Finite Group Databasebeta

← C2×#21460404 #30587496

Subgroups — C2×#21460404 #30587496

Order 15616.

7354 conjugacy classes of subgroups.

The subgroup lattice has 2028 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460404C2132yesmaximal, direct product factor
2C2×#16840508C211yesmaximal, characteristic, complemented
3C2×#16840502C211yesmaximal, characteristic, complemented
4C2×#16840500C211yesmaximal, characteristic, complemented
5C2×#16840494C211yesmaximal, characteristic, complemented
6C2×#16840483C211yesmaximal, characteristic, complemented
7C2×#16840465C211yesmaximal, characteristic, complemented
8C2×#16840455C211yesmaximal, characteristic, complemented
9C2×#16840439C211yesmaximal, characteristic, complemented
10C2×#16840435C211yesmaximal, characteristic, complemented
11C2×#16840430C211yesmaximal, characteristic, complemented
12C2×#16840422C211yesmaximal, characteristic, complemented
13C2×#16840420C211yesmaximal, characteristic, complemented
14C2×#16840410C211yesmaximal, characteristic, complemented
15C2×#16840404C211yesmaximal, characteristic, complemented
16C2×#16840401C211yesmaximal, characteristic, complemented
17C2×#16840371C211yesmaximal, characteristic, complemented
18C2×#16840365C211yesmaximal, characteristic, complemented
19C2×#16840364C211yesmaximal, characteristic, complemented
20C2×#16840364C211yesmaximal, characteristic, complemented
21C2×#16840361C211yesmaximal, characteristic, complemented
22C2×#16840355C211yesmaximal, characteristic, complemented
23C2×#16840352C211yesmaximal, characteristic, complemented
24C2×#16840349C211yesmaximal, characteristic, complemented
25C2×#16840346C211yesmaximal, characteristic, complemented
26C2×#16840346C211yesmaximal, characteristic, complemented
27C2×#16840335C211yesmaximal, characteristic, complemented
28C2×#16840328C211yesmaximal, characteristic, complemented
29C2×#16840307C211yesmaximal, characteristic, complemented
30C2×#16840298C211yesmaximal, characteristic, complemented
31C2×#16840289C211yesmaximal, characteristic, complemented
32C2×C61×#562C211yesmaximal, characteristic, complemented
33C22×#11758222C2211yescharacteristic
34C22×#11758222C2211yescharacteristic
35C22×#11758224C2211yescharacteristic
36C22×#11758224C2211yescharacteristic, complemented
37C22×Q8×D61C2211yescharacteristic, complemented
38C22×D4×D61C2211yescharacteristic
39#16840508C22116yescomplemented
40#16840502C22116yescomplemented
41#16840500C22116yescomplemented
42#16840494C22116yescomplemented
43#16840483C22116yescomplemented
44#16840465C22116yescomplemented
45#16840455C22116yescomplemented
46#16840439C22116yescomplemented
47#16840435C22116yescomplemented
48#16840430C22116yescomplemented
49#16840422C22116yescomplemented
50#16840420C22116yescomplemented
51#16840410C22116yescomplemented
52#16840404C22116yescomplemented
53#16840401C22116yescomplemented
54#16840371C22116yescomplemented
55#16840365C22116yescomplemented
56#16840364C22116yescomplemented
57#16840364C22116yescomplemented
58#16840361C22116yescomplemented
59#16840355C22116yescomplemented
60#16840352C22116yescomplemented
61#16840349C22116yescomplemented
62#16840346C22116yescomplemented
63#16840346C22116yescomplemented
64#16840335C22116yescomplemented
65#16840328C22116yescomplemented
66#16840307C22116yescomplemented
67C2×#14519776C2211yescharacteristic, complemented
68C2×#14519776C2211yescharacteristic, complemented
69C2×#14519773C2211yescharacteristic
70C2×#14519773C2211yescharacteristic
71C2×#14519773C2211yescharacteristic, complemented
72C2×#14519773C2211yescharacteristic, complemented
73#16840298C22116yescomplemented
74#16840289C22116yescomplemented
75C2×#14519772C2211yescharacteristic
76C2×#14519772C2211yescharacteristic
77C2×#14519772C2211yescharacteristic
78C2×#14519772C2211yescharacteristic
79C2×#14519772C2211yescharacteristic, complemented
80C2×#14519772C2211yescharacteristic, complemented
81C2×#14519772C2211yescharacteristic, complemented
82C2×#14519772C2211yescharacteristic, complemented
83C2×#14519771C2211yescharacteristic
84C2×#14519770C2211yescharacteristic, complemented
85C2×#14519770C2211yescharacteristic, complemented
86C2×#14519770C2211yescharacteristic, complemented
87C2×#14519768C2211yescharacteristic, complemented
88C2×#14519768C2211yescharacteristic, complemented
89C2×#14519767C2211yescharacteristic, complemented
90C2×#14519767C2211yescharacteristic, complemented
91C2×#14519767C2211yescharacteristic, complemented
92C2×#14519766C2211yescharacteristic
93C2×#14519766C2211yescharacteristic
94C2×#14519766C2211yescharacteristic, complemented
95C2×#14519763C2211yescharacteristic
96C2×#14519763C2211yescharacteristic
97C2×#14519763C2211yescharacteristic
98C2×#14519763C2211yescharacteristic
99C2×#14519763C2211yescharacteristic
100C2×#14519763C2211yescharacteristic, complemented
101C2×#14519763C2211yescharacteristic, complemented
102C2×#14519762C2211yescharacteristic
103C2×#14519762C2211yescharacteristic
104C2×#14519762C2211yescharacteristic
105C2×#14519762C2211yescharacteristic, complemented
106C2×#14519762C2211yescharacteristic, complemented
107C2×#14519762C2211yescharacteristic, complemented
108C2×#14519761C2211yescharacteristic
109C2×#14519761C2211yescharacteristic
110C2×#14519761C2211yescharacteristic, complemented
111C2×#14519761C2211yescharacteristic, complemented
112C2×#14519761C2211yescharacteristic, complemented
113C2×#14519761C2211yescharacteristic, complemented
114C2×#14519760C2211yescharacteristic, complemented
115C2×#14519759C2211yescharacteristic, complemented
116C2×#14519759C2211yescharacteristic, complemented
117C2×#14519759C2211yescharacteristic, complemented
118C2×#14519759C2211yescharacteristic, complemented
119C2×#14519759C2211yescharacteristic, complemented
120C2×#14519759C2211yescharacteristic, complemented
121C2×#14519758C2211yescharacteristic
122C2×#14519757C2211yescharacteristic, complemented
123C2×#14519756C2211yescharacteristic, complemented
124C2×#14519755C2211yescharacteristic
125C2×#14519755C2211yescharacteristic
126C2×#14519755C2211yescharacteristic, complemented
127C2×#14519754C2211yescharacteristic, complemented
128C2×#14519754C2211yescharacteristic, complemented
129C2×#14519753C2211yescharacteristic, complemented
130C2×#14519753C2211yescharacteristic, complemented
131C2×#14519753C2211yescharacteristic, complemented
132C2×#14519752C2211yescharacteristic
133C2×#14519752C2211yescharacteristic
134C2×#14519752C2211yescharacteristic
135C2×#14519752C2211yescharacteristic, complemented
136C2×#14519752C2211yescharacteristic, complemented
137C2×#14519751C2211yescharacteristic
138C2×#14519751C2211yescharacteristic
139C2×#14519751C2211yescharacteristic, complemented
140C2×#14519751C2211yescharacteristic, complemented
141C2×#14519750C2211yescharacteristic
142C2×#14519750C2211yescharacteristic
143C2×#14519750C2211yescharacteristic
144C2×#14519750C2211yescharacteristic
145C2×#14519750C2211yescharacteristic, complemented
146C2×#14519750C2211yescharacteristic, complemented
147C2×#14519750C2211yescharacteristic, complemented
148C2×#14519750C2211yescharacteristic, complemented
149C2×#14519749C2211yescharacteristic
150C2×#14519749C2211yescharacteristic
151C2×#14519749C2211yescharacteristic
152C2×#14519749C2211yescharacteristic, complemented
153C2×#14519749C2211yescharacteristic, complemented
154C2×#14519749C2211yescharacteristic, complemented
155C2×#14519749C2211yescharacteristic, complemented
156C2×#14519748C2211yescharacteristic
157C2×#14519748C2211yescharacteristic, complemented
158C2×#14519747C2211yescharacteristic
159C2×#14519747C2211yescharacteristic
160C2×#14519747C2211yescharacteristic
161C2×#14519747C2211yescharacteristic
162C2×#14519745C2211yescharacteristic
163C2×#14519745C2211yescharacteristic
164C2×#14519745C2211yescharacteristic
165C2×#14519745C2211yescharacteristic
166C2×Q8×Dic61C2211yescharacteristic, complemented
167C2×C4×Dic122C2211yescharacteristic, complemented
168C2×#14519742C2211yescharacteristic, complemented
169C2×#14519742C2211yescharacteristic, complemented
170C2×C4×D244C2211yescharacteristic, complemented
171C2×C4×D244C2211yescharacteristic, complemented
172C2×D4×Dic61C2211yescharacteristic, complemented
173C2×D4×Dic61C2211yescharacteristic, complemented
174C2×D4×Dic61C2211yescharacteristic, complemented
175C2×#14519739C2211yescharacteristic
176C2×#14519739C2211yescharacteristic, complemented
177C2×#14519739C2211yescharacteristic, complemented
178C2×C4×C22⋊D61C2211yescharacteristic
179C2×C4×C22⋊D61C2211yescharacteristic, complemented
180C2×C4×C22⋊D61C2211yescharacteristic, complemented
181C2×#14519737C2211yescharacteristic
182C2×#14519737C2211yescharacteristic
183C2×#14519737C2211yescharacteristic, complemented
184C2×#14519737C2211yescharacteristic, complemented
185C2×#14519737C2211yescharacteristic, complemented
186C2×#14519737C2211yescharacteristic, complemented
187C2×#14519737C2211yescharacteristic, complemented
188C2×#14519737C2211yescharacteristic, complemented
189C2×#14519737C2211yescharacteristic, complemented
190C2×#14519736C2211yescharacteristic, complemented
191C2×#14519735C2211yescharacteristic
192C2×#14519735C2211yescharacteristic, complemented
193C2×#14519735C2211yescharacteristic, complemented
194C2×#14519735C2211yescharacteristic, complemented
195C2×#14519733C2211yescharacteristic, complemented
196C22×#11758196C2211yescharacteristic, complemented
197C2×C4⋊C4×D61C2211yescharacteristic, complemented
198C22×#11758198C2211yescharacteristic
199C22×#11758198C2211yescharacteristic
200C2×C22⋊C4×D61C2211yescharacteristic
201C2×C22⋊C4×D61C2211yescharacteristic
202C22×C4×Dic61C2211yescharacteristic, complemented
203C61×#562C22116yescomplemented
204C2×#125×C61C2211yescharacteristic, complemented
205C2×#124×C61C2211yescharacteristic, complemented
206C2×#124×C61C2211yescharacteristic, complemented
207C2×#123×C61C2211yescharacteristic
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#123×C61C2211yescharacteristic, complemented
210C2×#123×C61C2211yescharacteristic, complemented
211C2×C22⋊Q8×C61C2211yescharacteristic, complemented
212C2×C22⋊Q8×C61C2211yescharacteristic, complemented
213C2×C22⋊Q8×C61C2211yescharacteristic, complemented
214C2×C22⋊Q8×C61C2211yescharacteristic, complemented
215C2×#121×C61C2211yescharacteristic
216C2×#121×C61C2211yescharacteristic
217C2×#121×C61C2211yescharacteristic, complemented
218C2×#121×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C2×#11758222—44no—
222C2×#11758222—44no—
223C2×#11758222C2318yes—
224C2×#11758222C2318yes—
225C2×#11758224—44no—
226C2×#11758224—44no—
227C2×#11758224C2318yes—
228C2×#11758224C2318yescomplemented
229C22×Dic122C2311yescharacteristic
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2311yescharacteristic
232C22×Dic122C2311yescharacteristic
233C2×Q8×D61—44no—
234C2×Q8×D61C2318yescomplemented
235C22×D244C2311yescharacteristic
236C22×D244C2311yescharacteristic
237C22×D244C2311yescharacteristic
238C22×D244C2311yescharacteristic
239C22×D244C2311yescharacteristic
240C22×D244C2311yescharacteristic
241C22×D244C2311yescharacteristic
242C22×D244C2311yescharacteristic
243C22×C22⋊D61C2311yescharacteristic
244C22×C22⋊D61C2311yescharacteristic
245C22×C22⋊D61C2311yescharacteristic
246C22×C22⋊D61C2311yescharacteristic
247C22×C22⋊D61C2311yescharacteristic
248C22×C22⋊D61C2311yescharacteristic
249C22×C22⋊D61C2311yescharacteristic
250C22×C22⋊D61C2311yescharacteristic
251C22×C22⋊D61C2311yescharacteristic
252C22×C22⋊D61C2311yescharacteristic
253C22×C22⋊D61C2311yescharacteristic
254C22×C22⋊D61C2311yescharacteristic
255C22×C22⋊D61C2311yescharacteristic
256C22×C22⋊D61C2311yescharacteristic
257C22×C22⋊D61C2311yescharacteristic
258C22×C22⋊D61C2311yescharacteristic
259C2×D4×D61—44no—
260C2×D4×D61C2318yes—
261C23×Dic61C2311yescharacteristic
262C23×Dic61C2311yescharacteristic
263C23×Dic61C2311yescharacteristic
264C23×Dic61C2311yescharacteristic
265C23×Dic61C2311yescharacteristic
266C23×Dic61C2311yescharacteristic
267C22×C4×D61C2311yescharacteristic
268C22×C4×D61C2311yescharacteristic
269C22×C4×D61C2311yescharacteristic
270C22×C4×D61C2311yescharacteristic
271C22×C4×D61C2311yescharacteristic
272C22×C4×D61C2311yescharacteristic
273C22×C4×D61C2311yescharacteristic
274C22×C4×D61C2311yescharacteristic
275C22×C4×D61C2311yescharacteristic
276C22×C4×D61C2311yescharacteristic
277C22×C4×D61C2311yescharacteristic
278#14519776C2318yescomplemented
279#14519776C2318yescomplemented
280#14519773C2318yes—
281#14519773C2318yes—
282#14519773C2318yescomplemented
283#14519773C2318yescomplemented
284#14519772C2318yes—
285#14519772C2318yes—
286#14519772C2318yes—
287#14519772C2318yes—
288#14519772C2318yescomplemented
289#14519772C2318yescomplemented
290#14519772C2318yescomplemented
291#14519772C2318yescomplemented
292#14519771C2318yes—
293#14519770C2318yescomplemented
294#14519770C2318yescomplemented
295#14519770C2318yescomplemented
296#14519768C2318yescomplemented
297#14519768C2318yescomplemented
298#14519767C2318yescomplemented
299#14519767C2318yescomplemented
300#14519767C2318yescomplemented
301#14519766C2318yes—
302#14519766C2318yes—
303#14519766C2318yescomplemented
304#14519763C2318yes—
305#14519763C2318yes—
306#14519763C2318yes—
307#14519763C2318yes—
308#14519763C2318yes—
309#14519763C2318yescomplemented
310#14519763C2318yescomplemented
311#14519762C2318yes—
312#14519762C2318yes—
313#14519762C2318yes—
314#14519762C2318yescomplemented
315#14519762C2318yescomplemented
316#14519762C2318yescomplemented
317#14519761C2318yes—
318#14519761C2318yes—
319#14519761C2318yescomplemented
320#14519761C2318yescomplemented
321#14519761C2318yescomplemented
322#14519761C2318yescomplemented
323#14519760C2318yescomplemented
324#14519759C2318yescomplemented
325#14519759C2318yescomplemented
326#14519759C2318yescomplemented
327#14519759C2318yescomplemented
328#14519759C2318yescomplemented
329#14519759C2318yescomplemented
330#14519758C2318yes—
331#14519757C2318yescomplemented
332#14519756C2318yescomplemented
333#14519755C2318yes—
334#14519755C2318yes—
335#14519755C2318yescomplemented
336#14519754C2318yescomplemented
337#14519754C2318yescomplemented
338#14519753C2318yescomplemented
339#14519753C2318yescomplemented
340#14519753C2318yescomplemented
341#14519752C2318yes—
342#14519752C2318yes—
343#14519752C2318yes—
344#14519752C2318yescomplemented
345#14519752C2318yescomplemented
346#14519751C2318yes—
347#14519751C2318yes—
348#14519751C2318yescomplemented
349#14519751C2318yescomplemented
350#14519750C2318yes—
351#14519750C2318yes—
352#14519750C2318yes—
353#14519750C2318yes—
354#14519750C2318yescomplemented
355#14519750C2318yescomplemented
356#14519750C2318yescomplemented
357#14519750C2318yescomplemented
358#14519749C2318yes—
359#14519749C2318yes—
360#14519749C2318yes—
361#14519749C2318yescomplemented
362#14519749C2318yescomplemented
363#14519749C2318yescomplemented
364#14519749C2318yescomplemented
365#14519748C2318yes—
366#14519748C2318yescomplemented
367#14519747C2318yes—
368#14519747C2318yes—
369#14519747C2318yes—
370#14519747C2318yes—
371#14519745C2318yes—
372#14519745C2318yes—
373#14519745C2318yes—
374#14519745C2318yes—
375Q8×Dic61C2318yescomplemented
376C4×Dic122C2318yescomplemented
377#14519742C2318yescomplemented
378#14519742C2318yescomplemented
379C4×D244C2318yescomplemented
380C4×D244C2318yescomplemented
381D4×Dic61C2318yescomplemented
382D4×Dic61C2318yescomplemented
383D4×Dic61C2318yescomplemented
384#14519739C2318yes—
385#14519739C2318yescomplemented
386#14519739C2318yescomplemented
387C4×C22⋊D61C2318yes—
388C4×C22⋊D61C2318yescomplemented
389C4×C22⋊D61C2318yescomplemented
390#14519737C2318yes—
391#14519737C2318yes—
392#14519737C2318yescomplemented
393#14519737C2318yescomplemented
394#14519737C2318yescomplemented
395#14519737C2318yescomplemented
396#14519737C2318yescomplemented
397#14519737C2318yescomplemented
398#14519737C2318yescomplemented
399#14519736C2318yescomplemented
400#14519735C2318yes—
401#14519735C2318yescomplemented
402#14519735C2318yescomplemented
403#14519735C2318yescomplemented
404#14519733C2318yescomplemented
405C2×C4⋊Dic61C2311yescharacteristic
406C2×C4⋊Dic61C2311yescharacteristic
407C2×C4⋊Dic61C2311yescharacteristic
408C2×C4⋊Dic61C2311yescharacteristic
409C2×C4⋊Dic61C2311yescharacteristic
410C2×C4⋊Dic61C2311yescharacteristic
411C2×C4⋊Dic61C2311yescharacteristic
412C2×C4⋊Dic61C2311yescharacteristic
413C2×C4⋊Dic61C2311yescharacteristic
414C2×C4⋊Dic61C2311yescharacteristic
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×#11758196C2318yescomplemented
432C4⋊C4×D61C2318yescomplemented
433C2×C22⋊Dic61C2311yescharacteristic
434C2×C22⋊Dic61C2311yescharacteristic
435C2×C22⋊Dic61C2311yescharacteristic
436C2×C22⋊Dic61C2311yescharacteristic
437C2×C22⋊Dic61C2311yescharacteristic
438C2×C22⋊Dic61C2311yescharacteristic
439C2×C22⋊Dic61C2311yescharacteristic
440C2×C22⋊Dic61C2311yescharacteristic
441C2×#11758198C2311yescharacteristic
442C2×#11758198C2311yescharacteristic
443C2×#11758198C2311yescharacteristic
444C2×#11758198C2311yescharacteristic
445C2×#11758198C2311yescharacteristic
446C2×#11758198C2311yescharacteristic
447C2×#11758198C2311yescharacteristic
448C2×#11758198C2311yescharacteristic
449C2×#11758198C2311yescharacteristic
450C2×#11758198C2311yescharacteristic
451C2×#11758198C2318yes—
452C2×#11758198C2318yes—
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2311yescharacteristic
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2311yescharacteristic
459C2×#11758198C2311yescharacteristic
460C2×#11758198C2311yescharacteristic
461C2×#11758198C2311yescharacteristic
462C2×#11758198C2311yescharacteristic
463C2×#11758198C2311yescharacteristic
464C2×#11758198C2311yescharacteristic
465C2×#11758198C2311yescharacteristic
466C2×#11758198C2311yescharacteristic
467C2×#11758198C2311yescharacteristic
468C2×#11758198C2311yescharacteristic
469C2×#11758198C2311yescharacteristic
470C2×#11758198C2311yescharacteristic
471C22⋊C4×D61C2318yes—
472C22⋊C4×D61C2318yes—
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
482C2×C4×Dic61C2311yescharacteristic
483C2×C4×Dic61C2311yescharacteristic
484C2×C4×Dic61C2318yescomplemented
485C22×Q8×C61C2311yescharacteristic
486C22×Q8×C61C2311yescharacteristic
487C22×D4×C61C2311yescharacteristic
488C22×D4×C61C2311yescharacteristic
489C22×D4×C61C2311yescharacteristic
490C22×D4×C61C2311yescharacteristic
491C22×D4×C61C2311yescharacteristic
492C22×D4×C61C2311yescharacteristic
493C23×C4×C61C2311yescharacteristic
494C23×C4×C61C2311yescharacteristic
495C23×C4×C61C2311yescharacteristic
496C23×C4×C61C2311yescharacteristic
497#125×C61C2318yescomplemented
498#124×C61C2318yescomplemented
499#124×C61C2318yescomplemented
500#123×C61C2318yes—
501#123×C61C2318yescomplemented
502#123×C61C2318yescomplemented
503#123×C61C2318yescomplemented
504C22⋊Q8×C61C2318yescomplemented
505C22⋊Q8×C61C2318yescomplemented
506C22⋊Q8×C61C2318yescomplemented
507C22⋊Q8×C61C2318yescomplemented
508#121×C61C2318yes—
509#121×C61C2318yes—
510#121×C61C2318yescomplemented
511#121×C61C2318yescomplemented
512C2×C4⋊C4×C61C2311yescharacteristic
513C2×C4⋊C4×C61C2311yescharacteristic
514C2×C4⋊C4×C61C2311yescharacteristic
515C2×C4⋊C4×C61C2311yescharacteristic
516C2×C4⋊C4×C61C2311yescharacteristic
517C2×C4⋊C4×C61C2311yescharacteristic
518C2×C4⋊C4×C61C2311yescharacteristic
519C2×C4⋊C4×C61C2311yescharacteristic
520C2×C4⋊C4×C61C2311yescharacteristic
521C2×C4⋊C4×C61C2311yescharacteristic
522C2×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×C22⋊C4×C61C2311yescharacteristic
530C2×C22⋊C4×C61C2311yescharacteristic
531C2×C22⋊C4×C61C2311yescharacteristic
532C2×C22⋊C4×C61C2311yescharacteristic
533C2×C22⋊C4×C61C2311yescharacteristic
534C2×C42×C61C2311yescharacteristic
535C24×C61C2411yescharacteristic
536C24×C61C2411yescharacteristic
537C24×C61C2411yescharacteristic
538C24×C61C2411yescharacteristic
539C23×D61—42no—
540C23×D61—42no—
541C23×D61—42no—
542C23×D61—42no—
543C23×D61—42no—
544C23×D61—42no—
545C23×D61C2411yescharacteristic
546C23×D61C2411yescharacteristic
547C23×D61C2411yescharacteristic
548C23×D61C2411yescharacteristic
549C23×D61C2411yescharacteristic
550C23×D61C2414yes—
551C23×D61C2414yes—
552C2×Q8×C61—42no—
553C2×Q8×C61—42no—
554C2×Q8×C61C2414yes—
555C2×Q8×C61C2414yes—
556C2×D4×C61—42no—
557C2×D4×C61—42no—
558C2×D4×C61—42no—
559C2×D4×C61—42no—
560C2×D4×C61—42no—
561C2×D4×C61—42no—
562C2×D4×C61C2414yes—
563C2×D4×C61C2414yes—
564C2×D4×C61C2414yes—
565C2×D4×C61C2414yes—
566C2×D4×C61C2414yes—
567C2×D4×C61C2414yes—
568C22×C4×C61—42no—
569C22×C4×C61—42no—
570C22×C4×C61—42no—
571C22×C4×C61—42no—
572C22×C4×C61C2411yescharacteristic
573C22×C4×C61C2411yescharacteristic
574C22×C4×C61C2411yescharacteristic
575C22×C4×C61C2411yescharacteristic
576C22×C4×C61C2411yescharacteristic
577C22×C4×C61C2411yescharacteristic
578C22×C4×C61C2411yescharacteristic
579C22×C4×C61C2411yescharacteristic
580C22×C4×C61C2411yescharacteristic
581C22×C4×C61C2411yescharacteristic
582C22×C4×C61C2411yescharacteristic
583C22×C4×C61C2414yes—
584C22×C4×C61C2414yes—
585C22×C4×C61C2414yes—
586C22×C4×C61C2414yes—
587C2×C22⋊D61—24no—
588C2×C22⋊D61—24no—
589C2×C22⋊D61—24no—
590C2×C22⋊D61—42no—
591C2×C22⋊D61—42no—
592C2×C22⋊D61—42no—
593C2×C22⋊D61—42no—
594C2×C22⋊D61—42no—
595C2×C22⋊D61—42no—
596C2×C22⋊D61—42no—
597C2×C22⋊D61—42no—
598C2×C22⋊D61—42no—
599C2×C22⋊D61—42no—
600C2×C22⋊D61—42no—
601C2×C22⋊D61—42no—
602C2×C22⋊D61—42no—
603C2×C22⋊D61C2414yes—
604C2×C22⋊D61C2414yes—
605C2×C22⋊D61C2414yes—
606C2×C22⋊D61C2414yes—
607C2×C22⋊D61C2414yes—
608C2×C22⋊D61C2414yes—
609C2×C22⋊D61C2414yes—
610C2×C22⋊D61C2414yes—
611C2×C22⋊D61C2414yes—
612C2×C22⋊D61C2414yes—
613C2×C22⋊D61C2414yes—
614C2×C22⋊D61C2414yes—
615C2×C22⋊D61C2414yes—
616C2×C22⋊D61C2414yes—
617C2×C22⋊D61C2414yes—
618C2×C22⋊D61C2414yes—
619C22×Dic61—24no—
620C22×Dic61—42no—
621C22×Dic61—42no—
622C22×Dic61—42no—
623C22×Dic61—42no—
624C22×Dic61—42no—
625C22×Dic61C2411yescharacteristic
626C22×Dic61C2411yescharacteristic
627C22×Dic61C2411yescharacteristic
628C22×Dic61C2411yescharacteristic
629C22×Dic61C2411yescharacteristic
630C22×Dic61C2411yescharacteristic
631C22×Dic61C2411yescharacteristic
632C22×Dic61C2411yescharacteristic
633C22×Dic61C2411yescharacteristic
634C22×Dic61C2414yes—
635C22×Dic61C2411yescharacteristic
636C22×Dic61C2414yes—
637C22×Dic61C2414yes—
638C22×Dic61C2414yes—
639C22×Dic61C2414yes—
640C22×Dic61C2414yes—
641C22×Dic61C2411yescharacteristic
642Q8×D61—416no—
643#11758224—416no—
644#11758224—416no—
645D4×D61—416no—
646#11758222—416no—
647#11758222—416no—
648C2×D244—42no—
649C2×D244—42no—
650C2×D244—42no—
651C2×D244—42no—
652C2×D244—42no—
653C2×D244—42no—
654C2×D244—42no—
655C2×D244—42no—
656C2×D244C2414yes—
657C2×D244C2414yes—
658C2×D244C2414yes—
659C2×D244C2414yes—
660C2×D244C2414yes—
661C2×D244C2414yes—
662C2×D244C2414yes—
663C2×D244C2414yes—
664C2×C4×D61—24no—
665C2×C4×D61—24no—
666C2×C4×D61—42no—
667C2×C4×D61—42no—
668C2×C4×D61—42no—
669C2×C4×D61—42no—
670C2×C4×D61—42no—
671C2×C4×D61—42no—
672C2×C4×D61—42no—
673C2×C4×D61—42no—
674C2×C4×D61—42no—
675C2×C4×D61C2414yes—
676C2×C4×D61C2414yes—
677C2×C4×D61C2414yes—
678C2×C4×D61C2414yes—
679C2×C4×D61C2414yes—
680C2×C4×D61C2414yes—
681C2×C4×D61C2414yes—
682C2×C4×D61C2414yes—
683C2×C4×D61C2414yes—
684C2×C4×D61C2414yes—
685C2×C4×D61C2414yes—
686C2×Dic122—24no—
687C2×Dic122—24no—
688C2×Dic122—24no—
689C2×Dic122—42no—
690C2×Dic122C2414yes—
691C2×Dic122C2414yes—
692C2×Dic122C2414yes—
693C2×Dic122C2414yes—
694C4⋊C4×C61C2414yes—
695C4⋊C4×C61C2414yes—
696C4⋊C4×C61C2414yes—
697C4⋊C4×C61C2414yes—
698C4⋊C4×C61C2414yes—
699C4⋊C4×C61C2414yes—
700C4⋊C4×C61C2414yes—
701C4⋊C4×C61C2414yes—
702C4⋊C4×C61C2414yes—
703C4⋊C4×C61C2414yes—
704C22⋊C4×C61C2414yes—
705C22⋊C4×C61C2414yes—
706C22⋊C4×C61C2414yes—
707C22⋊C4×C61C2414yes—
708C22⋊C4×C61C2414yes—
709C22⋊C4×C61C2414yes—
710C22⋊C4×C61C2414yes—
711C22⋊C4×C61C2414yes—
712C22⋊C4×C61C2414yes—
713C22⋊C4×C61C2414yes—
714C22⋊C4×C61C2414yes—
715C22⋊C4×C61C2414yes—
716C42×C61C2414yes—
717C22⋊Dic61C2414yes—
718C22⋊Dic61C2414yes—
719C22⋊Dic61C2414yes—
720C22⋊Dic61C2414yes—
721C22⋊Dic61C2414yes—
722C22⋊Dic61C2414yes—
723C22⋊Dic61C2414yes—
724C22⋊Dic61C2414yes—
725#11758198C2414yes—
726#11758198C2414yes—
727#11758198C2414yes—
728#11758198C2414yes—
729#11758198C2414yes—
730#11758198C2414yes—
731#11758198C2414yes—
732#11758198C2414yes—
733#11758198C2414yes—
734#11758198C2414yes—
735#11758198C2414yes—
736#11758198C2414yes—
737#11758198C2414yes—
738#11758198C2414yes—
739#11758198C2414yes—
740#11758198C2414yes—
741#11758198C2414yes—
742#11758198C2414yes—
743#11758198C2414yes—
744#11758198C2414yes—
745#11758198C2414yes—
746#11758198C2414yes—
747#11758198C2414yes—
748#11758198C2414yes—
749#11758198C2414yes—
750#11758198C2414yes—
751#11758198C2414yes—
752#11758198C2414yes—
753C4⋊Dic61C2414yes—
754C4⋊Dic61C2414yes—
755C4⋊Dic61C2414yes—
756C4⋊Dic61C2414yes—
757C4⋊Dic61C2414yes—
758C4⋊Dic61C2414yes—
759C4⋊Dic61C2414yes—
760C4⋊Dic61C2414yes—
761C4⋊Dic61C2414yes—
762C4⋊Dic61C2414yes—
763#11758196C2414yes—
764#11758196C2414yes—
765#11758196C2414yes—
766#11758196C2414yes—
767#11758196C2414yes—
768#11758196C2414yes—
769#11758196C2414yes—
770#11758196C2414yes—
771#11758196C2414yes—
772#11758196C2414yes—
773#11758196C2414yes—
774#11758196C2414yes—
775#11758196C2414yes—
776#11758196C2414yes—
777#11758196C2414yes—
778#11758196C2414yes—
779C4×Dic61C2414yes—
780C4×Dic61C2414yes—
781C4×Dic61C2414yes—
782C4×Dic61C2414yes—
783C4×Dic61C2414yes—
784C4×Dic61C2414yes—
785C4×Dic61C2414yes—
786C4×Dic61C2414yes—
787C4×Dic61C2414yes—
788C4×Dic61C2414yes—
789C4×Dic61C2414yes—
790C23×C61—22no—
791C23×C61—22no—
792C23×C61—22no—
793C23×C61—22no—
794C23×C61—22no—
795C23×C61—22no—
796C23×C61—22no—
797C23×C61—22no—
798C23×C61—22no—
799C23×C61—22no—
800C23×C61—22no—
801C23×C61—22no—
802C23×C61C2512yes—
803C23×C61C2512yes—
804C23×C61C2512yes—
805C23×C61C2512yes—
806C23×C61C2511yescharacteristic
807C22×D61—22no—
808C22×D61—22no—
809C22×D61—22no—
810C22×D61—22no—
811C22×D61—22no—
812C22×D61—22no—
813C22×D61—22no—
814C22×D61—22no—
815C22×D61—22no—
816C22×D61—22no—
817C22×D61—22no—
818C22×D61—22no—
819C22×D61—22no—
820C22×D61—22no—
821C22×D61—22no—
822C22×D61—44no—
823C22×D61—44no—
824C22×D61—44no—
825C22×D61—44no—
826C22×D61—44no—
827C22×D61—44no—
828C22×D61—88no—
829C22×D61—88no—
830C22×D61C2512yes—
831C22×D61C2512yes—
832C22×D61C2512yes—
833C22×D61C2512yes—
834C22×D61C2512yes—
835Q8×C61—44no—
836Q8×C61—44no—
837D4×C61—44no—
838D4×C61—44no—
839D4×C61—44no—
840D4×C61—44no—
841D4×C61—44no—
842D4×C61—44no—
843C2×C4×C61—22no—
844C2×C4×C61—22no—
845C2×C4×C61—22no—
846C2×C4×C61—22no—
847C2×C4×C61—22no—
848C2×C4×C61—22no—
849C2×C4×C61—22no—
850C2×C4×C61—22no—
851C2×C4×C61—22no—
852C2×C4×C61—22no—
853C2×C4×C61—22no—
854C2×C4×C61—44no—
855C2×C4×C61—44no—
856C2×C4×C61—44no—
857C2×C4×C61—44no—
858C2×C4×C61C2512yes—
859C2×C4×C61C2512yes—
860C2×C4×C61C2512yes—
861C2×C4×C61C2512yes—
862C2×C4×C61C2512yes—
863C2×C4×C61C2512yes—
864C2×C4×C61C2512yes—
865C2×C4×C61C2512yes—
866C2×C4×C61C2512yes—
867C2×C4×C61C2512yes—
868C2×C4×C61C2512yes—
869C22⋊D61—28no—
870C22⋊D61—28no—
871C22⋊D61—28no—
872C22⋊D61—44no—
873C22⋊D61—44no—
874C22⋊D61—44no—
875C22⋊D61—44no—
876C22⋊D61—44no—
877C22⋊D61—44no—
878C22⋊D61—44no—
879C22⋊D61—44no—
880C22⋊D61—44no—
881C22⋊D61—44no—
882C22⋊D61—44no—
883C22⋊D61—44no—
884C22⋊D61—44no—
885C2×Dic61—22no—
886C2×Dic61—22no—
887C2×Dic61—22no—
888C2×Dic61—22no—
889C2×Dic61—22no—
890C2×Dic61—22no—
891C2×Dic61—22no—
892C2×Dic61—22no—
893C2×Dic61—22no—
894C2×Dic61—22no—
895C2×Dic61—28no—
896C2×Dic61—44no—
897C2×Dic61—44no—
898C2×Dic61—44no—
899C2×Dic61—44no—
900C2×Dic61—44no—
901C2×Dic61H(5,𝔽2)14yes—
902C2×Dic61C2512yes—
903C2×Dic61C2512yes—
904C2×Dic61C2512yes—
905C2×Dic61C2512yes—
906C2×Dic61C2512yes—
907C2×Dic61C2512yes—
908C2×Dic61C2512yes—
909C2×Dic61C2512yes—
910C2×Dic61C2512yes—
911C2×Dic61C2512yes—
912C2×Dic61C2512yes—
913D244—44no—
914D244—44no—
915D244—44no—
916D244—44no—
917D244—44no—
918D244—44no—
919D244—44no—
920D244—44no—
921C4×D61—28no—
922C4×D61—28no—
923C4×D61—44no—
924C4×D61—44no—
925C4×D61—44no—
926C4×D61—44no—
927C4×D61—44no—
928C4×D61—44no—
929C4×D61—44no—
930C4×D61—44no—
931C4×D61—44no—
932Dic122—28no—
933Dic122—28no—
934Dic122—28no—
935Dic122—44no—
936C2×#3562—611nomaximal, Sylow
937C22×C61—22no—
938C22×C61—22no—
939C22×C61—22no—
940C22×C61—22no—
941C22×C61—22no—
942C22×C61—22no—
943C22×C61—22no—
944C22×C61—22no—
945C22×C61—22no—
946C22×C61—22no—
947C22×C61—22no—
948C22×C61—22no—
949C22×C61—44no—
950C22×C61—44no—
951C22×C61—44no—
952C22×C61—44no—
953C22×C61C2×H(5,𝔽2)12yes—
954C22×C61#58512yes—
955C22×C61#58512yes—
956C22×C61C2611yescharacteristic
957C2×D61—22no—
958C2×D61—22no—
959C2×D61—22no—
960C2×D61—22no—
961C2×D61—22no—
962C2×D61—22no—
963C2×D61—22no—
964C2×D61—22no—
965C2×D61—22no—
966C2×D61—22no—
967C2×D61—22no—
968C2×D61—22no—
969C2×D61—22no—
970C2×D61—22no—
971C2×D61—22no—
972C2×D61—44no—
973C2×D61—44no—
974C2×D61—44no—
975C2×D61—44no—
976C2×D61—44no—
977C2×D61—88no—
978C2×D61—88no—
979C4×C61—22no—
980C4×C61—22no—
981C4×C61—22no—
982C4×C61—22no—
983C4×C61—22no—
984C4×C61—22no—
985C4×C61—22no—
986C4×C61—22no—
987C4×C61—22no—
988C4×C61—22no—
989C4×C61—22no—
990Dic61—22no—
991Dic61—22no—
992Dic61—22no—
993Dic61—22no—
994Dic61—22no—
995Dic61—22no—
996Dic61—22no—
997Dic61—22no—
998Dic61—22no—
999Dic61—22no—
1000Dic61C2×H(5,𝔽2)14yes—
1001#3562—6132no—
1002C2×#562—611no—
1003C2×#562D6111yescharacteristic, complemented
1004C2×#560—611no—
1005C2×#560—611no—
1006C2×#559—611no—
1007C2×#556—611no—
1008C2×#553—611no—
1009C2×#553—611no—
1010C2×#551—611no—
1011C2×#551—611no—
1012C2×#550—611no—
1013C2×#548—611no—
1014C2×#548—611no—
1015C2×#547—611no—
1016C2×#546—611no—
1017C2×#546—611no—
1018C2×#541—611no—
1019C2×#540—611no—
1020C2×#540—611no—
1021C2×#540—611no—
1022C2×#539—611no—
1023C2×#539—611no—
1024C2×#538—611no—
1025C2×#538—611no—
1026C2×#538—611no—
1027C2×#538—611no—
1028C2×#536—611no—
1029C2×#535—611no—
1030C2×#532—611no—
1031C2×#529—611no—
1032C2×#529—611no—
1033C2×C61—42no—
1034C2×C61—42no—
1035C2×C61—42no—
1036C2×C61—42no—
1037C2×C61#356214yescomplemented
1038C2×C61C22×H(5,𝔽2)11yescharacteristic
1039C2×C61C2×#58511yescharacteristic
1040C2×C61C2×#58511yescharacteristic
1041D61—42no—
1042D61—42no—
1043D61—42no—
1044D61—42no—
1045D61—42no—
1046C22×#41—611no—
1047C22×#41—611no—
1048C22×#41—611no—
1049C22×#41—611no—
1050C23×Q8—611no—
1051C23×D4—611no—
1052#562—6116no—
1053#562C2×D61116yescomplemented
1054#560—6116no—
1055#560—6116no—
1056#559—6116no—
1057#556—6116no—
1058#553—6116no—
1059#553—6116no—
1060#551—6116no—
1061#551—6116no—
1062#550—6116no—
1063#548—6116no—
1064#548—6116no—
1065#547—6116no—
1066#546—6116no—
1067#546—6116no—
1068#541—6116no—
1069#540—6116no—
1070#540—6116no—
1071#540—6116no—
1072#539—6116no—
1073#539—6116no—
1074#538—6116no—
1075#538—6116no—
1076#538—6116no—
1077#538—6116no—
1078#536—6116no—
1079#535—6116no—
1080#532—6116no—
1081C2×C4⋊Q8—611no—
1082C2×C4⋊Q8—611no—
1083C2×#127—611no—
1084C2×#127—611no—
1085C2×#127—611no—
1086C2×#127—611no—
1087#529—6116no—
1088#529—6116no—
1089C2×#126—611no—
1090C2×#126—611no—
1091C2×#126—611no—
1092C2×#126—611no—
1093C2×#126—611no—
1094C2×#126—611no—
1095C2×#126—611no—
1096C2×#126—611no—
1097C2×#126—611no—
1098C2×#126—611no—
1099C2×#126—611no—
1100C2×#126—611no—
1101C2×#125—611no—
1102C2×#125—611no—
1103C2×#125—611no—
1104C2×#125—611no—
1105C2×#125—611no—
1106C2×#125C2×D6111yescharacteristic, complemented
1107C2×#124—611no—
1108C2×#124—611no—
1109C2×#124—611no—
1110C2×#124—611no—
1111C2×#124—611no—
1112C2×#124—611no—
1113C2×#124—611no—
1114C2×#124—611no—
1115C2×#124—611no—
1116C2×#124—611no—
1117C2×#124C2×D6111yescharacteristic, complemented
1118C2×#124C2×D6111yescharacteristic, complemented
1119C2×#123—611no—
1120C2×#123—611no—
1121C2×#123—611no—
1122C2×#123—611no—
1123C2×#123—611no—
1124C2×#123—611no—
1125C2×#123—611no—
1126C2×#123—611no—
1127C2×#123—611no—
1128C2×#123—611no—
1129C2×#123—611no—
1130C2×#123—611no—
1131C2×#123—611no—
1132C2×#123—611no—
1133C2×#123—611no—
1134C2×#123—611no—
1135C2×#123—611no—
1136C2×#123—611no—
1137C2×#123—611no—
1138C2×#123—611no—
1139C2×#123C2×D6111yescharacteristic
1140C2×#123C2×D6111yescharacteristic, complemented
1141C2×#123C2×D6111yescharacteristic, complemented
1142C2×#123C2×D6111yescharacteristic, complemented
1143C2×C22⋊Q8—611no—
1144C2×C22⋊Q8—611no—
1145C2×C22⋊Q8—611no—
1146C2×C22⋊Q8—611no—
1147C2×C22⋊Q8—611no—
1148C2×C22⋊Q8—611no—
1149C2×C22⋊Q8—611no—
1150C2×C22⋊Q8—611no—
1151C2×C22⋊Q8—611no—
1152C2×C22⋊Q8—611no—
1153C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1154C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1155C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1156C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1157C2×#121—611no—
1158C2×#121—611no—
1159C2×#121—611no—
1160C2×#121—611no—
1161C2×#121—611no—
1162C2×#121—611no—
1163C2×#121—611no—
1164C2×#121—611no—
1165C2×#121—611no—
1166C2×#121—611no—
1167C2×#121—611no—
1168C2×#121—611no—
1169C2×#121—611no—
1170C2×#121—611no—
1171C2×#121—611no—
1172C2×#121—611no—
1173C2×#121—611no—
1174C2×#121—611no—
1175C2×#121—611no—
1176C2×#121—611no—
1177C2×#121—611no—
1178C2×#121—611no—
1179C2×#121—611no—
1180C2×#121—611no—
1181C2×#121—611no—
1182C2×#121—611no—
1183C2×#121C2×D6111yescharacteristic
1184C2×#121C2×D6111yescharacteristic
1185C2×#121C2×D6111yescharacteristic, complemented
1186C2×#121C2×D6111yescharacteristic, complemented
1187C2×#120—611no—
1188C2×#120—611no—
1189C2×#120—611no—
1190C2×#120—611no—
1191C2×#120—611no—
1192C2×#120—611no—
1193C2×#120—611no—
1194C2×#120—611no—
1195C2×C4×Q8—611no—
1196C2×C4×Q8—611no—
1197C2×C4×Q8—611no—
1198C2×C4×Q8—611no—
1199C2×C4×D4—611no—
1200C2×C4×D4—611no—
1201C2×C4×D4—611no—
1202C2×C4×D4—611no—
1203C2×C4×D4—611no—
1204C2×C4×D4—611no—
1205C2×C4×D4—611no—
1206C2×C4×D4—611no—
1207C2×C4×D4—611no—
1208C2×C4×D4—611no—
1209C2×C4×D4—611no—
1210C2×C4×D4—611no—
1211C2×C4×D4—611no—
1212C2×C4×D4—611no—
1213C2×C4×D4—611no—
1214C2×C4×D4—611no—
1215C2×C4×D4—611no—
1216C2×C4×D4—611no—
1217C2×C4×D4—611no—
1218C2×C4×D4—611no—
1219C2×#117—611no—
1220C2×#117—611no—
1221C2×#117—611no—
1222C2×#117—611no—
1223C2×#117—611no—
1224C2×#117—611no—
1225C22×C4⋊C4—611no—
1226C22×C4⋊C4—611no—
1227C22×C22⋊C4—611no—
1228C22×C22⋊C4—611no—
1229C22×C22⋊C4—611no—
1230C22×C22⋊C4—611no—
1231C22×C42—611no—
1232C61C2×#356211yescharacteristic, complemented, Sylow
1233C25—611no—
1234C25—611no—
1235C2×#41—618no—
1236C2×#41—618no—
1237C2×#41—618no—
1238C2×#41—618no—
1239C2×#41—2444no—
1240C2×#41—2444no—
1241C2×#41—2444no—
1242C2×#41—2444no—
1243C22×Q8—618no—
1244C22×Q8—611no—
1245C22×Q8—611no—
1246C22×Q8—611no—
1247C22×Q8—611no—
1248C22×Q8—2444no—
1249C22×Q8C22×D6111yescharacteristic
1250C22×Q8C22×D6111yescharacteristic
1251C22×D4—611no—
1252C22×D4—611no—
1253C22×D4—611no—
1254C22×D4—611no—
1255C22×D4—611no—
1256C22×D4—611no—
1257C22×D4—611no—
1258C22×D4—611no—
1259C22×D4—611no—
1260C22×D4—611no—
1261C22×D4—611no—
1262C22×D4—611no—
1263C22×D4—611no—
1264C22×D4—611no—
1265C22×D4—611no—
1266C22×D4—611no—
1267C22×D4—618no—
1268C22×D4—611no—
1269C22×D4—611no—
1270C22×D4—611no—
1271C22×D4—611no—
1272C22×D4—611no—
1273C22×D4—611no—
1274C22×D4—611no—
1275C22×D4—611no—
1276C22×D4—2444no—
1277C22×D4C22×D6111yescharacteristic
1278C22×D4C22×D6111yescharacteristic
1279C22×D4C22×D6111yescharacteristic
1280C22×D4C22×D6111yescharacteristic
1281C22×D4C22×D6111yescharacteristic
1282C22×D4C22×D6111yescharacteristic
1283C23×C4—611no—
1284C23×C4—611no—
1285C23×C4—611no—
1286C23×C4—611no—
1287C23×C4—611no—
1288C23×C4—611no—
1289C23×C4—611no—
1290C23×C4—611no—
1291C23×C4—611no—
1292C23×C4—611no—
1293C23×C4—611no—
1294C23×C4—611no—
1295C23×C4—611no—
1296C23×C4—611no—
1297C23×C4—611no—
1298C23×C4—611no—
1299C23×C4—611no—
1300C23×C4C22×D6111yescharacteristic
1301C23×C4C22×D6111yescharacteristic
1302C23×C4C22×D6111yescharacteristic
1303C23×C4C22×D6111yescharacteristic
1304C4⋊Q8—618no—
1305C4⋊Q8—618no—
1306#127—618no—
1307#127—618no—
1308#127—618no—
1309#127—618no—
1310#126—618no—
1311#126—618no—
1312#126—618no—
1313#126—618no—
1314#126—618no—
1315#126—618no—
1316#126—618no—
1317#126—618no—
1318#126—618no—
1319#126—618no—
1320#126—618no—
1321#126—618no—
1322#125—618no—
1323#125—618no—
1324#125—618no—
1325#125—618no—
1326#125—618no—
1327#125C22×D6118yescomplemented
1328#124—618no—
1329#124—618no—
1330#124—618no—
1331#124—618no—
1332#124—618no—
1333#124—618no—
1334#124—618no—
1335#124—618no—
1336#124—618no—
1337#124—618no—
1338#124C22×D6118yescomplemented
1339#124C22×D6118yescomplemented
1340#123—618no—
1341#123—618no—
1342#123—618no—
1343#123—618no—
1344#123—618no—
1345#123—618no—
1346#123—618no—
1347#123—618no—
1348#123—618no—
1349#123—618no—
1350#123—618no—
1351#123—618no—
1352#123—618no—
1353#123—618no—
1354#123—618no—
1355#123—618no—
1356#123—618no—
1357#123—618no—
1358#123—618no—
1359#123—618no—
1360#123C22×D6118yes—
1361#123C22×D6118yescomplemented
1362#123C22×D6118yescomplemented
1363#123C22×D6118yescomplemented
1364C22⋊Q8—618no—
1365C22⋊Q8—618no—
1366C22⋊Q8—618no—
1367C22⋊Q8—618no—
1368C22⋊Q8—618no—
1369C22⋊Q8—618no—
1370C22⋊Q8—618no—
1371C22⋊Q8—618no—
1372C22⋊Q8—618no—
1373C22⋊Q8—618no—
1374C22⋊Q8C22×D6118yescomplemented
1375C22⋊Q8C22×D6118yescomplemented
1376C22⋊Q8C22×D6118yescomplemented
1377C22⋊Q8C22×D6118yescomplemented
1378#121—618no—
1379#121—618no—
1380#121—618no—
1381#121—618no—
1382#121—618no—
1383#121—618no—
1384#121—618no—
1385#121—618no—
1386#121—618no—
1387#121—618no—
1388#121—618no—
1389#121—618no—
1390#121—618no—
1391#121—618no—
1392#121—618no—
1393#121—618no—
1394#121—618no—
1395#121—618no—
1396#121—618no—
1397#121—618no—
1398#121—618no—
1399#121—618no—
1400#121—618no—
1401#121—618no—
1402#121—618no—
1403#121—618no—
1404#121C22×D6118yes—
1405#121C22×D6118yes—
1406#121C22×D6118yescomplemented
1407#121C22×D6118yescomplemented
1408#120—618no—
1409#120—618no—
1410#120—618no—
1411#120—618no—
1412#120—618no—
1413#120—618no—
1414#120—618no—
1415#120—618no—
1416C4×Q8—618no—
1417C4×Q8—618no—
1418C4×Q8—618no—
1419C4×Q8—618no—
1420C4×D4—618no—
1421C4×D4—618no—
1422C4×D4—618no—
1423C4×D4—618no—
1424C4×D4—618no—
1425C4×D4—618no—
1426C4×D4—618no—
1427C4×D4—618no—
1428C4×D4—618no—
1429C4×D4—618no—
1430C4×D4—618no—
1431C4×D4—618no—
1432C4×D4—618no—
1433C4×D4—618no—
1434C4×D4—618no—
1435C4×D4—618no—
1436C4×D4—618no—
1437C4×D4—618no—
1438C4×D4—618no—
1439C4×D4—618no—
1440#117—618no—
1441#117—618no—
1442#117—618no—
1443#117—618no—
1444#117—618no—
1445#117—618no—
1446C2×C4⋊C4—611no—
1447C2×C4⋊C4—611no—
1448C2×C4⋊C4—611no—
1449C2×C4⋊C4—611no—
1450C2×C4⋊C4—611no—
1451C2×C4⋊C4—611no—
1452C2×C4⋊C4—618no—
1453C2×C4⋊C4—611no—
1454C2×C4⋊C4—611no—
1455C2×C4⋊C4—611no—
1456C2×C4⋊C4—611no—
1457C2×C4⋊C4—611no—
1458C2×C4⋊C4—611no—
1459C2×C4⋊C4—611no—
1460C2×C4⋊C4—611no—
1461C2×C4⋊C4—611no—
1462C2×C4⋊C4—611no—
1463C2×C4⋊C4—611no—
1464C2×C4⋊C4—611no—
1465C2×C4⋊C4—611no—
1466C2×C4⋊C4—611no—
1467C2×C4⋊C4—611no—
1468C2×C4⋊C4—611no—
1469C2×C4⋊C4—611no—
1470C2×C4⋊C4—611no—
1471C2×C4⋊C4—611no—
1472C2×C4⋊C4—611no—
1473C2×C4⋊C4—618no—
1474C2×C4⋊C4C22×D6111yescharacteristic
1475C2×C4⋊C4C22×D6111yescharacteristic
1476C2×C4⋊C4C22×D6111yescharacteristic
1477C2×C4⋊C4C22×D6111yescharacteristic
1478C2×C4⋊C4C22×D6111yescharacteristic
1479C2×C4⋊C4C22×D6111yescharacteristic
1480C2×C4⋊C4C22×D6111yescharacteristic
1481C2×C4⋊C4C22×D6111yescharacteristic
1482C2×C4⋊C4C22×D6111yescharacteristic
1483C2×C4⋊C4C22×D6111yescharacteristic
1484C2×C22⋊C4—611no—
1485C2×C22⋊C4—611no—
1486C2×C22⋊C4—611no—
1487C2×C22⋊C4—611no—
1488C2×C22⋊C4—611no—
1489C2×C22⋊C4—611no—
1490C2×C22⋊C4—611no—
1491C2×C22⋊C4—611no—
1492C2×C22⋊C4—611no—
1493C2×C22⋊C4—611no—
1494C2×C22⋊C4—611no—
1495C2×C22⋊C4—611no—
1496C2×C22⋊C4—611no—
1497C2×C22⋊C4—611no—
1498C2×C22⋊C4—611no—
1499C2×C22⋊C4—611no—
1500C2×C22⋊C4—611no—
1501C2×C22⋊C4—611no—
1502C2×C22⋊C4—618no—
1503C2×C22⋊C4—618no—
1504C2×C22⋊C4—611no—
1505C2×C22⋊C4—611no—
1506C2×C22⋊C4—611no—
1507C2×C22⋊C4—611no—
1508C2×C22⋊C4—611no—
1509C2×C22⋊C4—611no—
1510C2×C22⋊C4—611no—
1511C2×C22⋊C4—611no—
1512C2×C22⋊C4—611no—
1513C2×C22⋊C4—611no—
1514C2×C22⋊C4—611no—
1515C2×C22⋊C4—611no—
1516C2×C22⋊C4—611no—
1517C2×C22⋊C4—611no—
1518C2×C22⋊C4—611no—
1519C2×C22⋊C4—611no—
1520C2×C22⋊C4—611no—
1521C2×C22⋊C4—611no—
1522C2×C22⋊C4—618no—
1523C2×C22⋊C4—618no—
1524C2×C22⋊C4C22×D6111yescharacteristic
1525C2×C22⋊C4C22×D6111yescharacteristic
1526C2×C22⋊C4C22×D6111yescharacteristic
1527C2×C22⋊C4C22×D6111yescharacteristic
1528C2×C22⋊C4C22×D6111yescharacteristic
1529C2×C22⋊C4C22×D6111yescharacteristic
1530C2×C22⋊C4C22×D6111yescharacteristic
1531C2×C22⋊C4C22×D6111yescharacteristic
1532C2×C22⋊C4C22×D6111yescharacteristic
1533C2×C22⋊C4C22×D6111yescharacteristic
1534C2×C22⋊C4C22×D6111yescharacteristic
1535C2×C22⋊C4C22×D6111yescharacteristic
1536C2×C42—611no—
1537C2×C42—611no—
1538C2×C42—611no—
1539C2×C42—611no—
1540C2×C42—611no—
1541C2×C42—611no—
1542C2×C42—611no—
1543C2×C42—611no—
1544C2×C42—611no—
1545C2×C42—611no—
1546C2×C42—611no—
1547C2×C42—618no—
1548C2×C42C22×D6111yescharacteristic
1549C24—611no—
1550C24—611no—
1551C24—611no—
1552C24—611no—
1553C24—611no—
1554C24—614no—
1555C24—614no—
1556C24—2442no—
1557C24—2442no—
1558C24—2442no—
1559C24—2442no—
1560C24—2442no—
1561C24—2442no—
1562C24C23×D6111yescharacteristic
1563C24C23×D6111yescharacteristic
1564C24C23×D6111yescharacteristic
1565C24C23×D6111yescharacteristic
1566#41—24416no—
1567#41—24416no—
1568#41—24416no—
1569#41—24416no—
1570C2×Q8—42no—
1571C2×Q8—42no—
1572C2×Q8—614no—
1573C2×Q8—614no—
1574C2×Q8—614no—
1575C2×Q8—614no—
1576C2×Q8—1224no—
1577C2×Q8—1224no—
1578C2×Q8—1224no—
1579C2×Q8—2442no—
1580C2×Q8—24416no—
1581C2×Q8C23×D6114yes—
1582C2×Q8C23×D6114yes—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—614no—
1590C2×D4—614no—
1591C2×D4—614no—
1592C2×D4—614no—
1593C2×D4—614no—
1594C2×D4—614no—
1595C2×D4—614no—
1596C2×D4—614no—
1597C2×D4—614no—
1598C2×D4—614no—
1599C2×D4—614no—
1600C2×D4—614no—
1601C2×D4—614no—
1602C2×D4—614no—
1603C2×D4—614no—
1604C2×D4—614no—
1605C2×D4—614no—
1606C2×D4—614no—
1607C2×D4—614no—
1608C2×D4—614no—
1609C2×D4—614no—
1610C2×D4—614no—
1611C2×D4—614no—
1612C2×D4—614no—
1613C2×D4—1224no—
1614C2×D4—1224no—
1615C2×D4—1224no—
1616C2×D4—2442no—
1617C2×D4—2442no—
1618C2×D4—2442no—
1619C2×D4—2442no—
1620C2×D4—2442no—
1621C2×D4—2442no—
1622C2×D4—2442no—
1623C2×D4—2442no—
1624C2×D4—24416no—
1625C2×D4—2442no—
1626C2×D4—2442no—
1627C2×D4—2442no—
1628C2×D4—2442no—
1629C2×D4—2442no—
1630C2×D4—2442no—
1631C2×D4—2442no—
1632C2×D4—2442no—
1633C2×D4—2442no—
1634C2×D4—2442no—
1635C2×D4—2442no—
1636C2×D4—2442no—
1637C2×D4—2442no—
1638C2×D4C23×D6114yes—
1639C2×D4C23×D6114yes—
1640C2×D4C23×D6114yes—
1641C2×D4C23×D6114yes—
1642C2×D4C23×D6114yes—
1643C2×D4C23×D6114yes—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—611no—
1649C22×C4—614no—
1650C22×C4—611no—
1651C22×C4—611no—
1652C22×C4—611no—
1653C22×C4—611no—
1654C22×C4—611no—
1655C22×C4—611no—
1656C22×C4—611no—
1657C22×C4—611no—
1658C22×C4—611no—
1659C22×C4—611no—
1660C22×C4—614no—
1661C22×C4—614no—
1662C22×C4—614no—
1663C22×C4—614no—
1664C22×C4—614no—
1665C22×C4—614no—
1666C22×C4—614no—
1667C22×C4—614no—
1668C22×C4—614no—
1669C22×C4—614no—
1670C22×C4—614no—
1671C22×C4—614no—
1672C22×C4—614no—
1673C22×C4—614no—
1674C22×C4—614no—
1675C22×C4—614no—
1676C22×C4—1224no—
1677C22×C4—1224no—
1678C22×C4—1224no—
1679C22×C4—2442no—
1680C22×C4—2442no—
1681C22×C4—2442no—
1682C22×C4—2442no—
1683C22×C4—2442no—
1684C22×C4—2442no—
1685C22×C4—2442no—
1686C22×C4—2442no—
1687C22×C4—2442no—
1688C22×C4—2442no—
1689C22×C4—2442no—
1690C22×C4—2442no—
1691C22×C4—2442no—
1692C22×C4—2442no—
1693C22×C4C23×D6111yescharacteristic
1694C22×C4C23×D6111yescharacteristic
1695C22×C4C23×D6111yescharacteristic
1696C22×C4C23×D6111yescharacteristic
1697C22×C4C23×D6111yescharacteristic
1698C22×C4C23×D6111yescharacteristic
1699C22×C4C23×D6111yescharacteristic
1700C22×C4C23×D6111yescharacteristic
1701C22×C4C23×D6111yescharacteristic
1702C22×C4C23×D6111yescharacteristic
1703C22×C4C23×D6111yescharacteristic
1704C22×C4C23×D6114yes—
1705C22×C4C23×D6114yes—
1706C22×C4C23×D6114yes—
1707C22×C4C23×D6114yes—
1708C4⋊C4—614no—
1709C4⋊C4—614no—
1710C4⋊C4—614no—
1711C4⋊C4—614no—
1712C4⋊C4—614no—
1713C4⋊C4—614no—
1714C4⋊C4—614no—
1715C4⋊C4—614no—
1716C4⋊C4—614no—
1717C4⋊C4—614no—
1718C4⋊C4—614no—
1719C4⋊C4—614no—
1720C4⋊C4—614no—
1721C4⋊C4—614no—
1722C4⋊C4—614no—
1723C4⋊C4—614no—
1724C4⋊C4—614no—
1725C4⋊C4—614no—
1726C4⋊C4—614no—
1727C4⋊C4—614no—
1728C4⋊C4—614no—
1729C4⋊C4—614no—
1730C4⋊C4—614no—
1731C4⋊C4—614no—
1732C4⋊C4—614no—
1733C4⋊C4—614no—
1734C4⋊C4C23×D6114yes—
1735C4⋊C4C23×D6114yes—
1736C4⋊C4C23×D6114yes—
1737C4⋊C4C23×D6114yes—
1738C4⋊C4C23×D6114yes—
1739C4⋊C4C23×D6114yes—
1740C4⋊C4C23×D6114yes—
1741C4⋊C4C23×D6114yes—
1742C4⋊C4C23×D6114yes—
1743C4⋊C4C23×D6114yes—
1744C22⋊C4—614no—
1745C22⋊C4—614no—
1746C22⋊C4—614no—
1747C22⋊C4—614no—
1748C22⋊C4—614no—
1749C22⋊C4—614no—
1750C22⋊C4—614no—
1751C22⋊C4—614no—
1752C22⋊C4—614no—
1753C22⋊C4—614no—
1754C22⋊C4—614no—
1755C22⋊C4—614no—
1756C22⋊C4—614no—
1757C22⋊C4—614no—
1758C22⋊C4—614no—
1759C22⋊C4—614no—
1760C22⋊C4—614no—
1761C22⋊C4—614no—
1762C22⋊C4—614no—
1763C22⋊C4—614no—
1764C22⋊C4—614no—
1765C22⋊C4—614no—
1766C22⋊C4—614no—
1767C22⋊C4—614no—
1768C22⋊C4—614no—
1769C22⋊C4—614no—
1770C22⋊C4—614no—
1771C22⋊C4—614no—
1772C22⋊C4—614no—
1773C22⋊C4—614no—
1774C22⋊C4—614no—
1775C22⋊C4—614no—
1776C22⋊C4—614no—
1777C22⋊C4—614no—
1778C22⋊C4—614no—
1779C22⋊C4—614no—
1780C22⋊C4C23×D6114yes—
1781C22⋊C4C23×D6114yes—
1782C22⋊C4C23×D6114yes—
1783C22⋊C4C23×D6114yes—
1784C22⋊C4C23×D6114yes—
1785C22⋊C4C23×D6114yes—
1786C22⋊C4C23×D6114yes—
1787C22⋊C4C23×D6114yes—
1788C22⋊C4C23×D6114yes—
1789C22⋊C4C23×D6114yes—
1790C22⋊C4C23×D6114yes—
1791C22⋊C4C23×D6114yes—
1792C42—614no—
1793C42—614no—
1794C42—614no—
1795C42—614no—
1796C42—614no—
1797C42—614no—
1798C42—614no—
1799C42—614no—
1800C42—614no—
1801C42—614no—
1802C42—614no—
1803C42C23×D6114yes—
1804C23—22no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—612no—
1817C23—612no—
1818C23—612no—
1819C23—612no—
1820C23—612no—
1821C23—1222no—
1822C23—1222no—
1823C23—1222no—
1824C23—1222no—
1825C23—1222no—
1826C23—1222no—
1827C23—1222no—
1828C23—1222no—
1829C23—1222no—
1830C23—1222no—
1831C23—1222no—
1832C23—1222no—
1833C23—1222no—
1834C23—1222no—
1835C23—1222no—
1836C23—4888no—
1837C23—4888no—
1838C23—2444no—
1839C23—2444no—
1840C23—2444no—
1841C23—2444no—
1842C23—2444no—
1843C23—2444no—
1844C23C24×D6112yes—
1845C23C24×D6112yes—
1846C23C24×D6112yes—
1847C23C24×D6112yes—
1848C23C24×D6111yescharacteristic
1849Q8—44no—
1850Q8—44no—
1851Q8—1228no—
1852Q8—1228no—
1853Q8—1228no—
1854Q8—2444no—
1855D4—44no—
1856D4—44no—
1857D4—44no—
1858D4—44no—
1859D4—44no—
1860D4—44no—
1861D4—1228no—
1862D4—1228no—
1863D4—1228no—
1864D4—2444no—
1865D4—2444no—
1866D4—2444no—
1867D4—2444no—
1868D4—2444no—
1869D4—2444no—
1870D4—2444no—
1871D4—2444no—
1872D4—2444no—
1873D4—2444no—
1874D4—2444no—
1875D4—2444no—
1876D4—2444no—
1877D4—2444no—
1878D4—2444no—
1879D4—2444no—
1880D4—2444no—
1881D4—2444no—
1882D4—2444no—
1883D4—2444no—
1884D4—2444no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—44no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—44no—
1900C2×C4—614no—
1901C2×C4—612no—
1902C2×C4—612no—
1903C2×C4—612no—
1904C2×C4—612no—
1905C2×C4—612no—
1906C2×C4—612no—
1907C2×C4—612no—
1908C2×C4—612no—
1909C2×C4—612no—
1910C2×C4—612no—
1911C2×C4—612no—
1912C2×C4—1228no—
1913C2×C4—1228no—
1914C2×C4—1228no—
1915C2×C4—1222no—
1916C2×C4—1222no—
1917C2×C4—1222no—
1918C2×C4—1222no—
1919C2×C4—1222no—
1920C2×C4—1222no—
1921C2×C4—1222no—
1922C2×C4—1222no—
1923C2×C4—1222no—
1924C2×C4—1222no—
1925C2×C4—2444no—
1926C2×C4—2444no—
1927C2×C4—2444no—
1928C2×C4—2444no—
1929C2×C4—2444no—
1930C2×C4—2444no—
1931C2×C4—2444no—
1932C2×C4—2444no—
1933C2×C4—2444no—
1934C2×C4—2444no—
1935C2×C4—2444no—
1936C2×C4—2444no—
1937C2×C4—2444no—
1938C2×C4—2444no—
1939C2×C4C24×D6112yes—
1940C2×C4C24×D6112yes—
1941C2×C4C24×D6112yes—
1942C2×C4C24×D6112yes—
1943C2×C4C24×D6112yes—
1944C2×C4C24×D6112yes—
1945C2×C4C24×D6112yes—
1946C2×C4C24×D6112yes—
1947C2×C4C24×D6112yes—
1948C2×C4C24×D6112yes—
1949C2×C4C24×D6112yes—
1950C22—22no—
1951C22—22no—
1952C22—22no—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—44no—
1963C22—44no—
1964C22—44no—
1965C22—44no—
1966C22—1222no—
1967C22—1222no—
1968C22—1222no—
1969C22—1222no—
1970C22—1222no—
1971C22—1222no—
1972C22—1222no—
1973C22—1222no—
1974C22—1222no—
1975C22—1222no—
1976C22—1222no—
1977C22—1222no—
1978C22—1222no—
1979C22—1222no—
1980C22—1222no—
1981C22—4888no—
1982C22—4888no—
1983C22—2444no—
1984C22—2444no—
1985C22—2444no—
1986C22—2444no—
1987C22—2444no—
1988C22H(5,𝔽2)×D6112yes—
1989C22#1684059712yes—
1990C22#1684059912yes—
1991C22C25×D6111yescharacteristic
1992C4—22no—
1993C4—22no—
1994C4—22no—
1995C4—22no—
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—614no—
2004C4—1222no—
2005C4—1222no—
2006C4—1222no—
2007C4—1222no—
2008C4—1222no—
2009C4—1222no—
2010C4—1222no—
2011C4—1222no—
2012C4—1222no—
2013C4—1222no—
2014C2—42no—
2015C2—42no—
2016C2—42no—
2017C2—42no—
2018C2—2442no—
2019C2—2442no—
2020C2—2442no—
2021C2—2442no—
2022C2—2442no—
2023C2#2146040414yesdirect product factor
2024C2C2×H(5,𝔽2)×D6111yescharacteristic
2025C2C2×#1684059711yescharacteristic
2026C2C2×#1684059911yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#562C2
socleC23×C61C25
hypercenterC2×#562D61
hypocenterC61C2×#3562
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #21460404C2direct (N × H)
2. C2×#16840508C2semidirect
3. C2×#16840502C2semidirect
4. C2×#16840500C2semidirect
5. C2×#16840494C2semidirect
6. C2×#16840483C2semidirect
7. C2×#16840465C2semidirect
8. C2×#16840455C2semidirect
9. C2×#16840439C2semidirect
10. C2×#16840435C2semidirect
11. C2×#16840430C2semidirect
12. C2×#16840422C2semidirect
13. C2×#16840420C2semidirect
14. C2×#16840410C2semidirect
15. C2×#16840404C2semidirect
16. C2×#16840401C2semidirect
17. C2×#16840371C2semidirect
18. C2×#16840365C2semidirect
19. C2×#16840364C2semidirect
20. C2×#16840364C2semidirect
21. C2×#16840361C2semidirect
22. C2×#16840355C2semidirect
23. C2×#16840352C2semidirect
24. C2×#16840349C2semidirect
25. C2×#16840346C2semidirect
26. C2×#16840346C2semidirect
27. C2×#16840335C2semidirect
28. C2×#16840328C2semidirect
29. C2×#16840307C2semidirect
30. C2×#16840298C2semidirect
31. C2×#16840289C2semidirect
32. C2×C61×#562C2semidirect
36. C22×#11758224C22semidirect
37. C22×Q8×D61C22semidirect
39. #16840508C22semidirect
40. #16840502C22semidirect
41. #16840500C22semidirect
42. #16840494C22semidirect
43. #16840483C22semidirect
44. #16840465C22semidirect
45. #16840455C22semidirect
46. #16840439C22semidirect
47. #16840435C22semidirect
48. #16840430C22semidirect
49. #16840422C22semidirect
50. #16840420C22semidirect
51. #16840410C22semidirect
52. #16840404C22semidirect
53. #16840401C22semidirect
54. #16840371C22semidirect
55. #16840365C22semidirect
56. #16840364C22semidirect
57. #16840364C22semidirect
58. #16840361C22semidirect
59. #16840355C22semidirect
60. #16840352C22semidirect
61. #16840349C22semidirect
62. #16840346C22semidirect
63. #16840346C22semidirect
64. #16840335C22semidirect
65. #16840328C22semidirect
66. #16840307C22semidirect
67. C2×#14519776C22semidirect
68. C2×#14519776C22semidirect
71. C2×#14519773C22semidirect
72. C2×#14519773C22semidirect
73. #16840298C22semidirect
74. #16840289C22semidirect
79. C2×#14519772C22semidirect
80. C2×#14519772C22semidirect
81. C2×#14519772C22semidirect
82. C2×#14519772C22semidirect
84. C2×#14519770C22semidirect
85. C2×#14519770C22semidirect
86. C2×#14519770C22semidirect
87. C2×#14519768C22semidirect
88. C2×#14519768C22semidirect
89. C2×#14519767C22semidirect
90. C2×#14519767C22semidirect
91. C2×#14519767C22semidirect
94. C2×#14519766C22semidirect
100. C2×#14519763C22semidirect
101. C2×#14519763C22semidirect
105. C2×#14519762C22semidirect
106. C2×#14519762C22semidirect
107. C2×#14519762C22semidirect
110. C2×#14519761C22semidirect
111. C2×#14519761C22semidirect
112. C2×#14519761C22semidirect
113. C2×#14519761C22semidirect
114. C2×#14519760C22semidirect
115. C2×#14519759C22semidirect
116. C2×#14519759C22semidirect
117. C2×#14519759C22semidirect
118. C2×#14519759C22semidirect
119. C2×#14519759C22semidirect
120. C2×#14519759C22semidirect
122. C2×#14519757C22semidirect
123. C2×#14519756C22semidirect
126. C2×#14519755C22semidirect
127. C2×#14519754C22semidirect
128. C2×#14519754C22semidirect
129. C2×#14519753C22semidirect
130. C2×#14519753C22semidirect
131. C2×#14519753C22semidirect
135. C2×#14519752C22semidirect
136. C2×#14519752C22semidirect
139. C2×#14519751C22semidirect
140. C2×#14519751C22semidirect
145. C2×#14519750C22semidirect
146. C2×#14519750C22semidirect
147. C2×#14519750C22semidirect
148. C2×#14519750C22semidirect
152. C2×#14519749C22semidirect
153. C2×#14519749C22semidirect
154. C2×#14519749C22semidirect
155. C2×#14519749C22semidirect
157. C2×#14519748C22semidirect
166. C2×Q8×Dic61C22semidirect
167. C2×C4×Dic122C22semidirect
168. C2×#14519742C22semidirect
169. C2×#14519742C22semidirect
170. C2×C4×D244C22semidirect
171. C2×C4×D244C22semidirect
172. C2×D4×Dic61C22semidirect
173. C2×D4×Dic61C22semidirect
174. C2×D4×Dic61C22semidirect
176. C2×#14519739C22semidirect
177. C2×#14519739C22semidirect
179. C2×C4×C22⋊D61C22semidirect
180. C2×C4×C22⋊D61C22semidirect
183. C2×#14519737C22semidirect
184. C2×#14519737C22semidirect
185. C2×#14519737C22semidirect
186. C2×#14519737C22semidirect
187. C2×#14519737C22semidirect
188. C2×#14519737C22semidirect
189. C2×#14519737C22semidirect
190. C2×#14519736C22semidirect
192. C2×#14519735C22semidirect
193. C2×#14519735C22semidirect
194. C2×#14519735C22semidirect
195. C2×#14519733C22semidirect
196. C22×#11758196C22semidirect
197. C2×C4⋊C4×D61C22semidirect
202. C22×C4×Dic61C22semidirect
203. C61×#562C22semidirect
204. C2×#125×C61C22semidirect
205. C2×#124×C61C22semidirect
206. C2×#124×C61C22semidirect
208. C2×#123×C61C22semidirect
209. C2×#123×C61C22semidirect
210. C2×#123×C61C22semidirect
211. C2×C22⋊Q8×C61C22semidirect
212. C2×C22⋊Q8×C61C22semidirect
213. C2×C22⋊Q8×C61C22semidirect
214. C2×C22⋊Q8×C61C22semidirect
217. C2×#121×C61C22semidirect
218. C2×#121×C61C22semidirect
228. C2×#11758224C23semidirect
234. C2×Q8×D61C23semidirect
278. #14519776C23semidirect
279. #14519776C23semidirect
282. #14519773C23semidirect
283. #14519773C23semidirect
288. #14519772C23semidirect
289. #14519772C23semidirect
290. #14519772C23semidirect
291. #14519772C23semidirect
293. #14519770C23semidirect
294. #14519770C23semidirect
295. #14519770C23semidirect
296. #14519768C23semidirect
297. #14519768C23semidirect
298. #14519767C23semidirect
299. #14519767C23semidirect
300. #14519767C23semidirect
303. #14519766C23semidirect
309. #14519763C23semidirect
310. #14519763C23semidirect
314. #14519762C23semidirect
315. #14519762C23semidirect
316. #14519762C23semidirect
319. #14519761C23semidirect
320. #14519761C23semidirect
321. #14519761C23semidirect
322. #14519761C23semidirect
323. #14519760C23semidirect
324. #14519759C23semidirect
325. #14519759C23semidirect
326. #14519759C23semidirect
327. #14519759C23semidirect
328. #14519759C23semidirect
329. #14519759C23semidirect
331. #14519757C23semidirect
332. #14519756C23semidirect
335. #14519755C23semidirect
336. #14519754C23semidirect
337. #14519754C23semidirect
338. #14519753C23semidirect
339. #14519753C23semidirect
340. #14519753C23semidirect
344. #14519752C23semidirect
345. #14519752C23semidirect
348. #14519751C23semidirect
349. #14519751C23semidirect
354. #14519750C23semidirect
355. #14519750C23semidirect
356. #14519750C23semidirect
357. #14519750C23semidirect
361. #14519749C23semidirect
362. #14519749C23semidirect
363. #14519749C23semidirect
364. #14519749C23semidirect
366. #14519748C23semidirect
375. Q8×Dic61C23semidirect
376. C4×Dic122C23semidirect
377. #14519742C23semidirect
378. #14519742C23semidirect
379. C4×D244C23semidirect
380. C4×D244C23semidirect
381. D4×Dic61C23semidirect
382. D4×Dic61C23semidirect
383. D4×Dic61C23semidirect
385. #14519739C23semidirect
386. #14519739C23semidirect
388. C4×C22⋊D61C23semidirect
389. C4×C22⋊D61C23semidirect
392. #14519737C23semidirect
393. #14519737C23semidirect
394. #14519737C23semidirect
395. #14519737C23semidirect
396. #14519737C23semidirect
397. #14519737C23semidirect
398. #14519737C23semidirect
399. #14519736C23semidirect
401. #14519735C23semidirect
402. #14519735C23semidirect
403. #14519735C23semidirect
404. #14519733C23semidirect
431. C2×#11758196C23semidirect
432. C4⋊C4×D61C23semidirect
484. C2×C4×Dic61C23semidirect
497. #125×C61C23semidirect
498. #124×C61C23semidirect
499. #124×C61C23semidirect
501. #123×C61C23semidirect
502. #123×C61C23semidirect
503. #123×C61C23semidirect
504. C22⋊Q8×C61C23semidirect
505. C22⋊Q8×C61C23semidirect
506. C22⋊Q8×C61C23semidirect
507. C22⋊Q8×C61C23semidirect
510. #121×C61C23semidirect
511. #121×C61C23semidirect
1003. C2×#562D61semidirect
1037. C2×C61#3562semidirect
1053. #562C2×D61semidirect
1106. C2×#125C2×D61semidirect
1117. C2×#124C2×D61semidirect
1118. C2×#124C2×D61semidirect
1140. C2×#123C2×D61semidirect
1141. C2×#123C2×D61semidirect
1142. C2×#123C2×D61semidirect
1153. C2×C22⋊Q8C2×D61semidirect
1154. C2×C22⋊Q8C2×D61semidirect
1155. C2×C22⋊Q8C2×D61semidirect
1156. C2×C22⋊Q8C2×D61semidirect
1185. C2×#121C2×D61semidirect
1186. C2×#121C2×D61semidirect
1232. C61C2×#3562semidirect
1327. #125C22×D61semidirect
1338. #124C22×D61semidirect
1339. #124C22×D61semidirect
1361. #123C22×D61semidirect
1362. #123C22×D61semidirect
1363. #123C22×D61semidirect
1374. C22⋊Q8C22×D61semidirect
1375. C22⋊Q8C22×D61semidirect
1376. C22⋊Q8C22×D61semidirect
1377. C22⋊Q8C22×D61semidirect
1406. #121C22×D61semidirect
1407. #121C22×D61semidirect
2023. C2#21460404direct (N × H)

Maximal subgroups

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

subgroupindex
#214604042
C2×#168405082
C2×#168405022
C2×#168405002
C2×#168404942
C2×#168404832
C2×#168404652
C2×#168404552
C2×#168404392
C2×#168404352
C2×#168404302
C2×#168404222
C2×#168404202
C2×#168404102
C2×#168404042
C2×#168404012
C2×#168403712
C2×#168403652
C2×#168403642
C2×#168403612
C2×#168403552
C2×#168403522
C2×#168403492
C2×#168403462
C2×#168403352
C2×#168403282
C2×#168403072
C2×#168402982
C2×#168402892
C2×C61×#5622
C2×#356261