×Dic146—41no—
390C2×Dic146—41no—
391C2×Dic146—41no—
392C2×Dic146—41no—
393C2×Dic146—41no—
394C2×Dic146—41no—
395C2×Dic146—41no—
396C2×D292—41no—
397C2×D292—41no—
398C2×D292C2×Q814yes—
399C2×C22⋊D73—41no—
400C2×C22⋊D73—41no—
401C2×C22⋊D73—41no—
402C2×C22⋊D73—41no—
403C2×C22⋊D73C2×Q814yes—
404C2×C22⋊D73C2×Q814yes—
405D4×D73—416no—
406C22×Dic73—22no—
407C22×Dic73—41no—
408C22×Dic73—41no—
409C22×Dic73—41no—
410C22×Dic73—41no—
411C22×Dic73—41no—
412C22×Dic73C2411yescharacteristic
413C22×Dic73C2411yescharacteristic
414C22×Dic73C2411yescharacteristic
415C22×Dic73C2411yescharacteristic
416C22×Dic73C2411yescharacteristic
417C22×Dic73C2411yescharacteristic
418C22×Dic73C2411yescharacteristic
419C22×Dic73C2411yescharacteristic
420C22×Dic73C2411yescharacteristic
421C22×Dic73C2411yescharacteristic
422C22×Dic73C2411yescharacteristic
423C22×Dic73C2411yescharacteristic
424C22×Dic73C2411yescharacteristic
425C2×C4×D73—22no—
426C2×C4×D73—22no—
427C2×C4×D73—22no—
428C2×C4×D73—22no—
429C2×C4×D73—22no—
430C2×C4×D73—22no—
431C2×C4×D73—22no—
432C2×C4×D73—22no—
433C2×C4×D73—22no—
434C2×C4×D73—22no—
435C2×C4×D73—41no—
436C2×C4×D73—41no—
437C2×C4×D73—41no—
438C2×C4×D73—41no—
439C2×C4×D73—41no—
440C2×C4×D73—41no—
441C2×C4×D73—416no—
442C2×C4×D73—41no—
443C2×C4×D73—41no—
444C2×C4×D73—41no—
445C2×C4×D73—41no—
446C2×C4×D73—41no—
447C2×C4×D73—41no—
448C2×C4×D73—41no—
449C2×C4×D73—41no—
450C2×C4×D73—41no—
451C2×C4×D73—41no—
452C2×C4×D73C2×Q814yes—
453C4⋊Dic73—22no—
454C4⋊Dic73—22no—
455C4⋊Dic73—22no—
456C4⋊Dic73—41no—
457C4⋊Dic73—41no—
458C4⋊Dic73—41no—
459C4⋊Dic73—41no—
460C4⋊Dic73—41no—
461C4⋊Dic73—41no—
462C4⋊Dic73—41no—
463C4⋊Dic73—41no—
464#11924007—22no—
465#11924007—22no—
466#11924007—41no—
467#11924007—41no—
468#11924007—41no—
469#11924007—41no—
470#11924007—41no—
471#11924007—41no—
472#11924007—41no—
473#11924007—41no—
474#11924007—41no—
475#11924007—41no—
476#11924007—41no—
477#11924007—41no—
478#11924007—41no—
479#11924007—41no—
480#11924007—41no—
481#11924007—41no—
482C22⋊Dic73—22no—
483C22⋊Dic73—41no—
484C22⋊Dic73—41no—
485C22⋊Dic73—41no—
486C22⋊Dic73—41no—
487C22⋊Dic73—41no—
488C22⋊Dic73—41no—
489C22⋊Dic73—41no—
490C22⋊Dic73—41no—
491C22⋊Dic73—41no—
492#11924005—22no—
493#11924005—22no—
494#11924005—22no—
495#11924005—22no—
496#11924005—22no—
497#11924005—22no—
498#11924005—22no—
499#11924005—22no—
500#11924005—22no—
501#11924005—22no—
502#11924005—41no—
503#11924005—41no—
504#11924005—41no—
505#11924005—41no—
506#11924005—41no—
507#11924005—41no—
508#11924005—41no—
509#11924005—41no—
510#11924005—41no—
511#11924005—41no—
512#11924005—41no—
513#11924005—41no—
514#11924005—41no—
515#11924005—41no—
516#11924005—41no—
517#11924005—41no—
518#11924005—41no—
519#11924005—41no—
520C4×Dic73—41no—
521C4×Dic73—41no—
522C4×Dic73—41no—
523C24×C73C2411yescharacteristic
524C24×C73C2411yescharacteristic
525C2×D4×C73—41no—
526C2×D4×C73—41no—
527C2×D4×C73C2×Q814yes—
528C22×C4×C73—22no—
529C22×C4×C73—41no—
530C22×C4×C73—41no—
531C22×C4×C73—41no—
532C22×C4×C73—41no—
533C22×C4×C73—41no—
534C22×C4×C73C2411yescharacteristic
535C22×C4×C73C2411yescharacteristic
536C22×C4×C73C2411yescharacteristic
537C22×C4×C73C2411yescharacteristic
538C22×C4×C73C2411yescharacteristic
539C22×C4×C73C2411yescharacteristic
540C22×C4×C73C2411yescharacteristic
541C22×C4×C73C2411yescharacteristic
542C22×C4×C73C2411yescharacteristic
543C22×C4×C73C2411yescharacteristic
544C22×C4×C73C2411yescharacteristic
545C22×C4×C73C2411yescharacteristic
546C22×C4×C73C2411yescharacteristic
547C4⋊C4×C73—22no—
548C4⋊C4×C73—41no—
549C4⋊C4×C73—41no—
550C4⋊C4×C73—41no—
551C4⋊C4×C73—41no—
552C4⋊C4×C73—41no—
553C4⋊C4×C73—41no—
554C4⋊C4×C73—41no—
555C4⋊C4×C73—41no—
556C4⋊C4×C73—41no—
557C4⋊C4×C73—41no—
558C22⋊C4×C73—22no—
559C22⋊C4×C73—41no—
560C22⋊C4×C73—41no—
561C22⋊C4×C73—41no—
562C22⋊C4×C73—41no—
563C22⋊C4×C73—41no—
564C22⋊C4×C73—41no—
565C22⋊C4×C73—41no—
566C22⋊C4×C73—41no—
567C22⋊C4×C73—41no—
568C42×C73—41no—
569C23×C73—21no—
570C23×C73—21no—
571C23×C73—21no—
572C23×C73—21no—
573C23×C73—21no—
574C23×C73—21no—
575C23×C73—21no—
576C23×C73—21no—
577C23×C73—21no—
578C23×C73—21no—
579C23×C73—21no—
580C23×C73—21no—
581C23×C73C22×Q812yes—
582C23×C73C22×Q812yes—
583C23×C73C2511yescharacteristic
584C22×D73—21no—
585C22×D73—21no—
586C22×D73—21no—
587C22×D73—21no—
588C22×D73—21no—
589C22×D73—21no—
590C22×D73—21no—
591C22×D73—21no—
592C22×D73—21no—
593C22×D73—21no—
594C22×D73—21no—
595C22×D73—21no—
596C22×D73—21no—
597C22×D73—21no—
598C22×D73—21no—
599C22×D73—21no—
600C22×D73—28no—
601C22×D73—28no—
602C22×D73—44no—
603C22×D73—44no—
604C22×D73—44no—
605C22×D73—44no—
606C22×D73—44no—
607C22×D73—44no—
608C22×D73—44no—
609C22×D73—44no—
610C22×D73—82no—
611C22×D73—82no—
612C22×D73—82no—
613C22×D73—82no—
614C22×D73C22×Q812yes—
615C22×D73C22×Q812yes—
616C22×D73C22×Q812yes—
617C22×D73H(5,𝔽2)12yes—
618C22×D73H(5,𝔽2)12yes—
619D4×C73—44no—
620C2×C4×C73—21no—
621C2×C4×C73—21no—
622C2×C4×C73—21no—
623C2×C4×C73—21no—
624C2×C4×C73—21no—
625C2×C4×C73—21no—
626C2×C4×C73—21no—
627C2×C4×C73—21no—
628C2×C4×C73—21no—
629C2×C4×C73—21no—
630C2×C4×C73—21no—
631C2×C4×C73—21no—
632C2×C4×C73—21no—
633C2×C4×C73—21no—
634C2×C4×C73—21no—
635C2×C4×C73—21no—
636C2×C4×C73—21no—
637C2×C4×C73—21no—
638C2×C4×C73—21no—
639C2×C4×C73—21no—
640C2×C4×C73—21no—
641C2×C4×C73—21no—
642C2×C4×C73—21no—
643C2×C4×C73—21no—
644C2×C4×C73—21no—
645C2×C4×C73—21no—
646C2×C4×C73—21no—
647C2×C4×C73—21no—
648C2×C4×C73—21no—
649C2×C4×C73—21no—
650C2×C4×C73—21no—
651C2×C4×C73—21no—
652C2×C4×C73—21no—
653C2×C4×C73—21no—
654C2×C4×C73—21no—
655C2×C4×C73—21no—
656C2×C4×C73—21no—
657C2×C4×C73—44no—
658C2×C4×C73—82no—
659C2×C4×C73C22×Q812yes—
660C2×C4×C73H(5,𝔽2)12yes—
661C22⋊D73—44no—
662C22⋊D73—44no—
663C2×Dic73—21no—
664C2×Dic73—21no—
665C2×Dic73—21no—
666C2×Dic73—21no—
667C2×Dic73—21no—
668C2×Dic73—21no—
669C2×Dic73—21no—
670C2×Dic73—21no—
671C2×Dic73—21no—
672C2×Dic73—21no—
673C2×Dic73—21no—
674C2×Dic73—21no—
675C2×Dic73—21no—
676C2×Dic73—21no—
677C2×Dic73—21no—
678C2×Dic73—21no—
679C2×Dic73—21no—
680C2×Dic73—21no—
681C2×Dic73—21no—
682C2×Dic73—21no—
683C2×Dic73—21no—
684C2×Dic73—21no—
685C2×Dic73—21no—
686C2×Dic73—21no—
687C2×Dic73—21no—
688C2×Dic73—21no—
689C2×Dic73—21no—
690C2×Dic73—21no—
691C2×Dic73—21no—
692C2×Dic73—21no—
693C2×Dic73—21no—
694C2×Dic73—21no—
695C2×Dic73—21no—
696C2×Dic73—21no—
697C2×Dic73—21no—
698C2×Dic73—21no—
699C2×Dic73—21no—
700C2×Dic73—44no—
701C2×Dic73—82no—
702C2×Dic73C22×Q812yes—
703C2×Dic73H(5,𝔽2)12yes—
704D292—44no—
705C4×D73—28no—
706C4×D73—44no—
707C4×D73—44no—
708C4×D73—44no—
709C4×D73—44no—
710C4×D73—82no—
711C4×D73—82no—
712C4×D73—82no—
713C4×D73—82no—
714Dic146—82no—
715Dic146—82no—
716Dic146—82no—
717Dic146—82no—
718C22×C73—22no—
719C22×C73—22no—
720C22×C73—22no—
721C22×C73—22no—
722C22×C73—22no—
723C22×C73—22no—
724C22×C73—41no—
725C22×C73—41no—
726C22×C73—41no—
727C22×C73—41no—
728C22×C73—41no—
729C22×C73—41no—
730C22×C73—41no—
731C22×C73—41no—
732C22×C73C23×Q811yescharacteristic
733C22×C73C2×H(5,𝔽2)11yescharacteristic
734C22×C73C2×H(5,𝔽2)11yescharacteristic
735C22×C73C2×H(5,𝔽2)11yescharacteristic
736C22×C73C2×H(5,𝔽2)11yescharacteristic
737C22×C73#58511yescharacteristic
738C22×C73#58511yescharacteristic
739C2×D73—22no—
740C2×D73—22no—
741C2×D73—22no—
742C2×D73—22no—
743C2×D73—22no—
744C2×D73—22no—
745C2×D73—22no—
746C2×D73—22no—
747C2×D73—22no—
748C2×D73—22no—
749C2×D73—22no—
750C2×D73—22no—
751C2×D73—416no—
752C2×D73—41no—
753C2×D73—41no—
754C2×D73—41no—
755C2×D73—41no—
756C2×D73—41no—
757C2×D73—41no—
758C2×D73—41no—
759C2×D73—41no—
760C2×D73—88no—
761C2×D73#54314yes—
762C4×C73—22no—
763C4×C73—22no—
764C4×C73—41no—
765C4×C73—41no—
766C4×C73—41no—
767C4×C73—41no—
768C4×C73—41no—
769C4×C73—41no—
770C4×C73—41no—
771C4×C73—41no—
772C4×C73—41no—
773C4×C73—41no—
774C4×C73—41no—
775Dic73—22no—
776Dic73—22no—
777Dic73—41no—
778Dic73—41no—
779Dic73—41no—
780Dic73—41no—
781Dic73—41no—
782Dic73—41no—
783Dic73—41no—
784Dic73—41no—
785Dic73—41no—
786Dic73—41no—
787Dic73—41no—
788#36747—731nomaximal, Sylow
789C2×C73—42no—
790C2×C73—42no—
791C2×C73C2×#54311yescharacteristic
792C2×C73#350111yescharacteristic
793C2×C73#350111yescharacteristic
794C2×C73#353211yescharacteristic
795C2×C73#353311yescharacteristic
796C2×C73#354211yescharacteristic
797C2×C73#354211yescharacteristic
798D73—24no—
799D73—42no—
800D73—42no—
801#2848—731no—
802#2848—731no—
803#2804—731no—
804#2784—731no—
805#2784—731no—
806#2780—731no—
807#2780—731no—
808#2780—731no—
809#2780D7311yescharacteristic, complemented
810#2748—731no—
811#2748—731no—
812#2732—731no—
813#2732—731no—
814#2692—731no—
815#2692—731no—
816#2692—731no—
817#2692—731no—
818#2683—731no—
819#2626—731no—
820#2626—731no—
821#2438—731no—
822#2438—731no—
823#2438—731no—
824#2438—731no—
825#2437—731no—
826#2437—731no—
827#2437—731no—
828#2437—731no—
829#2309—731no—
830#2308—731no—
831C2×#386—731no—
832C73#3674711yescharacteristic, complemented, Sylow
833C23×D4—731no—
834C24×C4—731no—
835C2×C22⋊Q8—731no—
836C2×C22⋊Q8—731no—
837C2×C22⋊Q8—731no—
838C2×C22⋊Q8—731no—
839C2×C22⋊Q8—731no—
840C2×C22⋊Q8—731no—
841C2×C22⋊Q8—731no—
842C2×C22⋊Q8—731no—
843C2×C22⋊Q8—731no—
844C2×C22⋊Q8—731no—
845C2×C22⋊Q8—731no—
846C2×C22⋊Q8—731no—
847C2×#117—731no—
848C2×#117—731no—
849C22×C22⋊C4—731no—
850C22×C22⋊C4—731no—
851C22×C22⋊C4—731no—
852C22×C22⋊C4—731no—
853C22×C22⋊C4—731no—
854#400—731no—
855#400—731no—
856#400—731no—
857#400C2×D7311yescharacteristic, complemented
858#399—731no—
859#399—731no—
860#399—731no—
861#399—731no—
862#399—731no—
863#399—731no—
864#399—731no—
865#399C2×D7311yescharacteristic, complemented
866#398—731no—
867#398—731no—
868#398—731no—
869#398—731no—
870#398—731no—
871#398—731no—
872#398—731no—
873#398C2×D7311yescharacteristic, complemented
874#396—731no—
875#396—731no—
876#396—731no—
877#396—731no—
878#396—731no—
879#396—731no—
880#396—731no—
881#396—731no—
882#396—731no—
883#396—731no—
884#396—731no—
885#396—731no—
886#396—731no—
887#396C2×D7311yescharacteristic, complemented
888#396C2×D7311yescharacteristic, complemented
889#396C2×D7311yescharacteristic, complemented
890#395—731no—
891#395—731no—
892#395—731no—
893#395—731no—
894#393—731no—
895#393—731no—
896#393—731no—
897#393—731no—
898#393—731no—
899#393—731no—
900#393—731no—
901#393—731no—
902#391—731no—
903#391—731no—
904#391—731no—
905#391—731no—
906#390—731no—
907#390—731no—
908#390—731no—
909#390—731no—
910#390—731no—
911#390—731no—
912#390—731no—
913#390C2×D7311yescharacteristic
914#389—731no—
915#389—731no—
916#389—731no—
917#389C2×D7311yescharacteristic, complemented
918#387—731no—
919#387—731no—
920#387—731no—
921#387—731no—
922#387—731no—
923#387—731no—
924#387—731no—
925#387C2×D7311yescharacteristic, complemented
926#386—731no—
927#386—731no—
928#386—731no—
929#386—731no—
930#386—731no—
931#386—731no—
932#386—731no—
933#386—731no—
934#386—731no—
935#386—731no—
936#386—731no—
937#386—731no—
938#386—731no—
939#386—731no—
940#386C2×D7311yescharacteristic
941#386C2×D7311yescharacteristic
942#385—731no—
943#385—731no—
944#385—731no—
945#385—731no—
946#385—731no—
947#385—731no—
948#385—731no—
949#385—731no—
950#385—731no—
951#385—731no—
952#385—731no—
953#385—731no—
954#385—731no—
955#385—731no—
956#385—731no—
957#385—731no—
958#385—731no—
959#385—731no—
960#385—731no—
961#385—731no—
962#385—731no—
963#385C2×D7311yescharacteristic, complemented
964#385C2×D7311yescharacteristic, complemented
965#385C2×D7311yescharacteristic, complemented
966#381—731no—
967#381—731no—
968#380—731no—
969#380—731no—
970#380—731no—
971#380—731no—
972#380—731no—
973#380—731no—
974#380—731no—
975#380—731no—
976#380—731no—
977#380—731no—
978#380—731no—
979#380C2×D7311yescharacteristic, complemented
980#379—731no—
981#379—731no—
982#379—731no—
983#379—731no—
984#379—731no—
985#379—731no—
986C2×#95—731no—
987C2×#95—731no—
988C25—731no—
989C25—731no—
990C22×Q8—731no—
991C22×Q8—731no—
992C22×Q8—731no—
993C22×Q8—731no—
994C22×D4—2922no—
995C22×D4—2922no—
996C22×D4—731no—
997C22×D4—731no—
998C22×D4—738no—
999C22×D4—731no—
1000C22×D4C22×D7311yescharacteristic
1001C23×C4—2922no—
1002C23×C4—2922no—
1003C23×C4—2922no—
1004C23×C4—731no—
1005C23×C4—731no—
1006C23×C4—731no—
1007C23×C4—731no—
1008C23×C4—731no—
1009C23×C4—731no—
1010C23×C4—731no—
1011C23×C4—731no—
1012C23×C4—731no—
1013C23×C4—731no—
1014C23×C4—731no—
1015C23×C4C22×D7311yescharacteristic
1016C23×C4C22×D7311yescharacteristic
1017C22⋊Q8—2922no—
1018C22⋊Q8—2922no—
1019C22⋊Q8—2922no—
1020C22⋊Q8—2922no—
1021C22⋊Q8—2922no—
1022C22⋊Q8—2922no—
1023C22⋊Q8—2922no—
1024C22⋊Q8—2922no—
1025C22⋊Q8—2922no—
1026C22⋊Q8—2922no—
1027C22⋊Q8—2922no—
1028C22⋊Q8—2922no—
1029#117—2922no—
1030#117—2922no—
1031C2×C4⋊C4—731no—
1032C2×C4⋊C4—731no—
1033C2×C4⋊C4—731no—
1034C2×C4⋊C4—731no—
1035C2×C4⋊C4—731no—
1036C2×C4⋊C4—731no—
1037C2×C4⋊C4—731no—
1038C2×C4⋊C4—731no—
1039C2×C4⋊C4—731no—
1040C2×C4⋊C4—731no—
1041C2×C4⋊C4—731no—
1042C2×C4⋊C4—731no—
1043C2×C4⋊C4—731no—
1044C2×C4⋊C4—731no—
1045C2×C4⋊C4—731no—
1046C2×C4⋊C4—731no—
1047C2×C4⋊C4—731no—
1048C2×C4⋊C4—731no—
1049C2×C4⋊C4—731no—
1050C2×C4⋊C4—731no—
1051C2×C4⋊C4—731no—
1052C2×C4⋊C4—731no—
1053C2×C4⋊C4—731no—
1054C2×C4⋊C4—731no—
1055C2×C4⋊C4—731no—
1056C2×C4⋊C4—731no—
1057C2×C4⋊C4—731no—
1058C2×C4⋊C4—731no—
1059C2×C4⋊C4—731no—
1060C2×C4⋊C4C22×D7311yescharacteristic
1061C2×C4⋊C4C22×D7311yescharacteristic
1062C2×C4⋊C4C22×D7311yescharacteristic
1063C2×C4⋊C4C22×D7311yescharacteristic
1064C2×C4⋊C4C22×D7311yescharacteristic
1065C2×C4⋊C4C22×D7311yescharacteristic
1066C2×C4⋊C4C22×D7311yescharacteristic
1067C2×C4⋊C4C22×D7311yescharacteristic
1068C2×C4⋊C4C22×D7311yescharacteristic
1069C2×C4⋊C4C22×D7311yescharacteristic
1070C2×C4⋊C4C22×D7311yescharacteristic
1071C2×C22⋊C4—2922no—
1072C2×C22⋊C4—2922no—
1073C2×C22⋊C4—2922no—
1074C2×C22⋊C4—2922no—
1075C2×C22⋊C4—2922no—
1076C2×C22⋊C4—731no—
1077C2×C22⋊C4—731no—
1078C2×C22⋊C4—731no—
1079C2×C22⋊C4—731no—
1080C2×C22⋊C4—731no—
1081C2×C22⋊C4—731no—
1082C2×C22⋊C4—731no—
1083C2×C22⋊C4—731no—
1084C2×C22⋊C4—731no—
1085C2×C22⋊C4—731no—
1086C2×C22⋊C4—731no—
1087C2×C22⋊C4—731no—
1088C2×C22⋊C4—731no—
1089C2×C22⋊C4—731no—
1090C2×C22⋊C4—731no—
1091C2×C22⋊C4—731no—
1092C2×C22⋊C4—731no—
1093C2×C22⋊C4—731no—
1094C2×C22⋊C4—731no—
1095C2×C22⋊C4—731no—
1096C2×C22⋊C4—731no—
1097C2×C22⋊C4—731no—
1098C2×C22⋊C4—731no—
1099C2×C22⋊C4—731no—
1100C2×C22⋊C4—731no—
1101C2×C22⋊C4—731no—
1102C2×C22⋊C4—731no—
1103C2×C22⋊C4—731no—
1104C2×C22⋊C4—731no—
1105C2×C22⋊C4—731no—
1106C2×C22⋊C4—731no—
1107C2×C22⋊C4—731no—
1108C2×C22⋊C4—731no—
1109C2×C22⋊C4—731no—
1110C2×C22⋊C4—731no—
1111C2×C22⋊C4—731no—
1112C2×C22⋊C4—731no—
1113C2×C22⋊C4—731no—
1114C2×C22⋊C4C22×D7311yescharacteristic
1115C2×C22⋊C4C22×D7311yescharacteristic
1116C2×C22⋊C4C22×D7311yescharacteristic
1117C2×C22⋊C4C22×D7311yescharacteristic
1118C2×C22⋊C4C22×D7311yescharacteristic
1119C2×C22⋊C4C22×D7311yescharacteristic
1120C2×C22⋊C4C22×D7311yescharacteristic
1121C2×C22⋊C4C22×D7311yescharacteristic
1122C2×C22⋊C4C22×D7311yescharacteristic
1123C2×C22⋊C4C22×D7311yescharacteristic
1124C2×C42—731no—
1125C2×C42—731no—
1126C2×C42—731no—
1127C2×C42C22×D7311yescharacteristic
1128#95—731no—
1129#95—731no—
1130#95—731no—
1131#95—731no—
1132#95—731no—
1133#95—731no—
1134#95—731no—
1135#95—731no—
1136#95—731no—
1137#95—731no—
1138#95—731no—
1139#95—731no—
1140#95—731no—
1141#95—731no—
1142#95—731no—
1143#95—731no—
1144#95—731no—
1145#95—731no—
1146#95—731no—
1147#95—731no—
1148#95—731no—
1149#95—731no—
1150#95—731no—
1151#95—731no—
1152#95—731no—
1153#95—731no—
1154#95—731no—
1155#95—731no—
1156#95—731no—
1157#95—731no—
1158#95C22×D7311yescharacteristic
1159#95C22×D7311yescharacteristic
1160#95C22×D7311yescharacteristic
1161#95C22×D7311yescharacteristic
1162#95C22×D7311yescharacteristic
1163#95C22×D7311yescharacteristic
1164#95C22×D7311yescharacteristic
1165#95C22×D7311yescharacteristic
1166#95C22×D7311yescharacteristic
1167#95C22×D7311yescharacteristic
1168C24—2921no—
1169C24—2921no—
1170C24—2921no—
1171C24—2921no—
1172C24—2921no—
1173C24—2921no—
1174C24—2921no—
1175C24—2921no—
1176C24—734no—
1177C24—734no—
1178C24—731no—
1179C24—731no—
1180C24—731no—
1181C24—1462no—
1182C24—1462no—
1183C24—1462no—
1184C24—1462no—
1185C24C23×D7311yescharacteristic
1186C24C23×D7311yescharacteristic
1187C2×Q8—2921no—
1188C2×Q8—2921no—
1189C2×Q8—2921no—
1190C2×Q8—2921no—
1191C2×Q8—2921no—
1192C2×Q8—2921no—
1193C2×Q8—2921no—
1194C2×Q8—2921no—
1195C2×Q8—2921no—
1196C2×Q8—2921no—
1197C2×Q8—1462no—
1198C2×Q8—1462no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—2921no—
1202C2×D4—2921no—
1203C2×D4—29216no—
1204C2×D4—2921no—
1205C2×D4—2921no—
1206C2×D4—2921no—
1207C2×D4—2921no—
1208C2×D4—734no—
1209C2×D4—734no—
1210C2×D4—734no—
1211C2×D4Q8×D7314yes—
1212C22×C4—22no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
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—2921no—
1233C22×C4—2921no—
1234C22×C4—29216no—
1235C22×C4—2921no—
1236C22×C4—2921no—
1237C22×C4—2921no—
1238C22×C4—2921no—
1239C22×C4—2921no—
1240C22×C4—731no—
1241C22×C4—731no—
1242C22×C4—734no—
1243C22×C4—731no—
1244C22×C4—731no—
1245C22×C4—731no—
1246C22×C4—731no—
1247C22×C4—731no—
1248C22×C4—731no—
1249C22×C4—731no—
1250C22×C4—731no—
1251C22×C4—731no—
1252C22×C4—731no—
1253C22×C4—731no—
1254C22×C4—1462no—
1255C22×C4—1462no—
1256C22×C4—1462no—
1257C22×C4—1462no—
1258C22×C4—1462no—
1259C22×C4—1462no—
1260C22×C4—1462no—
1261C22×C4—1462no—
1262C22×C4—1462no—
1263C22×C4—1462no—
1264C22×C4—1462no—
1265C22×C4C23×D7311yescharacteristic
1266C22×C4C23×D7311yescharacteristic
1267C22×C4C23×D7311yescharacteristic
1268C22×C4C23×D7311yescharacteristic
1269C22×C4C23×D7311yescharacteristic
1270C22×C4C23×D7311yescharacteristic
1271C22×C4C23×D7311yescharacteristic
1272C22×C4C23×D7311yescharacteristic
1273C22×C4C23×D7311yescharacteristic
1274C22×C4C23×D7311yescharacteristic
1275C22×C4C23×D7311yescharacteristic
1276C22×C4C23×D7311yescharacteristic
1277C22×C4C23×D7311yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—2921no—
1290C4⋊C4—2921no—
1291C4⋊C4—2921no—
1292C4⋊C4—2921no—
1293C4⋊C4—2921no—
1294C4⋊C4—2921no—
1295C4⋊C4—2921no—
1296C4⋊C4—2921no—
1297C4⋊C4—2921no—
1298C4⋊C4—2921no—
1299C4⋊C4—2921no—
1300C4⋊C4—2921no—
1301C4⋊C4—2921no—
1302C4⋊C4—2921no—
1303C4⋊C4—2921no—
1304C4⋊C4—2921no—
1305C4⋊C4—2921no—
1306C4⋊C4—2921no—
1307C4⋊C4—2921no—
1308C4⋊C4—2921no—
1309C4⋊C4—2921no—
1310C4⋊C4—2921no—
1311C4⋊C4—2921no—
1312C4⋊C4—2921no—
1313C4⋊C4—1462no—
1314C4⋊C4—1462no—
1315C4⋊C4—1462no—
1316C4⋊C4—1462no—
1317C4⋊C4—1462no—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—2921no—
1329C22⋊C4—2921no—
1330C22⋊C4—2921no—
1331C22⋊C4—2921no—
1332C22⋊C4—2921no—
1333C22⋊C4—2921no—
1334C22⋊C4—2921no—
1335C22⋊C4—2921no—
1336C22⋊C4—2921no—
1337C22⋊C4—2921no—
1338C22⋊C4—2921no—
1339C22⋊C4—2921no—
1340C22⋊C4—2921no—
1341C22⋊C4—2921no—
1342C22⋊C4—2921no—
1343C22⋊C4—2921no—
1344C22⋊C4—2921no—
1345C22⋊C4—2921no—
1346C22⋊C4—2921no—
1347C22⋊C4—2921no—
1348C22⋊C4—2921no—
1349C22⋊C4—2921no—
1350C22⋊C4—2921no—
1351C22⋊C4—2921no—
1352C22⋊C4—2921no—
1353C22⋊C4—2921no—
1354C22⋊C4—2921no—
1355C22⋊C4—1462no—
1356C22⋊C4—1462no—
1357C22⋊C4—1462no—
1358C22⋊C4—1462no—
1359C22⋊C4—1462no—
1360C22⋊C4—1462no—
1361C22⋊C4—1462no—
1362C22⋊C4—1462no—
1363C22⋊C4—1462no—
1364C22⋊C4—1462no—
1365C22⋊C4—1462no—
1366C42—41no—
1367C42—2921no—
1368C42—2921no—
1369C42—2921no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—2924no—
1383C23—2924no—
1384C23—2924no—
1385C23—2924no—
1386C23—2924no—
1387C23—2924no—
1388C23—2924no—
1389C23—2924no—
1390C23—5842no—
1391C23—5842no—
1392C23—5842no—
1393C23—5842no—
1394C23—732no—
1395C23—732no—
1396C23—732no—
1397C23—732no—
1398C23—732no—
1399C23—1468no—
1400C23—1468no—
1401C23—1461no—
1402C23—1461no—
1403C23—1461no—
1404C23—1461no—
1405C23—1461no—
1406C23—1461no—
1407C23—1461no—
1408C23—1461no—
1409C23—1461no—
1410C23—1461no—
1411C23—1461no—
1412C23—1461no—
1413C23—1461no—
1414C23—1461no—
1415C23—1461no—
1416C23—1461no—
1417C23C2×Q8×D7312yes—
1418C23C2×Q8×D7312yes—
1419C23C24×D7311yescharacteristic
1420Q8—5842no—
1421Q8—5842no—
1422Q8—5842no—
1423Q8—5842no—
1424D4—44no—
1425D4—2924no—
1426D4—2924no—
1427D4—2924no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—44no—
1466C2×C4—82no—
1467C2×C4—2924no—
1468C2×C4—2924no—
1469C2×C4—2924no—
1470C2×C4—2924no—
1471C2×C4—2924no—
1472C2×C4—5842no—
1473C2×C4—5842no—
1474C2×C4—5842no—
1475C2×C4—5842no—
1476C2×C4—5842no—
1477C2×C4—732no—
1478C2×C4—732no—
1479C2×C4—1468no—
1480C2×C4—1461no—
1481C2×C4—1461no—
1482C2×C4—1461no—
1483C2×C4—1461no—
1484C2×C4—1461no—
1485C2×C4—1461no—
1486C2×C4—1461no—
1487C2×C4—1461no—
1488C2×C4—1461no—
1489C2×C4—1461no—
1490C2×C4—1461no—
1491C2×C4—1461no—
1492C2×C4—1461no—
1493C2×C4—1461no—
1494C2×C4—1461no—
1495C2×C4—1461no—
1496C2×C4—1461no—
1497C2×C4—1461no—
1498C2×C4—1461no—
1499C2×C4—1461no—
1500C2×C4—1461no—
1501C2×C4—1461no—
1502C2×C4—1461no—
1503C2×C4—1461no—
1504C2×C4—1461no—
1505C2×C4—1461no—
1506C2×C4—1461no—
1507C2×C4—1461no—
1508C2×C4—1461no—
1509C2×C4—1461no—
1510C2×C4—1461no—
1511C2×C4—1461no—
1512C2×C4—1461no—
1513C2×C4—1461no—
1514C2×C4—1461no—
1515C2×C4—1461no—
1516C2×C4—1461no—
1517C2×C4C2×Q8×D7312yes—
1518C2×C4#1455663712yes—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—29216no—
1534C22—2921no—
1535C22—2921no—
1536C22—2921no—
1537C22—2921no—
1538C22—2921no—
1539C22—2921no—
1540C22—2921no—
1541C22—2921no—
1542C22—5848no—
1543C22—734no—
1544C22—1462no—
1545C22—1462no—
1546C22—1462no—
1547C22—1462no—
1548C22—1462no—
1549C22—1462no—
1550C22—1462no—
1551C22—1462no—
1552C22—1462no—
1553C22—1462no—
1554C22—1462no—
1555C22—1462no—
1556C22C22×Q8×D7311yescharacteristic
1557C22H(5,𝔽2)×D7311yescharacteristic
1558C22H(5,𝔽2)×D7311yescharacteristic
1559C22H(5,𝔽2)×D7311yescharacteristic
1560C22C2×#1455663711yescharacteristic
1561C22#1798942211yescharacteristic
1562C22#1798942311yescharacteristic
1563C4—22no—
1564C4—22no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—2921no—
1577C4—2921no—
1578C4—2921no—
1579C4—2921no—
1580C4—2921no—
1581C4—2921no—
1582C4—2921no—
1583C4—2921no—
1584C4—2921no—
1585C4—2921no—
1586C4—2921no—
1587C4—1462no—
1588C4—1462no—
1589C2—42no—
1590C2—42no—
1591C2—2922no—
1592C2—2922no—
1593C2—1464no—
1594C2#543×D7311yescharacteristic
1595C2#2262372811yescharacteristic
1596C2#2262373011yescharacteristic
1597C2#2262408211yescharacteristic
1598C2#2262409111yescharacteristic
1599C2#2262423611yescharacteristic
1600C2#2262425011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2780C2
prime radicalC22×D4×D73C22
hypercenter#2780D73
hypocenterC73#36747
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2780

Complements

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

NH ≅ G/Ntype
1. #22618219C2semidirect
2. #22618217C2semidirect
3. #22617876C2semidirect
4. #22617633C2semidirect
5. #22617628C2semidirect
6. #22617580C2semidirect
7. #22617579C2semidirect
8. #22617572C2semidirect
9. #22617143C2semidirect
10. #22617139C2semidirect
11. #22616953C2semidirect
12. #22616950C2semidirect
13. #22616433C2semidirect
14. #22616431C2semidirect
15. #22616430C2semidirect
16. #22616428C2semidirect
17. #22616302C2semidirect
18. #22615741C2semidirect
19. #22615737C2semidirect
20. #22613614C2semidirect
21. #22613612C2semidirect
22. #22613610C2semidirect
23. #22613608C2semidirect
24. #22613596C2semidirect
25. #22613595C2semidirect
26. #22613593C2semidirect
27. #22613593C2semidirect
31. C73×#2780C2semidirect
36. C2×#14556571C22semidirect
37. C2×#14556571C22semidirect
38. C2×#14556570C22semidirect
39. C2×#14556570C22semidirect
42. C2×#14556569C22semidirect
43. C2×#14556569C22semidirect
44. C2×#14556568C22semidirect
45. C2×#14556568C22semidirect
53. #17988527C22semidirect
54. #17988526C22semidirect
55. #17988525C22semidirect
56. #17988524C22semidirect
57. #17988523C22semidirect
58. #17988523C22semidirect
59. #17988523C22semidirect
60. #17988522C22semidirect
61. #17988522C22semidirect
62. #17988522C22semidirect
63. #17988521C22semidirect
64. #17988521C22semidirect
65. #17988520C22semidirect
66. #17988520C22semidirect
67. #17988519C22semidirect
68. #17988518C22semidirect
69. #17988517C22semidirect
70. #17988511C22semidirect
71. #17988510C22semidirect
72. #17988510C22semidirect
73. #17988510C22semidirect
74. #17988510C22semidirect
75. #17988510C22semidirect
76. #17988509C22semidirect
77. #17988509C22semidirect
78. #17988509C22semidirect
79. #17988509C22semidirect
80. #17988509C22semidirect
81. #17988509C22semidirect
82. #17988509C22semidirect
83. #17988508C22semidirect
84. #17988508C22semidirect
85. #17988507C22semidirect
86. #17988507C22semidirect
87. #17988500C22semidirect
88. #17988500C22semidirect
89. #17988500C22semidirect
90. #17988500C22semidirect
91. #17988499C22semidirect
92. #17988499C22semidirect
93. #17988499C22semidirect
94. #17988499C22semidirect
95. #17988491C22semidirect
96. #17988491C22semidirect
97. #17988491C22semidirect
98. #17988491C22semidirect
106. #17988486C22semidirect
107. #17988485C22semidirect
108. #17988483C22semidirect
109. #17988474C22semidirect
110. #17988473C22semidirect
111. #17988472C22semidirect
112. #17988471C22semidirect
113. #17988470C22semidirect
114. #17988469C22semidirect
115. #17988468C22semidirect
130. #17988462C22semidirect
131. #17988462C22semidirect
132. #17988462C22semidirect
137. #17988461C22semidirect
138. #17988461C22semidirect
139. #17988461C22semidirect
140. #17988461C22semidirect
141. #17988460C22semidirect
142. #17988459C22semidirect
147. #17988458C22semidirect
148. #17988458C22semidirect
149. #17988458C22semidirect
150. #17988458C22semidirect
153. #17988447C22semidirect
156. #17988446C22semidirect
157. #17988446C22semidirect
158. #17988445C22semidirect
159. #17988445C22semidirect
162. #17988444C22semidirect
163. #17988444C22semidirect
172. #400×C73C22semidirect
173. #399×C73C22semidirect
174. #398×C73C22semidirect
175. #396×C73C22semidirect
176. #396×C73C22semidirect
177. #396×C73C22semidirect
179. #389×C73C22semidirect
180. #387×C73C22semidirect
183. #385×C73C22semidirect
184. #385×C73C22semidirect
185. #385×C73C22semidirect
186. #380×C73C22semidirect
198. C2×D4×D73Q8semidirect
809. #2780D73semidirect
832. C73#36747semidirect
857. #400C2×D73semidirect
865. #399C2×D73semidirect
873. #398C2×D73semidirect
887. #396C2×D73semidirect
888. #396C2×D73semidirect
889. #396C2×D73semidirect
917. #389C2×D73semidirect
925. #387C2×D73semidirect
963. #385C2×D73semidirect
964. #385C2×D73semidirect
965. #385C2×D73semidirect
979. #380C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226182192
#226182172
#226178762
#226176332
#226176282
#226175802
#226175792
#226175722
#226171432
#226171392
#226169532
#226169502
#226164332
#226164312
#226164302
#226164282
#226163022
#226157412
#226157372
#226136142
#226136122
#226136102
#226136082
#226135962
#226135952
#226135932
#226125102
#226125052
#386×D732
C73×#27802
#3674773