Finite Group Databasebeta

← C2×#21460027 #30587221

Subgroups — C2×#21460027 #30587221

Order 15616.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460027C2132yesmaximal, direct product factor
2C2×#16840515C211yesmaximal, characteristic, complemented
3C2×#16840514C211yesmaximal, characteristic, complemented
4C2×#16840509C211yesmaximal, characteristic, complemented
5C2×#16840507C211yesmaximal, characteristic, complemented
6C2×#16840468C211yesmaximal, characteristic, complemented
7C2×#16840467C211yesmaximal, characteristic, complemented
8C2×#16840448C211yesmaximal, characteristic, complemented
9C2×#16840444C211yesmaximal, characteristic, complemented
10C2×#16840441C211yesmaximal, characteristic, complemented
11C2×#16840440C211yesmaximal, characteristic, complemented
12C2×#16840437C211yesmaximal, characteristic, complemented
13C2×#16840437C211yesmaximal, characteristic, complemented
14C2×#16840417C211yesmaximal, characteristic, complemented
15C2×#16840413C211yesmaximal, characteristic, complemented
16C2×#16840409C211yesmaximal, characteristic, complemented
17C2×#16840404C211yesmaximal, characteristic, complemented
18C2×#16840392C211yesmaximal, characteristic, complemented
19C2×#16840387C211yesmaximal, characteristic, complemented
20C2×#16840380C211yesmaximal, characteristic, complemented
21C2×#16840377C211yesmaximal, characteristic, complemented
22C2×#16840360C211yesmaximal, characteristic, complemented
23C2×#16840358C211yesmaximal, characteristic, complemented
24C2×#16840358C211yesmaximal, characteristic, complemented
25C2×#16840355C211yesmaximal, characteristic, complemented
26C2×#16840348C211yesmaximal, characteristic, complemented
27C2×#16840335C211yesmaximal, characteristic, complemented
28C2×#16840335C211yesmaximal, characteristic, complemented
29C2×#16840271C211yesmaximal, characteristic, complemented
30C2×#123×D61C211yesmaximal, characteristic, complemented
31C2×C22⋊Q8×D61C211yesmaximal, characteristic, complemented
32C2×C61×#539C211yesmaximal, characteristic, complemented
33C22×#11758222C2211yescharacteristic
34C22×#11758222C2211yescharacteristic
35C22×#11758222C2211yescharacteristic, complemented
36C22×Q8×D61C2211yescharacteristic, complemented
37C22×D4×D61C2211yescharacteristic
38C23×C4×D61C2211yescharacteristic
39#16840515C22116yescomplemented
40#16840514C22116yescomplemented
41#16840509C22116yescomplemented
42#16840507C22116yescomplemented
43#16840468C22116yescomplemented
44#16840467C22116yescomplemented
45#16840448C22116yescomplemented
46#16840444C22116yescomplemented
47#16840441C22116yescomplemented
48#16840440C22116yescomplemented
49#16840437C22116yescomplemented
50#16840437C22116yescomplemented
51#16840417C22116yescomplemented
52#16840413C22116yescomplemented
53#16840409C22116yescomplemented
54#16840404C22116yescomplemented
55#16840392C22116yescomplemented
56#16840387C22116yescomplemented
57#16840380C22116yescomplemented
58#16840377C22116yescomplemented
59#16840360C22116yescomplemented
60#16840358C22116yescomplemented
61#16840358C22116yescomplemented
62#16840355C22116yescomplemented
63#16840348C22116yescomplemented
64#16840335C22116yescomplemented
65#16840335C22116yescomplemented
66C2×#14519777C2211yescharacteristic, complemented
67C2×#14519776C2211yescharacteristic, complemented
68C2×#14519776C2211yescharacteristic, complemented
69C2×#14519776C2211yescharacteristic, complemented
70C2×#14519776C2211yescharacteristic, complemented
71C2×#14519776C2211yescharacteristic, complemented
72C2×#14519772C2211yescharacteristic, complemented
73C2×#14519772C2211yescharacteristic, complemented
74C2×#14519772C2211yescharacteristic, complemented
75C2×#14519771C2211yescharacteristic, complemented
76C2×#14519770C2211yescharacteristic, complemented
77C2×#14519770C2211yescharacteristic, complemented
78C2×#14519770C2211yescharacteristic, complemented
79C2×#14519770C2211yescharacteristic, complemented
80C2×#14519770C2211yescharacteristic, complemented
81C2×#14519770C2211yescharacteristic, complemented
82C2×#14519768C2211yescharacteristic, complemented
83C2×#14519768C2211yescharacteristic, complemented
84C2×#14519767C2211yescharacteristic, complemented
85C2×#14519767C2211yescharacteristic, complemented
86C2×#14519767C2211yescharacteristic, complemented
87C2×#14519767C2211yescharacteristic, complemented
88C2×#14519767C2211yescharacteristic, complemented
89C2×#14519767C2211yescharacteristic, complemented
90C2×#14519764C2211yescharacteristic
91C2×#14519764C2211yescharacteristic, complemented
92C2×#14519763C2211yescharacteristic
93C2×#14519763C2211yescharacteristic, complemented
94C2×#14519763C2211yescharacteristic, complemented
95C2×#14519763C2211yescharacteristic, complemented
96C2×#14519763C2211yescharacteristic, complemented
97C2×#14519763C2211yescharacteristic, complemented
98#16840271C22116yescomplemented
99C2×#14519762C2211yescharacteristic
100C2×#14519762C2211yescharacteristic
101C2×#14519762C2211yescharacteristic
102C2×#14519762C2211yescharacteristic
103C2×#14519762C2211yescharacteristic, complemented
104C2×#14519762C2211yescharacteristic, complemented
105C2×#14519762C2211yescharacteristic, complemented
106C2×#14519762C2211yescharacteristic, complemented
107C2×#14519761C2211yescharacteristic
108C2×#14519760C2211yescharacteristic
109C2×#14519760C2211yescharacteristic, complemented
110C2×#14519760C2211yescharacteristic, complemented
111C2×#14519759C2211yescharacteristic
112C2×#14519759C2211yescharacteristic
113C2×#14519759C2211yescharacteristic
114C2×#14519759C2211yescharacteristic
115C2×#14519759C2211yescharacteristic
116C2×#14519759C2211yescharacteristic, complemented
117C2×#14519759C2211yescharacteristic, complemented
118C2×#14519759C2211yescharacteristic, complemented
119C2×#14519759C2211yescharacteristic, complemented
120C2×#14519759C2211yescharacteristic, complemented
121C2×#14519758C2211yescharacteristic
122C2×#14519758C2211yescharacteristic, complemented
123#123×D61C22116yescomplemented
124C2×#14519757C2211yescharacteristic
125C2×#14519757C2211yescharacteristic
126C2×#14519757C2211yescharacteristic
127C2×#14519757C2211yescharacteristic, complemented
128C2×#14519757C2211yescharacteristic, complemented
129C2×#14519757C2211yescharacteristic, complemented
130C2×#14519756C2211yescharacteristic, complemented
131C2×#14519756C2211yescharacteristic, complemented
132C2×#14519756C2211yescharacteristic, complemented
133C2×#14519756C2211yescharacteristic, complemented
134C2×#14519756C2211yescharacteristic, complemented
135C2×#14519756C2211yescharacteristic, complemented
136C2×#14519755C2211yescharacteristic
137C2×#14519755C2211yescharacteristic
138C2×#14519755C2211yescharacteristic
139C2×#14519755C2211yescharacteristic
140C2×#14519755C2211yescharacteristic
141C2×#14519755C2211yescharacteristic, complemented
142C2×#14519755C2211yescharacteristic, complemented
143C2×#14519755C2211yescharacteristic, complemented
144C2×#14519755C2211yescharacteristic, complemented
145C2×#14519755C2211yescharacteristic, complemented
146C2×#14519755C2211yescharacteristic, complemented
147C2×#14519754C2211yescharacteristic, complemented
148C2×#14519754C2211yescharacteristic, complemented
149C2×#14519754C2211yescharacteristic, complemented
150C2×#14519754C2211yescharacteristic, complemented
151C2×#14519754C2211yescharacteristic, complemented
152C2×#14519753C2211yescharacteristic
153C2×#14519753C2211yescharacteristic, complemented
154C2×#14519753C2211yescharacteristic, complemented
155C22⋊Q8×D61C22116yescomplemented
156C2×#14519752C2211yescharacteristic
157C2×#14519751C2211yescharacteristic, complemented
158C2×#14519750C2211yescharacteristic
159C2×#14519750C2211yescharacteristic
160C2×#14519749C2211yescharacteristic
161C2×#14519749C2211yescharacteristic, complemented
162C2×#14519748C2211yescharacteristic
163C2×#14519748C2211yescharacteristic
164C2×#14519748C2211yescharacteristic, complemented
165C2×#14519747C2211yescharacteristic
166C2×#14519747C2211yescharacteristic
167C2×#14519745C2211yescharacteristic
168C2×#14519745C2211yescharacteristic
169C2×C4×Dic122C2211yescharacteristic, complemented
170C2×#14519742C2211yescharacteristic, complemented
171C2×C4×D244C2211yescharacteristic
172C2×C4×D244C2211yescharacteristic, complemented
173C2×#14519739C2211yescharacteristic
174C2×#14519739C2211yescharacteristic
175C2×#14519739C2211yescharacteristic
176C2×#14519739C2211yescharacteristic, complemented
177C2×C4×C22⋊D61C2211yescharacteristic
178C2×C4×C22⋊D61C2211yescharacteristic
179C2×C4×C22⋊D61C2211yescharacteristic
180C2×C4×C22⋊D61C2211yescharacteristic, complemented
181C2×C4×C22⋊D61C2211yescharacteristic, complemented
182C2×#14519737C2211yescharacteristic
183C2×#14519735C2211yescharacteristic
184C2×#14519735C2211yescharacteristic, complemented
185C2×#14519735C2211yescharacteristic, complemented
186C2×#14519734C2211yescharacteristic
187C2×#14519734C2211yescharacteristic, complemented
188C2×#14519734C2211yescharacteristic, complemented
189C2×#14519733C2211yescharacteristic, complemented
190C2×C4⋊C4×D61C2211yescharacteristic
191C2×C4⋊C4×D61C2211yescharacteristic
192C2×C4⋊C4×D61C2211yescharacteristic, complemented
193C2×C4⋊C4×D61C2211yescharacteristic, complemented
194C2×C4⋊C4×D61C2211yescharacteristic, complemented
195C2×C4⋊C4×D61C2211yescharacteristic, complemented
196C22×#11758198C2211yescharacteristic
197C2×C22⋊C4×D61C2211yescharacteristic
198C2×C22⋊C4×D61C2211yescharacteristic
199C2×C22⋊C4×D61C2211yescharacteristic
200C2×C22⋊C4×D61C2211yescharacteristic
201C2×C22⋊C4×D61C2211yescharacteristic
202C2×C22⋊C4×D61C2211yescharacteristic
203C61×#539C22116yescomplemented
204C2×#126×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#125×C61C2211yescharacteristic, complemented
207C2×#125×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic
209C2×#123×C61C2211yescharacteristic
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×D4×C61C2211yescharacteristic, complemented
217C2×C4×D4×C61C2211yescharacteristic, complemented
218C22×C4⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C2×#11758222—44no—
222C2×#11758222—44no—
223C2×#11758222—44no—
224C2×#11758222C2318yes—
225C2×#11758222C2318yes—
226C2×#11758222C2318yescomplemented
227C22×Dic122C2311yescharacteristic
228C22×Dic122C2311yescharacteristic
229C22×Dic122C2311yescharacteristic
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2311yescharacteristic
232C22×Dic122C2311yescharacteristic
233C22×Dic122C2311yescharacteristic
234C22×Dic122C2311yescharacteristic
235C2×Q8×D61—44no—
236C2×Q8×D61C2318yescomplemented
237C22×D244C2311yescharacteristic
238C22×D244C2311yescharacteristic
239C22×D244C2311yescharacteristic
240C22×D244C2311yescharacteristic
241C22×C22⋊D61C2311yescharacteristic
242C22×C22⋊D61C2311yescharacteristic
243C22×C22⋊D61C2311yescharacteristic
244C22×C22⋊D61C2311yescharacteristic
245C22×C22⋊D61C2311yescharacteristic
246C22×C22⋊D61C2311yescharacteristic
247C22×C22⋊D61C2311yescharacteristic
248C22×C22⋊D61C2311yescharacteristic
249C2×D4×D61—44no—
250C2×D4×D61C2318yes—
251C23×Dic61C2311yescharacteristic
252C23×Dic61C2311yescharacteristic
253C22×C4×D61—44no—
254C22×C4×D61C2311yescharacteristic
255C22×C4×D61C2311yescharacteristic
256C22×C4×D61C2311yescharacteristic
257C22×C4×D61C2311yescharacteristic
258C22×C4×D61C2311yescharacteristic
259C22×C4×D61C2311yescharacteristic
260C22×C4×D61C2311yescharacteristic
261C22×C4×D61C2311yescharacteristic
262C22×C4×D61C2311yescharacteristic
263C22×C4×D61C2311yescharacteristic
264C22×C4×D61C2311yescharacteristic
265C22×C4×D61C2311yescharacteristic
266C22×C4×D61C2311yescharacteristic
267C22×C4×D61C2311yescharacteristic
268C22×C4×D61C2311yescharacteristic
269C22×C4×D61C2311yescharacteristic
270C22×C4×D61C2318yes—
271#14519777C2318yescomplemented
272#14519776C2318yescomplemented
273#14519776C2318yescomplemented
274#14519776C2318yescomplemented
275#14519776C2318yescomplemented
276#14519776C2318yescomplemented
277#14519772C2318yescomplemented
278#14519772C2318yescomplemented
279#14519772C2318yescomplemented
280#14519771C2318yescomplemented
281#14519770C2318yescomplemented
282#14519770C2318yescomplemented
283#14519770C2318yescomplemented
284#14519770C2318yescomplemented
285#14519770C2318yescomplemented
286#14519770C2318yescomplemented
287#14519768C2318yescomplemented
288#14519768C2318yescomplemented
289#14519767C2318yescomplemented
290#14519767C2318yescomplemented
291#14519767C2318yescomplemented
292#14519767C2318yescomplemented
293#14519767C2318yescomplemented
294#14519767C2318yescomplemented
295#14519764C2318yes—
296#14519764C2318yescomplemented
297#14519763C2318yes—
298#14519763C2318yescomplemented
299#14519763C2318yescomplemented
300#14519763C2318yescomplemented
301#14519763C2318yescomplemented
302#14519763C2318yescomplemented
303#14519762C2318yes—
304#14519762C2318yes—
305#14519762C2318yes—
306#14519762C2318yes—
307#14519762C2318yescomplemented
308#14519762C2318yescomplemented
309#14519762C2318yescomplemented
310#14519762C2318yescomplemented
311#14519761C2318yes—
312#14519760C2318yes—
313#14519760C2318yescomplemented
314#14519760C2318yescomplemented
315#14519759C2318yes—
316#14519759C2318yes—
317#14519759C2318yes—
318#14519759C2318yes—
319#14519759C2318yes—
320#14519759C2318yescomplemented
321#14519759C2318yescomplemented
322#14519759C2318yescomplemented
323#14519759C2318yescomplemented
324#14519759C2318yescomplemented
325#14519758C2318yes—
326#14519758C2318yescomplemented
327#14519757C2318yes—
328#14519757C2318yes—
329#14519757C2318yes—
330#14519757C2318yescomplemented
331#14519757C2318yescomplemented
332#14519757C2318yescomplemented
333#14519756C2318yescomplemented
334#14519756C2318yescomplemented
335#14519756C2318yescomplemented
336#14519756C2318yescomplemented
337#14519756C2318yescomplemented
338#14519756C2318yescomplemented
339#14519755C2318yes—
340#14519755C2318yes—
341#14519755C2318yes—
342#14519755C2318yes—
343#14519755C2318yes—
344#14519755C2318yescomplemented
345#14519755C2318yescomplemented
346#14519755C2318yescomplemented
347#14519755C2318yescomplemented
348#14519755C2318yescomplemented
349#14519755C2318yescomplemented
350#14519754C2318yescomplemented
351#14519754C2318yescomplemented
352#14519754C2318yescomplemented
353#14519754C2318yescomplemented
354#14519754C2318yescomplemented
355#14519753C2318yes—
356#14519753C2318yescomplemented
357#14519753C2318yescomplemented
358#14519752C2318yes—
359#14519751C2318yescomplemented
360#14519750C2318yes—
361#14519750C2318yes—
362#14519749C2318yes—
363#14519749C2318yescomplemented
364#14519748C2318yes—
365#14519748C2318yes—
366#14519748C2318yescomplemented
367#14519747C2318yes—
368#14519747C2318yes—
369#14519745C2318yes—
370#14519745C2318yes—
371C4×Dic122C2318yescomplemented
372#14519742C2318yescomplemented
373C4×D244C2318yes—
374C4×D244C2318yescomplemented
375#14519739C2318yes—
376#14519739C2318yes—
377#14519739C2318yes—
378#14519739C2318yescomplemented
379C4×C22⋊D61C2318yes—
380C4×C22⋊D61C2318yes—
381C4×C22⋊D61C2318yes—
382C4×C22⋊D61C2318yescomplemented
383C4×C22⋊D61C2318yescomplemented
384#14519737C2318yes—
385#14519735C2318yes—
386#14519735C2318yescomplemented
387#14519735C2318yescomplemented
388#14519734C2318yes—
389#14519734C2318yescomplemented
390#14519734C2318yescomplemented
391#14519733C2318yescomplemented
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×C4⋊Dic61C2311yescharacteristic
402C2×C4⋊Dic61C2311yescharacteristic
403C2×C4⋊Dic61C2311yescharacteristic
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
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C4⋊C4×D61C2318yes—
429C4⋊C4×D61C2318yes—
430C4⋊C4×D61C2318yescomplemented
431C4⋊C4×D61C2318yescomplemented
432C4⋊C4×D61C2318yescomplemented
433C4⋊C4×D61C2318yescomplemented
434C2×C22⋊Dic61C2311yescharacteristic
435C2×C22⋊Dic61C2311yescharacteristic
436C2×C22⋊Dic61C2311yescharacteristic
437C2×C22⋊Dic61C2311yescharacteristic
438C2×C22⋊Dic61C2311yescharacteristic
439C2×C22⋊Dic61C2311yescharacteristic
440C2×C22⋊Dic61C2311yescharacteristic
441C2×C22⋊Dic61C2311yescharacteristic
442C2×C22⋊Dic61C2311yescharacteristic
443C2×C22⋊Dic61C2311yescharacteristic
444C2×C22⋊Dic61C2311yescharacteristic
445C2×C22⋊Dic61C2311yescharacteristic
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×#11758198C2318yes—
461C2×#11758198C2311yescharacteristic
462C2×#11758198C2311yescharacteristic
463C2×#11758198C2311yescharacteristic
464C2×#11758198C2311yescharacteristic
465C2×#11758198C2311yescharacteristic
466C2×#11758198C2311yescharacteristic
467C2×#11758198C2311yescharacteristic
468C2×#11758198C2311yescharacteristic
469C2×#11758198C2311yescharacteristic
470C2×#11758198C2311yescharacteristic
471C22⋊C4×D61C2318yes—
472C22⋊C4×D61C2318yes—
473C22⋊C4×D61C2318yes—
474C22⋊C4×D61C2318yes—
475C22⋊C4×D61C2318yes—
476C22⋊C4×D61C2318yes—
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×D4×C61C2311yescharacteristic
487C22×D4×C61C2311yescharacteristic
488C22×D4×C61C2311yescharacteristic
489C23×C4×C61C2311yescharacteristic
490C23×C4×C61C2311yescharacteristic
491C23×C4×C61C2311yescharacteristic
492C23×C4×C61C2311yescharacteristic
493C23×C4×C61C2311yescharacteristic
494#126×C61C2318yescomplemented
495#126×C61C2318yescomplemented
496#125×C61C2318yescomplemented
497#125×C61C2318yescomplemented
498#123×C61C2318yes—
499#123×C61C2318yes—
500#123×C61C2318yescomplemented
501#123×C61C2318yescomplemented
502C22⋊Q8×C61C2318yescomplemented
503C22⋊Q8×C61C2318yescomplemented
504C22⋊Q8×C61C2318yescomplemented
505#121×C61C2318yes—
506C4×D4×C61C2318yescomplemented
507C4×D4×C61C2318yescomplemented
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×C61C2311yescharacteristic
517C2×C4⋊C4×C61C2311yescharacteristic
518C2×C4⋊C4×C61C2311yescharacteristic
519C2×C4⋊C4×C61C2311yescharacteristic
520C2×C4⋊C4×C61C2311yescharacteristic
521C2×C4⋊C4×C61C2311yescharacteristic
522C2×C4⋊C4×C61C2318yescomplemented
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×C22⋊C4×C61C2311yescharacteristic
532C2×C22⋊C4×C61C2311yescharacteristic
533C2×C42×C61C2311yescharacteristic
534C2×C42×C61C2311yescharacteristic
535C24×C61C2411yescharacteristic
536C24×C61C2411yescharacteristic
537C24×C61C2411yescharacteristic
538C23×D61—24no—
539C23×D61—24no—
540C23×D61—24no—
541C23×D61—42no—
542C23×D61—42no—
543C23×D61—42no—
544C23×D61C2411yescharacteristic
545C23×D61C2411yescharacteristic
546C23×D61C2414yes—
547C23×D61C2411yescharacteristic
548C23×D61C2411yescharacteristic
549C23×D61C2414yes—
550C2×Q8×C61—42no—
551C2×Q8×C61C2414yes—
552C2×D4×C61—42no—
553C2×D4×C61—42no—
554C2×D4×C61—42no—
555C2×D4×C61C2414yes—
556C2×D4×C61C2414yes—
557C2×D4×C61C2414yes—
558C22×C4×C61—42no—
559C22×C4×C61—42no—
560C22×C4×C61—42no—
561C22×C4×C61—42no—
562C22×C4×C61—42no—
563C22×C4×C61C2411yescharacteristic
564C22×C4×C61C2411yescharacteristic
565C22×C4×C61C2411yescharacteristic
566C22×C4×C61C2411yescharacteristic
567C22×C4×C61C2411yescharacteristic
568C22×C4×C61C2411yescharacteristic
569C22×C4×C61C2411yescharacteristic
570C22×C4×C61C2411yescharacteristic
571C22×C4×C61C2411yescharacteristic
572C22×C4×C61C2411yescharacteristic
573C22×C4×C61C2411yescharacteristic
574C22×C4×C61C2411yescharacteristic
575C22×C4×C61C2414yes—
576C22×C4×C61C2414yes—
577C22×C4×C61C2414yes—
578C22×C4×C61C2414yes—
579C22×C4×C61C2414yes—
580C2×C22⋊D61—24no—
581C2×C22⋊D61—24no—
582C2×C22⋊D61—24no—
583C2×C22⋊D61—42no—
584C2×C22⋊D61—42no—
585C2×C22⋊D61—42no—
586C2×C22⋊D61—42no—
587C2×C22⋊D61—42no—
588C2×C22⋊D61C2414yes—
589C2×C22⋊D61C2414yes—
590C2×C22⋊D61C2414yes—
591C2×C22⋊D61C2414yes—
592C2×C22⋊D61C2414yes—
593C2×C22⋊D61C2414yes—
594C2×C22⋊D61C2414yes—
595C2×C22⋊D61C2414yes—
596C22×Dic61—42no—
597C22×Dic61—42no—
598C22×Dic61C2411yescharacteristic
599C22×Dic61C2411yescharacteristic
600C22×Dic61C2411yescharacteristic
601C22×Dic61C2411yescharacteristic
602C22×Dic61C2411yescharacteristic
603C22×Dic61C2411yescharacteristic
604C22×Dic61C2411yescharacteristic
605C22×Dic61C2411yescharacteristic
606C22×Dic61C2411yescharacteristic
607C22×Dic61C2411yescharacteristic
608C22×Dic61C2411yescharacteristic
609C22×Dic61C2411yescharacteristic
610C22×Dic61C2414yes—
611C22×Dic61C2414yes—
612Q8×D61—416no—
613D4×D61—416no—
614#11758222—416no—
615#11758222—416no—
616#11758222—416no—
617C2×D244—24no—
618C2×D244—24no—
619C2×D244—24no—
620C2×D244—42no—
621C2×D244C2414yes—
622C2×D244C2414yes—
623C2×D244C2414yes—
624C2×D244C2414yes—
625C2×C4×D61—24no—
626C2×C4×D61—24no—
627C2×C4×D61—24no—
628C2×C4×D61—24no—
629C2×C4×D61—24no—
630C2×C4×D61—416no—
631C2×C4×D61—42no—
632C2×C4×D61—42no—
633C2×C4×D61—42no—
634C2×C4×D61—42no—
635C2×C4×D61—42no—
636C2×C4×D61—42no—
637C2×C4×D61—42no—
638C2×C4×D61—42no—
639C2×C4×D61—42no—
640C2×C4×D61—42no—
641C2×C4×D61—42no—
642C2×C4×D61C2414yes—
643C2×C4×D61C2414yes—
644C2×C4×D61C2414yes—
645C2×C4×D61C2414yes—
646C2×C4×D61C2414yes—
647C2×C4×D61C2414yes—
648C2×C4×D61C2414yes—
649C2×C4×D61C2414yes—
650C2×C4×D61C2414yes—
651C2×C4×D61C2414yes—
652C2×C4×D61C2414yes—
653C2×C4×D61C2414yes—
654C2×C4×D61C2414yes—
655C2×C4×D61C2414yes—
656C2×C4×D61C2414yes—
657C2×C4×D61C2414yes—
658C2×Dic122—42no—
659C2×Dic122—42no—
660C2×Dic122—42no—
661C2×Dic122—42no—
662C2×Dic122—42no—
663C2×Dic122—42no—
664C2×Dic122—42no—
665C2×Dic122—42no—
666C2×Dic122C2414yes—
667C2×Dic122C2414yes—
668C2×Dic122C2414yes—
669C2×Dic122C2414yes—
670C2×Dic122C2414yes—
671C2×Dic122C2414yes—
672C2×Dic122C2414yes—
673C2×Dic122C2414yes—
674C4⋊C4×C61C2414yes—
675C4⋊C4×C61C2414yes—
676C4⋊C4×C61C2414yes—
677C4⋊C4×C61C2414yes—
678C4⋊C4×C61C2414yes—
679C4⋊C4×C61C2414yes—
680C4⋊C4×C61C2414yes—
681C4⋊C4×C61C2414yes—
682C4⋊C4×C61C2414yes—
683C4⋊C4×C61C2414yes—
684C4⋊C4×C61C2414yes—
685C4⋊C4×C61C2414yes—
686C4⋊C4×C61C2414yes—
687C4⋊C4×C61C2414yes—
688C22⋊C4×C61C2414yes—
689C22⋊C4×C61C2414yes—
690C22⋊C4×C61C2414yes—
691C22⋊C4×C61C2414yes—
692C22⋊C4×C61C2414yes—
693C22⋊C4×C61C2414yes—
694C22⋊C4×C61C2414yes—
695C22⋊C4×C61C2414yes—
696C22⋊C4×C61C2414yes—
697C22⋊C4×C61C2414yes—
698C42×C61C2414yes—
699C42×C61C2414yes—
700C22⋊Dic61C2414yes—
701C22⋊Dic61C2414yes—
702C22⋊Dic61C2414yes—
703C22⋊Dic61C2414yes—
704C22⋊Dic61C2414yes—
705C22⋊Dic61C2414yes—
706C22⋊Dic61C2414yes—
707C22⋊Dic61C2414yes—
708C22⋊Dic61C2414yes—
709C22⋊Dic61C2414yes—
710C22⋊Dic61C2414yes—
711C22⋊Dic61C2414yes—
712#11758198C2414yes—
713#11758198C2414yes—
714#11758198C2414yes—
715#11758198C2414yes—
716#11758198C2414yes—
717#11758198C2414yes—
718#11758198C2414yes—
719#11758198C2414yes—
720#11758198C2414yes—
721#11758198C2414yes—
722#11758198C2414yes—
723#11758198C2414yes—
724#11758198C2414yes—
725#11758198C2414yes—
726#11758198C2414yes—
727#11758198C2414yes—
728#11758198C2414yes—
729#11758198C2414yes—
730#11758198C2414yes—
731#11758198C2414yes—
732#11758198C2414yes—
733#11758198C2414yes—
734#11758198C2414yes—
735#11758198C2414yes—
736C4⋊Dic61C2414yes—
737C4⋊Dic61C2414yes—
738C4⋊Dic61C2414yes—
739C4⋊Dic61C2414yes—
740C4⋊Dic61C2414yes—
741C4⋊Dic61C2414yes—
742C4⋊Dic61C2414yes—
743C4⋊Dic61C2414yes—
744C4⋊Dic61C2414yes—
745C4⋊Dic61C2414yes—
746C4⋊Dic61C2414yes—
747C4⋊Dic61C2414yes—
748#11758196C2414yes—
749#11758196C2414yes—
750#11758196C2414yes—
751#11758196C2414yes—
752#11758196C2414yes—
753#11758196C2414yes—
754#11758196C2414yes—
755#11758196C2414yes—
756#11758196C2414yes—
757#11758196C2414yes—
758#11758196C2414yes—
759#11758196C2414yes—
760#11758196C2414yes—
761#11758196C2414yes—
762#11758196C2414yes—
763#11758196C2414yes—
764#11758196C2414yes—
765#11758196C2414yes—
766#11758196C2414yes—
767#11758196C2414yes—
768#11758196C2414yes—
769#11758196C2414yes—
770#11758196C2414yes—
771#11758196C2414yes—
772C4×Dic61C2414yes—
773C4×Dic61C2414yes—
774C4×Dic61C2414yes—
775C4×Dic61C2414yes—
776C4×Dic61C2414yes—
777C4×Dic61C2414yes—
778C4×Dic61C2414yes—
779C4×Dic61C2414yes—
780C23×C61—22no—
781C23×C61—22no—
782C23×C61—22no—
783C23×C61—22no—
784C23×C61—22no—
785C23×C61—22no—
786C23×C61—22no—
787C23×C61—22no—
788C23×C61—22no—
789C23×C61C2512yes—
790C23×C61C2512yes—
791C23×C61C2512yes—
792C23×C61C2511yescharacteristic
793C22×D61—22no—
794C22×D61—22no—
795C22×D61—22no—
796C22×D61—22no—
797C22×D61—22no—
798C22×D61—22no—
799C22×D61—22no—
800C22×D61—22no—
801C22×D61—22no—
802C22×D61—22no—
803C22×D61—28no—
804C22×D61—28no—
805C22×D61—28no—
806C22×D61—44no—
807C22×D61—416no—
808C22×D61—44no—
809C22×D61—44no—
810C22×D61—88no—
811C22×D61H(5,𝔽2)14yes—
812C22×D612−1+414yes—
813C22×D61C2512yes—
814C22×D61C2512yes—
815C22×D61C2512yes—
816C22×D61C2512yes—
817Q8×C61—44no—
818D4×C61—44no—
819D4×C61—44no—
820D4×C61—44no—
821C2×C4×C61—22no—
822C2×C4×C61—22no—
823C2×C4×C61—22no—
824C2×C4×C61—22no—
825C2×C4×C61—22no—
826C2×C4×C61—22no—
827C2×C4×C61—22no—
828C2×C4×C61—22no—
829C2×C4×C61—22no—
830C2×C4×C61—22no—
831C2×C4×C61—22no—
832C2×C4×C61—22no—
833C2×C4×C61—44no—
834C2×C4×C61—44no—
835C2×C4×C61—44no—
836C2×C4×C61—44no—
837C2×C4×C61—44no—
838C2×C4×C61C2512yes—
839C2×C4×C61C2512yes—
840C2×C4×C61C2512yes—
841C2×C4×C61C2512yes—
842C2×C4×C61C2512yes—
843C2×C4×C61C2512yes—
844C2×C4×C61C2512yes—
845C2×C4×C61C2512yes—
846C2×C4×C61C2512yes—
847C2×C4×C61C2512yes—
848C2×C4×C61C2512yes—
849C2×C4×C61C2512yes—
850C22⋊D61—28no—
851C22⋊D61—28no—
852C22⋊D61—28no—
853C22⋊D61—44no—
854C22⋊D61—44no—
855C22⋊D61—44no—
856C22⋊D61—44no—
857C22⋊D61—44no—
858C2×Dic61—22no—
859C2×Dic61—22no—
860C2×Dic61—22no—
861C2×Dic61—22no—
862C2×Dic61—22no—
863C2×Dic61—22no—
864C2×Dic61—22no—
865C2×Dic61—22no—
866C2×Dic61—22no—
867C2×Dic61—22no—
868C2×Dic61—22no—
869C2×Dic61—22no—
870C2×Dic61—44no—
871C2×Dic61—44no—
872C2×Dic61C2512yes—
873C2×Dic61C2512yes—
874C2×Dic61C2512yes—
875C2×Dic61C2512yes—
876C2×Dic61C2512yes—
877C2×Dic61C2512yes—
878C2×Dic61C2512yes—
879C2×Dic61C2512yes—
880C2×Dic61C2512yes—
881C2×Dic61C2512yes—
882C2×Dic61C2512yes—
883C2×Dic61C2512yes—
884D244—28no—
885D244—28no—
886D244—28no—
887D244—44no—
888C4×D61—28no—
889C4×D61—28no—
890C4×D61—28no—
891C4×D61—28no—
892C4×D61—28no—
893C4×D61—44no—
894C4×D61—44no—
895C4×D61—44no—
896C4×D61—44no—
897C4×D61—44no—
898C4×D61—44no—
899C4×D61—44no—
900C4×D61—44no—
901C4×D61—44no—
902C4×D61—44no—
903C4×D61—44no—
904Dic122—44no—
905Dic122—44no—
906Dic122—44no—
907Dic122—44no—
908Dic122—44no—
909Dic122—44no—
910Dic122—44no—
911Dic122—44no—
912C2×#3535—611nomaximal, Sylow
913C22×C61—22no—
914C22×C61—22no—
915C22×C61—22no—
916C22×C61—22no—
917C22×C61—22no—
918C22×C61—22no—
919C22×C61—22no—
920C22×C61—22no—
921C22×C61—22no—
922C22×C61—44no—
923C22×C61—44no—
924C22×C61—44no—
925C22×C61C2×H(5,𝔽2)12yes—
926C22×C61C2×2−1+412yes—
927C22×C61#58512yes—
928C22×C61C2611yescharacteristic
929C2×D61—22no—
930C2×D61—22no—
931C2×D61—22no—
932C2×D61—22no—
933C2×D61—28no—
934C2×D61—28no—
935C2×D61—22no—
936C2×D61—22no—
937C2×D61—22no—
938C2×D61—22no—
939C2×D61—22no—
940C2×D61—22no—
941C2×D61—416no—
942C2×D61—44no—
943C2×D61—44no—
944C2×D61—88no—
945C2×D61C2×H(5,𝔽2)14yes—
946C2×D61C2×2−1+414yes—
947C4×C61—22no—
948C4×C61—22no—
949C4×C61—22no—
950C4×C61—22no—
951C4×C61—22no—
952C4×C61—22no—
953C4×C61—22no—
954C4×C61—22no—
955C4×C61—22no—
956C4×C61—22no—
957C4×C61—22no—
958C4×C61—22no—
959Dic61—22no—
960Dic61—22no—
961Dic61—22no—
962Dic61—22no—
963Dic61—22no—
964Dic61—22no—
965Dic61—22no—
966Dic61—22no—
967Dic61—22no—
968Dic61—22no—
969Dic61—22no—
970Dic61—22no—
971#3535—6132no—
972C2×#563—611no—
973C2×#563—611no—
974C2×#562—611no—
975C2×#562—611no—
976C2×#554—611no—
977C2×#554—611no—
978C2×#552—611no—
979C2×#552—611no—
980C2×#551—611no—
981C2×#551—611no—
982C2×#551—611no—
983C2×#551—611no—
984C2×#547—611no—
985C2×#547—611no—
986C2×#546—611no—
987C2×#546—611no—
988C2×#544—611no—
989C2×#543—611no—
990C2×#542—611no—
991C2×#542—611no—
992C2×#539—611no—
993C2×#539—611no—
994C2×#539—611no—
995C2×#539—611no—
996C2×#539D6111yescharacteristic, complemented
997C2×#538—611no—
998C2×#536—611no—
999C2×#536—611no—
1000C2×#525—611no—
1001C22×#123—611no—
1002C22×C22⋊Q8—611no—
1003C2×C61—42no—
1004C2×C61—42no—
1005C2×C61—42no—
1006C2×C61#353514yescomplemented
1007C2×C61C22×H(5,𝔽2)11yescharacteristic
1008C2×C61C22×2−1+411yescharacteristic
1009C2×C61C2×#58511yescharacteristic
1010D61—24no—
1011D61—24no—
1012D61—42no—
1013D61—42no—
1014C22×#41—611no—
1015C22×#41—611no—
1016C22×#41—611no—
1017C23×Q8—611no—
1018C23×D4—611no—
1019C24×C4—611no—
1020#563—6116no—
1021#563—6116no—
1022#562—6116no—
1023#562—6116no—
1024#554—6116no—
1025#554—6116no—
1026#552—6116no—
1027#552—6116no—
1028#551—6116no—
1029#551—6116no—
1030#551—6116no—
1031#551—6116no—
1032#547—6116no—
1033#547—6116no—
1034#546—6116no—
1035#546—6116no—
1036#544—6116no—
1037#543—6116no—
1038#542—6116no—
1039#542—6116no—
1040#539—6116no—
1041#539—6116no—
1042#539—6116no—
1043#539—6116no—
1044#539C2×D61116yescomplemented
1045#538—6116no—
1046#536—6116no—
1047#536—6116no—
1048C2×C4⋊Q8—611no—
1049C2×C4⋊Q8—611no—
1050C2×C4⋊Q8—611no—
1051C2×C4⋊Q8—611no—
1052C2×C4⋊Q8—611no—
1053C2×C4⋊Q8—611no—
1054C2×#126—611no—
1055C2×#126—611no—
1056C2×#126—611no—
1057C2×#126—611no—
1058C2×#126—611no—
1059C2×#126—611no—
1060C2×#126—611no—
1061C2×#126—611no—
1062C2×#126—611no—
1063C2×#126—611no—
1064C2×#126C2×D6111yescharacteristic, complemented
1065C2×#126C2×D6111yescharacteristic, complemented
1066C2×#125—611no—
1067C2×#125—611no—
1068C2×#125—611no—
1069C2×#125—611no—
1070C2×#125—611no—
1071C2×#125—611no—
1072C2×#125—611no—
1073C2×#125—611no—
1074C2×#125C2×D6111yescharacteristic, complemented
1075C2×#125C2×D6111yescharacteristic, complemented
1076C2×#124—611no—
1077C2×#124—611no—
1078C2×#124—611no—
1079C2×#124—611no—
1080C2×#124—611no—
1081C2×#124—611no—
1082C2×#124—611no—
1083C2×#124—611no—
1084#525—6116no—
1085C2×#123—611no—
1086C2×#123—611no—
1087C2×#123—611no—
1088C2×#123—611no—
1089C2×#123—611no—
1090C2×#123—6116no—
1091C2×#123—611no—
1092C2×#123—611no—
1093C2×#123—611no—
1094C2×#123—611no—
1095C2×#123—611no—
1096C2×#123—611no—
1097C2×#123—611no—
1098C2×#123—611no—
1099C2×#123—611no—
1100C2×#123—611no—
1101C2×#123—611no—
1102C2×#123—611no—
1103C2×#123—611no—
1104C2×#123—611no—
1105C2×#123—611no—
1106C2×#123—611no—
1107C2×#123—611no—
1108C2×#123—611no—
1109C2×#123—611no—
1110C2×#123C2×D6111yescharacteristic
1111C2×#123C2×D6111yescharacteristic
1112C2×#123C2×D6111yescharacteristic, complemented
1113C2×#123C2×D6111yescharacteristic, complemented
1114C2×C22⋊Q8—611no—
1115C2×C22⋊Q8—611no—
1116C2×C22⋊Q8—611no—
1117C2×C22⋊Q8—611no—
1118C2×C22⋊Q8—611no—
1119C2×C22⋊Q8—611no—
1120C2×C22⋊Q8—611no—
1121C2×C22⋊Q8—611no—
1122C2×C22⋊Q8—611no—
1123C2×C22⋊Q8—6116no—
1124C2×C22⋊Q8—611no—
1125C2×C22⋊Q8—611no—
1126C2×C22⋊Q8—611no—
1127C2×C22⋊Q8—611no—
1128C2×C22⋊Q8—611no—
1129C2×C22⋊Q8—611no—
1130C2×C22⋊Q8—611no—
1131C2×C22⋊Q8—611no—
1132C2×C22⋊Q8—611no—
1133C2×C22⋊Q8—611no—
1134C2×C22⋊Q8—611no—
1135C2×C22⋊Q8—611no—
1136C2×C22⋊Q8—611no—
1137C2×C22⋊Q8—611no—
1138C2×C22⋊Q8—611no—
1139C2×C22⋊Q8—611no—
1140C2×C22⋊Q8—611no—
1141C2×C22⋊Q8—611no—
1142C2×C22⋊Q8—611no—
1143C2×C22⋊Q8—611no—
1144C2×C22⋊Q8—611no—
1145C2×C22⋊Q8—611no—
1146C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1147C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1148C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1149C2×#121—611no—
1150C2×#121—611no—
1151C2×#121—611no—
1152C2×#121—611no—
1153C2×#121—611no—
1154C2×#121—611no—
1155C2×#121—611no—
1156C2×#121—611no—
1157C2×#121—611no—
1158C2×#121C2×D6111yescharacteristic
1159C2×#120—611no—
1160C2×#120—611no—
1161C2×#120—611no—
1162C2×#120—611no—
1163C2×C4×Q8—611no—
1164C2×C4×Q8—611no—
1165C2×C4×D4—611no—
1166C2×C4×D4—611no—
1167C2×C4×D4—611no—
1168C2×C4×D4—611no—
1169C2×C4×D4—611no—
1170C2×C4×D4—611no—
1171C2×C4×D4—611no—
1172C2×C4×D4—611no—
1173C2×C4×D4—611no—
1174C2×C4×D4—611no—
1175C2×C4×D4—611no—
1176C2×C4×D4—611no—
1177C2×C4×D4C2×D6111yescharacteristic, complemented
1178C2×C4×D4C2×D6111yescharacteristic, complemented
1179C2×#117—611no—
1180C2×#117—611no—
1181C2×#117—611no—
1182C2×#117—611no—
1183C2×#117—611no—
1184C2×#117—611no—
1185C2×#117—611no—
1186C22×C4⋊C4—611no—
1187C22×C4⋊C4—611no—
1188C22×C4⋊C4—611no—
1189C22×C4⋊C4—611no—
1190C22×C4⋊C4—611no—
1191C22×C4⋊C4—611no—
1192C22×C4⋊C4C2×D6111yescharacteristic, complemented
1193C22×C22⋊C4—611no—
1194C22×C22⋊C4—611no—
1195C22×C22⋊C4—611no—
1196C22×C22⋊C4—611no—
1197C22×C22⋊C4—611no—
1198C22×C22⋊C4—611no—
1199C22×C22⋊C4—611no—
1200C61C2×#353511yescharacteristic, complemented, Sylow
1201C25—611no—
1202C25—611no—
1203C2×#41—618no—
1204C2×#41—618no—
1205C2×#41—618no—
1206C2×#41—2444no—
1207C2×#41—2444no—
1208C2×#41—2444no—
1209C22×Q8—618no—
1210C22×Q8—611no—
1211C22×Q8—611no—
1212C22×Q8—611no—
1213C22×Q8—611no—
1214C22×Q8—611no—
1215C22×Q8—611no—
1216C22×Q8—611no—
1217C22×Q8—611no—
1218C22×Q8—2444no—
1219C22×Q8C22×D6111yescharacteristic
1220C22×D4—611no—
1221C22×D4—611no—
1222C22×D4—611no—
1223C22×D4—611no—
1224C22×D4—611no—
1225C22×D4—611no—
1226C22×D4—611no—
1227C22×D4—611no—
1228C22×D4—618no—
1229C22×D4—611no—
1230C22×D4—611no—
1231C22×D4—611no—
1232C22×D4—611no—
1233C22×D4—2444no—
1234C22×D4C22×D6111yescharacteristic
1235C22×D4C22×D6111yescharacteristic
1236C22×D4C22×D6111yescharacteristic
1237C23×C4—611no—
1238C23×C4—611no—
1239C23×C4—611no—
1240C23×C4—611no—
1241C23×C4—611no—
1242C23×C4—611no—
1243C23×C4—611no—
1244C23×C4—611no—
1245C23×C4—611no—
1246C23×C4—611no—
1247C23×C4—611no—
1248C23×C4—611no—
1249C23×C4—611no—
1250C23×C4—611no—
1251C23×C4—611no—
1252C23×C4—611no—
1253C23×C4—611no—
1254C23×C4—611no—
1255C23×C4—618no—
1256C23×C4—2444no—
1257C23×C4C22×D6111yescharacteristic
1258C23×C4C22×D6111yescharacteristic
1259C23×C4C22×D6111yescharacteristic
1260C23×C4C22×D6111yescharacteristic
1261C23×C4C22×D6111yescharacteristic
1262C4⋊Q8—618no—
1263C4⋊Q8—618no—
1264C4⋊Q8—618no—
1265C4⋊Q8—618no—
1266C4⋊Q8—618no—
1267C4⋊Q8—618no—
1268#126—618no—
1269#126—618no—
1270#126—618no—
1271#126—618no—
1272#126—618no—
1273#126—618no—
1274#126—618no—
1275#126—618no—
1276#126—618no—
1277#126—618no—
1278#126C22×D6118yescomplemented
1279#126C22×D6118yescomplemented
1280#125—618no—
1281#125—618no—
1282#125—618no—
1283#125—618no—
1284#125—618no—
1285#125—618no—
1286#125—618no—
1287#125—618no—
1288#125C22×D6118yescomplemented
1289#125C22×D6118yescomplemented
1290#124—618no—
1291#124—618no—
1292#124—618no—
1293#124—618no—
1294#124—618no—
1295#124—618no—
1296#124—618no—
1297#124—618no—
1298#123—618no—
1299#123—618no—
1300#123—618no—
1301#123—618no—
1302#123—618no—
1303#123—618no—
1304#123—618no—
1305#123—618no—
1306#123—618no—
1307#123—618no—
1308#123—618no—
1309#123—618no—
1310#123—618no—
1311#123—618no—
1312#123—618no—
1313#123—618no—
1314#123—618no—
1315#123—618no—
1316#123—618no—
1317#123—618no—
1318#123—618no—
1319#123—618no—
1320#123—618no—
1321#123—618no—
1322#123C22×D6118yes—
1323#123C22×D6118yes—
1324#123C22×D6118yescomplemented
1325#123C22×D6118yescomplemented
1326C22⋊Q8—618no—
1327C22⋊Q8—618no—
1328C22⋊Q8—618no—
1329C22⋊Q8—618no—
1330C22⋊Q8—618no—
1331C22⋊Q8—618no—
1332C22⋊Q8—618no—
1333C22⋊Q8—618no—
1334C22⋊Q8—618no—
1335C22⋊Q8—618no—
1336C22⋊Q8—618no—
1337C22⋊Q8—618no—
1338C22⋊Q8—618no—
1339C22⋊Q8—618no—
1340C22⋊Q8—618no—
1341C22⋊Q8—618no—
1342C22⋊Q8—618no—
1343C22⋊Q8—618no—
1344C22⋊Q8—618no—
1345C22⋊Q8—618no—
1346C22⋊Q8—618no—
1347C22⋊Q8—618no—
1348C22⋊Q8—618no—
1349C22⋊Q8—618no—
1350C22⋊Q8—618no—
1351C22⋊Q8—618no—
1352C22⋊Q8—618no—
1353C22⋊Q8—618no—
1354C22⋊Q8—618no—
1355C22⋊Q8—618no—
1356C22⋊Q8—618no—
1357C22⋊Q8C22×D6118yescomplemented
1358C22⋊Q8C22×D6118yescomplemented
1359C22⋊Q8C22×D6118yescomplemented
1360#121—618no—
1361#121—618no—
1362#121—618no—
1363#121—618no—
1364#121—618no—
1365#121—618no—
1366#121—618no—
1367#121—618no—
1368#121—618no—
1369#121C22×D6118yes—
1370#120—618no—
1371#120—618no—
1372#120—618no—
1373#120—618no—
1374C4×Q8—618no—
1375C4×Q8—618no—
1376C4×D4—618no—
1377C4×D4—618no—
1378C4×D4—618no—
1379C4×D4—618no—
1380C4×D4—618no—
1381C4×D4—618no—
1382C4×D4—618no—
1383C4×D4—618no—
1384C4×D4—618no—
1385C4×D4—618no—
1386C4×D4—618no—
1387C4×D4—618no—
1388C4×D4C22×D6118yescomplemented
1389C4×D4C22×D6118yescomplemented
1390#117—618no—
1391#117—618no—
1392#117—618no—
1393#117—618no—
1394#117—618no—
1395#117—618no—
1396#117—618no—
1397C2×C4⋊C4—611no—
1398C2×C4⋊C4—611no—
1399C2×C4⋊C4—611no—
1400C2×C4⋊C4—611no—
1401C2×C4⋊C4—611no—
1402C2×C4⋊C4—611no—
1403C2×C4⋊C4—611no—
1404C2×C4⋊C4—611no—
1405C2×C4⋊C4—611no—
1406C2×C4⋊C4—611no—
1407C2×C4⋊C4—611no—
1408C2×C4⋊C4—611no—
1409C2×C4⋊C4—611no—
1410C2×C4⋊C4—611no—
1411C2×C4⋊C4—611no—
1412C2×C4⋊C4—611no—
1413C2×C4⋊C4—611no—
1414C2×C4⋊C4—611no—
1415C2×C4⋊C4—611no—
1416C2×C4⋊C4—611no—
1417C2×C4⋊C4—611no—
1418C2×C4⋊C4—611no—
1419C2×C4⋊C4—611no—
1420C2×C4⋊C4—611no—
1421C2×C4⋊C4—611no—
1422C2×C4⋊C4—611no—
1423C2×C4⋊C4—611no—
1424C2×C4⋊C4—611no—
1425C2×C4⋊C4—611no—
1426C2×C4⋊C4—611no—
1427C2×C4⋊C4—611no—
1428C2×C4⋊C4—611no—
1429C2×C4⋊C4—611no—
1430C2×C4⋊C4—611no—
1431C2×C4⋊C4—611no—
1432C2×C4⋊C4—611no—
1433C2×C4⋊C4—618no—
1434C2×C4⋊C4—618no—
1435C2×C4⋊C4—618no—
1436C2×C4⋊C4—618no—
1437C2×C4⋊C4—618no—
1438C2×C4⋊C4—618no—
1439C2×C4⋊C4C22×D6111yescharacteristic
1440C2×C4⋊C4C22×D6111yescharacteristic
1441C2×C4⋊C4C22×D6111yescharacteristic
1442C2×C4⋊C4C22×D6111yescharacteristic
1443C2×C4⋊C4C22×D6111yescharacteristic
1444C2×C4⋊C4C22×D6111yescharacteristic
1445C2×C4⋊C4C22×D6111yescharacteristic
1446C2×C4⋊C4C22×D6111yescharacteristic
1447C2×C4⋊C4C22×D6111yescharacteristic
1448C2×C4⋊C4C22×D6111yescharacteristic
1449C2×C4⋊C4C22×D6111yescharacteristic
1450C2×C4⋊C4C22×D6111yescharacteristic
1451C2×C4⋊C4C22×D6111yescharacteristic
1452C2×C4⋊C4C22×D6111yescharacteristic
1453C2×C4⋊C4C22×D6118yescomplemented
1454C2×C22⋊C4—611no—
1455C2×C22⋊C4—611no—
1456C2×C22⋊C4—611no—
1457C2×C22⋊C4—611no—
1458C2×C22⋊C4—611no—
1459C2×C22⋊C4—611no—
1460C2×C22⋊C4—611no—
1461C2×C22⋊C4—611no—
1462C2×C22⋊C4—611no—
1463C2×C22⋊C4—611no—
1464C2×C22⋊C4—611no—
1465C2×C22⋊C4—611no—
1466C2×C22⋊C4—611no—
1467C2×C22⋊C4—611no—
1468C2×C22⋊C4—611no—
1469C2×C22⋊C4—611no—
1470C2×C22⋊C4—611no—
1471C2×C22⋊C4—611no—
1472C2×C22⋊C4—611no—
1473C2×C22⋊C4—611no—
1474C2×C22⋊C4—611no—
1475C2×C22⋊C4—611no—
1476C2×C22⋊C4—611no—
1477C2×C22⋊C4—611no—
1478C2×C22⋊C4—611no—
1479C2×C22⋊C4—611no—
1480C2×C22⋊C4—618no—
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—618no—
1492C2×C22⋊C4—618no—
1493C2×C22⋊C4—618no—
1494C2×C22⋊C4—618no—
1495C2×C22⋊C4—618no—
1496C2×C22⋊C4—618no—
1497C2×C22⋊C4C22×D6111yescharacteristic
1498C2×C22⋊C4C22×D6111yescharacteristic
1499C2×C22⋊C4C22×D6111yescharacteristic
1500C2×C22⋊C4C22×D6111yescharacteristic
1501C2×C22⋊C4C22×D6111yescharacteristic
1502C2×C22⋊C4C22×D6111yescharacteristic
1503C2×C22⋊C4C22×D6111yescharacteristic
1504C2×C22⋊C4C22×D6111yescharacteristic
1505C2×C22⋊C4C22×D6111yescharacteristic
1506C2×C22⋊C4C22×D6111yescharacteristic
1507C2×C42—611no—
1508C2×C42—611no—
1509C2×C42—611no—
1510C2×C42—611no—
1511C2×C42—611no—
1512C2×C42—611no—
1513C2×C42—611no—
1514C2×C42—611no—
1515C2×C42C22×D6111yescharacteristic
1516C2×C42C22×D6111yescharacteristic
1517C24—611no—
1518C24—611no—
1519C24—611no—
1520C24—611no—
1521C24—614no—
1522C24—614no—
1523C24—1224no—
1524C24—1224no—
1525C24—1224no—
1526C24—2442no—
1527C24—2442no—
1528C24—2442no—
1529C24C23×D6111yescharacteristic
1530C24C23×D6111yescharacteristic
1531C24C23×D6111yescharacteristic
1532#41—24416no—
1533#41—24416no—
1534#41—24416no—
1535C2×Q8—42no—
1536C2×Q8—614no—
1537C2×Q8—614no—
1538C2×Q8—614no—
1539C2×Q8—614no—
1540C2×Q8—614no—
1541C2×Q8—614no—
1542C2×Q8—614no—
1543C2×Q8—614no—
1544C2×Q8—2442no—
1545C2×Q8—2442no—
1546C2×Q8—2442no—
1547C2×Q8—2442no—
1548C2×Q8—2442no—
1549C2×Q8—2442no—
1550C2×Q8—2442no—
1551C2×Q8—2442no—
1552C2×Q8—24416no—
1553C2×Q8C23×D6114yes—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—614no—
1558C2×D4—614no—
1559C2×D4—614no—
1560C2×D4—614no—
1561C2×D4—614no—
1562C2×D4—614no—
1563C2×D4—614no—
1564C2×D4—614no—
1565C2×D4—614no—
1566C2×D4—614no—
1567C2×D4—614no—
1568C2×D4—614no—
1569C2×D4—1224no—
1570C2×D4—1224no—
1571C2×D4—1224no—
1572C2×D4—1224no—
1573C2×D4—1224no—
1574C2×D4—1224no—
1575C2×D4—2442no—
1576C2×D4—2442no—
1577C2×D4—2442no—
1578C2×D4—2442no—
1579C2×D4—2442no—
1580C2×D4—2442no—
1581C2×D4—24416no—
1582C2×D4C23×D6114yes—
1583C2×D4C23×D6114yes—
1584C2×D4C23×D6114yes—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—611no—
1591C22×C4—611no—
1592C22×C4—611no—
1593C22×C4—611no—
1594C22×C4—611no—
1595C22×C4—611no—
1596C22×C4—611no—
1597C22×C4—611no—
1598C22×C4—611no—
1599C22×C4—611no—
1600C22×C4—611no—
1601C22×C4—611no—
1602C22×C4—614no—
1603C22×C4—614no—
1604C22×C4—614no—
1605C22×C4—614no—
1606C22×C4—614no—
1607C22×C4—614no—
1608C22×C4—614no—
1609C22×C4—614no—
1610C22×C4—614no—
1611C22×C4—614no—
1612C22×C4—614no—
1613C22×C4—614no—
1614C22×C4—614no—
1615C22×C4—614no—
1616C22×C4—614no—
1617C22×C4—614no—
1618C22×C4—614no—
1619C22×C4—614no—
1620C22×C4—1224no—
1621C22×C4—1224no—
1622C22×C4—1224no—
1623C22×C4—1224no—
1624C22×C4—1224no—
1625C22×C4—2442no—
1626C22×C4—2442no—
1627C22×C4—2442no—
1628C22×C4—2442no—
1629C22×C4—2442no—
1630C22×C4—2442no—
1631C22×C4—2442no—
1632C22×C4—2442no—
1633C22×C4—2442no—
1634C22×C4—2442no—
1635C22×C4—2442no—
1636C22×C4—24416no—
1637C22×C4—2442no—
1638C22×C4—2442no—
1639C22×C4C23×D6111yescharacteristic
1640C22×C4C23×D6111yescharacteristic
1641C22×C4C23×D6111yescharacteristic
1642C22×C4C23×D6111yescharacteristic
1643C22×C4C23×D6111yescharacteristic
1644C22×C4C23×D6111yescharacteristic
1645C22×C4C23×D6111yescharacteristic
1646C22×C4C23×D6111yescharacteristic
1647C22×C4C23×D6111yescharacteristic
1648C22×C4C23×D6111yescharacteristic
1649C22×C4C23×D6111yescharacteristic
1650C22×C4C23×D6111yescharacteristic
1651C22×C4C23×D6114yes—
1652C22×C4C23×D6114yes—
1653C22×C4C23×D6114yes—
1654C22×C4C23×D6114yes—
1655C22×C4C23×D6114yes—
1656C4⋊C4—614no—
1657C4⋊C4—614no—
1658C4⋊C4—614no—
1659C4⋊C4—614no—
1660C4⋊C4—614no—
1661C4⋊C4—614no—
1662C4⋊C4—614no—
1663C4⋊C4—614no—
1664C4⋊C4—614no—
1665C4⋊C4—614no—
1666C4⋊C4—614no—
1667C4⋊C4—614no—
1668C4⋊C4—614no—
1669C4⋊C4—614no—
1670C4⋊C4—614no—
1671C4⋊C4—614no—
1672C4⋊C4—614no—
1673C4⋊C4—614no—
1674C4⋊C4—614no—
1675C4⋊C4—614no—
1676C4⋊C4—614no—
1677C4⋊C4—614no—
1678C4⋊C4—614no—
1679C4⋊C4—614no—
1680C4⋊C4—614no—
1681C4⋊C4—614no—
1682C4⋊C4—614no—
1683C4⋊C4—614no—
1684C4⋊C4—614no—
1685C4⋊C4—614no—
1686C4⋊C4—614no—
1687C4⋊C4—614no—
1688C4⋊C4—614no—
1689C4⋊C4—614no—
1690C4⋊C4—614no—
1691C4⋊C4—614no—
1692C4⋊C4C23×D6114yes—
1693C4⋊C4C23×D6114yes—
1694C4⋊C4C23×D6114yes—
1695C4⋊C4C23×D6114yes—
1696C4⋊C4C23×D6114yes—
1697C4⋊C4C23×D6114yes—
1698C4⋊C4C23×D6114yes—
1699C4⋊C4C23×D6114yes—
1700C4⋊C4C23×D6114yes—
1701C4⋊C4C23×D6114yes—
1702C4⋊C4C23×D6114yes—
1703C4⋊C4C23×D6114yes—
1704C4⋊C4C23×D6114yes—
1705C4⋊C4C23×D6114yes—
1706C22⋊C4—614no—
1707C22⋊C4—614no—
1708C22⋊C4—614no—
1709C22⋊C4—614no—
1710C22⋊C4—614no—
1711C22⋊C4—614no—
1712C22⋊C4—614no—
1713C22⋊C4—614no—
1714C22⋊C4—614no—
1715C22⋊C4—614no—
1716C22⋊C4—614no—
1717C22⋊C4—614no—
1718C22⋊C4—614no—
1719C22⋊C4—614no—
1720C22⋊C4—614no—
1721C22⋊C4—614no—
1722C22⋊C4—614no—
1723C22⋊C4—614no—
1724C22⋊C4—614no—
1725C22⋊C4—614no—
1726C22⋊C4—614no—
1727C22⋊C4—614no—
1728C22⋊C4—614no—
1729C22⋊C4—614no—
1730C22⋊C4—614no—
1731C22⋊C4—614no—
1732C22⋊C4—614no—
1733C22⋊C4—614no—
1734C22⋊C4—614no—
1735C22⋊C4—614no—
1736C22⋊C4—614no—
1737C22⋊C4—614no—
1738C22⋊C4—614no—
1739C22⋊C4—614no—
1740C22⋊C4—614no—
1741C22⋊C4—614no—
1742C22⋊C4C23×D6114yes—
1743C22⋊C4C23×D6114yes—
1744C22⋊C4C23×D6114yes—
1745C22⋊C4C23×D6114yes—
1746C22⋊C4C23×D6114yes—
1747C22⋊C4C23×D6114yes—
1748C22⋊C4C23×D6114yes—
1749C22⋊C4C23×D6114yes—
1750C22⋊C4C23×D6114yes—
1751C22⋊C4C23×D6114yes—
1752C42—614no—
1753C42—614no—
1754C42—614no—
1755C42—614no—
1756C42—614no—
1757C42—614no—
1758C42—614no—
1759C42—614no—
1760C42C23×D6114yes—
1761C42C23×D6114yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—614no—
1772C23—614no—
1773C23—612no—
1774C23—612no—
1775C23—612no—
1776C23—612no—
1777C23—1228no—
1778C23—1228no—
1779C23—1228no—
1780C23—1222no—
1781C23—1222no—
1782C23—1222no—
1783C23—1222no—
1784C23—1222no—
1785C23—1222no—
1786C23—1222no—
1787C23—1222no—
1788C23—1222no—
1789C23—1222no—
1790C23—4888no—
1791C23—2444no—
1792C23—2444no—
1793C23—2444no—
1794C23—24416no—
1795C23C24×D6112yes—
1796C23C24×D6112yes—
1797C23C24×D6112yes—
1798C23C24×D6111yescharacteristic
1799Q8—44no—
1800Q8—2444no—
1801Q8—2444no—
1802Q8—2444no—
1803Q8—2444no—
1804Q8—2444no—
1805Q8—2444no—
1806Q8—2444no—
1807Q8—2444no—
1808D4—44no—
1809D4—44no—
1810D4—44no—
1811D4—1228no—
1812D4—1228no—
1813D4—1228no—
1814D4—1228no—
1815D4—1228no—
1816D4—1228no—
1817D4—2444no—
1818D4—2444no—
1819D4—2444no—
1820D4—2444no—
1821D4—2444no—
1822D4—2444no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—612no—
1841C2×C4—612no—
1842C2×C4—612no—
1843C2×C4—612no—
1844C2×C4—612no—
1845C2×C4—612no—
1846C2×C4—612no—
1847C2×C4—612no—
1848C2×C4—612no—
1849C2×C4—612no—
1850C2×C4—612no—
1851C2×C4—612no—
1852C2×C4—1228no—
1853C2×C4—1228no—
1854C2×C4—1228no—
1855C2×C4—1228no—
1856C2×C4—1228no—
1857C2×C4—1222no—
1858C2×C4—1222no—
1859C2×C4—1222no—
1860C2×C4—1222no—
1861C2×C4—1222no—
1862C2×C4—1222no—
1863C2×C4—1222no—
1864C2×C4—1222no—
1865C2×C4—1222no—
1866C2×C4—1222no—
1867C2×C4—1222no—
1868C2×C4—1222no—
1869C2×C4—2444no—
1870C2×C4—2444no—
1871C2×C4—2444no—
1872C2×C4—2444no—
1873C2×C4—2444no—
1874C2×C4—2444no—
1875C2×C4—2444no—
1876C2×C4—2444no—
1877C2×C4—2444no—
1878C2×C4—2444no—
1879C2×C4—2444no—
1880C2×C4—2444no—
1881C2×C4—2444no—
1882C2×C4C24×D6112yes—
1883C2×C4C24×D6112yes—
1884C2×C4C24×D6112yes—
1885C2×C4C24×D6112yes—
1886C2×C4C24×D6112yes—
1887C2×C4C24×D6112yes—
1888C2×C4C24×D6112yes—
1889C2×C4C24×D6112yes—
1890C2×C4C24×D6112yes—
1891C2×C4C24×D6112yes—
1892C2×C4C24×D6112yes—
1893C2×C4C24×D6112yes—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—44no—
1906C22—614no—
1907C22—614no—
1908C22—1228no—
1909C22—1228no—
1910C22—1222no—
1911C22—1222no—
1912C22—1222no—
1913C22—1222no—
1914C22—1222no—
1915C22—1222no—
1916C22—1222no—
1917C22—1222no—
1918C22—1222no—
1919C22—1222no—
1920C22—4888no—
1921C22—24416no—
1922C22—2444no—
1923C22—2444no—
1924C22H(5,𝔽2)×D6112yes—
1925C222−1+4×D6112yes—
1926C22#1684059812yes—
1927C22C25×D6111yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—1222no—
1941C4—1222no—
1942C4—1222no—
1943C4—1222no—
1944C4—1222no—
1945C4—1222no—
1946C4—1222no—
1947C4—1222no—
1948C4—1222no—
1949C4—1222no—
1950C4—1222no—
1951C4—1222no—
1952C2—42no—
1953C2—42no—
1954C2—42no—
1955C2—1224no—
1956C2—1224no—
1957C2—2442no—
1958C2—2442no—
1959C2#2146002714yesdirect product factor
1960C2C2×H(5,𝔽2)×D6111yescharacteristic
1961C2C2×2−1+4×D6111yescharacteristic
1962C2C2×#1684059811yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#539C2
socleC23×C61C25
hypercenterC2×#539D61
hypocenterC61C2×#3535
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #21460027C2direct (N × H)
2. C2×#16840515C2semidirect
3. C2×#16840514C2semidirect
4. C2×#16840509C2semidirect
5. C2×#16840507C2semidirect
6. C2×#16840468C2semidirect
7. C2×#16840467C2semidirect
8. C2×#16840448C2semidirect
9. C2×#16840444C2semidirect
10. C2×#16840441C2semidirect
11. C2×#16840440C2semidirect
12. C2×#16840437C2semidirect
13. C2×#16840437C2semidirect
14. C2×#16840417C2semidirect
15. C2×#16840413C2semidirect
16. C2×#16840409C2semidirect
17. C2×#16840404C2semidirect
18. C2×#16840392C2semidirect
19. C2×#16840387C2semidirect
20. C2×#16840380C2semidirect
21. C2×#16840377C2semidirect
22. C2×#16840360C2semidirect
23. C2×#16840358C2semidirect
24. C2×#16840358C2semidirect
25. C2×#16840355C2semidirect
26. C2×#16840348C2semidirect
27. C2×#16840335C2semidirect
28. C2×#16840335C2semidirect
29. C2×#16840271C2semidirect
30. C2×#123×D61C2semidirect
31. C2×C22⋊Q8×D61C2semidirect
32. C2×C61×#539C2semidirect
35. C22×#11758222C22semidirect
36. C22×Q8×D61C22semidirect
39. #16840515C22semidirect
40. #16840514C22semidirect
41. #16840509C22semidirect
42. #16840507C22semidirect
43. #16840468C22semidirect
44. #16840467C22semidirect
45. #16840448C22semidirect
46. #16840444C22semidirect
47. #16840441C22semidirect
48. #16840440C22semidirect
49. #16840437C22semidirect
50. #16840437C22semidirect
51. #16840417C22semidirect
52. #16840413C22semidirect
53. #16840409C22semidirect
54. #16840404C22semidirect
55. #16840392C22semidirect
56. #16840387C22semidirect
57. #16840380C22semidirect
58. #16840377C22semidirect
59. #16840360C22semidirect
60. #16840358C22semidirect
61. #16840358C22semidirect
62. #16840355C22semidirect
63. #16840348C22semidirect
64. #16840335C22semidirect
65. #16840335C22semidirect
66. C2×#14519777C22semidirect
67. C2×#14519776C22semidirect
68. C2×#14519776C22semidirect
69. C2×#14519776C22semidirect
70. C2×#14519776C22semidirect
71. C2×#14519776C22semidirect
72. C2×#14519772C22semidirect
73. C2×#14519772C22semidirect
74. C2×#14519772C22semidirect
75. C2×#14519771C22semidirect
76. C2×#14519770C22semidirect
77. C2×#14519770C22semidirect
78. C2×#14519770C22semidirect
79. C2×#14519770C22semidirect
80. C2×#14519770C22semidirect
81. C2×#14519770C22semidirect
82. C2×#14519768C22semidirect
83. C2×#14519768C22semidirect
84. C2×#14519767C22semidirect
85. C2×#14519767C22semidirect
86. C2×#14519767C22semidirect
87. C2×#14519767C22semidirect
88. C2×#14519767C22semidirect
89. C2×#14519767C22semidirect
91. C2×#14519764C22semidirect
93. C2×#14519763C22semidirect
94. C2×#14519763C22semidirect
95. C2×#14519763C22semidirect
96. C2×#14519763C22semidirect
97. C2×#14519763C22semidirect
98. #16840271C22semidirect
103. C2×#14519762C22semidirect
104. C2×#14519762C22semidirect
105. C2×#14519762C22semidirect
106. C2×#14519762C22semidirect
109. C2×#14519760C22semidirect
110. C2×#14519760C22semidirect
116. C2×#14519759C22semidirect
117. C2×#14519759C22semidirect
118. C2×#14519759C22semidirect
119. C2×#14519759C22semidirect
120. C2×#14519759C22semidirect
122. C2×#14519758C22semidirect
123. #123×D61C22semidirect
127. C2×#14519757C22semidirect
128. C2×#14519757C22semidirect
129. C2×#14519757C22semidirect
130. C2×#14519756C22semidirect
131. C2×#14519756C22semidirect
132. C2×#14519756C22semidirect
133. C2×#14519756C22semidirect
134. C2×#14519756C22semidirect
135. C2×#14519756C22semidirect
141. C2×#14519755C22semidirect
142. C2×#14519755C22semidirect
143. C2×#14519755C22semidirect
144. C2×#14519755C22semidirect
145. C2×#14519755C22semidirect
146. C2×#14519755C22semidirect
147. C2×#14519754C22semidirect
148. C2×#14519754C22semidirect
149. C2×#14519754C22semidirect
150. C2×#14519754C22semidirect
151. C2×#14519754C22semidirect
153. C2×#14519753C22semidirect
154. C2×#14519753C22semidirect
155. C22⋊Q8×D61C22semidirect
157. C2×#14519751C22semidirect
161. C2×#14519749C22semidirect
164. C2×#14519748C22semidirect
169. C2×C4×Dic122C22semidirect
170. C2×#14519742C22semidirect
172. C2×C4×D244C22semidirect
176. C2×#14519739C22semidirect
180. C2×C4×C22⋊D61C22semidirect
181. C2×C4×C22⋊D61C22semidirect
184. C2×#14519735C22semidirect
185. C2×#14519735C22semidirect
187. C2×#14519734C22semidirect
188. C2×#14519734C22semidirect
189. C2×#14519733C22semidirect
192. C2×C4⋊C4×D61C22semidirect
193. C2×C4⋊C4×D61C22semidirect
194. C2×C4⋊C4×D61C22semidirect
195. C2×C4⋊C4×D61C22semidirect
203. C61×#539C22semidirect
204. C2×#126×C61C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#125×C61C22semidirect
207. C2×#125×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×D4×C61C22semidirect
217. C2×C4×D4×C61C22semidirect
218. C22×C4⋊C4×C61C22semidirect
226. C2×#11758222C23semidirect
236. C2×Q8×D61C23semidirect
271. #14519777C23semidirect
272. #14519776C23semidirect
273. #14519776C23semidirect
274. #14519776C23semidirect
275. #14519776C23semidirect
276. #14519776C23semidirect
277. #14519772C23semidirect
278. #14519772C23semidirect
279. #14519772C23semidirect
280. #14519771C23semidirect
281. #14519770C23semidirect
282. #14519770C23semidirect
283. #14519770C23semidirect
284. #14519770C23semidirect
285. #14519770C23semidirect
286. #14519770C23semidirect
287. #14519768C23semidirect
288. #14519768C23semidirect
289. #14519767C23semidirect
290. #14519767C23semidirect
291. #14519767C23semidirect
292. #14519767C23semidirect
293. #14519767C23semidirect
294. #14519767C23semidirect
296. #14519764C23semidirect
298. #14519763C23semidirect
299. #14519763C23semidirect
300. #14519763C23semidirect
301. #14519763C23semidirect
302. #14519763C23semidirect
307. #14519762C23semidirect
308. #14519762C23semidirect
309. #14519762C23semidirect
310. #14519762C23semidirect
313. #14519760C23semidirect
314. #14519760C23semidirect
320. #14519759C23semidirect
321. #14519759C23semidirect
322. #14519759C23semidirect
323. #14519759C23semidirect
324. #14519759C23semidirect
326. #14519758C23semidirect
330. #14519757C23semidirect
331. #14519757C23semidirect
332. #14519757C23semidirect
333. #14519756C23semidirect
334. #14519756C23semidirect
335. #14519756C23semidirect
336. #14519756C23semidirect
337. #14519756C23semidirect
338. #14519756C23semidirect
344. #14519755C23semidirect
345. #14519755C23semidirect
346. #14519755C23semidirect
347. #14519755C23semidirect
348. #14519755C23semidirect
349. #14519755C23semidirect
350. #14519754C23semidirect
351. #14519754C23semidirect
352. #14519754C23semidirect
353. #14519754C23semidirect
354. #14519754C23semidirect
356. #14519753C23semidirect
357. #14519753C23semidirect
359. #14519751C23semidirect
363. #14519749C23semidirect
366. #14519748C23semidirect
371. C4×Dic122C23semidirect
372. #14519742C23semidirect
374. C4×D244C23semidirect
378. #14519739C23semidirect
382. C4×C22⋊D61C23semidirect
383. C4×C22⋊D61C23semidirect
386. #14519735C23semidirect
387. #14519735C23semidirect
389. #14519734C23semidirect
390. #14519734C23semidirect
391. #14519733C23semidirect
430. C4⋊C4×D61C23semidirect
431. C4⋊C4×D61C23semidirect
432. C4⋊C4×D61C23semidirect
433. C4⋊C4×D61C23semidirect
494. #126×C61C23semidirect
495. #126×C61C23semidirect
496. #125×C61C23semidirect
497. #125×C61C23semidirect
500. #123×C61C23semidirect
501. #123×C61C23semidirect
502. C22⋊Q8×C61C23semidirect
503. C22⋊Q8×C61C23semidirect
504. C22⋊Q8×C61C23semidirect
506. C4×D4×C61C23semidirect
507. C4×D4×C61C23semidirect
522. C2×C4⋊C4×C61C23semidirect
996. C2×#539D61semidirect
1006. C2×C61#3535semidirect
1044. #539C2×D61semidirect
1064. C2×#126C2×D61semidirect
1065. C2×#126C2×D61semidirect
1074. C2×#125C2×D61semidirect
1075. C2×#125C2×D61semidirect
1112. C2×#123C2×D61semidirect
1113. C2×#123C2×D61semidirect
1146. C2×C22⋊Q8C2×D61semidirect
1147. C2×C22⋊Q8C2×D61semidirect
1148. C2×C22⋊Q8C2×D61semidirect
1177. C2×C4×D4C2×D61semidirect
1178. C2×C4×D4C2×D61semidirect
1192. C22×C4⋊C4C2×D61semidirect
1200. C61C2×#3535semidirect
1278. #126C22×D61semidirect
1279. #126C22×D61semidirect
1288. #125C22×D61semidirect
1289. #125C22×D61semidirect
1324. #123C22×D61semidirect
1325. #123C22×D61semidirect
1357. C22⋊Q8C22×D61semidirect
1358. C22⋊Q8C22×D61semidirect
1359. C22⋊Q8C22×D61semidirect
1388. C4×D4C22×D61semidirect
1389. C4×D4C22×D61semidirect
1453. C2×C4⋊C4C22×D61semidirect
1959. C2#21460027direct (N × H)

Maximal subgroups

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

subgroupindex
#214600272
C2×#168405152
C2×#168405142
C2×#168405092
C2×#168405072
C2×#168404682
C2×#168404672
C2×#168404482
C2×#168404442
C2×#168404412
C2×#168404402
C2×#168404372
C2×#168404172
C2×#168404132
C2×#168404092
C2×#168404042
C2×#168403922
C2×#168403872
C2×#168403802
C2×#168403772
C2×#168403602
C2×#168403582
C2×#168403552
C2×#168403482
C2×#168403352
C2×#168402712
C2×#123×D612
C2×C22⋊Q8×D612
C2×C61×#5392
C2×#353561