Finite Group Databasebeta

← C2×#21460026 #30587223

Subgroups — C2×#21460026 #30587223

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#21460026C2132yesmaximal, direct product factor
2C2×#16840516C211yesmaximal, characteristic, complemented
3C2×#16840514C211yesmaximal, characteristic, complemented
4C2×#16840509C211yesmaximal, characteristic, complemented
5C2×#16840508C211yesmaximal, characteristic, complemented
6C2×#16840470C211yesmaximal, characteristic, complemented
7C2×#16840468C211yesmaximal, characteristic, complemented
8C2×#16840454C211yesmaximal, characteristic, complemented
9C2×#16840452C211yesmaximal, characteristic, complemented
10C2×#16840441C211yesmaximal, characteristic, complemented
11C2×#16840439C211yesmaximal, characteristic, complemented
12C2×#16840437C211yesmaximal, characteristic, complemented
13C2×#16840435C211yesmaximal, characteristic, complemented
14C2×#16840416C211yesmaximal, characteristic, complemented
15C2×#16840412C211yesmaximal, characteristic, complemented
16C2×#16840407C211yesmaximal, characteristic, complemented
17C2×#16840401C211yesmaximal, characteristic, complemented
18C2×#16840392C211yesmaximal, characteristic, complemented
19C2×#16840387C211yesmaximal, characteristic, complemented
20C2×#16840385C211yesmaximal, characteristic, complemented
21C2×#16840378C211yesmaximal, characteristic, complemented
22C2×#16840360C211yesmaximal, characteristic, complemented
23C2×#16840359C211yesmaximal, characteristic, complemented
24C2×#16840356C211yesmaximal, characteristic, complemented
25C2×#16840353C211yesmaximal, characteristic, complemented
26C2×#16840348C211yesmaximal, characteristic, complemented
27C2×#16840334C211yesmaximal, characteristic, complemented
28C2×#16840334C211yesmaximal, characteristic, complemented
29C2×#16840270C211yesmaximal, characteristic, complemented
30C2×#123×D61C211yesmaximal, characteristic, complemented
31C22×#14519757C211yesmaximal, characteristic, complemented
32C2×C61×#539C211yesmaximal, characteristic, complemented
33C22×#11758224C2211yescharacteristic
34C22×#11758224C2211yescharacteristic
35C22×#11758224C2211yescharacteristic, complemented
36C23×Dic122C2211yescharacteristic, complemented
37C22×D4×D61C2211yescharacteristic
38C23×C4×D61C2211yescharacteristic
39#16840516C22116yescomplemented
40#16840514C22116yescomplemented
41#16840509C22116yescomplemented
42#16840508C22116yescomplemented
43#16840470C22116yescomplemented
44#16840468C22116yescomplemented
45#16840454C22116yescomplemented
46#16840452C22116yescomplemented
47#16840441C22116yescomplemented
48#16840439C22116yescomplemented
49#16840437C22116yescomplemented
50#16840435C22116yescomplemented
51#16840416C22116yescomplemented
52#16840412C22116yescomplemented
53#16840407C22116yescomplemented
54#16840401C22116yescomplemented
55#16840392C22116yescomplemented
56#16840387C22116yescomplemented
57#16840385C22116yescomplemented
58#16840378C22116yescomplemented
59#16840360C22116yescomplemented
60#16840359C22116yescomplemented
61#16840356C22116yescomplemented
62#16840353C22116yescomplemented
63#16840348C22116yescomplemented
64#16840334C22116yescomplemented
65#16840334C22116yescomplemented
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×#14519772C2211yescharacteristic, complemented
76C2×#14519772C2211yescharacteristic, complemented
77C2×#14519772C2211yescharacteristic, complemented
78C2×#14519772C2211yescharacteristic, complemented
79C2×#14519771C2211yescharacteristic, complemented
80C2×#14519770C2211yescharacteristic, complemented
81C2×#14519770C2211yescharacteristic, complemented
82C2×#14519769C2211yescharacteristic, complemented
83C2×#14519768C2211yescharacteristic, complemented
84C2×#14519768C2211yescharacteristic, complemented
85C2×#14519768C2211yescharacteristic, complemented
86C2×#14519767C2211yescharacteristic, complemented
87C2×#14519767C2211yescharacteristic, complemented
88C2×#14519767C2211yescharacteristic, complemented
89C2×#14519767C2211yescharacteristic, complemented
90C2×#14519766C2211yescharacteristic, complemented
91C2×#14519765C2211yescharacteristic
92C2×#14519763C2211yescharacteristic
93C2×#14519763C2211yescharacteristic, complemented
94C2×#14519763C2211yescharacteristic, complemented
95C2×#14519763C2211yescharacteristic, complemented
96C2×#14519763C2211yescharacteristic, complemented
97C2×#14519763C2211yescharacteristic, complemented
98#16840270C22116yescomplemented
99C2×#14519762C2211yescharacteristic
100C2×#14519762C2211yescharacteristic
101C2×#14519762C2211yescharacteristic
102C2×#14519762C2211yescharacteristic
103C2×#14519762C2211yescharacteristic, complemented
104C2×#14519762C2211yescharacteristic, complemented
105C2×#14519762C2211yescharacteristic, complemented
106C2×#14519761C2211yescharacteristic
107C2×#14519761C2211yescharacteristic
108C2×#14519761C2211yescharacteristic
109C2×#14519761C2211yescharacteristic, complemented
110C2×#14519761C2211yescharacteristic, complemented
111C2×#14519761C2211yescharacteristic, complemented
112C2×#14519760C2211yescharacteristic
113C2×#14519760C2211yescharacteristic, complemented
114C2×#14519760C2211yescharacteristic, complemented
115C2×#14519759C2211yescharacteristic
116C2×#14519759C2211yescharacteristic
117C2×#14519759C2211yescharacteristic
118C2×#14519759C2211yescharacteristic, complemented
119C2×#14519759C2211yescharacteristic, complemented
120C2×#14519758C2211yescharacteristic
121C2×#14519758C2211yescharacteristic
122C2×#14519758C2211yescharacteristic, complemented
123#123×D61C22116yescomplemented
124C2×#14519757C2211yescharacteristic
125C2×#14519757C2211yescharacteristic
126C2×#14519757C2211yescharacteristic
127C2×#14519757C2211yescharacteristic
128C2×#14519757C2211yescharacteristic
129C2×#14519757C2211yescharacteristic, complemented
130C2×#14519757C2211yescharacteristic, complemented
131C2×#14519757C2211yescharacteristic, complemented
132C2×#14519757C2211yescharacteristic, complemented
133C2×#14519757C2211yescharacteristic, complemented
134C2×#14519757C2211yescharacteristic, complemented
135C2×#14519757C22116yescomplemented
136C2×#14519756C2211yescharacteristic, complemented
137C2×#14519756C2211yescharacteristic, complemented
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×#14519755C2211yescharacteristic, complemented
148C2×#14519754C2211yescharacteristic, complemented
149C2×#14519754C2211yescharacteristic, complemented
150C2×#14519754C2211yescharacteristic, complemented
151C2×#14519754C2211yescharacteristic, complemented
152C2×#14519754C2211yescharacteristic, complemented
153C2×#14519754C2211yescharacteristic, complemented
154C2×#14519753C2211yescharacteristic
155C2×#14519753C2211yescharacteristic, complemented
156C2×#14519752C2211yescharacteristic
157C2×#14519751C2211yescharacteristic
158C2×#14519751C2211yescharacteristic
159C2×#14519751C2211yescharacteristic, complemented
160C2×#14519750C2211yescharacteristic
161C2×#14519750C2211yescharacteristic
162C2×#14519750C2211yescharacteristic, complemented
163C2×#14519749C2211yescharacteristic
164C2×#14519748C2211yescharacteristic, complemented
165C2×#14519747C2211yescharacteristic
166C2×#14519747C2211yescharacteristic
167C2×#14519745C2211yescharacteristic
168C2×#14519745C2211yescharacteristic
169C2×Q8×Dic61C2211yescharacteristic, complemented
170C2×C4×Dic122C2211yescharacteristic, complemented
171C2×C4×D244C2211yescharacteristic
172C2×C4×D244C2211yescharacteristic, complemented
173C2×D4×Dic61C2211yescharacteristic, complemented
174C2×#14519739C2211yescharacteristic
175C2×#14519739C2211yescharacteristic
176C2×#14519739C2211yescharacteristic, complemented
177C2×C4×C22⋊D61C2211yescharacteristic
178C2×C4×C22⋊D61C2211yescharacteristic
179C2×C4×C22⋊D61C2211yescharacteristic, complemented
180C2×#14519737C2211yescharacteristic
181C2×#14519737C2211yescharacteristic
182C2×#14519737C2211yescharacteristic, complemented
183C2×#14519736C2211yescharacteristic, complemented
184C2×#14519735C2211yescharacteristic
185C2×#14519735C2211yescharacteristic, complemented
186C2×#14519734C2211yescharacteristic
187C2×#14519733C2211yescharacteristic, complemented
188C2×#14519733C2211yescharacteristic, complemented
189C2×#14519733C2211yescharacteristic, complemented
190C22×C4⋊Dic61C2211yescharacteristic, complemented
191C22×C4⋊Dic61C2211yescharacteristic, complemented
192C22×C4⋊Dic61C2211yescharacteristic, complemented
193C2×C4⋊C4×D61C2211yescharacteristic
194C2×C4⋊C4×D61C2211yescharacteristic
195C2×C4⋊C4×D61C2211yescharacteristic, complemented
196C22×#11758198C2211yescharacteristic
197C22×#11758198C2211yescharacteristic
198C22×#11758198C2211yescharacteristic
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, complemented
210C2×#123×C61C2211yescharacteristic, complemented
211C2×#123×C61C2211yescharacteristic, complemented
212C2×C22⋊Q8×C61C2211yescharacteristic, complemented
213C2×C22⋊Q8×C61C2211yescharacteristic, complemented
214C2×C22⋊Q8×C61C2211yescharacteristic, complemented
215C2×#121×C61C2211yescharacteristic
216C2×C4×D4×C61C2211yescharacteristic
217C2×C4×D4×C61C2211yescharacteristic, complemented
218C22×C4⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C2×#11758224—44no—
222C2×#11758224—44no—
223C2×#11758224—44no—
224C2×#11758224C2318yes—
225C2×#11758224C2318yes—
226C2×#11758224C2318yescomplemented
227C22×Dic122—44no—
228C22×Dic122C2311yescharacteristic
229C22×Dic122C2311yescharacteristic
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2311yescharacteristic
232C22×Dic122C2311yescharacteristic
233C22×Dic122C2311yescharacteristic
234C22×Dic122C2311yescharacteristic
235C22×Dic122C2311yescharacteristic
236C22×Dic122C2318yescomplemented
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
253C23×Dic61C2311yescharacteristic
254C23×Dic61C2311yescharacteristic
255C23×Dic61C2311yescharacteristic
256C23×Dic61C2311yescharacteristic
257C22×C4×D61—44no—
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#14519772C2318yescomplemented
281#14519772C2318yescomplemented
282#14519772C2318yescomplemented
283#14519772C2318yescomplemented
284#14519771C2318yescomplemented
285#14519770C2318yescomplemented
286#14519770C2318yescomplemented
287#14519769C2318yescomplemented
288#14519768C2318yescomplemented
289#14519768C2318yescomplemented
290#14519768C2318yescomplemented
291#14519767C2318yescomplemented
292#14519767C2318yescomplemented
293#14519767C2318yescomplemented
294#14519767C2318yescomplemented
295#14519766C2318yescomplemented
296#14519765C2318yes—
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#14519761C2318yes—
311#14519761C2318yes—
312#14519761C2318yes—
313#14519761C2318yescomplemented
314#14519761C2318yescomplemented
315#14519761C2318yescomplemented
316#14519760C2318yes—
317#14519760C2318yescomplemented
318#14519760C2318yescomplemented
319#14519759C2318yes—
320#14519759C2318yes—
321#14519759C2318yes—
322#14519759C2318yescomplemented
323#14519759C2318yescomplemented
324#14519758C2318yes—
325#14519758C2318yes—
326#14519758C2318yescomplemented
327#14519757C2318yes—
328#14519757C2318yes—
329#14519757C2318yes—
330#14519757C2318yes—
331#14519757C2318yes—
332#14519757C2318yescomplemented
333#14519757C2318yescomplemented
334#14519757C2318yescomplemented
335#14519757C2318yescomplemented
336#14519757C2318yescomplemented
337#14519757C2318yescomplemented
338#14519756C2318yescomplemented
339#14519756C2318yescomplemented
340#14519755C2318yes—
341#14519755C2318yes—
342#14519755C2318yes—
343#14519755C2318yescomplemented
344#14519755C2318yescomplemented
345#14519755C2318yescomplemented
346#14519755C2318yescomplemented
347#14519755C2318yescomplemented
348#14519755C2318yescomplemented
349#14519755C2318yescomplemented
350#14519754C2318yescomplemented
351#14519754C2318yescomplemented
352#14519754C2318yescomplemented
353#14519754C2318yescomplemented
354#14519754C2318yescomplemented
355#14519754C2318yescomplemented
356#14519753C2318yes—
357#14519753C2318yescomplemented
358#14519752C2318yes—
359#14519751C2318yes—
360#14519751C2318yes—
361#14519751C2318yescomplemented
362#14519750C2318yes—
363#14519750C2318yes—
364#14519750C2318yescomplemented
365#14519749C2318yes—
366#14519748C2318yescomplemented
367#14519747C2318yes—
368#14519747C2318yes—
369#14519745C2318yes—
370#14519745C2318yes—
371Q8×Dic61C2318yescomplemented
372C4×Dic122C2318yescomplemented
373C4×D244C2318yes—
374C4×D244C2318yescomplemented
375D4×Dic61C2318yescomplemented
376#14519739C2318yes—
377#14519739C2318yes—
378#14519739C2318yescomplemented
379C4×C22⋊D61C2318yes—
380C4×C22⋊D61C2318yes—
381C4×C22⋊D61C2318yescomplemented
382#14519737C2318yes—
383#14519737C2318yes—
384#14519737C2318yescomplemented
385#14519736C2318yescomplemented
386#14519735C2318yes—
387#14519735C2318yescomplemented
388#14519734C2318yes—
389#14519733C2318yescomplemented
390#14519733C2318yescomplemented
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×C4⋊Dic61C2311yescharacteristic
405C2×C4⋊Dic61C2311yescharacteristic
406C2×C4⋊Dic61C2311yescharacteristic
407C2×C4⋊Dic61C2311yescharacteristic
408C2×C4⋊Dic61C2318yescomplemented
409C2×C4⋊Dic61C2318yescomplemented
410C2×C4⋊Dic61C2318yescomplemented
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
428C2×#11758196C2311yescharacteristic
429C2×#11758196C2311yescharacteristic
430C2×#11758196C2311yescharacteristic
431C4⋊C4×D61C2318yes—
432C4⋊C4×D61C2318yes—
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×#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×#11758198C2318yes—
461C2×#11758198C2318yes—
462C2×#11758198C2318yes—
463C2×#11758198C2311yescharacteristic
464C2×#11758198C2311yescharacteristic
465C2×#11758198C2311yescharacteristic
466C2×#11758198C2311yescharacteristic
467C2×#11758198C2311yescharacteristic
468C2×#11758198C2311yescharacteristic
469C2×#11758198C2311yescharacteristic
470C2×#11758198C2311yescharacteristic
471C2×#11758198C2311yescharacteristic
472C2×#11758198C2311yescharacteristic
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×C61C2318yescomplemented
500#123×C61C2318yescomplemented
501#123×C61C2318yescomplemented
502C22⋊Q8×C61C2318yescomplemented
503C22⋊Q8×C61C2318yescomplemented
504C22⋊Q8×C61C2318yescomplemented
505#121×C61C2318yes—
506C4×D4×C61C2318yes—
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×D61C2411yescharacteristic
547C23×D61C2414yes—
548C23×D61C2411yescharacteristic
549C23×D61C2414yes—
550C2×Q8×C61—42no—
551C2×Q8×C61C2414yes—
552C2×D4×C61—24no—
553C2×D4×C61—24no—
554C2×D4×C61—42no—
555C2×D4×C61C2414yes—
556C2×D4×C61C2414yes—
557C2×D4×C61C2414yes—
558C22×C4×C61—24no—
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×C61C2414yes—
568C22×C4×C61C2411yescharacteristic
569C22×C4×C61C2411yescharacteristic
570C22×C4×C61C2411yescharacteristic
571C22×C4×C61C2411yescharacteristic
572C22×C4×C61C2411yescharacteristic
573C22×C4×C61C2411yescharacteristic
574C22×C4×C61C2411yescharacteristic
575C22×C4×C61C2411yescharacteristic
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—24no—
597C22×Dic61—24no—
598C22×Dic61—24no—
599C22×Dic61—42no—
600C22×Dic61—42no—
601C22×Dic61—42no—
602C22×Dic61C2411yescharacteristic
603C22×Dic61C2411yescharacteristic
604C22×Dic61C2414yes—
605C22×Dic61C2411yescharacteristic
606C22×Dic61C2411yescharacteristic
607C22×Dic61C2411yescharacteristic
608C22×Dic61C2411yescharacteristic
609C22×Dic61C2411yescharacteristic
610C22×Dic61C2411yescharacteristic
611C22×Dic61C2411yescharacteristic
612C22×Dic61C2411yescharacteristic
613C22×Dic61C2411yescharacteristic
614C22×Dic61C2414yes—
615C22×Dic61C2414yes—
616C22×Dic61C2411yescharacteristic
617C22×Dic61C2414yes—
618C22×Dic61C2414yes—
619C22×Dic61C2414yes—
620#11758224—416no—
621#11758224—416no—
622#11758224—416no—
623D4×D61—416no—
624C2×D244—24no—
625C2×D244—42no—
626C2×D244—42no—
627C2×D244—42no—
628C2×D244C2414yes—
629C2×D244C2414yes—
630C2×D244C2414yes—
631C2×D244C2414yes—
632C2×C4×D61—24no—
633C2×C4×D61—42no—
634C2×C4×D61—42no—
635C2×C4×D61—42no—
636C2×C4×D61—42no—
637C2×C4×D61—416no—
638C2×C4×D61—42no—
639C2×C4×D61—42no—
640C2×C4×D61—42no—
641C2×C4×D61—42no—
642C2×C4×D61—42no—
643C2×C4×D61—42no—
644C2×C4×D61—42no—
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×Dic122—42no—
658C2×Dic122—42no—
659C2×Dic122—42no—
660C2×Dic122—42no—
661C2×Dic122—416no—
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—
708#11758198C2414yes—
709#11758198C2414yes—
710#11758198C2414yes—
711#11758198C2414yes—
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—
748C4⋊Dic61C2414yes—
749C4⋊Dic61C2414yes—
750C4⋊Dic61C2414yes—
751C4⋊Dic61C2414yes—
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×C61H(5,𝔽2)14yes—
789C23×C61C2512yes—
790C23×C61C2512yes—
791C23×C61C2512yes—
792C23×C61C2511yescharacteristic
793C22×D61—22no—
794C22×D61—22no—
795C22×D61—22no—
796C22×D61—28no—
797C22×D61—22no—
798C22×D61—22no—
799C22×D61—22no—
800C22×D61—22no—
801C22×D61—22no—
802C22×D61—22no—
803C22×D61—22no—
804C22×D61—22no—
805C22×D61—28no—
806C22×D61—28no—
807C22×D61—44no—
808C22×D61—44no—
809C22×D61—44no—
810C22×D61—416no—
811C22×D61—88no—
812C22×D612−1+414yes—
813C22×D61C2512yes—
814C22×D61C2512yes—
815C22×D61C2512yes—
816C22×D61C2512yes—
817Q8×C61—44no—
818D4×C61—28no—
819D4×C61—28no—
820D4×C61—44no—
821C2×C4×C61—28no—
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—22no—
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—28no—
863C2×Dic61—28no—
864C2×Dic61—22no—
865C2×Dic61—22no—
866C2×Dic61—22no—
867C2×Dic61—22no—
868C2×Dic61—28no—
869C2×Dic61—22no—
870C2×Dic61—22no—
871C2×Dic61—22no—
872C2×Dic61—22no—
873C2×Dic61—44no—
874C2×Dic61—44no—
875C2×Dic61—44no—
876C2×Dic61C2512yes—
877C2×Dic61C2512yes—
878C2×Dic61C2512yes—
879C2×Dic61C2512yes—
880C2×Dic61C2512yes—
881C2×Dic61C2512yes—
882C2×Dic61C2512yes—
883C2×Dic61C2512yes—
884C2×Dic61C2512yes—
885C2×Dic61C2512yes—
886C2×Dic61C2512yes—
887C2×Dic61C2512yes—
888D244—28no—
889D244—44no—
890D244—44no—
891D244—44no—
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—28no—
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×C61C2×H(5,𝔽2)14yes—
925C22×C61C2×H(5,𝔽2)12yes—
926C22×C61C2×2−1+412yes—
927C22×C61#58512yes—
928C22×C61C2611yescharacteristic
929C2×D61—22no—
930C2×D61—22no—
931C2×D61—28no—
932C2×D61—22no—
933C2×D61—22no—
934C2×D61—22no—
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—44no—
945C2×D61—88no—
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—24no—
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—42no—
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—611no—
1091C2×#123—6116no—
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, complemented
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—611no—
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—6116no—
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
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—611no—
1210C22×Q8—611no—
1211C22×Q8—611no—
1212C22×Q8—611no—
1213C22×Q8—611no—
1214C22×Q8—611no—
1215C22×Q8—611no—
1216C22×Q8—611no—
1217C22×Q8—618no—
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×D6118yescomplemented
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×D6118yes—
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—618no—
1412C2×C4⋊C4—618no—
1413C2×C4⋊C4—611no—
1414C2×C4⋊C4—611no—
1415C2×C4⋊C4—611no—
1416C2×C4⋊C4—618no—
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—611no—
1434C2×C4⋊C4—611no—
1435C2×C4⋊C4—611no—
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—618no—
1478C2×C22⋊C4—618no—
1479C2×C22⋊C4—611no—
1480C2×C22⋊C4—611no—
1481C2×C22⋊C4—611no—
1482C2×C22⋊C4—618no—
1483C2×C22⋊C4—611no—
1484C2×C22⋊C4—611no—
1485C2×C22⋊C4—611no—
1486C2×C22⋊C4—611no—
1487C2×C22⋊C4—611no—
1488C2×C22⋊C4—611no—
1489C2×C22⋊C4—611no—
1490C2×C22⋊C4—611no—
1491C2×C22⋊C4—611no—
1492C2×C22⋊C4—611no—
1493C2×C22⋊C4—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—24416no—
1550C2×Q8—2442no—
1551C2×Q8—2442no—
1552C2×Q8—2442no—
1553C2×Q8C23×D6114yes—
1554C2×D4—24no—
1555C2×D4—24no—
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—2442no—
1574C2×D4—2442no—
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—24no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—614no—
1591C22×C4—614no—
1592C22×C4—614no—
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—611no—
1603C22×C4—611no—
1604C22×C4—611no—
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—2442no—
1625C22×C4—2442no—
1626C22×C4—2442no—
1627C22×C4—2442no—
1628C22×C4—24416no—
1629C22×C4—2442no—
1630C22×C4—2442no—
1631C22×C4—2442no—
1632C22×C4—2442no—
1633C22×C4—2442no—
1634C22×C4—2442no—
1635C22×C4—2442no—
1636C22×C4—2442no—
1637C22×C4—2442no—
1638C22×C4—2442no—
1639C22×C4C23×D6114yes—
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×D6111yescharacteristic
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—614no—
1771C23—612no—
1772C23—612no—
1773C23—612no—
1774C23—612no—
1775C23—1228no—
1776C23—1228no—
1777C23—1222no—
1778C23—1222no—
1779C23—1222no—
1780C23—1228no—
1781C23—1222no—
1782C23—1222no—
1783C23—1222no—
1784C23—1222no—
1785C23—1222no—
1786C23—1222no—
1787C23—1222no—
1788C23—1222no—
1789C23—4888no—
1790C23—2444no—
1791C23—2444no—
1792C23—2444no—
1793C23—24416no—
1794C23#1451982314yes—
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—28no—
1809D4—28no—
1810D4—44no—
1811D4—1228no—
1812D4—1228no—
1813D4—1228no—
1814D4—1228no—
1815D4—2444no—
1816D4—2444no—
1817D4—2444no—
1818D4—2444no—
1819D4—2444no—
1820D4—2444no—
1821D4—2444no—
1822D4—2444no—
1823C2×C4—28no—
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—22no—
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—1222no—
1854C2×C4—1222no—
1855C2×C4—1222no—
1856C2×C4—1222no—
1857C2×C4—1228no—
1858C2×C4—1222no—
1859C2×C4—1222no—
1860C2×C4—1228no—
1861C2×C4—1228no—
1862C2×C4—1222no—
1863C2×C4—1222no—
1864C2×C4—1222no—
1865C2×C4—1222no—
1866C2×C4—1222no—
1867C2×C4—1222no—
1868C2×C4—2444no—
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—28no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—614no—
1906C22—1228no—
1907C22—1222no—
1908C22—1222no—
1909C22—1222no—
1910C22—1222no—
1911C22—1222no—
1912C22—1222no—
1913C22—1222no—
1914C22—1222no—
1915C22—1222no—
1916C22—1222no—
1917C22—1222no—
1918C22—4888no—
1919C22—24416no—
1920C22—2444no—
1921C22—2444no—
1922C22—2444no—
1923C22C2×#1451982314yes—
1924C22C2×#1451982312yes—
1925C222−1+4×D6112yes—
1926C22#1684059712yes—
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—24no—
1953C2—42no—
1954C2—42no—
1955C2—1224no—
1956C2—2442no—
1957C2—2442no—
1958C2—2442no—
1959C2#2146002614yesdirect product factor
1960C2C22×#1451982311yescharacteristic
1961C2C2×2−1+4×D6111yescharacteristic
1962C2C2×#1684059711yescharacteristic
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. #21460026C2direct (N × H)
2. C2×#16840516C2semidirect
3. C2×#16840514C2semidirect
4. C2×#16840509C2semidirect
5. C2×#16840508C2semidirect
6. C2×#16840470C2semidirect
7. C2×#16840468C2semidirect
8. C2×#16840454C2semidirect
9. C2×#16840452C2semidirect
10. C2×#16840441C2semidirect
11. C2×#16840439C2semidirect
12. C2×#16840437C2semidirect
13. C2×#16840435C2semidirect
14. C2×#16840416C2semidirect
15. C2×#16840412C2semidirect
16. C2×#16840407C2semidirect
17. C2×#16840401C2semidirect
18. C2×#16840392C2semidirect
19. C2×#16840387C2semidirect
20. C2×#16840385C2semidirect
21. C2×#16840378C2semidirect
22. C2×#16840360C2semidirect
23. C2×#16840359C2semidirect
24. C2×#16840356C2semidirect
25. C2×#16840353C2semidirect
26. C2×#16840348C2semidirect
27. C2×#16840334C2semidirect
28. C2×#16840334C2semidirect
29. C2×#16840270C2semidirect
30. C2×#123×D61C2semidirect
31. C22×#14519757C2semidirect
32. C2×C61×#539C2semidirect
35. C22×#11758224C22semidirect
36. C23×Dic122C22semidirect
39. #16840516C22semidirect
40. #16840514C22semidirect
41. #16840509C22semidirect
42. #16840508C22semidirect
43. #16840470C22semidirect
44. #16840468C22semidirect
45. #16840454C22semidirect
46. #16840452C22semidirect
47. #16840441C22semidirect
48. #16840439C22semidirect
49. #16840437C22semidirect
50. #16840435C22semidirect
51. #16840416C22semidirect
52. #16840412C22semidirect
53. #16840407C22semidirect
54. #16840401C22semidirect
55. #16840392C22semidirect
56. #16840387C22semidirect
57. #16840385C22semidirect
58. #16840378C22semidirect
59. #16840360C22semidirect
60. #16840359C22semidirect
61. #16840356C22semidirect
62. #16840353C22semidirect
63. #16840348C22semidirect
64. #16840334C22semidirect
65. #16840334C22semidirect
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×#14519772C22semidirect
76. C2×#14519772C22semidirect
77. C2×#14519772C22semidirect
78. C2×#14519772C22semidirect
79. C2×#14519771C22semidirect
80. C2×#14519770C22semidirect
81. C2×#14519770C22semidirect
82. C2×#14519769C22semidirect
83. C2×#14519768C22semidirect
84. C2×#14519768C22semidirect
85. C2×#14519768C22semidirect
86. C2×#14519767C22semidirect
87. C2×#14519767C22semidirect
88. C2×#14519767C22semidirect
89. C2×#14519767C22semidirect
90. C2×#14519766C22semidirect
93. C2×#14519763C22semidirect
94. C2×#14519763C22semidirect
95. C2×#14519763C22semidirect
96. C2×#14519763C22semidirect
97. C2×#14519763C22semidirect
98. #16840270C22semidirect
103. C2×#14519762C22semidirect
104. C2×#14519762C22semidirect
105. C2×#14519762C22semidirect
109. C2×#14519761C22semidirect
110. C2×#14519761C22semidirect
111. C2×#14519761C22semidirect
113. C2×#14519760C22semidirect
114. C2×#14519760C22semidirect
118. C2×#14519759C22semidirect
119. C2×#14519759C22semidirect
122. C2×#14519758C22semidirect
123. #123×D61C22semidirect
129. C2×#14519757C22semidirect
130. C2×#14519757C22semidirect
131. C2×#14519757C22semidirect
132. C2×#14519757C22semidirect
133. C2×#14519757C22semidirect
134. C2×#14519757C22semidirect
135. C2×#14519757C22semidirect
136. C2×#14519756C22semidirect
137. C2×#14519756C22semidirect
141. C2×#14519755C22semidirect
142. C2×#14519755C22semidirect
143. C2×#14519755C22semidirect
144. C2×#14519755C22semidirect
145. C2×#14519755C22semidirect
146. C2×#14519755C22semidirect
147. C2×#14519755C22semidirect
148. C2×#14519754C22semidirect
149. C2×#14519754C22semidirect
150. C2×#14519754C22semidirect
151. C2×#14519754C22semidirect
152. C2×#14519754C22semidirect
153. C2×#14519754C22semidirect
155. C2×#14519753C22semidirect
159. C2×#14519751C22semidirect
162. C2×#14519750C22semidirect
164. C2×#14519748C22semidirect
169. C2×Q8×Dic61C22semidirect
170. C2×C4×Dic122C22semidirect
172. C2×C4×D244C22semidirect
173. C2×D4×Dic61C22semidirect
176. C2×#14519739C22semidirect
179. C2×C4×C22⋊D61C22semidirect
182. C2×#14519737C22semidirect
183. C2×#14519736C22semidirect
185. C2×#14519735C22semidirect
187. C2×#14519733C22semidirect
188. C2×#14519733C22semidirect
189. C2×#14519733C22semidirect
190. C22×C4⋊Dic61C22semidirect
191. C22×C4⋊Dic61C22semidirect
192. C22×C4⋊Dic61C22semidirect
195. C2×C4⋊C4×D61C22semidirect
203. C61×#539C22semidirect
204. C2×#126×C61C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#125×C61C22semidirect
207. C2×#125×C61C22semidirect
209. C2×#123×C61C22semidirect
210. C2×#123×C61C22semidirect
211. C2×#123×C61C22semidirect
212. C2×C22⋊Q8×C61C22semidirect
213. C2×C22⋊Q8×C61C22semidirect
214. C2×C22⋊Q8×C61C22semidirect
217. C2×C4×D4×C61C22semidirect
218. C22×C4⋊C4×C61C22semidirect
226. C2×#11758224C23semidirect
236. C22×Dic122C23semidirect
271. #14519777C23semidirect
272. #14519776C23semidirect
273. #14519776C23semidirect
274. #14519776C23semidirect
275. #14519776C23semidirect
276. #14519776C23semidirect
277. #14519772C23semidirect
278. #14519772C23semidirect
279. #14519772C23semidirect
280. #14519772C23semidirect
281. #14519772C23semidirect
282. #14519772C23semidirect
283. #14519772C23semidirect
284. #14519771C23semidirect
285. #14519770C23semidirect
286. #14519770C23semidirect
287. #14519769C23semidirect
288. #14519768C23semidirect
289. #14519768C23semidirect
290. #14519768C23semidirect
291. #14519767C23semidirect
292. #14519767C23semidirect
293. #14519767C23semidirect
294. #14519767C23semidirect
295. #14519766C23semidirect
298. #14519763C23semidirect
299. #14519763C23semidirect
300. #14519763C23semidirect
301. #14519763C23semidirect
302. #14519763C23semidirect
307. #14519762C23semidirect
308. #14519762C23semidirect
309. #14519762C23semidirect
313. #14519761C23semidirect
314. #14519761C23semidirect
315. #14519761C23semidirect
317. #14519760C23semidirect
318. #14519760C23semidirect
322. #14519759C23semidirect
323. #14519759C23semidirect
326. #14519758C23semidirect
332. #14519757C23semidirect
333. #14519757C23semidirect
334. #14519757C23semidirect
335. #14519757C23semidirect
336. #14519757C23semidirect
337. #14519757C23semidirect
338. #14519756C23semidirect
339. #14519756C23semidirect
343. #14519755C23semidirect
344. #14519755C23semidirect
345. #14519755C23semidirect
346. #14519755C23semidirect
347. #14519755C23semidirect
348. #14519755C23semidirect
349. #14519755C23semidirect
350. #14519754C23semidirect
351. #14519754C23semidirect
352. #14519754C23semidirect
353. #14519754C23semidirect
354. #14519754C23semidirect
355. #14519754C23semidirect
357. #14519753C23semidirect
361. #14519751C23semidirect
364. #14519750C23semidirect
366. #14519748C23semidirect
371. Q8×Dic61C23semidirect
372. C4×Dic122C23semidirect
374. C4×D244C23semidirect
375. D4×Dic61C23semidirect
378. #14519739C23semidirect
381. C4×C22⋊D61C23semidirect
384. #14519737C23semidirect
385. #14519736C23semidirect
387. #14519735C23semidirect
389. #14519733C23semidirect
390. #14519733C23semidirect
391. #14519733C23semidirect
408. C2×C4⋊Dic61C23semidirect
409. C2×C4⋊Dic61C23semidirect
410. C2×C4⋊Dic61C23semidirect
433. C4⋊C4×D61C23semidirect
494. #126×C61C23semidirect
495. #126×C61C23semidirect
496. #125×C61C23semidirect
497. #125×C61C23semidirect
499. #123×C61C23semidirect
500. #123×C61C23semidirect
501. #123×C61C23semidirect
502. C22⋊Q8×C61C23semidirect
503. C22⋊Q8×C61C23semidirect
504. C22⋊Q8×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
1111. C2×#123C2×D61semidirect
1112. C2×#123C2×D61semidirect
1113. C2×#123C2×D61semidirect
1146. C2×C22⋊Q8C2×D61semidirect
1147. C2×C22⋊Q8C2×D61semidirect
1148. C2×C22⋊Q8C2×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
1323. #123C22×D61semidirect
1324. #123C22×D61semidirect
1325. #123C22×D61semidirect
1357. C22⋊Q8C22×D61semidirect
1358. C22⋊Q8C22×D61semidirect
1359. C22⋊Q8C22×D61semidirect
1389. C4×D4C22×D61semidirect
1453. C2×C4⋊C4C22×D61semidirect
1959. C2#21460026direct (N × H)

Maximal subgroups

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

subgroupindex
#214600262
C2×#168405162
C2×#168405142
C2×#168405092
C2×#168405082
C2×#168404702
C2×#168404682
C2×#168404542
C2×#168404522
C2×#168404412
C2×#168404392
C2×#168404372
C2×#168404352
C2×#168404162
C2×#168404122
C2×#168404072
C2×#168404012
C2×#168403922
C2×#168403872
C2×#168403852
C2×#168403782
C2×#168403602
C2×#168403592
C2×#168403562
C2×#168403532
C2×#168403482
C2×#168403342
C2×#168402702
C2×#123×D612
C22×#145197572
C2×C61×#5392
C2×#353561