Finite Group Databasebeta

← #30625005

Subgroups — #30625005

Order 15616.

2074 conjugacy classes of subgroups.

The subgroup lattice has 2010 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462365C211yesmaximal, characteristic, complemented
2#21462361C211yesmaximal, characteristic, complemented
3#21462361C211yesmaximal, characteristic, complemented
4#21462359C211yesmaximal, characteristic, complemented
5#21462357C211yesmaximal, characteristic, complemented
6#21462356C211yesmaximal, characteristic, complemented
7#21462356C211yesmaximal, characteristic, complemented
8#21462354C211yesmaximal, characteristic, complemented
9#21462353C211yesmaximal, characteristic, complemented
10#21462353C211yesmaximal, characteristic, complemented
11#21462345C211yesmaximal, characteristic, complemented
12#21462343C211yesmaximal, characteristic, complemented
13#21462340C211yesmaximal, characteristic, complemented
14#21462335C211yesmaximal, characteristic, complemented
15#21462328C211yesmaximal, characteristic, complemented
16#21462327C211yesmaximal, characteristic, complemented
17#21462318C211yesmaximal, characteristic, complemented
18#21462318C211yesmaximal, characteristic, complemented
19#21462318C211yesmaximal, characteristic, complemented
20#21462318C211yesmaximal, characteristic, complemented
21#21462317C211yesmaximal, characteristic, complemented
22#21462317C211yesmaximal, characteristic, complemented
23#21462316C211yesmaximal, characteristic
24#21462315C211yesmaximal, characteristic, complemented
25#21462307C211yesmaximal, characteristic
26#21462305C211yesmaximal, characteristic, complemented
27#21462302C211yesmaximal, characteristic, complemented
28C22⋊Q8×#6923C211yesmaximal, characteristic, complemented
29#123×#6923C211yesmaximal, characteristic, complemented
30#21462273C211yesmaximal, characteristic, complemented
31#539×D61C211yesmaximal, characteristic
32C2×Q8×#6923C2211yescharacteristic
33C2×D4×#6923C2211yescharacteristic
34C2×#14519856C2211yescharacteristic
35C2×#14519856C2211yescharacteristic
36C22×C4⋊#6923C2211yescharacteristic
37C22×C4×#6923C2211yescharacteristic
38(C2×#6923)⋊Q8C2211yescharacteristic
39(C2×#6923)⋊Q8C2211yescharacteristic
40(C2×#6923)⋊Q8C2211yescharacteristic
41#16840714C2211yescharacteristic
42#16840714C2211yescharacteristic
43#16840714C2211yescharacteristic
44#16840714C2211yescharacteristic
45#16840714C2211yescharacteristic
46#16840713C2211yescharacteristic
47#16840713C2211yescharacteristic
48#16840713C2211yescharacteristic
49#16840713C2211yescharacteristic
50#16840713C2211yescharacteristic
51#16840713C2211yescharacteristic
52#16840713C2211yescharacteristic
53#16840713C2211yescharacteristic
54#16840713C2211yescharacteristic
55#16840713C2211yescharacteristic
56#16840713C2211yescharacteristic
57#16840713C2211yescharacteristic
58#16840713C2211yescharacteristic
59#16840713C2211yescharacteristic
60#16840712C2211yescharacteristic
61#16840712C2211yescharacteristic
62#16840712C2211yescharacteristic
63#16840712C2211yescharacteristic
64#16840712C2211yescharacteristic
65#16840712C2211yescharacteristic
66#16840712C2211yescharacteristic
67#16840712C2211yescharacteristic
68#16840712C2211yescharacteristic
69#16840712C2211yescharacteristic
70#16840712C2211yescharacteristic
71#16840712C2211yescharacteristic
72#16840712C2211yescharacteristic
73#16840712C2211yescharacteristic
74#16840712C2211yescharacteristic
75#16840712C2211yescharacteristic
76#16840712C2211yescharacteristic
77#16840712C2211yescharacteristic
78#16840712C2211yescharacteristic
79#16840712C2211yescharacteristic
80#16840712C2211yescharacteristic
81#16840712C2211yescharacteristic
82#16840712C2211yescharacteristic
83#16840712C2211yescharacteristic
84#16840711C2211yescharacteristic
85#16840711C2211yescharacteristic
86#16840711C2211yescharacteristic
87#16840711C2211yescharacteristic
88#16840711C2211yescharacteristic
89#16840711C2211yescharacteristic
90#16840711C2211yescharacteristic
91#16840711C2211yescharacteristic
92#16840711C2211yescharacteristic
93#16840711C2211yescharacteristic
94#16840711C2211yescharacteristic
95#16840711C2211yescharacteristic
96#16840711C2211yescharacteristic
97#16840711C2211yescharacteristic
98#16840711C2211yescharacteristic
99#16840711C2211yescharacteristic
100#16840711C2211yescharacteristic
101#16840711C2211yescharacteristic
102#16840711C2211yescharacteristic
103#16840711C2211yescharacteristic
104#16840711C2211yescharacteristic
105#16840711C2211yescharacteristic
106#16840711C2211yescharacteristic
107#16840711C2211yescharacteristic
108#16840711C2211yescharacteristic
109#16840711C2211yescharacteristic
110#16840711C2211yescharacteristic
111#16840711C2211yescharacteristic
112#16840710C2211yescharacteristic
113#16840710C2211yescharacteristic
114#16840710C2211yescharacteristic
115#16840710C2211yescharacteristic
116#16840710C2211yescharacteristic
117#16840710C2211yescharacteristic
118#16840709C2211yescharacteristic
119#16840709C2211yescharacteristic
120#16840709C2211yescharacteristic
121#16840709C2211yescharacteristic
122#16840709C2211yescharacteristic
123#16840709C2211yescharacteristic
124#16840709C2211yescharacteristic
125#16840709C2211yescharacteristic
126#16840706C2211yescharacteristic
127#16840706C2211yescharacteristic
128#16840705C2211yescharacteristic
129#16840705C2211yescharacteristic
130#16840705C2211yescharacteristic
131#16840705C2211yescharacteristic
132#16840704C2211yescharacteristic
133#16840704C2211yescharacteristic
134#16840704C2211yescharacteristic
135#16840704C2211yescharacteristic
136#16840704C2211yescharacteristic
137#16840704C2211yescharacteristic
138C4⋊C4×#6923C2211yescharacteristic
139C4⋊C4×#6923C2211yescharacteristic
140C4⋊C4×#6923C2211yescharacteristic
141C4⋊C4×#6923C2211yescharacteristic
142C4⋊C4×#6923C2211yescharacteristic
143C4⋊C4×#6923C2211yescharacteristic
144C4⋊C4×#6923C2211yescharacteristic
145C4⋊C4×#6923C2211yescharacteristic
146C4⋊C4×#6923C2211yescharacteristic
147C4⋊C4×#6923C2211yescharacteristic
148C4⋊C4×#6923C2211yescharacteristic
149C4⋊C4×#6923C2211yescharacteristic
150C4⋊C4×#6923C2211yescharacteristic
151C4⋊C4×#6923C2211yescharacteristic
152C4×C4⋊#6923C2211yescharacteristic
153C4×C4⋊#6923C2211yescharacteristic
154C4×C4⋊#6923C2211yescharacteristic
155C4×C4⋊#6923C2211yescharacteristic
156C22⋊C4×#6923C2211yescharacteristic
157C22⋊C4×#6923C2211yescharacteristic
158C22⋊C4×#6923C2211yescharacteristic
159C22⋊C4×#6923C2211yescharacteristic
160C22⋊C4×#6923C2211yescharacteristic
161C22⋊C4×#6923C2211yescharacteristic
162C22⋊C4×#6923C2211yescharacteristic
163C22⋊C4×#6923C2211yescharacteristic
164C4×C22⋊#6923C2211yescharacteristic
165C4×C22⋊#6923C2211yescharacteristic
166C4×C22⋊#6923C2211yescharacteristic
167C4×C22⋊#6923C2211yescharacteristic
168C4×C22⋊#6923C2211yescharacteristic
169C4×C22⋊#6923C2211yescharacteristic
170#16840698C2211yescharacteristic
171#16840698C2211yescharacteristic
172#16840361C411yescharacteristic, complemented
173#16840360C411yescharacteristic, complemented
174#16840360C411yescharacteristic, complemented
175#16840359C411yescharacteristic, complemented
176#16840358C411yescharacteristic, complemented
177#16840358C411yescharacteristic, complemented
178#16840357C411yescharacteristic, complemented
179#16840356C411yescharacteristic, complemented
180#16840356C411yescharacteristic, complemented
181#16840355C411yescharacteristic, complemented
182#16840355C411yescharacteristic, complemented
183#16840354C411yescharacteristic, complemented
184#16840354C411yescharacteristic, complemented
185#16840353C411yescharacteristic, complemented
186#16840353C411yescharacteristic, complemented
187#126×D61C2211yescharacteristic
188#126×D61C2211yescharacteristic
189#125×D61C2211yescharacteristic
190#125×D61C2211yescharacteristic
191#123×D61C2211yescharacteristic
192#123×D61C2211yescharacteristic
193#123×D61C2211yescharacteristic
194#123×D61C2211yescharacteristic
195C22⋊Q8×D61C2211yescharacteristic
196C22⋊Q8×D61C2211yescharacteristic
197C22⋊Q8×D61C2211yescharacteristic
198#121×D61C2211yescharacteristic
199C4×D4×D61C2211yescharacteristic
200C4×D4×D61C2211yescharacteristic
201C2×C4⋊C4×D61C2211yescharacteristic
202C61×#539C411yescharacteristic, complemented
203C23×#6923C2311yescharacteristic
204C23×#6923C2311yescharacteristic
205C23×#6923C2311yescharacteristic
206C23×#6923C2311yescharacteristic
207Q8×#6923—42no—
208D4×#6923—42no—
209#14519856—42no—
210#14519856—42no—
211C2×C4⋊#6923—42no—
212C2×C4⋊#6923C2311yescharacteristic
213C2×C4⋊#6923C2311yescharacteristic
214C2×C4⋊#6923C2311yescharacteristic
215C2×C4⋊#6923C2311yescharacteristic
216C2×C4⋊#6923C2311yescharacteristic
217C2×C4⋊#6923C2311yescharacteristic
218C2×C4⋊#6923C2311yescharacteristic
219C2×C4⋊#6923C2311yescharacteristic
220C2×C4⋊#6923C2311yescharacteristic
221C2×C4⋊#6923C2311yescharacteristic
222C2×C4⋊#6923C2311yescharacteristic
223C2×C4⋊#6923C2311yescharacteristic
224C2×C4⋊#6923C2311yescharacteristic
225C2×C4⋊#6923C2311yescharacteristic
226C2×C4⋊#6923C2311yescharacteristic
227C2×C4⋊#6923C2311yescharacteristic
228C2×C4⋊#6923C2311yescharacteristic
229C2×C4⋊#6923C2311yescharacteristic
230C2×C4⋊#6923C2311yescharacteristic
231C2×C4⋊#6923C2311yescharacteristic
232C2×C4⋊#6923C2311yescharacteristic
233C2×C4⋊#6923C2311yescharacteristic
234C2×C4⋊#6923C2311yescharacteristic
235C2×C4⋊#6923C2311yescharacteristic
236C2×C22⋊#6923C2311yescharacteristic
237C2×C22⋊#6923C2311yescharacteristic
238C2×C22⋊#6923C2311yescharacteristic
239C2×C22⋊#6923C2311yescharacteristic
240C2×C22⋊#6923C2311yescharacteristic
241C2×C22⋊#6923C2311yescharacteristic
242C2×C22⋊#6923C2311yescharacteristic
243C2×C22⋊#6923C2311yescharacteristic
244C2×C22⋊#6923C2311yescharacteristic
245C2×C22⋊#6923C2311yescharacteristic
246C2×C22⋊#6923C2311yescharacteristic
247C2×C22⋊#6923C2311yescharacteristic
248C2×C22⋊#6923C2311yescharacteristic
249C2×C22⋊#6923C2311yescharacteristic
250C2×C22⋊#6923C2311yescharacteristic
251C2×C22⋊#6923C2311yescharacteristic
252C2×C22⋊#6923C2311yescharacteristic
253C2×C22⋊#6923C2311yescharacteristic
254C2×C22⋊#6923C2311yescharacteristic
255C2×C22⋊#6923C2311yescharacteristic
256C2×C4×#6923—42no—
257C2×C4×#6923C2311yescharacteristic
258C2×C4×#6923C2311yescharacteristic
259C2×C4×#6923C2311yescharacteristic
260C2×C4×#6923C2311yescharacteristic
261C2×C4×#6923C2311yescharacteristic
262C2×C4×#6923C2311yescharacteristic
263C2×C4×#6923C2311yescharacteristic
264C2×C4×#6923C2311yescharacteristic
265C2×C4×#6923C2311yescharacteristic
266C2×C4×#6923C2311yescharacteristic
267C2×C4×#6923C2311yescharacteristic
268C2×C4×#6923C2311yescharacteristic
269C2×C4×#6923C2311yescharacteristic
270C2×C4×#6923C2311yescharacteristic
271C2×C4×#6923C2311yescharacteristic
272C2×C4×#6923C2311yescharacteristic
273C2×C4×#6923C2311yescharacteristic
274C2×C4×#6923C2311yescharacteristic
275C2×C4×#6923C2311yescharacteristic
276C2×C4×#6923C2311yescharacteristic
277C2×C4×#6923C2311yescharacteristic
278C2×C4×#6923C2311yescharacteristic
279C2×C4×#6923C2311yescharacteristic
280C2×C4×#6923C2311yescharacteristic
281(C2×#6923)⋊C4C2311yescharacteristic
282(C2×#6923)⋊C4C2311yescharacteristic
283(C2×#6923)⋊C4C2311yescharacteristic
284(C2×#6923)⋊C4C2311yescharacteristic
285(C2×#6923)⋊C4C2311yescharacteristic
286(C2×#6923)⋊C4C2311yescharacteristic
287(C2×#6923)⋊C4C2311yescharacteristic
288(C2×#6923)⋊C4C2311yescharacteristic
289(C2×#6923)⋊C4C2311yescharacteristic
290(C2×#6923)⋊C4C2311yescharacteristic
291(C2×#6923)⋊C4C2311yescharacteristic
292(C2×#6923)⋊C4C2311yescharacteristic
293(C2×#6923)⋊C4C2311yescharacteristic
294(C2×#6923)⋊C4C2311yescharacteristic
295(C2×#6923)⋊C4C2311yescharacteristic
296(C2×#6923)⋊C4C2311yescharacteristic
297(C2×#6923)⋊C4C2311yescharacteristic
298(C2×#6923)⋊C4C2311yescharacteristic
299(C2×#6923)⋊C4C2311yescharacteristic
300(C2×#6923)⋊C4C2311yescharacteristic
301(C2×#6923)⋊C4C2311yescharacteristic
302(C2×#6923)⋊C4C2311yescharacteristic
303(C2×#6923)⋊C4C2311yescharacteristic
304(C2×#6923)⋊C4C2311yescharacteristic
305(C2×#6923)⋊C4C2311yescharacteristic
306(C2×#6923)⋊C4C2311yescharacteristic
307(C2×#6923)⋊C4C2311yescharacteristic
308(C2×#6923)⋊C4C2311yescharacteristic
309(C2×#6923)⋊C4C2311yescharacteristic
310(C2×#6923)⋊C4C2311yescharacteristic
311(C2×#6923)⋊C4C2311yescharacteristic
312(C2×#6923)⋊C4C2311yescharacteristic
313(C2×#6923)⋊C4C2311yescharacteristic
314(C2×#6923)⋊C4C2311yescharacteristic
315(C2×#6923)⋊C4C2311yescharacteristic
316(C2×#6923)⋊C4C2311yescharacteristic
317(C2×#6923)⋊C4C2311yescharacteristic
318(C2×#6923)⋊C4C2311yescharacteristic
319(C2×#6923)⋊C4C2311yescharacteristic
320(C2×#6923)⋊C4C2311yescharacteristic
321(C2×#6923)⋊C4C2311yescharacteristic
322(C2×#6923)⋊C4C2311yescharacteristic
323(C2×#6923)⋊C4C2311yescharacteristic
324(C2×#6923)⋊C4C2311yescharacteristic
325(C2×#6923)⋊C4C2311yescharacteristic
326(C2×#6923)⋊C4C2311yescharacteristic
327(C2×#6923)⋊C4C2311yescharacteristic
328(C2×#6923)⋊C4C2311yescharacteristic
329C2×Q8×D61C2311yescharacteristic
330C2×D4×D61C2311yescharacteristic
331C2×D4×D61C2311yescharacteristic
332C2×D4×D61C2311yescharacteristic
333C22×C4×D61C2311yescharacteristic
334C22×C4×D61C2311yescharacteristic
335C22×C4×D61C2311yescharacteristic
336C22×C4×D61C2311yescharacteristic
337C22×C4×D61C2311yescharacteristic
338#14519772C2×C411yescharacteristic, complemented
339#14519772C2×C411yescharacteristic, complemented
340#14519772C2×C411yescharacteristic, complemented
341#14519772C2×C411yescharacteristic, complemented
342#14519772C2×C411yescharacteristic, complemented
343#14519772C2×C411yescharacteristic, complemented
344#14519771C2×C411yescharacteristic, complemented
345#14519771C2×C411yescharacteristic, complemented
346#14519770C2×C411yescharacteristic, complemented
347#14519770C2×C411yescharacteristic, complemented
348#14519770C2×C411yescharacteristic, complemented
349#14519770C2×C411yescharacteristic, complemented
350#14519770C2×C411yescharacteristic, complemented
351#14519770C2×C411yescharacteristic, complemented
352#14519769C2×C411yescharacteristic, complemented
353#14519769C2×C411yescharacteristic, complemented
354#14519768C2×C411yescharacteristic, complemented
355#14519768C2×C411yescharacteristic, complemented
356#14519768C2×C411yescharacteristic, complemented
357#14519768C2×C411yescharacteristic, complemented
358#14519767C2×C411yescharacteristic, complemented
359#14519767C2×C411yescharacteristic, complemented
360#14519767C2×C411yescharacteristic, complemented
361#14519767C2×C411yescharacteristic, complemented
362#14519767C2×C411yescharacteristic, complemented
363#14519767C2×C411yescharacteristic, complemented
364#14519767C2×C411yescharacteristic, complemented
365#14519767C2×C411yescharacteristic, complemented
366#14519762C2×C411yescharacteristic
367#14519762C2×C411yescharacteristic
368#14519762C2×C411yescharacteristic
369#14519762C2×C411yescharacteristic
370#14519762C2×C411yescharacteristic, complemented
371#14519762C2×C411yescharacteristic, complemented
372#14519762C2×C411yescharacteristic, complemented
373#14519762C2×C411yescharacteristic, complemented
374#14519761C2×C411yescharacteristic
375#14519761C2×C411yescharacteristic
376#14519761C2×C411yescharacteristic, complemented
377#14519761C2×C411yescharacteristic, complemented
378#14519760C2×C411yescharacteristic
379#14519760C2×C411yescharacteristic
380#14519760C2×C411yescharacteristic, complemented
381#14519760C2×C411yescharacteristic, complemented
382#14519759C2×C411yescharacteristic
383#14519759C2×C411yescharacteristic
384#14519759C2×C411yescharacteristic
385#14519759C2×C411yescharacteristic
386#14519759C2×C411yescharacteristic, complemented
387#14519759C2×C411yescharacteristic, complemented
388#14519759C2×C411yescharacteristic, complemented
389#14519759C2×C411yescharacteristic, complemented
390#14519758C2×C411yescharacteristic
391#14519758C2×C411yescharacteristic
392#14519758C2×C411yescharacteristic, complemented
393#14519758C2×C411yescharacteristic, complemented
394#14519757C2×C411yescharacteristic, complemented
395#14519757C2×C411yescharacteristic, complemented
396#14519757C2×C411yescharacteristic, complemented
397#14519756C2×C411yescharacteristic, complemented
398#14519756C2×C411yescharacteristic, complemented
399#14519756C2×C411yescharacteristic, complemented
400#14519755C2×C411yescharacteristic, complemented
401#14519755C2×C411yescharacteristic, complemented
402#14519755C2×C411yescharacteristic, complemented
403#14519755C2×C411yescharacteristic, complemented
404#14519755C2×C411yescharacteristic, complemented
405#14519755C2×C411yescharacteristic, complemented
406#14519754C2×C411yescharacteristic, complemented
407#14519754C2×C411yescharacteristic, complemented
408#14519754C2×C411yescharacteristic, complemented
409#14519754C2×C411yescharacteristic, complemented
410#14519754C2×C411yescharacteristic, complemented
411#14519754C2×C411yescharacteristic, complemented
412#14519753C2×C411yescharacteristic, complemented
413#14519753C2×C411yescharacteristic, complemented
414#14519753C2×C411yescharacteristic, complemented
415#14519752C2×C411yescharacteristic
416#14519751C2×C411yescharacteristic
417#14519750C2×C411yescharacteristic
418#14519750C2×C411yescharacteristic
419#14519749C2×C411yescharacteristic
420#14519749C2×C411yescharacteristic
421#14519748C2×C411yescharacteristic
422C4×D244C2×C411yescharacteristic, complemented
423C4×D244C2×C411yescharacteristic, complemented
424D4×Dic61C2×C411yescharacteristic, complemented
425D4×Dic61C2×C411yescharacteristic, complemented
426#14519739C2×C411yescharacteristic, complemented
427#14519739C2×C411yescharacteristic, complemented
428C4×C22⋊D61C2×C411yescharacteristic, complemented
429C4×C22⋊D61C2×C411yescharacteristic, complemented
430C4×C22⋊D61C2×C411yescharacteristic, complemented
431C4×C22⋊D61C2×C411yescharacteristic, complemented
432#14519737C2×C411yescharacteristic, complemented
433#14519737C2×C411yescharacteristic, complemented
434#14519737C2×C411yescharacteristic, complemented
435#14519737C2×C411yescharacteristic, complemented
436C2×C4⋊Dic61C2×C411yescharacteristic, complemented
437C2×#11758196C2×C411yescharacteristic, complemented
438C2×#11758196C2×C411yescharacteristic, complemented
439C4⋊C4×D61C2×C411yescharacteristic, complemented
440C4⋊C4×D61C2×C411yescharacteristic, complemented
441C4⋊C4×D61C2×C411yescharacteristic, complemented
442C4⋊C4×D61C2×C411yescharacteristic, complemented
443C4⋊C4×D61C2311yescharacteristic
444C4⋊C4×D61C2311yescharacteristic
445C4⋊C4×D61C2311yescharacteristic
446C4⋊C4×D61C2311yescharacteristic
447C4⋊C4×D61C2311yescharacteristic
448C4⋊C4×D61C2311yescharacteristic
449C4⋊C4×D61C2311yescharacteristic
450C4⋊C4×D61C2311yescharacteristic
451C4⋊C4×D61C2311yescharacteristic
452C4⋊C4×D61C2311yescharacteristic
453C4⋊C4×D61C2311yescharacteristic
454C4⋊C4×D61C2311yescharacteristic
455C4⋊C4×D61C2311yescharacteristic
456C4⋊C4×D61C2311yescharacteristic
457C22⋊C4×D61C2311yescharacteristic
458C22⋊C4×D61C2311yescharacteristic
459C22⋊C4×D61C2311yescharacteristic
460C22⋊C4×D61C2311yescharacteristic
461C22⋊C4×D61C2311yescharacteristic
462C22⋊C4×D61C2311yescharacteristic
463C22⋊C4×D61C2311yescharacteristic
464C22⋊C4×D61C2311yescharacteristic
465C22⋊C4×D61C2311yescharacteristic
466C22⋊C4×D61C2311yescharacteristic
467C42×D61C2311yescharacteristic
468C42×D61C2311yescharacteristic
469#126×C61C2×C411yescharacteristic, complemented
470#126×C61C2×C411yescharacteristic, complemented
471#125×C61C2×C411yescharacteristic, complemented
472#125×C61C2×C411yescharacteristic, complemented
473#123×C61C2×C411yescharacteristic
474#123×C61C2×C411yescharacteristic
475#123×C61C2×C411yescharacteristic, complemented
476#123×C61C2×C411yescharacteristic, complemented
477C22⋊Q8×C61C2×C411yescharacteristic, complemented
478C22⋊Q8×C61C2×C411yescharacteristic, complemented
479C22⋊Q8×C61C2×C411yescharacteristic, complemented
480#121×C61C2×C411yescharacteristic
481C4×D4×C61C2×C411yescharacteristic, complemented
482C4×D4×C61C2×C411yescharacteristic, complemented
483C2×C4⋊C4×C61C2×C411yescharacteristic, complemented
484C23×D61C2411yescharacteristic
485C23×D61C2411yescharacteristic
486C23×D61C2411yescharacteristic
487C22×#6923—22no—
488C22×#6923—22no—
489C22×#6923—22no—
490C22×#6923—41no—
491C22×#6923—41no—
492C22×#6923—41no—
493C22×#6923—41no—
494C22×#6923—41no—
495C22×#6923—41no—
496C22×#6923—41no—
497C22×#6923—41no—
498C22×#6923—41no—
499C22×#6923C2411yescharacteristic
500C22×#6923C2411yescharacteristic
501C22×#6923C2411yescharacteristic
502C22×#6923C2411yescharacteristic
503C22×#6923C2411yescharacteristic
504C22×#6923C2411yescharacteristic
505C22×#6923C2411yescharacteristic
506C22×#6923C2411yescharacteristic
507C22×#6923C2411yescharacteristic
508C22×#6923C2411yescharacteristic
509C22×#6923C2411yescharacteristic
510C22×#6923C2411yescharacteristic
511C22×#6923C2411yescharacteristic
512C22×#6923C2411yescharacteristic
513C22×#6923C2411yescharacteristic
514C22×#6923C2411yescharacteristic
515C2×Q8×C61C22×C411yescharacteristic
516C2×D4×C61C22×C411yescharacteristic
517C2×D4×C61C22×C411yescharacteristic
518C2×D4×C61C22×C411yescharacteristic
519C22×C4×C61C22×C411yescharacteristic
520C22×C4×C61C22×C411yescharacteristic
521C22×C4×C61C22×C411yescharacteristic
522C22×C4×C61C22×C411yescharacteristic
523C22×C4×C61C22×C411yescharacteristic
524C2×C22⋊D61C22×C411yescharacteristic
525C2×C22⋊D61C22×C411yescharacteristic
526C2×C22⋊D61C22×C411yescharacteristic
527C2×C22⋊D61C22×C411yescharacteristic
528C2×C22⋊D61C22×C411yescharacteristic
529C2×C22⋊D61C22×C411yescharacteristic
530C22×Dic61C22×C411yescharacteristic
531C22×Dic61C22×C411yescharacteristic
532C22×Dic61C22×C411yescharacteristic
533C22×Dic61C22×C411yescharacteristic
534C22×Dic61C22×C411yescharacteristic
535Q8×D61—41no—
536Q8×D61—41no—
537D4×D61—41no—
538D4×D61—41no—
539D4×D61—41no—
540D4×D61—41no—
541D4×D61—41no—
542D4×D61—41no—
543C2×D244C22×C411yescharacteristic
544C2×D244C22×C411yescharacteristic
545C2×D244C22×C411yescharacteristic
546C2×C4×D61—41no—
547C2×C4×D61—41no—
548C2×C4×D61—41no—
549C2×C4×D61—41no—
550C2×C4×D61—41no—
551C2×C4×D61—41no—
552C2×C4×D61—41no—
553C2×C4×D61—41no—
554C2×C4×D61—41no—
555C2×C4×D61—41no—
556C2×C4×D61C22×C411yescharacteristic
557C2×C4×D61C22×C411yescharacteristic
558C2×C4×D61C22×C411yescharacteristic
559C2×C4×D61C22×C411yescharacteristic
560C2×C4×D61C22×C411yescharacteristic
561C2×C4×D61C22×C411yescharacteristic
562C2×C4×D61C22×C411yescharacteristic
563C2×C4×D61C22×C411yescharacteristic
564C2×C4×D61C22×C411yescharacteristic
565C2×C4×D61C22×C411yescharacteristic
566C2×C4×D61C2411yescharacteristic
567C2×C4×D61C2411yescharacteristic
568C2×C4×D61C2411yescharacteristic
569C2×C4×D61C2411yescharacteristic
570C2×C4×D61C2411yescharacteristic
571C2×C4×D61C2411yescharacteristic
572C2×C4×D61C2411yescharacteristic
573C2×C4×D61C2411yescharacteristic
574C2×C4×D61C2411yescharacteristic
575C2×C4×D61C2411yescharacteristic
576C2×C4×D61C2411yescharacteristic
577C2×C4×D61C2411yescharacteristic
578C2×Dic122C22×C411yescharacteristic
579C2×Dic122C22×C411yescharacteristic
580C2×Dic122C22×C411yescharacteristic
581C22⋊#6923—22no—
582C22⋊#6923—22no—
583C22⋊#6923—22no—
584C22⋊#6923—41no—
585C22⋊#6923—41no—
586C22⋊#6923—41no—
587C22⋊#6923—41no—
588C22⋊#6923—41no—
589C22⋊#6923—41no—
590C22⋊#6923—41no—
591C22⋊#6923—41no—
592C22⋊#6923—41no—
593C22⋊#6923—41no—
594C22⋊#6923—41no—
595C22⋊#6923—41no—
596C22⋊#6923—41no—
597C22⋊#6923—41no—
598C22⋊#6923—41no—
599C22⋊#6923—41no—
600C22⋊#6923—41no—
601C4⋊#6923—22no—
602C4⋊#6923—22no—
603C4⋊#6923—22no—
604C4⋊#6923—22no—
605C4⋊#6923—22no—
606C4⋊#6923—41no—
607C4⋊#6923—41no—
608C4⋊#6923—41no—
609C4⋊#6923—41no—
610C4⋊#6923—41no—
611C4⋊#6923—41no—
612C4⋊#6923—41no—
613C4⋊#6923—41no—
614C4⋊#6923—41no—
615C4⋊#6923—41no—
616C4⋊#6923—41no—
617C4⋊#6923—41no—
618C4⋊#6923—41no—
619C4⋊#6923—41no—
620C4⋊#6923—41no—
621C4⋊#6923—41no—
622C4⋊#6923—41no—
623C4⋊#6923—41no—
624C4⋊#6923—41no—
625C4×#6923—22no—
626C4×#6923—22no—
627C4×#6923—22no—
628C4×#6923—41no—
629C4×#6923—41no—
630C4×#6923—41no—
631C4×#6923—41no—
632C4×#6923—41no—
633C4×#6923—41no—
634C4×#6923—41no—
635C4×#6923—41no—
636C4×#6923—41no—
637C4×#6923—41no—
638C4×#6923—41no—
639C4×#6923—41no—
640C4×#6923—41no—
641C4×#6923—41no—
642C4×#6923—41no—
643C4×#6923—41no—
644C4×#6923—41no—
645C4×#6923—41no—
646C4×#6923—41no—
647C4×#6923—41no—
648C4×#6923—41no—
649C4⋊C4×C61C22×C411yescharacteristic
650C4⋊C4×C61C22×C411yescharacteristic
651C4⋊C4×C61C22×C411yescharacteristic
652C4⋊C4×C61C22×C411yescharacteristic
653C4⋊C4×C61C22×C411yescharacteristic
654C4⋊C4×C61C22×C411yescharacteristic
655C4⋊C4×C61C22×C411yescharacteristic
656C4⋊C4×C61C22×C411yescharacteristic
657C4⋊C4×C61C22×C411yescharacteristic
658C4⋊C4×C61C22×C411yescharacteristic
659C4⋊C4×C61C22×C411yescharacteristic
660C4⋊C4×C61C22×C411yescharacteristic
661C4⋊C4×C61C22×C411yescharacteristic
662C4⋊C4×C61C22×C411yescharacteristic
663C22⋊C4×C61C22×C411yescharacteristic
664C22⋊C4×C61C22×C411yescharacteristic
665C22⋊C4×C61C22×C411yescharacteristic
666C22⋊C4×C61C22×C411yescharacteristic
667C22⋊C4×C61C22×C411yescharacteristic
668C22⋊C4×C61C22×C411yescharacteristic
669C22⋊C4×C61C22×C411yescharacteristic
670C22⋊C4×C61C22×C411yescharacteristic
671C22⋊C4×C61C22×C411yescharacteristic
672C22⋊C4×C61C22×C411yescharacteristic
673C42×C61C22×C411yescharacteristic
674C42×C61C22×C411yescharacteristic
675C22⋊Dic61C22×C411yescharacteristic
676C22⋊Dic61C22×C411yescharacteristic
677C22⋊Dic61C22×C411yescharacteristic
678C22⋊Dic61C22×C411yescharacteristic
679C22⋊Dic61C22×C411yescharacteristic
680C22⋊Dic61C22×C411yescharacteristic
681C22⋊Dic61C22×C411yescharacteristic
682C22⋊Dic61C22×C411yescharacteristic
683C22⋊Dic61C22×C411yescharacteristic
684C22⋊Dic61C22×C411yescharacteristic
685#11758198C22×C411yescharacteristic
686#11758198C22×C411yescharacteristic
687#11758198C22×C411yescharacteristic
688#11758198C22×C411yescharacteristic
689#11758198C22×C411yescharacteristic
690#11758198C22×C411yescharacteristic
691#11758198C22×C411yescharacteristic
692#11758198C22×C411yescharacteristic
693#11758198C22×C411yescharacteristic
694#11758198C22×C411yescharacteristic
695#11758198C22×C411yescharacteristic
696#11758198C22×C411yescharacteristic
697#11758198C22×C411yescharacteristic
698#11758198C22×C411yescharacteristic
699#11758198C22×C411yescharacteristic
700#11758198C22×C411yescharacteristic
701#11758198C22×C411yescharacteristic
702#11758198C22×C411yescharacteristic
703#11758198C22×C411yescharacteristic
704#11758198C22×C411yescharacteristic
705C4⋊Dic61C22×C411yescharacteristic
706C4⋊Dic61C22×C411yescharacteristic
707C4⋊Dic61C22×C411yescharacteristic
708C4⋊Dic61C22×C411yescharacteristic
709C4⋊Dic61C22×C411yescharacteristic
710C4⋊Dic61C22×C411yescharacteristic
711C4⋊Dic61C22×C411yescharacteristic
712C4⋊Dic61C22×C411yescharacteristic
713C4⋊Dic61C22×C411yescharacteristic
714C4⋊Dic61C22×C411yescharacteristic
715C4⋊Dic61C22×C411yescharacteristic
716C4⋊Dic61C22×C411yescharacteristic
717C4⋊Dic61C22×C411yescharacteristic
718C4⋊Dic61C22×C411yescharacteristic
719#11758196C22×C411yescharacteristic
720#11758196C22×C411yescharacteristic
721#11758196C22×C411yescharacteristic
722#11758196C22×C411yescharacteristic
723#11758196C22×C411yescharacteristic
724#11758196C22×C411yescharacteristic
725#11758196C22×C411yescharacteristic
726#11758196C22×C411yescharacteristic
727#11758196C22×C411yescharacteristic
728#11758196C22×C411yescharacteristic
729#11758196C22×C411yescharacteristic
730#11758196C22×C411yescharacteristic
731#11758196C22×C411yescharacteristic
732#11758196C22×C411yescharacteristic
733#11758196C22×C411yescharacteristic
734#11758196C22×C411yescharacteristic
735#11758196C22×C411yescharacteristic
736#11758196C22×C411yescharacteristic
737#11758196C22×C411yescharacteristic
738#11758196C22×C411yescharacteristic
739#11758196C22×C411yescharacteristic
740#11758196C22×C411yescharacteristic
741#11758196C22×C411yescharacteristic
742#11758196C22×C411yescharacteristic
743#11758196C22×C411yescharacteristic
744#11758196C22×C411yescharacteristic
745#11758196C22×C411yescharacteristic
746#11758196C22×C411yescharacteristic
747C4×Dic61C22×C411yescharacteristic
748C4×Dic61C22×C411yescharacteristic
749C4×Dic61C22×C411yescharacteristic
750C4×Dic61C22×C411yescharacteristic
751C4×Dic61C22×C411yescharacteristic
752C4×Dic61C22×C411yescharacteristic
753C23×C61C23×C411yescharacteristic
754C23×C61C23×C411yescharacteristic
755C23×C61C23×C411yescharacteristic
756C22×D61—21no—
757C22×D61—21no—
758C22×D61—21no—
759C22×D61—21no—
760C22×D61—21no—
761C22×D61—21no—
762C22×D61—21no—
763C22×D61—21no—
764C22×D61—21no—
765C22×D61—21no—
766C22×D61—21no—
767C22×D61—21no—
768C22×D61—21no—
769C22×D61—21no—
770C22×D61—21no—
771C22×D61—21no—
772C22×D61—21no—
773C22×D61—21no—
774C22×D61C23×C411yescharacteristic
775C22×D61C23×C411yescharacteristic
776C22×D61C23×C411yescharacteristic
777C22×D61C2511yescharacteristic
778C2×#6923—21no—
779C2×#6923—21no—
780C2×#6923—21no—
781C2×#6923—21no—
782C2×#6923—21no—
783C2×#6923—21no—
784C2×#6923—21no—
785C2×#6923—21no—
786C2×#6923—21no—
787C2×#6923—21no—
788C2×#6923—21no—
789C2×#6923—21no—
790C2×#6923—21no—
791C2×#6923—21no—
792C2×#6923—21no—
793C2×#6923—21no—
794C2×#6923—21no—
795C2×#6923—21no—
796C2×#6923—21no—
797C2×#6923—21no—
798C2×#6923—21no—
799C2×#6923—21no—
800C2×#6923—21no—
801C2×#6923—21no—
802C2×#6923—21no—
803C2×#6923—21no—
804C2×#6923—21no—
805C2×#6923—21no—
806C2×#6923—21no—
807C2×#6923—21no—
808C2×#6923—21no—
809C2×#6923—21no—
810C2×#6923—21no—
811C2×#6923—21no—
812C2×#6923—21no—
813C2×#6923—21no—
814C2×#6923—21no—
815C2×#6923—21no—
816C2×#6923—21no—
817C2×#6923—21no—
818C2×#6923—21no—
819C2×#6923—21no—
820C2×#6923—21no—
821C2×#6923—21no—
822C2×#6923—21no—
823C2×#6923—21no—
824C2×#6923—44no—
825C2×#6923—44no—
826C2×#6923—82no—
827C2×#6923—82no—
828C2×#6923H(5,𝔽2)12yes—
829C2×#69232−1+412yes—
830Q8×C61—41no—
831D4×C61—41no—
832D4×C61—41no—
833D4×C61—41no—
834C2×C4×C61—41no—
835C2×C4×C61—41no—
836C2×C4×C61—41no—
837C2×C4×C61—41no—
838C2×C4×C61—41no—
839C2×C4×C61C23×C411yescharacteristic
840C2×C4×C61C23×C411yescharacteristic
841C2×C4×C61C23×C411yescharacteristic
842C2×C4×C61C23×C411yescharacteristic
843C2×C4×C61C23×C411yescharacteristic
844C2×C4×C61C23×C411yescharacteristic
845C2×C4×C61C23×C411yescharacteristic
846C2×C4×C61C23×C411yescharacteristic
847C2×C4×C61C23×C411yescharacteristic
848C2×C4×C61C23×C411yescharacteristic
849C2×C4×C61C23×C411yescharacteristic
850C2×C4×C61C23×C411yescharacteristic
851C22⋊D61—41no—
852C22⋊D61—41no—
853C22⋊D61—41no—
854C22⋊D61—41no—
855C22⋊D61—41no—
856C22⋊D61—41no—
857C2×Dic61—41no—
858C2×Dic61—41no—
859C2×Dic61—41no—
860C2×Dic61—41no—
861C2×Dic61—41no—
862C2×Dic61C23×C411yescharacteristic
863C2×Dic61C23×C411yescharacteristic
864C2×Dic61C23×C411yescharacteristic
865C2×Dic61C23×C411yescharacteristic
866C2×Dic61C23×C411yescharacteristic
867C2×Dic61C23×C411yescharacteristic
868C2×Dic61C23×C411yescharacteristic
869C2×Dic61C23×C411yescharacteristic
870C2×Dic61C23×C411yescharacteristic
871C2×Dic61C23×C411yescharacteristic
872C2×Dic61C23×C411yescharacteristic
873C2×Dic61C23×C411yescharacteristic
874D244—41no—
875D244—41no—
876D244—41no—
877C4×D61—21no—
878C4×D61—21no—
879C4×D61—21no—
880C4×D61—21no—
881C4×D61—21no—
882C4×D61—21no—
883C4×D61—21no—
884C4×D61—21no—
885C4×D61—21no—
886C4×D61—21no—
887C4×D61—21no—
888C4×D61—21no—
889C4×D61—21no—
890C4×D61—21no—
891C4×D61—21no—
892C4×D61—21no—
893C4×D61—21no—
894C4×D61—21no—
895C4×D61—21no—
896C4×D61—21no—
897C4×D61—21no—
898C4×D61—21no—
899C4×D61—21no—
900C4×D61—21no—
901C4×D61—41no—
902C4×D61—41no—
903C4×D61—41no—
904C4×D61—41no—
905C4×D61—41no—
906C4×D61—41no—
907C4×D61—41no—
908C4×D61—41no—
909C4×D61—41no—
910C4×D61—41no—
911Dic122—41no—
912Dic122—41no—
913Dic122—41no—
914#34449—611nomaximal, Sylow
915C22×C61—21no—
916C22×C61—21no—
917C22×C61—21no—
918C22×C61—21no—
919C22×C61—21no—
920C22×C61—21no—
921C22×C61—21no—
922C22×C61—21no—
923C22×C61—21no—
924C22×C61C24×C411yescharacteristic
925C2×D61—21no—
926C2×D61—21no—
927C2×D61—21no—
928C2×D61—21no—
929C2×D61—21no—
930C2×D61—21no—
931C2×D61—21no—
932C2×D61—21no—
933C2×D61—21no—
934C2×D61—41no—
935C2×D61—41no—
936C2×D61—41no—
937C2×D61—41no—
938C2×D61—41no—
939C2×D61—41no—
940C2×D61—41no—
941C2×D61—41no—
942C2×D61—41no—
943C2×D61—41no—
944C2×D61—41no—
945C2×D61—41no—
946C2×D61C2×H(5,𝔽2)11yescharacteristic
947C2×D61C2×2−1+411yescharacteristic
948C2×D61#58511yescharacteristic
949C2×D61#58511yescharacteristic
950C2×D61#58511yescharacteristic
951C2×D61#58511yescharacteristic
952#6923—22no—
953#6923—22no—
954#6923—41no—
955#6923—41no—
956#6923—41no—
957#6923—41no—
958#6923—41no—
959#6923—41no—
960#6923—41no—
961#6923—41no—
962#6923—41no—
963#6923—41no—
964#6923—41no—
965#6923—41no—
966#6923—41no—
967#6923—41no—
968C4×C61—21no—
969C4×C61—21no—
970C4×C61—21no—
971C4×C61—21no—
972C4×C61—21no—
973C4×C61—21no—
974C4×C61—21no—
975C4×C61—21no—
976C4×C61—21no—
977C4×C61—21no—
978C4×C61—21no—
979C4×C61—21no—
980Dic61—21no—
981Dic61—21no—
982Dic61—21no—
983Dic61—21no—
984Dic61—21no—
985Dic61—21no—
986Dic61—21no—
987Dic61—21no—
988Dic61—21no—
989Dic61—21no—
990Dic61—21no—
991Dic61—21no—
992C2×#539—611no—
993#2382—611no—
994#2378—611no—
995#2378—611no—
996#2376—611no—
997#2374—611no—
998#2373—611no—
999#2373—611no—
1000#2371—611no—
1001#2370—611no—
1002#2370—611no—
1003#2362—611no—
1004#2360—611no—
1005#2357—611no—
1006#2352—611no—
1007#2345—611no—
1008#2344—611no—
1009#2335—611no—
1010#2335—611no—
1011#2335—611no—
1012#2335—611no—
1013#2334—611no—
1014#2334—611no—
1015#2333—611no—
1016#2332—611no—
1017#2324—611no—
1018#2322—611no—
1019#2319—611no—
1020C4×C22⋊Q8—611no—
1021C4×#123—611no—
1022#2290—611no—
1023C2×C61—41no—
1024C2×C61—41no—
1025C2×C61—41no—
1026C2×C61#342811yescharacteristic
1027C2×C61C4×H(5,𝔽2)11yescharacteristic
1028C2×C61C4×2−1+411yescharacteristic
1029D61—41no—
1030D61—41no—
1031D61—41no—
1032D61#353311yescharacteristic
1033D61#354111yescharacteristic
1034D61#355711yescharacteristic
1035D61#356711yescharacteristic
1036#539—611no—
1037#539—611no—
1038#539—611no—
1039#539—611no—
1040#539—611no—
1041#539—611no—
1042#539—611no—
1043#539—611no—
1044#539—611no—
1045#539—611no—
1046#539—611no—
1047#539—611no—
1048#539—611no—
1049#539—611no—
1050#539—611no—
1051#539#692311yescharacteristic, complemented
1052C2×#126—611no—
1053C2×#126—611no—
1054C2×#125—611no—
1055C2×#125—611no—
1056C2×#123—611no—
1057C2×#123—611no—
1058C2×#123—611no—
1059C2×#123—611no—
1060C2×C22⋊Q8—611no—
1061C2×C22⋊Q8—611no—
1062C2×C22⋊Q8—611no—
1063C2×#121—611no—
1064C2×C4×Q8—611no—
1065C2×C4×D4—611no—
1066C2×C4×D4—611no—
1067C2×C4×D4—611no—
1068C2×#117—611no—
1069C2×#117—611no—
1070C22×C4⋊C4—611no—
1071C22×C4⋊C4—611no—
1072C22×C42—611no—
1073#391—611no—
1074#391—611no—
1075#391—611no—
1076#390—611no—
1077#390—611no—
1078#390—611no—
1079#390—611no—
1080#390—611no—
1081#389—611no—
1082#389—611no—
1083#389—611no—
1084#389—611no—
1085#389—611no—
1086#389—611no—
1087#389—611no—
1088#389—611no—
1089#389—611no—
1090#389—611no—
1091#389—611no—
1092#389—611no—
1093#389—611no—
1094#389—611no—
1095#388—611no—
1096#388—611no—
1097#388—611no—
1098#388—611no—
1099#388—611no—
1100#388—611no—
1101#388—611no—
1102#388—611no—
1103#388—611no—
1104#388—611no—
1105#388—611no—
1106#388—611no—
1107#388—611no—
1108#388—611no—
1109#388—611no—
1110#388—611no—
1111#388—611no—
1112#388—611no—
1113#388—611no—
1114#388—611no—
1115#388—611no—
1116#388—611no—
1117#388—611no—
1118#388—611no—
1119#387—611no—
1120#387—611no—
1121#387—611no—
1122#387—611no—
1123#387—611no—
1124#387—611no—
1125#387—611no—
1126#387—611no—
1127#387—611no—
1128#387—611no—
1129#387—611no—
1130#387—611no—
1131#387—611no—
1132#387—611no—
1133#387—611no—
1134#387—611no—
1135#387—611no—
1136#387—611no—
1137#387—611no—
1138#387—611no—
1139#387—611no—
1140#387—611no—
1141#387—611no—
1142#387—611no—
1143#387—611no—
1144#387—611no—
1145#387—611no—
1146#387—611no—
1147#386—611no—
1148#386—611no—
1149#386—611no—
1150#386—611no—
1151#386—611no—
1152#386—611no—
1153#385—611no—
1154#385—611no—
1155#385—611no—
1156#385—611no—
1157#385—611no—
1158#385—611no—
1159#385—611no—
1160#385—611no—
1161#382—611no—
1162#382—611no—
1163#381—611no—
1164#381—611no—
1165#381—611no—
1166#381—611no—
1167#380—611no—
1168#380—611no—
1169#380—611no—
1170#380—611no—
1171#380—611no—
1172#380—611no—
1173C4×C4⋊C4—611no—
1174C4×C4⋊C4—611no—
1175C4×C4⋊C4—611no—
1176C4×C4⋊C4—611no—
1177C4×C4⋊C4—611no—
1178C4×C4⋊C4—611no—
1179C4×C4⋊C4—611no—
1180C4×C4⋊C4—611no—
1181C4×C4⋊C4—611no—
1182C4×C4⋊C4—611no—
1183C4×C4⋊C4—611no—
1184C4×C4⋊C4—611no—
1185C4×C4⋊C4—611no—
1186C4×C4⋊C4—611no—
1187C4×C4⋊C4—611no—
1188C4×C4⋊C4—611no—
1189C4×C4⋊C4—611no—
1190C4×C4⋊C4—611no—
1191C4×C22⋊C4—611no—
1192C4×C22⋊C4—611no—
1193C4×C22⋊C4—611no—
1194C4×C22⋊C4—611no—
1195C4×C22⋊C4—611no—
1196C4×C22⋊C4—611no—
1197C4×C22⋊C4—611no—
1198C4×C22⋊C4—611no—
1199C4×C22⋊C4—611no—
1200C4×C22⋊C4—611no—
1201C4×C22⋊C4—611no—
1202C4×C22⋊C4—611no—
1203C4×C22⋊C4—611no—
1204C4×C22⋊C4—611no—
1205#376—611no—
1206#376—611no—
1207C61#3444911yescharacteristic, complemented, Sylow
1208C22×Q8—611no—
1209C22×D4—611no—
1210C22×D4—611no—
1211C22×D4—611no—
1212C23×C4—611no—
1213C23×C4—611no—
1214C23×C4—611no—
1215C23×C4—611no—
1216C23×C4—611no—
1217C23×C4—611no—
1218C23×C4—611no—
1219C23×C4—611no—
1220C23×C4—611no—
1221#126—611no—
1222#126—611no—
1223#126—611no—
1224#126—611no—
1225#126—611no—
1226#126—611no—
1227#126—611no—
1228#126—611no—
1229#126—611no—
1230#126—611no—
1231#126—611no—
1232#126—611no—
1233#126—611no—
1234#126—611no—
1235#126C2×#692311yescharacteristic, complemented
1236#126C2×#692311yescharacteristic, complemented
1237#125—611no—
1238#125—611no—
1239#125—611no—
1240#125—611no—
1241#125—611no—
1242#125—611no—
1243#125—611no—
1244#125—611no—
1245#125—611no—
1246#125—611no—
1247#125—611no—
1248#125—611no—
1249#125—611no—
1250#125—611no—
1251#125C2×#692311yescharacteristic, complemented
1252#125C2×#692311yescharacteristic, complemented
1253#123—611no—
1254#123—611no—
1255#123—611no—
1256#123—611no—
1257#123—611no—
1258#123—611no—
1259#123—611no—
1260#123—611no—
1261#123—611no—
1262#123—611no—
1263#123—611no—
1264#123—611no—
1265#123—611no—
1266#123—611no—
1267#123—611no—
1268#123—611no—
1269#123—611no—
1270#123—611no—
1271#123—611no—
1272#123—611no—
1273#123—611no—
1274#123—611no—
1275#123—611no—
1276#123—611no—
1277#123—611no—
1278#123—611no—
1279#123—611no—
1280#123—611no—
1281#123C2×#692311yescharacteristic
1282#123C2×#692311yescharacteristic
1283#123C2×#692311yescharacteristic, complemented
1284#123C2×#692311yescharacteristic, complemented
1285C22⋊Q8—611no—
1286C22⋊Q8—611no—
1287C22⋊Q8—611no—
1288C22⋊Q8—611no—
1289C22⋊Q8—611no—
1290C22⋊Q8—611no—
1291C22⋊Q8—611no—
1292C22⋊Q8—611no—
1293C22⋊Q8—611no—
1294C22⋊Q8—611no—
1295C22⋊Q8—611no—
1296C22⋊Q8—611no—
1297C22⋊Q8—611no—
1298C22⋊Q8—611no—
1299C22⋊Q8—611no—
1300C22⋊Q8—611no—
1301C22⋊Q8—611no—
1302C22⋊Q8—611no—
1303C22⋊Q8—611no—
1304C22⋊Q8—611no—
1305C22⋊Q8—611no—
1306C22⋊Q8C2×#692311yescharacteristic, complemented
1307C22⋊Q8C2×#692311yescharacteristic, complemented
1308C22⋊Q8C2×#692311yescharacteristic, complemented
1309#121—611no—
1310#121—611no—
1311#121—611no—
1312#121—611no—
1313#121—611no—
1314#121—611no—
1315#121—611no—
1316#121C2×#692311yescharacteristic
1317C4×Q8—2442no—
1318C4×D4—611no—
1319C4×D4—611no—
1320C4×D4—611no—
1321C4×D4—611no—
1322C4×D4—611no—
1323C4×D4—611no—
1324C4×D4—611no—
1325C4×D4—611no—
1326C4×D4—611no—
1327C4×D4—611no—
1328C4×D4—611no—
1329C4×D4—611no—
1330C4×D4—611no—
1331C4×D4—611no—
1332C4×D4—2442no—
1333C4×D4C2×#692311yescharacteristic, complemented
1334C4×D4C2×#692311yescharacteristic, complemented
1335#117—2442no—
1336#117—2442no—
1337C2×C4⋊C4—611no—
1338C2×C4⋊C4—611no—
1339C2×C4⋊C4—611no—
1340C2×C4⋊C4—611no—
1341C2×C4⋊C4—611no—
1342C2×C4⋊C4—611no—
1343C2×C4⋊C4—611no—
1344C2×C4⋊C4—611no—
1345C2×C4⋊C4—611no—
1346C2×C4⋊C4—611no—
1347C2×C4⋊C4—611no—
1348C2×C4⋊C4—611no—
1349C2×C4⋊C4—611no—
1350C2×C4⋊C4—611no—
1351C2×C4⋊C4—611no—
1352C2×C4⋊C4—611no—
1353C2×C4⋊C4—611no—
1354C2×C4⋊C4—611no—
1355C2×C4⋊C4—611no—
1356C2×C4⋊C4—611no—
1357C2×C4⋊C4—611no—
1358C2×C4⋊C4—611no—
1359C2×C4⋊C4—611no—
1360C2×C4⋊C4—611no—
1361C2×C4⋊C4—611no—
1362C2×C4⋊C4—611no—
1363C2×C4⋊C4—611no—
1364C2×C4⋊C4—611no—
1365C2×C4⋊C4—611no—
1366C2×C4⋊C4—611no—
1367C2×C4⋊C4—611no—
1368C2×C4⋊C4—611no—
1369C2×C4⋊C4—611no—
1370C2×C4⋊C4—611no—
1371C2×C4⋊C4—611no—
1372C2×C4⋊C4—611no—
1373C2×C4⋊C4—611no—
1374C2×C4⋊C4—611no—
1375C2×C4⋊C4—611no—
1376C2×C4⋊C4—611no—
1377C2×C4⋊C4—611no—
1378C2×C4⋊C4—611no—
1379C2×C4⋊C4—611no—
1380C2×C4⋊C4—611no—
1381C2×C4⋊C4—611no—
1382C2×C4⋊C4—2442no—
1383C2×C4⋊C4C2×#692311yescharacteristic, complemented
1384C2×C22⋊C4—611no—
1385C2×C22⋊C4—611no—
1386C2×C22⋊C4—611no—
1387C2×C22⋊C4—611no—
1388C2×C22⋊C4—611no—
1389C2×C22⋊C4—611no—
1390C2×C22⋊C4—611no—
1391C2×C22⋊C4—611no—
1392C2×C22⋊C4—611no—
1393C2×C22⋊C4—611no—
1394C2×C22⋊C4—611no—
1395C2×C22⋊C4—611no—
1396C2×C22⋊C4—611no—
1397C2×C22⋊C4—611no—
1398C2×C22⋊C4—611no—
1399C2×C22⋊C4—611no—
1400C2×C22⋊C4—611no—
1401C2×C22⋊C4—611no—
1402C2×C22⋊C4—611no—
1403C2×C22⋊C4—611no—
1404C2×C22⋊C4—611no—
1405C2×C22⋊C4—611no—
1406C2×C22⋊C4—611no—
1407C2×C22⋊C4—611no—
1408C2×C22⋊C4—611no—
1409C2×C22⋊C4—611no—
1410C2×C22⋊C4—611no—
1411C2×C22⋊C4—611no—
1412C2×C22⋊C4—611no—
1413C2×C22⋊C4—611no—
1414C2×C42—611no—
1415C2×C42—611no—
1416C2×C42—611no—
1417C2×C42—611no—
1418C2×C42—611no—
1419C2×C42—611no—
1420C2×C42—611no—
1421C2×C42—611no—
1422C2×C42—611no—
1423C2×C42—611no—
1424C2×C42—611no—
1425C2×C42—611no—
1426C2×C42—611no—
1427C2×C42—611no—
1428C2×C42—611no—
1429C2×C42—611no—
1430C2×C42—611no—
1431C2×C42—611no—
1432C2×C42—611no—
1433C2×C42—611no—
1434C2×C42—611no—
1435C2×C42—611no—
1436C2×C42—611no—
1437C2×C42—611no—
1438C2×C42—611no—
1439C2×C42—611no—
1440C2×C42—2442no—
1441#95—611no—
1442#95—611no—
1443#95—611no—
1444#95—611no—
1445#95—611no—
1446#95—611no—
1447#95—611no—
1448#95—611no—
1449#95—611no—
1450#95—611no—
1451#95—611no—
1452#95—611no—
1453#95—611no—
1454#95—611no—
1455#95—611no—
1456#95—611no—
1457#95—611no—
1458#95—611no—
1459#95—611no—
1460#95—611no—
1461#95—611no—
1462#95—611no—
1463#95—611no—
1464#95—611no—
1465#95—611no—
1466#95—611no—
1467#95—611no—
1468#95—611no—
1469#95—611no—
1470#95—611no—
1471#95—611no—
1472#95—611no—
1473#95—611no—
1474#95—611no—
1475#95—611no—
1476#95—611no—
1477#95—611no—
1478#95—611no—
1479#95—611no—
1480#95—611no—
1481#95—611no—
1482#95—611no—
1483#95—611no—
1484#95—611no—
1485#95—611no—
1486#95—611no—
1487#95—611no—
1488#95—611no—
1489C24—611no—
1490C24—611no—
1491C24—611no—
1492C2×Q8—611no—
1493C2×Q8—611no—
1494C2×Q8—611no—
1495C2×Q8—2441no—
1496C2×Q8—2441no—
1497C2×Q8C22×#692311yescharacteristic
1498C2×D4—611no—
1499C2×D4—611no—
1500C2×D4—611no—
1501C2×D4—611no—
1502C2×D4—611no—
1503C2×D4—611no—
1504C2×D4—611no—
1505C2×D4—611no—
1506C2×D4—611no—
1507C2×D4—2441no—
1508C2×D4—2441no—
1509C2×D4—2441no—
1510C2×D4—2441no—
1511C2×D4—2441no—
1512C2×D4—2441no—
1513C2×D4C22×#692311yescharacteristic
1514C2×D4C22×#692311yescharacteristic
1515C2×D4C22×#692311yescharacteristic
1516C22×C4—611no—
1517C22×C4—611no—
1518C22×C4—611no—
1519C22×C4—611no—
1520C22×C4—611no—
1521C22×C4—611no—
1522C22×C4—611no—
1523C22×C4—611no—
1524C22×C4—611no—
1525C22×C4—611no—
1526C22×C4—611no—
1527C22×C4—611no—
1528C22×C4—611no—
1529C22×C4—611no—
1530C22×C4—611no—
1531C22×C4—611no—
1532C22×C4—611no—
1533C22×C4—611no—
1534C22×C4—611no—
1535C22×C4—611no—
1536C22×C4—611no—
1537C22×C4—611no—
1538C22×C4—611no—
1539C22×C4—611no—
1540C22×C4—611no—
1541C22×C4—611no—
1542C22×C4—611no—
1543C22×C4—611no—
1544C22×C4—611no—
1545C22×C4—611no—
1546C22×C4—611no—
1547C22×C4—611no—
1548C22×C4—611no—
1549C22×C4—611no—
1550C22×C4—611no—
1551C22×C4—611no—
1552C22×C4—611no—
1553C22×C4—611no—
1554C22×C4—611no—
1555C22×C4—611no—
1556C22×C4—611no—
1557C22×C4—611no—
1558C22×C4—611no—
1559C22×C4—1222no—
1560C22×C4—1222no—
1561C22×C4—1222no—
1562C22×C4—2441no—
1563C22×C4—2441no—
1564C22×C4—2441no—
1565C22×C4—2441no—
1566C22×C4—2441no—
1567C22×C4—2441no—
1568C22×C4—2441no—
1569C22×C4—2441no—
1570C22×C4—2441no—
1571C22×C4—2441no—
1572C22×C4—2441no—
1573C22×C4—2441no—
1574C22×C4—2441no—
1575C22×C4—2441no—
1576C22×C4—2441no—
1577C22×C4—2441no—
1578C22×C4—2441no—
1579C22×C4—2441no—
1580C22×C4—2441no—
1581C22×C4C22×#692311yescharacteristic
1582C22×C4C22×#692311yescharacteristic
1583C22×C4C22×#692311yescharacteristic
1584C22×C4C22×#692311yescharacteristic
1585C22×C4C22×#692311yescharacteristic
1586C4⋊C4—611no—
1587C4⋊C4—611no—
1588C4⋊C4—611no—
1589C4⋊C4—611no—
1590C4⋊C4—611no—
1591C4⋊C4—611no—
1592C4⋊C4—611no—
1593C4⋊C4—611no—
1594C4⋊C4—611no—
1595C4⋊C4—611no—
1596C4⋊C4—611no—
1597C4⋊C4—611no—
1598C4⋊C4—611no—
1599C4⋊C4—611no—
1600C4⋊C4—611no—
1601C4⋊C4—611no—
1602C4⋊C4—611no—
1603C4⋊C4—611no—
1604C4⋊C4—611no—
1605C4⋊C4—611no—
1606C4⋊C4—611no—
1607C4⋊C4—611no—
1608C4⋊C4—611no—
1609C4⋊C4—611no—
1610C4⋊C4—611no—
1611C4⋊C4—611no—
1612C4⋊C4—611no—
1613C4⋊C4—611no—
1614C4⋊C4—611no—
1615C4⋊C4—611no—
1616C4⋊C4—611no—
1617C4⋊C4—611no—
1618C4⋊C4—611no—
1619C4⋊C4—611no—
1620C4⋊C4—611no—
1621C4⋊C4—611no—
1622C4⋊C4—611no—
1623C4⋊C4—611no—
1624C4⋊C4—611no—
1625C4⋊C4—611no—
1626C4⋊C4—611no—
1627C4⋊C4—611no—
1628C4⋊C4—1222no—
1629C4⋊C4—1222no—
1630C4⋊C4—1222no—
1631C4⋊C4—1222no—
1632C4⋊C4—1222no—
1633C4⋊C4—2441no—
1634C4⋊C4—2441no—
1635C4⋊C4—2441no—
1636C4⋊C4—2441no—
1637C4⋊C4—2441no—
1638C4⋊C4—2441no—
1639C4⋊C4—2441no—
1640C4⋊C4—2441no—
1641C4⋊C4—2441no—
1642C4⋊C4—2441no—
1643C4⋊C4—2441no—
1644C4⋊C4—2441no—
1645C4⋊C4—2441no—
1646C4⋊C4—2441no—
1647C4⋊C4—2441no—
1648C4⋊C4—2441no—
1649C4⋊C4—2441no—
1650C4⋊C4—2441no—
1651C4⋊C4—2441no—
1652C4⋊C4C22×#692311yescharacteristic
1653C4⋊C4C22×#692311yescharacteristic
1654C4⋊C4C22×#692311yescharacteristic
1655C4⋊C4C22×#692311yescharacteristic
1656C4⋊C4C22×#692311yescharacteristic
1657C4⋊C4C22×#692311yescharacteristic
1658C4⋊C4C22×#692311yescharacteristic
1659C4⋊C4C22×#692311yescharacteristic
1660C4⋊C4C22×#692311yescharacteristic
1661C4⋊C4C22×#692311yescharacteristic
1662C4⋊C4C22×#692311yescharacteristic
1663C4⋊C4C22×#692311yescharacteristic
1664C4⋊C4C22×#692311yescharacteristic
1665C4⋊C4C22×#692311yescharacteristic
1666C22⋊C4—611no—
1667C22⋊C4—611no—
1668C22⋊C4—611no—
1669C22⋊C4—611no—
1670C22⋊C4—611no—
1671C22⋊C4—611no—
1672C22⋊C4—611no—
1673C22⋊C4—611no—
1674C22⋊C4—611no—
1675C22⋊C4—611no—
1676C22⋊C4—611no—
1677C22⋊C4—611no—
1678C22⋊C4—611no—
1679C22⋊C4—611no—
1680C22⋊C4—611no—
1681C22⋊C4—611no—
1682C22⋊C4—611no—
1683C22⋊C4—611no—
1684C22⋊C4—611no—
1685C22⋊C4—611no—
1686C22⋊C4—611no—
1687C22⋊C4—611no—
1688C22⋊C4—611no—
1689C22⋊C4—611no—
1690C22⋊C4—611no—
1691C22⋊C4—611no—
1692C22⋊C4—611no—
1693C22⋊C4—611no—
1694C22⋊C4—611no—
1695C22⋊C4—611no—
1696C22⋊C4—1222no—
1697C22⋊C4—1222no—
1698C22⋊C4—1222no—
1699C22⋊C4—2441no—
1700C22⋊C4—2441no—
1701C22⋊C4—2441no—
1702C22⋊C4—2441no—
1703C22⋊C4—2441no—
1704C22⋊C4—2441no—
1705C22⋊C4—2441no—
1706C22⋊C4—2441no—
1707C22⋊C4—2441no—
1708C22⋊C4—2441no—
1709C22⋊C4—2441no—
1710C22⋊C4—2441no—
1711C22⋊C4—2441no—
1712C22⋊C4—2441no—
1713C22⋊C4—2441no—
1714C22⋊C4—2441no—
1715C22⋊C4—2441no—
1716C22⋊C4C22×#692311yescharacteristic
1717C22⋊C4C22×#692311yescharacteristic
1718C22⋊C4C22×#692311yescharacteristic
1719C22⋊C4C22×#692311yescharacteristic
1720C22⋊C4C22×#692311yescharacteristic
1721C22⋊C4C22×#692311yescharacteristic
1722C22⋊C4C22×#692311yescharacteristic
1723C22⋊C4C22×#692311yescharacteristic
1724C22⋊C4C22×#692311yescharacteristic
1725C22⋊C4C22×#692311yescharacteristic
1726C42—611no—
1727C42—611no—
1728C42—611no—
1729C42—611no—
1730C42—611no—
1731C42—611no—
1732C42—1222no—
1733C42—1222no—
1734C42—1222no—
1735C42—2441no—
1736C42—2441no—
1737C42—2441no—
1738C42—2441no—
1739C42—2441no—
1740C42—2441no—
1741C42—2441no—
1742C42—2441no—
1743C42—2441no—
1744C42—2441no—
1745C42—2441no—
1746C42—2441no—
1747C42—2441no—
1748C42—2441no—
1749C42—2441no—
1750C42—2441no—
1751C42—2441no—
1752C42—2441no—
1753C42—2441no—
1754C42—2441no—
1755C42—2441no—
1756C42C22×#692311yescharacteristic
1757C42C22×#692311yescharacteristic
1758C23—611no—
1759C23—611no—
1760C23—611no—
1761C23—611no—
1762C23—1221no—
1763C23—1221no—
1764C23—1221no—
1765C23—1221no—
1766C23—1221no—
1767C23—1221no—
1768C23—1221no—
1769C23—1221no—
1770C23—1221no—
1771C23—1221no—
1772C23—1221no—
1773C23—1221no—
1774C23—1221no—
1775C23—1221no—
1776C23—1221no—
1777C23—1221no—
1778C23—1221no—
1779C23—1221no—
1780C23C23×#692311yescharacteristic
1781C23C23×#692311yescharacteristic
1782C23C23×#692311yescharacteristic
1783Q8—41no—
1784Q8—2441no—
1785Q8—2441no—
1786Q8—2441no—
1787D4—41no—
1788D4—41no—
1789D4—41no—
1790D4—2441no—
1791D4—2441no—
1792D4—2441no—
1793D4—2441no—
1794D4—2441no—
1795D4—2441no—
1796D4—2441no—
1797D4—2441no—
1798D4—2441no—
1799C2×C4—41no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—41no—
1803C2×C4—41no—
1804C2×C4—612no—
1805C2×C4—612no—
1806C2×C4—611no—
1807C2×C4—611no—
1808C2×C4—611no—
1809C2×C4—611no—
1810C2×C4—611no—
1811C2×C4—611no—
1812C2×C4—611no—
1813C2×C4—611no—
1814C2×C4—611no—
1815C2×C4—611no—
1816C2×C4—611no—
1817C2×C4—611no—
1818C2×C4—1221no—
1819C2×C4—1221no—
1820C2×C4—1221no—
1821C2×C4—1221no—
1822C2×C4—1221no—
1823C2×C4—1221no—
1824C2×C4—1221no—
1825C2×C4—1221no—
1826C2×C4—1221no—
1827C2×C4—1221no—
1828C2×C4—1221no—
1829C2×C4—1221no—
1830C2×C4—1221no—
1831C2×C4—1221no—
1832C2×C4—1221no—
1833C2×C4—1221no—
1834C2×C4—1221no—
1835C2×C4—1221no—
1836C2×C4—1221no—
1837C2×C4—1221no—
1838C2×C4—1221no—
1839C2×C4—1221no—
1840C2×C4—1221no—
1841C2×C4—1221no—
1842C2×C4—1221no—
1843C2×C4—1221no—
1844C2×C4—1221no—
1845C2×C4—1221no—
1846C2×C4—1221no—
1847C2×C4—1221no—
1848C2×C4—1221no—
1849C2×C4—1221no—
1850C2×C4—1221no—
1851C2×C4—1221no—
1852C2×C4—1221no—
1853C2×C4—1221no—
1854C2×C4—1221no—
1855C2×C4—1221no—
1856C2×C4—1221no—
1857C2×C4—1221no—
1858C2×C4—1221no—
1859C2×C4—1221no—
1860C2×C4—1221no—
1861C2×C4—1221no—
1862C2×C4—1221no—
1863C2×C4—1221no—
1864C2×C4—1221no—
1865C2×C4—1221no—
1866C2×C4—1221no—
1867C2×C4—1221no—
1868C2×C4—1221no—
1869C2×C4—1221no—
1870C2×C4—1221no—
1871C2×C4—1221no—
1872C2×C4—1221no—
1873C2×C4—1221no—
1874C2×C4—1221no—
1875C2×C4—1221no—
1876C2×C4—1221no—
1877C2×C4—1221no—
1878C2×C4—1221no—
1879C2×C4—1221no—
1880C2×C4—1221no—
1881C2×C4—1221no—
1882C2×C4—1221no—
1883C2×C4—1221no—
1884C2×C4—1221no—
1885C2×C4—1221no—
1886C2×C4—1221no—
1887C2×C4—1221no—
1888C2×C4—4882no—
1889C2×C4—4882no—
1890C2×C4—2441no—
1891C2×C4—2441no—
1892C2×C4—2441no—
1893C2×C4—2441no—
1894C2×C4—2441no—
1895C2×C4—2441no—
1896C2×C4—2441no—
1897C2×C4—2441no—
1898C2×C4—2441no—
1899C2×C4—2441no—
1900C2×C4—2441no—
1901C2×C4—2441no—
1902C2×C4—2441no—
1903C2×C4—2441no—
1904C2×C4—2441no—
1905C2×C4—2444no—
1906C2×C4—2444no—
1907C2×C4C23×#692311yescharacteristic
1908C2×C4C23×#692311yescharacteristic
1909C2×C4C23×#692311yescharacteristic
1910C2×C4C23×#692311yescharacteristic
1911C2×C4C23×#692311yescharacteristic
1912C2×C4C23×#692311yescharacteristic
1913C2×C4C23×#692311yescharacteristic
1914C2×C4C23×#692311yescharacteristic
1915C2×C4C23×#692311yescharacteristic
1916C2×C4C23×#692311yescharacteristic
1917C2×C4C23×#692311yescharacteristic
1918C2×C4C23×#692311yescharacteristic
1919C22—21no—
1920C22—21no—
1921C22—21no—
1922C22—21no—
1923C22—21no—
1924C22—21no—
1925C22—21no—
1926C22—21no—
1927C22—21no—
1928C22—611no—
1929C22—611no—
1930C22—611no—
1931C22—611no—
1932C22—611no—
1933C22—611no—
1934C22—1221no—
1935C22—1221no—
1936C22—1221no—
1937C22—1221no—
1938C22—1221no—
1939C22—1221no—
1940C22—1221no—
1941C22—1221no—
1942C22—1221no—
1943C22—2441no—
1944C22—2441no—
1945C22—2441no—
1946C22—2441no—
1947C22—2441no—
1948C22—2441no—
1949C22—2441no—
1950C22—2441no—
1951C22—2441no—
1952C22—2441no—
1953C22—2441no—
1954C22—2441no—
1955C22C24×#692311yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—21no—
1961C4—21no—
1962C4—21no—
1963C4—21no—
1964C4—21no—
1965C4—21no—
1966C4—21no—
1967C4—21no—
1968C4—1222no—
1969C4—1222no—
1970C4—1221no—
1971C4—1221no—
1972C4—1221no—
1973C4—1221no—
1974C4—1221no—
1975C4—1221no—
1976C4—1221no—
1977C4—1221no—
1978C4—1221no—
1979C4—1221no—
1980C4—1221no—
1981C4—1221no—
1982C4—2441no—
1983C4—2441no—
1984C4—2441no—
1985C4—2441no—
1986C4—2441no—
1987C4—2441no—
1988C4—2441no—
1989C4—2441no—
1990C4—2441no—
1991C4—2441no—
1992C4—2441no—
1993C4—2441no—
1994C4—2441no—
1995C4—2441no—
1996C2—41no—
1997C2—41no—
1998C2—41no—
1999C2—611no—
2000C2—611no—
2001C2—611no—
2002C2—611no—
2003C2—2441no—
2004C2—2441no—
2005C2—2441no—
2006C2#2146279911yescharacteristic
2007C2H(5,𝔽2)×#692311yescharacteristic
2008C22−1+4×#692311yescharacteristic
subgroupG/H
center, FrattiniC22C24×#6923
commutator, socleC22×C61C24×C4
FittingC61×#539C4
prime radical#121×D61C22
cosocleC22×D61C25
hypercenter#539#6923
hypocenterC61#34449
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #539

Complements

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

NH ≅ G/Ntype
1. #21462365C2semidirect
2. #21462361C2semidirect
3. #21462361C2semidirect
4. #21462359C2semidirect
5. #21462357C2semidirect
6. #21462356C2semidirect
7. #21462356C2semidirect
8. #21462354C2semidirect
9. #21462353C2semidirect
10. #21462353C2semidirect
11. #21462345C2semidirect
12. #21462343C2semidirect
13. #21462340C2semidirect
14. #21462335C2semidirect
15. #21462328C2semidirect
16. #21462327C2semidirect
17. #21462318C2semidirect
18. #21462318C2semidirect
19. #21462318C2semidirect
20. #21462318C2semidirect
21. #21462317C2semidirect
22. #21462317C2semidirect
24. #21462315C2semidirect
26. #21462305C2semidirect
27. #21462302C2semidirect
28. C22⋊Q8×#6923C2semidirect
29. #123×#6923C2semidirect
30. #21462273C2semidirect
172. #16840361C4semidirect
173. #16840360C4semidirect
174. #16840360C4semidirect
175. #16840359C4semidirect
176. #16840358C4semidirect
177. #16840358C4semidirect
178. #16840357C4semidirect
179. #16840356C4semidirect
180. #16840356C4semidirect
181. #16840355C4semidirect
182. #16840355C4semidirect
183. #16840354C4semidirect
184. #16840354C4semidirect
185. #16840353C4semidirect
186. #16840353C4semidirect
202. C61×#539C4semidirect
338. #14519772C2×C4semidirect
339. #14519772C2×C4semidirect
340. #14519772C2×C4semidirect
341. #14519772C2×C4semidirect
342. #14519772C2×C4semidirect
343. #14519772C2×C4semidirect
344. #14519771C2×C4semidirect
345. #14519771C2×C4semidirect
346. #14519770C2×C4semidirect
347. #14519770C2×C4semidirect
348. #14519770C2×C4semidirect
349. #14519770C2×C4semidirect
350. #14519770C2×C4semidirect
351. #14519770C2×C4semidirect
352. #14519769C2×C4semidirect
353. #14519769C2×C4semidirect
354. #14519768C2×C4semidirect
355. #14519768C2×C4semidirect
356. #14519768C2×C4semidirect
357. #14519768C2×C4semidirect
358. #14519767C2×C4semidirect
359. #14519767C2×C4semidirect
360. #14519767C2×C4semidirect
361. #14519767C2×C4semidirect
362. #14519767C2×C4semidirect
363. #14519767C2×C4semidirect
364. #14519767C2×C4semidirect
365. #14519767C2×C4semidirect
370. #14519762C2×C4semidirect
371. #14519762C2×C4semidirect
372. #14519762C2×C4semidirect
373. #14519762C2×C4semidirect
376. #14519761C2×C4semidirect
377. #14519761C2×C4semidirect
380. #14519760C2×C4semidirect
381. #14519760C2×C4semidirect
386. #14519759C2×C4semidirect
387. #14519759C2×C4semidirect
388. #14519759C2×C4semidirect
389. #14519759C2×C4semidirect
392. #14519758C2×C4semidirect
393. #14519758C2×C4semidirect
394. #14519757C2×C4semidirect
395. #14519757C2×C4semidirect
396. #14519757C2×C4semidirect
397. #14519756C2×C4semidirect
398. #14519756C2×C4semidirect
399. #14519756C2×C4semidirect
400. #14519755C2×C4semidirect
401. #14519755C2×C4semidirect
402. #14519755C2×C4semidirect
403. #14519755C2×C4semidirect
404. #14519755C2×C4semidirect
405. #14519755C2×C4semidirect
406. #14519754C2×C4semidirect
407. #14519754C2×C4semidirect
408. #14519754C2×C4semidirect
409. #14519754C2×C4semidirect
410. #14519754C2×C4semidirect
411. #14519754C2×C4semidirect
412. #14519753C2×C4semidirect
413. #14519753C2×C4semidirect
414. #14519753C2×C4semidirect
422. C4×D244C2×C4semidirect
423. C4×D244C2×C4semidirect
424. D4×Dic61C2×C4semidirect
425. D4×Dic61C2×C4semidirect
426. #14519739C2×C4semidirect
427. #14519739C2×C4semidirect
428. C4×C22⋊D61C2×C4semidirect
429. C4×C22⋊D61C2×C4semidirect
430. C4×C22⋊D61C2×C4semidirect
431. C4×C22⋊D61C2×C4semidirect
432. #14519737C2×C4semidirect
433. #14519737C2×C4semidirect
434. #14519737C2×C4semidirect
435. #14519737C2×C4semidirect
436. C2×C4⋊Dic61C2×C4semidirect
437. C2×#11758196C2×C4semidirect
438. C2×#11758196C2×C4semidirect
439. C4⋊C4×D61C2×C4semidirect
440. C4⋊C4×D61C2×C4semidirect
441. C4⋊C4×D61C2×C4semidirect
442. C4⋊C4×D61C2×C4semidirect
469. #126×C61C2×C4semidirect
470. #126×C61C2×C4semidirect
471. #125×C61C2×C4semidirect
472. #125×C61C2×C4semidirect
475. #123×C61C2×C4semidirect
476. #123×C61C2×C4semidirect
477. C22⋊Q8×C61C2×C4semidirect
478. C22⋊Q8×C61C2×C4semidirect
479. C22⋊Q8×C61C2×C4semidirect
481. C4×D4×C61C2×C4semidirect
482. C4×D4×C61C2×C4semidirect
483. C2×C4⋊C4×C61C2×C4semidirect
1051. #539#6923semidirect
1207. C61#34449semidirect
1235. #126C2×#6923semidirect
1236. #126C2×#6923semidirect
1251. #125C2×#6923semidirect
1252. #125C2×#6923semidirect
1283. #123C2×#6923semidirect
1284. #123C2×#6923semidirect
1306. C22⋊Q8C2×#6923semidirect
1307. C22⋊Q8C2×#6923semidirect
1308. C22⋊Q8C2×#6923semidirect
1333. C4×D4C2×#6923semidirect
1334. C4×D4C2×#6923semidirect
1383. C2×C4⋊C4C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214623652
#214623612
#214623592
#214623572
#214623562
#214623542
#214623532
#214623452
#214623432
#214623402
#214623352
#214623282
#214623272
#214623182
#214623172
#214623162
#214623152
#214623072
#214623052
#214623022
C22⋊Q8×#69232
#123×#69232
#214622732
#539×D612
#3444961