Finite Group Databasebeta

← C2×#21459873 #30588133

Subgroups — C2×#21459873 #30588133

Order 15616.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459873C2132yesmaximal, direct product factor
2C2×#16840484C211yesmaximal, characteristic, complemented
3C2×#16840480C211yesmaximal, characteristic, complemented
4C2×#16840466C211yesmaximal, characteristic, complemented
5C2×#16840461C211yesmaximal, characteristic, complemented
6C2×#16840456C211yesmaximal, characteristic, complemented
7C2×#16840455C211yesmaximal, characteristic, complemented
8C2×#16840453C211yesmaximal, characteristic, complemented
9C2×#16840449C211yesmaximal, characteristic, complemented
10C2×#16840445C211yesmaximal, characteristic, complemented
11C2×#16840441C211yesmaximal, characteristic, complemented
12C2×#16840439C211yesmaximal, characteristic, complemented
13C2×#16840436C211yesmaximal, characteristic, complemented
14C2×#16840435C211yesmaximal, characteristic, complemented
15C2×#16840410C211yesmaximal, characteristic, complemented
16C2×#16840404C211yesmaximal, characteristic, complemented
17C2×#16840401C211yesmaximal, characteristic, complemented
18C2×#16840376C211yesmaximal, characteristic, complemented
19C2×#16840371C211yesmaximal, characteristic, complemented
20C2×#16840360C211yesmaximal, characteristic, complemented
21C2×#16840354C211yesmaximal, characteristic, complemented
22C2×#16840346C211yesmaximal, characteristic, complemented
23C2×#16840345C211yesmaximal, characteristic, complemented
24C2×#16840295C211yesmaximal, characteristic, complemented
25C2×#16840295C211yesmaximal, characteristic, complemented
26C2×#16840295C211yesmaximal, characteristic, complemented
27C22×#14519771C211yesmaximal, characteristic, complemented
28C2×#126×D61C211yesmaximal, characteristic, complemented
29C2×#16840241C211yesmaximal, characteristic, complemented
30C2×#16840234C211yesmaximal, characteristic, complemented
31C2×C4×#11758222C211yesmaximal, characteristic, complemented
32C2×C61×#529C211yesmaximal, characteristic, complemented
33C22×#11758222C2211yescharacteristic
34C22×#11758224C2211yescharacteristic
35C22×D4×D61C2211yescharacteristic
36#16840484C22116yescomplemented
37#16840480C22116yescomplemented
38#16840466C22116yescomplemented
39#16840461C22116yescomplemented
40#16840456C22116yescomplemented
41#16840455C22116yescomplemented
42#16840453C22116yescomplemented
43#16840449C22116yescomplemented
44#16840445C22116yescomplemented
45#16840441C22116yescomplemented
46#16840439C22116yescomplemented
47#16840436C22116yescomplemented
48#16840435C22116yescomplemented
49#16840410C22116yescomplemented
50#16840404C22116yescomplemented
51#16840401C22116yescomplemented
52#16840376C22116yescomplemented
53#16840371C22116yescomplemented
54#16840360C22116yescomplemented
55#16840354C22116yescomplemented
56#16840346C22116yescomplemented
57#16840345C22116yescomplemented
58C2×#14519776C2211yescharacteristic, complemented
59C2×#14519775C2211yescharacteristic, complemented
60#16840295C22116yescomplemented
61#16840295C22116yescomplemented
62#16840295C22116yescomplemented
63C2×#14519772C2211yescharacteristic
64C2×#14519772C2211yescharacteristic
65C2×#14519772C2211yescharacteristic
66C2×#14519772C2211yescharacteristic
67C2×#14519772C2211yescharacteristic
68C2×#14519772C2211yescharacteristic, complemented
69C2×#14519771C2211yescharacteristic
70C2×#14519771C2211yescharacteristic
71C2×#14519771C2211yescharacteristic
72C2×#14519771C2211yescharacteristic
73C2×#14519771C2211yescharacteristic, complemented
74C2×#14519771C2211yescharacteristic, complemented
75C2×#14519771C2211yescharacteristic, complemented
76C2×#14519771C2211yescharacteristic, complemented
77C2×#14519771C2211yescharacteristic, complemented
78C2×#14519771C2211yescharacteristic, complemented
79C2×#14519771C22116yescomplemented
80C2×#14519770C2211yescharacteristic, complemented
81C2×#14519770C2211yescharacteristic, complemented
82C2×#14519770C2211yescharacteristic, complemented
83C2×#14519770C2211yescharacteristic, complemented
84#126×D61C22116yescomplemented
85C2×#14519769C2211yescharacteristic, complemented
86C2×#14519768C2211yescharacteristic, complemented
87C2×#14519767C2211yescharacteristic, complemented
88C2×#14519767C2211yescharacteristic, complemented
89C2×#14519767C2211yescharacteristic, complemented
90C2×#14519767C2211yescharacteristic, complemented
91C2×#14519767C2211yescharacteristic, complemented
92C2×#14519767C2211yescharacteristic, complemented
93C2×#14519766C2211yescharacteristic
94C2×#14519765C2211yescharacteristic
95C2×#14519763C2211yescharacteristic
96C2×#14519763C2211yescharacteristic
97C2×#14519763C2211yescharacteristic
98C2×#14519763C2211yescharacteristic, complemented
99C2×#14519762C2211yescharacteristic
100C2×#14519762C2211yescharacteristic
101C2×#14519762C2211yescharacteristic
102C2×#14519762C2211yescharacteristic, complemented
103C2×#14519762C2211yescharacteristic, complemented
104C2×#14519762C2211yescharacteristic, complemented
105C2×#14519761C2211yescharacteristic
106C2×#14519761C2211yescharacteristic, complemented
107C2×#14519760C2211yescharacteristic
108C2×#14519760C2211yescharacteristic, complemented
109C2×#14519759C2211yescharacteristic, complemented
110C2×#14519759C2211yescharacteristic, complemented
111C2×#14519759C2211yescharacteristic, complemented
112C2×#14519759C2211yescharacteristic, complemented
113C2×#14519758C2211yescharacteristic
114C2×#14519758C2211yescharacteristic, complemented
115C2×#14519757C2211yescharacteristic, complemented
116C2×#14519756C2211yescharacteristic, complemented
117C2×#14519755C2211yescharacteristic
118C2×#14519755C2211yescharacteristic
119C2×#14519755C2211yescharacteristic, complemented
120C2×#14519755C2211yescharacteristic, complemented
121C2×#14519755C2211yescharacteristic, complemented
122C2×#14519755C2211yescharacteristic, complemented
123C2×#14519754C2211yescharacteristic, complemented
124C2×#14519754C2211yescharacteristic, complemented
125C2×#14519754C2211yescharacteristic, complemented
126C2×#14519754C2211yescharacteristic, complemented
127C2×#14519753C2211yescharacteristic, complemented
128C2×#14519753C2211yescharacteristic, complemented
129C2×#14519752C2211yescharacteristic
130C2×#14519751C2211yescharacteristic, complemented
131C2×#14519750C2211yescharacteristic
132C2×#14519750C2211yescharacteristic
133C2×#14519750C2211yescharacteristic
134C2×#14519750C2211yescharacteristic, complemented
135C2×#14519749C2211yescharacteristic
136C2×#14519749C2211yescharacteristic
137C2×#14519749C2211yescharacteristic, complemented
138C2×#14519749C2211yescharacteristic, complemented
139C2×#14519747C2211yescharacteristic
140C2×#14519747C2211yescharacteristic
141C2×#14519745C2211yescharacteristic
142C2×#14519745C2211yescharacteristic
143#16840241C22116yescomplemented
144#16840234C22116yescomplemented
145C4×#11758222C22116yescomplemented
146C2×C4×Dic122C2211yescharacteristic, complemented
147C2×C4×Dic122C2211yescharacteristic, complemented
148C2×C4×Dic122C2211yescharacteristic, complemented
149C2×#14519742C2211yescharacteristic, complemented
150C2×#14519742C2211yescharacteristic, complemented
151C2×#14519742C2211yescharacteristic, complemented
152C2×C4×D244C2211yescharacteristic
153C2×C4×D244C2211yescharacteristic, complemented
154C2×C4×D244C2211yescharacteristic, complemented
155C2×D4×Dic61C2211yescharacteristic
156C2×D4×Dic61C2211yescharacteristic, complemented
157C2×#14519739C2211yescharacteristic
158C2×#14519739C2211yescharacteristic
159C2×#14519739C2211yescharacteristic, complemented
160C2×C4×C22⋊D61C2211yescharacteristic
161C2×C4×C22⋊D61C2211yescharacteristic
162C2×C4×C22⋊D61C2211yescharacteristic
163C2×C4×C22⋊D61C2211yescharacteristic, complemented
164C2×C4×C22⋊D61C2211yescharacteristic, complemented
165C2×C4×C22⋊D61C2211yescharacteristic, complemented
166C2×#14519737C2211yescharacteristic
167C2×#14519737C2211yescharacteristic
168C2×#14519737C2211yescharacteristic
169C2×#14519737C2211yescharacteristic
170C2×#14519737C2211yescharacteristic, complemented
171C2×#14519737C2211yescharacteristic, complemented
172C2×#14519737C2211yescharacteristic, complemented
173C2×#14519737C2211yescharacteristic, complemented
174C2×#14519736C2211yescharacteristic, complemented
175C2×#14519735C2211yescharacteristic
176C2×#14519735C2211yescharacteristic, complemented
177C2×#14519735C2211yescharacteristic, complemented
178C2×#14519734C2211yescharacteristic
179C2×#14519734C2211yescharacteristic, complemented
180C2×#14519734C2211yescharacteristic, complemented
181C2×#14519734C2211yescharacteristic, complemented
182C2×#14519733C2211yescharacteristic, complemented
183C2×#14519733C2211yescharacteristic, complemented
184C2×#14519733C2211yescharacteristic, complemented
185C2×#14519733C2211yescharacteristic, complemented
186C22×#11758196C2211yescharacteristic, complemented
187C22×#11758196C2211yescharacteristic, complemented
188C22×#11758196C2211yescharacteristic, complemented
189C22×#11758196C2211yescharacteristic, complemented
190C2×C4⋊C4×D61C2211yescharacteristic, complemented
191C2×C4⋊C4×D61C2211yescharacteristic, complemented
192C2×C4⋊C4×D61C2211yescharacteristic, complemented
193C22×#11758198C2211yescharacteristic
194C22×#11758198C2211yescharacteristic
195C22×#11758198C2211yescharacteristic
196C22×#11758198C2211yescharacteristic
197C2×C22⋊C4×D61C2211yescharacteristic
198C2×C22⋊C4×D61C2211yescharacteristic
199C2×C22⋊C4×D61C2211yescharacteristic
200C2×C22⋊C4×D61C2211yescharacteristic
201C2×C42×D61C2211yescharacteristic, complemented
202C2×C42×D61C2211yescharacteristic, complemented
203C61×#529C22116yescomplemented
204C2×#126×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#125×C61C2211yescharacteristic, complemented
207C2×#124×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic
209C2×#123×C61C2211yescharacteristic, complemented
210C2×C22⋊Q8×C61C2211yescharacteristic, complemented
211C2×#121×C61C2211yescharacteristic
212C2×C4×Q8×C61C2211yescharacteristic, complemented
213C2×C4×D4×C61C2211yescharacteristic
214C2×C4×D4×C61C2211yescharacteristic, complemented
215C2×C4×D4×C61C2211yescharacteristic, complemented
216C2×#117×C61C2211yescharacteristic, complemented
217C2×#117×C61C2211yescharacteristic, complemented
218C22×C42×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C2×#11758222—28no—
222C2×#11758222C2318yes—
223C2×#11758224—28no—
224C2×#11758224C2318yes—
225C22×Dic122C2311yescharacteristic
226C22×Dic122C2311yescharacteristic
227C22×Dic122C2311yescharacteristic
228C22×Dic122C2311yescharacteristic
229C22×D244C2311yescharacteristic
230C22×D244C2311yescharacteristic
231C22×D244C2311yescharacteristic
232C22×D244C2311yescharacteristic
233C22×C22⋊D61C2311yescharacteristic
234C22×C22⋊D61C2311yescharacteristic
235C22×C22⋊D61C2311yescharacteristic
236C22×C22⋊D61C2311yescharacteristic
237C22×C22⋊D61C2311yescharacteristic
238C22×C22⋊D61C2311yescharacteristic
239C22×C22⋊D61C2311yescharacteristic
240C22×C22⋊D61C2311yescharacteristic
241C2×D4×D61—28no—
242C2×D4×D61C2318yes—
243C23×Dic61C2311yescharacteristic
244C23×Dic61C2311yescharacteristic
245C23×Dic61C2311yescharacteristic
246C23×Dic61C2311yescharacteristic
247C23×Dic61C2311yescharacteristic
248C23×Dic61C2311yescharacteristic
249C22×C4×D61C2311yescharacteristic
250C22×C4×D61C2311yescharacteristic
251C22×C4×D61C2311yescharacteristic
252C22×C4×D61C2311yescharacteristic
253C22×C4×D61C2311yescharacteristic
254C22×C4×D61C2311yescharacteristic
255C22×C4×D61C2311yescharacteristic
256C22×C4×D61C2311yescharacteristic
257C22×C4×D61C2311yescharacteristic
258C22×C4×D61C2311yescharacteristic
259C22×C4×D61C2311yescharacteristic
260C22×C4×D61C2311yescharacteristic
261#14519776C2318yescomplemented
262#14519775C2318yescomplemented
263#14519772C2318yes—
264#14519772C2318yes—
265#14519772C2318yes—
266#14519772C2318yes—
267#14519772C2318yes—
268#14519772C2318yescomplemented
269#14519771C2318yes—
270#14519771C2318yes—
271#14519771C2318yes—
272#14519771C2318yes—
273#14519771C2318yescomplemented
274#14519771C2318yescomplemented
275#14519771C2318yescomplemented
276#14519771C2318yescomplemented
277#14519771C2318yescomplemented
278#14519771C2318yescomplemented
279#14519770C2318yescomplemented
280#14519770C2318yescomplemented
281#14519770C2318yescomplemented
282#14519770C2318yescomplemented
283#14519769C2318yescomplemented
284#14519768C2318yescomplemented
285#14519767C2318yescomplemented
286#14519767C2318yescomplemented
287#14519767C2318yescomplemented
288#14519767C2318yescomplemented
289#14519767C2318yescomplemented
290#14519767C2318yescomplemented
291#14519766C2318yes—
292#14519765C2318yes—
293#14519763C2318yes—
294#14519763C2318yes—
295#14519763C2318yes—
296#14519763C2318yescomplemented
297#14519762C2318yes—
298#14519762C2318yes—
299#14519762C2318yes—
300#14519762C2318yescomplemented
301#14519762C2318yescomplemented
302#14519762C2318yescomplemented
303#14519761C2318yes—
304#14519761C2318yescomplemented
305#14519760C2318yes—
306#14519760C2318yescomplemented
307#14519759C2318yescomplemented
308#14519759C2318yescomplemented
309#14519759C2318yescomplemented
310#14519759C2318yescomplemented
311#14519758C2318yes—
312#14519758C2318yescomplemented
313#14519757C2318yescomplemented
314#14519756C2318yescomplemented
315#14519755C2318yes—
316#14519755C2318yes—
317#14519755C2318yescomplemented
318#14519755C2318yescomplemented
319#14519755C2318yescomplemented
320#14519755C2318yescomplemented
321#14519754C2318yescomplemented
322#14519754C2318yescomplemented
323#14519754C2318yescomplemented
324#14519754C2318yescomplemented
325#14519753C2318yescomplemented
326#14519753C2318yescomplemented
327#14519752C2318yes—
328#14519751C2318yescomplemented
329#14519750C2318yes—
330#14519750C2318yes—
331#14519750C2318yes—
332#14519750C2318yescomplemented
333#14519749C2318yes—
334#14519749C2318yes—
335#14519749C2318yescomplemented
336#14519749C2318yescomplemented
337#14519747C2318yes—
338#14519747C2318yes—
339#14519745C2318yes—
340#14519745C2318yes—
341C4×Dic122C2318yescomplemented
342C4×Dic122C2318yescomplemented
343C4×Dic122C2318yescomplemented
344#14519742C2318yescomplemented
345#14519742C2318yescomplemented
346#14519742C2318yescomplemented
347C4×D244C2318yes—
348C4×D244C2318yescomplemented
349C4×D244C2318yescomplemented
350D4×Dic61C2318yes—
351D4×Dic61C2318yescomplemented
352#14519739C2318yes—
353#14519739C2318yes—
354#14519739C2318yescomplemented
355C4×C22⋊D61C2318yes—
356C4×C22⋊D61C2318yes—
357C4×C22⋊D61C2318yes—
358C4×C22⋊D61C2318yescomplemented
359C4×C22⋊D61C2318yescomplemented
360C4×C22⋊D61C2318yescomplemented
361#14519737C2318yes—
362#14519737C2318yes—
363#14519737C2318yes—
364#14519737C2318yes—
365#14519737C2318yescomplemented
366#14519737C2318yescomplemented
367#14519737C2318yescomplemented
368#14519737C2318yescomplemented
369#14519736C2318yescomplemented
370#14519735C2318yes—
371#14519735C2318yescomplemented
372#14519735C2318yescomplemented
373#14519734C2318yes—
374#14519734C2318yescomplemented
375#14519734C2318yescomplemented
376#14519734C2318yescomplemented
377#14519733C2318yescomplemented
378#14519733C2318yescomplemented
379#14519733C2318yescomplemented
380#14519733C2318yescomplemented
381C2×C4⋊Dic61C2311yescharacteristic
382C2×C4⋊Dic61C2311yescharacteristic
383C2×C4⋊Dic61C2311yescharacteristic
384C2×C4⋊Dic61C2311yescharacteristic
385C2×C4⋊Dic61C2311yescharacteristic
386C2×C4⋊Dic61C2311yescharacteristic
387C2×C4⋊Dic61C2311yescharacteristic
388C2×C4⋊Dic61C2311yescharacteristic
389C2×#11758196C2311yescharacteristic
390C2×#11758196C2311yescharacteristic
391C2×#11758196C2311yescharacteristic
392C2×#11758196C2311yescharacteristic
393C2×#11758196C2311yescharacteristic
394C2×#11758196C2311yescharacteristic
395C2×#11758196C2311yescharacteristic
396C2×#11758196C2311yescharacteristic
397C2×#11758196C2311yescharacteristic
398C2×#11758196C2311yescharacteristic
399C2×#11758196C2311yescharacteristic
400C2×#11758196C2311yescharacteristic
401C2×#11758196C2311yescharacteristic
402C2×#11758196C2311yescharacteristic
403C2×#11758196C2311yescharacteristic
404C2×#11758196C2311yescharacteristic
405C2×#11758196C2311yescharacteristic
406C2×#11758196C2311yescharacteristic
407C2×#11758196C2311yescharacteristic
408C2×#11758196C2311yescharacteristic
409C2×#11758196C2311yescharacteristic
410C2×#11758196C2311yescharacteristic
411C2×#11758196C2311yescharacteristic
412C2×#11758196C2311yescharacteristic
413C2×#11758196C2311yescharacteristic
414C2×#11758196C2311yescharacteristic
415C2×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2318yescomplemented
418C2×#11758196C2318yescomplemented
419C2×#11758196C2318yescomplemented
420C2×#11758196C2318yescomplemented
421C4⋊C4×D61C2318yescomplemented
422C4⋊C4×D61C2318yescomplemented
423C4⋊C4×D61C2318yescomplemented
424C2×C22⋊Dic61C2311yescharacteristic
425C2×C22⋊Dic61C2311yescharacteristic
426C2×C22⋊Dic61C2311yescharacteristic
427C2×C22⋊Dic61C2311yescharacteristic
428C2×C22⋊Dic61C2311yescharacteristic
429C2×C22⋊Dic61C2311yescharacteristic
430C2×C22⋊Dic61C2311yescharacteristic
431C2×C22⋊Dic61C2311yescharacteristic
432C2×#11758198C2311yescharacteristic
433C2×#11758198C2311yescharacteristic
434C2×#11758198C2311yescharacteristic
435C2×#11758198C2311yescharacteristic
436C2×#11758198C2311yescharacteristic
437C2×#11758198C2311yescharacteristic
438C2×#11758198C2311yescharacteristic
439C2×#11758198C2311yescharacteristic
440C2×#11758198C2311yescharacteristic
441C2×#11758198C2311yescharacteristic
442C2×#11758198C2311yescharacteristic
443C2×#11758198C2311yescharacteristic
444C2×#11758198C2311yescharacteristic
445C2×#11758198C2311yescharacteristic
446C2×#11758198C2318yes—
447C2×#11758198C2318yes—
448C2×#11758198C2311yescharacteristic
449C2×#11758198C2311yescharacteristic
450C2×#11758198C2311yescharacteristic
451C2×#11758198C2311yescharacteristic
452C2×#11758198C2318yes—
453C2×#11758198C2318yes—
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2311yescharacteristic
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2311yescharacteristic
459C2×#11758198C2311yescharacteristic
460C2×#11758198C2311yescharacteristic
461C2×#11758198C2311yescharacteristic
462C2×#11758198C2311yescharacteristic
463C2×#11758198C2311yescharacteristic
464C22⋊C4×D61C2318yes—
465C22⋊C4×D61C2318yes—
466C22⋊C4×D61C2318yes—
467C22⋊C4×D61C2318yes—
468C2×C4×Dic61C2311yescharacteristic
469C2×C4×Dic61C2311yescharacteristic
470C2×C4×Dic61C2311yescharacteristic
471C2×C4×Dic61C2311yescharacteristic
472C2×C4×Dic61C2311yescharacteristic
473C2×C4×Dic61C2311yescharacteristic
474C2×C4×Dic61C2311yescharacteristic
475C2×C4×Dic61C2311yescharacteristic
476C2×C4×Dic61C2311yescharacteristic
477C2×C4×Dic61C2311yescharacteristic
478C2×C4×Dic61C2311yescharacteristic
479C2×C4×Dic61C2311yescharacteristic
480C42×D61C2318yescomplemented
481C42×D61C2318yescomplemented
482C22×Q8×C61C2311yescharacteristic
483C22×D4×C61C2311yescharacteristic
484C22×D4×C61C2311yescharacteristic
485C22×D4×C61C2311yescharacteristic
486C23×C4×C61C2311yescharacteristic
487C23×C4×C61C2311yescharacteristic
488C23×C4×C61C2311yescharacteristic
489C23×C4×C61C2311yescharacteristic
490C23×C4×C61C2311yescharacteristic
491#126×C61C2318yescomplemented
492#126×C61C2318yescomplemented
493#125×C61C2318yescomplemented
494#124×C61C2318yescomplemented
495#123×C61C2318yes—
496#123×C61C2318yescomplemented
497C22⋊Q8×C61C2318yescomplemented
498#121×C61C2318yes—
499C4×Q8×C61C2318yescomplemented
500C4×D4×C61C2318yes—
501C4×D4×C61C2318yescomplemented
502C4×D4×C61C2318yescomplemented
503#117×C61C2318yescomplemented
504#117×C61C2318yescomplemented
505C2×C4⋊C4×C61C2311yescharacteristic
506C2×C4⋊C4×C61C2311yescharacteristic
507C2×C4⋊C4×C61C2311yescharacteristic
508C2×C4⋊C4×C61C2311yescharacteristic
509C2×C4⋊C4×C61C2311yescharacteristic
510C2×C4⋊C4×C61C2311yescharacteristic
511C2×C4⋊C4×C61C2311yescharacteristic
512C2×C4⋊C4×C61C2311yescharacteristic
513C2×C4⋊C4×C61C2311yescharacteristic
514C2×C4⋊C4×C61C2311yescharacteristic
515C2×C22⋊C4×C61C2311yescharacteristic
516C2×C22⋊C4×C61C2311yescharacteristic
517C2×C22⋊C4×C61C2311yescharacteristic
518C2×C22⋊C4×C61C2311yescharacteristic
519C2×C22⋊C4×C61C2311yescharacteristic
520C2×C22⋊C4×C61C2311yescharacteristic
521C2×C22⋊C4×C61C2311yescharacteristic
522C2×C22⋊C4×C61C2311yescharacteristic
523C2×C22⋊C4×C61C2311yescharacteristic
524C2×C22⋊C4×C61C2311yescharacteristic
525C2×C42×C61C2311yescharacteristic
526C2×C42×C61C2311yescharacteristic
527C2×C42×C61C2311yescharacteristic
528C2×C42×C61C2311yescharacteristic
529C2×C42×C61C2311yescharacteristic
530C2×C42×C61C2311yescharacteristic
531C2×C42×C61C2318yescomplemented
532C24×C61C2411yescharacteristic
533C24×C61C2411yescharacteristic
534C24×C61C2411yescharacteristic
535C23×D61—24no—
536C23×D61—24no—
537C23×D61—42no—
538C23×D61—42no—
539C23×D61—42no—
540C23×D61—42no—
541C23×D61C2411yescharacteristic
542C23×D61C2411yescharacteristic
543C23×D61C2411yescharacteristic
544C23×D61C2411yescharacteristic
545C23×D61C2414yes—
546C23×D61C2414yes—
547C2×Q8×C61—42no—
548C2×Q8×C61C2414yes—
549C2×D4×C61—24no—
550C2×D4×C61—24no—
551C2×D4×C61—42no—
552C2×D4×C61C2414yes—
553C2×D4×C61C2414yes—
554C2×D4×C61C2414yes—
555C22×C4×C61—24no—
556C22×C4×C61—42no—
557C22×C4×C61—42no—
558C22×C4×C61—42no—
559C22×C4×C61—42no—
560C22×C4×C61C2411yescharacteristic
561C22×C4×C61C2411yescharacteristic
562C22×C4×C61C2411yescharacteristic
563C22×C4×C61C2411yescharacteristic
564C22×C4×C61C2411yescharacteristic
565C22×C4×C61C2411yescharacteristic
566C22×C4×C61C2411yescharacteristic
567C22×C4×C61C2411yescharacteristic
568C22×C4×C61C2411yescharacteristic
569C22×C4×C61C2411yescharacteristic
570C22×C4×C61C2414yes—
571C22×C4×C61C2411yescharacteristic
572C22×C4×C61C2411yescharacteristic
573C22×C4×C61C2414yes—
574C22×C4×C61C2414yes—
575C22×C4×C61C2414yes—
576C22×C4×C61C2414yes—
577C2×C22⋊D61—24no—
578C2×C22⋊D61—24no—
579C2×C22⋊D61—24no—
580C2×C22⋊D61—42no—
581C2×C22⋊D61—42no—
582C2×C22⋊D61—42no—
583C2×C22⋊D61—42no—
584C2×C22⋊D61#4118yes—
585C2×C22⋊D61C2414yes—
586C2×C22⋊D61C2414yes—
587C2×C22⋊D61C2414yes—
588C2×C22⋊D61C2414yes—
589C2×C22⋊D61C2414yes—
590C2×C22⋊D61C2414yes—
591C2×C22⋊D61C2414yes—
592C2×C22⋊D61C2414yes—
593C22×Dic61—24no—
594C22×Dic61—24no—
595C22×Dic61—42no—
596C22×Dic61—42no—
597C22×Dic61—42no—
598C22×Dic61—42no—
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—
612C22×Dic61C2414yes—
613C22×Dic61C2414yes—
614C22×Dic61C2414yes—
615C22×Dic61C2414yes—
616C22×Dic61C2411yescharacteristic
617#11758224—232no—
618D4×D61—232no—
619#11758222—232no—
620C2×D244—24no—
621C2×D244—24no—
622C2×D244—42no—
623C2×D244—42no—
624C2×D244C2414yes—
625C2×D244C2414yes—
626C2×D244C2414yes—
627C2×D244C2414yes—
628C2×C4×D61—24no—
629C2×C4×D61—24no—
630C2×C4×D61—24no—
631C2×C4×D61—24no—
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×D61C2414yes—
641C2×C4×D61C2414yes—
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×Dic122—24no—
653C2×Dic122—24no—
654C2×Dic122—42no—
655C2×Dic122—42no—
656C2×Dic122C2414yes—
657C2×Dic122C2414yes—
658C2×Dic122C2414yes—
659C2×Dic122C2414yes—
660C4⋊C4×C61C2414yes—
661C4⋊C4×C61C2414yes—
662C4⋊C4×C61C2414yes—
663C4⋊C4×C61C2414yes—
664C4⋊C4×C61C2414yes—
665C4⋊C4×C61C2414yes—
666C4⋊C4×C61C2414yes—
667C4⋊C4×C61C2414yes—
668C4⋊C4×C61C2414yes—
669C4⋊C4×C61C2414yes—
670C22⋊C4×C61C2414yes—
671C22⋊C4×C61C2414yes—
672C22⋊C4×C61C2414yes—
673C22⋊C4×C61C2414yes—
674C22⋊C4×C61C2414yes—
675C22⋊C4×C61C2414yes—
676C22⋊C4×C61C2414yes—
677C22⋊C4×C61C2414yes—
678C22⋊C4×C61C2414yes—
679C22⋊C4×C61C2414yes—
680C42×C61C2414yes—
681C42×C61C2414yes—
682C42×C61C2414yes—
683C42×C61C2414yes—
684C42×C61C2414yes—
685C42×C61C2414yes—
686C22⋊Dic61C2414yes—
687C22⋊Dic61C2414yes—
688C22⋊Dic61C2414yes—
689C22⋊Dic61C2414yes—
690C22⋊Dic61C2414yes—
691C22⋊Dic61C2414yes—
692C22⋊Dic61C2414yes—
693C22⋊Dic61C2414yes—
694#11758198C2414yes—
695#11758198C2414yes—
696#11758198C2414yes—
697#11758198C2414yes—
698#11758198C2414yes—
699#11758198C2414yes—
700#11758198C2414yes—
701#11758198C2414yes—
702#11758198C2414yes—
703#11758198C2414yes—
704#11758198C2414yes—
705#11758198C2414yes—
706#11758198C2414yes—
707#11758198C2414yes—
708#11758198C2414yes—
709#11758198C2414yes—
710#11758198C2414yes—
711#11758198C2414yes—
712#11758198C2414yes—
713#11758198C2414yes—
714#11758198C2414yes—
715#11758198C2414yes—
716#11758198C2414yes—
717#11758198C2414yes—
718#11758198C2414yes—
719#11758198C2414yes—
720#11758198C2414yes—
721#11758198C2414yes—
722C4⋊Dic61C2414yes—
723C4⋊Dic61C2414yes—
724C4⋊Dic61C2414yes—
725C4⋊Dic61C2414yes—
726C4⋊Dic61C2414yes—
727C4⋊Dic61C2414yes—
728C4⋊Dic61C2414yes—
729C4⋊Dic61C2414yes—
730#11758196C2414yes—
731#11758196C2414yes—
732#11758196C2414yes—
733#11758196C2414yes—
734#11758196C2414yes—
735#11758196C2414yes—
736#11758196C2414yes—
737#11758196C2414yes—
738#11758196C2414yes—
739#11758196C2414yes—
740#11758196C2414yes—
741#11758196C2414yes—
742#11758196C2414yes—
743#11758196C2414yes—
744#11758196C2414yes—
745#11758196C2414yes—
746#11758196C2414yes—
747#11758196C2414yes—
748#11758196C2414yes—
749#11758196C2414yes—
750#11758196C2414yes—
751#11758196C2414yes—
752#11758196C2414yes—
753#11758196C2414yes—
754#11758196C2414yes—
755#11758196C2414yes—
756#11758196C2414yes—
757#11758196C2414yes—
758C4×Dic61C2414yes—
759C4×Dic61C2414yes—
760C4×Dic61C2414yes—
761C4×Dic61C2414yes—
762C4×Dic61C2414yes—
763C4×Dic61C2414yes—
764C4×Dic61C2414yes—
765C4×Dic61C2414yes—
766C4×Dic61C2414yes—
767C4×Dic61C2414yes—
768C4×Dic61C2414yes—
769C4×Dic61C2414yes—
770C23×C61—22no—
771C23×C61—22no—
772C23×C61—22no—
773C23×C61—22no—
774C23×C61—22no—
775C23×C61—22no—
776C23×C61—22no—
777C23×C61—22no—
778C23×C61C2×#4114yes—
779C23×C61C2512yes—
780C23×C61C2512yes—
781C23×C61C2512yes—
782C23×C61C2511yescharacteristic
783C22×D61—22no—
784C22×D61—22no—
785C22×D61—22no—
786C22×D61—22no—
787C22×D61—22no—
788C22×D61—22no—
789C22×D61—22no—
790C22×D61—22no—
791C22×D61—22no—
792C22×D61—22no—
793C22×D61—22no—
794C22×D61—28no—
795C22×D61—28no—
796C22×D61—44no—
797C22×D61—44no—
798C22×D61—44no—
799C22×D61—44no—
800C22×D61—88no—
801C22×D61—88no—
802C22×D61C2×#4114yes—
803C22×D61C2512yes—
804C22×D61C2512yes—
805C22×D61C2512yes—
806C22×D61C2512yes—
807Q8×C61—44no—
808D4×C61—28no—
809D4×C61—28no—
810D4×C61—44no—
811C2×C4×C61—22no—
812C2×C4×C61—22no—
813C2×C4×C61—22no—
814C2×C4×C61—22no—
815C2×C4×C61—28no—
816C2×C4×C61—22no—
817C2×C4×C61—22no—
818C2×C4×C61—22no—
819C2×C4×C61—22no—
820C2×C4×C61—22no—
821C2×C4×C61—22no—
822C2×C4×C61—22no—
823C2×C4×C61—22no—
824C2×C4×C61—44no—
825C2×C4×C61—44no—
826C2×C4×C61—44no—
827C2×C4×C61—44no—
828C2×C4×C61C2512yes—
829C2×C4×C61C2512yes—
830C2×C4×C61C2512yes—
831C2×C4×C61C2512yes—
832C2×C4×C61C2512yes—
833C2×C4×C61C2512yes—
834C2×C4×C61C2512yes—
835C2×C4×C61C2512yes—
836C2×C4×C61C2512yes—
837C2×C4×C61C2512yes—
838C2×C4×C61C2512yes—
839C2×C4×C61C2512yes—
840C22⋊D61—28no—
841C22⋊D61—28no—
842C22⋊D61—28no—
843C22⋊D61—44no—
844C22⋊D61—44no—
845C22⋊D61—44no—
846C22⋊D61—44no—
847C22⋊D61C2×#41116yes—
848C2×Dic61—22no—
849C2×Dic61—22no—
850C2×Dic61—22no—
851C2×Dic61—28no—
852C2×Dic61—22no—
853C2×Dic61—22no—
854C2×Dic61—22no—
855C2×Dic61—22no—
856C2×Dic61—22no—
857C2×Dic61—22no—
858C2×Dic61—22no—
859C2×Dic61—22no—
860C2×Dic61—28no—
861C2×Dic61—44no—
862C2×Dic61—44no—
863C2×Dic61—44no—
864C2×Dic61—44no—
865C2×Dic61C2×#4114yes—
866C2×Dic61C2512yes—
867C2×Dic61C2512yes—
868C2×Dic61C2512yes—
869C2×Dic61C2512yes—
870C2×Dic61C2512yes—
871C2×Dic61C2512yes—
872C2×Dic61C2512yes—
873C2×Dic61C2512yes—
874C2×Dic61C2512yes—
875C2×Dic61C2512yes—
876C2×Dic61C2512yes—
877C2×Dic61C2512yes—
878D244—28no—
879D244—28no—
880D244—44no—
881D244—44no—
882C4×D61—28no—
883C4×D61—28no—
884C4×D61—28no—
885C4×D61—28no—
886C4×D61—44no—
887C4×D61—44no—
888C4×D61—44no—
889C4×D61—44no—
890C4×D61—44no—
891C4×D61—44no—
892C4×D61—44no—
893C4×D61—44no—
894Dic122—28no—
895Dic122—28no—
896Dic122—44no—
897Dic122—44no—
898C2×#3521—611nomaximal, Sylow
899C22×C61—22no—
900C22×C61—22no—
901C22×C61—28no—
902C22×C61—22no—
903C22×C61—22no—
904C22×C61—22no—
905C22×C61—22no—
906C22×C61—22no—
907C22×C61—22no—
908C22×C61—44no—
909C22×C61—44no—
910C22×C61C22×#4114yes—
911C22×C61C22×#4112yes—
912C22×C61#58512yes—
913C22×C61#58512yes—
914C22×C61C2611yescharacteristic
915C2×D61—22no—
916C2×D61—22no—
917C2×D61—28no—
918C2×D61—22no—
919C2×D61—22no—
920C2×D61—22no—
921C2×D61—22no—
922C2×D61—22no—
923C2×D61—22no—
924C2×D61—22no—
925C2×D61—22no—
926C2×D61—22no—
927C2×D61—44no—
928C2×D61—44no—
929C2×D61—44no—
930C2×D61—88no—
931C2×D61—88no—
932C2×D61C22×#4114yes—
933C4×C61—22no—
934C4×C61—22no—
935C4×C61—22no—
936C4×C61—22no—
937C4×C61—22no—
938C4×C61—22no—
939C4×C61—22no—
940C4×C61—22no—
941C4×C61—22no—
942C4×C61—22no—
943C4×C61—22no—
944C4×C61—22no—
945Dic61—22no—
946Dic61—22no—
947Dic61—22no—
948Dic61—22no—
949Dic61—22no—
950Dic61—22no—
951Dic61—22no—
952Dic61—22no—
953Dic61—22no—
954Dic61—22no—
955Dic61—22no—
956Dic61C22×#4114yes—
957#3521—6132no—
958C2×#556—611no—
959C2×#556—611no—
960C2×#554—611no—
961C2×#553—611no—
962C2×#553—611no—
963C2×#553—611no—
964C2×#552—611no—
965C2×#552—611no—
966C2×#552—611no—
967C2×#551—611no—
968C2×#551—611no—
969C2×#551—611no—
970C2×#551—611no—
971C2×#547—611no—
972C2×#546—611no—
973C2×#546—611no—
974C2×#542—611no—
975C2×#541—611no—
976C2×#539—611no—
977C2×#539—611no—
978C2×#538—611no—
979C2×#538—611no—
980C2×#529—611no—
981C2×#529—611no—
982C2×#529—611no—
983C2×#529D6111yescharacteristic, complemented
984C22×#126—611no—
985C22×#126—611no—
986C2×#520—611no—
987C2×#518—611no—
988C2×C4×#41—611no—
989C2×C61—24no—
990C2×C61—42no—
991C2×C61—42no—
992C2×C61#352114yescomplemented
993C2×C61C23×#4111yescharacteristic
994C2×C61C2×#58511yescharacteristic
995C2×C61C2×#58511yescharacteristic
996D61—24no—
997D61—42no—
998D61—42no—
999D61—42no—
1000C22×#41—611no—
1001C22×#41—611no—
1002C23×D4—611no—
1003#556—6116no—
1004#556—6116no—
1005#554—6116no—
1006#553—6116no—
1007#553—6116no—
1008#553—6116no—
1009#552—6116no—
1010#552—6116no—
1011#552—6116no—
1012#551—6116no—
1013#551—6116no—
1014#551—6116no—
1015#551—6116no—
1016#547—6116no—
1017#546—6116no—
1018#546—6116no—
1019#542—6116no—
1020#541—6116no—
1021#539—6116no—
1022#539—6116no—
1023#538—6116no—
1024#538—6116no—
1025C2×C4⋊Q8—611no—
1026C2×C4⋊Q8—611no—
1027#529—6116no—
1028#529—6116no—
1029#529—6116no—
1030#529C2×D61116yescomplemented
1031C2×#126—6116no—
1032C2×#126—611no—
1033C2×#126—611no—
1034C2×#126—611no—
1035C2×#126—611no—
1036C2×#126—611no—
1037C2×#126—611no—
1038C2×#126—611no—
1039C2×#126—611no—
1040C2×#126—611no—
1041C2×#126—611no—
1042C2×#126—611no—
1043C2×#126—611no—
1044C2×#126—611no—
1045C2×#126—611no—
1046C2×#126—611no—
1047C2×#126—611no—
1048C2×#126—611no—
1049C2×#126—611no—
1050C2×#126—611no—
1051C2×#126—611no—
1052C2×#126—6116no—
1053C2×#126C2×D6111yescharacteristic, complemented
1054C2×#126C2×D6111yescharacteristic, complemented
1055C2×#125—611no—
1056C2×#125—611no—
1057C2×#125—611no—
1058C2×#125—611no—
1059C2×#125—611no—
1060C2×#125—611no—
1061C2×#125—611no—
1062C2×#125—611no—
1063C2×#125C2×D6111yescharacteristic, complemented
1064C2×#124—611no—
1065C2×#124—611no—
1066C2×#124—611no—
1067C2×#124—611no—
1068C2×#124—611no—
1069C2×#124—611no—
1070C2×#124C2×D6111yescharacteristic, complemented
1071C2×#123—611no—
1072C2×#123—611no—
1073C2×#123—611no—
1074C2×#123—611no—
1075C2×#123—611no—
1076C2×#123—611no—
1077C2×#123—611no—
1078C2×#123—611no—
1079C2×#123—611no—
1080C2×#123—611no—
1081C2×#123—611no—
1082C2×#123—611no—
1083C2×#123—611no—
1084C2×#123—611no—
1085C2×#123—611no—
1086C2×#123—611no—
1087C2×#123C2×D6111yescharacteristic
1088C2×#123C2×D6111yescharacteristic, complemented
1089C2×C22⋊Q8—611no—
1090C2×C22⋊Q8—611no—
1091C2×C22⋊Q8—611no—
1092C2×C22⋊Q8—611no—
1093C2×C22⋊Q8—611no—
1094C2×C22⋊Q8—611no—
1095C2×C22⋊Q8—611no—
1096C2×C22⋊Q8—611no—
1097C2×C22⋊Q8—611no—
1098C2×C22⋊Q8—611no—
1099C2×C22⋊Q8—611no—
1100C2×C22⋊Q8—611no—
1101C2×C22⋊Q8—611no—
1102C2×C22⋊Q8—611no—
1103C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1104C2×#121—611no—
1105C2×#121—611no—
1106C2×#121—611no—
1107C2×#121—611no—
1108C2×#121—611no—
1109C2×#121—611no—
1110C2×#121—611no—
1111C2×#121—611no—
1112C2×#121—611no—
1113C2×#121—611no—
1114C2×#121C2×D6111yescharacteristic
1115C2×#120—611no—
1116C2×#120—611no—
1117C2×#120—611no—
1118C2×#120—611no—
1119#520—6116no—
1120#518—6116no—
1121C4×#41—6116no—
1122C2×C4×Q8—611no—
1123C2×C4×Q8—611no—
1124C2×C4×Q8—611no—
1125C2×C4×Q8—611no—
1126C2×C4×Q8—611no—
1127C2×C4×Q8—611no—
1128C2×C4×Q8C2×D6111yescharacteristic, complemented
1129C2×C4×D4—611no—
1130C2×C4×D4—611no—
1131C2×C4×D4—611no—
1132C2×C4×D4—611no—
1133C2×C4×D4—611no—
1134C2×C4×D4—611no—
1135C2×C4×D4—611no—
1136C2×C4×D4—611no—
1137C2×C4×D4—611no—
1138C2×C4×D4—611no—
1139C2×C4×D4—611no—
1140C2×C4×D4—611no—
1141C2×C4×D4—611no—
1142C2×C4×D4—611no—
1143C2×C4×D4—611no—
1144C2×C4×D4—611no—
1145C2×C4×D4—611no—
1146C2×C4×D4—611no—
1147C2×C4×D4—611no—
1148C2×C4×D4—611no—
1149C2×C4×D4—611no—
1150C2×C4×D4—611no—
1151C2×C4×D4C2×D6111yescharacteristic
1152C2×C4×D4C2×D6111yescharacteristic, complemented
1153C2×C4×D4C2×D6111yescharacteristic, complemented
1154C2×#117—611no—
1155C2×#117—611no—
1156C2×#117—611no—
1157C2×#117—611no—
1158C2×#117—611no—
1159C2×#117—611no—
1160C2×#117—611no—
1161C2×#117—611no—
1162C2×#117—611no—
1163C2×#117—611no—
1164C2×#117—611no—
1165C2×#117—611no—
1166C2×#117C2×D6111yescharacteristic, complemented
1167C2×#117C2×D6111yescharacteristic, complemented
1168C22×C4⋊C4—611no—
1169C22×C4⋊C4—611no—
1170C22×C4⋊C4—611no—
1171C22×C4⋊C4—611no—
1172C22×C4⋊C4—611no—
1173C22×C4⋊C4—611no—
1174C22×C4⋊C4—611no—
1175C22×C22⋊C4—611no—
1176C22×C22⋊C4—611no—
1177C22×C22⋊C4—611no—
1178C22×C22⋊C4—611no—
1179C22×C22⋊C4—611no—
1180C22×C22⋊C4—611no—
1181C22×C22⋊C4—611no—
1182C22×C22⋊C4—611no—
1183C22×C42—611no—
1184C22×C42—611no—
1185C22×C42C2×D6111yescharacteristic, complemented
1186C61C2×#352111yescharacteristic, complemented, Sylow
1187C25—611no—
1188C25—611no—
1189C2×#41—618no—
1190C2×#41—618no—
1191C2×#41—1228no—
1192C2×#41—1228no—
1193C22×Q8—611no—
1194C22×Q8—611no—
1195C22×Q8—611no—
1196C22×Q8—611no—
1197C22×Q8C22×D6111yescharacteristic
1198C22×D4—611no—
1199C22×D4—611no—
1200C22×D4—611no—
1201C22×D4—611no—
1202C22×D4—611no—
1203C22×D4—611no—
1204C22×D4—611no—
1205C22×D4—611no—
1206C22×D4—618no—
1207C22×D4—611no—
1208C22×D4—611no—
1209C22×D4—611no—
1210C22×D4—611no—
1211C22×D4—1228no—
1212C22×D4C22×D6111yescharacteristic
1213C22×D4C22×D6111yescharacteristic
1214C22×D4C22×D6111yescharacteristic
1215C23×C4—611no—
1216C23×C4—611no—
1217C23×C4—611no—
1218C23×C4—611no—
1219C23×C4—611no—
1220C23×C4—611no—
1221C23×C4—611no—
1222C23×C4—611no—
1223C23×C4—611no—
1224C23×C4—611no—
1225C23×C4—611no—
1226C23×C4—611no—
1227C23×C4—611no—
1228C23×C4—611no—
1229C23×C4—611no—
1230C23×C4—611no—
1231C23×C4—611no—
1232C23×C4—611no—
1233C23×C4C22×D6111yescharacteristic
1234C23×C4C22×D6111yescharacteristic
1235C23×C4C22×D6111yescharacteristic
1236C23×C4C22×D6111yescharacteristic
1237C23×C4C22×D6111yescharacteristic
1238C4⋊Q8—618no—
1239C4⋊Q8—618no—
1240#126—618no—
1241#126—618no—
1242#126—618no—
1243#126—618no—
1244#126—618no—
1245#126—618no—
1246#126—618no—
1247#126—618no—
1248#126—618no—
1249#126—618no—
1250#126—618no—
1251#126—618no—
1252#126—618no—
1253#126—618no—
1254#126—618no—
1255#126—618no—
1256#126—618no—
1257#126—618no—
1258#126—618no—
1259#126—618no—
1260#126C22×D6118yescomplemented
1261#126C22×D6118yescomplemented
1262#125—618no—
1263#125—618no—
1264#125—618no—
1265#125—618no—
1266#125—618no—
1267#125—618no—
1268#125—618no—
1269#125—618no—
1270#125C22×D6118yescomplemented
1271#124—618no—
1272#124—618no—
1273#124—618no—
1274#124—618no—
1275#124—618no—
1276#124—618no—
1277#124C22×D6118yescomplemented
1278#123—618no—
1279#123—618no—
1280#123—618no—
1281#123—618no—
1282#123—618no—
1283#123—618no—
1284#123—618no—
1285#123—618no—
1286#123—618no—
1287#123—618no—
1288#123—618no—
1289#123—618no—
1290#123—618no—
1291#123—618no—
1292#123—618no—
1293#123—618no—
1294#123C22×D6118yes—
1295#123C22×D6118yescomplemented
1296C22⋊Q8—618no—
1297C22⋊Q8—618no—
1298C22⋊Q8—618no—
1299C22⋊Q8—618no—
1300C22⋊Q8—618no—
1301C22⋊Q8—618no—
1302C22⋊Q8—618no—
1303C22⋊Q8—618no—
1304C22⋊Q8—618no—
1305C22⋊Q8—618no—
1306C22⋊Q8—618no—
1307C22⋊Q8—618no—
1308C22⋊Q8—618no—
1309C22⋊Q8—618no—
1310C22⋊Q8C22×D6118yescomplemented
1311#121—618no—
1312#121—618no—
1313#121—618no—
1314#121—618no—
1315#121—618no—
1316#121—618no—
1317#121—618no—
1318#121—618no—
1319#121—618no—
1320#121—618no—
1321#121C22×D6118yes—
1322#120—618no—
1323#120—618no—
1324#120—618no—
1325#120—618no—
1326C4×Q8—618no—
1327C4×Q8—618no—
1328C4×Q8—618no—
1329C4×Q8—618no—
1330C4×Q8—618no—
1331C4×Q8—618no—
1332C4×Q8C22×D6118yescomplemented
1333C4×D4—618no—
1334C4×D4—618no—
1335C4×D4—618no—
1336C4×D4—618no—
1337C4×D4—618no—
1338C4×D4—618no—
1339C4×D4—618no—
1340C4×D4—618no—
1341C4×D4—618no—
1342C4×D4—618no—
1343C4×D4—618no—
1344C4×D4—618no—
1345C4×D4—618no—
1346C4×D4—618no—
1347C4×D4—618no—
1348C4×D4—618no—
1349C4×D4—618no—
1350C4×D4—618no—
1351C4×D4—618no—
1352C4×D4—618no—
1353C4×D4—618no—
1354C4×D4—618no—
1355C4×D4C22×D6118yes—
1356C4×D4C22×D6118yescomplemented
1357C4×D4C22×D6118yescomplemented
1358#117—618no—
1359#117—618no—
1360#117—618no—
1361#117—618no—
1362#117—618no—
1363#117—618no—
1364#117—618no—
1365#117—618no—
1366#117—618no—
1367#117—618no—
1368#117—618no—
1369#117—618no—
1370#117C22×D6118yescomplemented
1371#117C22×D6118yescomplemented
1372C2×C4⋊C4—611no—
1373C2×C4⋊C4—611no—
1374C2×C4⋊C4—611no—
1375C2×C4⋊C4—611no—
1376C2×C4⋊C4—611no—
1377C2×C4⋊C4—611no—
1378C2×C4⋊C4—611no—
1379C2×C4⋊C4—611no—
1380C2×C4⋊C4—611no—
1381C2×C4⋊C4—611no—
1382C2×C4⋊C4—611no—
1383C2×C4⋊C4—611no—
1384C2×C4⋊C4—618no—
1385C2×C4⋊C4—618no—
1386C2×C4⋊C4—611no—
1387C2×C4⋊C4—611no—
1388C2×C4⋊C4—611no—
1389C2×C4⋊C4—611no—
1390C2×C4⋊C4—611no—
1391C2×C4⋊C4—611no—
1392C2×C4⋊C4—611no—
1393C2×C4⋊C4—611no—
1394C2×C4⋊C4—618no—
1395C2×C4⋊C4—618no—
1396C2×C4⋊C4—611no—
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—618no—
1413C2×C4⋊C4—618no—
1414C2×C4⋊C4—618no—
1415C2×C4⋊C4C22×D6111yescharacteristic
1416C2×C4⋊C4C22×D6111yescharacteristic
1417C2×C4⋊C4C22×D6111yescharacteristic
1418C2×C4⋊C4C22×D6111yescharacteristic
1419C2×C4⋊C4C22×D6111yescharacteristic
1420C2×C4⋊C4C22×D6111yescharacteristic
1421C2×C4⋊C4C22×D6111yescharacteristic
1422C2×C4⋊C4C22×D6111yescharacteristic
1423C2×C4⋊C4C22×D6111yescharacteristic
1424C2×C4⋊C4C22×D6111yescharacteristic
1425C2×C22⋊C4—611no—
1426C2×C22⋊C4—611no—
1427C2×C22⋊C4—611no—
1428C2×C22⋊C4—611no—
1429C2×C22⋊C4—611no—
1430C2×C22⋊C4—611no—
1431C2×C22⋊C4—611no—
1432C2×C22⋊C4—611no—
1433C2×C22⋊C4—611no—
1434C2×C22⋊C4—611no—
1435C2×C22⋊C4—611no—
1436C2×C22⋊C4—611no—
1437C2×C22⋊C4—611no—
1438C2×C22⋊C4—611no—
1439C2×C22⋊C4—611no—
1440C2×C22⋊C4—611no—
1441C2×C22⋊C4—611no—
1442C2×C22⋊C4—611no—
1443C2×C22⋊C4—611no—
1444C2×C22⋊C4—611no—
1445C2×C22⋊C4—618no—
1446C2×C22⋊C4—618no—
1447C2×C22⋊C4—611no—
1448C2×C22⋊C4—611no—
1449C2×C22⋊C4—611no—
1450C2×C22⋊C4—611no—
1451C2×C22⋊C4—611no—
1452C2×C22⋊C4—611no—
1453C2×C22⋊C4—618no—
1454C2×C22⋊C4—618no—
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—618no—
1466C2×C22⋊C4—618no—
1467C2×C22⋊C4—618no—
1468C2×C22⋊C4—618no—
1469C2×C22⋊C4C22×D6111yescharacteristic
1470C2×C22⋊C4C22×D6111yescharacteristic
1471C2×C22⋊C4C22×D6111yescharacteristic
1472C2×C22⋊C4C22×D6111yescharacteristic
1473C2×C22⋊C4C22×D6111yescharacteristic
1474C2×C22⋊C4C22×D6111yescharacteristic
1475C2×C22⋊C4C22×D6111yescharacteristic
1476C2×C22⋊C4C22×D6111yescharacteristic
1477C2×C22⋊C4C22×D6111yescharacteristic
1478C2×C22⋊C4C22×D6111yescharacteristic
1479C2×C42—611no—
1480C2×C42—611no—
1481C2×C42—611no—
1482C2×C42—611no—
1483C2×C42—611no—
1484C2×C42—611no—
1485C2×C42—611no—
1486C2×C42—611no—
1487C2×C42—611no—
1488C2×C42—611no—
1489C2×C42—611no—
1490C2×C42—611no—
1491C2×C42—618no—
1492C2×C42—618no—
1493C2×C42C22×D6111yescharacteristic
1494C2×C42C22×D6111yescharacteristic
1495C2×C42C22×D6111yescharacteristic
1496C2×C42C22×D6111yescharacteristic
1497C2×C42C22×D6111yescharacteristic
1498C2×C42C22×D6111yescharacteristic
1499C2×C42C22×D6118yescomplemented
1500C24—611no—
1501C24—611no—
1502C24—611no—
1503C24—611no—
1504C24—614no—
1505C24—614no—
1506C24—1224no—
1507C24—1224no—
1508C24—2442no—
1509C24—2442no—
1510C24—2442no—
1511C24—2442no—
1512C24C23×D6111yescharacteristic
1513C24C23×D6111yescharacteristic
1514C24C23×D6111yescharacteristic
1515#41—12232no—
1516#41—12232no—
1517C2×Q8—42no—
1518C2×Q8—614no—
1519C2×Q8—614no—
1520C2×Q8—614no—
1521C2×Q8—614no—
1522C2×Q8—1224no—
1523C2×Q8—1224no—
1524C2×Q8—2442no—
1525C2×Q8—2442no—
1526C2×Q8C23×D6114yes—
1527C2×D4—24no—
1528C2×D4—24no—
1529C2×D4—42no—
1530C2×D4—618no—
1531C2×D4—614no—
1532C2×D4—614no—
1533C2×D4—614no—
1534C2×D4—614no—
1535C2×D4—614no—
1536C2×D4—614no—
1537C2×D4—614no—
1538C2×D4—614no—
1539C2×D4—614no—
1540C2×D4—614no—
1541C2×D4—614no—
1542C2×D4—614no—
1543C2×D4—1224no—
1544C2×D4—1224no—
1545C2×D4—1224no—
1546C2×D4—12232no—
1547C2×D4—1224no—
1548C2×D4—1224no—
1549C2×D4—2442no—
1550C2×D4—2442no—
1551C2×D4—2442no—
1552C2×D4—2442no—
1553C2×D4—2442no—
1554C2×D4—2442no—
1555C2×D4C23×D6114yes—
1556C2×D4C23×D6114yes—
1557C2×D4C23×D6114yes—
1558C22×C4—24no—
1559C22×C4—42no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—611no—
1564C22×C4—614no—
1565C22×C4—614no—
1566C22×C4—611no—
1567C22×C4—611no—
1568C22×C4—611no—
1569C22×C4—611no—
1570C22×C4—611no—
1571C22×C4—611no—
1572C22×C4—611no—
1573C22×C4—611no—
1574C22×C4—611no—
1575C22×C4—611no—
1576C22×C4—611no—
1577C22×C4—614no—
1578C22×C4—614no—
1579C22×C4—614no—
1580C22×C4—614no—
1581C22×C4—614no—
1582C22×C4—614no—
1583C22×C4—614no—
1584C22×C4—614no—
1585C22×C4—614no—
1586C22×C4—614no—
1587C22×C4—614no—
1588C22×C4—614no—
1589C22×C4—614no—
1590C22×C4—614no—
1591C22×C4—614no—
1592C22×C4—614no—
1593C22×C4—1224no—
1594C22×C4—1224no—
1595C22×C4—1224no—
1596C22×C4—1224no—
1597C22×C4—1224no—
1598C22×C4—1224no—
1599C22×C4—2442no—
1600C22×C4—2442no—
1601C22×C4—2442no—
1602C22×C4—2442no—
1603C22×C4—2442no—
1604C22×C4—2442no—
1605C22×C4—2442no—
1606C22×C4—2442no—
1607C22×C4—2442no—
1608C22×C4—2442no—
1609C22×C4—2442no—
1610C22×C4—2442no—
1611C22×C4C23×D6114yes—
1612C22×C4C23×D6111yescharacteristic
1613C22×C4C23×D6111yescharacteristic
1614C22×C4C23×D6111yescharacteristic
1615C22×C4C23×D6111yescharacteristic
1616C22×C4C23×D6111yescharacteristic
1617C22×C4C23×D6111yescharacteristic
1618C22×C4C23×D6111yescharacteristic
1619C22×C4C23×D6111yescharacteristic
1620C22×C4C23×D6111yescharacteristic
1621C22×C4C23×D6111yescharacteristic
1622C22×C4C23×D6111yescharacteristic
1623C22×C4C23×D6111yescharacteristic
1624C22×C4C23×D6114yes—
1625C22×C4C23×D6114yes—
1626C22×C4C23×D6114yes—
1627C22×C4C23×D6114yes—
1628C4⋊C4—614no—
1629C4⋊C4—614no—
1630C4⋊C4—614no—
1631C4⋊C4—614no—
1632C4⋊C4—614no—
1633C4⋊C4—614no—
1634C4⋊C4—614no—
1635C4⋊C4—614no—
1636C4⋊C4—614no—
1637C4⋊C4—614no—
1638C4⋊C4—614no—
1639C4⋊C4—614no—
1640C4⋊C4—614no—
1641C4⋊C4—614no—
1642C4⋊C4—614no—
1643C4⋊C4—614no—
1644C4⋊C4—614no—
1645C4⋊C4—614no—
1646C4⋊C4—614no—
1647C4⋊C4—614no—
1648C4⋊C4—614no—
1649C4⋊C4—614no—
1650C4⋊C4—614no—
1651C4⋊C4—614no—
1652C4⋊C4—614no—
1653C4⋊C4—614no—
1654C4⋊C4—614no—
1655C4⋊C4—614no—
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⋊C4C23×D6114yes—
1665C4⋊C4C23×D6114yes—
1666C4⋊C4C23×D6114yes—
1667C4⋊C4C23×D6114yes—
1668C4⋊C4C23×D6114yes—
1669C4⋊C4C23×D6114yes—
1670C4⋊C4C23×D6114yes—
1671C4⋊C4C23×D6114yes—
1672C4⋊C4C23×D6114yes—
1673C4⋊C4C23×D6114yes—
1674C22⋊C4—614no—
1675C22⋊C4—614no—
1676C22⋊C4—614no—
1677C22⋊C4—614no—
1678C22⋊C4—614no—
1679C22⋊C4—614no—
1680C22⋊C4—614no—
1681C22⋊C4—614no—
1682C22⋊C4—614no—
1683C22⋊C4—614no—
1684C22⋊C4—614no—
1685C22⋊C4—614no—
1686C22⋊C4—614no—
1687C22⋊C4—614no—
1688C22⋊C4—614no—
1689C22⋊C4—614no—
1690C22⋊C4—614no—
1691C22⋊C4—614no—
1692C22⋊C4—614no—
1693C22⋊C4—614no—
1694C22⋊C4—614no—
1695C22⋊C4—614no—
1696C22⋊C4—614no—
1697C22⋊C4—614no—
1698C22⋊C4—614no—
1699C22⋊C4—614no—
1700C22⋊C4—614no—
1701C22⋊C4—614no—
1702C22⋊C4—614no—
1703C22⋊C4—614no—
1704C22⋊C4—614no—
1705C22⋊C4—614no—
1706C22⋊C4—614no—
1707C22⋊C4—614no—
1708C22⋊C4—614no—
1709C22⋊C4—614no—
1710C22⋊C4C23×D6114yes—
1711C22⋊C4C23×D6114yes—
1712C22⋊C4C23×D6114yes—
1713C22⋊C4C23×D6114yes—
1714C22⋊C4C23×D6114yes—
1715C22⋊C4C23×D6114yes—
1716C22⋊C4C23×D6114yes—
1717C22⋊C4C23×D6114yes—
1718C22⋊C4C23×D6114yes—
1719C22⋊C4C23×D6114yes—
1720C42—614no—
1721C42—614no—
1722C42—614no—
1723C42—614no—
1724C42—614no—
1725C42—614no—
1726C42—614no—
1727C42—614no—
1728C42—614no—
1729C42—614no—
1730C42—614no—
1731C42—614no—
1732C42C23×D6114yes—
1733C42C23×D6114yes—
1734C42C23×D6114yes—
1735C42C23×D6114yes—
1736C42C23×D6114yes—
1737C42C23×D6114yes—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—614no—
1747C23—612no—
1748C23—612no—
1749C23—612no—
1750C23—612no—
1751C23—1228no—
1752C23—1222no—
1753C23—1222no—
1754C23—1228no—
1755C23—1222no—
1756C23—1222no—
1757C23—1222no—
1758C23—1222no—
1759C23—1222no—
1760C23—1222no—
1761C23—1222no—
1762C23—1222no—
1763C23—1222no—
1764C23—4888no—
1765C23—4888no—
1766C23—2444no—
1767C23—2444no—
1768C23—2444no—
1769C23—2444no—
1770C23#41×D6114yes—
1771C23C24×D6112yes—
1772C23C24×D6112yes—
1773C23C24×D6112yes—
1774C23C24×D6111yescharacteristic
1775Q8—44no—
1776Q8—1228no—
1777Q8—1228no—
1778Q8—2444no—
1779Q8—2444no—
1780D4—28no—
1781D4—28no—
1782D4—44no—
1783D4—6116no—
1784D4—1228no—
1785D4—1228no—
1786D4—1228no—
1787D4—1228no—
1788D4—1228no—
1789D4—2444no—
1790D4—2444no—
1791D4—2444no—
1792D4—2444no—
1793D4—2444no—
1794D4—2444no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—28no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—44no—
1809C2×C4—44no—
1810C2×C4—44no—
1811C2×C4—44no—
1812C2×C4—614no—
1813C2×C4—612no—
1814C2×C4—612no—
1815C2×C4—612no—
1816C2×C4—612no—
1817C2×C4—612no—
1818C2×C4—612no—
1819C2×C4—612no—
1820C2×C4—612no—
1821C2×C4—612no—
1822C2×C4—612no—
1823C2×C4—612no—
1824C2×C4—612no—
1825C2×C4—1228no—
1826C2×C4—1228no—
1827C2×C4—1228no—
1828C2×C4—1228no—
1829C2×C4—1228no—
1830C2×C4—1222no—
1831C2×C4—1222no—
1832C2×C4—1222no—
1833C2×C4—1228no—
1834C2×C4—1222no—
1835C2×C4—1222no—
1836C2×C4—1222no—
1837C2×C4—1222no—
1838C2×C4—1222no—
1839C2×C4—1222no—
1840C2×C4—1222no—
1841C2×C4—1222no—
1842C2×C4—2444no—
1843C2×C4—2444no—
1844C2×C4—2444no—
1845C2×C4—2444no—
1846C2×C4—2444no—
1847C2×C4—2444no—
1848C2×C4—2444no—
1849C2×C4—2444no—
1850C2×C4—2444no—
1851C2×C4—2444no—
1852C2×C4—2444no—
1853C2×C4—2444no—
1854C2×C4C24×D6112yes—
1855C2×C4C24×D6112yes—
1856C2×C4C24×D6112yes—
1857C2×C4C24×D6112yes—
1858C2×C4C24×D6112yes—
1859C2×C4C24×D6112yes—
1860C2×C4C24×D6112yes—
1861C2×C4C24×D6112yes—
1862C2×C4C24×D6112yes—
1863C2×C4C24×D6112yes—
1864C2×C4C24×D6112yes—
1865C2×C4C24×D6112yes—
1866C22—22no—
1867C22—22no—
1868C22—28no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—44no—
1876C22—44no—
1877C22—614no—
1878C22—1222no—
1879C22—1222no—
1880C22—1228no—
1881C22—1222no—
1882C22—1222no—
1883C22—1222no—
1884C22—1222no—
1885C22—1222no—
1886C22—1222no—
1887C22—1222no—
1888C22—1222no—
1889C22—1222no—
1890C22—4888no—
1891C22—4888no—
1892C22—2444no—
1893C22—2444no—
1894C22—2444no—
1895C22C2×#41×D6114yes—
1896C22C2×#41×D6112yes—
1897C22#1684059812yes—
1898C22#1684059812yes—
1899C22C25×D6111yescharacteristic
1900C4—22no—
1901C4—22no—
1902C4—22no—
1903C4—22no—
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—614no—
1913C4—1222no—
1914C4—1222no—
1915C4—1222no—
1916C4—1222no—
1917C4—1222no—
1918C4—1222no—
1919C4—1222no—
1920C4—1222no—
1921C4—1222no—
1922C4—1222no—
1923C4—1222no—
1924C2—24no—
1925C2—42no—
1926C2—42no—
1927C2—1224no—
1928C2—2442no—
1929C2—2442no—
1930C2—2442no—
1931C2#2145987314yesdirect product factor
1932C2C22×#41×D6111yescharacteristic
1933C2C2×#1684059811yescharacteristic
1934C2C2×#1684059811yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#529C2
socleC23×C61C25
hypercenterC2×#529D61
hypocenterC61C2×#3521
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #21459873C2direct (N × H)
2. C2×#16840484C2semidirect
3. C2×#16840480C2semidirect
4. C2×#16840466C2semidirect
5. C2×#16840461C2semidirect
6. C2×#16840456C2semidirect
7. C2×#16840455C2semidirect
8. C2×#16840453C2semidirect
9. C2×#16840449C2semidirect
10. C2×#16840445C2semidirect
11. C2×#16840441C2semidirect
12. C2×#16840439C2semidirect
13. C2×#16840436C2semidirect
14. C2×#16840435C2semidirect
15. C2×#16840410C2semidirect
16. C2×#16840404C2semidirect
17. C2×#16840401C2semidirect
18. C2×#16840376C2semidirect
19. C2×#16840371C2semidirect
20. C2×#16840360C2semidirect
21. C2×#16840354C2semidirect
22. C2×#16840346C2semidirect
23. C2×#16840345C2semidirect
24. C2×#16840295C2semidirect
25. C2×#16840295C2semidirect
26. C2×#16840295C2semidirect
27. C22×#14519771C2semidirect
28. C2×#126×D61C2semidirect
29. C2×#16840241C2semidirect
30. C2×#16840234C2semidirect
31. C2×C4×#11758222C2semidirect
32. C2×C61×#529C2semidirect
36. #16840484C22semidirect
37. #16840480C22semidirect
38. #16840466C22semidirect
39. #16840461C22semidirect
40. #16840456C22semidirect
41. #16840455C22semidirect
42. #16840453C22semidirect
43. #16840449C22semidirect
44. #16840445C22semidirect
45. #16840441C22semidirect
46. #16840439C22semidirect
47. #16840436C22semidirect
48. #16840435C22semidirect
49. #16840410C22semidirect
50. #16840404C22semidirect
51. #16840401C22semidirect
52. #16840376C22semidirect
53. #16840371C22semidirect
54. #16840360C22semidirect
55. #16840354C22semidirect
56. #16840346C22semidirect
57. #16840345C22semidirect
58. C2×#14519776C22semidirect
59. C2×#14519775C22semidirect
60. #16840295C22semidirect
61. #16840295C22semidirect
62. #16840295C22semidirect
68. C2×#14519772C22semidirect
73. C2×#14519771C22semidirect
74. C2×#14519771C22semidirect
75. C2×#14519771C22semidirect
76. C2×#14519771C22semidirect
77. C2×#14519771C22semidirect
78. C2×#14519771C22semidirect
79. C2×#14519771C22semidirect
80. C2×#14519770C22semidirect
81. C2×#14519770C22semidirect
82. C2×#14519770C22semidirect
83. C2×#14519770C22semidirect
84. #126×D61C22semidirect
85. C2×#14519769C22semidirect
86. C2×#14519768C22semidirect
87. C2×#14519767C22semidirect
88. C2×#14519767C22semidirect
89. C2×#14519767C22semidirect
90. C2×#14519767C22semidirect
91. C2×#14519767C22semidirect
92. C2×#14519767C22semidirect
98. C2×#14519763C22semidirect
102. C2×#14519762C22semidirect
103. C2×#14519762C22semidirect
104. C2×#14519762C22semidirect
106. C2×#14519761C22semidirect
108. C2×#14519760C22semidirect
109. C2×#14519759C22semidirect
110. C2×#14519759C22semidirect
111. C2×#14519759C22semidirect
112. C2×#14519759C22semidirect
114. C2×#14519758C22semidirect
115. C2×#14519757C22semidirect
116. C2×#14519756C22semidirect
119. C2×#14519755C22semidirect
120. C2×#14519755C22semidirect
121. C2×#14519755C22semidirect
122. C2×#14519755C22semidirect
123. C2×#14519754C22semidirect
124. C2×#14519754C22semidirect
125. C2×#14519754C22semidirect
126. C2×#14519754C22semidirect
127. C2×#14519753C22semidirect
128. C2×#14519753C22semidirect
130. C2×#14519751C22semidirect
134. C2×#14519750C22semidirect
137. C2×#14519749C22semidirect
138. C2×#14519749C22semidirect
143. #16840241C22semidirect
144. #16840234C22semidirect
145. C4×#11758222C22semidirect
146. C2×C4×Dic122C22semidirect
147. C2×C4×Dic122C22semidirect
148. C2×C4×Dic122C22semidirect
149. C2×#14519742C22semidirect
150. C2×#14519742C22semidirect
151. C2×#14519742C22semidirect
153. C2×C4×D244C22semidirect
154. C2×C4×D244C22semidirect
156. C2×D4×Dic61C22semidirect
159. C2×#14519739C22semidirect
163. C2×C4×C22⋊D61C22semidirect
164. C2×C4×C22⋊D61C22semidirect
165. C2×C4×C22⋊D61C22semidirect
170. C2×#14519737C22semidirect
171. C2×#14519737C22semidirect
172. C2×#14519737C22semidirect
173. C2×#14519737C22semidirect
174. C2×#14519736C22semidirect
176. C2×#14519735C22semidirect
177. C2×#14519735C22semidirect
179. C2×#14519734C22semidirect
180. C2×#14519734C22semidirect
181. C2×#14519734C22semidirect
182. C2×#14519733C22semidirect
183. C2×#14519733C22semidirect
184. C2×#14519733C22semidirect
185. C2×#14519733C22semidirect
186. C22×#11758196C22semidirect
187. C22×#11758196C22semidirect
188. C22×#11758196C22semidirect
189. C22×#11758196C22semidirect
190. C2×C4⋊C4×D61C22semidirect
191. C2×C4⋊C4×D61C22semidirect
192. C2×C4⋊C4×D61C22semidirect
201. C2×C42×D61C22semidirect
202. C2×C42×D61C22semidirect
203. C61×#529C22semidirect
204. C2×#126×C61C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#125×C61C22semidirect
207. C2×#124×C61C22semidirect
209. C2×#123×C61C22semidirect
210. C2×C22⋊Q8×C61C22semidirect
212. C2×C4×Q8×C61C22semidirect
214. C2×C4×D4×C61C22semidirect
215. C2×C4×D4×C61C22semidirect
216. C2×#117×C61C22semidirect
217. C2×#117×C61C22semidirect
218. C22×C42×C61C22semidirect
261. #14519776C23semidirect
262. #14519775C23semidirect
268. #14519772C23semidirect
273. #14519771C23semidirect
274. #14519771C23semidirect
275. #14519771C23semidirect
276. #14519771C23semidirect
277. #14519771C23semidirect
278. #14519771C23semidirect
279. #14519770C23semidirect
280. #14519770C23semidirect
281. #14519770C23semidirect
282. #14519770C23semidirect
283. #14519769C23semidirect
284. #14519768C23semidirect
285. #14519767C23semidirect
286. #14519767C23semidirect
287. #14519767C23semidirect
288. #14519767C23semidirect
289. #14519767C23semidirect
290. #14519767C23semidirect
296. #14519763C23semidirect
300. #14519762C23semidirect
301. #14519762C23semidirect
302. #14519762C23semidirect
304. #14519761C23semidirect
306. #14519760C23semidirect
307. #14519759C23semidirect
308. #14519759C23semidirect
309. #14519759C23semidirect
310. #14519759C23semidirect
312. #14519758C23semidirect
313. #14519757C23semidirect
314. #14519756C23semidirect
317. #14519755C23semidirect
318. #14519755C23semidirect
319. #14519755C23semidirect
320. #14519755C23semidirect
321. #14519754C23semidirect
322. #14519754C23semidirect
323. #14519754C23semidirect
324. #14519754C23semidirect
325. #14519753C23semidirect
326. #14519753C23semidirect
328. #14519751C23semidirect
332. #14519750C23semidirect
335. #14519749C23semidirect
336. #14519749C23semidirect
341. C4×Dic122C23semidirect
342. C4×Dic122C23semidirect
343. C4×Dic122C23semidirect
344. #14519742C23semidirect
345. #14519742C23semidirect
346. #14519742C23semidirect
348. C4×D244C23semidirect
349. C4×D244C23semidirect
351. D4×Dic61C23semidirect
354. #14519739C23semidirect
358. C4×C22⋊D61C23semidirect
359. C4×C22⋊D61C23semidirect
360. C4×C22⋊D61C23semidirect
365. #14519737C23semidirect
366. #14519737C23semidirect
367. #14519737C23semidirect
368. #14519737C23semidirect
369. #14519736C23semidirect
371. #14519735C23semidirect
372. #14519735C23semidirect
374. #14519734C23semidirect
375. #14519734C23semidirect
376. #14519734C23semidirect
377. #14519733C23semidirect
378. #14519733C23semidirect
379. #14519733C23semidirect
380. #14519733C23semidirect
417. C2×#11758196C23semidirect
418. C2×#11758196C23semidirect
419. C2×#11758196C23semidirect
420. C2×#11758196C23semidirect
421. C4⋊C4×D61C23semidirect
422. C4⋊C4×D61C23semidirect
423. C4⋊C4×D61C23semidirect
480. C42×D61C23semidirect
481. C42×D61C23semidirect
491. #126×C61C23semidirect
492. #126×C61C23semidirect
493. #125×C61C23semidirect
494. #124×C61C23semidirect
496. #123×C61C23semidirect
497. C22⋊Q8×C61C23semidirect
499. C4×Q8×C61C23semidirect
501. C4×D4×C61C23semidirect
502. C4×D4×C61C23semidirect
503. #117×C61C23semidirect
504. #117×C61C23semidirect
531. C2×C42×C61C23semidirect
983. C2×#529D61semidirect
992. C2×C61#3521semidirect
1030. #529C2×D61semidirect
1053. C2×#126C2×D61semidirect
1054. C2×#126C2×D61semidirect
1063. C2×#125C2×D61semidirect
1070. C2×#124C2×D61semidirect
1088. C2×#123C2×D61semidirect
1103. C2×C22⋊Q8C2×D61semidirect
1128. C2×C4×Q8C2×D61semidirect
1152. C2×C4×D4C2×D61semidirect
1153. C2×C4×D4C2×D61semidirect
1166. C2×#117C2×D61semidirect
1167. C2×#117C2×D61semidirect
1185. C22×C42C2×D61semidirect
1186. C61C2×#3521semidirect
1260. #126C22×D61semidirect
1261. #126C22×D61semidirect
1270. #125C22×D61semidirect
1277. #124C22×D61semidirect
1295. #123C22×D61semidirect
1310. C22⋊Q8C22×D61semidirect
1332. C4×Q8C22×D61semidirect
1356. C4×D4C22×D61semidirect
1357. C4×D4C22×D61semidirect
1370. #117C22×D61semidirect
1371. #117C22×D61semidirect
1499. C2×C42C22×D61semidirect
1931. C2#21459873direct (N × H)

Maximal subgroups

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

subgroupindex
#214598732
C2×#168404842
C2×#168404802
C2×#168404662
C2×#168404612
C2×#168404562
C2×#168404552
C2×#168404532
C2×#168404492
C2×#168404452
C2×#168404412
C2×#168404392
C2×#168404362
C2×#168404352
C2×#168404102
C2×#168404042
C2×#168404012
C2×#168403762
C2×#168403712
C2×#168403602
C2×#168403542
C2×#168403462
C2×#168403452
C2×#168402952
C22×#145197712
C2×#126×D612
C2×#168402412
C2×#168402342
C2×C4×#117582222
C2×C61×#5292
C2×#352161