Finite Group Databasebeta

← #33249530

Subgroups — #33249530

Order 18688.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22613123C211yesmaximal, characteristic, complemented
2#22613105C211yesmaximal, characteristic, complemented
3#22613088C211yesmaximal, characteristic, complemented
4#22613079C211yesmaximal, characteristic, complemented
5#22613055C211yesmaximal, characteristic, complemented
6#22613016C211yesmaximal, characteristic, complemented
7#22613006C211yesmaximal, characteristic, complemented
8#22612983C211yesmaximal, characteristic, complemented
9#22612951C211yesmaximal, characteristic, complemented
10#22612951C211yesmaximal, characteristic, complemented
11#22612940C211yesmaximal, characteristic, complemented
12#22612927C211yesmaximal, characteristic, complemented
13#22612871C211yesmaximal, characteristic, complemented
14#22612860C211yesmaximal, characteristic, complemented
15#22612841C211yesmaximal, characteristic, complemented
16D4×C4⋊Dic73C211yesmaximal, characteristic, complemented
17#22612746C211yesmaximal, characteristic, complemented
18#22612725C211yesmaximal, characteristic, complemented
19#22612710C211yesmaximal, characteristic, complemented
20#22612710C211yesmaximal, characteristic, complemented
21#22612644C211yesmaximal, characteristic, complemented
22#22612636C211yesmaximal, characteristic, complemented
23#22612626C211yesmaximal, characteristic, complemented
24#22612603C211yesmaximal, characteristic, complemented
25#22612592C211yesmaximal, characteristic, complemented
26#22612592C211yesmaximal, characteristic, complemented
27#22612529C211yesmaximal, characteristic, complemented
28#120×Dic73C211yesmaximal, characteristic, complemented
29#120×Dic73C211yesmaximal, characteristic, complemented
30C2×#17988462C211yesmaximal, characteristic, complemented
31C2×#538×C73C211yesmaximal, characteristic
32C24×Dic73C2211yescharacteristic
33C2×Q8×Dic73C2211yescharacteristic, complemented
34C2×D4×Dic73C2211yescharacteristic
35C2×D4×Dic73C2211yescharacteristic
36C2×D4×Dic73C2211yescharacteristic
37C2×D4×Dic73C2211yescharacteristic
38C2×D4×Dic73C2211yescharacteristic
39C2×D4×Dic73C2211yescharacteristic
40C2×D4×Dic73C2211yescharacteristic
41C2×D4×Dic73C2211yescharacteristic
42C2×D4×Dic73C2211yescharacteristic, complemented
43C2×#14556550C2211yescharacteristic, complemented
44C22×C4⋊Dic73C2211yescharacteristic
45C22×C4⋊Dic73C2211yescharacteristic
46C22×C4⋊Dic73C2211yescharacteristic, complemented
47C22×C22⋊Dic73C2211yescharacteristic
48#17988494C2211yescharacteristic, complemented
49#17988494C2211yescharacteristic, complemented
50#17988494C2211yescharacteristic, complemented
51#17988490C2211yescharacteristic
52#17988490C2211yescharacteristic
53#17988490C2211yescharacteristic
54#17988490C2211yescharacteristic
55#17988490C2211yescharacteristic, complemented
56#17988486C2211yescharacteristic, complemented
57#17988486C2211yescharacteristic, complemented
58#17988486C2211yescharacteristic, complemented
59#17988486C2211yescharacteristic, complemented
60#17988486C2211yescharacteristic, complemented
61#17988486C2211yescharacteristic, complemented
62#17988486C2211yescharacteristic, complemented
63#17988486C2211yescharacteristic, complemented
64#17988480C2211yescharacteristic
65#17988480C2211yescharacteristic
66#17988480C2211yescharacteristic
67#17988480C2211yescharacteristic
68#17988480C2211yescharacteristic
69#17988480C2211yescharacteristic
70#17988480C2211yescharacteristic
71#17988480C2211yescharacteristic
72#17988480C2211yescharacteristic
73#17988480C2211yescharacteristic
74#17988480C2211yescharacteristic
75#17988480C2211yescharacteristic
76#17988480C2211yescharacteristic
77#17988480C2211yescharacteristic
78#17988480C2211yescharacteristic
79#17988480C2211yescharacteristic
80#17988480C2211yescharacteristic, complemented
81#17988480C2211yescharacteristic, complemented
82#17988480C2211yescharacteristic, complemented
83#17988480C2211yescharacteristic, complemented
84#17988480C2211yescharacteristic, complemented
85#17988480C2211yescharacteristic, complemented
86#17988480C2211yescharacteristic, complemented
87#17988480C2211yescharacteristic, complemented
88#17988473C2211yescharacteristic, complemented
89#17988473C2211yescharacteristic, complemented
90#17988473C2211yescharacteristic, complemented
91#17988473C2211yescharacteristic, complemented
92#17988473C2211yescharacteristic, complemented
93#17988473C2211yescharacteristic, complemented
94#17988473C2211yescharacteristic, complemented
95#17988473C2211yescharacteristic, complemented
96#17988473C2211yescharacteristic, complemented
97#17988473C2211yescharacteristic, complemented
98#17988473C2211yescharacteristic, complemented
99#17988473C2211yescharacteristic, complemented
100#17988467C2211yescharacteristic
101#17988467C2211yescharacteristic
102#17988467C2211yescharacteristic
103#17988467C2211yescharacteristic
104#17988467C2211yescharacteristic
105#17988467C2211yescharacteristic
106#17988467C2211yescharacteristic
107#17988467C2211yescharacteristic
108#17988467C2211yescharacteristic
109#17988467C2211yescharacteristic
110#17988467C2211yescharacteristic
111#17988467C2211yescharacteristic
112#17988467C2211yescharacteristic, complemented
113#17988467C2211yescharacteristic, complemented
114#17988462C2211yescharacteristic
115#17988462C2211yescharacteristic
116#17988462C2211yescharacteristic
117#17988462C2211yescharacteristic
118#17988462C2211yescharacteristic
119#17988462C2211yescharacteristic
120#17988462C2211yescharacteristic
121#17988462C2211yescharacteristic
122#17988462C2211yescharacteristic
123#17988462C2211yescharacteristic
124#17988462C2211yescharacteristic
125#17988462C2211yescharacteristic
126#17988462C2211yescharacteristic
127#17988462C2211yescharacteristic
128#17988462C2211yescharacteristic
129#17988462C2211yescharacteristic
130#17988462C2211yescharacteristic, complemented
131#17988462C2211yescharacteristic, complemented
132#17988462C2211yescharacteristic, complemented
133#17988462C2211yescharacteristic, complemented
134#17988462C2211yescharacteristic, complemented
135#17988462C2211yescharacteristic, complemented
136#17988457C2211yescharacteristic, complemented
137#17988455C2211yescharacteristic, complemented
138#17988453C2211yescharacteristic, complemented
139#17988453C2211yescharacteristic, complemented
140#17988450C2211yescharacteristic, complemented
141#17988447C2211yescharacteristic
142#17988447C2211yescharacteristic
143#17988447C2211yescharacteristic, complemented
144#17988447C2211yescharacteristic, complemented
145#17988447C2211yescharacteristic, complemented
146#17988443C2211yescharacteristic
147#17988443C2211yescharacteristic
148C4⋊C4×Dic73C2211yescharacteristic, complemented
149C4⋊C4×Dic73C2211yescharacteristic, complemented
150C4⋊C4×Dic73C2211yescharacteristic, complemented
151C4⋊C4×Dic73C2211yescharacteristic, complemented
152C4×C4⋊Dic73C2211yescharacteristic, complemented
153C4×C4⋊Dic73C2211yescharacteristic, complemented
154C4×C4⋊Dic73C2211yescharacteristic, complemented
155C22⋊C4×Dic73C2211yescharacteristic
156C22⋊C4×Dic73C2211yescharacteristic
157C22⋊C4×Dic73C2211yescharacteristic
158C22⋊C4×Dic73C2211yescharacteristic
159C22⋊C4×Dic73C2211yescharacteristic
160C22⋊C4×Dic73C2211yescharacteristic
161C22⋊C4×Dic73C2211yescharacteristic
162C22⋊C4×Dic73C2211yescharacteristic
163C22⋊C4×Dic73C2211yescharacteristic, complemented
164C22⋊C4×Dic73C2211yescharacteristic, complemented
165C4×C22⋊Dic73C2211yescharacteristic
166C4×C22⋊Dic73C2211yescharacteristic
167C4×C22⋊Dic73C2211yescharacteristic, complemented
168#17988433C2211yescharacteristic, complemented
169C2×#14556498C2211yescharacteristic
170C2×#14556498C2211yescharacteristic
171C2×#14556498C2211yescharacteristic, complemented
172#538×C73C4116yescomplemented
173C2×#126×C73C2211yescharacteristic
174C2×#126×C73C2211yescharacteristic
175C2×#124×C73C2211yescharacteristic
176C2×#124×C73C2211yescharacteristic
177C2×#123×C73C2211yescharacteristic
178C2×#123×C73C2211yescharacteristic
179C2×C22⋊Q8×C73C2211yescharacteristic
180C2×#121×C73C2211yescharacteristic
181C2×#121×C73C2211yescharacteristic
182C2×#121×C73C2211yescharacteristic
183C2×#120×C73C2211yescharacteristic
184C2×#120×C73C2211yescharacteristic
185C2×C4×D4×C73C2211yescharacteristic
186C2×C4×D4×C73C2211yescharacteristic
187C22×C22⋊C4×C73C2211yescharacteristic
188C23×Dic73—42no—
189C23×Dic73—42no—
190C23×Dic73—42no—
191C23×Dic73C2311yescharacteristic
192C23×Dic73C2311yescharacteristic
193C23×Dic73C2311yescharacteristic
194C23×Dic73C2311yescharacteristic
195C23×Dic73C2311yescharacteristic
196C23×Dic73C2311yescharacteristic
197C23×Dic73C2311yescharacteristic
198C23×Dic73C2311yescharacteristic
199C23×Dic73C2311yescharacteristic
200C23×Dic73C2311yescharacteristic
201C23×Dic73C2311yescharacteristic
202C23×Dic73C2311yescharacteristic
203Q8×Dic73—42no—
204D4×Dic73—42no—
205D4×Dic73—42no—
206D4×Dic73—42no—
207D4×Dic73—42no—
208D4×Dic73—42no—
209D4×Dic73—42no—
210D4×Dic73—42no—
211D4×Dic73—42no—
212D4×Dic73—42no—
213#14556550—42no—
214C2×C4⋊Dic73—42no—
215C2×C4⋊Dic73—42no—
216C2×C4⋊Dic73—42no—
217C2×C4⋊Dic73C2311yescharacteristic
218C2×C4⋊Dic73C2311yescharacteristic
219C2×C4⋊Dic73C2311yescharacteristic
220C2×C4⋊Dic73C2311yescharacteristic
221C2×C4⋊Dic73C2311yescharacteristic
222C2×C4⋊Dic73C2311yescharacteristic
223C2×C4⋊Dic73C2311yescharacteristic
224C2×C4⋊Dic73C2311yescharacteristic
225C2×C4⋊Dic73C2311yescharacteristic
226C2×C4⋊Dic73C2311yescharacteristic
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×C4⋊Dic73C2311yescharacteristic
239C2×C4⋊Dic73C2311yescharacteristic
240C2×C4⋊Dic73C2311yescharacteristic
241C2×C22⋊Dic73—42no—
242C2×C22⋊Dic73C2311yescharacteristic
243C2×C22⋊Dic73C2311yescharacteristic
244C2×C22⋊Dic73C2311yescharacteristic
245C2×C22⋊Dic73C2311yescharacteristic
246C2×C22⋊Dic73C2311yescharacteristic
247C2×C22⋊Dic73C2311yescharacteristic
248C2×C22⋊Dic73C2311yescharacteristic
249C2×C22⋊Dic73C2311yescharacteristic
250C2×C22⋊Dic73C2311yescharacteristic
251C2×C22⋊Dic73C2311yescharacteristic
252C2×C22⋊Dic73C2311yescharacteristic
253C2×C22⋊Dic73C2311yescharacteristic
254C2×C22⋊Dic73C2311yescharacteristic
255C2×C22⋊Dic73C2311yescharacteristic
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×C22⋊Dic73C2311yescharacteristic
267C2×C22⋊Dic73C2311yescharacteristic
268C2×C22⋊Dic73C2311yescharacteristic
269C2×C22⋊Dic73C2311yescharacteristic
270C2×C4×Dic73C2311yescharacteristic
271C2×C4×Dic73C2311yescharacteristic
272C2×C4×Dic73C2311yescharacteristic
273C2×C4×Dic73C2311yescharacteristic
274C2×C4×Dic73C2311yescharacteristic
275C2×C4×Dic73C2311yescharacteristic
276C2×C4×Dic73C2311yescharacteristic
277C2×C4×Dic73C2311yescharacteristic
278C2×C4×Dic73C2311yescharacteristic
279C2×C4×Dic73C2311yescharacteristic
280C2×C4×Dic73C2311yescharacteristic
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
322#14556498C2311yescharacteristic
323#14556498C2311yescharacteristic
324#14556498C2311yescharacteristic
325#14556498C2311yescharacteristic
326C25×C73C2311yescharacteristic
327C22×Q8×C73C2311yescharacteristic
328C22×D4×C73C2311yescharacteristic
329C22×D4×C73C2311yescharacteristic
330C22×D4×C73C2311yescharacteristic
331C22×D4×C73C2311yescharacteristic
332C22×D4×C73C2311yescharacteristic
333C22×D4×C73C2311yescharacteristic
334C22×D4×C73C2311yescharacteristic
335C23×C4×C73C2311yescharacteristic
336C23×C4×C73C2311yescharacteristic
337C23×C4×C73C2311yescharacteristic
338C23×C4×C73C2311yescharacteristic
339#126×C73C2×C418yescomplemented
340#126×C73C2×C418yescomplemented
341#124×C73C2×C418yescomplemented
342#124×C73C2×C418yescomplemented
343#123×C73C2×C418yescomplemented
344#123×C73C2×C418yescomplemented
345C22⋊Q8×C73C2×C418yescomplemented
346#121×C73C2×C418yescomplemented
347#121×C73C2×C418yescomplemented
348#121×C73C2×C418yescomplemented
349#120×C73C2×C418yescomplemented
350#120×C73C2×C418yescomplemented
351C4×D4×C73C2×C418yescomplemented
352C4×D4×C73C2×C418yescomplemented
353C2×C4⋊C4×C73C2311yescharacteristic
354C2×C4⋊C4×C73C2311yescharacteristic
355C2×C4⋊C4×C73C2311yescharacteristic
356C2×C4⋊C4×C73C2311yescharacteristic
357C2×C4⋊C4×C73C2311yescharacteristic
358C2×C4⋊C4×C73C2311yescharacteristic
359C2×C22⋊C4×C73C2×C418yescomplemented
360C2×C22⋊C4×C73C2311yescharacteristic
361C2×C22⋊C4×C73C2311yescharacteristic
362C2×C22⋊C4×C73C2311yescharacteristic
363C2×C22⋊C4×C73C2311yescharacteristic
364C2×C22⋊C4×C73C2311yescharacteristic
365C2×C22⋊C4×C73C2311yescharacteristic
366C2×C22⋊C4×C73C2311yescharacteristic
367C2×C22⋊C4×C73C2311yescharacteristic
368C2×C22⋊C4×C73C2311yescharacteristic
369C2×C22⋊C4×C73C2311yescharacteristic
370C2×C22⋊C4×C73C2311yescharacteristic
371C2×C22⋊C4×C73C2311yescharacteristic
372C2×C22⋊C4×C73C2311yescharacteristic
373C2×C22⋊C4×C73C2311yescharacteristic
374C2×C42×C73C2311yescharacteristic
375C2×C42×C73C2311yescharacteristic
376C22×Dic73—22no—
377C22×Dic73—22no—
378C22×Dic73—22no—
379C22×Dic73—22no—
380C22×Dic73—22no—
381C22×Dic73—22no—
382C22×Dic73—22no—
383C22×Dic73—22no—
384C22×Dic73—22no—
385C22×Dic73—22no—
386C22×Dic73—22no—
387C22×Dic73—22no—
388C22×Dic73—41no—
389C22×Dic73—41no—
390C22×Dic73—41no—
391C22×Dic73—41no—
392C22×Dic73—41no—
393C22×Dic73—41no—
394C22×Dic73—41no—
395C22×Dic73—41no—
396C22×Dic73—41no—
397C22×Dic73—41no—
398C22×Dic73—41no—
399C22×Dic73—41no—
400C22×Dic73—41no—
401C22×Dic73—41no—
402C22×Dic73—41no—
403C22×Dic73—41no—
404C22×Dic73—41no—
405C22×Dic73—41no—
406C22×Dic73—41no—
407C22×Dic73—41no—
408C22×Dic73—41no—
409C22×Dic73—41no—
410C22×Dic73—41no—
411C22×Dic73—41no—
412C22×Dic73—416no—
413C22×Dic73C2411yescharacteristic
414C22×Dic73C2411yescharacteristic
415C22×Dic73C2411yescharacteristic
416C22×Dic73C2411yescharacteristic
417C22×Dic73C2411yescharacteristic
418C22×Dic73C2411yescharacteristic
419C22×Dic73C2411yescharacteristic
420C22×Dic73C2411yescharacteristic
421C22×Dic73C2411yescharacteristic
422C22×Dic73C2411yescharacteristic
423C22×Dic73C2411yescharacteristic
424C22×Dic73C2411yescharacteristic
425C22×Dic73C2411yescharacteristic
426C22×Dic73C2411yescharacteristic
427C22×Dic73C2411yescharacteristic
428C22×Dic73C2411yescharacteristic
429C4⋊Dic73—22no—
430C4⋊Dic73—22no—
431C4⋊Dic73—22no—
432C4⋊Dic73—22no—
433C4⋊Dic73—22no—
434C4⋊Dic73—22no—
435C4⋊Dic73—41no—
436C4⋊Dic73—41no—
437C4⋊Dic73—41no—
438C4⋊Dic73—41no—
439C4⋊Dic73—41no—
440C4⋊Dic73—41no—
441C4⋊Dic73—41no—
442C4⋊Dic73—41no—
443C4⋊Dic73—41no—
444C4⋊Dic73—41no—
445C4⋊Dic73—41no—
446C4⋊Dic73—41no—
447C4⋊Dic73—41no—
448C4⋊Dic73—41no—
449C4⋊Dic73—41no—
450C4⋊Dic73—41no—
451C4⋊Dic73—41no—
452C4⋊Dic73—41no—
453C22⋊Dic73—22no—
454C22⋊Dic73—22no—
455C22⋊Dic73—22no—
456C22⋊Dic73—22no—
457C22⋊Dic73—22no—
458C22⋊Dic73—22no—
459C22⋊Dic73—41no—
460C22⋊Dic73—41no—
461C22⋊Dic73—41no—
462C22⋊Dic73—41no—
463C22⋊Dic73—41no—
464C22⋊Dic73—41no—
465C22⋊Dic73—41no—
466C22⋊Dic73—41no—
467C22⋊Dic73—41no—
468C22⋊Dic73—41no—
469C22⋊Dic73—41no—
470C22⋊Dic73—41no—
471C22⋊Dic73—41no—
472C22⋊Dic73—41no—
473C22⋊Dic73—41no—
474C22⋊Dic73—41no—
475C22⋊Dic73—41no—
476C22⋊Dic73—41no—
477C22⋊Dic73—41no—
478C22⋊Dic73—41no—
479C22⋊Dic73—41no—
480C22⋊Dic73—41no—
481C4×Dic73—22no—
482C4×Dic73—22no—
483C4×Dic73—41no—
484C4×Dic73—41no—
485C4×Dic73—41no—
486C4×Dic73—41no—
487C4×Dic73—41no—
488C4×Dic73—41no—
489C4×Dic73—41no—
490C4×Dic73—41no—
491C4×Dic73—41no—
492C4×Dic73—41no—
493C4×Dic73—41no—
494C4×Dic73—41no—
495C4×Dic73—41no—
496C4×Dic73—41no—
497C24×C73—22no—
498C24×C73—22no—
499C24×C73—41no—
500C24×C73—41no—
501C24×C73—41no—
502C24×C73—41no—
503C24×C73C22×C414yes—
504C24×C73C2411yescharacteristic
505C24×C73C2411yescharacteristic
506C24×C73C2411yescharacteristic
507C24×C73C2411yescharacteristic
508C24×C73C2411yescharacteristic
509C2×Q8×C73—41no—
510C2×Q8×C73—41no—
511C2×Q8×C73C22×C414yescomplemented
512C2×D4×C73—22no—
513C2×D4×C73—22no—
514C2×D4×C73—22no—
515C2×D4×C73—22no—
516C2×D4×C73—41no—
517C2×D4×C73—41no—
518C2×D4×C73—41no—
519C2×D4×C73—41no—
520C2×D4×C73—41no—
521C2×D4×C73—41no—
522C2×D4×C73—41no—
523C2×D4×C73—41no—
524C2×D4×C73—41no—
525C2×D4×C73—41no—
526C2×D4×C73C22×C414yes—
527C2×D4×C73C22×C414yes—
528C2×D4×C73C22×C414yes—
529C2×D4×C73C22×C414yes—
530C2×D4×C73C22×C414yes—
531C2×D4×C73C22×C414yes—
532C2×D4×C73C22×C414yescomplemented
533C22×C4×C73—41no—
534C22×C4×C73—41no—
535C22×C4×C73—41no—
536C22×C4×C73—41no—
537C22×C4×C73—41no—
538C22×C4×C73—41no—
539C22×C4×C73—41no—
540C22×C4×C73—41no—
541C22×C4×C73C22×C414yes—
542C22×C4×C73C22×C414yes—
543C22×C4×C73C22×C414yescomplemented
544C22×C4×C73C22×C414yescomplemented
545C22×C4×C73C2411yescharacteristic
546C22×C4×C73C2411yescharacteristic
547C22×C4×C73C2411yescharacteristic
548C22×C4×C73C2411yescharacteristic
549C22×C4×C73C2411yescharacteristic
550C22×C4×C73C2411yescharacteristic
551C22×C4×C73C2411yescharacteristic
552C22×C4×C73C2411yescharacteristic
553C22×C4×C73C2411yescharacteristic
554C22×C4×C73C2411yescharacteristic
555C4⋊C4×C73C22×C414yescomplemented
556C4⋊C4×C73C22×C414yescomplemented
557C4⋊C4×C73C22×C414yescomplemented
558C4⋊C4×C73C22×C414yescomplemented
559C4⋊C4×C73C22×C414yescomplemented
560C4⋊C4×C73C22×C414yescomplemented
561C22⋊C4×C73C22×C414yes—
562C22⋊C4×C73C22×C414yes—
563C22⋊C4×C73C22×C414yes—
564C22⋊C4×C73C22×C414yes—
565C22⋊C4×C73C22×C414yes—
566C22⋊C4×C73C22×C414yes—
567C22⋊C4×C73C22×C414yes—
568C22⋊C4×C73C22×C414yes—
569C22⋊C4×C73C22×C414yes—
570C22⋊C4×C73C22×C414yes—
571C22⋊C4×C73C22×C414yescomplemented
572C22⋊C4×C73C22×C414yescomplemented
573C22⋊C4×C73C22×C414yescomplemented
574C22⋊C4×C73C22×C414yescomplemented
575C42×C73C22×C414yescomplemented
576C42×C73C22×C414yescomplemented
577C23×C73—21no—
578C23×C73—21no—
579C23×C73—21no—
580C23×C73—21no—
581C23×C73—28no—
582C23×C73—21no—
583C23×C73—21no—
584C23×C73—21no—
585C23×C73—21no—
586C23×C73—21no—
587C23×C73—21no—
588C23×C73—21no—
589C23×C73—21no—
590C23×C73—21no—
591C23×C73—21no—
592C23×C73—21no—
593C23×C73—21no—
594C23×C73—21no—
595C23×C73—21no—
596C23×C73—21no—
597C23×C73—21no—
598C23×C73—21no—
599C23×C73—21no—
600C23×C73—21no—
601C23×C73—21no—
602C23×C73—21no—
603C23×C73—21no—
604C23×C73—21no—
605C23×C73—21no—
606C23×C73—44no—
607C23×C73—44no—
608C23×C73—44no—
609C23×C73—44no—
610C23×C73—44no—
611C23×C73—44no—
612C23×C73C23×C412yes—
613C23×C73C23×C412yes—
614C23×C73C23×C412yes—
615C23×C73C23×C412yes—
616C23×C73C23×C412yes—
617C23×C73H(5,𝔽2)12yes—
618C23×C732−1+412yes—
619C23×C73C2511yescharacteristic
620Q8×C73—44no—
621D4×C73—28no—
622D4×C73—28no—
623D4×C73—44no—
624D4×C73—44no—
625D4×C73—44no—
626D4×C73—44no—
627D4×C73—44no—
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—44no—
649C2×C4×C73—44no—
650C2×C4×C73—44no—
651C2×C4×C73—44no—
652C2×C4×C73C23×C412yes—
653C2×C4×C73C23×C412yes—
654C2×C4×C73C23×C412yes—
655C2×C4×C73C23×C412yes—
656C2×C4×C73C23×C412yes—
657C2×C4×C73C23×C412yes—
658C2×C4×C73C23×C412yes—
659C2×C4×C73C23×C412yes—
660C2×C4×C73C23×C412yes—
661C2×C4×C73C23×C412yes—
662C2×Dic73—21no—
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—21no—
701C2×Dic73—21no—
702C2×Dic73—21no—
703C2×Dic73—21no—
704C2×Dic73—21no—
705C2×Dic73—21no—
706C2×Dic73—21no—
707C2×Dic73—21no—
708C2×Dic73—44no—
709C2×Dic73—44no—
710C2×Dic73—44no—
711C2×Dic73—44no—
712C2×Dic73—44no—
713C2×Dic73—44no—
714C2×Dic73—82no—
715C2×Dic73—82no—
716C2×Dic73—82no—
717C2×Dic73—82no—
718C2×Dic73—82no—
719C2×Dic73—82no—
720C2×Dic73H(5,𝔽2)12yes—
721C2×Dic73H(5,𝔽2)12yes—
722C22×C73—22no—
723C22×C73—22no—
724C22×C73—22no—
725C22×C73—22no—
726C22×C73—22no—
727C22×C73—22no—
728C22×C73—22no—
729C22×C73—22no—
730C22×C73—22no—
731C22×C73—22no—
732C22×C73—22no—
733C22×C73—22no—
734C22×C73—22no—
735C22×C73—22no—
736C22×C73—22no—
737C22×C73—22no—
738C22×C73—22no—
739C22×C73—22no—
740C22×C73—416no—
741C22×C73—41no—
742C22×C73—41no—
743C22×C73—41no—
744C22×C73—41no—
745C22×C73—41no—
746C22×C73—41no—
747C22×C73—41no—
748C22×C73—41no—
749C22×C73—41no—
750C22×C73—41no—
751C22×C73—41no—
752C22×C73—41no—
753C22×C73—41no—
754C22×C73—41no—
755C22×C73—41no—
756C22×C73—41no—
757C22×C73#52014yes—
758C22×C73C24×C411yescharacteristic
759C22×C73C2×H(5,𝔽2)11yescharacteristic
760C22×C73C2×H(5,𝔽2)11yescharacteristic
761C22×C73C2×H(5,𝔽2)11yescharacteristic
762C22×C73C2×2−1+411yescharacteristic
763C22×C73#58511yescharacteristic
764C22×C73#58511yescharacteristic
765C4×C73—22no—
766C4×C73—22no—
767C4×C73—22no—
768C4×C73—22no—
769C4×C73—22no—
770C4×C73—22no—
771C4×C73—22no—
772C4×C73—22no—
773C4×C73—22no—
774C4×C73—22no—
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—
788Dic73—41no—
789Dic73—41no—
790Dic73—41no—
791#34416—731nomaximal, Sylow
792C2×C73—24no—
793C2×C73—42no—
794C2×C73—42no—
795C2×C73—42no—
796C2×C73—42no—
797C2×C73C2×#52011yescharacteristic
798C2×C73C4×H(5,𝔽2)11yescharacteristic
799C2×C73C4×H(5,𝔽2)11yescharacteristic
800C2×C73#353211yescharacteristic
801C2×C73#353311yescharacteristic
802C2×C73#354111yescharacteristic
803C2×C73#354111yescharacteristic
804C2×#538D7311yescharacteristic
805#2383—731no—
806#2379—731no—
807#2377—731no—
808#2376—731no—
809#2373—731no—
810#2368—731no—
811#2367—731no—
812#2364—731no—
813#2361—731no—
814#2361—731no—
815#2360—731no—
816#2359—731no—
817#2353—731no—
818#2352—731no—
819#2349—731no—
820D4×C4⋊C4—731no—
821#2337—731no—
822#2335—731no—
823#2334—731no—
824#2334—731no—
825#2326—731no—
826#2325—731no—
827#2324—731no—
828#2322—731no—
829#2321—731no—
830#2321—731no—
831#2312—731no—
832C4×#120—731no—
833C4×#120—731no—
834C2×#385—731no—
835C73#3441611yescharacteristic, complemented, Sylow
836C24×C4—731no—
837#538Dic73116yescomplemented
838C2×#126C2×D7311yescharacteristic
839C2×#126C2×D7311yescharacteristic
840C2×#124C2×D7311yescharacteristic
841C2×#124C2×D7311yescharacteristic
842C2×#123C2×D7311yescharacteristic
843C2×#123C2×D7311yescharacteristic
844C2×C22⋊Q8C2×D7311yescharacteristic
845C2×#121C2×D7311yescharacteristic
846C2×#121C2×D7311yescharacteristic
847C2×#121C2×D7311yescharacteristic
848C2×#120C2×D7311yescharacteristic
849C2×#120C2×D7311yescharacteristic
850C2×C4×Q8—731no—
851C2×C4×D4—731no—
852C2×C4×D4—731no—
853C2×C4×D4—731no—
854C2×C4×D4—731no—
855C2×C4×D4—731no—
856C2×C4×D4—731no—
857C2×C4×D4—731no—
858C2×C4×D4—731no—
859C2×C4×D4—731no—
860C2×C4×D4C2×D7311yescharacteristic
861C2×C4×D4C2×D7311yescharacteristic
862C2×#117—731no—
863C22×C4⋊C4—731no—
864C22×C4⋊C4—731no—
865C22×C4⋊C4—731no—
866C22×C22⋊C4—731no—
867C22×C22⋊C4C2×D7311yescharacteristic
868#391—731no—
869#391—731no—
870#391—731no—
871#390—731no—
872#390—731no—
873#390—731no—
874#390—731no—
875#390—731no—
876#389—731no—
877#389—731no—
878#389—731no—
879#389—731no—
880#389—731no—
881#389—731no—
882#389—731no—
883#389—731no—
884#388—731no—
885#388—731no—
886#388—731no—
887#388—731no—
888#388—731no—
889#388—731no—
890#388—731no—
891#388—731no—
892#388—731no—
893#388—731no—
894#388—731no—
895#388—731no—
896#388—731no—
897#388—731no—
898#388—731no—
899#388—731no—
900#388—731no—
901#388—731no—
902#388—731no—
903#388—731no—
904#388—731no—
905#388—731no—
906#388—731no—
907#388—731no—
908#387—731no—
909#387—731no—
910#387—731no—
911#387—731no—
912#387—731no—
913#387—731no—
914#387—731no—
915#387—731no—
916#387—731no—
917#387—731no—
918#387—731no—
919#387—731no—
920#386—731no—
921#386—731no—
922#386—731no—
923#386—731no—
924#386—731no—
925#386—731no—
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#385—731no—
935#385—731no—
936#385—731no—
937#385—731no—
938#385—731no—
939#385—731no—
940#385—731no—
941#385—731no—
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#384—731no—
957#383—731no—
958#382—731no—
959#382—731no—
960#381—731no—
961#380—731no—
962#380—731no—
963#380—731no—
964#380—731no—
965#380—731no—
966#379—731no—
967#379—731no—
968C4×C4⋊C4—731no—
969C4×C4⋊C4—731no—
970C4×C4⋊C4—731no—
971C4×C4⋊C4—731no—
972C4×C4⋊C4—731no—
973C4×C4⋊C4—731no—
974C4×C4⋊C4—731no—
975C4×C22⋊C4—731no—
976C4×C22⋊C4—731no—
977C4×C22⋊C4—731no—
978C4×C22⋊C4—731no—
979C4×C22⋊C4—731no—
980C4×C22⋊C4—731no—
981C4×C22⋊C4—731no—
982C4×C22⋊C4—731no—
983C4×C22⋊C4—731no—
984C4×C22⋊C4—731no—
985C4×C22⋊C4—731no—
986C4×C22⋊C4—731no—
987C4×C22⋊C4—731no—
988#376—731no—
989C2×#95—731no—
990C2×#95—731no—
991C2×#95—731no—
992C25C22×D7311yescharacteristic
993C22×Q8C22×D7311yescharacteristic
994C22×D4C22×D7311yescharacteristic
995C22×D4C22×D7311yescharacteristic
996C22×D4C22×D7311yescharacteristic
997C22×D4C22×D7311yescharacteristic
998C22×D4C22×D7311yescharacteristic
999C22×D4C22×D7311yescharacteristic
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×C4—731no—
1016C23×C4C22×D7311yescharacteristic
1017C23×C4C22×D7311yescharacteristic
1018C23×C4C22×D7311yescharacteristic
1019C23×C4C22×D7311yescharacteristic
1020#126C2×Dic7318yescomplemented
1021#126C2×Dic7318yescomplemented
1022#124C2×Dic7318yescomplemented
1023#124C2×Dic7318yescomplemented
1024#123C2×Dic7318yescomplemented
1025#123C2×Dic7318yescomplemented
1026C22⋊Q8C2×Dic7318yescomplemented
1027#121C2×Dic7318yescomplemented
1028#121C2×Dic7318yescomplemented
1029#121C2×Dic7318yescomplemented
1030#120C2×Dic7318yescomplemented
1031#120C2×Dic7318yescomplemented
1032C4×Q8—2922no—
1033C4×D4—2922no—
1034C4×D4—2922no—
1035C4×D4—2922no—
1036C4×D4—2922no—
1037C4×D4—2922no—
1038C4×D4—2922no—
1039C4×D4—2922no—
1040C4×D4—2922no—
1041C4×D4—2922no—
1042C4×D4C2×Dic7318yescomplemented
1043C4×D4C2×Dic7318yescomplemented
1044#117—2922no—
1045C2×C4⋊C4—2922no—
1046C2×C4⋊C4—2922no—
1047C2×C4⋊C4—2922no—
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⋊C4—731no—
1061C2×C4⋊C4—731no—
1062C2×C4⋊C4—731no—
1063C2×C4⋊C4—731no—
1064C2×C4⋊C4—731no—
1065C2×C4⋊C4—731no—
1066C2×C4⋊C4—731no—
1067C2×C4⋊C4—731no—
1068C2×C4⋊C4—731no—
1069C2×C4⋊C4—731no—
1070C2×C4⋊C4—731no—
1071C2×C4⋊C4—731no—
1072C2×C4⋊C4C22×D7311yescharacteristic
1073C2×C4⋊C4C22×D7311yescharacteristic
1074C2×C4⋊C4C22×D7311yescharacteristic
1075C2×C4⋊C4C22×D7311yescharacteristic
1076C2×C4⋊C4C22×D7311yescharacteristic
1077C2×C4⋊C4C22×D7311yescharacteristic
1078C2×C22⋊C4—2922no—
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⋊C4C2×Dic7318yescomplemented
1108C2×C22⋊C4C22×D7311yescharacteristic
1109C2×C22⋊C4C22×D7311yescharacteristic
1110C2×C22⋊C4C22×D7311yescharacteristic
1111C2×C22⋊C4C22×D7311yescharacteristic
1112C2×C22⋊C4C22×D7311yescharacteristic
1113C2×C22⋊C4C22×D7311yescharacteristic
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×C42—731no—
1123C2×C42—731no—
1124C2×C42—731no—
1125C2×C42—731no—
1126C2×C42—731no—
1127C2×C42—731no—
1128C2×C42—731no—
1129C2×C42—731no—
1130C2×C42—731no—
1131C2×C42—731no—
1132C2×C42—731no—
1133C2×C42—731no—
1134C2×C42—731no—
1135C2×C42—731no—
1136C2×C42—731no—
1137C2×C42—731no—
1138C2×C42C22×D7311yescharacteristic
1139C2×C42C22×D7311yescharacteristic
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#95—731no—
1159#95—731no—
1160#95—731no—
1161#95—731no—
1162#95—731no—
1163#95—731no—
1164#95—731no—
1165#95—731no—
1166#95—731no—
1167#95—731no—
1168#95—731no—
1169#95—731no—
1170#95—731no—
1171#95—731no—
1172#95—731no—
1173#95—731no—
1174#95—731no—
1175#95—731no—
1176#95—731no—
1177#95—731no—
1178#95—731no—
1179#95—731no—
1180C24—22no—
1181C24—22no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24C22×Dic7314yes—
1187C24C23×D7311yescharacteristic
1188C24C23×D7311yescharacteristic
1189C24C23×D7311yescharacteristic
1190C24C23×D7311yescharacteristic
1191C24C23×D7311yescharacteristic
1192C2×Q8—41no—
1193C2×Q8—41no—
1194C2×Q8C22×Dic7314yescomplemented
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4C22×Dic7314yes—
1210C2×D4C22×Dic7314yes—
1211C2×D4C22×Dic7314yes—
1212C2×D4C22×Dic7314yes—
1213C2×D4C22×Dic7314yes—
1214C2×D4C22×Dic7314yes—
1215C2×D4C22×Dic7314yescomplemented
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—29216no—
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—2921no—
1235C22×C4—2921no—
1236C22×C4—2921no—
1237C22×C4—2921no—
1238C22×C4—2921no—
1239C22×C4—2921no—
1240C22×C4—2921no—
1241C22×C4—2921no—
1242C22×C4—2921no—
1243C22×C4—2921no—
1244C22×C4—2921no—
1245C22×C4—2921no—
1246C22×C4—2921no—
1247C22×C4—2921no—
1248C22×C4—2921no—
1249C22×C4—731no—
1250C22×C4—731no—
1251C22×C4—731no—
1252C22×C4—731no—
1253C22×C4—731no—
1254C22×C4—731no—
1255C22×C4—731no—
1256C22×C4—731no—
1257C22×C4—731no—
1258C22×C4—731no—
1259C22×C4—731no—
1260C22×C4—731no—
1261C22×C4—731no—
1262C22×C4—731no—
1263C22×C4—731no—
1264C22×C4—731no—
1265C22×C4—1462no—
1266C22×C4—1462no—
1267C22×C4—1462no—
1268C22×C4—1462no—
1269C22×C4—1462no—
1270C22×C4—1462no—
1271C22×C4—1462no—
1272C22×C4—1462no—
1273C22×C4—1462no—
1274C22×C4—1462no—
1275C22×C4—1462no—
1276C22×C4—1462no—
1277C22×C4C22×Dic7314yes—
1278C22×C4C22×Dic7314yes—
1279C22×C4C22×Dic7314yescomplemented
1280C22×C4C22×Dic7314yescomplemented
1281C22×C4C23×D7311yescharacteristic
1282C22×C4C23×D7311yescharacteristic
1283C22×C4C23×D7311yescharacteristic
1284C22×C4C23×D7311yescharacteristic
1285C22×C4C23×D7311yescharacteristic
1286C22×C4C23×D7311yescharacteristic
1287C22×C4C23×D7311yescharacteristic
1288C22×C4C23×D7311yescharacteristic
1289C22×C4C23×D7311yescharacteristic
1290C22×C4C23×D7311yescharacteristic
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—1462no—
1310C4⋊C4—1462no—
1311C4⋊C4—1462no—
1312C4⋊C4—1462no—
1313C4⋊C4—1462no—
1314C4⋊C4—1462no—
1315C4⋊C4C22×Dic7314yescomplemented
1316C4⋊C4C22×Dic7314yescomplemented
1317C4⋊C4C22×Dic7314yescomplemented
1318C4⋊C4C22×Dic7314yescomplemented
1319C4⋊C4C22×Dic7314yescomplemented
1320C4⋊C4C22×Dic7314yescomplemented
1321C22⋊C4—2921no—
1322C22⋊C4—2921no—
1323C22⋊C4—2921no—
1324C22⋊C4—2921no—
1325C22⋊C4—2921no—
1326C22⋊C4—2921no—
1327C22⋊C4—2921no—
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—1462no—
1344C22⋊C4—1462no—
1345C22⋊C4—1462no—
1346C22⋊C4—1462no—
1347C22⋊C4—1462no—
1348C22⋊C4—1462no—
1349C22⋊C4C22×Dic7314yes—
1350C22⋊C4C22×Dic7314yes—
1351C22⋊C4C22×Dic7314yes—
1352C22⋊C4C22×Dic7314yes—
1353C22⋊C4C22×Dic7314yes—
1354C22⋊C4C22×Dic7314yes—
1355C22⋊C4C22×Dic7314yes—
1356C22⋊C4C22×Dic7314yes—
1357C22⋊C4C22×Dic7314yes—
1358C22⋊C4C22×Dic7314yes—
1359C22⋊C4C22×Dic7314yescomplemented
1360C22⋊C4C22×Dic7314yescomplemented
1361C22⋊C4C22×Dic7314yescomplemented
1362C22⋊C4C22×Dic7314yescomplemented
1363C42—2921no—
1364C42—2921no—
1365C42—2921no—
1366C42—2921no—
1367C42—2921no—
1368C42—2921no—
1369C42—2921no—
1370C42—2921no—
1371C42—2921no—
1372C42—2921no—
1373C42—2921no—
1374C42—2921no—
1375C42—2921no—
1376C42—2921no—
1377C42—1462no—
1378C42—1462no—
1379C42C22×Dic7314yescomplemented
1380C42C22×Dic7314yescomplemented
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—28no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23C23×Dic7312yes—
1417C23C23×Dic7312yes—
1418C23C23×Dic7312yes—
1419C23C23×Dic7312yes—
1420C23C23×Dic7312yes—
1421C23#1455663712yes—
1422C23#1455663812yes—
1423C23C24×D7311yescharacteristic
1424Q8—44no—
1425D4—28no—
1426D4—28no—
1427D4—44no—
1428D4—44no—
1429D4—44no—
1430D4—44no—
1431D4—44no—
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—44no—
1453C2×C4—44no—
1454C2×C4—44no—
1455C2×C4—44no—
1456C2×C4—2924no—
1457C2×C4—2924no—
1458C2×C4—2924no—
1459C2×C4—2924no—
1460C2×C4—2924no—
1461C2×C4—2924no—
1462C2×C4—5842no—
1463C2×C4—5842no—
1464C2×C4—5842no—
1465C2×C4—5842no—
1466C2×C4—5842no—
1467C2×C4—5842no—
1468C2×C4—732no—
1469C2×C4—732no—
1470C2×C4—1461no—
1471C2×C4—1461no—
1472C2×C4—1461no—
1473C2×C4—1461no—
1474C2×C4—1461no—
1475C2×C4—1461no—
1476C2×C4—1461no—
1477C2×C4—1461no—
1478C2×C4—1461no—
1479C2×C4—1461no—
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×C4C23×Dic7312yes—
1517C2×C4C23×Dic7312yes—
1518C2×C4C23×Dic7312yes—
1519C2×C4C23×Dic7312yes—
1520C2×C4C23×Dic7312yes—
1521C2×C4C23×Dic7312yes—
1522C2×C4C23×Dic7312yes—
1523C2×C4C23×Dic7312yes—
1524C2×C4C23×Dic7312yes—
1525C2×C4C23×Dic7312yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—416no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22#1798907014yes—
1562C22C24×Dic7311yescharacteristic
1563C22H(5,𝔽2)×D7311yescharacteristic
1564C22H(5,𝔽2)×D7311yescharacteristic
1565C22C2×#1455663711yescharacteristic
1566C22C2×#1455663811yescharacteristic
1567C22#1798942211yescharacteristic
1568C22#1798942211yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—2921no—
1580C4—2921no—
1581C4—2921no—
1582C4—2921no—
1583C4—2921no—
1584C4—2921no—
1585C4—2921no—
1586C4—2921no—
1587C4—2921no—
1588C4—2921no—
1589C4—2921no—
1590C4—2921no—
1591C4—2921no—
1592C4—2921no—
1593C4—1462no—
1594C4—1462no—
1595C2—24no—
1596C2—42no—
1597C2—42no—
1598C2—42no—
1599C2—42no—
1600C2C2×#1798907011yescharacteristic
1601C2H(5,𝔽2)×Dic7311yescharacteristic
1602C2H(5,𝔽2)×Dic7311yescharacteristic
1603C2#2262408211yescharacteristic
1604C2#2262409911yescharacteristic
1605C2#2262421111yescharacteristic
1606C2#2262421911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutatorC22×C73C24×C4
Fitting, prime radicalC2×#538×C73C2
socle, cosocleC23×C73C25
hypercenterC2×#538D73
hypocenterC73#34416
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #22613123C2semidirect
2. #22613105C2semidirect
3. #22613088C2semidirect
4. #22613079C2semidirect
5. #22613055C2semidirect
6. #22613016C2semidirect
7. #22613006C2semidirect
8. #22612983C2semidirect
9. #22612951C2semidirect
10. #22612951C2semidirect
11. #22612940C2semidirect
12. #22612927C2semidirect
13. #22612871C2semidirect
14. #22612860C2semidirect
15. #22612841C2semidirect
16. D4×C4⋊Dic73C2semidirect
17. #22612746C2semidirect
18. #22612725C2semidirect
19. #22612710C2semidirect
20. #22612710C2semidirect
21. #22612644C2semidirect
22. #22612636C2semidirect
23. #22612626C2semidirect
24. #22612603C2semidirect
25. #22612592C2semidirect
26. #22612592C2semidirect
27. #22612529C2semidirect
28. #120×Dic73C2semidirect
29. #120×Dic73C2semidirect
30. C2×#17988462C2semidirect
33. C2×Q8×Dic73C22semidirect
42. C2×D4×Dic73C22semidirect
43. C2×#14556550C22semidirect
46. C22×C4⋊Dic73C22semidirect
48. #17988494C22semidirect
49. #17988494C22semidirect
50. #17988494C22semidirect
55. #17988490C22semidirect
56. #17988486C22semidirect
57. #17988486C22semidirect
58. #17988486C22semidirect
59. #17988486C22semidirect
60. #17988486C22semidirect
61. #17988486C22semidirect
62. #17988486C22semidirect
63. #17988486C22semidirect
80. #17988480C22semidirect
81. #17988480C22semidirect
82. #17988480C22semidirect
83. #17988480C22semidirect
84. #17988480C22semidirect
85. #17988480C22semidirect
86. #17988480C22semidirect
87. #17988480C22semidirect
88. #17988473C22semidirect
89. #17988473C22semidirect
90. #17988473C22semidirect
91. #17988473C22semidirect
92. #17988473C22semidirect
93. #17988473C22semidirect
94. #17988473C22semidirect
95. #17988473C22semidirect
96. #17988473C22semidirect
97. #17988473C22semidirect
98. #17988473C22semidirect
99. #17988473C22semidirect
112. #17988467C22semidirect
113. #17988467C22semidirect
130. #17988462C22semidirect
131. #17988462C22semidirect
132. #17988462C22semidirect
133. #17988462C22semidirect
134. #17988462C22semidirect
135. #17988462C22semidirect
136. #17988457C22semidirect
137. #17988455C22semidirect
138. #17988453C22semidirect
139. #17988453C22semidirect
140. #17988450C22semidirect
143. #17988447C22semidirect
144. #17988447C22semidirect
145. #17988447C22semidirect
148. C4⋊C4×Dic73C22semidirect
149. C4⋊C4×Dic73C22semidirect
150. C4⋊C4×Dic73C22semidirect
151. C4⋊C4×Dic73C22semidirect
152. C4×C4⋊Dic73C22semidirect
153. C4×C4⋊Dic73C22semidirect
154. C4×C4⋊Dic73C22semidirect
163. C22⋊C4×Dic73C22semidirect
164. C22⋊C4×Dic73C22semidirect
167. C4×C22⋊Dic73C22semidirect
168. #17988433C22semidirect
171. C2×#14556498C22semidirect
172. #538×C73C4semidirect
339. #126×C73C2×C4semidirect
340. #126×C73C2×C4semidirect
341. #124×C73C2×C4semidirect
342. #124×C73C2×C4semidirect
343. #123×C73C2×C4semidirect
344. #123×C73C2×C4semidirect
345. C22⋊Q8×C73C2×C4semidirect
346. #121×C73C2×C4semidirect
347. #121×C73C2×C4semidirect
348. #121×C73C2×C4semidirect
349. #120×C73C2×C4semidirect
350. #120×C73C2×C4semidirect
351. C4×D4×C73C2×C4semidirect
352. C4×D4×C73C2×C4semidirect
359. C2×C22⋊C4×C73C2×C4semidirect
511. C2×Q8×C73C22×C4semidirect
532. C2×D4×C73C22×C4semidirect
543. C22×C4×C73C22×C4semidirect
544. C22×C4×C73C22×C4semidirect
555. C4⋊C4×C73C22×C4semidirect
556. C4⋊C4×C73C22×C4semidirect
557. C4⋊C4×C73C22×C4semidirect
558. C4⋊C4×C73C22×C4semidirect
559. C4⋊C4×C73C22×C4semidirect
560. C4⋊C4×C73C22×C4semidirect
571. C22⋊C4×C73C22×C4semidirect
572. C22⋊C4×C73C22×C4semidirect
573. C22⋊C4×C73C22×C4semidirect
574. C22⋊C4×C73C22×C4semidirect
575. C42×C73C22×C4semidirect
576. C42×C73C22×C4semidirect
835. C73#34416semidirect
837. #538Dic73semidirect
1020. #126C2×Dic73semidirect
1021. #126C2×Dic73semidirect
1022. #124C2×Dic73semidirect
1023. #124C2×Dic73semidirect
1024. #123C2×Dic73semidirect
1025. #123C2×Dic73semidirect
1026. C22⋊Q8C2×Dic73semidirect
1027. #121C2×Dic73semidirect
1028. #121C2×Dic73semidirect
1029. #121C2×Dic73semidirect
1030. #120C2×Dic73semidirect
1031. #120C2×Dic73semidirect
1042. C4×D4C2×Dic73semidirect
1043. C4×D4C2×Dic73semidirect
1107. C2×C22⋊C4C2×Dic73semidirect
1194. C2×Q8C22×Dic73semidirect
1215. C2×D4C22×Dic73semidirect
1279. C22×C4C22×Dic73semidirect
1280. C22×C4C22×Dic73semidirect
1315. C4⋊C4C22×Dic73semidirect
1316. C4⋊C4C22×Dic73semidirect
1317. C4⋊C4C22×Dic73semidirect
1318. C4⋊C4C22×Dic73semidirect
1319. C4⋊C4C22×Dic73semidirect
1320. C4⋊C4C22×Dic73semidirect
1359. C22⋊C4C22×Dic73semidirect
1360. C22⋊C4C22×Dic73semidirect
1361. C22⋊C4C22×Dic73semidirect
1362. C22⋊C4C22×Dic73semidirect
1379. C42C22×Dic73semidirect
1380. C42C22×Dic73semidirect

Maximal subgroups

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

subgroupindex
#226131232
#226131052
#226130882
#226130792
#226130552
#226130162
#226130062
#226129832
#226129512
#226129402
#226129272
#226128712
#226128602
#226128412
D4×C4⋊Dic732
#226127462
#226127252
#226127102
#226126442
#226126362
#226126262
#226126032
#226125922
#226125292
#120×Dic732
C2×#179884622
C2×#538×C732
#3441673