Finite Group Databasebeta

← C2×#21460084 #30587299

Subgroups — C2×#21460084 #30587299

Order 15616.

7418 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460084C2132yesmaximal, direct product factor
2C2×#16840504C211yesmaximal, characteristic, complemented
3C2×#16840504C211yesmaximal, characteristic, complemented
4C2×#16840503C211yesmaximal, characteristic, complemented
5C2×#16840500C211yesmaximal, characteristic, complemented
6C2×#16840497C211yesmaximal, characteristic, complemented
7C2×#16840496C211yesmaximal, characteristic, complemented
8C2×#16840484C211yesmaximal, characteristic, complemented
9C2×#16840479C211yesmaximal, characteristic, complemented
10C2×#16840475C211yesmaximal, characteristic, complemented
11C2×#16840474C211yesmaximal, characteristic, complemented
12C2×#16840439C211yesmaximal, characteristic, complemented
13C2×#16840436C211yesmaximal, characteristic, complemented
14C2×#16840422C211yesmaximal, characteristic, complemented
15C2×#16840420C211yesmaximal, characteristic, complemented
16C2×#16840404C211yesmaximal, characteristic, complemented
17C2×#16840401C211yesmaximal, characteristic, complemented
18C2×#16840386C211yesmaximal, characteristic, complemented
19C2×#16840382C211yesmaximal, characteristic, complemented
20C2×#16840382C211yesmaximal, characteristic, complemented
21C2×#16840378C211yesmaximal, characteristic, complemented
22C2×#16840376C211yesmaximal, characteristic, complemented
23C2×#16840352C211yesmaximal, characteristic, complemented
24C2×#16840351C211yesmaximal, characteristic, complemented
25C2×#16840348C211yesmaximal, characteristic, complemented
26C2×#16840345C211yesmaximal, characteristic, complemented
27C2×#16840337C211yesmaximal, characteristic, complemented
28C2×#16840330C211yesmaximal, characteristic, complemented
29C2×#16840275C211yesmaximal, characteristic, complemented
30C2×#16840271C211yesmaximal, characteristic, complemented
31C2×#16840270C211yesmaximal, characteristic, complemented
32C2×C61×#542C211yesmaximal, characteristic, complemented
33C22×#11758226C2211yescharacteristic
34C22×#11758222C2211yescharacteristic
35C22×#11758224C2211yescharacteristic
36C22×Q8×D61C2211yescharacteristic, complemented
37C22×D4×D61C2211yescharacteristic, complemented
38C23×C4×D61C2211yescharacteristic, complemented
39#16840504C22116yescomplemented
40#16840504C22116yescomplemented
41#16840503C22116yescomplemented
42#16840500C22116yescomplemented
43#16840497C22116yescomplemented
44#16840496C22116yescomplemented
45#16840484C22116yescomplemented
46#16840479C22116yescomplemented
47#16840475C22116yescomplemented
48#16840474C22116yescomplemented
49#16840439C22116yescomplemented
50#16840436C22116yescomplemented
51#16840422C22116yescomplemented
52#16840420C22116yescomplemented
53#16840404C22116yescomplemented
54#16840401C22116yescomplemented
55#16840386C22116yescomplemented
56#16840382C22116yescomplemented
57#16840382C22116yescomplemented
58#16840378C22116yescomplemented
59#16840376C22116yescomplemented
60#16840352C22116yescomplemented
61#16840351C22116yescomplemented
62#16840348C22116yescomplemented
63#16840345C22116yescomplemented
64#16840337C22116yescomplemented
65#16840330C22116yescomplemented
66C2×#14519776C2211yescharacteristic, complemented
67C2×#14519775C2211yescharacteristic, complemented
68C2×#14519775C2211yescharacteristic, complemented
69C2×#14519774C2211yescharacteristic
70C2×#14519773C2211yescharacteristic
71C2×#14519772C2211yescharacteristic, complemented
72C2×#14519772C2211yescharacteristic, complemented
73C2×#14519772C2211yescharacteristic, complemented
74C2×#14519772C2211yescharacteristic, complemented
75C2×#14519772C2211yescharacteristic, complemented
76C2×#14519772C2211yescharacteristic, complemented
77C2×#14519771C2211yescharacteristic, complemented
78C2×#14519771C2211yescharacteristic, complemented
79C2×#14519770C2211yescharacteristic, complemented
80C2×#14519770C2211yescharacteristic, complemented
81C2×#14519766C2211yescharacteristic
82C2×#14519766C2211yescharacteristic
83C2×#14519766C2211yescharacteristic, complemented
84C2×#14519766C2211yescharacteristic, complemented
85C2×#14519766C2211yescharacteristic, complemented
86C2×#14519766C2211yescharacteristic, complemented
87C2×#14519765C2211yescharacteristic
88C2×#14519765C2211yescharacteristic
89C2×#14519765C2211yescharacteristic, complemented
90C2×#14519765C2211yescharacteristic, complemented
91C2×#14519765C2211yescharacteristic, complemented
92C2×#14519763C2211yescharacteristic
93C2×#14519763C2211yescharacteristic
94C2×#14519763C2211yescharacteristic, complemented
95C2×#14519763C2211yescharacteristic, complemented
96C2×#14519763C2211yescharacteristic, complemented
97C2×#14519763C2211yescharacteristic, complemented
98C2×#14519763C2211yescharacteristic, complemented
99C2×#14519763C2211yescharacteristic, complemented
100C2×#14519763C2211yescharacteristic, complemented
101C2×#14519763C2211yescharacteristic, complemented
102C2×#14519763C2211yescharacteristic, complemented
103C2×#14519763C2211yescharacteristic, complemented
104#16840275C22116yescomplemented
105#16840271C22116yescomplemented
106#16840270C22116yescomplemented
107C2×#14519762C2211yescharacteristic
108C2×#14519762C2211yescharacteristic, complemented
109C2×#14519762C2211yescharacteristic, complemented
110C2×#14519762C2211yescharacteristic, complemented
111C2×#14519762C2211yescharacteristic, complemented
112C2×#14519762C2211yescharacteristic, complemented
113C2×#14519762C2211yescharacteristic, complemented
114C2×#14519762C2211yescharacteristic, complemented
115C2×#14519762C2211yescharacteristic, complemented
116C2×#14519762C2211yescharacteristic, complemented
117C2×#14519762C2211yescharacteristic, complemented
118C2×#14519761C2211yescharacteristic, complemented
119C2×#14519760C2211yescharacteristic, complemented
120C2×#14519760C2211yescharacteristic, complemented
121C2×#14519759C2211yescharacteristic, complemented
122C2×#14519758C2211yescharacteristic, complemented
123C2×#14519757C2211yescharacteristic, complemented
124C2×#14519755C2211yescharacteristic, complemented
125C2×#14519755C2211yescharacteristic, complemented
126C2×#14519755C2211yescharacteristic, complemented
127C2×#14519755C2211yescharacteristic, complemented
128C2×#14519755C2211yescharacteristic, complemented
129C2×#14519755C2211yescharacteristic, complemented
130C2×#14519755C2211yescharacteristic, complemented
131C2×#14519754C2211yescharacteristic, complemented
132C2×#14519754C2211yescharacteristic, complemented
133C2×#14519754C2211yescharacteristic, complemented
134C2×#14519753C2211yescharacteristic, complemented
135C2×#14519753C2211yescharacteristic, complemented
136C2×#14519752C2211yescharacteristic
137C2×#14519752C2211yescharacteristic
138C2×#14519752C2211yescharacteristic, complemented
139C2×#14519752C2211yescharacteristic, complemented
140C2×#14519751C2211yescharacteristic
141C2×#14519751C2211yescharacteristic, complemented
142C2×#14519750C2211yescharacteristic
143C2×#14519750C2211yescharacteristic
144C2×#14519750C2211yescharacteristic
145C2×#14519750C2211yescharacteristic
146C2×#14519750C2211yescharacteristic, complemented
147C2×#14519750C2211yescharacteristic, complemented
148C2×#14519750C2211yescharacteristic, complemented
149C2×#14519750C2211yescharacteristic, complemented
150C2×#14519750C2211yescharacteristic, complemented
151C2×#14519749C2211yescharacteristic
152C2×#14519749C2211yescharacteristic
153C2×#14519749C2211yescharacteristic, complemented
154C2×#14519748C2211yescharacteristic, complemented
155C2×#14519747C2211yescharacteristic
156C2×#14519747C2211yescharacteristic
157C2×#14519747C2211yescharacteristic
158C2×#14519747C2211yescharacteristic
159C2×#14519747C2211yescharacteristic
160C2×#14519747C2211yescharacteristic, complemented
161C2×#14519747C2211yescharacteristic, complemented
162C2×#14519747C2211yescharacteristic, complemented
163C2×#14519747C2211yescharacteristic, complemented
164C2×#14519747C2211yescharacteristic, complemented
165C2×#14519745C2211yescharacteristic
166C2×#14519745C2211yescharacteristic
167C2×#14519745C2211yescharacteristic, complemented
168C2×#14519745C2211yescharacteristic, complemented
169C2×C4×Dic122C2211yescharacteristic, complemented
170C2×C4×Dic122C2211yescharacteristic, complemented
171C2×#14519742C2211yescharacteristic, complemented
172C2×#14519742C2211yescharacteristic, complemented
173C2×#14519742C2211yescharacteristic, complemented
174C2×C4×D244C2211yescharacteristic, complemented
175C2×C4×D244C2211yescharacteristic, complemented
176C2×#14519739C2211yescharacteristic
177C2×#14519739C2211yescharacteristic, complemented
178C2×#14519739C2211yescharacteristic, complemented
179C2×#14519739C2211yescharacteristic, complemented
180C2×#14519739C2211yescharacteristic, complemented
181C2×C4×C22⋊D61C2211yescharacteristic, complemented
182C2×C4×C22⋊D61C2211yescharacteristic, complemented
183C2×C4×C22⋊D61C2211yescharacteristic, complemented
184C2×C4×C22⋊D61C2211yescharacteristic, complemented
185C2×#14519737C2211yescharacteristic
186C2×#14519737C2211yescharacteristic, complemented
187C2×#14519737C2211yescharacteristic, complemented
188C2×#14519737C2211yescharacteristic, complemented
189C2×#14519737C2211yescharacteristic, complemented
190C2×#14519737C2211yescharacteristic, complemented
191C2×#14519735C2211yescharacteristic, complemented
192C2×#14519735C2211yescharacteristic, complemented
193C2×#14519734C2211yescharacteristic, complemented
194C2×#14519734C2211yescharacteristic, complemented
195C2×#14519734C2211yescharacteristic, complemented
196C2×#14519734C2211yescharacteristic, complemented
197C2×#14519733C2211yescharacteristic, complemented
198C2×#14519733C2211yescharacteristic, complemented
199C22×#11758198C2211yescharacteristic, complemented
200C22×#11758198C2211yescharacteristic, complemented
201C2×C22⋊C4×D61C2211yescharacteristic, complemented
202C2×C22⋊C4×D61C2211yescharacteristic, complemented
203C61×#542C22116yescomplemented
204C2×C4⋊Q8×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#126×C61C2211yescharacteristic, complemented
207C2×#124×C61C2211yescharacteristic, complemented
208C2×#124×C61C2211yescharacteristic, complemented
209C2×#124×C61C2211yescharacteristic, complemented
210C2×#123×C61C2211yescharacteristic, complemented
211C2×#123×C61C2211yescharacteristic, complemented
212C2×C22⋊Q8×C61C2211yescharacteristic, complemented
213C2×C22⋊Q8×C61C2211yescharacteristic, complemented
214C2×C22⋊Q8×C61C2211yescharacteristic, complemented
215C2×#121×C61C2211yescharacteristic
216C2×C4×Q8×C61C2211yescharacteristic, complemented
217C2×C4×D4×C61C2211yescharacteristic, complemented
218C2×#117×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C24×D61C2311yescharacteristic
222C2×#11758226—44no—
223C2×#11758226C2318yes—
224C2×#11758222—44no—
225C2×#11758222C2318yes—
226C2×#11758224—44no—
227C2×#11758224C2318yes—
228C22×Dic122C2311yescharacteristic
229C22×Dic122C2311yescharacteristic
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2311yescharacteristic
232C22×Dic122C2311yescharacteristic
233C22×Dic122C2311yescharacteristic
234C2×Q8×D61—44no—
235C2×Q8×D61C2318yescomplemented
236C22×D244C2311yescharacteristic
237C22×D244C2311yescharacteristic
238C22×D244C2311yescharacteristic
239C22×D244C2311yescharacteristic
240C22×D244C2311yescharacteristic
241C22×D244C2311yescharacteristic
242C22×D244C2311yescharacteristic
243C22×D244C2311yescharacteristic
244C22×D244C2311yescharacteristic
245C22×D244C2311yescharacteristic
246C22×D244C2311yescharacteristic
247C22×D244C2311yescharacteristic
248C22×C22⋊D61C2311yescharacteristic
249C22×C22⋊D61C2311yescharacteristic
250C22×C22⋊D61C2311yescharacteristic
251C22×C22⋊D61C2311yescharacteristic
252C22×C22⋊D61C2311yescharacteristic
253C22×C22⋊D61C2311yescharacteristic
254C22×C22⋊D61C2311yescharacteristic
255C22×C22⋊D61C2311yescharacteristic
256C22×C22⋊D61C2311yescharacteristic
257C22×C22⋊D61C2311yescharacteristic
258C22×C22⋊D61C2311yescharacteristic
259C22×C22⋊D61C2311yescharacteristic
260C2×D4×D61—44no—
261C2×D4×D61C2318yescomplemented
262C23×Dic61C2311yescharacteristic
263C23×Dic61C2311yescharacteristic
264C23×Dic61C2311yescharacteristic
265C22×C4×D61—44no—
266C22×C4×D61C2311yescharacteristic
267C22×C4×D61C2311yescharacteristic
268C22×C4×D61C2311yescharacteristic
269C22×C4×D61C2311yescharacteristic
270C22×C4×D61C2311yescharacteristic
271C22×C4×D61C2311yescharacteristic
272C22×C4×D61C2311yescharacteristic
273C22×C4×D61C2311yescharacteristic
274C22×C4×D61C2311yescharacteristic
275C22×C4×D61C2311yescharacteristic
276C22×C4×D61C2311yescharacteristic
277C22×C4×D61C2311yescharacteristic
278C22×C4×D61C2318yescomplemented
279#14519776C2318yescomplemented
280#14519775C2318yescomplemented
281#14519775C2318yescomplemented
282#14519774C2318yes—
283#14519773C2318yes—
284#14519772C2318yescomplemented
285#14519772C2318yescomplemented
286#14519772C2318yescomplemented
287#14519772C2318yescomplemented
288#14519772C2318yescomplemented
289#14519772C2318yescomplemented
290#14519771C2318yescomplemented
291#14519771C2318yescomplemented
292#14519770C2318yescomplemented
293#14519770C2318yescomplemented
294#14519766C2318yes—
295#14519766C2318yes—
296#14519766C2318yescomplemented
297#14519766C2318yescomplemented
298#14519766C2318yescomplemented
299#14519766C2318yescomplemented
300#14519765C2318yes—
301#14519765C2318yes—
302#14519765C2318yescomplemented
303#14519765C2318yescomplemented
304#14519765C2318yescomplemented
305#14519763C2318yes—
306#14519763C2318yes—
307#14519763C2318yescomplemented
308#14519763C2318yescomplemented
309#14519763C2318yescomplemented
310#14519763C2318yescomplemented
311#14519763C2318yescomplemented
312#14519763C2318yescomplemented
313#14519763C2318yescomplemented
314#14519763C2318yescomplemented
315#14519763C2318yescomplemented
316#14519763C2318yescomplemented
317#14519762C2318yes—
318#14519762C2318yescomplemented
319#14519762C2318yescomplemented
320#14519762C2318yescomplemented
321#14519762C2318yescomplemented
322#14519762C2318yescomplemented
323#14519762C2318yescomplemented
324#14519762C2318yescomplemented
325#14519762C2318yescomplemented
326#14519762C2318yescomplemented
327#14519762C2318yescomplemented
328#14519761C2318yescomplemented
329#14519760C2318yescomplemented
330#14519760C2318yescomplemented
331#14519759C2318yescomplemented
332#14519758C2318yescomplemented
333#14519757C2318yescomplemented
334#14519755C2318yescomplemented
335#14519755C2318yescomplemented
336#14519755C2318yescomplemented
337#14519755C2318yescomplemented
338#14519755C2318yescomplemented
339#14519755C2318yescomplemented
340#14519755C2318yescomplemented
341#14519754C2318yescomplemented
342#14519754C2318yescomplemented
343#14519754C2318yescomplemented
344#14519753C2318yescomplemented
345#14519753C2318yescomplemented
346#14519752C2318yes—
347#14519752C2318yes—
348#14519752C2318yescomplemented
349#14519752C2318yescomplemented
350#14519751C2318yes—
351#14519751C2318yescomplemented
352#14519750C2318yes—
353#14519750C2318yes—
354#14519750C2318yes—
355#14519750C2318yes—
356#14519750C2318yescomplemented
357#14519750C2318yescomplemented
358#14519750C2318yescomplemented
359#14519750C2318yescomplemented
360#14519750C2318yescomplemented
361#14519749C2318yes—
362#14519749C2318yes—
363#14519749C2318yescomplemented
364#14519748C2318yescomplemented
365#14519747C2318yes—
366#14519747C2318yes—
367#14519747C2318yes—
368#14519747C2318yes—
369#14519747C2318yes—
370#14519747C2318yescomplemented
371#14519747C2318yescomplemented
372#14519747C2318yescomplemented
373#14519747C2318yescomplemented
374#14519747C2318yescomplemented
375#14519745C2318yes—
376#14519745C2318yes—
377#14519745C2318yescomplemented
378#14519745C2318yescomplemented
379C4×Dic122C2318yescomplemented
380C4×Dic122C2318yescomplemented
381#14519742C2318yescomplemented
382#14519742C2318yescomplemented
383#14519742C2318yescomplemented
384C4×D244C2318yescomplemented
385C4×D244C2318yescomplemented
386#14519739C2318yes—
387#14519739C2318yescomplemented
388#14519739C2318yescomplemented
389#14519739C2318yescomplemented
390#14519739C2318yescomplemented
391C4×C22⋊D61C2318yescomplemented
392C4×C22⋊D61C2318yescomplemented
393C4×C22⋊D61C2318yescomplemented
394C4×C22⋊D61C2318yescomplemented
395#14519737C2318yes—
396#14519737C2318yescomplemented
397#14519737C2318yescomplemented
398#14519737C2318yescomplemented
399#14519737C2318yescomplemented
400#14519737C2318yescomplemented
401#14519735C2318yescomplemented
402#14519735C2318yescomplemented
403#14519734C2318yescomplemented
404#14519734C2318yescomplemented
405#14519734C2318yescomplemented
406#14519734C2318yescomplemented
407#14519733C2318yescomplemented
408#14519733C2318yescomplemented
409C2×C4⋊Dic61C2311yescharacteristic
410C2×C4⋊Dic61C2311yescharacteristic
411C2×C4⋊Dic61C2311yescharacteristic
412C2×C4⋊Dic61C2311yescharacteristic
413C2×#11758196C2311yescharacteristic
414C2×#11758196C2311yescharacteristic
415C2×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2311yescharacteristic
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C2×#11758196C2311yescharacteristic
429C2×C22⋊Dic61C2311yescharacteristic
430C2×C22⋊Dic61C2311yescharacteristic
431C2×C22⋊Dic61C2311yescharacteristic
432C2×C22⋊Dic61C2311yescharacteristic
433C2×C22⋊Dic61C2311yescharacteristic
434C2×C22⋊Dic61C2311yescharacteristic
435C2×#11758198C2311yescharacteristic
436C2×#11758198C2311yescharacteristic
437C2×#11758198C2311yescharacteristic
438C2×#11758198C2311yescharacteristic
439C2×#11758198C2311yescharacteristic
440C2×#11758198C2311yescharacteristic
441C2×#11758198C2311yescharacteristic
442C2×#11758198C2311yescharacteristic
443C2×#11758198C2311yescharacteristic
444C2×#11758198C2311yescharacteristic
445C2×#11758198C2311yescharacteristic
446C2×#11758198C2311yescharacteristic
447C2×#11758198C2311yescharacteristic
448C2×#11758198C2311yescharacteristic
449C2×#11758198C2311yescharacteristic
450C2×#11758198C2311yescharacteristic
451C2×#11758198C2311yescharacteristic
452C2×#11758198C2311yescharacteristic
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2311yescharacteristic
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2311yescharacteristic
459C2×#11758198C2311yescharacteristic
460C2×#11758198C2311yescharacteristic
461C2×#11758198C2311yescharacteristic
462C2×#11758198C2311yescharacteristic
463C2×#11758198C2311yescharacteristic
464C2×#11758198C2311yescharacteristic
465C2×#11758198C2311yescharacteristic
466C2×#11758198C2311yescharacteristic
467C2×#11758198C2311yescharacteristic
468C2×#11758198C2311yescharacteristic
469C2×#11758198C2311yescharacteristic
470C2×#11758198C2311yescharacteristic
471C2×#11758198C2318yescomplemented
472C2×#11758198C2318yescomplemented
473C22⋊C4×D61C2318yescomplemented
474C22⋊C4×D61C2318yescomplemented
475C2×C4×Dic61C2311yescharacteristic
476C2×C4×Dic61C2311yescharacteristic
477C2×C4×Dic61C2311yescharacteristic
478C2×C4×Dic61C2311yescharacteristic
479C2×C4×Dic61C2311yescharacteristic
480C2×C4×Dic61C2311yescharacteristic
481C2×C4×Dic61C2311yescharacteristic
482C2×C4×Dic61C2311yescharacteristic
483C2×C4×Dic61C2311yescharacteristic
484C2×C4×Dic61C2311yescharacteristic
485C22×Q8×C61C2311yescharacteristic
486C22×Q8×C61C2311yescharacteristic
487C22×Q8×C61C2311yescharacteristic
488C22×D4×C61C2311yescharacteristic
489C22×D4×C61C2311yescharacteristic
490C22×D4×C61C2311yescharacteristic
491C23×C4×C61C2311yescharacteristic
492C23×C4×C61C2311yescharacteristic
493C23×C4×C61C2311yescharacteristic
494C4⋊Q8×C61C2318yescomplemented
495#126×C61C2318yescomplemented
496#126×C61C2318yescomplemented
497#124×C61C2318yescomplemented
498#124×C61C2318yescomplemented
499#124×C61C2318yescomplemented
500#123×C61C2318yescomplemented
501#123×C61C2318yescomplemented
502C22⋊Q8×C61C2318yescomplemented
503C22⋊Q8×C61C2318yescomplemented
504C22⋊Q8×C61C2318yescomplemented
505#121×C61C2318yes—
506C4×Q8×C61C2318yescomplemented
507C4×D4×C61C2318yescomplemented
508#117×C61C2318yescomplemented
509C2×C4⋊C4×C61C2311yescharacteristic
510C2×C4⋊C4×C61C2311yescharacteristic
511C2×C4⋊C4×C61C2311yescharacteristic
512C2×C4⋊C4×C61C2311yescharacteristic
513C2×C4⋊C4×C61C2311yescharacteristic
514C2×C4⋊C4×C61C2311yescharacteristic
515C2×C4⋊C4×C61C2311yescharacteristic
516C2×C4⋊C4×C61C2311yescharacteristic
517C2×C4⋊C4×C61C2311yescharacteristic
518C2×C4⋊C4×C61C2311yescharacteristic
519C2×C22⋊C4×C61C2311yescharacteristic
520C2×C22⋊C4×C61C2311yescharacteristic
521C2×C22⋊C4×C61C2311yescharacteristic
522C2×C22⋊C4×C61C2311yescharacteristic
523C2×C22⋊C4×C61C2311yescharacteristic
524C2×C22⋊C4×C61C2311yescharacteristic
525C2×C22⋊C4×C61C2311yescharacteristic
526C2×C22⋊C4×C61C2311yescharacteristic
527C2×C22⋊C4×C61C2311yescharacteristic
528C2×C22⋊C4×C61C2311yescharacteristic
529C2×C22⋊C4×C61C2311yescharacteristic
530C2×C22⋊C4×C61C2311yescharacteristic
531C2×C42×C61C2311yescharacteristic
532C2×C42×C61C2311yescharacteristic
533C2×C42×C61C2311yescharacteristic
534C2×C42×C61C2311yescharacteristic
535C24×C61C2411yescharacteristic
536C24×C61C2411yescharacteristic
537C24×C61C2411yescharacteristic
538C23×D61—42no—
539C23×D61—42no—
540C23×D61—42no—
541C23×D61—42no—
542C23×D61—42no—
543C23×D61—42no—
544C23×D61—42no—
545C23×D61—42no—
546C23×D61—42no—
547C23×D61C2411yescharacteristic
548C23×D61C2411yescharacteristic
549C23×D61C2411yescharacteristic
550C23×D61C2411yescharacteristic
551C23×D61C2411yescharacteristic
552C23×D61C2411yescharacteristic
553C23×D61C2414yes—
554C23×D61C2414yes—
555C23×D61C2414yes—
556C2×Q8×C61—42no—
557C2×Q8×C61—42no—
558C2×Q8×C61—42no—
559C2×Q8×C61C2414yes—
560C2×Q8×C61C2414yes—
561C2×Q8×C61C2414yes—
562C2×D4×C61—42no—
563C2×D4×C61—42no—
564C2×D4×C61—42no—
565C2×D4×C61C2414yes—
566C2×D4×C61C2414yes—
567C2×D4×C61C2414yes—
568C22×C4×C61—42no—
569C22×C4×C61—42no—
570C22×C4×C61—42no—
571C22×C4×C61C2411yescharacteristic
572C22×C4×C61C2411yescharacteristic
573C22×C4×C61C2411yescharacteristic
574C22×C4×C61C2411yescharacteristic
575C22×C4×C61C2411yescharacteristic
576C22×C4×C61C2411yescharacteristic
577C22×C4×C61C2411yescharacteristic
578C22×C4×C61C2411yescharacteristic
579C22×C4×C61C2411yescharacteristic
580C22×C4×C61C2411yescharacteristic
581C22×C4×C61C2411yescharacteristic
582C22×C4×C61C2411yescharacteristic
583C22×C4×C61C2414yes—
584C22×C4×C61C2414yes—
585C22×C4×C61C2414yes—
586C2×C22⋊D61—24no—
587C2×C22⋊D61—24no—
588C2×C22⋊D61—42no—
589C2×C22⋊D61—42no—
590C2×C22⋊D61—42no—
591C2×C22⋊D61—42no—
592C2×C22⋊D61—42no—
593C2×C22⋊D61—42no—
594C2×C22⋊D61—42no—
595C2×C22⋊D61—42no—
596C2×C22⋊D61—42no—
597C2×C22⋊D61—42no—
598C2×C22⋊D61C2414yes—
599C2×C22⋊D61C2414yes—
600C2×C22⋊D61C2414yes—
601C2×C22⋊D61C2414yes—
602C2×C22⋊D61C2414yes—
603C2×C22⋊D61C2414yes—
604C2×C22⋊D61C2414yes—
605C2×C22⋊D61C2414yes—
606C2×C22⋊D61C2414yes—
607C2×C22⋊D61C2414yes—
608C2×C22⋊D61C2414yes—
609C2×C22⋊D61C2414yes—
610C22×Dic61—24no—
611C22×Dic61—42no—
612C22×Dic61—42no—
613C22×Dic61C2411yescharacteristic
614C22×Dic61C2411yescharacteristic
615C22×Dic61C2411yescharacteristic
616C22×Dic61C2411yescharacteristic
617C22×Dic61C2411yescharacteristic
618C22×Dic61C2414yes—
619C22×Dic61C2411yescharacteristic
620C22×Dic61C2411yescharacteristic
621C22×Dic61C2411yescharacteristic
622C22×Dic61C2411yescharacteristic
623C22×Dic61C2414yes—
624C22×Dic61C2414yes—
625C22×Dic61C2411yescharacteristic
626#11758226—416no—
627Q8×D61—416no—
628#11758224—416no—
629D4×D61—416no—
630#11758222—416no—
631C2×D244—42no—
632C2×D244—42no—
633C2×D244—42no—
634C2×D244—42no—
635C2×D244—42no—
636C2×D244—42no—
637C2×D244—42no—
638C2×D244—42no—
639C2×D244—42no—
640C2×D244—42no—
641C2×D244—42no—
642C2×D244—42no—
643C2×D244C2414yes—
644C2×D244C2414yes—
645C2×D244C2414yes—
646C2×D244C2414yes—
647C2×D244C2414yes—
648C2×D244C2414yes—
649C2×D244C2414yes—
650C2×D244C2414yes—
651C2×D244C2414yes—
652C2×D244C2414yes—
653C2×D244C2414yes—
654C2×D244C2414yes—
655C2×C4×D61—24no—
656C2×C4×D61—24no—
657C2×C4×D61—24no—
658C2×C4×D61—24no—
659C2×C4×D61—416no—
660C2×C4×D61—42no—
661C2×C4×D61—42no—
662C2×C4×D61—42no—
663C2×C4×D61—42no—
664C2×C4×D61—42no—
665C2×C4×D61—42no—
666C2×C4×D61—42no—
667C2×C4×D61—42no—
668C2×C4×D61C2414yes—
669C2×C4×D61C2414yes—
670C2×C4×D61C2414yes—
671C2×C4×D61C2414yes—
672C2×C4×D61C2414yes—
673C2×C4×D61C2414yes—
674C2×C4×D61C2414yes—
675C2×C4×D61C2414yes—
676C2×C4×D61C2414yes—
677C2×C4×D61C2414yes—
678C2×C4×D61C2414yes—
679C2×C4×D61C2414yes—
680C2×Dic122—24no—
681C2×Dic122—24no—
682C2×Dic122—42no—
683C2×Dic122—42no—
684C2×Dic122—42no—
685C2×Dic122—42no—
686C2×Dic122C2414yes—
687C2×Dic122C2414yes—
688C2×Dic122C2414yes—
689C2×Dic122C2414yes—
690C2×Dic122C2414yes—
691C2×Dic122C2414yes—
692C4⋊C4×C61C2414yes—
693C4⋊C4×C61C2414yes—
694C4⋊C4×C61C2414yes—
695C4⋊C4×C61C2414yes—
696C4⋊C4×C61C2414yes—
697C4⋊C4×C61C2414yes—
698C4⋊C4×C61C2414yes—
699C4⋊C4×C61C2414yes—
700C4⋊C4×C61C2414yes—
701C4⋊C4×C61C2414yes—
702C22⋊C4×C61C2414yes—
703C22⋊C4×C61C2414yes—
704C22⋊C4×C61C2414yes—
705C22⋊C4×C61C2414yes—
706C22⋊C4×C61C2414yes—
707C22⋊C4×C61C2414yes—
708C22⋊C4×C61C2414yes—
709C22⋊C4×C61C2414yes—
710C22⋊C4×C61C2414yes—
711C22⋊C4×C61C2414yes—
712C22⋊C4×C61C2414yes—
713C22⋊C4×C61C2414yes—
714C42×C61C2414yes—
715C42×C61C2414yes—
716C42×C61C2414yes—
717C42×C61C2414yes—
718C22⋊Dic61C2414yes—
719C22⋊Dic61C2414yes—
720C22⋊Dic61C2414yes—
721C22⋊Dic61C2414yes—
722C22⋊Dic61C2414yes—
723C22⋊Dic61C2414yes—
724#11758198C2414yes—
725#11758198C2414yes—
726#11758198C2414yes—
727#11758198C2414yes—
728#11758198C2414yes—
729#11758198C2414yes—
730#11758198C2414yes—
731#11758198C2414yes—
732#11758198C2414yes—
733#11758198C2414yes—
734#11758198C2414yes—
735#11758198C2414yes—
736#11758198C2414yes—
737#11758198C2414yes—
738#11758198C2414yes—
739#11758198C2414yes—
740#11758198C2414yes—
741#11758198C2414yes—
742#11758198C2414yes—
743#11758198C2414yes—
744#11758198C2414yes—
745#11758198C2414yes—
746#11758198C2414yes—
747#11758198C2414yes—
748#11758198C2414yes—
749#11758198C2414yes—
750#11758198C2414yes—
751#11758198C2414yes—
752#11758198C2414yes—
753#11758198C2414yes—
754#11758198C2414yes—
755#11758198C2414yes—
756#11758198C2414yes—
757#11758198C2414yes—
758#11758198C2414yes—
759#11758198C2414yes—
760C4⋊Dic61C2414yes—
761C4⋊Dic61C2414yes—
762C4⋊Dic61C2414yes—
763C4⋊Dic61C2414yes—
764#11758196C2414yes—
765#11758196C2414yes—
766#11758196C2414yes—
767#11758196C2414yes—
768#11758196C2414yes—
769#11758196C2414yes—
770#11758196C2414yes—
771#11758196C2414yes—
772#11758196C2414yes—
773#11758196C2414yes—
774#11758196C2414yes—
775#11758196C2414yes—
776#11758196C2414yes—
777#11758196C2414yes—
778#11758196C2414yes—
779#11758196C2414yes—
780C4×Dic61C2414yes—
781C4×Dic61C2414yes—
782C4×Dic61C2414yes—
783C4×Dic61C2414yes—
784C4×Dic61C2414yes—
785C4×Dic61C2414yes—
786C4×Dic61C2414yes—
787C4×Dic61C2414yes—
788C4×Dic61C2414yes—
789C4×Dic61C2414yes—
790C23×C61—22no—
791C23×C61—22no—
792C23×C61—22no—
793C23×C61—22no—
794C23×C61—22no—
795C23×C61—22no—
796C23×C61—22no—
797C23×C61—22no—
798C23×C61—22no—
799C23×C61C2512yes—
800C23×C61C2512yes—
801C23×C61C2512yes—
802C23×C61C2511yescharacteristic
803C22×D61—22no—
804C22×D61—22no—
805C22×D61—22no—
806C22×D61—22no—
807C22×D61—22no—
808C22×D61—22no—
809C22×D61—22no—
810C22×D61—22no—
811C22×D61—22no—
812C22×D61—22no—
813C22×D61—22no—
814C22×D61—22no—
815C22×D61—22no—
816C22×D61—22no—
817C22×D61—22no—
818C22×D61—22no—
819C22×D61—22no—
820C22×D61—22no—
821C22×D61—44no—
822C22×D61—44no—
823C22×D61—44no—
824C22×D61—44no—
825C22×D61—44no—
826C22×D61—44no—
827C22×D61—44no—
828C22×D61—44no—
829C22×D61—44no—
830C22×D61—416no—
831C22×D61—88no—
832C22×D61—88no—
833C22×D61C2512yes—
834C22×D61C2512yes—
835C22×D61C2512yes—
836C22×D61C2512yes—
837C22×D61C2512yes—
838C22×D61C2512yes—
839Q8×C61—44no—
840Q8×C61—44no—
841Q8×C61—44no—
842D4×C61—44no—
843D4×C61—44no—
844D4×C61—44no—
845C2×C4×C61—22no—
846C2×C4×C61—22no—
847C2×C4×C61—22no—
848C2×C4×C61—22no—
849C2×C4×C61—22no—
850C2×C4×C61—22no—
851C2×C4×C61—22no—
852C2×C4×C61—22no—
853C2×C4×C61—22no—
854C2×C4×C61—22no—
855C2×C4×C61—22no—
856C2×C4×C61—22no—
857C2×C4×C61—44no—
858C2×C4×C61—44no—
859C2×C4×C61—44no—
860C2×C4×C61C2512yes—
861C2×C4×C61C2512yes—
862C2×C4×C61C2512yes—
863C2×C4×C61C2512yes—
864C2×C4×C61C2512yes—
865C2×C4×C61C2512yes—
866C2×C4×C61C2512yes—
867C2×C4×C61C2512yes—
868C2×C4×C61C2512yes—
869C2×C4×C61C2512yes—
870C2×C4×C61C2512yes—
871C2×C4×C61C2512yes—
872C22⋊D61—28no—
873C22⋊D61—28no—
874C22⋊D61—44no—
875C22⋊D61—44no—
876C22⋊D61—44no—
877C22⋊D61—44no—
878C22⋊D61—44no—
879C22⋊D61—44no—
880C22⋊D61—44no—
881C22⋊D61—44no—
882C22⋊D61—44no—
883C22⋊D61—44no—
884C2×Dic61—22no—
885C2×Dic61—22no—
886C2×Dic61—22no—
887C2×Dic61—22no—
888C2×Dic61—22no—
889C2×Dic61—22no—
890C2×Dic61—22no—
891C2×Dic61—22no—
892C2×Dic61—22no—
893C2×Dic61—28no—
894C2×Dic61—44no—
895C2×Dic61—44no—
896C2×Dic61H(5,𝔽2)14yes—
897C2×Dic61C2512yes—
898C2×Dic61C2512yes—
899C2×Dic61C2512yes—
900C2×Dic61C2512yes—
901C2×Dic61C2512yes—
902C2×Dic61C2512yes—
903C2×Dic61C2512yes—
904C2×Dic61C2512yes—
905C2×Dic61C2512yes—
906C2×Dic61C2512yes—
907D244—44no—
908D244—44no—
909D244—44no—
910D244—44no—
911D244—44no—
912D244—44no—
913D244—44no—
914D244—44no—
915D244—44no—
916D244—44no—
917D244—44no—
918D244—44no—
919C4×D61—28no—
920C4×D61—28no—
921C4×D61—28no—
922C4×D61—28no—
923C4×D61—44no—
924C4×D61—44no—
925C4×D61—44no—
926C4×D61—44no—
927C4×D61—44no—
928C4×D61—44no—
929C4×D61—44no—
930C4×D61—44no—
931Dic122—28no—
932Dic122—28no—
933Dic122—44no—
934Dic122—44no—
935Dic122—44no—
936Dic122—44no—
937C2×#3540—611nomaximal, Sylow
938C22×C61—22no—
939C22×C61—22no—
940C22×C61—22no—
941C22×C61—22no—
942C22×C61—22no—
943C22×C61—22no—
944C22×C61—22no—
945C22×C61—22no—
946C22×C61—22no—
947C22×C61—44no—
948C22×C61—44no—
949C22×C61—44no—
950C22×C61C2×H(5,𝔽2)12yes—
951C22×C61#58512yes—
952C22×C61#58512yes—
953C22×C61C2611yescharacteristic
954C2×D61—22no—
955C2×D61—22no—
956C2×D61—22no—
957C2×D61—22no—
958C2×D61—22no—
959C2×D61—22no—
960C2×D61—22no—
961C2×D61—22no—
962C2×D61—22no—
963C2×D61—22no—
964C2×D61—22no—
965C2×D61—22no—
966C2×D61—22no—
967C2×D61—22no—
968C2×D61—22no—
969C2×D61—22no—
970C2×D61—22no—
971C2×D61—22no—
972C2×D61—416no—
973C2×D61—44no—
974C2×D61—44no—
975C2×D61—44no—
976C2×D61—44no—
977C2×D61—44no—
978C2×D61—44no—
979C2×D61—88no—
980C2×D61—88no—
981C4×C61—22no—
982C4×C61—22no—
983C4×C61—22no—
984C4×C61—22no—
985C4×C61—22no—
986C4×C61—22no—
987C4×C61—22no—
988C4×C61—22no—
989C4×C61—22no—
990C4×C61—22no—
991C4×C61—22no—
992C4×C61—22no—
993Dic61—22no—
994Dic61—22no—
995Dic61—22no—
996Dic61—22no—
997Dic61—22no—
998Dic61—22no—
999Dic61—22no—
1000Dic61—22no—
1001Dic61—22no—
1002Dic61C2×H(5,𝔽2)14yes—
1003#3540—6132no—
1004C2×H(3,𝔽4)—611no—
1005C2×H(3,𝔽4)—611no—
1006C2×#560—611no—
1007C2×#560—611no—
1008C2×#559—611no—
1009C2×#559—611no—
1010C2×#556—611no—
1011C2×#556—611no—
1012C2×#555—611no—
1013C2×#555—611no—
1014C2×#551—611no—
1015C2×#551—611no—
1016C2×#548—611no—
1017C2×#548—611no—
1018C2×#546—611no—
1019C2×#546—611no—
1020C2×#542—611no—
1021C2×#542—611no—
1022C2×#542—611no—
1023C2×#542—611no—
1024C2×#542—611no—
1025C2×#542D6111yescharacteristic, complemented
1026C2×#538—611no—
1027C2×#538—611no—
1028C2×#538—611no—
1029C2×#538—611no—
1030C2×#536—611no—
1031C2×#535—611no—
1032C2×#525—611no—
1033C2×#525—611no—
1034C2×#525—611no—
1035C2×C61—42no—
1036C2×C61—42no—
1037C2×C61—42no—
1038C2×C61#354014yescomplemented
1039C2×C61C22×H(5,𝔽2)11yescharacteristic
1040C2×C61C2×#58511yescharacteristic
1041C2×C61C2×#58511yescharacteristic
1042D61—42no—
1043D61—42no—
1044D61—42no—
1045D61—42no—
1046D61—42no—
1047D61—42no—
1048C22×#41—611no—
1049C22×#41—611no—
1050C22×#41—611no—
1051C23×Q8—611no—
1052C23×D4—611no—
1053C24×C4—611no—
1054H(3,𝔽4)—6116no—
1055H(3,𝔽4)—6116no—
1056#560—6116no—
1057#560—6116no—
1058#559—6116no—
1059#559—6116no—
1060#556—6116no—
1061#556—6116no—
1062#555—6116no—
1063#555—6116no—
1064#551—6116no—
1065#551—6116no—
1066#548—6116no—
1067#548—6116no—
1068#546—6116no—
1069#546—6116no—
1070#542—6116no—
1071#542—6116no—
1072#542—6116no—
1073#542—6116no—
1074#542—6116no—
1075#542C2×D61116yescomplemented
1076#538—6116no—
1077#538—6116no—
1078#538—6116no—
1079#538—6116no—
1080#536—6116no—
1081#535—6116no—
1082C2×C4⋊Q8—611no—
1083C2×C4⋊Q8—611no—
1084C2×C4⋊Q8—611no—
1085C2×C4⋊Q8C2×D6111yescharacteristic, complemented
1086C2×#127—611no—
1087C2×#127—611no—
1088C2×#126—611no—
1089C2×#126—611no—
1090C2×#126—611no—
1091C2×#126—611no—
1092C2×#126—611no—
1093C2×#126—611no—
1094C2×#126—611no—
1095C2×#126—611no—
1096C2×#126—611no—
1097C2×#126—611no—
1098C2×#126C2×D6111yescharacteristic, complemented
1099C2×#126C2×D6111yescharacteristic, complemented
1100C2×#124—611no—
1101C2×#124—611no—
1102C2×#124—611no—
1103C2×#124—611no—
1104C2×#124—611no—
1105C2×#124—611no—
1106C2×#124—611no—
1107C2×#124—611no—
1108C2×#124—611no—
1109C2×#124—611no—
1110C2×#124—611no—
1111C2×#124—611no—
1112C2×#124—611no—
1113C2×#124—611no—
1114C2×#124—611no—
1115C2×#124—611no—
1116C2×#124—611no—
1117C2×#124—611no—
1118C2×#124—611no—
1119C2×#124—611no—
1120C2×#124—611no—
1121C2×#124—611no—
1122C2×#124—611no—
1123C2×#124C2×D6111yescharacteristic, complemented
1124C2×#124C2×D6111yescharacteristic, complemented
1125C2×#124C2×D6111yescharacteristic, complemented
1126#525—6116no—
1127#525—6116no—
1128#525—6116no—
1129C2×#123—611no—
1130C2×#123—611no—
1131C2×#123—611no—
1132C2×#123—611no—
1133C2×#123—611no—
1134C2×#123—611no—
1135C2×#123—611no—
1136C2×#123—611no—
1137C2×#123—611no—
1138C2×#123—611no—
1139C2×#123—611no—
1140C2×#123—611no—
1141C2×#123—611no—
1142C2×#123—611no—
1143C2×#123—611no—
1144C2×#123—611no—
1145C2×#123C2×D6111yescharacteristic, complemented
1146C2×#123C2×D6111yescharacteristic, complemented
1147C2×C22⋊Q8—611no—
1148C2×C22⋊Q8—611no—
1149C2×C22⋊Q8—611no—
1150C2×C22⋊Q8—611no—
1151C2×C22⋊Q8—611no—
1152C2×C22⋊Q8—611no—
1153C2×C22⋊Q8—611no—
1154C2×C22⋊Q8—611no—
1155C2×C22⋊Q8—611no—
1156C2×C22⋊Q8—611no—
1157C2×C22⋊Q8—611no—
1158C2×C22⋊Q8—611no—
1159C2×C22⋊Q8—611no—
1160C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1161C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1162C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1163C2×#121—611no—
1164C2×#121—611no—
1165C2×#121—611no—
1166C2×#121—611no—
1167C2×#121—611no—
1168C2×#121—611no—
1169C2×#121—611no—
1170C2×#121—611no—
1171C2×#121—611no—
1172C2×#121—611no—
1173C2×#121—611no—
1174C2×#121—611no—
1175C2×#121—611no—
1176C2×#121—611no—
1177C2×#121—611no—
1178C2×#121—611no—
1179C2×#121—611no—
1180C2×#121—611no—
1181C2×#121—611no—
1182C2×#121C2×D6111yescharacteristic
1183C2×#120—611no—
1184C2×#120—611no—
1185C2×#120—611no—
1186C2×#120—611no—
1187C2×#120—611no—
1188C2×#120—611no—
1189C2×#120—611no—
1190C2×#120—611no—
1191C2×#120—611no—
1192C2×#120—611no—
1193C2×#120—611no—
1194C2×#120—611no—
1195C2×#120—611no—
1196C2×#120—611no—
1197C2×C4×Q8—611no—
1198C2×C4×Q8—611no—
1199C2×C4×Q8—611no—
1200C2×C4×Q8—611no—
1201C2×C4×Q8—611no—
1202C2×C4×Q8C2×D6111yescharacteristic, complemented
1203C2×C4×D4—611no—
1204C2×C4×D4—611no—
1205C2×C4×D4—611no—
1206C2×C4×D4—611no—
1207C2×C4×D4—611no—
1208C2×C4×D4—611no—
1209C2×C4×D4—611no—
1210C2×C4×D4—611no—
1211C2×C4×D4—611no—
1212C2×C4×D4—611no—
1213C2×C4×D4—611no—
1214C2×C4×D4—611no—
1215C2×C4×D4—611no—
1216C2×C4×D4—611no—
1217C2×C4×D4—611no—
1218C2×C4×D4—611no—
1219C2×C4×D4—611no—
1220C2×C4×D4C2×D6111yescharacteristic, complemented
1221C2×#117—611no—
1222C2×#117—611no—
1223C2×#117—611no—
1224C2×#117—611no—
1225C2×#117—611no—
1226C2×#117—611no—
1227C2×#117—611no—
1228C2×#117—611no—
1229C2×#117C2×D6111yescharacteristic, complemented
1230C22×C22⋊C4—611no—
1231C22×C22⋊C4—611no—
1232C22×C22⋊C4—611no—
1233C22×C22⋊C4—611no—
1234C61C2×#354011yescharacteristic, complemented, Sylow
1235C25—611no—
1236C25—611no—
1237C25—611no—
1238C2×#41—618no—
1239C2×#41—618no—
1240C2×#41—618no—
1241C2×#41—2444no—
1242C2×#41—2444no—
1243C2×#41—2444no—
1244C22×Q8—618no—
1245C22×Q8—611no—
1246C22×Q8—611no—
1247C22×Q8—611no—
1248C22×Q8—611no—
1249C22×Q8—611no—
1250C22×Q8—611no—
1251C22×Q8—2444no—
1252C22×Q8C22×D6111yescharacteristic
1253C22×Q8C22×D6111yescharacteristic
1254C22×Q8C22×D6111yescharacteristic
1255C22×D4—611no—
1256C22×D4—611no—
1257C22×D4—611no—
1258C22×D4—611no—
1259C22×D4—611no—
1260C22×D4—611no—
1261C22×D4—611no—
1262C22×D4—611no—
1263C22×D4—611no—
1264C22×D4—611no—
1265C22×D4—611no—
1266C22×D4—611no—
1267C22×D4—618no—
1268C22×D4—611no—
1269C22×D4—611no—
1270C22×D4—611no—
1271C22×D4—611no—
1272C22×D4—611no—
1273C22×D4—611no—
1274C22×D4—611no—
1275C22×D4—611no—
1276C22×D4—611no—
1277C22×D4—611no—
1278C22×D4—611no—
1279C22×D4—611no—
1280C22×D4—2444no—
1281C22×D4C22×D6111yescharacteristic
1282C22×D4C22×D6111yescharacteristic
1283C22×D4C22×D6111yescharacteristic
1284C23×C4—611no—
1285C23×C4—611no—
1286C23×C4—611no—
1287C23×C4—611no—
1288C23×C4—611no—
1289C23×C4—611no—
1290C23×C4—611no—
1291C23×C4—611no—
1292C23×C4—611no—
1293C23×C4—611no—
1294C23×C4—611no—
1295C23×C4—611no—
1296C23×C4—611no—
1297C23×C4—611no—
1298C23×C4—611no—
1299C23×C4—618no—
1300C23×C4—2444no—
1301C23×C4C22×D6111yescharacteristic
1302C23×C4C22×D6111yescharacteristic
1303C23×C4C22×D6111yescharacteristic
1304C4⋊Q8—618no—
1305C4⋊Q8—618no—
1306C4⋊Q8—618no—
1307C4⋊Q8C22×D6118yescomplemented
1308#127—618no—
1309#127—618no—
1310#126—618no—
1311#126—618no—
1312#126—618no—
1313#126—618no—
1314#126—618no—
1315#126—618no—
1316#126—618no—
1317#126—618no—
1318#126—618no—
1319#126—618no—
1320#126C22×D6118yescomplemented
1321#126C22×D6118yescomplemented
1322#124—618no—
1323#124—618no—
1324#124—618no—
1325#124—618no—
1326#124—618no—
1327#124—618no—
1328#124—618no—
1329#124—618no—
1330#124—618no—
1331#124—618no—
1332#124—618no—
1333#124—618no—
1334#124—618no—
1335#124—618no—
1336#124—618no—
1337#124—618no—
1338#124—618no—
1339#124—618no—
1340#124—618no—
1341#124—618no—
1342#124—618no—
1343#124—618no—
1344#124—618no—
1345#124C22×D6118yescomplemented
1346#124C22×D6118yescomplemented
1347#124C22×D6118yescomplemented
1348#123—618no—
1349#123—618no—
1350#123—618no—
1351#123—618no—
1352#123—618no—
1353#123—618no—
1354#123—618no—
1355#123—618no—
1356#123—618no—
1357#123—618no—
1358#123—618no—
1359#123—618no—
1360#123—618no—
1361#123—618no—
1362#123—618no—
1363#123—618no—
1364#123C22×D6118yescomplemented
1365#123C22×D6118yescomplemented
1366C22⋊Q8—618no—
1367C22⋊Q8—618no—
1368C22⋊Q8—618no—
1369C22⋊Q8—618no—
1370C22⋊Q8—618no—
1371C22⋊Q8—618no—
1372C22⋊Q8—618no—
1373C22⋊Q8—618no—
1374C22⋊Q8—618no—
1375C22⋊Q8—618no—
1376C22⋊Q8—618no—
1377C22⋊Q8—618no—
1378C22⋊Q8—618no—
1379C22⋊Q8C22×D6118yescomplemented
1380C22⋊Q8C22×D6118yescomplemented
1381C22⋊Q8C22×D6118yescomplemented
1382#121—618no—
1383#121—618no—
1384#121—618no—
1385#121—618no—
1386#121—618no—
1387#121—618no—
1388#121—618no—
1389#121—618no—
1390#121—618no—
1391#121—618no—
1392#121—618no—
1393#121—618no—
1394#121—618no—
1395#121—618no—
1396#121—618no—
1397#121—618no—
1398#121—618no—
1399#121—618no—
1400#121—618no—
1401#121C22×D6118yes—
1402#120—618no—
1403#120—618no—
1404#120—618no—
1405#120—618no—
1406#120—618no—
1407#120—618no—
1408#120—618no—
1409#120—618no—
1410#120—618no—
1411#120—618no—
1412#120—618no—
1413#120—618no—
1414#120—618no—
1415#120—618no—
1416C4×Q8—618no—
1417C4×Q8—618no—
1418C4×Q8—618no—
1419C4×Q8—618no—
1420C4×Q8—618no—
1421C4×Q8C22×D6118yescomplemented
1422C4×D4—618no—
1423C4×D4—618no—
1424C4×D4—618no—
1425C4×D4—618no—
1426C4×D4—618no—
1427C4×D4—618no—
1428C4×D4—618no—
1429C4×D4—618no—
1430C4×D4—618no—
1431C4×D4—618no—
1432C4×D4—618no—
1433C4×D4—618no—
1434C4×D4—618no—
1435C4×D4—618no—
1436C4×D4—618no—
1437C4×D4—618no—
1438C4×D4—618no—
1439C4×D4C22×D6118yescomplemented
1440#117—618no—
1441#117—618no—
1442#117—618no—
1443#117—618no—
1444#117—618no—
1445#117—618no—
1446#117—618no—
1447#117—618no—
1448#117C22×D6118yescomplemented
1449C2×C4⋊C4—611no—
1450C2×C4⋊C4—611no—
1451C2×C4⋊C4—611no—
1452C2×C4⋊C4—611no—
1453C2×C4⋊C4—611no—
1454C2×C4⋊C4—611no—
1455C2×C4⋊C4—611no—
1456C2×C4⋊C4—611no—
1457C2×C4⋊C4—611no—
1458C2×C4⋊C4—611no—
1459C2×C4⋊C4—611no—
1460C2×C4⋊C4—611no—
1461C2×C4⋊C4—611no—
1462C2×C4⋊C4—611no—
1463C2×C4⋊C4—611no—
1464C2×C4⋊C4—611no—
1465C2×C4⋊C4—611no—
1466C2×C4⋊C4—611no—
1467C2×C4⋊C4—611no—
1468C2×C4⋊C4—611no—
1469C2×C4⋊C4C22×D6111yescharacteristic
1470C2×C4⋊C4C22×D6111yescharacteristic
1471C2×C4⋊C4C22×D6111yescharacteristic
1472C2×C4⋊C4C22×D6111yescharacteristic
1473C2×C4⋊C4C22×D6111yescharacteristic
1474C2×C4⋊C4C22×D6111yescharacteristic
1475C2×C4⋊C4C22×D6111yescharacteristic
1476C2×C4⋊C4C22×D6111yescharacteristic
1477C2×C4⋊C4C22×D6111yescharacteristic
1478C2×C4⋊C4C22×D6111yescharacteristic
1479C2×C22⋊C4—611no—
1480C2×C22⋊C4—611no—
1481C2×C22⋊C4—611no—
1482C2×C22⋊C4—611no—
1483C2×C22⋊C4—611no—
1484C2×C22⋊C4—611no—
1485C2×C22⋊C4—611no—
1486C2×C22⋊C4—611no—
1487C2×C22⋊C4—611no—
1488C2×C22⋊C4—611no—
1489C2×C22⋊C4—611no—
1490C2×C22⋊C4—611no—
1491C2×C22⋊C4—611no—
1492C2×C22⋊C4—611no—
1493C2×C22⋊C4—611no—
1494C2×C22⋊C4—611no—
1495C2×C22⋊C4—618no—
1496C2×C22⋊C4—618no—
1497C2×C22⋊C4—611no—
1498C2×C22⋊C4—611no—
1499C2×C22⋊C4—611no—
1500C2×C22⋊C4—611no—
1501C2×C22⋊C4—611no—
1502C2×C22⋊C4—611no—
1503C2×C22⋊C4—611no—
1504C2×C22⋊C4—611no—
1505C2×C22⋊C4—611no—
1506C2×C22⋊C4—611no—
1507C2×C22⋊C4—611no—
1508C2×C22⋊C4—611no—
1509C2×C22⋊C4—611no—
1510C2×C22⋊C4—611no—
1511C2×C22⋊C4—611no—
1512C2×C22⋊C4—611no—
1513C2×C22⋊C4—611no—
1514C2×C22⋊C4—611no—
1515C2×C22⋊C4—611no—
1516C2×C22⋊C4—611no—
1517C2×C22⋊C4—611no—
1518C2×C22⋊C4—611no—
1519C2×C22⋊C4—611no—
1520C2×C22⋊C4—611no—
1521C2×C22⋊C4—611no—
1522C2×C22⋊C4—611no—
1523C2×C22⋊C4—618no—
1524C2×C22⋊C4—618no—
1525C2×C22⋊C4C22×D6111yescharacteristic
1526C2×C22⋊C4C22×D6111yescharacteristic
1527C2×C22⋊C4C22×D6111yescharacteristic
1528C2×C22⋊C4C22×D6111yescharacteristic
1529C2×C22⋊C4C22×D6111yescharacteristic
1530C2×C22⋊C4C22×D6111yescharacteristic
1531C2×C22⋊C4C22×D6111yescharacteristic
1532C2×C22⋊C4C22×D6111yescharacteristic
1533C2×C22⋊C4C22×D6111yescharacteristic
1534C2×C22⋊C4C22×D6111yescharacteristic
1535C2×C22⋊C4C22×D6111yescharacteristic
1536C2×C22⋊C4C22×D6111yescharacteristic
1537C2×C42—611no—
1538C2×C42—611no—
1539C2×C42—611no—
1540C2×C42—611no—
1541C2×C42—611no—
1542C2×C42—611no—
1543C2×C42—611no—
1544C2×C42—611no—
1545C2×C42—611no—
1546C2×C42—611no—
1547C2×C42C22×D6111yescharacteristic
1548C2×C42C22×D6111yescharacteristic
1549C2×C42C22×D6111yescharacteristic
1550C2×C42C22×D6111yescharacteristic
1551C24—611no—
1552C24—611no—
1553C24—611no—
1554C24—611no—
1555C24—611no—
1556C24—611no—
1557C24—614no—
1558C24—614no—
1559C24—614no—
1560C24—2442no—
1561C24—2442no—
1562C24—2442no—
1563C24—2442no—
1564C24—2442no—
1565C24—2442no—
1566C24—2442no—
1567C24—2442no—
1568C24—2442no—
1569C24C23×D6111yescharacteristic
1570C24C23×D6111yescharacteristic
1571C24C23×D6111yescharacteristic
1572#41—24416no—
1573#41—24416no—
1574#41—24416no—
1575C2×Q8—42no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—614no—
1579C2×Q8—614no—
1580C2×Q8—614no—
1581C2×Q8—614no—
1582C2×Q8—614no—
1583C2×Q8—614no—
1584C2×Q8—1224no—
1585C2×Q8—1224no—
1586C2×Q8—2442no—
1587C2×Q8—2442no—
1588C2×Q8—2442no—
1589C2×Q8—2442no—
1590C2×Q8—24416no—
1591C2×Q8C23×D6114yes—
1592C2×Q8C23×D6114yes—
1593C2×Q8C23×D6114yes—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—614no—
1598C2×D4—614no—
1599C2×D4—614no—
1600C2×D4—614no—
1601C2×D4—614no—
1602C2×D4—614no—
1603C2×D4—614no—
1604C2×D4—614no—
1605C2×D4—614no—
1606C2×D4—614no—
1607C2×D4—614no—
1608C2×D4—614no—
1609C2×D4—614no—
1610C2×D4—614no—
1611C2×D4—614no—
1612C2×D4—614no—
1613C2×D4—614no—
1614C2×D4—614no—
1615C2×D4—614no—
1616C2×D4—614no—
1617C2×D4—614no—
1618C2×D4—614no—
1619C2×D4—614no—
1620C2×D4—614no—
1621C2×D4—1224no—
1622C2×D4—1224no—
1623C2×D4—2442no—
1624C2×D4—2442no—
1625C2×D4—2442no—
1626C2×D4—2442no—
1627C2×D4—2442no—
1628C2×D4—2442no—
1629C2×D4—2442no—
1630C2×D4—2442no—
1631C2×D4—2442no—
1632C2×D4—2442no—
1633C2×D4—2442no—
1634C2×D4—2442no—
1635C2×D4—24416no—
1636C2×D4—2442no—
1637C2×D4—2442no—
1638C2×D4—2442no—
1639C2×D4—2442no—
1640C2×D4—2442no—
1641C2×D4—2442no—
1642C2×D4—2442no—
1643C2×D4—2442no—
1644C2×D4—2442no—
1645C2×D4—2442no—
1646C2×D4C23×D6114yes—
1647C2×D4C23×D6114yes—
1648C2×D4C23×D6114yes—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—611no—
1653C22×C4—614no—
1654C22×C4—611no—
1655C22×C4—611no—
1656C22×C4—611no—
1657C22×C4—611no—
1658C22×C4—611no—
1659C22×C4—611no—
1660C22×C4—611no—
1661C22×C4—611no—
1662C22×C4—611no—
1663C22×C4—614no—
1664C22×C4—614no—
1665C22×C4—614no—
1666C22×C4—614no—
1667C22×C4—614no—
1668C22×C4—614no—
1669C22×C4—614no—
1670C22×C4—614no—
1671C22×C4—614no—
1672C22×C4—614no—
1673C22×C4—614no—
1674C22×C4—614no—
1675C22×C4—614no—
1676C22×C4—614no—
1677C22×C4—1224no—
1678C22×C4—1224no—
1679C22×C4—1224no—
1680C22×C4—1224no—
1681C22×C4—1224no—
1682C22×C4—2442no—
1683C22×C4—2442no—
1684C22×C4—2442no—
1685C22×C4—2442no—
1686C22×C4—2442no—
1687C22×C4—2442no—
1688C22×C4—2442no—
1689C22×C4—2442no—
1690C22×C4—24416no—
1691C22×C4—2442no—
1692C22×C4—2442no—
1693C22×C4C23×D6111yescharacteristic
1694C22×C4C23×D6111yescharacteristic
1695C22×C4C23×D6111yescharacteristic
1696C22×C4C23×D6111yescharacteristic
1697C22×C4C23×D6111yescharacteristic
1698C22×C4C23×D6111yescharacteristic
1699C22×C4C23×D6111yescharacteristic
1700C22×C4C23×D6111yescharacteristic
1701C22×C4C23×D6111yescharacteristic
1702C22×C4C23×D6111yescharacteristic
1703C22×C4C23×D6111yescharacteristic
1704C22×C4C23×D6111yescharacteristic
1705C22×C4C23×D6114yes—
1706C22×C4C23×D6114yes—
1707C22×C4C23×D6114yes—
1708C4⋊C4—614no—
1709C4⋊C4—614no—
1710C4⋊C4—614no—
1711C4⋊C4—614no—
1712C4⋊C4—614no—
1713C4⋊C4—614no—
1714C4⋊C4—614no—
1715C4⋊C4—614no—
1716C4⋊C4—614no—
1717C4⋊C4—614no—
1718C4⋊C4—614no—
1719C4⋊C4—614no—
1720C4⋊C4—614no—
1721C4⋊C4—614no—
1722C4⋊C4—614no—
1723C4⋊C4—614no—
1724C4⋊C4—614no—
1725C4⋊C4—614no—
1726C4⋊C4—614no—
1727C4⋊C4—614no—
1728C4⋊C4C23×D6114yes—
1729C4⋊C4C23×D6114yes—
1730C4⋊C4C23×D6114yes—
1731C4⋊C4C23×D6114yes—
1732C4⋊C4C23×D6114yes—
1733C4⋊C4C23×D6114yes—
1734C4⋊C4C23×D6114yes—
1735C4⋊C4C23×D6114yes—
1736C4⋊C4C23×D6114yes—
1737C4⋊C4C23×D6114yes—
1738C22⋊C4—614no—
1739C22⋊C4—614no—
1740C22⋊C4—614no—
1741C22⋊C4—614no—
1742C22⋊C4—614no—
1743C22⋊C4—614no—
1744C22⋊C4—614no—
1745C22⋊C4—614no—
1746C22⋊C4—614no—
1747C22⋊C4—614no—
1748C22⋊C4—614no—
1749C22⋊C4—614no—
1750C22⋊C4—614no—
1751C22⋊C4—614no—
1752C22⋊C4—614no—
1753C22⋊C4—614no—
1754C22⋊C4—614no—
1755C22⋊C4—614no—
1756C22⋊C4—614no—
1757C22⋊C4—614no—
1758C22⋊C4—614no—
1759C22⋊C4—614no—
1760C22⋊C4—614no—
1761C22⋊C4—614no—
1762C22⋊C4—614no—
1763C22⋊C4—614no—
1764C22⋊C4—614no—
1765C22⋊C4—614no—
1766C22⋊C4—614no—
1767C22⋊C4—614no—
1768C22⋊C4—614no—
1769C22⋊C4—614no—
1770C22⋊C4—614no—
1771C22⋊C4—614no—
1772C22⋊C4—614no—
1773C22⋊C4—614no—
1774C22⋊C4—614no—
1775C22⋊C4—614no—
1776C22⋊C4—614no—
1777C22⋊C4—614no—
1778C22⋊C4—614no—
1779C22⋊C4—614no—
1780C22⋊C4C23×D6114yes—
1781C22⋊C4C23×D6114yes—
1782C22⋊C4C23×D6114yes—
1783C22⋊C4C23×D6114yes—
1784C22⋊C4C23×D6114yes—
1785C22⋊C4C23×D6114yes—
1786C22⋊C4C23×D6114yes—
1787C22⋊C4C23×D6114yes—
1788C22⋊C4C23×D6114yes—
1789C22⋊C4C23×D6114yes—
1790C22⋊C4C23×D6114yes—
1791C22⋊C4C23×D6114yes—
1792C42—614no—
1793C42—614no—
1794C42—614no—
1795C42—614no—
1796C42—614no—
1797C42—614no—
1798C42—614no—
1799C42—614no—
1800C42—614no—
1801C42—614no—
1802C42C23×D6114yes—
1803C42C23×D6114yes—
1804C42C23×D6114yes—
1805C42C23×D6114yes—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—612no—
1816C23—612no—
1817C23—612no—
1818C23—612no—
1819C23—612no—
1820C23—612no—
1821C23—1222no—
1822C23—1222no—
1823C23—1222no—
1824C23—1222no—
1825C23—1222no—
1826C23—1222no—
1827C23—1222no—
1828C23—1222no—
1829C23—1222no—
1830C23—1222no—
1831C23—1222no—
1832C23—1222no—
1833C23—1222no—
1834C23—1222no—
1835C23—1222no—
1836C23—1222no—
1837C23—1222no—
1838C23—1222no—
1839C23—4888no—
1840C23—4888no—
1841C23—2444no—
1842C23—2444no—
1843C23—2444no—
1844C23—2444no—
1845C23—2444no—
1846C23—2444no—
1847C23—2444no—
1848C23—2444no—
1849C23—2444no—
1850C23—24416no—
1851C23C24×D6112yes—
1852C23C24×D6112yes—
1853C23C24×D6112yes—
1854C23C24×D6111yescharacteristic
1855Q8—44no—
1856Q8—44no—
1857Q8—44no—
1858Q8—1228no—
1859Q8—1228no—
1860Q8—2444no—
1861Q8—2444no—
1862Q8—2444no—
1863Q8—2444no—
1864D4—44no—
1865D4—44no—
1866D4—44no—
1867D4—1228no—
1868D4—1228no—
1869D4—2444no—
1870D4—2444no—
1871D4—2444no—
1872D4—2444no—
1873D4—2444no—
1874D4—2444no—
1875D4—2444no—
1876D4—2444no—
1877D4—2444no—
1878D4—2444no—
1879D4—2444no—
1880D4—2444no—
1881D4—2444no—
1882D4—2444no—
1883D4—2444no—
1884D4—2444no—
1885D4—2444no—
1886D4—2444no—
1887D4—2444no—
1888D4—2444no—
1889D4—2444no—
1890D4—2444no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—44no—
1904C2×C4—44no—
1905C2×C4—44no—
1906C2×C4—614no—
1907C2×C4—612no—
1908C2×C4—612no—
1909C2×C4—612no—
1910C2×C4—612no—
1911C2×C4—612no—
1912C2×C4—612no—
1913C2×C4—612no—
1914C2×C4—612no—
1915C2×C4—612no—
1916C2×C4—612no—
1917C2×C4—1228no—
1918C2×C4—1228no—
1919C2×C4—1228no—
1920C2×C4—1228no—
1921C2×C4—1228no—
1922C2×C4—1222no—
1923C2×C4—1222no—
1924C2×C4—1222no—
1925C2×C4—1222no—
1926C2×C4—1222no—
1927C2×C4—1222no—
1928C2×C4—1222no—
1929C2×C4—1222no—
1930C2×C4—1222no—
1931C2×C4—2444no—
1932C2×C4—2444no—
1933C2×C4—2444no—
1934C2×C4—2444no—
1935C2×C4—2444no—
1936C2×C4—2444no—
1937C2×C4—2444no—
1938C2×C4—2444no—
1939C2×C4—2444no—
1940C2×C4—2444no—
1941C2×C4C24×D6112yes—
1942C2×C4C24×D6112yes—
1943C2×C4C24×D6112yes—
1944C2×C4C24×D6112yes—
1945C2×C4C24×D6112yes—
1946C2×C4C24×D6112yes—
1947C2×C4C24×D6112yes—
1948C2×C4C24×D6112yes—
1949C2×C4C24×D6112yes—
1950C2×C4C24×D6112yes—
1951C2×C4C24×D6112yes—
1952C2×C4C24×D6112yes—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—44no—
1963C22—44no—
1964C22—44no—
1965C22—1222no—
1966C22—1222no—
1967C22—1222no—
1968C22—1222no—
1969C22—1222no—
1970C22—1222no—
1971C22—1222no—
1972C22—1222no—
1973C22—1222no—
1974C22—1222no—
1975C22—1222no—
1976C22—1222no—
1977C22—1222no—
1978C22—1222no—
1979C22—1222no—
1980C22—1222no—
1981C22—1222no—
1982C22—1222no—
1983C22—4888no—
1984C22—4888no—
1985C22—24416no—
1986C22—2444no—
1987C22—2444no—
1988C22—2444no—
1989C22—2444no—
1990C22—2444no—
1991C22—2444no—
1992C22H(5,𝔽2)×D6112yes—
1993C22#1684059812yes—
1994C22#1684059912yes—
1995C22C25×D6111yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—22no—
2008C4—614no—
2009C4—1222no—
2010C4—1222no—
2011C4—1222no—
2012C4—1222no—
2013C4—1222no—
2014C4—1222no—
2015C4—1222no—
2016C4—1222no—
2017C4—1222no—
2018C2—42no—
2019C2—42no—
2020C2—42no—
2021C2—2442no—
2022C2—2442no—
2023C2—2442no—
2024C2—2442no—
2025C2—2442no—
2026C2—2442no—
2027C2#2146008414yesdirect product factor
2028C2C2×H(5,𝔽2)×D6111yescharacteristic
2029C2C2×#1684059811yescharacteristic
2030C2C2×#1684059911yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#542C2
socleC23×C61C25
hypercenterC2×#542D61
hypocenterC61C2×#3540
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. #21460084C2direct (N × H)
2. C2×#16840504C2semidirect
3. C2×#16840504C2semidirect
4. C2×#16840503C2semidirect
5. C2×#16840500C2semidirect
6. C2×#16840497C2semidirect
7. C2×#16840496C2semidirect
8. C2×#16840484C2semidirect
9. C2×#16840479C2semidirect
10. C2×#16840475C2semidirect
11. C2×#16840474C2semidirect
12. C2×#16840439C2semidirect
13. C2×#16840436C2semidirect
14. C2×#16840422C2semidirect
15. C2×#16840420C2semidirect
16. C2×#16840404C2semidirect
17. C2×#16840401C2semidirect
18. C2×#16840386C2semidirect
19. C2×#16840382C2semidirect
20. C2×#16840382C2semidirect
21. C2×#16840378C2semidirect
22. C2×#16840376C2semidirect
23. C2×#16840352C2semidirect
24. C2×#16840351C2semidirect
25. C2×#16840348C2semidirect
26. C2×#16840345C2semidirect
27. C2×#16840337C2semidirect
28. C2×#16840330C2semidirect
29. C2×#16840275C2semidirect
30. C2×#16840271C2semidirect
31. C2×#16840270C2semidirect
32. C2×C61×#542C2semidirect
36. C22×Q8×D61C22semidirect
37. C22×D4×D61C22semidirect
38. C23×C4×D61C22semidirect
39. #16840504C22semidirect
40. #16840504C22semidirect
41. #16840503C22semidirect
42. #16840500C22semidirect
43. #16840497C22semidirect
44. #16840496C22semidirect
45. #16840484C22semidirect
46. #16840479C22semidirect
47. #16840475C22semidirect
48. #16840474C22semidirect
49. #16840439C22semidirect
50. #16840436C22semidirect
51. #16840422C22semidirect
52. #16840420C22semidirect
53. #16840404C22semidirect
54. #16840401C22semidirect
55. #16840386C22semidirect
56. #16840382C22semidirect
57. #16840382C22semidirect
58. #16840378C22semidirect
59. #16840376C22semidirect
60. #16840352C22semidirect
61. #16840351C22semidirect
62. #16840348C22semidirect
63. #16840345C22semidirect
64. #16840337C22semidirect
65. #16840330C22semidirect
66. C2×#14519776C22semidirect
67. C2×#14519775C22semidirect
68. C2×#14519775C22semidirect
71. C2×#14519772C22semidirect
72. C2×#14519772C22semidirect
73. C2×#14519772C22semidirect
74. C2×#14519772C22semidirect
75. C2×#14519772C22semidirect
76. C2×#14519772C22semidirect
77. C2×#14519771C22semidirect
78. C2×#14519771C22semidirect
79. C2×#14519770C22semidirect
80. C2×#14519770C22semidirect
83. C2×#14519766C22semidirect
84. C2×#14519766C22semidirect
85. C2×#14519766C22semidirect
86. C2×#14519766C22semidirect
89. C2×#14519765C22semidirect
90. C2×#14519765C22semidirect
91. C2×#14519765C22semidirect
94. C2×#14519763C22semidirect
95. C2×#14519763C22semidirect
96. C2×#14519763C22semidirect
97. C2×#14519763C22semidirect
98. C2×#14519763C22semidirect
99. C2×#14519763C22semidirect
100. C2×#14519763C22semidirect
101. C2×#14519763C22semidirect
102. C2×#14519763C22semidirect
103. C2×#14519763C22semidirect
104. #16840275C22semidirect
105. #16840271C22semidirect
106. #16840270C22semidirect
108. C2×#14519762C22semidirect
109. C2×#14519762C22semidirect
110. C2×#14519762C22semidirect
111. C2×#14519762C22semidirect
112. C2×#14519762C22semidirect
113. C2×#14519762C22semidirect
114. C2×#14519762C22semidirect
115. C2×#14519762C22semidirect
116. C2×#14519762C22semidirect
117. C2×#14519762C22semidirect
118. C2×#14519761C22semidirect
119. C2×#14519760C22semidirect
120. C2×#14519760C22semidirect
121. C2×#14519759C22semidirect
122. C2×#14519758C22semidirect
123. C2×#14519757C22semidirect
124. C2×#14519755C22semidirect
125. C2×#14519755C22semidirect
126. C2×#14519755C22semidirect
127. C2×#14519755C22semidirect
128. C2×#14519755C22semidirect
129. C2×#14519755C22semidirect
130. C2×#14519755C22semidirect
131. C2×#14519754C22semidirect
132. C2×#14519754C22semidirect
133. C2×#14519754C22semidirect
134. C2×#14519753C22semidirect
135. C2×#14519753C22semidirect
138. C2×#14519752C22semidirect
139. C2×#14519752C22semidirect
141. C2×#14519751C22semidirect
146. C2×#14519750C22semidirect
147. C2×#14519750C22semidirect
148. C2×#14519750C22semidirect
149. C2×#14519750C22semidirect
150. C2×#14519750C22semidirect
153. C2×#14519749C22semidirect
154. C2×#14519748C22semidirect
160. C2×#14519747C22semidirect
161. C2×#14519747C22semidirect
162. C2×#14519747C22semidirect
163. C2×#14519747C22semidirect
164. C2×#14519747C22semidirect
167. C2×#14519745C22semidirect
168. C2×#14519745C22semidirect
169. C2×C4×Dic122C22semidirect
170. C2×C4×Dic122C22semidirect
171. C2×#14519742C22semidirect
172. C2×#14519742C22semidirect
173. C2×#14519742C22semidirect
174. C2×C4×D244C22semidirect
175. C2×C4×D244C22semidirect
177. C2×#14519739C22semidirect
178. C2×#14519739C22semidirect
179. C2×#14519739C22semidirect
180. C2×#14519739C22semidirect
181. C2×C4×C22⋊D61C22semidirect
182. C2×C4×C22⋊D61C22semidirect
183. C2×C4×C22⋊D61C22semidirect
184. C2×C4×C22⋊D61C22semidirect
186. C2×#14519737C22semidirect
187. C2×#14519737C22semidirect
188. C2×#14519737C22semidirect
189. C2×#14519737C22semidirect
190. C2×#14519737C22semidirect
191. C2×#14519735C22semidirect
192. C2×#14519735C22semidirect
193. C2×#14519734C22semidirect
194. C2×#14519734C22semidirect
195. C2×#14519734C22semidirect
196. C2×#14519734C22semidirect
197. C2×#14519733C22semidirect
198. C2×#14519733C22semidirect
199. C22×#11758198C22semidirect
200. C22×#11758198C22semidirect
201. C2×C22⋊C4×D61C22semidirect
202. C2×C22⋊C4×D61C22semidirect
203. C61×#542C22semidirect
204. C2×C4⋊Q8×C61C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#126×C61C22semidirect
207. C2×#124×C61C22semidirect
208. C2×#124×C61C22semidirect
209. C2×#124×C61C22semidirect
210. C2×#123×C61C22semidirect
211. C2×#123×C61C22semidirect
212. C2×C22⋊Q8×C61C22semidirect
213. C2×C22⋊Q8×C61C22semidirect
214. C2×C22⋊Q8×C61C22semidirect
216. C2×C4×Q8×C61C22semidirect
217. C2×C4×D4×C61C22semidirect
218. C2×#117×C61C22semidirect
235. C2×Q8×D61C23semidirect
261. C2×D4×D61C23semidirect
278. C22×C4×D61C23semidirect
279. #14519776C23semidirect
280. #14519775C23semidirect
281. #14519775C23semidirect
284. #14519772C23semidirect
285. #14519772C23semidirect
286. #14519772C23semidirect
287. #14519772C23semidirect
288. #14519772C23semidirect
289. #14519772C23semidirect
290. #14519771C23semidirect
291. #14519771C23semidirect
292. #14519770C23semidirect
293. #14519770C23semidirect
296. #14519766C23semidirect
297. #14519766C23semidirect
298. #14519766C23semidirect
299. #14519766C23semidirect
302. #14519765C23semidirect
303. #14519765C23semidirect
304. #14519765C23semidirect
307. #14519763C23semidirect
308. #14519763C23semidirect
309. #14519763C23semidirect
310. #14519763C23semidirect
311. #14519763C23semidirect
312. #14519763C23semidirect
313. #14519763C23semidirect
314. #14519763C23semidirect
315. #14519763C23semidirect
316. #14519763C23semidirect
318. #14519762C23semidirect
319. #14519762C23semidirect
320. #14519762C23semidirect
321. #14519762C23semidirect
322. #14519762C23semidirect
323. #14519762C23semidirect
324. #14519762C23semidirect
325. #14519762C23semidirect
326. #14519762C23semidirect
327. #14519762C23semidirect
328. #14519761C23semidirect
329. #14519760C23semidirect
330. #14519760C23semidirect
331. #14519759C23semidirect
332. #14519758C23semidirect
333. #14519757C23semidirect
334. #14519755C23semidirect
335. #14519755C23semidirect
336. #14519755C23semidirect
337. #14519755C23semidirect
338. #14519755C23semidirect
339. #14519755C23semidirect
340. #14519755C23semidirect
341. #14519754C23semidirect
342. #14519754C23semidirect
343. #14519754C23semidirect
344. #14519753C23semidirect
345. #14519753C23semidirect
348. #14519752C23semidirect
349. #14519752C23semidirect
351. #14519751C23semidirect
356. #14519750C23semidirect
357. #14519750C23semidirect
358. #14519750C23semidirect
359. #14519750C23semidirect
360. #14519750C23semidirect
363. #14519749C23semidirect
364. #14519748C23semidirect
370. #14519747C23semidirect
371. #14519747C23semidirect
372. #14519747C23semidirect
373. #14519747C23semidirect
374. #14519747C23semidirect
377. #14519745C23semidirect
378. #14519745C23semidirect
379. C4×Dic122C23semidirect
380. C4×Dic122C23semidirect
381. #14519742C23semidirect
382. #14519742C23semidirect
383. #14519742C23semidirect
384. C4×D244C23semidirect
385. C4×D244C23semidirect
387. #14519739C23semidirect
388. #14519739C23semidirect
389. #14519739C23semidirect
390. #14519739C23semidirect
391. C4×C22⋊D61C23semidirect
392. C4×C22⋊D61C23semidirect
393. C4×C22⋊D61C23semidirect
394. C4×C22⋊D61C23semidirect
396. #14519737C23semidirect
397. #14519737C23semidirect
398. #14519737C23semidirect
399. #14519737C23semidirect
400. #14519737C23semidirect
401. #14519735C23semidirect
402. #14519735C23semidirect
403. #14519734C23semidirect
404. #14519734C23semidirect
405. #14519734C23semidirect
406. #14519734C23semidirect
407. #14519733C23semidirect
408. #14519733C23semidirect
471. C2×#11758198C23semidirect
472. C2×#11758198C23semidirect
473. C22⋊C4×D61C23semidirect
474. C22⋊C4×D61C23semidirect
494. C4⋊Q8×C61C23semidirect
495. #126×C61C23semidirect
496. #126×C61C23semidirect
497. #124×C61C23semidirect
498. #124×C61C23semidirect
499. #124×C61C23semidirect
500. #123×C61C23semidirect
501. #123×C61C23semidirect
502. C22⋊Q8×C61C23semidirect
503. C22⋊Q8×C61C23semidirect
504. C22⋊Q8×C61C23semidirect
506. C4×Q8×C61C23semidirect
507. C4×D4×C61C23semidirect
508. #117×C61C23semidirect
1025. C2×#542D61semidirect
1038. C2×C61#3540semidirect
1075. #542C2×D61semidirect
1085. C2×C4⋊Q8C2×D61semidirect
1098. C2×#126C2×D61semidirect
1099. C2×#126C2×D61semidirect
1123. C2×#124C2×D61semidirect
1124. C2×#124C2×D61semidirect
1125. C2×#124C2×D61semidirect
1145. C2×#123C2×D61semidirect
1146. C2×#123C2×D61semidirect
1160. C2×C22⋊Q8C2×D61semidirect
1161. C2×C22⋊Q8C2×D61semidirect
1162. C2×C22⋊Q8C2×D61semidirect
1202. C2×C4×Q8C2×D61semidirect
1220. C2×C4×D4C2×D61semidirect
1229. C2×#117C2×D61semidirect
1234. C61C2×#3540semidirect
1307. C4⋊Q8C22×D61semidirect
1320. #126C22×D61semidirect
1321. #126C22×D61semidirect
1345. #124C22×D61semidirect
1346. #124C22×D61semidirect
1347. #124C22×D61semidirect
1364. #123C22×D61semidirect
1365. #123C22×D61semidirect
1379. C22⋊Q8C22×D61semidirect
1380. C22⋊Q8C22×D61semidirect
1381. C22⋊Q8C22×D61semidirect
1421. C4×Q8C22×D61semidirect
1439. C4×D4C22×D61semidirect
1448. #117C22×D61semidirect
2027. C2#21460084direct (N × H)

Maximal subgroups

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

subgroupindex
#214600842
C2×#168405042
C2×#168405032
C2×#168405002
C2×#168404972
C2×#168404962
C2×#168404842
C2×#168404792
C2×#168404752
C2×#168404742
C2×#168404392
C2×#168404362
C2×#168404222
C2×#168404202
C2×#168404042
C2×#168404012
C2×#168403862
C2×#168403822
C2×#168403782
C2×#168403762
C2×#168403522
C2×#168403512
C2×#168403482
C2×#168403452
C2×#168403372
C2×#168403302
C2×#168402752
C2×#168402712
C2×#168402702
C2×C61×#5422
C2×#354061