Finite Group Databasebeta

← C2×#21459558 #30588430

Subgroups — C2×#21459558 #30588430

Order 15616.

7206 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459558C2132yesmaximal, direct product factor
2C2×#16840481C211yesmaximal, characteristic, complemented
3C2×#16840479C211yesmaximal, characteristic, complemented
4C2×#16840471C211yesmaximal, characteristic, complemented
5C2×#16840466C211yesmaximal, characteristic, complemented
6C2×#16840454C211yesmaximal, characteristic, complemented
7C2×#16840452C211yesmaximal, characteristic, complemented
8C2×#16840449C211yesmaximal, characteristic, complemented
9C2×#16840449C211yesmaximal, characteristic, complemented
10C2×#16840449C211yesmaximal, characteristic, complemented
11C2×#16840448C211yesmaximal, characteristic, complemented
12C2×#16840445C211yesmaximal, characteristic, complemented
13C2×#16840445C211yesmaximal, characteristic, complemented
14C2×#16840443C211yesmaximal, characteristic, complemented
15C2×#16840438C211yesmaximal, characteristic, complemented
16C2×#16840438C211yesmaximal, characteristic, complemented
17C2×#16840391C211yesmaximal, characteristic, complemented
18C2×#16840380C211yesmaximal, characteristic, complemented
19C2×#16840376C211yesmaximal, characteristic, complemented
20C2×#16840369C211yesmaximal, characteristic, complemented
21C2×#16840369C211yesmaximal, characteristic, complemented
22C2×#16840334C211yesmaximal, characteristic, complemented
23C2×#16840315C211yesmaximal, characteristic, complemented
24C2×#16840314C211yesmaximal, characteristic, complemented
25C2×#16840292C211yesmaximal, characteristic, complemented
26C2×#16840289C211yesmaximal, characteristic, complemented
27C2×#16840268C211yesmaximal, characteristic
28C22×#14519754C211yesmaximal, characteristic, complemented
29C2×#16840241C211yesmaximal, characteristic, complemented
30C2×#16840239C211yesmaximal, characteristic, complemented
31C22×#14519733C211yesmaximal, characteristic, complemented
32C2×C61×#551C211yesmaximal, characteristic, complemented
33C22×#11758224C2211yescharacteristic
34C23×Dic122C2211yescharacteristic
35C24×Dic61C2211yescharacteristic
36#16840481C22116yescomplemented
37#16840479C22116yescomplemented
38#16840471C22116yescomplemented
39#16840466C22116yescomplemented
40#16840454C22116yescomplemented
41#16840452C22116yescomplemented
42#16840449C22116yescomplemented
43#16840449C22116yescomplemented
44#16840449C22116yescomplemented
45#16840448C22116yescomplemented
46#16840445C22116yescomplemented
47#16840445C22116yescomplemented
48#16840443C22116yescomplemented
49#16840438C22116yescomplemented
50#16840438C22116yescomplemented
51#16840391C22116yescomplemented
52#16840380C22116yescomplemented
53#16840376C22116yescomplemented
54#16840369C22116yescomplemented
55#16840369C22116yescomplemented
56#16840334C22116yescomplemented
57#16840315C22116yescomplemented
58#16840314C22116yescomplemented
59C2×#14519776C2211yescharacteristic, complemented
60C2×#14519776C2211yescharacteristic, complemented
61C2×#14519776C2211yescharacteristic, complemented
62C2×#14519776C2211yescharacteristic, complemented
63C2×#14519775C2211yescharacteristic, complemented
64C2×#14519775C2211yescharacteristic, complemented
65#16840292C22116yescomplemented
66#16840289C22116yescomplemented
67C2×#14519772C2211yescharacteristic, complemented
68C2×#14519772C2211yescharacteristic, complemented
69C2×#14519772C2211yescharacteristic, complemented
70C2×#14519771C2211yescharacteristic, complemented
71C2×#14519770C2211yescharacteristic
72C2×#14519770C2211yescharacteristic
73C2×#14519770C2211yescharacteristic
74C2×#14519770C2211yescharacteristic
75C2×#14519770C2211yescharacteristic
76C2×#14519770C2211yescharacteristic
77C2×#14519770C2211yescharacteristic, complemented
78C2×#14519770C2211yescharacteristic, complemented
79C2×#14519770C2211yescharacteristic, complemented
80C2×#14519770C2211yescharacteristic, complemented
81C2×#14519769C2211yescharacteristic, complemented
82C2×#14519769C2211yescharacteristic, complemented
83C2×#14519768C2211yescharacteristic, complemented
84C2×#14519768C2211yescharacteristic, complemented
85C2×#14519768C2211yescharacteristic, complemented
86C2×#14519768C2211yescharacteristic, complemented
87C2×#14519767C2211yescharacteristic, complemented
88C2×#14519767C2211yescharacteristic, complemented
89C2×#14519767C2211yescharacteristic, complemented
90C2×#14519767C2211yescharacteristic, complemented
91C2×#14519767C2211yescharacteristic, complemented
92C2×#14519767C2211yescharacteristic, complemented
93C2×#14519767C2211yescharacteristic, complemented
94C2×#14519767C2211yescharacteristic, complemented
95C2×#14519767C2211yescharacteristic, complemented
96C2×#14519767C2211yescharacteristic, complemented
97C2×#14519764C2211yescharacteristic
98C2×#14519763C2211yescharacteristic
99C2×#14519763C2211yescharacteristic
100C2×#14519763C2211yescharacteristic, complemented
101C2×#14519763C2211yescharacteristic, complemented
102#16840268C22116yes—
103C2×#14519761C2211yescharacteristic
104C2×#14519761C2211yescharacteristic
105C2×#14519761C2211yescharacteristic
106C2×#14519760C2211yescharacteristic
107C2×#14519760C2211yescharacteristic
108C2×#14519759C2211yescharacteristic
109C2×#14519759C2211yescharacteristic
110C2×#14519758C2211yescharacteristic
111C2×#14519758C2211yescharacteristic
112C2×#14519758C2211yescharacteristic
113C2×#14519758C2211yescharacteristic
114C2×#14519756C2211yescharacteristic
115C2×#14519756C2211yescharacteristic
116C2×#14519756C2211yescharacteristic, complemented
117C2×#14519755C2211yescharacteristic, complemented
118C2×#14519755C2211yescharacteristic, complemented
119C2×#14519755C2211yescharacteristic, complemented
120C2×#14519754C2211yescharacteristic
121C2×#14519754C2211yescharacteristic
122C2×#14519754C2211yescharacteristic
123C2×#14519754C2211yescharacteristic
124C2×#14519754C2211yescharacteristic
125C2×#14519754C2211yescharacteristic
126C2×#14519754C2211yescharacteristic
127C2×#14519754C2211yescharacteristic
128C2×#14519754C2211yescharacteristic
129C2×#14519754C2211yescharacteristic
130C2×#14519754C2211yescharacteristic
131C2×#14519754C2211yescharacteristic
132C2×#14519754C2211yescharacteristic
133C2×#14519754C2211yescharacteristic
134C2×#14519754C22116yescomplemented
135C2×#14519754C2211yescharacteristic, complemented
136C2×#14519754C2211yescharacteristic, complemented
137C2×#14519754C2211yescharacteristic, complemented
138C2×#14519753C2211yescharacteristic, complemented
139C2×#14519749C2211yescharacteristic
140C2×#14519749C2211yescharacteristic
141C2×#14519746C2211yescharacteristic
142#16840241C22116yescomplemented
143#16840239C22116yescomplemented
144C2×Q8×Dic61C2211yescharacteristic, complemented
145C2×C4×Dic122C2211yescharacteristic, complemented
146C2×C4×Dic122C2211yescharacteristic, complemented
147C2×C4×Dic122C2211yescharacteristic, complemented
148C2×C4×Dic122C2211yescharacteristic, complemented
149C2×C4×Dic122C2211yescharacteristic, complemented
150C2×C4×Dic122C2211yescharacteristic, complemented
151C2×C4×Dic122C2211yescharacteristic, complemented
152C2×#14519742C2211yescharacteristic, complemented
153C2×#14519742C2211yescharacteristic, complemented
154C2×#14519742C2211yescharacteristic, complemented
155C2×#14519742C2211yescharacteristic, complemented
156C2×#14519742C2211yescharacteristic, complemented
157C2×#14519742C2211yescharacteristic, complemented
158C2×D4×Dic61C2211yescharacteristic
159C2×D4×Dic61C2211yescharacteristic
160C2×D4×Dic61C2211yescharacteristic
161C2×D4×Dic61C2211yescharacteristic
162C2×C4×C22⋊D61C2211yescharacteristic
163C2×C4×C22⋊D61C2211yescharacteristic
164C2×C4×C22⋊D61C2211yescharacteristic, complemented
165C2×#14519737C2211yescharacteristic
166C2×#14519737C2211yescharacteristic
167C2×#14519737C2211yescharacteristic
168C2×#14519737C2211yescharacteristic
169C2×#14519737C2211yescharacteristic, complemented
170C2×#14519736C2211yescharacteristic
171C2×#14519736C2211yescharacteristic
172C2×#14519736C2211yescharacteristic, complemented
173C2×#14519735C2211yescharacteristic, complemented
174C2×#14519734C2211yescharacteristic, complemented
175C2×#14519734C2211yescharacteristic, complemented
176C2×#14519733C2211yescharacteristic
177C2×#14519733C2211yescharacteristic
178C2×#14519733C2211yescharacteristic
179C2×#14519733C2211yescharacteristic
180C2×#14519733C2211yescharacteristic
181C2×#14519733C2211yescharacteristic
182C2×#14519733C2211yescharacteristic
183C2×#14519733C2211yescharacteristic
184C2×#14519733C2211yescharacteristic
185C2×#14519733C2211yescharacteristic
186C2×#14519733C2211yescharacteristic
187C2×#14519733C2211yescharacteristic
188C2×#14519733C2211yescharacteristic
189C2×#14519733C22116yescomplemented
190C2×#14519733C2211yescharacteristic, complemented
191C2×#14519733C2211yescharacteristic, complemented
192C22×C4⋊Dic61C2211yescharacteristic
193C22×#11758196C2211yescharacteristic
194C22×#11758196C2211yescharacteristic
195C22×#11758196C2211yescharacteristic
196C22×#11758196C2211yescharacteristic
197C22×#11758196C2211yescharacteristic, complemented
198C2×C4⋊C4×D61C2211yescharacteristic, complemented
199C22×C22⋊Dic61C2211yescharacteristic
200C22×C22⋊Dic61C2211yescharacteristic
201C22×C4×Dic61C2211yescharacteristic
202C22×C4×Dic61C2211yescharacteristic
203C61×#551C22116yescomplemented
204C2×#126×C61C2211yescharacteristic
205C2×#126×C61C2211yescharacteristic
206C2×#124×C61C2211yescharacteristic
207C2×#123×C61C2211yescharacteristic
208C2×#123×C61C2211yescharacteristic
209C2×#123×C61C2211yescharacteristic
210C2×C22⋊Q8×C61C2211yescharacteristic
211C2×C22⋊Q8×C61C2211yescharacteristic
212C2×#120×C61C2211yescharacteristic
213C2×C4×D4×C61C2211yescharacteristic
214C2×C4×D4×C61C2211yescharacteristic
215C2×#117×C61C2211yescharacteristic
216C2×#117×C61C2211yescharacteristic
217C22×C22⋊C4×C61C2211yescharacteristic
218C22×C22⋊C4×C61C2211yescharacteristic
219C2×#11758224—28no—
220C2×#11758224C2318yes—
221C22×Dic122—28no—
222C22×Dic122C2311yescharacteristic
223C22×Dic122C2311yescharacteristic
224C22×Dic122C2311yescharacteristic
225C22×Dic122C2311yescharacteristic
226C22×Dic122C2311yescharacteristic
227C22×Dic122C2318yes—
228C22×Dic122C2311yescharacteristic
229C22×Dic122C2311yescharacteristic
230C22×Dic122C2311yescharacteristic
231C22×C22⋊D61C2311yescharacteristic
232C22×C22⋊D61C2311yescharacteristic
233C22×C22⋊D61C2311yescharacteristic
234C22×C22⋊D61C2311yescharacteristic
235C23×Dic61—28no—
236C23×Dic61C2311yescharacteristic
237C23×Dic61C2311yescharacteristic
238C23×Dic61C2311yescharacteristic
239C23×Dic61C2311yescharacteristic
240C23×Dic61C2311yescharacteristic
241C23×Dic61C2311yescharacteristic
242C23×Dic61C2311yescharacteristic
243C23×Dic61C2311yescharacteristic
244C23×Dic61C2318yes—
245C23×Dic61C2311yescharacteristic
246C23×Dic61C2311yescharacteristic
247C23×Dic61C2311yescharacteristic
248C23×Dic61C2311yescharacteristic
249C22×C4×D61C2311yescharacteristic
250C22×C4×D61C2311yescharacteristic
251C22×C4×D61C2311yescharacteristic
252#14519776C2318yescomplemented
253#14519776C2318yescomplemented
254#14519776C2318yescomplemented
255#14519776C2318yescomplemented
256#14519775C2318yescomplemented
257#14519775C2318yescomplemented
258#14519772C2318yescomplemented
259#14519772C2318yescomplemented
260#14519772C2318yescomplemented
261#14519771C2318yescomplemented
262#14519770C2318yes—
263#14519770C2318yes—
264#14519770C2318yes—
265#14519770C2318yes—
266#14519770C2318yes—
267#14519770C2318yes—
268#14519770C2318yescomplemented
269#14519770C2318yescomplemented
270#14519770C2318yescomplemented
271#14519770C2318yescomplemented
272#14519769C2318yescomplemented
273#14519769C2318yescomplemented
274#14519768C2318yescomplemented
275#14519768C2318yescomplemented
276#14519768C2318yescomplemented
277#14519768C2318yescomplemented
278#14519767C2318yescomplemented
279#14519767C2318yescomplemented
280#14519767C2318yescomplemented
281#14519767C2318yescomplemented
282#14519767C2318yescomplemented
283#14519767C2318yescomplemented
284#14519767C2318yescomplemented
285#14519767C2318yescomplemented
286#14519767C2318yescomplemented
287#14519767C2318yescomplemented
288#14519764C2318yes—
289#14519763C2318yes—
290#14519763C2318yes—
291#14519763C2318yescomplemented
292#14519763C2318yescomplemented
293#14519761C2318yes—
294#14519761C2318yes—
295#14519761C2318yes—
296#14519760C2318yes—
297#14519760C2318yes—
298#14519759C2318yes—
299#14519759C2318yes—
300#14519758C2318yes—
301#14519758C2318yes—
302#14519758C2318yes—
303#14519758C2318yes—
304#14519756C2318yes—
305#14519756C2318yes—
306#14519756C2318yescomplemented
307#14519755C2318yescomplemented
308#14519755C2318yescomplemented
309#14519755C2318yescomplemented
310#14519754C2318yes—
311#14519754C2318yes—
312#14519754C2318yes—
313#14519754C2318yes—
314#14519754C2318yes—
315#14519754C2318yes—
316#14519754C2318yes—
317#14519754C2318yes—
318#14519754C2318yes—
319#14519754C2318yes—
320#14519754C2318yes—
321#14519754C2318yes—
322#14519754C2318yes—
323#14519754C2318yes—
324#14519754C2318yescomplemented
325#14519754C2318yescomplemented
326#14519754C2318yescomplemented
327#14519753C2318yescomplemented
328#14519749C2318yes—
329#14519749C2318yes—
330#14519746C2318yes—
331Q8×Dic61C2318yescomplemented
332C4×Dic122C2318yescomplemented
333C4×Dic122C2318yescomplemented
334C4×Dic122C2318yescomplemented
335C4×Dic122C2318yescomplemented
336C4×Dic122C2318yescomplemented
337C4×Dic122C2318yescomplemented
338C4×Dic122C2318yescomplemented
339#14519742C2318yescomplemented
340#14519742C2318yescomplemented
341#14519742C2318yescomplemented
342#14519742C2318yescomplemented
343#14519742C2318yescomplemented
344#14519742C2318yescomplemented
345D4×Dic61C2318yes—
346D4×Dic61C2318yes—
347D4×Dic61C2318yes—
348D4×Dic61C2318yes—
349C4×C22⋊D61C2318yes—
350C4×C22⋊D61C2318yes—
351C4×C22⋊D61C2318yescomplemented
352#14519737C2318yes—
353#14519737C2318yes—
354#14519737C2318yes—
355#14519737C2318yes—
356#14519737C2318yescomplemented
357#14519736C2318yes—
358#14519736C2318yes—
359#14519736C2318yescomplemented
360#14519735C2318yescomplemented
361#14519734C2318yescomplemented
362#14519734C2318yescomplemented
363#14519733C2318yes—
364#14519733C2318yes—
365#14519733C2318yes—
366#14519733C2318yes—
367#14519733C2318yes—
368#14519733C2318yes—
369#14519733C2318yes—
370#14519733C2318yes—
371#14519733C2318yes—
372#14519733C2318yes—
373#14519733C2318yes—
374#14519733C2318yes—
375#14519733C2318yes—
376#14519733C2318yescomplemented
377#14519733C2318yescomplemented
378C2×C4⋊Dic61C2318yes—
379C2×C4⋊Dic61C2311yescharacteristic
380C2×C4⋊Dic61C2311yescharacteristic
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×C4⋊Dic61C2311yescharacteristic
390C2×C4⋊Dic61C2311yescharacteristic
391C2×C4⋊Dic61C2311yescharacteristic
392C2×C4⋊Dic61C2311yescharacteristic
393C2×#11758196C2318yes—
394C2×#11758196C2318yes—
395C2×#11758196C2318yes—
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×#11758196C2318yes—
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
431C2×#11758196C2311yescharacteristic
432C2×#11758196C2311yescharacteristic
433C2×#11758196C2318yescomplemented
434C4⋊C4×D61C2318yescomplemented
435C2×C22⋊Dic61C2311yescharacteristic
436C2×C22⋊Dic61C2311yescharacteristic
437C2×C22⋊Dic61C2311yescharacteristic
438C2×C22⋊Dic61C2311yescharacteristic
439C2×C22⋊Dic61C2311yescharacteristic
440C2×C22⋊Dic61C2318yes—
441C2×C22⋊Dic61C2311yescharacteristic
442C2×C22⋊Dic61C2311yescharacteristic
443C2×C22⋊Dic61C2311yescharacteristic
444C2×C22⋊Dic61C2318yes—
445C2×C22⋊Dic61C2311yescharacteristic
446C2×C22⋊Dic61C2311yescharacteristic
447C2×C22⋊Dic61C2311yescharacteristic
448C2×C22⋊Dic61C2311yescharacteristic
449C2×C22⋊Dic61C2311yescharacteristic
450C2×C22⋊Dic61C2311yescharacteristic
451C2×C22⋊Dic61C2311yescharacteristic
452C2×C22⋊Dic61C2311yescharacteristic
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2311yescharacteristic
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2311yescharacteristic
459C2×#11758198C2311yescharacteristic
460C2×#11758198C2311yescharacteristic
461C2×C4×Dic61C2311yescharacteristic
462C2×C4×Dic61C2311yescharacteristic
463C2×C4×Dic61C2311yescharacteristic
464C2×C4×Dic61C2311yescharacteristic
465C2×C4×Dic61C2311yescharacteristic
466C2×C4×Dic61C2311yescharacteristic
467C2×C4×Dic61C2311yescharacteristic
468C2×C4×Dic61C2311yescharacteristic
469C2×C4×Dic61C2318yes—
470C2×C4×Dic61C2318yes—
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
480C2×C4×Dic61C2311yescharacteristic
481C2×C4×Dic61C2311yescharacteristic
482C25×C61C2311yescharacteristic
483C22×Q8×C61C2311yescharacteristic
484C22×D4×C61C2311yescharacteristic
485C22×D4×C61C2311yescharacteristic
486C22×D4×C61C2311yescharacteristic
487C23×C4×C61C2311yescharacteristic
488C23×C4×C61C2311yescharacteristic
489C23×C4×C61C2311yescharacteristic
490C23×C4×C61C2311yescharacteristic
491C23×C4×C61C2311yescharacteristic
492#126×C61C2318yes—
493#126×C61C2318yes—
494#124×C61C2318yes—
495#123×C61C2318yes—
496#123×C61C2318yes—
497#123×C61C2318yes—
498C22⋊Q8×C61C2318yes—
499C22⋊Q8×C61C2318yes—
500#120×C61C2318yes—
501C4×D4×C61C2318yes—
502C4×D4×C61C2318yes—
503#117×C61C2318yes—
504#117×C61C2318yes—
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×C22⋊C4×C61C2318yes—
514C2×C22⋊C4×C61C2318yes—
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×C22⋊C4×C61C2311yescharacteristic
526C2×C22⋊C4×C61C2311yescharacteristic
527C2×C22⋊C4×C61C2311yescharacteristic
528C2×C22⋊C4×C61C2311yescharacteristic
529C2×C42×C61C2311yescharacteristic
530C2×C42×C61C2311yescharacteristic
531C2×C42×C61C2311yescharacteristic
532C24×C61—24no—
533C24×C61—24no—
534C24×C61—42no—
535C24×C61C2411yescharacteristic
536C24×C61C2411yescharacteristic
537C24×C61C2414yes—
538C24×C61C2411yescharacteristic
539C24×C61C2411yescharacteristic
540C23×D61C2411yescharacteristic
541C2×Q8×C61—42no—
542C2×Q8×C61C2414yes—
543C2×D4×C61—24no—
544C2×D4×C61—24no—
545C2×D4×C61—42no—
546C2×D4×C61C2414yes—
547C2×D4×C61C2414yes—
548C2×D4×C61C2414yes—
549C22×C4×C61—24no—
550C22×C4×C61—24no—
551C22×C4×C61—42no—
552C22×C4×C61—42no—
553C22×C4×C61—42no—
554C22×C4×C61C2411yescharacteristic
555C22×C4×C61C2411yescharacteristic
556C22×C4×C61C2411yescharacteristic
557C22×C4×C61C2411yescharacteristic
558C22×C4×C61C2411yescharacteristic
559C22×C4×C61C2414yes—
560C22×C4×C61C2411yescharacteristic
561C22×C4×C61C2411yescharacteristic
562C22×C4×C61C2411yescharacteristic
563C22×C4×C61C2411yescharacteristic
564C22×C4×C61C2411yescharacteristic
565C22×C4×C61C2411yescharacteristic
566C22×C4×C61C2414yes—
567C22×C4×C61C2414yes—
568C22×C4×C61C2414yes—
569C22×C4×C61C2414yes—
570C2×C22⋊D61—24no—
571C2×C22⋊D61—24no—
572C2×C22⋊D61—24no—
573C2×C22⋊D61—42no—
574C2×C22⋊D61C2414yes—
575C2×C22⋊D61C2414yes—
576C2×C22⋊D61C2414yes—
577C2×C22⋊D61C2414yes—
578C22×Dic61—24no—
579C22×Dic61—24no—
580C22×Dic61—24no—
581C22×Dic61—24no—
582C22×Dic61—24no—
583C22×Dic61—24no—
584C22×Dic61—24no—
585C22×Dic61—232no—
586C22×Dic61—24no—
587C22×Dic61—42no—
588C22×Dic61—42no—
589C22×Dic61—42no—
590C22×Dic61#4118yes—
591C22×Dic61C2411yescharacteristic
592C22×Dic61C2411yescharacteristic
593C22×Dic61C2411yescharacteristic
594C22×Dic61C2414yes—
595C22×Dic61C2411yescharacteristic
596C22×Dic61C2414yes—
597C22×Dic61C2414yes—
598C22×Dic61C2414yes—
599C22×Dic61C2414yes—
600C22×Dic61C2411yescharacteristic
601C22×Dic61C2411yescharacteristic
602C22×Dic61C2411yescharacteristic
603C22×Dic61C2411yescharacteristic
604C22×Dic61C2411yescharacteristic
605C22×Dic61C2414yes—
606C22×Dic61C2414yes—
607C22×Dic61C2411yescharacteristic
608C22×Dic61C2411yescharacteristic
609C22×Dic61C2414yes—
610C22×Dic61C2411yescharacteristic
611C22×Dic61C2411yescharacteristic
612C22×Dic61C2414yes—
613C22×Dic61C2414yes—
614C22×Dic61C2414yes—
615C22×Dic61C2411yescharacteristic
616C22×Dic61C2411yescharacteristic
617C22×Dic61C2414yes—
618#11758224—232no—
619C2×C4×D61—24no—
620C2×C4×D61—42no—
621C2×C4×D61—42no—
622C2×C4×D61C2414yes—
623C2×C4×D61C2414yes—
624C2×C4×D61C2414yes—
625C2×Dic122—24no—
626C2×Dic122—24no—
627C2×Dic122—24no—
628C2×Dic122—24no—
629C2×Dic122—232no—
630C2×Dic122—24no—
631C2×Dic122—42no—
632C2×Dic122—42no—
633C2×Dic122—42no—
634C2×Dic122C2414yes—
635C2×Dic122C2414yes—
636C2×Dic122C2414yes—
637C2×Dic122C2414yes—
638C2×Dic122C2414yes—
639C2×Dic122C2414yes—
640C2×Dic122C2414yes—
641C2×Dic122C2414yes—
642C4⋊C4×C61C2414yes—
643C4⋊C4×C61C2414yes—
644C4⋊C4×C61C2414yes—
645C4⋊C4×C61C2414yes—
646C4⋊C4×C61C2414yes—
647C4⋊C4×C61C2414yes—
648C4⋊C4×C61C2414yes—
649C4⋊C4×C61C2414yes—
650C22⋊C4×C61C2414yes—
651C22⋊C4×C61C2414yes—
652C22⋊C4×C61C2414yes—
653C22⋊C4×C61C2414yes—
654C22⋊C4×C61C2414yes—
655C22⋊C4×C61C2414yes—
656C22⋊C4×C61C2414yes—
657C22⋊C4×C61C2414yes—
658C22⋊C4×C61C2414yes—
659C22⋊C4×C61C2414yes—
660C22⋊C4×C61C2414yes—
661C22⋊C4×C61C2414yes—
662C22⋊C4×C61C2414yes—
663C22⋊C4×C61C2414yes—
664C42×C61C2414yes—
665C42×C61C2414yes—
666C42×C61C2414yes—
667C22⋊Dic61C2414yes—
668C22⋊Dic61C2414yes—
669C22⋊Dic61C2414yes—
670C22⋊Dic61C2414yes—
671C22⋊Dic61C2414yes—
672C22⋊Dic61C2414yes—
673C22⋊Dic61C2414yes—
674C22⋊Dic61C2414yes—
675C22⋊Dic61C2414yes—
676C22⋊Dic61C2414yes—
677C22⋊Dic61C2414yes—
678C22⋊Dic61C2414yes—
679C22⋊Dic61C2414yes—
680C22⋊Dic61C2414yes—
681C22⋊Dic61C2414yes—
682C22⋊Dic61C2414yes—
683#11758198C2414yes—
684#11758198C2414yes—
685#11758198C2414yes—
686#11758198C2414yes—
687#11758198C2414yes—
688#11758198C2414yes—
689#11758198C2414yes—
690#11758198C2414yes—
691C4⋊Dic61C2414yes—
692C4⋊Dic61C2414yes—
693C4⋊Dic61C2414yes—
694C4⋊Dic61C2414yes—
695C4⋊Dic61C2414yes—
696C4⋊Dic61C2414yes—
697C4⋊Dic61C2414yes—
698C4⋊Dic61C2414yes—
699C4⋊Dic61C2414yes—
700C4⋊Dic61C2414yes—
701C4⋊Dic61C2414yes—
702C4⋊Dic61C2414yes—
703C4⋊Dic61C2414yes—
704C4⋊Dic61C2414yes—
705#11758196C2414yes—
706#11758196C2414yes—
707#11758196C2414yes—
708#11758196C2414yes—
709#11758196C2414yes—
710#11758196C2414yes—
711#11758196C2414yes—
712#11758196C2414yes—
713#11758196C2414yes—
714#11758196C2414yes—
715#11758196C2414yes—
716#11758196C2414yes—
717#11758196C2414yes—
718#11758196C2414yes—
719#11758196C2414yes—
720#11758196C2414yes—
721#11758196C2414yes—
722#11758196C2414yes—
723#11758196C2414yes—
724#11758196C2414yes—
725#11758196C2414yes—
726#11758196C2414yes—
727#11758196C2414yes—
728#11758196C2414yes—
729#11758196C2414yes—
730#11758196C2414yes—
731#11758196C2414yes—
732#11758196C2414yes—
733#11758196C2414yes—
734#11758196C2414yes—
735#11758196C2414yes—
736#11758196C2414yes—
737#11758196C2414yes—
738#11758196C2414yes—
739#11758196C2414yes—
740#11758196C2414yes—
741C4×Dic61C2414yes—
742C4×Dic61C2414yes—
743C4×Dic61C2414yes—
744C4×Dic61C2414yes—
745C4×Dic61C2414yes—
746C4×Dic61C2414yes—
747C4×Dic61C2414yes—
748C4×Dic61C2414yes—
749C4×Dic61C2414yes—
750C4×Dic61C2414yes—
751C4×Dic61C2414yes—
752C4×Dic61C2414yes—
753C4×Dic61C2414yes—
754C4×Dic61C2414yes—
755C4×Dic61C2414yes—
756C4×Dic61C2414yes—
757C4×Dic61C2414yes—
758C4×Dic61C2414yes—
759C4×Dic61C2414yes—
760C23×C61—22no—
761C23×C61—22no—
762C23×C61—22no—
763C23×C61—22no—
764C23×C61—28no—
765C23×C61—22no—
766C23×C61—22no—
767C23×C61—22no—
768C23×C61—28no—
769C23×C61—22no—
770C23×C61—22no—
771C23×C61—22no—
772C23×C61—44no—
773C23×C61—416no—
774C23×C61C2×#4114yes—
775C23×C612−1+414yes—
776C23×C61C2512yes—
777C23×C61C2512yes—
778C23×C61C2512yes—
779C23×C61C2512yes—
780C23×C61C2511yescharacteristic
781C22×D61—22no—
782C22×D61—22no—
783C22×D61—22no—
784C22×D61C2512yes—
785Q8×C61—44no—
786D4×C61—28no—
787D4×C61—28no—
788D4×C61—44no—
789C2×C4×C61—28no—
790C2×C4×C61—22no—
791C2×C4×C61—22no—
792C2×C4×C61—22no—
793C2×C4×C61—28no—
794C2×C4×C61—22no—
795C2×C4×C61—22no—
796C2×C4×C61—22no—
797C2×C4×C61—22no—
798C2×C4×C61—22no—
799C2×C4×C61—22no—
800C2×C4×C61—22no—
801C2×C4×C61—22no—
802C2×C4×C61—44no—
803C2×C4×C61—44no—
804C2×C4×C61—44no—
805C2×C4×C61C2512yes—
806C2×C4×C61C2512yes—
807C2×C4×C61C2512yes—
808C2×C4×C61C2512yes—
809C2×C4×C61C2512yes—
810C2×C4×C61C2512yes—
811C2×C4×C61C2512yes—
812C2×C4×C61C2512yes—
813C2×C4×C61C2512yes—
814C2×C4×C61C2512yes—
815C2×C4×C61C2512yes—
816C22⋊D61—28no—
817C22⋊D61—28no—
818C22⋊D61—28no—
819C22⋊D61—44no—
820C2×Dic61—28no—
821C2×Dic61—22no—
822C2×Dic61—22no—
823C2×Dic61—22no—
824C2×Dic61—28no—
825C2×Dic61—22no—
826C2×Dic61—22no—
827C2×Dic61—28no—
828C2×Dic61—22no—
829C2×Dic61—22no—
830C2×Dic61—22no—
831C2×Dic61—22no—
832C2×Dic61—22no—
833C2×Dic61—22no—
834C2×Dic61—22no—
835C2×Dic61—22no—
836C2×Dic61—28no—
837C2×Dic61—28no—
838C2×Dic61—28no—
839C2×Dic61—28no—
840C2×Dic61—28no—
841C2×Dic61—44no—
842C2×Dic61—44no—
843C2×Dic61—44no—
844C2×Dic61C2×#4114yes—
845C2×Dic61C2×#4114yes—
846C2×Dic61C2×#41116yes—
847C2×Dic61C2512yes—
848C2×Dic61C2512yes—
849C2×Dic61C2512yes—
850C2×Dic61C2512yes—
851C2×Dic61C2512yes—
852C2×Dic61C2512yes—
853C2×Dic61C2512yes—
854C2×Dic61C2512yes—
855C2×Dic61C2512yes—
856C2×Dic61C2512yes—
857C2×Dic61C2512yes—
858C2×Dic61C2512yes—
859C2×Dic61C2512yes—
860C2×Dic61C2512yes—
861C2×Dic61C2512yes—
862C4×D61—28no—
863C4×D61—44no—
864C4×D61—44no—
865Dic122—28no—
866Dic122—28no—
867Dic122—28no—
868Dic122—28no—
869Dic122—28no—
870Dic122—44no—
871Dic122—44no—
872Dic122—44no—
873C2×#3495—611nomaximal, Sylow
874C22×C61—22no—
875C22×C61—22no—
876C22×C61—22no—
877C22×C61—22no—
878C22×C61—28no—
879C22×C61—28no—
880C22×C61—22no—
881C22×C61—22no—
882C22×C61—22no—
883C22×C61—22no—
884C22×C61—22no—
885C22×C61—22no—
886C22×C61—416no—
887C22×C61—44no—
888C22×C61—44no—
889C22×C61C22×#4114yes—
890C22×C61C22×#4112yes—
891C22×C61C2×2−1+414yes—
892C22×C61C2×2−1+412yes—
893C22×C61#58512yes—
894C22×C61C2611yescharacteristic
895C2×D61—22no—
896C2×D61—22no—
897C2×D61—22no—
898C2×D61—44no—
899C4×C61—22no—
900C4×C61—22no—
901C4×C61—22no—
902C4×C61—22no—
903C4×C61—22no—
904C4×C61—22no—
905C4×C61—22no—
906C4×C61—22no—
907C4×C61—22no—
908C4×C61—22no—
909C4×C61—22no—
910Dic61—22no—
911Dic61—22no—
912Dic61—22no—
913Dic61—22no—
914Dic61—22no—
915Dic61—22no—
916Dic61—22no—
917Dic61—22no—
918Dic61—22no—
919Dic61—22no—
920Dic61—22no—
921Dic61—22no—
922Dic61—22no—
923Dic61C22×#4114yes—
924Dic61C22×#4114yes—
925#3495—6132no—
926C2×#556—611no—
927C2×#556—611no—
928C2×#554—611no—
929C2×#554—611no—
930C2×#552—611no—
931C2×#552—611no—
932C2×#552—611no—
933C2×#552—611no—
934C2×#552—611no—
935C2×#552—611no—
936C2×#552—611no—
937C2×#552—611no—
938C2×#551—611no—
939C2×#551—611no—
940C2×#551—611no—
941C2×#551D6111yescharacteristic, complemented
942C2×#544—611no—
943C2×#542—611no—
944C2×#542—611no—
945C2×#541—611no—
946C2×#541—611no—
947C2×#536—611no—
948C2×#533—611no—
949C2×#533—611no—
950C2×#529—611no—
951C2×#529—611no—
952C2×#525—611no—
953C22×C22⋊Q8—611no—
954C2×#520—611no—
955C2×#519—611no—
956C22×#117—611no—
957C2×C61—24no—
958C2×C61—24no—
959C2×C61—42no—
960C2×C61—42no—
961C2×C61#349514yescomplemented
962C2×C61C23×#4111yescharacteristic
963C2×C61C22×2−1+411yescharacteristic
964C2×C61C2×#58511yescharacteristic
965D61—42no—
966C22×#41—611no—
967C23×Q8—611no—
968C24×C4—611no—
969#556—6116no—
970#556—6116no—
971#554—6116no—
972#554—6116no—
973#552—6116no—
974#552—6116no—
975#552—6116no—
976#552—6116no—
977#552—6116no—
978#552—6116no—
979#552—6116no—
980#552—6116no—
981#551—6116no—
982#551—6116no—
983#551—6116no—
984#551C2×D61116yescomplemented
985#544—6116no—
986#542—6116no—
987#542—6116no—
988#541—6116no—
989#541—6116no—
990#536—6116no—
991#533—6116no—
992#533—6116no—
993C2×C4⋊Q8—611no—
994C2×C4⋊Q8—611no—
995C2×C4⋊Q8—611no—
996C2×C4⋊Q8—611no—
997C2×C4⋊Q8—611no—
998C2×C4⋊Q8—611no—
999#529—6116no—
1000#529—6116no—
1001C2×#126—611no—
1002C2×#126—611no—
1003C2×#126—611no—
1004C2×#126—611no—
1005C2×#126—611no—
1006C2×#126—611no—
1007C2×#126—611no—
1008C2×#126—611no—
1009C2×#126—611no—
1010C2×#126—611no—
1011C2×#126—611no—
1012C2×#126—611no—
1013C2×#126—611no—
1014C2×#126—611no—
1015C2×#126C2×D6111yescharacteristic
1016C2×#126C2×D6111yescharacteristic
1017C2×#125—611no—
1018C2×#125—611no—
1019C2×#125—611no—
1020C2×#125—611no—
1021C2×#125—611no—
1022C2×#125—611no—
1023C2×#125—611no—
1024C2×#125—611no—
1025C2×#125—611no—
1026C2×#125—611no—
1027C2×#125—611no—
1028C2×#125—611no—
1029C2×#125—611no—
1030C2×#125—611no—
1031C2×#125—611no—
1032C2×#125—611no—
1033C2×#124—611no—
1034C2×#124—611no—
1035C2×#124—611no—
1036C2×#124—611no—
1037C2×#124—611no—
1038C2×#124C2×D6111yescharacteristic
1039#525—6116no—
1040C2×#123—611no—
1041C2×#123—611no—
1042C2×#123—611no—
1043C2×#123—611no—
1044C2×#123—611no—
1045C2×#123—611no—
1046C2×#123—611no—
1047C2×#123—611no—
1048C2×#123—611no—
1049C2×#123—611no—
1050C2×#123—611no—
1051C2×#123C2×D6111yescharacteristic
1052C2×#123C2×D6111yescharacteristic
1053C2×#123C2×D6111yescharacteristic
1054C2×C22⋊Q8—611no—
1055C2×C22⋊Q8—611no—
1056C2×C22⋊Q8—611no—
1057C2×C22⋊Q8—611no—
1058C2×C22⋊Q8—611no—
1059C2×C22⋊Q8—611no—
1060C2×C22⋊Q8—611no—
1061C2×C22⋊Q8—611no—
1062C2×C22⋊Q8—611no—
1063C2×C22⋊Q8—611no—
1064C2×C22⋊Q8—611no—
1065C2×C22⋊Q8—611no—
1066C2×C22⋊Q8—611no—
1067C2×C22⋊Q8—611no—
1068C2×C22⋊Q8—611no—
1069C2×C22⋊Q8—611no—
1070C2×C22⋊Q8—611no—
1071C2×C22⋊Q8—611no—
1072C2×C22⋊Q8—611no—
1073C2×C22⋊Q8—611no—
1074C2×C22⋊Q8—611no—
1075C2×C22⋊Q8—6116no—
1076C2×C22⋊Q8—611no—
1077C2×C22⋊Q8—611no—
1078C2×C22⋊Q8—611no—
1079C2×C22⋊Q8C2×D6111yescharacteristic
1080C2×C22⋊Q8C2×D6111yescharacteristic
1081C2×#121—611no—
1082C2×#121—611no—
1083C2×#120—611no—
1084C2×#120C2×D6111yescharacteristic
1085#520—6116no—
1086#519—6116no—
1087C2×C4×Q8—611no—
1088C2×C4×Q8—611no—
1089C2×C4×Q8—611no—
1090C2×C4×Q8—611no—
1091C2×C4×Q8—611no—
1092C2×C4×Q8—611no—
1093C2×C4×Q8—611no—
1094C2×C4×Q8—611no—
1095C2×C4×Q8—611no—
1096C2×C4×Q8—611no—
1097C2×C4×Q8—611no—
1098C2×C4×Q8—611no—
1099C2×C4×Q8—611no—
1100C2×C4×Q8—611no—
1101C2×C4×D4—611no—
1102C2×C4×D4—611no—
1103C2×C4×D4—611no—
1104C2×C4×D4—611no—
1105C2×C4×D4—611no—
1106C2×C4×D4—611no—
1107C2×C4×D4—611no—
1108C2×C4×D4—611no—
1109C2×C4×D4—611no—
1110C2×C4×D4—611no—
1111C2×C4×D4—611no—
1112C2×C4×D4—611no—
1113C2×C4×D4C2×D6111yescharacteristic
1114C2×C4×D4C2×D6111yescharacteristic
1115C2×#117—611no—
1116C2×#117—611no—
1117C2×#117—611no—
1118C2×#117—611no—
1119C2×#117—611no—
1120C2×#117—611no—
1121C2×#117—611no—
1122C2×#117—611no—
1123C2×#117—611no—
1124C2×#117—611no—
1125C2×#117—611no—
1126C2×#117—611no—
1127C2×#117—611no—
1128C2×#117—611no—
1129C2×#117—611no—
1130C2×#117—611no—
1131C2×#117—611no—
1132C2×#117—6116no—
1133C2×#117—611no—
1134C2×#117—611no—
1135C2×#117—611no—
1136C2×#117—611no—
1137C2×#117C2×D6111yescharacteristic
1138C2×#117C2×D6111yescharacteristic
1139C22×C4⋊C4—611no—
1140C22×C4⋊C4—611no—
1141C22×C4⋊C4—611no—
1142C22×C4⋊C4—611no—
1143C22×C4⋊C4—611no—
1144C22×C4⋊C4—611no—
1145C22×C4⋊C4—611no—
1146C22×C22⋊C4—611no—
1147C22×C22⋊C4—611no—
1148C22×C22⋊C4C2×D6111yescharacteristic
1149C22×C22⋊C4C2×D6111yescharacteristic
1150C22×C42—611no—
1151C22×C42—611no—
1152C61C2×#349511yescharacteristic, complemented, Sylow
1153C25C22×D6111yescharacteristic
1154C2×#41—618no—
1155C2×#41—1228no—
1156C22×Q8—611no—
1157C22×Q8—611no—
1158C22×Q8—611no—
1159C22×Q8—611no—
1160C22×Q8—611no—
1161C22×Q8—618no—
1162C22×Q8—611no—
1163C22×Q8—611no—
1164C22×Q8—611no—
1165C22×Q8—1228no—
1166C22×Q8C22×D6111yescharacteristic
1167C22×D4—611no—
1168C22×D4—611no—
1169C22×D4—611no—
1170C22×D4—611no—
1171C22×D4C22×D6111yescharacteristic
1172C22×D4C22×D6111yescharacteristic
1173C22×D4C22×D6111yescharacteristic
1174C23×C4—611no—
1175C23×C4—611no—
1176C23×C4—611no—
1177C23×C4—611no—
1178C23×C4—611no—
1179C23×C4—611no—
1180C23×C4—611no—
1181C23×C4—611no—
1182C23×C4—618no—
1183C23×C4—611no—
1184C23×C4—611no—
1185C23×C4—611no—
1186C23×C4—611no—
1187C23×C4—611no—
1188C23×C4—611no—
1189C23×C4—611no—
1190C23×C4—1228no—
1191C23×C4C22×D6111yescharacteristic
1192C23×C4C22×D6111yescharacteristic
1193C23×C4C22×D6111yescharacteristic
1194C23×C4C22×D6111yescharacteristic
1195C23×C4C22×D6111yescharacteristic
1196C4⋊Q8—618no—
1197C4⋊Q8—618no—
1198C4⋊Q8—618no—
1199C4⋊Q8—618no—
1200C4⋊Q8—618no—
1201C4⋊Q8—618no—
1202#126—618no—
1203#126—618no—
1204#126—618no—
1205#126—618no—
1206#126—618no—
1207#126—618no—
1208#126—618no—
1209#126—618no—
1210#126—618no—
1211#126—618no—
1212#126—618no—
1213#126—618no—
1214#126—618no—
1215#126—618no—
1216#126C22×D6118yes—
1217#126C22×D6118yes—
1218#125—618no—
1219#125—618no—
1220#125—618no—
1221#125—618no—
1222#125—618no—
1223#125—618no—
1224#125—618no—
1225#125—618no—
1226#125—618no—
1227#125—618no—
1228#125—618no—
1229#125—618no—
1230#125—618no—
1231#125—618no—
1232#125—618no—
1233#125—618no—
1234#124—618no—
1235#124—618no—
1236#124—618no—
1237#124—618no—
1238#124—618no—
1239#124C22×D6118yes—
1240#123—618no—
1241#123—618no—
1242#123—618no—
1243#123—618no—
1244#123—618no—
1245#123—618no—
1246#123—618no—
1247#123—618no—
1248#123—618no—
1249#123—618no—
1250#123—618no—
1251#123C22×D6118yes—
1252#123C22×D6118yes—
1253#123C22×D6118yes—
1254C22⋊Q8—618no—
1255C22⋊Q8—618no—
1256C22⋊Q8—618no—
1257C22⋊Q8—618no—
1258C22⋊Q8—618no—
1259C22⋊Q8—618no—
1260C22⋊Q8—618no—
1261C22⋊Q8—618no—
1262C22⋊Q8—618no—
1263C22⋊Q8—618no—
1264C22⋊Q8—618no—
1265C22⋊Q8—618no—
1266C22⋊Q8—618no—
1267C22⋊Q8—618no—
1268C22⋊Q8—618no—
1269C22⋊Q8—618no—
1270C22⋊Q8—618no—
1271C22⋊Q8—618no—
1272C22⋊Q8—618no—
1273C22⋊Q8—618no—
1274C22⋊Q8—618no—
1275C22⋊Q8—618no—
1276C22⋊Q8—618no—
1277C22⋊Q8—618no—
1278C22⋊Q8C22×D6118yes—
1279C22⋊Q8C22×D6118yes—
1280#121—618no—
1281#121—618no—
1282#120—618no—
1283#120C22×D6118yes—
1284C4×Q8—618no—
1285C4×Q8—618no—
1286C4×Q8—618no—
1287C4×Q8—618no—
1288C4×Q8—618no—
1289C4×Q8—618no—
1290C4×Q8—618no—
1291C4×Q8—618no—
1292C4×Q8—618no—
1293C4×Q8—618no—
1294C4×Q8—618no—
1295C4×Q8—618no—
1296C4×Q8—618no—
1297C4×Q8—618no—
1298C4×D4—618no—
1299C4×D4—618no—
1300C4×D4—618no—
1301C4×D4—618no—
1302C4×D4—618no—
1303C4×D4—618no—
1304C4×D4—618no—
1305C4×D4—618no—
1306C4×D4—618no—
1307C4×D4—618no—
1308C4×D4—618no—
1309C4×D4—618no—
1310C4×D4C22×D6118yes—
1311C4×D4C22×D6118yes—
1312#117—618no—
1313#117—618no—
1314#117—618no—
1315#117—618no—
1316#117—618no—
1317#117—618no—
1318#117—618no—
1319#117—618no—
1320#117—618no—
1321#117—618no—
1322#117—618no—
1323#117—618no—
1324#117—618no—
1325#117—618no—
1326#117—618no—
1327#117—618no—
1328#117—618no—
1329#117—618no—
1330#117—618no—
1331#117—618no—
1332#117—618no—
1333#117C22×D6118yes—
1334#117C22×D6118yes—
1335C2×C4⋊C4—611no—
1336C2×C4⋊C4—611no—
1337C2×C4⋊C4—611no—
1338C2×C4⋊C4—611no—
1339C2×C4⋊C4—611no—
1340C2×C4⋊C4—611no—
1341C2×C4⋊C4—611no—
1342C2×C4⋊C4—611no—
1343C2×C4⋊C4—611no—
1344C2×C4⋊C4—611no—
1345C2×C4⋊C4—618no—
1346C2×C4⋊C4—618no—
1347C2×C4⋊C4—611no—
1348C2×C4⋊C4—611no—
1349C2×C4⋊C4—611no—
1350C2×C4⋊C4—611no—
1351C2×C4⋊C4—611no—
1352C2×C4⋊C4—611no—
1353C2×C4⋊C4—611no—
1354C2×C4⋊C4—611no—
1355C2×C4⋊C4—611no—
1356C2×C4⋊C4—618no—
1357C2×C4⋊C4—618no—
1358C2×C4⋊C4—611no—
1359C2×C4⋊C4—611no—
1360C2×C4⋊C4—611no—
1361C2×C4⋊C4—611no—
1362C2×C4⋊C4—618no—
1363C2×C4⋊C4—618no—
1364C2×C4⋊C4—611no—
1365C2×C4⋊C4—611no—
1366C2×C4⋊C4—611no—
1367C2×C4⋊C4—611no—
1368C2×C4⋊C4—611no—
1369C2×C4⋊C4—611no—
1370C2×C4⋊C4—611no—
1371C2×C4⋊C4—611no—
1372C2×C4⋊C4—611no—
1373C2×C4⋊C4—611no—
1374C2×C4⋊C4—611no—
1375C2×C4⋊C4—611no—
1376C2×C4⋊C4—611no—
1377C2×C4⋊C4—611no—
1378C2×C4⋊C4—611no—
1379C2×C4⋊C4—611no—
1380C2×C4⋊C4—611no—
1381C2×C4⋊C4—611no—
1382C2×C4⋊C4—611no—
1383C2×C4⋊C4—611no—
1384C2×C4⋊C4—611no—
1385C2×C4⋊C4—611no—
1386C2×C4⋊C4—611no—
1387C2×C4⋊C4—611no—
1388C2×C4⋊C4—611no—
1389C2×C4⋊C4—611no—
1390C2×C4⋊C4—611no—
1391C2×C4⋊C4—618no—
1392C2×C4⋊C4C22×D6111yescharacteristic
1393C2×C4⋊C4C22×D6111yescharacteristic
1394C2×C4⋊C4C22×D6111yescharacteristic
1395C2×C4⋊C4C22×D6111yescharacteristic
1396C2×C4⋊C4C22×D6111yescharacteristic
1397C2×C4⋊C4C22×D6111yescharacteristic
1398C2×C4⋊C4C22×D6111yescharacteristic
1399C2×C4⋊C4C22×D6111yescharacteristic
1400C2×C22⋊C4—611no—
1401C2×C22⋊C4—611no—
1402C2×C22⋊C4—611no—
1403C2×C22⋊C4—611no—
1404C2×C22⋊C4—618no—
1405C2×C22⋊C4—611no—
1406C2×C22⋊C4—611no—
1407C2×C22⋊C4—611no—
1408C2×C22⋊C4—611no—
1409C2×C22⋊C4—618no—
1410C2×C22⋊C4—611no—
1411C2×C22⋊C4—611no—
1412C2×C22⋊C4—611no—
1413C2×C22⋊C4—611no—
1414C2×C22⋊C4—611no—
1415C2×C22⋊C4—611no—
1416C2×C22⋊C4—611no—
1417C2×C22⋊C4—611no—
1418C2×C22⋊C4—611no—
1419C2×C22⋊C4—611no—
1420C2×C22⋊C4—611no—
1421C2×C22⋊C4—611no—
1422C2×C22⋊C4—611no—
1423C2×C22⋊C4—611no—
1424C2×C22⋊C4—611no—
1425C2×C22⋊C4—611no—
1426C2×C22⋊C4C22×D6111yescharacteristic
1427C2×C22⋊C4C22×D6111yescharacteristic
1428C2×C22⋊C4C22×D6111yescharacteristic
1429C2×C22⋊C4C22×D6111yescharacteristic
1430C2×C22⋊C4C22×D6118yes—
1431C2×C22⋊C4C22×D6111yescharacteristic
1432C2×C22⋊C4C22×D6111yescharacteristic
1433C2×C22⋊C4C22×D6111yescharacteristic
1434C2×C22⋊C4C22×D6111yescharacteristic
1435C2×C22⋊C4C22×D6118yes—
1436C2×C22⋊C4C22×D6111yescharacteristic
1437C2×C22⋊C4C22×D6111yescharacteristic
1438C2×C22⋊C4C22×D6111yescharacteristic
1439C2×C22⋊C4C22×D6111yescharacteristic
1440C2×C22⋊C4C22×D6111yescharacteristic
1441C2×C22⋊C4C22×D6111yescharacteristic
1442C2×C42—611no—
1443C2×C42—611no—
1444C2×C42—611no—
1445C2×C42—611no—
1446C2×C42—611no—
1447C2×C42—611no—
1448C2×C42—611no—
1449C2×C42—611no—
1450C2×C42—611no—
1451C2×C42—611no—
1452C2×C42—611no—
1453C2×C42—611no—
1454C2×C42—611no—
1455C2×C42—611no—
1456C2×C42—611no—
1457C2×C42—611no—
1458C2×C42—611no—
1459C2×C42—618no—
1460C2×C42—618no—
1461C2×C42—611no—
1462C2×C42—611no—
1463C2×C42C22×D6111yescharacteristic
1464C2×C42C22×D6111yescharacteristic
1465C2×C42C22×D6111yescharacteristic
1466C24—24no—
1467C24—24no—
1468C24—42no—
1469C24—611no—
1470C24C23×D6111yescharacteristic
1471C24C23×D6111yescharacteristic
1472C24C23×D6114yes—
1473C24C23×D6111yescharacteristic
1474C24C23×D6111yescharacteristic
1475#41—12232no—
1476C2×Q8—42no—
1477C2×Q8—614no—
1478C2×Q8—614no—
1479C2×Q8—614no—
1480C2×Q8—614no—
1481C2×Q8—614no—
1482C2×Q8—614no—
1483C2×Q8—614no—
1484C2×Q8—614no—
1485C2×Q8—1224no—
1486C2×Q8—1224no—
1487C2×Q8—1224no—
1488C2×Q8—1224no—
1489C2×Q8—12232no—
1490C2×Q8—1224no—
1491C2×Q8—2442no—
1492C2×Q8—2442no—
1493C2×Q8—2442no—
1494C2×Q8C23×D6114yes—
1495C2×D4—24no—
1496C2×D4—24no—
1497C2×D4—42no—
1498C2×D4—614no—
1499C2×D4—614no—
1500C2×D4—614no—
1501C2×D4—614no—
1502C2×D4—1224no—
1503C2×D4—1224no—
1504C2×D4—1224no—
1505C2×D4—2442no—
1506C2×D4C23×D6114yes—
1507C2×D4C23×D6114yes—
1508C2×D4C23×D6114yes—
1509C22×C4—24no—
1510C22×C4—24no—
1511C22×C4—42no—
1512C22×C4—42no—
1513C22×C4—42no—
1514C22×C4—618no—
1515C22×C4—614no—
1516C22×C4—611no—
1517C22×C4—611no—
1518C22×C4—614no—
1519C22×C4—614no—
1520C22×C4—614no—
1521C22×C4—614no—
1522C22×C4—614no—
1523C22×C4—614no—
1524C22×C4—614no—
1525C22×C4—614no—
1526C22×C4—611no—
1527C22×C4—611no—
1528C22×C4—611no—
1529C22×C4—611no—
1530C22×C4—611no—
1531C22×C4—611no—
1532C22×C4—611no—
1533C22×C4—611no—
1534C22×C4—611no—
1535C22×C4—611no—
1536C22×C4—611no—
1537C22×C4—611no—
1538C22×C4—611no—
1539C22×C4—614no—
1540C22×C4—614no—
1541C22×C4—614no—
1542C22×C4—614no—
1543C22×C4—614no—
1544C22×C4—614no—
1545C22×C4—1224no—
1546C22×C4—1224no—
1547C22×C4—1224no—
1548C22×C4—1224no—
1549C22×C4—1224no—
1550C22×C4—12232no—
1551C22×C4—1224no—
1552C22×C4—1224no—
1553C22×C4—1224no—
1554C22×C4—1224no—
1555C22×C4—2442no—
1556C22×C4—2442no—
1557C22×C4—2442no—
1558C22×C4—2442no—
1559C22×C4—2442no—
1560C22×C4C23×D6114yes—
1561C22×C4C23×D6114yes—
1562C22×C4C23×D6111yescharacteristic
1563C22×C4C23×D6111yescharacteristic
1564C22×C4C23×D6111yescharacteristic
1565C22×C4C23×D6111yescharacteristic
1566C22×C4C23×D6111yescharacteristic
1567C22×C4C23×D6111yescharacteristic
1568C22×C4C23×D6111yescharacteristic
1569C22×C4C23×D6111yescharacteristic
1570C22×C4C23×D6111yescharacteristic
1571C22×C4C23×D6111yescharacteristic
1572C22×C4C23×D6111yescharacteristic
1573C22×C4C23×D6114yes—
1574C22×C4C23×D6114yes—
1575C22×C4C23×D6114yes—
1576C4⋊C4—614no—
1577C4⋊C4—614no—
1578C4⋊C4—614no—
1579C4⋊C4—614no—
1580C4⋊C4—614no—
1581C4⋊C4—614no—
1582C4⋊C4—614no—
1583C4⋊C4—614no—
1584C4⋊C4—614no—
1585C4⋊C4—614no—
1586C4⋊C4—614no—
1587C4⋊C4—614no—
1588C4⋊C4—614no—
1589C4⋊C4—614no—
1590C4⋊C4—614no—
1591C4⋊C4—614no—
1592C4⋊C4—614no—
1593C4⋊C4—614no—
1594C4⋊C4—614no—
1595C4⋊C4—614no—
1596C4⋊C4—614no—
1597C4⋊C4—614no—
1598C4⋊C4—614no—
1599C4⋊C4—614no—
1600C4⋊C4—614no—
1601C4⋊C4—614no—
1602C4⋊C4—614no—
1603C4⋊C4—614no—
1604C4⋊C4—614no—
1605C4⋊C4—614no—
1606C4⋊C4—614no—
1607C4⋊C4—614no—
1608C4⋊C4—614no—
1609C4⋊C4—614no—
1610C4⋊C4—614no—
1611C4⋊C4—614no—
1612C4⋊C4—614no—
1613C4⋊C4—614no—
1614C4⋊C4—614no—
1615C4⋊C4—614no—
1616C4⋊C4—614no—
1617C4⋊C4—614no—
1618C4⋊C4—614no—
1619C4⋊C4—614no—
1620C4⋊C4—614no—
1621C4⋊C4—614no—
1622C4⋊C4—614no—
1623C4⋊C4—614no—
1624C4⋊C4—614no—
1625C4⋊C4—614no—
1626C4⋊C4C23×D6114yes—
1627C4⋊C4C23×D6114yes—
1628C4⋊C4C23×D6114yes—
1629C4⋊C4C23×D6114yes—
1630C4⋊C4C23×D6114yes—
1631C4⋊C4C23×D6114yes—
1632C4⋊C4C23×D6114yes—
1633C4⋊C4C23×D6114yes—
1634C22⋊C4—614no—
1635C22⋊C4—614no—
1636C22⋊C4—614no—
1637C22⋊C4—614no—
1638C22⋊C4—614no—
1639C22⋊C4—614no—
1640C22⋊C4—614no—
1641C22⋊C4—614no—
1642C22⋊C4—614no—
1643C22⋊C4—614no—
1644C22⋊C4—614no—
1645C22⋊C4—614no—
1646C22⋊C4—614no—
1647C22⋊C4—614no—
1648C22⋊C4—614no—
1649C22⋊C4—614no—
1650C22⋊C4—614no—
1651C22⋊C4—614no—
1652C22⋊C4—614no—
1653C22⋊C4—614no—
1654C22⋊C4—614no—
1655C22⋊C4—614no—
1656C22⋊C4—614no—
1657C22⋊C4—614no—
1658C22⋊C4C23×D6114yes—
1659C22⋊C4C23×D6114yes—
1660C22⋊C4C23×D6114yes—
1661C22⋊C4C23×D6114yes—
1662C22⋊C4C23×D6114yes—
1663C22⋊C4C23×D6114yes—
1664C22⋊C4C23×D6114yes—
1665C22⋊C4C23×D6114yes—
1666C22⋊C4C23×D6114yes—
1667C22⋊C4C23×D6114yes—
1668C22⋊C4C23×D6114yes—
1669C22⋊C4C23×D6114yes—
1670C22⋊C4C23×D6114yes—
1671C22⋊C4C23×D6114yes—
1672C42—614no—
1673C42—614no—
1674C42—614no—
1675C42—614no—
1676C42—614no—
1677C42—614no—
1678C42—614no—
1679C42—614no—
1680C42—614no—
1681C42—614no—
1682C42—614no—
1683C42—614no—
1684C42—614no—
1685C42—614no—
1686C42—614no—
1687C42—614no—
1688C42—614no—
1689C42—614no—
1690C42—614no—
1691C42C23×D6114yes—
1692C42C23×D6114yes—
1693C42C23×D6114yes—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—28no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—28no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—44no—
1707C23—416no—
1708C23—612no—
1709C23—1222no—
1710C23—1222no—
1711C23—1222no—
1712C23#41×D6114yes—
1713C23#1451982414yes—
1714C23C24×D6112yes—
1715C23C24×D6112yes—
1716C23C24×D6112yes—
1717C23C24×D6112yes—
1718C23C24×D6111yescharacteristic
1719Q8—44no—
1720Q8—1228no—
1721Q8—1228no—
1722Q8—1228no—
1723Q8—1228no—
1724Q8—1228no—
1725Q8—2444no—
1726Q8—2444no—
1727Q8—2444no—
1728D4—28no—
1729D4—28no—
1730D4—44no—
1731D4—1228no—
1732D4—1228no—
1733D4—1228no—
1734D4—2444no—
1735C2×C4—28no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—28no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—614no—
1752C2×C4—614no—
1753C2×C4—6116no—
1754C2×C4—612no—
1755C2×C4—612no—
1756C2×C4—612no—
1757C2×C4—612no—
1758C2×C4—612no—
1759C2×C4—612no—
1760C2×C4—612no—
1761C2×C4—612no—
1762C2×C4—612no—
1763C2×C4—612no—
1764C2×C4—612no—
1765C2×C4—612no—
1766C2×C4—612no—
1767C2×C4—612no—
1768C2×C4—612no—
1769C2×C4—1228no—
1770C2×C4—1228no—
1771C2×C4—1228no—
1772C2×C4—1228no—
1773C2×C4—1228no—
1774C2×C4—1228no—
1775C2×C4—1228no—
1776C2×C4—1222no—
1777C2×C4—1222no—
1778C2×C4—1222no—
1779C2×C4—1228no—
1780C2×C4—1222no—
1781C2×C4—1222no—
1782C2×C4—1228no—
1783C2×C4—1222no—
1784C2×C4—1222no—
1785C2×C4—1222no—
1786C2×C4—1222no—
1787C2×C4—1222no—
1788C2×C4—1222no—
1789C2×C4—1222no—
1790C2×C4—1222no—
1791C2×C4—2444no—
1792C2×C4—2444no—
1793C2×C4—2444no—
1794C2×C4—2444no—
1795C2×C4—2444no—
1796C2×C4C24×D6112yes—
1797C2×C4C24×D6112yes—
1798C2×C4C24×D6112yes—
1799C2×C4C24×D6112yes—
1800C2×C4C24×D6112yes—
1801C2×C4C24×D6112yes—
1802C2×C4C24×D6112yes—
1803C2×C4C24×D6112yes—
1804C2×C4C24×D6112yes—
1805C2×C4C24×D6112yes—
1806C2×C4C24×D6112yes—
1807C22—28no—
1808C22—28no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—416no—
1820C22—44no—
1821C22—44no—
1822C22—1222no—
1823C22—1222no—
1824C22—1222no—
1825C22—2444no—
1826C22C2×#41×D6114yes—
1827C22C2×#41×D6112yes—
1828C22C2×#1451982414yes—
1829C22C2×#1451982412yes—
1830C22#1684059712yes—
1831C22C25×D6111yescharacteristic
1832C4—22no—
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—22no—
1841C4—22no—
1842C4—22no—
1843C4—614no—
1844C4—614no—
1845C4—1222no—
1846C4—1222no—
1847C4—1222no—
1848C4—1222no—
1849C4—1222no—
1850C4—1222no—
1851C4—1222no—
1852C4—1222no—
1853C4—1222no—
1854C4—1222no—
1855C4—1222no—
1856C4—1222no—
1857C4—1222no—
1858C2—24no—
1859C2—24no—
1860C2—42no—
1861C2—42no—
1862C2—2442no—
1863C2#2145955814yesdirect product factor
1864C2C22×#41×D6111yescharacteristic
1865C2C22×#1451982411yescharacteristic
1866C2C2×#1684059711yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#551C2
socleC23×C61C25
prime radicalC2×#16840268C2
hypercenterC2×#551D61
hypocenterC61C2×#3495
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #21459558C2direct (N × H)
2. C2×#16840481C2semidirect
3. C2×#16840479C2semidirect
4. C2×#16840471C2semidirect
5. C2×#16840466C2semidirect
6. C2×#16840454C2semidirect
7. C2×#16840452C2semidirect
8. C2×#16840449C2semidirect
9. C2×#16840449C2semidirect
10. C2×#16840449C2semidirect
11. C2×#16840448C2semidirect
12. C2×#16840445C2semidirect
13. C2×#16840445C2semidirect
14. C2×#16840443C2semidirect
15. C2×#16840438C2semidirect
16. C2×#16840438C2semidirect
17. C2×#16840391C2semidirect
18. C2×#16840380C2semidirect
19. C2×#16840376C2semidirect
20. C2×#16840369C2semidirect
21. C2×#16840369C2semidirect
22. C2×#16840334C2semidirect
23. C2×#16840315C2semidirect
24. C2×#16840314C2semidirect
25. C2×#16840292C2semidirect
26. C2×#16840289C2semidirect
28. C22×#14519754C2semidirect
29. C2×#16840241C2semidirect
30. C2×#16840239C2semidirect
31. C22×#14519733C2semidirect
32. C2×C61×#551C2semidirect
36. #16840481C22semidirect
37. #16840479C22semidirect
38. #16840471C22semidirect
39. #16840466C22semidirect
40. #16840454C22semidirect
41. #16840452C22semidirect
42. #16840449C22semidirect
43. #16840449C22semidirect
44. #16840449C22semidirect
45. #16840448C22semidirect
46. #16840445C22semidirect
47. #16840445C22semidirect
48. #16840443C22semidirect
49. #16840438C22semidirect
50. #16840438C22semidirect
51. #16840391C22semidirect
52. #16840380C22semidirect
53. #16840376C22semidirect
54. #16840369C22semidirect
55. #16840369C22semidirect
56. #16840334C22semidirect
57. #16840315C22semidirect
58. #16840314C22semidirect
59. C2×#14519776C22semidirect
60. C2×#14519776C22semidirect
61. C2×#14519776C22semidirect
62. C2×#14519776C22semidirect
63. C2×#14519775C22semidirect
64. C2×#14519775C22semidirect
65. #16840292C22semidirect
66. #16840289C22semidirect
67. C2×#14519772C22semidirect
68. C2×#14519772C22semidirect
69. C2×#14519772C22semidirect
70. C2×#14519771C22semidirect
77. C2×#14519770C22semidirect
78. C2×#14519770C22semidirect
79. C2×#14519770C22semidirect
80. C2×#14519770C22semidirect
81. C2×#14519769C22semidirect
82. C2×#14519769C22semidirect
83. C2×#14519768C22semidirect
84. C2×#14519768C22semidirect
85. C2×#14519768C22semidirect
86. C2×#14519768C22semidirect
87. C2×#14519767C22semidirect
88. C2×#14519767C22semidirect
89. C2×#14519767C22semidirect
90. C2×#14519767C22semidirect
91. C2×#14519767C22semidirect
92. C2×#14519767C22semidirect
93. C2×#14519767C22semidirect
94. C2×#14519767C22semidirect
95. C2×#14519767C22semidirect
96. C2×#14519767C22semidirect
100. C2×#14519763C22semidirect
101. C2×#14519763C22semidirect
116. C2×#14519756C22semidirect
117. C2×#14519755C22semidirect
118. C2×#14519755C22semidirect
119. C2×#14519755C22semidirect
134. C2×#14519754C22semidirect
135. C2×#14519754C22semidirect
136. C2×#14519754C22semidirect
137. C2×#14519754C22semidirect
138. C2×#14519753C22semidirect
142. #16840241C22semidirect
143. #16840239C22semidirect
144. C2×Q8×Dic61C22semidirect
145. C2×C4×Dic122C22semidirect
146. C2×C4×Dic122C22semidirect
147. C2×C4×Dic122C22semidirect
148. C2×C4×Dic122C22semidirect
149. C2×C4×Dic122C22semidirect
150. C2×C4×Dic122C22semidirect
151. C2×C4×Dic122C22semidirect
152. C2×#14519742C22semidirect
153. C2×#14519742C22semidirect
154. C2×#14519742C22semidirect
155. C2×#14519742C22semidirect
156. C2×#14519742C22semidirect
157. C2×#14519742C22semidirect
164. C2×C4×C22⋊D61C22semidirect
169. C2×#14519737C22semidirect
172. C2×#14519736C22semidirect
173. C2×#14519735C22semidirect
174. C2×#14519734C22semidirect
175. C2×#14519734C22semidirect
189. C2×#14519733C22semidirect
190. C2×#14519733C22semidirect
191. C2×#14519733C22semidirect
197. C22×#11758196C22semidirect
198. C2×C4⋊C4×D61C22semidirect
203. C61×#551C22semidirect
252. #14519776C23semidirect
253. #14519776C23semidirect
254. #14519776C23semidirect
255. #14519776C23semidirect
256. #14519775C23semidirect
257. #14519775C23semidirect
258. #14519772C23semidirect
259. #14519772C23semidirect
260. #14519772C23semidirect
261. #14519771C23semidirect
268. #14519770C23semidirect
269. #14519770C23semidirect
270. #14519770C23semidirect
271. #14519770C23semidirect
272. #14519769C23semidirect
273. #14519769C23semidirect
274. #14519768C23semidirect
275. #14519768C23semidirect
276. #14519768C23semidirect
277. #14519768C23semidirect
278. #14519767C23semidirect
279. #14519767C23semidirect
280. #14519767C23semidirect
281. #14519767C23semidirect
282. #14519767C23semidirect
283. #14519767C23semidirect
284. #14519767C23semidirect
285. #14519767C23semidirect
286. #14519767C23semidirect
287. #14519767C23semidirect
291. #14519763C23semidirect
292. #14519763C23semidirect
306. #14519756C23semidirect
307. #14519755C23semidirect
308. #14519755C23semidirect
309. #14519755C23semidirect
324. #14519754C23semidirect
325. #14519754C23semidirect
326. #14519754C23semidirect
327. #14519753C23semidirect
331. Q8×Dic61C23semidirect
332. C4×Dic122C23semidirect
333. C4×Dic122C23semidirect
334. C4×Dic122C23semidirect
335. C4×Dic122C23semidirect
336. C4×Dic122C23semidirect
337. C4×Dic122C23semidirect
338. C4×Dic122C23semidirect
339. #14519742C23semidirect
340. #14519742C23semidirect
341. #14519742C23semidirect
342. #14519742C23semidirect
343. #14519742C23semidirect
344. #14519742C23semidirect
351. C4×C22⋊D61C23semidirect
356. #14519737C23semidirect
359. #14519736C23semidirect
360. #14519735C23semidirect
361. #14519734C23semidirect
362. #14519734C23semidirect
376. #14519733C23semidirect
377. #14519733C23semidirect
433. C2×#11758196C23semidirect
434. C4⋊C4×D61C23semidirect
941. C2×#551D61semidirect
961. C2×C61#3495semidirect
984. #551C2×D61semidirect
1152. C61C2×#3495semidirect
1863. C2#21459558direct (N × H)

Maximal subgroups

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

subgroupindex
#214595582
C2×#168404812
C2×#168404792
C2×#168404712
C2×#168404662
C2×#168404542
C2×#168404522
C2×#168404492
C2×#168404482
C2×#168404452
C2×#168404432
C2×#168404382
C2×#168403912
C2×#168403802
C2×#168403762
C2×#168403692
C2×#168403342
C2×#168403152
C2×#168403142
C2×#168402922
C2×#168402892
C2×#168402682
C22×#145197542
C2×#168402412
C2×#168402392
C22×#145197332
C2×C61×#5512
C2×#349561