Finite Group Databasebeta

← C2×#21460475 #30587553

Subgroups — C2×#21460475 #30587553

Order 15616.

6694 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460475C2132yesmaximal, direct product factor
2C2×#16840514C211yesmaximal, characteristic, complemented
3C2×#16840509C211yesmaximal, characteristic, complemented
4C2×#16840509C211yesmaximal, characteristic, complemented
5C2×#16840500C211yesmaximal, characteristic, complemented
6C2×#16840496C211yesmaximal, characteristic, complemented
7C2×#16840479C211yesmaximal, characteristic, complemented
8C2×#16840477C211yesmaximal, characteristic, complemented
9C2×#16840463C211yesmaximal, characteristic, complemented
10C2×#16840460C211yesmaximal, characteristic, complemented
11C2×#16840459C211yesmaximal, characteristic, complemented
12C2×#16840450C211yesmaximal, characteristic, complemented
13C2×#16840447C211yesmaximal, characteristic, complemented
14C2×#16840444C211yesmaximal, characteristic, complemented
15C2×#16840441C211yesmaximal, characteristic, complemented
16C2×#16840437C211yesmaximal, characteristic, complemented
17C2×#16840435C211yesmaximal, characteristic, complemented
18C2×#16840385C211yesmaximal, characteristic, complemented
19C2×#16840382C211yesmaximal, characteristic, complemented
20C2×#16840382C211yesmaximal, characteristic, complemented
21C2×#16840375C211yesmaximal, characteristic, complemented
22C2×#16840372C211yesmaximal, characteristic, complemented
23C2×#16840363C211yesmaximal, characteristic, complemented
24C2×#16840360C211yesmaximal, characteristic, complemented
25C2×#16840355C211yesmaximal, characteristic, complemented
26C2×#16840352C211yesmaximal, characteristic, complemented
27C2×#16840348C211yesmaximal, characteristic, complemented
28C2×#16840348C211yesmaximal, characteristic, complemented
29C2×#16840298C211yesmaximal, characteristic, complemented
30C2×#16840292C211yesmaximal, characteristic, complemented
31C2×#16840289C211yesmaximal, characteristic, complemented
32C2×C61×#539C211yesmaximal, characteristic, complemented
33#16840514C22116yescomplemented
34#16840509C22116yescomplemented
35#16840509C22116yescomplemented
36#16840500C22116yescomplemented
37#16840496C22116yescomplemented
38#16840479C22116yescomplemented
39#16840477C22116yescomplemented
40#16840463C22116yescomplemented
41#16840460C22116yescomplemented
42#16840459C22116yescomplemented
43#16840450C22116yescomplemented
44#16840447C22116yescomplemented
45#16840444C22116yescomplemented
46#16840441C22116yescomplemented
47#16840437C22116yescomplemented
48#16840435C22116yescomplemented
49#16840385C22116yescomplemented
50#16840382C22116yescomplemented
51#16840382C22116yescomplemented
52#16840375C22116yescomplemented
53#16840372C22116yescomplemented
54#16840363C22116yescomplemented
55#16840360C22116yescomplemented
56#16840355C22116yescomplemented
57#16840352C22116yescomplemented
58#16840348C22116yescomplemented
59#16840348C22116yescomplemented
60C2×#14519777C2211yescharacteristic, complemented
61C2×#14519776C2211yescharacteristic, complemented
62C2×#14519775C2211yescharacteristic, complemented
63C2×#14519773C2211yescharacteristic
64#16840298C22116yescomplemented
65#16840292C22116yescomplemented
66#16840289C22116yescomplemented
67C2×#14519772C2211yescharacteristic
68C2×#14519772C2211yescharacteristic
69C2×#14519772C2211yescharacteristic
70C2×#14519772C2211yescharacteristic
71C2×#14519772C2211yescharacteristic
72C2×#14519772C2211yescharacteristic
73C2×#14519772C2211yescharacteristic
74C2×#14519772C2211yescharacteristic
75C2×#14519772C2211yescharacteristic, complemented
76C2×#14519772C2211yescharacteristic, complemented
77C2×#14519772C2211yescharacteristic, complemented
78C2×#14519771C2211yescharacteristic
79C2×#14519770C2211yescharacteristic
80C2×#14519770C2211yescharacteristic
81C2×#14519770C2211yescharacteristic
82C2×#14519770C2211yescharacteristic
83C2×#14519770C2211yescharacteristic, complemented
84C2×#14519770C2211yescharacteristic, complemented
85C2×#14519768C2211yescharacteristic, complemented
86C2×#14519768C2211yescharacteristic, complemented
87C2×#14519768C2211yescharacteristic, complemented
88C2×#14519768C2211yescharacteristic, complemented
89C2×#14519768C2211yescharacteristic, complemented
90C2×#14519768C2211yescharacteristic, complemented
91C2×#14519767C2211yescharacteristic, complemented
92C2×#14519767C2211yescharacteristic, complemented
93C2×#14519767C2211yescharacteristic, complemented
94C2×#14519767C2211yescharacteristic, complemented
95C2×#14519766C2211yescharacteristic
96C2×#14519766C2211yescharacteristic
97C2×#14519763C2211yescharacteristic
98C2×#14519763C2211yescharacteristic
99C2×#14519763C2211yescharacteristic
100C2×#14519763C2211yescharacteristic
101C2×#14519763C2211yescharacteristic
102C2×#14519763C2211yescharacteristic
103C2×#14519763C2211yescharacteristic
104C2×#14519763C2211yescharacteristic, complemented
105C2×#14519763C2211yescharacteristic, complemented
106C2×#14519763C2211yescharacteristic, complemented
107C2×#14519762C2211yescharacteristic
108C2×#14519762C2211yescharacteristic
109C2×#14519762C2211yescharacteristic
110C2×#14519762C2211yescharacteristic
111C2×#14519762C2211yescharacteristic
112C2×#14519762C2211yescharacteristic
113C2×#14519762C2211yescharacteristic
114C2×#14519762C2211yescharacteristic, complemented
115C2×#14519761C2211yescharacteristic
116C2×#14519761C2211yescharacteristic
117C2×#14519761C2211yescharacteristic, complemented
118C2×#14519760C2211yescharacteristic
119C2×#14519760C2211yescharacteristic
120C2×#14519760C2211yescharacteristic, complemented
121C2×#14519759C2211yescharacteristic
122C2×#14519759C2211yescharacteristic
123C2×#14519759C2211yescharacteristic
124C2×#14519759C2211yescharacteristic, complemented
125C2×#14519758C2211yescharacteristic
126C2×#14519758C2211yescharacteristic, complemented
127C2×#14519757C2211yescharacteristic
128C2×#14519757C2211yescharacteristic
129C2×#14519757C2211yescharacteristic
130C2×#14519757C2211yescharacteristic
131C2×#14519757C2211yescharacteristic, complemented
132C2×#14519756C2211yescharacteristic
133C2×#14519756C2211yescharacteristic, complemented
134C2×#14519755C2211yescharacteristic
135C2×#14519755C2211yescharacteristic
136C2×#14519755C2211yescharacteristic, complemented
137C2×#14519755C2211yescharacteristic, complemented
138C2×#14519755C2211yescharacteristic, complemented
139C2×#14519754C2211yescharacteristic
140C2×#14519754C2211yescharacteristic, complemented
141C2×#14519754C2211yescharacteristic, complemented
142C2×#14519752C2211yescharacteristic
143C2×#14519752C2211yescharacteristic
144C2×#14519751C2211yescharacteristic
145C2×#14519751C2211yescharacteristic
146C2×#14519751C2211yescharacteristic
147C2×#14519751C2211yescharacteristic
148C2×#14519751C2211yescharacteristic, complemented
149C2×#14519750C2211yescharacteristic
150C2×#14519750C2211yescharacteristic
151C2×#14519750C2211yescharacteristic
152C2×#14519750C2211yescharacteristic, complemented
153C2×#14519749C2211yescharacteristic
154C2×#14519749C2211yescharacteristic
155C2×#14519748C2211yescharacteristic
156C2×#14519748C2211yescharacteristic
157C2×#14519748C2211yescharacteristic
158C2×#14519748C2211yescharacteristic, complemented
159C2×#14519747C2211yescharacteristic
160C2×#14519747C2211yescharacteristic
161C2×#14519745C2211yescharacteristic
162C2×#14519745C2211yescharacteristic
163C2×Q8×Dic61C2211yescharacteristic, complemented
164C2×C4×Dic122C2211yescharacteristic, complemented
165C2×#14519742C2211yescharacteristic, complemented
166C2×#14519742C2211yescharacteristic, complemented
167C2×#14519742C2211yescharacteristic, complemented
168C2×#14519742C2211yescharacteristic, complemented
169C2×C4×D244C2211yescharacteristic
170C2×C4×D244C2211yescharacteristic, complemented
171C2×D4×Dic61C2211yescharacteristic
172C2×#14519739C2211yescharacteristic
173C2×#14519739C2211yescharacteristic
174C2×#14519739C2211yescharacteristic
175C2×C4×C22⋊D61C2211yescharacteristic
176C2×C4×C22⋊D61C2211yescharacteristic
177C2×C4×C22⋊D61C2211yescharacteristic
178C2×C4×C22⋊D61C2211yescharacteristic, complemented
179C2×C4×C22⋊D61C2211yescharacteristic, complemented
180C2×#14519737C2211yescharacteristic
181C2×#14519737C2211yescharacteristic
182C2×#14519737C2211yescharacteristic
183C2×#14519737C2211yescharacteristic, complemented
184C2×#14519737C2211yescharacteristic, complemented
185C2×#14519736C2211yescharacteristic
186C2×#14519736C2211yescharacteristic, complemented
187C2×#14519736C2211yescharacteristic, complemented
188C2×#14519735C2211yescharacteristic
189C2×#14519735C2211yescharacteristic
190C2×#14519735C2211yescharacteristic, complemented
191C2×#14519735C2211yescharacteristic, complemented
192C2×#14519735C2211yescharacteristic, complemented
193C2×#14519734C2211yescharacteristic
194C2×#14519734C2211yescharacteristic
195C2×#14519734C2211yescharacteristic, complemented
196C2×#14519733C2211yescharacteristic
197C2×C4⋊C4×D61C2211yescharacteristic, complemented
198C2×C4⋊C4×D61C2211yescharacteristic, complemented
199C22×#11758198C2211yescharacteristic
200C2×C22⋊C4×D61C2211yescharacteristic
201C2×C22⋊C4×D61C2211yescharacteristic
202C22×C4×Dic61C2211yescharacteristic, complemented
203C61×#539C22116yescomplemented
204C2×#126×C61C2211yescharacteristic
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#125×C61C2211yescharacteristic, complemented
207C2×#125×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic
209C2×#123×C61C2211yescharacteristic
210C2×#123×C61C2211yescharacteristic
211C2×#123×C61C2211yescharacteristic, complemented
212C2×C22⋊Q8×C61C2211yescharacteristic
213C2×C22⋊Q8×C61C2211yescharacteristic, complemented
214C2×C22⋊Q8×C61C2211yescharacteristic, complemented
215C2×#121×C61C2211yescharacteristic
216C2×C4×D4×C61C2211yescharacteristic
217C2×C4×D4×C61C2211yescharacteristic, complemented
218C22×C4⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C22×Dic122C2311yescharacteristic
221C22×Dic122C2311yescharacteristic
222C22×Dic122C2311yescharacteristic
223C22×Dic122C2311yescharacteristic
224C22×Dic122C2311yescharacteristic
225C22×D244C2311yescharacteristic
226C22×D244C2311yescharacteristic
227C22×D244C2311yescharacteristic
228C22×D244C2311yescharacteristic
229C22×D244C2311yescharacteristic
230C22×C22⋊D61C2311yescharacteristic
231C22×C22⋊D61C2311yescharacteristic
232C22×C22⋊D61C2311yescharacteristic
233C22×C22⋊D61C2311yescharacteristic
234C22×C22⋊D61C2311yescharacteristic
235C22×C22⋊D61C2311yescharacteristic
236C22×C22⋊D61C2311yescharacteristic
237C22×C22⋊D61C2311yescharacteristic
238C22×C22⋊D61C2311yescharacteristic
239C22×C22⋊D61C2311yescharacteristic
240C23×Dic61C2311yescharacteristic
241C23×Dic61C2311yescharacteristic
242C23×Dic61C2311yescharacteristic
243C22×C4×D61C2311yescharacteristic
244C22×C4×D61C2311yescharacteristic
245C22×C4×D61C2311yescharacteristic
246C22×C4×D61C2311yescharacteristic
247C22×C4×D61C2311yescharacteristic
248C22×C4×D61C2311yescharacteristic
249C22×C4×D61C2311yescharacteristic
250C22×C4×D61C2311yescharacteristic
251C22×C4×D61C2311yescharacteristic
252C22×C4×D61C2311yescharacteristic
253#14519777C2318yescomplemented
254#14519776C2318yescomplemented
255#14519775C2318yescomplemented
256#14519773C2318yes—
257#14519772C2318yes—
258#14519772C2318yes—
259#14519772C2318yes—
260#14519772C2318yes—
261#14519772C2318yes—
262#14519772C2318yes—
263#14519772C2318yes—
264#14519772C2318yes—
265#14519772C2318yescomplemented
266#14519772C2318yescomplemented
267#14519772C2318yescomplemented
268#14519771C2318yes—
269#14519770C2318yes—
270#14519770C2318yes—
271#14519770C2318yes—
272#14519770C2318yes—
273#14519770C2318yescomplemented
274#14519770C2318yescomplemented
275#14519768C2318yescomplemented
276#14519768C2318yescomplemented
277#14519768C2318yescomplemented
278#14519768C2318yescomplemented
279#14519768C2318yescomplemented
280#14519768C2318yescomplemented
281#14519767C2318yescomplemented
282#14519767C2318yescomplemented
283#14519767C2318yescomplemented
284#14519767C2318yescomplemented
285#14519766C2318yes—
286#14519766C2318yes—
287#14519763C2318yes—
288#14519763C2318yes—
289#14519763C2318yes—
290#14519763C2318yes—
291#14519763C2318yes—
292#14519763C2318yes—
293#14519763C2318yes—
294#14519763C2318yescomplemented
295#14519763C2318yescomplemented
296#14519763C2318yescomplemented
297#14519762C2318yes—
298#14519762C2318yes—
299#14519762C2318yes—
300#14519762C2318yes—
301#14519762C2318yes—
302#14519762C2318yes—
303#14519762C2318yes—
304#14519762C2318yescomplemented
305#14519761C2318yes—
306#14519761C2318yes—
307#14519761C2318yescomplemented
308#14519760C2318yes—
309#14519760C2318yes—
310#14519760C2318yescomplemented
311#14519759C2318yes—
312#14519759C2318yes—
313#14519759C2318yes—
314#14519759C2318yescomplemented
315#14519758C2318yes—
316#14519758C2318yescomplemented
317#14519757C2318yes—
318#14519757C2318yes—
319#14519757C2318yes—
320#14519757C2318yes—
321#14519757C2318yescomplemented
322#14519756C2318yes—
323#14519756C2318yescomplemented
324#14519755C2318yes—
325#14519755C2318yes—
326#14519755C2318yescomplemented
327#14519755C2318yescomplemented
328#14519755C2318yescomplemented
329#14519754C2318yes—
330#14519754C2318yescomplemented
331#14519754C2318yescomplemented
332#14519752C2318yes—
333#14519752C2318yes—
334#14519751C2318yes—
335#14519751C2318yes—
336#14519751C2318yes—
337#14519751C2318yes—
338#14519751C2318yescomplemented
339#14519750C2318yes—
340#14519750C2318yes—
341#14519750C2318yes—
342#14519750C2318yescomplemented
343#14519749C2318yes—
344#14519749C2318yes—
345#14519748C2318yes—
346#14519748C2318yes—
347#14519748C2318yes—
348#14519748C2318yescomplemented
349#14519747C2318yes—
350#14519747C2318yes—
351#14519745C2318yes—
352#14519745C2318yes—
353Q8×Dic61C2318yescomplemented
354C4×Dic122C2318yescomplemented
355#14519742C2318yescomplemented
356#14519742C2318yescomplemented
357#14519742C2318yescomplemented
358#14519742C2318yescomplemented
359C4×D244C2318yes—
360C4×D244C2318yescomplemented
361D4×Dic61C2318yes—
362#14519739C2318yes—
363#14519739C2318yes—
364#14519739C2318yes—
365C4×C22⋊D61C2318yes—
366C4×C22⋊D61C2318yes—
367C4×C22⋊D61C2318yes—
368C4×C22⋊D61C2318yescomplemented
369C4×C22⋊D61C2318yescomplemented
370#14519737C2318yes—
371#14519737C2318yes—
372#14519737C2318yes—
373#14519737C2318yescomplemented
374#14519737C2318yescomplemented
375#14519736C2318yes—
376#14519736C2318yescomplemented
377#14519736C2318yescomplemented
378#14519735C2318yes—
379#14519735C2318yes—
380#14519735C2318yescomplemented
381#14519735C2318yescomplemented
382#14519735C2318yescomplemented
383#14519734C2318yes—
384#14519734C2318yes—
385#14519734C2318yescomplemented
386#14519733C2318yes—
387C2×C4⋊Dic61C2311yescharacteristic
388C2×C4⋊Dic61C2311yescharacteristic
389C2×C4⋊Dic61C2311yescharacteristic
390C2×C4⋊Dic61C2311yescharacteristic
391C2×C4⋊Dic61C2311yescharacteristic
392C2×C4⋊Dic61C2311yescharacteristic
393C2×C4⋊Dic61C2311yescharacteristic
394C2×C4⋊Dic61C2311yescharacteristic
395C2×C4⋊Dic61C2311yescharacteristic
396C2×C4⋊Dic61C2311yescharacteristic
397C2×C4⋊Dic61C2311yescharacteristic
398C2×C4⋊Dic61C2311yescharacteristic
399C2×C4⋊Dic61C2311yescharacteristic
400C2×C4⋊Dic61C2311yescharacteristic
401C2×#11758196C2311yescharacteristic
402C2×#11758196C2311yescharacteristic
403C2×#11758196C2311yescharacteristic
404C2×#11758196C2311yescharacteristic
405C2×#11758196C2311yescharacteristic
406C2×#11758196C2311yescharacteristic
407C2×#11758196C2311yescharacteristic
408C2×#11758196C2311yescharacteristic
409C2×#11758196C2311yescharacteristic
410C2×#11758196C2311yescharacteristic
411C2×#11758196C2311yescharacteristic
412C2×#11758196C2311yescharacteristic
413C2×#11758196C2311yescharacteristic
414C2×#11758196C2311yescharacteristic
415C2×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2311yescharacteristic
421C4⋊C4×D61C2318yescomplemented
422C4⋊C4×D61C2318yescomplemented
423C2×C22⋊Dic61C2311yescharacteristic
424C2×C22⋊Dic61C2311yescharacteristic
425C2×C22⋊Dic61C2311yescharacteristic
426C2×C22⋊Dic61C2311yescharacteristic
427C2×C22⋊Dic61C2311yescharacteristic
428C2×C22⋊Dic61C2311yescharacteristic
429C2×C22⋊Dic61C2311yescharacteristic
430C2×C22⋊Dic61C2311yescharacteristic
431C2×C22⋊Dic61C2311yescharacteristic
432C2×C22⋊Dic61C2311yescharacteristic
433C2×#11758198C2311yescharacteristic
434C2×#11758198C2311yescharacteristic
435C2×#11758198C2311yescharacteristic
436C2×#11758198C2311yescharacteristic
437C2×#11758198C2311yescharacteristic
438C2×#11758198C2311yescharacteristic
439C2×#11758198C2311yescharacteristic
440C2×#11758198C2311yescharacteristic
441C2×#11758198C2318yes—
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
462C22⋊C4×D61C2318yes—
463C22⋊C4×D61C2318yes—
464C2×C4×Dic61C2311yescharacteristic
465C2×C4×Dic61C2311yescharacteristic
466C2×C4×Dic61C2311yescharacteristic
467C2×C4×Dic61C2311yescharacteristic
468C2×C4×Dic61C2311yescharacteristic
469C2×C4×Dic61C2311yescharacteristic
470C2×C4×Dic61C2311yescharacteristic
471C2×C4×Dic61C2311yescharacteristic
472C2×C4×Dic61C2311yescharacteristic
473C2×C4×Dic61C2311yescharacteristic
474C2×C4×Dic61C2311yescharacteristic
475C2×C4×Dic61C2311yescharacteristic
476C2×C4×Dic61C2311yescharacteristic
477C2×C4×Dic61C2311yescharacteristic
478C2×C4×Dic61C2318yescomplemented
479C22×Q8×C61C2311yescharacteristic
480C22×D4×C61C2311yescharacteristic
481C22×D4×C61C2311yescharacteristic
482C22×D4×C61C2311yescharacteristic
483C23×C4×C61C2311yescharacteristic
484C23×C4×C61C2311yescharacteristic
485C23×C4×C61C2311yescharacteristic
486C23×C4×C61C2311yescharacteristic
487C23×C4×C61C2311yescharacteristic
488#126×C61C2318yes—
489#126×C61C2318yescomplemented
490#125×C61C2318yescomplemented
491#125×C61C2318yescomplemented
492#123×C61C2318yes—
493#123×C61C2318yes—
494#123×C61C2318yes—
495#123×C61C2318yescomplemented
496C22⋊Q8×C61C2318yes—
497C22⋊Q8×C61C2318yescomplemented
498C22⋊Q8×C61C2318yescomplemented
499#121×C61C2318yes—
500C4×D4×C61C2318yes—
501C4×D4×C61C2318yescomplemented
502C2×C4⋊C4×C61C2311yescharacteristic
503C2×C4⋊C4×C61C2311yescharacteristic
504C2×C4⋊C4×C61C2311yescharacteristic
505C2×C4⋊C4×C61C2311yescharacteristic
506C2×C4⋊C4×C61C2311yescharacteristic
507C2×C4⋊C4×C61C2311yescharacteristic
508C2×C4⋊C4×C61C2311yescharacteristic
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×C61C2318yescomplemented
517C2×C22⋊C4×C61C2311yescharacteristic
518C2×C22⋊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×C42×C61C2311yescharacteristic
528C2×C42×C61C2311yescharacteristic
529C24×C61C2411yescharacteristic
530C24×C61C2411yescharacteristic
531C24×C61C2411yescharacteristic
532C23×D61—42no—
533C23×D61—42no—
534C23×D61—42no—
535C23×D61C2411yescharacteristic
536C23×D61C2411yescharacteristic
537C23×D61C2411yescharacteristic
538C23×D61C2411yescharacteristic
539C23×D61C2414yes—
540C2×Q8×C61—42no—
541C2×Q8×C61C2414yes—
542C2×D4×C61—42no—
543C2×D4×C61—42no—
544C2×D4×C61—42no—
545C2×D4×C61C2414yes—
546C2×D4×C61C2414yes—
547C2×D4×C61C2414yes—
548C22×C4×C61—42no—
549C22×C4×C61—42no—
550C22×C4×C61—42no—
551C22×C4×C61—42no—
552C22×C4×C61—42no—
553C22×C4×C61C2411yescharacteristic
554C22×C4×C61C2411yescharacteristic
555C22×C4×C61C2411yescharacteristic
556C22×C4×C61C2411yescharacteristic
557C22×C4×C61C2411yescharacteristic
558C22×C4×C61C2411yescharacteristic
559C22×C4×C61C2411yescharacteristic
560C22×C4×C61C2411yescharacteristic
561C22×C4×C61C2411yescharacteristic
562C22×C4×C61C2411yescharacteristic
563C22×C4×C61C2411yescharacteristic
564C22×C4×C61C2411yescharacteristic
565C22×C4×C61C2414yes—
566C22×C4×C61C2414yes—
567C22×C4×C61C2414yes—
568C22×C4×C61C2414yes—
569C22×C4×C61C2414yes—
570C2×C22⋊D61—42no—
571C2×C22⋊D61—42no—
572C2×C22⋊D61—42no—
573C2×C22⋊D61—42no—
574C2×C22⋊D61—42no—
575C2×C22⋊D61—42no—
576C2×C22⋊D61—42no—
577C2×C22⋊D61—42no—
578C2×C22⋊D61—42no—
579C2×C22⋊D61—42no—
580C2×C22⋊D61C2414yes—
581C2×C22⋊D61C2414yes—
582C2×C22⋊D61C2414yes—
583C2×C22⋊D61C2414yes—
584C2×C22⋊D61C2414yes—
585C2×C22⋊D61C2414yes—
586C2×C22⋊D61C2414yes—
587C2×C22⋊D61C2414yes—
588C2×C22⋊D61C2414yes—
589C2×C22⋊D61C2414yes—
590C22×Dic61—42no—
591C22×Dic61—42no—
592C22×Dic61—42no—
593C22×Dic61C2411yescharacteristic
594C22×Dic61C2411yescharacteristic
595C22×Dic61C2411yescharacteristic
596C22×Dic61C2411yescharacteristic
597C22×Dic61C2411yescharacteristic
598C22×Dic61C2411yescharacteristic
599C22×Dic61C2411yescharacteristic
600C22×Dic61C2411yescharacteristic
601C22×Dic61C2411yescharacteristic
602C22×Dic61C2411yescharacteristic
603C22×Dic61C2411yescharacteristic
604C22×Dic61C2411yescharacteristic
605C22×Dic61C2414yes—
606C22×Dic61C2414yes—
607C22×Dic61C2414yes—
608C2×D244—42no—
609C2×D244—42no—
610C2×D244—42no—
611C2×D244—42no—
612C2×D244—42no—
613C2×D244C2414yes—
614C2×D244C2414yes—
615C2×D244C2414yes—
616C2×D244C2414yes—
617C2×D244C2414yes—
618C2×C4×D61—42no—
619C2×C4×D61—42no—
620C2×C4×D61—42no—
621C2×C4×D61—42no—
622C2×C4×D61—42no—
623C2×C4×D61—42no—
624C2×C4×D61—42no—
625C2×C4×D61—42no—
626C2×C4×D61—42no—
627C2×C4×D61—42no—
628C2×C4×D61C2414yes—
629C2×C4×D61C2414yes—
630C2×C4×D61C2414yes—
631C2×C4×D61C2414yes—
632C2×C4×D61C2414yes—
633C2×C4×D61C2414yes—
634C2×C4×D61C2414yes—
635C2×C4×D61C2414yes—
636C2×C4×D61C2414yes—
637C2×C4×D61C2414yes—
638C2×Dic122—42no—
639C2×Dic122—42no—
640C2×Dic122—42no—
641C2×Dic122—42no—
642C2×Dic122—42no—
643C2×Dic122C2414yes—
644C2×Dic122C2414yes—
645C2×Dic122C2414yes—
646C2×Dic122C2414yes—
647C2×Dic122C2414yes—
648C4⋊C4×C61C2414yes—
649C4⋊C4×C61C2414yes—
650C4⋊C4×C61C2414yes—
651C4⋊C4×C61C2414yes—
652C4⋊C4×C61C2414yes—
653C4⋊C4×C61C2414yes—
654C4⋊C4×C61C2414yes—
655C4⋊C4×C61C2414yes—
656C4⋊C4×C61C2414yes—
657C4⋊C4×C61C2414yes—
658C4⋊C4×C61C2414yes—
659C4⋊C4×C61C2414yes—
660C4⋊C4×C61C2414yes—
661C4⋊C4×C61C2414yes—
662C22⋊C4×C61C2414yes—
663C22⋊C4×C61C2414yes—
664C22⋊C4×C61C2414yes—
665C22⋊C4×C61C2414yes—
666C22⋊C4×C61C2414yes—
667C22⋊C4×C61C2414yes—
668C22⋊C4×C61C2414yes—
669C22⋊C4×C61C2414yes—
670C22⋊C4×C61C2414yes—
671C22⋊C4×C61C2414yes—
672C42×C61C2414yes—
673C42×C61C2414yes—
674C22⋊Dic61C2414yes—
675C22⋊Dic61C2414yes—
676C22⋊Dic61C2414yes—
677C22⋊Dic61C2414yes—
678C22⋊Dic61C2414yes—
679C22⋊Dic61C2414yes—
680C22⋊Dic61C2414yes—
681C22⋊Dic61C2414yes—
682C22⋊Dic61C2414yes—
683C22⋊Dic61C2414yes—
684#11758198C2414yes—
685#11758198C2414yes—
686#11758198C2414yes—
687#11758198C2414yes—
688#11758198C2414yes—
689#11758198C2414yes—
690#11758198C2414yes—
691#11758198C2414yes—
692#11758198C2414yes—
693#11758198C2414yes—
694#11758198C2414yes—
695#11758198C2414yes—
696#11758198C2414yes—
697#11758198C2414yes—
698#11758198C2414yes—
699#11758198C2414yes—
700#11758198C2414yes—
701#11758198C2414yes—
702#11758198C2414yes—
703#11758198C2414yes—
704#11758198C2414yes—
705#11758198C2414yes—
706#11758198C2414yes—
707#11758198C2414yes—
708#11758198C2414yes—
709#11758198C2414yes—
710#11758198C2414yes—
711#11758198C2414yes—
712C4⋊Dic61C2414yes—
713C4⋊Dic61C2414yes—
714C4⋊Dic61C2414yes—
715C4⋊Dic61C2414yes—
716C4⋊Dic61C2414yes—
717C4⋊Dic61C2414yes—
718C4⋊Dic61C2414yes—
719C4⋊Dic61C2414yes—
720C4⋊Dic61C2414yes—
721C4⋊Dic61C2414yes—
722C4⋊Dic61C2414yes—
723C4⋊Dic61C2414yes—
724C4⋊Dic61C2414yes—
725C4⋊Dic61C2414yes—
726#11758196C2414yes—
727#11758196C2414yes—
728#11758196C2414yes—
729#11758196C2414yes—
730#11758196C2414yes—
731#11758196C2414yes—
732#11758196C2414yes—
733#11758196C2414yes—
734#11758196C2414yes—
735#11758196C2414yes—
736#11758196C2414yes—
737#11758196C2414yes—
738#11758196C2414yes—
739#11758196C2414yes—
740#11758196C2414yes—
741#11758196C2414yes—
742#11758196C2414yes—
743#11758196C2414yes—
744#11758196C2414yes—
745#11758196C2414yes—
746C4×Dic61C2414yes—
747C4×Dic61C2414yes—
748C4×Dic61C2414yes—
749C4×Dic61C2414yes—
750C4×Dic61C2414yes—
751C4×Dic61C2414yes—
752C4×Dic61C2414yes—
753C4×Dic61C2414yes—
754C4×Dic61C2414yes—
755C4×Dic61C2414yes—
756C4×Dic61C2414yes—
757C4×Dic61C2414yes—
758C4×Dic61C2414yes—
759C4×Dic61C2414yes—
760C23×C61—22no—
761C23×C61—22no—
762C23×C61—22no—
763C23×C61—22no—
764C23×C61—22no—
765C23×C61—22no—
766C23×C61—22no—
767C23×C61—22no—
768C23×C61—22no—
769C23×C61C2512yes—
770C23×C61C2512yes—
771C23×C61C2512yes—
772C23×C61C2511yescharacteristic
773C22×D61—22no—
774C22×D61—22no—
775C22×D61—22no—
776C22×D61—22no—
777C22×D61—22no—
778C22×D61—22no—
779C22×D61—22no—
780C22×D61—22no—
781C22×D61—22no—
782C22×D61—22no—
783C22×D61—22no—
784C22×D61—22no—
785C22×D61—44no—
786C22×D61—44no—
787C22×D61—44no—
788C22×D61—88no—
789C22×D61C2512yes—
790C22×D61C2512yes—
791C22×D61C2512yes—
792C22×D61C2512yes—
793Q8×C61—44no—
794D4×C61—44no—
795D4×C61—44no—
796D4×C61—44no—
797C2×C4×C61—22no—
798C2×C4×C61—22no—
799C2×C4×C61—22no—
800C2×C4×C61—22no—
801C2×C4×C61—22no—
802C2×C4×C61—22no—
803C2×C4×C61—22no—
804C2×C4×C61—22no—
805C2×C4×C61—22no—
806C2×C4×C61—22no—
807C2×C4×C61—22no—
808C2×C4×C61—22no—
809C2×C4×C61—44no—
810C2×C4×C61—44no—
811C2×C4×C61—44no—
812C2×C4×C61—44no—
813C2×C4×C61—44no—
814C2×C4×C61C2512yes—
815C2×C4×C61C2512yes—
816C2×C4×C61C2512yes—
817C2×C4×C61C2512yes—
818C2×C4×C61C2512yes—
819C2×C4×C61C2512yes—
820C2×C4×C61C2512yes—
821C2×C4×C61C2512yes—
822C2×C4×C61C2512yes—
823C2×C4×C61C2512yes—
824C2×C4×C61C2512yes—
825C2×C4×C61C2512yes—
826C22⋊D61—44no—
827C22⋊D61—44no—
828C22⋊D61—44no—
829C22⋊D61—44no—
830C22⋊D61—44no—
831C22⋊D61—44no—
832C22⋊D61—44no—
833C22⋊D61—44no—
834C22⋊D61—44no—
835C22⋊D61—44no—
836C2×Dic61—22no—
837C2×Dic61—22no—
838C2×Dic61—22no—
839C2×Dic61—22no—
840C2×Dic61—22no—
841C2×Dic61—22no—
842C2×Dic61—22no—
843C2×Dic61—22no—
844C2×Dic61—22no—
845C2×Dic61—22no—
846C2×Dic61—22no—
847C2×Dic61—22no—
848C2×Dic61—44no—
849C2×Dic61—44no—
850C2×Dic61—44no—
851C2×Dic61C2512yes—
852C2×Dic61C2512yes—
853C2×Dic61C2512yes—
854C2×Dic61C2512yes—
855C2×Dic61C2512yes—
856C2×Dic61C2512yes—
857C2×Dic61C2512yes—
858C2×Dic61C2512yes—
859C2×Dic61C2512yes—
860C2×Dic61C2512yes—
861C2×Dic61C2512yes—
862C2×Dic61C2512yes—
863D244—44no—
864D244—44no—
865D244—44no—
866D244—44no—
867D244—44no—
868C4×D61—44no—
869C4×D61—44no—
870C4×D61—44no—
871C4×D61—44no—
872C4×D61—44no—
873C4×D61—44no—
874C4×D61—44no—
875C4×D61—44no—
876C4×D61—44no—
877C4×D61—44no—
878Dic122—44no—
879Dic122—44no—
880Dic122—44no—
881Dic122—44no—
882Dic122—44no—
883C2×#3566—611nomaximal, Sylow
884C22×C61—22no—
885C22×C61—22no—
886C22×C61—22no—
887C22×C61—22no—
888C22×C61—22no—
889C22×C61—22no—
890C22×C61—22no—
891C22×C61—22no—
892C22×C61—22no—
893C22×C61—44no—
894C22×C61—44no—
895C22×C61—44no—
896C22×C61#58512yes—
897C22×C61#58512yes—
898C22×C61#58512yes—
899C22×C61C2611yescharacteristic
900C2×D61—22no—
901C2×D61—22no—
902C2×D61—22no—
903C2×D61—22no—
904C2×D61—22no—
905C2×D61—22no—
906C2×D61—22no—
907C2×D61—22no—
908C2×D61—22no—
909C2×D61—22no—
910C2×D61—22no—
911C2×D61—22no—
912C2×D61—44no—
913C2×D61—44no—
914C2×D61—44no—
915C2×D61—44no—
916C2×D61—88no—
917C4×C61—22no—
918C4×C61—22no—
919C4×C61—22no—
920C4×C61—22no—
921C4×C61—22no—
922C4×C61—22no—
923C4×C61—22no—
924C4×C61—22no—
925C4×C61—22no—
926C4×C61—22no—
927C4×C61—22no—
928C4×C61—22no—
929Dic61—22no—
930Dic61—22no—
931Dic61—22no—
932Dic61—22no—
933Dic61—22no—
934Dic61—22no—
935Dic61—22no—
936Dic61—22no—
937Dic61—22no—
938Dic61—22no—
939Dic61—22no—
940Dic61—22no—
941#3566—6132no—
942C2×#563—611no—
943C2×#562—611no—
944C2×#562—611no—
945C2×#560—611no—
946C2×#559—611no—
947C2×#556—611no—
948C2×#555—611no—
949C2×#553—611no—
950C2×#553—611no—
951C2×#553—611no—
952C2×#552—611no—
953C2×#552—611no—
954C2×#552—611no—
955C2×#551—611no—
956C2×#551—611no—
957C2×#551—611no—
958C2×#542—611no—
959C2×#542—611no—
960C2×#542—611no—
961C2×#541—611no—
962C2×#541—611no—
963C2×#540—611no—
964C2×#539—611no—
965C2×#539—611no—
966C2×#539D6111yescharacteristic, complemented
967C2×#538—611no—
968C2×#538—611no—
969C2×#538—611no—
970C2×#529—611no—
971C2×#529—611no—
972C2×#529—611no—
973C2×C61—42no—
974C2×C61—42no—
975C2×C61—42no—
976C2×C61#356614yescomplemented
977C2×C61C2×#58511yescharacteristic
978C2×C61C2×#58511yescharacteristic
979C2×C61C2×#58511yescharacteristic
980D61—42no—
981D61—42no—
982D61—42no—
983D61—42no—
984#563—6116no—
985#562—6116no—
986#562—6116no—
987#560—6116no—
988#559—6116no—
989#556—6116no—
990#555—6116no—
991#553—6116no—
992#553—6116no—
993#553—6116no—
994#552—6116no—
995#552—6116no—
996#552—6116no—
997#551—6116no—
998#551—6116no—
999#551—6116no—
1000#542—6116no—
1001#542—6116no—
1002#542—6116no—
1003#541—6116no—
1004#541—6116no—
1005#540—6116no—
1006#539—6116no—
1007#539—6116no—
1008#539C2×D61116yescomplemented
1009#538—6116no—
1010#538—6116no—
1011#538—6116no—
1012C2×C4⋊Q8—611no—
1013C2×C4⋊Q8—611no—
1014C2×C4⋊Q8—611no—
1015C2×#127—611no—
1016#529—6116no—
1017#529—6116no—
1018#529—6116no—
1019C2×#126—611no—
1020C2×#126—611no—
1021C2×#126—611no—
1022C2×#126—611no—
1023C2×#126—611no—
1024C2×#126—611no—
1025C2×#126—611no—
1026C2×#126—611no—
1027C2×#126—611no—
1028C2×#126—611no—
1029C2×#126—611no—
1030C2×#126—611no—
1031C2×#126—611no—
1032C2×#126—611no—
1033C2×#126—611no—
1034C2×#126—611no—
1035C2×#126—611no—
1036C2×#126—611no—
1037C2×#126C2×D6111yescharacteristic
1038C2×#126C2×D6111yescharacteristic, complemented
1039C2×#125—611no—
1040C2×#125—611no—
1041C2×#125—611no—
1042C2×#125—611no—
1043C2×#125—611no—
1044C2×#125—611no—
1045C2×#125—611no—
1046C2×#125—611no—
1047C2×#125—611no—
1048C2×#125—611no—
1049C2×#125C2×D6111yescharacteristic, complemented
1050C2×#125C2×D6111yescharacteristic, complemented
1051C2×#124—611no—
1052C2×#124—611no—
1053C2×#124—611no—
1054C2×#124—611no—
1055C2×#124—611no—
1056C2×#124—611no—
1057C2×#124—611no—
1058C2×#124—611no—
1059C2×#124—611no—
1060C2×#124—611no—
1061C2×#124—611no—
1062C2×#124—611no—
1063C2×#123—611no—
1064C2×#123—611no—
1065C2×#123—611no—
1066C2×#123—611no—
1067C2×#123—611no—
1068C2×#123—611no—
1069C2×#123—611no—
1070C2×#123—611no—
1071C2×#123—611no—
1072C2×#123—611no—
1073C2×#123—611no—
1074C2×#123—611no—
1075C2×#123—611no—
1076C2×#123—611no—
1077C2×#123—611no—
1078C2×#123—611no—
1079C2×#123—611no—
1080C2×#123—611no—
1081C2×#123—611no—
1082C2×#123—611no—
1083C2×#123C2×D6111yescharacteristic
1084C2×#123C2×D6111yescharacteristic
1085C2×#123C2×D6111yescharacteristic
1086C2×#123C2×D6111yescharacteristic, complemented
1087C2×C22⋊Q8—611no—
1088C2×C22⋊Q8—611no—
1089C2×C22⋊Q8—611no—
1090C2×C22⋊Q8—611no—
1091C2×C22⋊Q8—611no—
1092C2×C22⋊Q8—611no—
1093C2×C22⋊Q8—611no—
1094C2×C22⋊Q8—611no—
1095C2×C22⋊Q8—611no—
1096C2×C22⋊Q8—611no—
1097C2×C22⋊Q8—611no—
1098C2×C22⋊Q8—611no—
1099C2×C22⋊Q8—611no—
1100C2×C22⋊Q8—611no—
1101C2×C22⋊Q8—611no—
1102C2×C22⋊Q8C2×D6111yescharacteristic
1103C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1104C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1105C2×#121—611no—
1106C2×#121—611no—
1107C2×#121—611no—
1108C2×#121—611no—
1109C2×#121—611no—
1110C2×#121—611no—
1111C2×#121—611no—
1112C2×#121—611no—
1113C2×#121—611no—
1114C2×#121—611no—
1115C2×#121—611no—
1116C2×#121—611no—
1117C2×#121—611no—
1118C2×#121—611no—
1119C2×#121—611no—
1120C2×#121—611no—
1121C2×#121—611no—
1122C2×#121C2×D6111yescharacteristic
1123C2×#120—611no—
1124C2×#120—611no—
1125C2×#120—611no—
1126C2×#120—611no—
1127C2×C4×Q8—611no—
1128C2×C4×Q8—611no—
1129C2×C4×Q8—611no—
1130C2×C4×Q8—611no—
1131C2×C4×Q8—611no—
1132C2×C4×Q8—611no—
1133C2×C4×D4—611no—
1134C2×C4×D4—611no—
1135C2×C4×D4—611no—
1136C2×C4×D4—611no—
1137C2×C4×D4—611no—
1138C2×C4×D4—611no—
1139C2×C4×D4—611no—
1140C2×C4×D4—611no—
1141C2×C4×D4—611no—
1142C2×C4×D4—611no—
1143C2×C4×D4—611no—
1144C2×C4×D4—611no—
1145C2×C4×D4—611no—
1146C2×C4×D4—611no—
1147C2×C4×D4—611no—
1148C2×C4×D4—611no—
1149C2×C4×D4C2×D6111yescharacteristic
1150C2×C4×D4C2×D6111yescharacteristic, complemented
1151C2×#117—611no—
1152C2×#117—611no—
1153C2×#117—611no—
1154C2×#117—611no—
1155C2×#117—611no—
1156C2×#117—611no—
1157C2×#117—611no—
1158C2×#117—611no—
1159C2×#117—611no—
1160C2×#117—611no—
1161C2×#117—611no—
1162C2×#117—611no—
1163C22×C4⋊C4—611no—
1164C22×C4⋊C4—611no—
1165C22×C4⋊C4C2×D6111yescharacteristic, complemented
1166C22×C22⋊C4—611no—
1167C22×C22⋊C4—611no—
1168C22×C22⋊C4—611no—
1169C22×C42—611no—
1170C61C2×#356611yescharacteristic, complemented, Sylow
1171C25—611no—
1172C22×Q8—611no—
1173C22×Q8—611no—
1174C22×Q8—611no—
1175C22×Q8—611no—
1176C22×Q8—611no—
1177C22×Q8C22×D6111yescharacteristic
1178C22×D4—611no—
1179C22×D4—611no—
1180C22×D4—611no—
1181C22×D4—611no—
1182C22×D4—611no—
1183C22×D4—611no—
1184C22×D4—611no—
1185C22×D4—611no—
1186C22×D4—611no—
1187C22×D4—611no—
1188C22×D4—611no—
1189C22×D4—611no—
1190C22×D4—611no—
1191C22×D4—611no—
1192C22×D4—611no—
1193C22×D4C22×D6111yescharacteristic
1194C22×D4C22×D6111yescharacteristic
1195C22×D4C22×D6111yescharacteristic
1196C23×C4—611no—
1197C23×C4—611no—
1198C23×C4—611no—
1199C23×C4—611no—
1200C23×C4—611no—
1201C23×C4—611no—
1202C23×C4—611no—
1203C23×C4—611no—
1204C23×C4—611no—
1205C23×C4—611no—
1206C23×C4—611no—
1207C23×C4—611no—
1208C23×C4—611no—
1209C23×C4C22×D6111yescharacteristic
1210C23×C4C22×D6111yescharacteristic
1211C23×C4C22×D6111yescharacteristic
1212C23×C4C22×D6111yescharacteristic
1213C23×C4C22×D6111yescharacteristic
1214C4⋊Q8—618no—
1215C4⋊Q8—618no—
1216C4⋊Q8—618no—
1217#127—618no—
1218#126—618no—
1219#126—618no—
1220#126—618no—
1221#126—618no—
1222#126—618no—
1223#126—618no—
1224#126—618no—
1225#126—618no—
1226#126—618no—
1227#126—618no—
1228#126—618no—
1229#126—618no—
1230#126—618no—
1231#126—618no—
1232#126—618no—
1233#126—618no—
1234#126—618no—
1235#126—618no—
1236#126C22×D6118yes—
1237#126C22×D6118yescomplemented
1238#125—618no—
1239#125—618no—
1240#125—618no—
1241#125—618no—
1242#125—618no—
1243#125—618no—
1244#125—618no—
1245#125—618no—
1246#125—618no—
1247#125—618no—
1248#125C22×D6118yescomplemented
1249#125C22×D6118yescomplemented
1250#124—618no—
1251#124—618no—
1252#124—618no—
1253#124—618no—
1254#124—618no—
1255#124—618no—
1256#124—618no—
1257#124—618no—
1258#124—618no—
1259#124—618no—
1260#124—618no—
1261#124—618no—
1262#123—618no—
1263#123—618no—
1264#123—618no—
1265#123—618no—
1266#123—618no—
1267#123—618no—
1268#123—618no—
1269#123—618no—
1270#123—618no—
1271#123—618no—
1272#123—618no—
1273#123—618no—
1274#123—618no—
1275#123—618no—
1276#123—618no—
1277#123—618no—
1278#123—618no—
1279#123—618no—
1280#123—618no—
1281#123—618no—
1282#123C22×D6118yes—
1283#123C22×D6118yes—
1284#123C22×D6118yes—
1285#123C22×D6118yescomplemented
1286C22⋊Q8—618no—
1287C22⋊Q8—618no—
1288C22⋊Q8—618no—
1289C22⋊Q8—618no—
1290C22⋊Q8—618no—
1291C22⋊Q8—618no—
1292C22⋊Q8—618no—
1293C22⋊Q8—618no—
1294C22⋊Q8—618no—
1295C22⋊Q8—618no—
1296C22⋊Q8—618no—
1297C22⋊Q8—618no—
1298C22⋊Q8—618no—
1299C22⋊Q8—618no—
1300C22⋊Q8—618no—
1301C22⋊Q8C22×D6118yes—
1302C22⋊Q8C22×D6118yescomplemented
1303C22⋊Q8C22×D6118yescomplemented
1304#121—618no—
1305#121—618no—
1306#121—618no—
1307#121—618no—
1308#121—618no—
1309#121—618no—
1310#121—618no—
1311#121—618no—
1312#121—618no—
1313#121—618no—
1314#121—618no—
1315#121—618no—
1316#121—618no—
1317#121—618no—
1318#121—618no—
1319#121—618no—
1320#121—618no—
1321#121C22×D6118yes—
1322#120—618no—
1323#120—618no—
1324#120—618no—
1325#120—618no—
1326C4×Q8—618no—
1327C4×Q8—618no—
1328C4×Q8—618no—
1329C4×Q8—618no—
1330C4×Q8—618no—
1331C4×Q8—618no—
1332C4×D4—618no—
1333C4×D4—618no—
1334C4×D4—618no—
1335C4×D4—618no—
1336C4×D4—618no—
1337C4×D4—618no—
1338C4×D4—618no—
1339C4×D4—618no—
1340C4×D4—618no—
1341C4×D4—618no—
1342C4×D4—618no—
1343C4×D4—618no—
1344C4×D4—618no—
1345C4×D4—618no—
1346C4×D4—618no—
1347C4×D4—618no—
1348C4×D4C22×D6118yes—
1349C4×D4C22×D6118yescomplemented
1350#117—618no—
1351#117—618no—
1352#117—618no—
1353#117—618no—
1354#117—618no—
1355#117—618no—
1356#117—618no—
1357#117—618no—
1358#117—618no—
1359#117—618no—
1360#117—618no—
1361#117—618no—
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—611no—
1383C2×C4⋊C4—611no—
1384C2×C4⋊C4—611no—
1385C2×C4⋊C4—611no—
1386C2×C4⋊C4—611no—
1387C2×C4⋊C4—611no—
1388C2×C4⋊C4—611no—
1389C2×C4⋊C4—611no—
1390C2×C4⋊C4—611no—
1391C2×C4⋊C4—611no—
1392C2×C4⋊C4—611no—
1393C2×C4⋊C4—611no—
1394C2×C4⋊C4—611no—
1395C2×C4⋊C4—611no—
1396C2×C4⋊C4—618no—
1397C2×C4⋊C4—618no—
1398C2×C4⋊C4C22×D6111yescharacteristic
1399C2×C4⋊C4C22×D6111yescharacteristic
1400C2×C4⋊C4C22×D6111yescharacteristic
1401C2×C4⋊C4C22×D6111yescharacteristic
1402C2×C4⋊C4C22×D6111yescharacteristic
1403C2×C4⋊C4C22×D6111yescharacteristic
1404C2×C4⋊C4C22×D6111yescharacteristic
1405C2×C4⋊C4C22×D6111yescharacteristic
1406C2×C4⋊C4C22×D6111yescharacteristic
1407C2×C4⋊C4C22×D6111yescharacteristic
1408C2×C4⋊C4C22×D6111yescharacteristic
1409C2×C4⋊C4C22×D6111yescharacteristic
1410C2×C4⋊C4C22×D6111yescharacteristic
1411C2×C4⋊C4C22×D6111yescharacteristic
1412C2×C4⋊C4C22×D6118yescomplemented
1413C2×C22⋊C4—611no—
1414C2×C22⋊C4—611no—
1415C2×C22⋊C4—611no—
1416C2×C22⋊C4—611no—
1417C2×C22⋊C4—611no—
1418C2×C22⋊C4—611no—
1419C2×C22⋊C4—611no—
1420C2×C22⋊C4—611no—
1421C2×C22⋊C4—611no—
1422C2×C22⋊C4—611no—
1423C2×C22⋊C4—611no—
1424C2×C22⋊C4—611no—
1425C2×C22⋊C4—611no—
1426C2×C22⋊C4—611no—
1427C2×C22⋊C4—611no—
1428C2×C22⋊C4—611no—
1429C2×C22⋊C4—611no—
1430C2×C22⋊C4—611no—
1431C2×C22⋊C4—618no—
1432C2×C22⋊C4—611no—
1433C2×C22⋊C4—611no—
1434C2×C22⋊C4—611no—
1435C2×C22⋊C4—611no—
1436C2×C22⋊C4—611no—
1437C2×C22⋊C4—611no—
1438C2×C22⋊C4—611no—
1439C2×C22⋊C4—611no—
1440C2×C22⋊C4—611no—
1441C2×C22⋊C4—611no—
1442C2×C22⋊C4—611no—
1443C2×C22⋊C4—611no—
1444C2×C22⋊C4—611no—
1445C2×C22⋊C4—611no—
1446C2×C22⋊C4—611no—
1447C2×C22⋊C4—611no—
1448C2×C22⋊C4—611no—
1449C2×C22⋊C4—611no—
1450C2×C22⋊C4—611no—
1451C2×C22⋊C4—611no—
1452C2×C22⋊C4—618no—
1453C2×C22⋊C4—618no—
1454C2×C22⋊C4C22×D6111yescharacteristic
1455C2×C22⋊C4C22×D6111yescharacteristic
1456C2×C22⋊C4C22×D6111yescharacteristic
1457C2×C22⋊C4C22×D6111yescharacteristic
1458C2×C22⋊C4C22×D6111yescharacteristic
1459C2×C22⋊C4C22×D6111yescharacteristic
1460C2×C22⋊C4C22×D6111yescharacteristic
1461C2×C22⋊C4C22×D6111yescharacteristic
1462C2×C22⋊C4C22×D6111yescharacteristic
1463C2×C22⋊C4C22×D6111yescharacteristic
1464C2×C42—611no—
1465C2×C42—611no—
1466C2×C42—611no—
1467C2×C42—611no—
1468C2×C42—611no—
1469C2×C42—611no—
1470C2×C42—611no—
1471C2×C42—611no—
1472C2×C42—611no—
1473C2×C42—611no—
1474C2×C42—611no—
1475C2×C42—611no—
1476C2×C42—611no—
1477C2×C42—611no—
1478C2×C42—618no—
1479C2×C42C22×D6111yescharacteristic
1480C2×C42C22×D6111yescharacteristic
1481C24—611no—
1482C24—611no—
1483C24—611no—
1484C24—611no—
1485C24—614no—
1486C24—2442no—
1487C24—2442no—
1488C24—2442no—
1489C24C23×D6111yescharacteristic
1490C24C23×D6111yescharacteristic
1491C24C23×D6111yescharacteristic
1492C2×Q8—42no—
1493C2×Q8—614no—
1494C2×Q8—614no—
1495C2×Q8—614no—
1496C2×Q8—614no—
1497C2×Q8—614no—
1498C2×Q8—2442no—
1499C2×Q8—2442no—
1500C2×Q8—2442no—
1501C2×Q8—2442no—
1502C2×Q8—2442no—
1503C2×Q8C23×D6114yes—
1504C2×D4—42no—
1505C2×D4—42no—
1506C2×D4—42no—
1507C2×D4—614no—
1508C2×D4—614no—
1509C2×D4—614no—
1510C2×D4—614no—
1511C2×D4—614no—
1512C2×D4—614no—
1513C2×D4—614no—
1514C2×D4—614no—
1515C2×D4—614no—
1516C2×D4—614no—
1517C2×D4—614no—
1518C2×D4—614no—
1519C2×D4—614no—
1520C2×D4—614no—
1521C2×D4—614no—
1522C2×D4—2442no—
1523C2×D4—2442no—
1524C2×D4—2442no—
1525C2×D4—2442no—
1526C2×D4—2442no—
1527C2×D4—2442no—
1528C2×D4—2442no—
1529C2×D4—2442no—
1530C2×D4—2442no—
1531C2×D4—2442no—
1532C2×D4—2442no—
1533C2×D4—2442no—
1534C2×D4—2442no—
1535C2×D4—2442no—
1536C2×D4—2442no—
1537C2×D4C23×D6114yes—
1538C2×D4C23×D6114yes—
1539C2×D4C23×D6114yes—
1540C22×C4—42no—
1541C22×C4—42no—
1542C22×C4—42no—
1543C22×C4—42no—
1544C22×C4—42no—
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—614no—
1558C22×C4—614no—
1559C22×C4—614no—
1560C22×C4—614no—
1561C22×C4—614no—
1562C22×C4—614no—
1563C22×C4—614no—
1564C22×C4—614no—
1565C22×C4—614no—
1566C22×C4—614no—
1567C22×C4—614no—
1568C22×C4—614no—
1569C22×C4—614no—
1570C22×C4—2442no—
1571C22×C4—2442no—
1572C22×C4—2442no—
1573C22×C4—2442no—
1574C22×C4—2442no—
1575C22×C4—2442no—
1576C22×C4—2442no—
1577C22×C4—2442no—
1578C22×C4—2442no—
1579C22×C4—2442no—
1580C22×C4—2442no—
1581C22×C4—2442no—
1582C22×C4—2442no—
1583C22×C4C23×D6111yescharacteristic
1584C22×C4C23×D6111yescharacteristic
1585C22×C4C23×D6111yescharacteristic
1586C22×C4C23×D6111yescharacteristic
1587C22×C4C23×D6111yescharacteristic
1588C22×C4C23×D6111yescharacteristic
1589C22×C4C23×D6111yescharacteristic
1590C22×C4C23×D6111yescharacteristic
1591C22×C4C23×D6111yescharacteristic
1592C22×C4C23×D6111yescharacteristic
1593C22×C4C23×D6111yescharacteristic
1594C22×C4C23×D6111yescharacteristic
1595C22×C4C23×D6114yes—
1596C22×C4C23×D6114yes—
1597C22×C4C23×D6114yes—
1598C22×C4C23×D6114yes—
1599C22×C4C23×D6114yes—
1600C4⋊C4—614no—
1601C4⋊C4—614no—
1602C4⋊C4—614no—
1603C4⋊C4—614no—
1604C4⋊C4—614no—
1605C4⋊C4—614no—
1606C4⋊C4—614no—
1607C4⋊C4—614no—
1608C4⋊C4—614no—
1609C4⋊C4—614no—
1610C4⋊C4—614no—
1611C4⋊C4—614no—
1612C4⋊C4—614no—
1613C4⋊C4—614no—
1614C4⋊C4—614no—
1615C4⋊C4—614no—
1616C4⋊C4—614no—
1617C4⋊C4—614no—
1618C4⋊C4—614no—
1619C4⋊C4—614no—
1620C4⋊C4—614no—
1621C4⋊C4—614no—
1622C4⋊C4—614no—
1623C4⋊C4—614no—
1624C4⋊C4—614no—
1625C4⋊C4—614no—
1626C4⋊C4—614no—
1627C4⋊C4—614no—
1628C4⋊C4—614no—
1629C4⋊C4—614no—
1630C4⋊C4—614no—
1631C4⋊C4—614no—
1632C4⋊C4—614no—
1633C4⋊C4—614no—
1634C4⋊C4C23×D6114yes—
1635C4⋊C4C23×D6114yes—
1636C4⋊C4C23×D6114yes—
1637C4⋊C4C23×D6114yes—
1638C4⋊C4C23×D6114yes—
1639C4⋊C4C23×D6114yes—
1640C4⋊C4C23×D6114yes—
1641C4⋊C4C23×D6114yes—
1642C4⋊C4C23×D6114yes—
1643C4⋊C4C23×D6114yes—
1644C4⋊C4C23×D6114yes—
1645C4⋊C4C23×D6114yes—
1646C4⋊C4C23×D6114yes—
1647C4⋊C4C23×D6114yes—
1648C22⋊C4—614no—
1649C22⋊C4—614no—
1650C22⋊C4—614no—
1651C22⋊C4—614no—
1652C22⋊C4—614no—
1653C22⋊C4—614no—
1654C22⋊C4—614no—
1655C22⋊C4—614no—
1656C22⋊C4—614no—
1657C22⋊C4—614no—
1658C22⋊C4—614no—
1659C22⋊C4—614no—
1660C22⋊C4—614no—
1661C22⋊C4—614no—
1662C22⋊C4—614no—
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—614no—
1678C22⋊C4—614no—
1679C22⋊C4—614no—
1680C22⋊C4—614no—
1681C22⋊C4—614no—
1682C22⋊C4—614no—
1683C22⋊C4—614no—
1684C22⋊C4—614no—
1685C22⋊C4—614no—
1686C22⋊C4C23×D6114yes—
1687C22⋊C4C23×D6114yes—
1688C22⋊C4C23×D6114yes—
1689C22⋊C4C23×D6114yes—
1690C22⋊C4C23×D6114yes—
1691C22⋊C4C23×D6114yes—
1692C22⋊C4C23×D6114yes—
1693C22⋊C4C23×D6114yes—
1694C22⋊C4C23×D6114yes—
1695C22⋊C4C23×D6114yes—
1696C42—614no—
1697C42—614no—
1698C42—614no—
1699C42—614no—
1700C42—614no—
1701C42—614no—
1702C42—614no—
1703C42—614no—
1704C42—614no—
1705C42—614no—
1706C42—614no—
1707C42—614no—
1708C42—614no—
1709C42—614no—
1710C42C23×D6114yes—
1711C42C23×D6114yes—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—612no—
1722C23—612no—
1723C23—612no—
1724C23—612no—
1725C23—1222no—
1726C23—1222no—
1727C23—1222no—
1728C23—1222no—
1729C23—1222no—
1730C23—1222no—
1731C23—1222no—
1732C23—1222no—
1733C23—1222no—
1734C23—1222no—
1735C23—1222no—
1736C23—1222no—
1737C23—4888no—
1738C23—2444no—
1739C23—2444no—
1740C23—2444no—
1741C23C24×D6112yes—
1742C23C24×D6112yes—
1743C23C24×D6112yes—
1744C23C24×D6111yescharacteristic
1745Q8—44no—
1746Q8—2444no—
1747Q8—2444no—
1748Q8—2444no—
1749Q8—2444no—
1750Q8—2444no—
1751D4—44no—
1752D4—44no—
1753D4—44no—
1754D4—2444no—
1755D4—2444no—
1756D4—2444no—
1757D4—2444no—
1758D4—2444no—
1759D4—2444no—
1760D4—2444no—
1761D4—2444no—
1762D4—2444no—
1763D4—2444no—
1764D4—2444no—
1765D4—2444no—
1766D4—2444no—
1767D4—2444no—
1768D4—2444no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—612no—
1787C2×C4—612no—
1788C2×C4—612no—
1789C2×C4—612no—
1790C2×C4—612no—
1791C2×C4—612no—
1792C2×C4—612no—
1793C2×C4—612no—
1794C2×C4—612no—
1795C2×C4—612no—
1796C2×C4—612no—
1797C2×C4—612no—
1798C2×C4—1222no—
1799C2×C4—1222no—
1800C2×C4—1222no—
1801C2×C4—1222no—
1802C2×C4—1222no—
1803C2×C4—1222no—
1804C2×C4—1222no—
1805C2×C4—1222no—
1806C2×C4—1222no—
1807C2×C4—1222no—
1808C2×C4—1222no—
1809C2×C4—1222no—
1810C2×C4—2444no—
1811C2×C4—2444no—
1812C2×C4—2444no—
1813C2×C4—2444no—
1814C2×C4—2444no—
1815C2×C4—2444no—
1816C2×C4—2444no—
1817C2×C4—2444no—
1818C2×C4—2444no—
1819C2×C4—2444no—
1820C2×C4—2444no—
1821C2×C4—2444no—
1822C2×C4—2444no—
1823C2×C4C24×D6112yes—
1824C2×C4C24×D6112yes—
1825C2×C4C24×D6112yes—
1826C2×C4C24×D6112yes—
1827C2×C4C24×D6112yes—
1828C2×C4C24×D6112yes—
1829C2×C4C24×D6112yes—
1830C2×C4C24×D6112yes—
1831C2×C4C24×D6112yes—
1832C2×C4C24×D6112yes—
1833C2×C4C24×D6112yes—
1834C2×C4C24×D6112yes—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—44no—
1845C22—44no—
1846C22—44no—
1847C22—1222no—
1848C22—1222no—
1849C22—1222no—
1850C22—1222no—
1851C22—1222no—
1852C22—1222no—
1853C22—1222no—
1854C22—1222no—
1855C22—1222no—
1856C22—1222no—
1857C22—1222no—
1858C22—1222no—
1859C22—4888no—
1860C22—2444no—
1861C22—2444no—
1862C22—2444no—
1863C22—2444no—
1864C22#1684059712yes—
1865C22#1684059812yes—
1866C22#1684059912yes—
1867C22C25×D6111yescharacteristic
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—22no—
1880C4—1222no—
1881C4—1222no—
1882C4—1222no—
1883C4—1222no—
1884C4—1222no—
1885C4—1222no—
1886C4—1222no—
1887C4—1222no—
1888C4—1222no—
1889C4—1222no—
1890C4—1222no—
1891C4—1222no—
1892C2—42no—
1893C2—42no—
1894C2—42no—
1895C2—2442no—
1896C2—2442no—
1897C2—2442no—
1898C2—2442no—
1899C2#2146047514yesdirect product factor
1900C2C2×#1684059711yescharacteristic
1901C2C2×#1684059811yescharacteristic
1902C2C2×#1684059911yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#539C2
socleC23×C61C25
hypercenterC2×#539D61
hypocenterC61C2×#3566
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #21460475C2direct (N × H)
2. C2×#16840514C2semidirect
3. C2×#16840509C2semidirect
4. C2×#16840509C2semidirect
5. C2×#16840500C2semidirect
6. C2×#16840496C2semidirect
7. C2×#16840479C2semidirect
8. C2×#16840477C2semidirect
9. C2×#16840463C2semidirect
10. C2×#16840460C2semidirect
11. C2×#16840459C2semidirect
12. C2×#16840450C2semidirect
13. C2×#16840447C2semidirect
14. C2×#16840444C2semidirect
15. C2×#16840441C2semidirect
16. C2×#16840437C2semidirect
17. C2×#16840435C2semidirect
18. C2×#16840385C2semidirect
19. C2×#16840382C2semidirect
20. C2×#16840382C2semidirect
21. C2×#16840375C2semidirect
22. C2×#16840372C2semidirect
23. C2×#16840363C2semidirect
24. C2×#16840360C2semidirect
25. C2×#16840355C2semidirect
26. C2×#16840352C2semidirect
27. C2×#16840348C2semidirect
28. C2×#16840348C2semidirect
29. C2×#16840298C2semidirect
30. C2×#16840292C2semidirect
31. C2×#16840289C2semidirect
32. C2×C61×#539C2semidirect
33. #16840514C22semidirect
34. #16840509C22semidirect
35. #16840509C22semidirect
36. #16840500C22semidirect
37. #16840496C22semidirect
38. #16840479C22semidirect
39. #16840477C22semidirect
40. #16840463C22semidirect
41. #16840460C22semidirect
42. #16840459C22semidirect
43. #16840450C22semidirect
44. #16840447C22semidirect
45. #16840444C22semidirect
46. #16840441C22semidirect
47. #16840437C22semidirect
48. #16840435C22semidirect
49. #16840385C22semidirect
50. #16840382C22semidirect
51. #16840382C22semidirect
52. #16840375C22semidirect
53. #16840372C22semidirect
54. #16840363C22semidirect
55. #16840360C22semidirect
56. #16840355C22semidirect
57. #16840352C22semidirect
58. #16840348C22semidirect
59. #16840348C22semidirect
60. C2×#14519777C22semidirect
61. C2×#14519776C22semidirect
62. C2×#14519775C22semidirect
64. #16840298C22semidirect
65. #16840292C22semidirect
66. #16840289C22semidirect
75. C2×#14519772C22semidirect
76. C2×#14519772C22semidirect
77. C2×#14519772C22semidirect
83. C2×#14519770C22semidirect
84. C2×#14519770C22semidirect
85. C2×#14519768C22semidirect
86. C2×#14519768C22semidirect
87. C2×#14519768C22semidirect
88. C2×#14519768C22semidirect
89. C2×#14519768C22semidirect
90. C2×#14519768C22semidirect
91. C2×#14519767C22semidirect
92. C2×#14519767C22semidirect
93. C2×#14519767C22semidirect
94. C2×#14519767C22semidirect
104. C2×#14519763C22semidirect
105. C2×#14519763C22semidirect
106. C2×#14519763C22semidirect
114. C2×#14519762C22semidirect
117. C2×#14519761C22semidirect
120. C2×#14519760C22semidirect
124. C2×#14519759C22semidirect
126. C2×#14519758C22semidirect
131. C2×#14519757C22semidirect
133. C2×#14519756C22semidirect
136. C2×#14519755C22semidirect
137. C2×#14519755C22semidirect
138. C2×#14519755C22semidirect
140. C2×#14519754C22semidirect
141. C2×#14519754C22semidirect
148. C2×#14519751C22semidirect
152. C2×#14519750C22semidirect
158. C2×#14519748C22semidirect
163. C2×Q8×Dic61C22semidirect
164. C2×C4×Dic122C22semidirect
165. C2×#14519742C22semidirect
166. C2×#14519742C22semidirect
167. C2×#14519742C22semidirect
168. C2×#14519742C22semidirect
170. C2×C4×D244C22semidirect
178. C2×C4×C22⋊D61C22semidirect
179. C2×C4×C22⋊D61C22semidirect
183. C2×#14519737C22semidirect
184. C2×#14519737C22semidirect
186. C2×#14519736C22semidirect
187. C2×#14519736C22semidirect
190. C2×#14519735C22semidirect
191. C2×#14519735C22semidirect
192. C2×#14519735C22semidirect
195. C2×#14519734C22semidirect
197. C2×C4⋊C4×D61C22semidirect
198. C2×C4⋊C4×D61C22semidirect
202. C22×C4×Dic61C22semidirect
203. C61×#539C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#125×C61C22semidirect
207. C2×#125×C61C22semidirect
211. C2×#123×C61C22semidirect
213. C2×C22⋊Q8×C61C22semidirect
214. C2×C22⋊Q8×C61C22semidirect
217. C2×C4×D4×C61C22semidirect
218. C22×C4⋊C4×C61C22semidirect
253. #14519777C23semidirect
254. #14519776C23semidirect
255. #14519775C23semidirect
265. #14519772C23semidirect
266. #14519772C23semidirect
267. #14519772C23semidirect
273. #14519770C23semidirect
274. #14519770C23semidirect
275. #14519768C23semidirect
276. #14519768C23semidirect
277. #14519768C23semidirect
278. #14519768C23semidirect
279. #14519768C23semidirect
280. #14519768C23semidirect
281. #14519767C23semidirect
282. #14519767C23semidirect
283. #14519767C23semidirect
284. #14519767C23semidirect
294. #14519763C23semidirect
295. #14519763C23semidirect
296. #14519763C23semidirect
304. #14519762C23semidirect
307. #14519761C23semidirect
310. #14519760C23semidirect
314. #14519759C23semidirect
316. #14519758C23semidirect
321. #14519757C23semidirect
323. #14519756C23semidirect
326. #14519755C23semidirect
327. #14519755C23semidirect
328. #14519755C23semidirect
330. #14519754C23semidirect
331. #14519754C23semidirect
338. #14519751C23semidirect
342. #14519750C23semidirect
348. #14519748C23semidirect
353. Q8×Dic61C23semidirect
354. C4×Dic122C23semidirect
355. #14519742C23semidirect
356. #14519742C23semidirect
357. #14519742C23semidirect
358. #14519742C23semidirect
360. C4×D244C23semidirect
368. C4×C22⋊D61C23semidirect
369. C4×C22⋊D61C23semidirect
373. #14519737C23semidirect
374. #14519737C23semidirect
376. #14519736C23semidirect
377. #14519736C23semidirect
380. #14519735C23semidirect
381. #14519735C23semidirect
382. #14519735C23semidirect
385. #14519734C23semidirect
421. C4⋊C4×D61C23semidirect
422. C4⋊C4×D61C23semidirect
478. C2×C4×Dic61C23semidirect
489. #126×C61C23semidirect
490. #125×C61C23semidirect
491. #125×C61C23semidirect
495. #123×C61C23semidirect
497. C22⋊Q8×C61C23semidirect
498. C22⋊Q8×C61C23semidirect
501. C4×D4×C61C23semidirect
516. C2×C4⋊C4×C61C23semidirect
966. C2×#539D61semidirect
976. C2×C61#3566semidirect
1008. #539C2×D61semidirect
1038. C2×#126C2×D61semidirect
1049. C2×#125C2×D61semidirect
1050. C2×#125C2×D61semidirect
1086. C2×#123C2×D61semidirect
1103. C2×C22⋊Q8C2×D61semidirect
1104. C2×C22⋊Q8C2×D61semidirect
1150. C2×C4×D4C2×D61semidirect
1165. C22×C4⋊C4C2×D61semidirect
1170. C61C2×#3566semidirect
1237. #126C22×D61semidirect
1248. #125C22×D61semidirect
1249. #125C22×D61semidirect
1285. #123C22×D61semidirect
1302. C22⋊Q8C22×D61semidirect
1303. C22⋊Q8C22×D61semidirect
1349. C4×D4C22×D61semidirect
1412. C2×C4⋊C4C22×D61semidirect
1899. C2#21460475direct (N × H)

Maximal subgroups

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

subgroupindex
#214604752
C2×#168405142
C2×#168405092
C2×#168405002
C2×#168404962
C2×#168404792
C2×#168404772
C2×#168404632
C2×#168404602
C2×#168404592
C2×#168404502
C2×#168404472
C2×#168404442
C2×#168404412
C2×#168404372
C2×#168404352
C2×#168403852
C2×#168403822
C2×#168403752
C2×#168403722
C2×#168403632
C2×#168403602
C2×#168403552
C2×#168403522
C2×#168403482
C2×#168402982
C2×#168402922
C2×#168402892
C2×C61×#5392
C2×#356661