Finite Group Databasebeta

← C2×#21460240 #30587473

Subgroups — C2×#21460240 #30587473

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#21460240C2132yesmaximal, direct product factor
2C2×#16840516C211yesmaximal, characteristic, complemented
3C2×#16840515C211yesmaximal, characteristic, complemented
4C2×#16840500C211yesmaximal, characteristic, complemented
5C2×#16840500C211yesmaximal, characteristic, complemented
6C2×#16840476C211yesmaximal, characteristic, complemented
7C2×#16840475C211yesmaximal, characteristic, complemented
8C2×#16840457C211yesmaximal, characteristic, complemented
9C2×#16840455C211yesmaximal, characteristic, complemented
10C2×#16840445C211yesmaximal, characteristic, complemented
11C2×#16840444C211yesmaximal, characteristic, complemented
12C2×#16840441C211yesmaximal, characteristic, complemented
13C2×#16840435C211yesmaximal, characteristic, complemented
14C2×#16840421C211yesmaximal, characteristic, complemented
15C2×#16840418C211yesmaximal, characteristic, complemented
16C2×#16840404C211yesmaximal, characteristic, complemented
17C2×#16840401C211yesmaximal, characteristic, complemented
18C2×#16840366C211yesmaximal, characteristic, complemented
19C2×#16840364C211yesmaximal, characteristic, complemented
20C2×#16840362C211yesmaximal, characteristic, complemented
21C2×#16840349C211yesmaximal, characteristic, complemented
22C2×#16840348C211yesmaximal, characteristic, complemented
23C2×#16840345C211yesmaximal, characteristic, complemented
24C2×#16840344C211yesmaximal, characteristic, complemented
25C2×#16840341C211yesmaximal, characteristic, complemented
26C2×#16840339C211yesmaximal, characteristic, complemented
27C2×#16840334C211yesmaximal, characteristic, complemented
28C2×#16840325C211yesmaximal, characteristic, complemented
29C2×#16840307C211yesmaximal, characteristic, complemented
30C2×#16840292C211yesmaximal, characteristic, complemented
31C2×#16840289C211yesmaximal, characteristic, complemented
32C2×C61×#540C211yesmaximal, characteristic, complemented
33C22×#11758222C2211yescharacteristic
34C22×#11758224C2211yescharacteristic
35C22×#11758224C2211yescharacteristic
36C22×#11758224C2211yescharacteristic, complemented
37C23×Dic122C2211yescharacteristic, complemented
38C22×D4×D61C2211yescharacteristic
39#16840516C22116yescomplemented
40#16840515C22116yescomplemented
41#16840500C22116yescomplemented
42#16840500C22116yescomplemented
43#16840476C22116yescomplemented
44#16840475C22116yescomplemented
45#16840457C22116yescomplemented
46#16840455C22116yescomplemented
47#16840445C22116yescomplemented
48#16840444C22116yescomplemented
49#16840441C22116yescomplemented
50#16840435C22116yescomplemented
51#16840421C22116yescomplemented
52#16840418C22116yescomplemented
53#16840404C22116yescomplemented
54#16840401C22116yescomplemented
55#16840366C22116yescomplemented
56#16840364C22116yescomplemented
57#16840362C22116yescomplemented
58#16840349C22116yescomplemented
59#16840348C22116yescomplemented
60#16840345C22116yescomplemented
61#16840344C22116yescomplemented
62#16840341C22116yescomplemented
63#16840339C22116yescomplemented
64#16840334C22116yescomplemented
65#16840325C22116yescomplemented
66#16840307C22116yescomplemented
67C2×#14519776C2211yescharacteristic, complemented
68C2×#14519776C2211yescharacteristic, complemented
69C2×#14519776C2211yescharacteristic, complemented
70C2×#14519773C2211yescharacteristic
71C2×#14519773C2211yescharacteristic
72#16840292C22116yescomplemented
73#16840289C22116yescomplemented
74C2×#14519772C2211yescharacteristic
75C2×#14519772C2211yescharacteristic
76C2×#14519772C2211yescharacteristic
77C2×#14519772C2211yescharacteristic, complemented
78C2×#14519772C2211yescharacteristic, complemented
79C2×#14519772C2211yescharacteristic, complemented
80C2×#14519772C2211yescharacteristic, complemented
81C2×#14519771C2211yescharacteristic
82C2×#14519770C2211yescharacteristic, complemented
83C2×#14519770C2211yescharacteristic, complemented
84C2×#14519770C2211yescharacteristic, complemented
85C2×#14519770C2211yescharacteristic, complemented
86C2×#14519769C2211yescharacteristic, complemented
87C2×#14519767C2211yescharacteristic, complemented
88C2×#14519767C2211yescharacteristic, complemented
89C2×#14519767C2211yescharacteristic, complemented
90C2×#14519767C2211yescharacteristic, complemented
91C2×#14519765C2211yescharacteristic
92C2×#14519765C2211yescharacteristic, complemented
93C2×#14519764C2211yescharacteristic
94C2×#14519764C2211yescharacteristic, complemented
95C2×#14519763C2211yescharacteristic
96C2×#14519763C2211yescharacteristic
97C2×#14519763C2211yescharacteristic
98C2×#14519763C2211yescharacteristic
99C2×#14519763C2211yescharacteristic
100C2×#14519763C2211yescharacteristic, complemented
101C2×#14519763C2211yescharacteristic, complemented
102C2×#14519763C2211yescharacteristic, complemented
103C2×#14519762C2211yescharacteristic
104C2×#14519762C2211yescharacteristic
105C2×#14519762C2211yescharacteristic
106C2×#14519762C2211yescharacteristic
107C2×#14519761C2211yescharacteristic
108C2×#14519761C2211yescharacteristic
109C2×#14519761C2211yescharacteristic, complemented
110C2×#14519760C2211yescharacteristic
111C2×#14519760C2211yescharacteristic
112C2×#14519760C2211yescharacteristic, complemented
113C2×#14519759C2211yescharacteristic, complemented
114C2×#14519759C2211yescharacteristic, complemented
115C2×#14519758C2211yescharacteristic
116C2×#14519758C2211yescharacteristic, complemented
117C2×#14519758C2211yescharacteristic, complemented
118C2×#14519758C2211yescharacteristic, complemented
119C2×#14519757C2211yescharacteristic, complemented
120C2×#14519757C2211yescharacteristic, complemented
121C2×#14519756C2211yescharacteristic, complemented
122C2×#14519756C2211yescharacteristic, complemented
123C2×#14519755C2211yescharacteristic
124C2×#14519755C2211yescharacteristic
125C2×#14519755C2211yescharacteristic, complemented
126C2×#14519755C2211yescharacteristic, complemented
127C2×#14519755C2211yescharacteristic, complemented
128C2×#14519754C2211yescharacteristic, complemented
129C2×#14519754C2211yescharacteristic, complemented
130C2×#14519754C2211yescharacteristic, complemented
131C2×#14519754C2211yescharacteristic, complemented
132C2×#14519754C2211yescharacteristic, complemented
133C2×#14519752C2211yescharacteristic
134C2×#14519751C2211yescharacteristic
135C2×#14519751C2211yescharacteristic, complemented
136C2×#14519751C2211yescharacteristic, complemented
137C2×#14519750C2211yescharacteristic
138C2×#14519750C2211yescharacteristic
139C2×#14519750C2211yescharacteristic, complemented
140C2×#14519750C2211yescharacteristic, complemented
141C2×#14519750C2211yescharacteristic, complemented
142C2×#14519750C2211yescharacteristic, complemented
143C2×#14519749C2211yescharacteristic
144C2×#14519749C2211yescharacteristic
145C2×#14519749C2211yescharacteristic
146C2×#14519749C2211yescharacteristic
147C2×#14519749C2211yescharacteristic
148C2×#14519749C2211yescharacteristic
149C2×#14519749C2211yescharacteristic
150C2×#14519749C2211yescharacteristic, complemented
151C2×#14519749C2211yescharacteristic, complemented
152C2×#14519749C2211yescharacteristic, complemented
153C2×#14519749C2211yescharacteristic, complemented
154C2×#14519749C2211yescharacteristic, complemented
155C2×#14519749C2211yescharacteristic, complemented
156C2×#14519749C2211yescharacteristic, complemented
157C2×#14519748C2211yescharacteristic, complemented
158C2×#14519748C2211yescharacteristic, complemented
159C2×#14519748C2211yescharacteristic, complemented
160C2×#14519748C2211yescharacteristic, complemented
161C2×#14519747C2211yescharacteristic
162C2×#14519747C2211yescharacteristic
163C2×#14519745C2211yescharacteristic
164C2×#14519745C2211yescharacteristic
165C2×#14519745C2211yescharacteristic
166C2×#14519745C2211yescharacteristic
167C2×#14519745C2211yescharacteristic
168C2×#14519745C2211yescharacteristic
169C2×C4×Dic122C2211yescharacteristic, complemented
170C2×#14519742C2211yescharacteristic, complemented
171C2×D4×Dic61C2211yescharacteristic, complemented
172C2×D4×Dic61C2211yescharacteristic, complemented
173C2×D4×Dic61C2211yescharacteristic, complemented
174C2×D4×Dic61C2211yescharacteristic, complemented
175C2×#14519739C2211yescharacteristic
176C2×#14519739C2211yescharacteristic, complemented
177C2×C4×C22⋊D61C2211yescharacteristic
178C2×C4×C22⋊D61C2211yescharacteristic, complemented
179C2×C4×C22⋊D61C2211yescharacteristic, complemented
180C2×C4×C22⋊D61C2211yescharacteristic, complemented
181C2×C4×C22⋊D61C2211yescharacteristic, complemented
182C2×#14519737C2211yescharacteristic
183C2×#14519737C2211yescharacteristic
184C2×#14519737C2211yescharacteristic, complemented
185C2×#14519737C2211yescharacteristic, complemented
186C2×#14519737C2211yescharacteristic, complemented
187C2×#14519736C2211yescharacteristic, complemented
188C2×#14519735C2211yescharacteristic, complemented
189C2×#14519735C2211yescharacteristic, complemented
190C2×#14519734C2211yescharacteristic
191C2×#14519734C2211yescharacteristic, complemented
192C2×#14519734C2211yescharacteristic, complemented
193C2×#14519733C2211yescharacteristic, complemented
194C2×#14519733C2211yescharacteristic, 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×#540C22116yescomplemented
204C2×#127×C61C2211yescharacteristic
205C2×#125×C61C2211yescharacteristic, complemented
206C2×#123×C61C2211yescharacteristic
207C2×#123×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#123×C61C2211yescharacteristic, complemented
210C2×#121×C61C2211yescharacteristic
211C2×#121×C61C2211yescharacteristic, complemented
212C2×#121×C61C2211yescharacteristic, complemented
213C2×#121×C61C2211yescharacteristic, complemented
214C2×#121×C61C2211yescharacteristic, complemented
215C2×#121×C61C2211yescharacteristic, complemented
216C2×C4×D4×C61C2211yescharacteristic, complemented
217C2×C4×D4×C61C2211yescharacteristic, complemented
218C2×#117×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C2×#11758222—44no—
222C2×#11758222C2318yes—
223C2×#11758224—44no—
224C2×#11758224—44no—
225C2×#11758224—44no—
226C2×#11758224C2318yes—
227C2×#11758224C2318yes—
228C2×#11758224C2318yescomplemented
229C22×Dic122—44no—
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2311yescharacteristic
232C22×Dic122C2311yescharacteristic
233C22×Dic122C2311yescharacteristic
234C22×Dic122C2311yescharacteristic
235C22×Dic122C2311yescharacteristic
236C22×Dic122C2318yescomplemented
237C22×D244C2311yescharacteristic
238C22×D244C2311yescharacteristic
239C22×D244C2311yescharacteristic
240C22×D244C2311yescharacteristic
241C22×C22⋊D61C2311yescharacteristic
242C22×C22⋊D61C2311yescharacteristic
243C22×C22⋊D61C2311yescharacteristic
244C22×C22⋊D61C2311yescharacteristic
245C22×C22⋊D61C2311yescharacteristic
246C22×C22⋊D61C2311yescharacteristic
247C22×C22⋊D61C2311yescharacteristic
248C22×C22⋊D61C2311yescharacteristic
249C22×C22⋊D61C2311yescharacteristic
250C22×C22⋊D61C2311yescharacteristic
251C22×C22⋊D61C2311yescharacteristic
252C22×C22⋊D61C2311yescharacteristic
253C22×C22⋊D61C2311yescharacteristic
254C22×C22⋊D61C2311yescharacteristic
255C22×C22⋊D61C2311yescharacteristic
256C22×C22⋊D61C2311yescharacteristic
257C2×D4×D61—44no—
258C2×D4×D61C2318yes—
259C23×Dic61C2311yescharacteristic
260C23×Dic61C2311yescharacteristic
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
275#14519776C2318yescomplemented
276#14519776C2318yescomplemented
277#14519776C2318yescomplemented
278#14519773C2318yes—
279#14519773C2318yes—
280#14519772C2318yes—
281#14519772C2318yes—
282#14519772C2318yes—
283#14519772C2318yescomplemented
284#14519772C2318yescomplemented
285#14519772C2318yescomplemented
286#14519772C2318yescomplemented
287#14519771C2318yes—
288#14519770C2318yescomplemented
289#14519770C2318yescomplemented
290#14519770C2318yescomplemented
291#14519770C2318yescomplemented
292#14519769C2318yescomplemented
293#14519767C2318yescomplemented
294#14519767C2318yescomplemented
295#14519767C2318yescomplemented
296#14519767C2318yescomplemented
297#14519765C2318yes—
298#14519765C2318yescomplemented
299#14519764C2318yes—
300#14519764C2318yescomplemented
301#14519763C2318yes—
302#14519763C2318yes—
303#14519763C2318yes—
304#14519763C2318yes—
305#14519763C2318yes—
306#14519763C2318yescomplemented
307#14519763C2318yescomplemented
308#14519763C2318yescomplemented
309#14519762C2318yes—
310#14519762C2318yes—
311#14519762C2318yes—
312#14519762C2318yes—
313#14519761C2318yes—
314#14519761C2318yes—
315#14519761C2318yescomplemented
316#14519760C2318yes—
317#14519760C2318yes—
318#14519760C2318yescomplemented
319#14519759C2318yescomplemented
320#14519759C2318yescomplemented
321#14519758C2318yes—
322#14519758C2318yescomplemented
323#14519758C2318yescomplemented
324#14519758C2318yescomplemented
325#14519757C2318yescomplemented
326#14519757C2318yescomplemented
327#14519756C2318yescomplemented
328#14519756C2318yescomplemented
329#14519755C2318yes—
330#14519755C2318yes—
331#14519755C2318yescomplemented
332#14519755C2318yescomplemented
333#14519755C2318yescomplemented
334#14519754C2318yescomplemented
335#14519754C2318yescomplemented
336#14519754C2318yescomplemented
337#14519754C2318yescomplemented
338#14519754C2318yescomplemented
339#14519752C2318yes—
340#14519751C2318yes—
341#14519751C2318yescomplemented
342#14519751C2318yescomplemented
343#14519750C2318yes—
344#14519750C2318yes—
345#14519750C2318yescomplemented
346#14519750C2318yescomplemented
347#14519750C2318yescomplemented
348#14519750C2318yescomplemented
349#14519749C2318yes—
350#14519749C2318yes—
351#14519749C2318yes—
352#14519749C2318yes—
353#14519749C2318yes—
354#14519749C2318yes—
355#14519749C2318yes—
356#14519749C2318yescomplemented
357#14519749C2318yescomplemented
358#14519749C2318yescomplemented
359#14519749C2318yescomplemented
360#14519749C2318yescomplemented
361#14519749C2318yescomplemented
362#14519749C2318yescomplemented
363#14519748C2318yescomplemented
364#14519748C2318yescomplemented
365#14519748C2318yescomplemented
366#14519748C2318yescomplemented
367#14519747C2318yes—
368#14519747C2318yes—
369#14519745C2318yes—
370#14519745C2318yes—
371#14519745C2318yes—
372#14519745C2318yes—
373#14519745C2318yes—
374#14519745C2318yes—
375C4×Dic122C2318yescomplemented
376#14519742C2318yescomplemented
377D4×Dic61C2318yescomplemented
378D4×Dic61C2318yescomplemented
379D4×Dic61C2318yescomplemented
380D4×Dic61C2318yescomplemented
381#14519739C2318yes—
382#14519739C2318yescomplemented
383C4×C22⋊D61C2318yes—
384C4×C22⋊D61C2318yescomplemented
385C4×C22⋊D61C2318yescomplemented
386C4×C22⋊D61C2318yescomplemented
387C4×C22⋊D61C2318yescomplemented
388#14519737C2318yes—
389#14519737C2318yes—
390#14519737C2318yescomplemented
391#14519737C2318yescomplemented
392#14519737C2318yescomplemented
393#14519736C2318yescomplemented
394#14519735C2318yescomplemented
395#14519735C2318yescomplemented
396#14519734C2318yes—
397#14519734C2318yescomplemented
398#14519734C2318yescomplemented
399#14519733C2318yescomplemented
400#14519733C2318yescomplemented
401#14519733C2318yescomplemented
402C2×C4⋊Dic61C2311yescharacteristic
403C2×C4⋊Dic61C2311yescharacteristic
404C2×C4⋊Dic61C2311yescharacteristic
405C2×C4⋊Dic61C2311yescharacteristic
406C2×C4⋊Dic61C2311yescharacteristic
407C2×C4⋊Dic61C2311yescharacteristic
408C2×C4⋊Dic61C2311yescharacteristic
409C2×C4⋊Dic61C2311yescharacteristic
410C2×#11758196C2311yescharacteristic
411C2×#11758196C2311yescharacteristic
412C2×#11758196C2311yescharacteristic
413C2×#11758196C2311yescharacteristic
414C2×#11758196C2311yescharacteristic
415C2×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2311yescharacteristic
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C2×#11758196C2311yescharacteristic
429C2×#11758196C2311yescharacteristic
430C2×#11758196C2318yescomplemented
431C4⋊C4×D61C2318yescomplemented
432C2×C22⋊Dic61C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
442C2×C22⋊Dic61C2311yescharacteristic
443C2×C22⋊Dic61C2311yescharacteristic
444C2×C22⋊Dic61C2311yescharacteristic
445C2×C22⋊Dic61C2311yescharacteristic
446C2×#11758198C2311yescharacteristic
447C2×#11758198C2311yescharacteristic
448C2×#11758198C2311yescharacteristic
449C2×#11758198C2311yescharacteristic
450C2×#11758198C2311yescharacteristic
451C2×#11758198C2311yescharacteristic
452C2×#11758198C2311yescharacteristic
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2311yescharacteristic
456C2×#11758198C2318yes—
457C2×#11758198C2318yes—
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
471C2×#11758198C2311yescharacteristic
472C22⋊C4×D61C2318yes—
473C22⋊C4×D61C2318yes—
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×D4×C61C2311yescharacteristic
486C22×D4×C61C2311yescharacteristic
487C22×D4×C61C2311yescharacteristic
488C22×D4×C61C2311yescharacteristic
489C22×D4×C61C2311yescharacteristic
490C22×D4×C61C2311yescharacteristic
491C22×D4×C61C2311yescharacteristic
492C22×D4×C61C2311yescharacteristic
493C22×D4×C61C2311yescharacteristic
494C22×D4×C61C2311yescharacteristic
495C23×C4×C61C2311yescharacteristic
496C23×C4×C61C2311yescharacteristic
497C23×C4×C61C2311yescharacteristic
498C23×C4×C61C2311yescharacteristic
499C23×C4×C61C2311yescharacteristic
500#127×C61C2318yes—
501#125×C61C2318yescomplemented
502#123×C61C2318yes—
503#123×C61C2318yescomplemented
504#123×C61C2318yescomplemented
505#123×C61C2318yescomplemented
506#121×C61C2318yes—
507#121×C61C2318yescomplemented
508#121×C61C2318yescomplemented
509#121×C61C2318yescomplemented
510#121×C61C2318yescomplemented
511#121×C61C2318yescomplemented
512C4×D4×C61C2318yescomplemented
513C4×D4×C61C2318yescomplemented
514#117×C61C2318yescomplemented
515C2×C4⋊C4×C61C2311yescharacteristic
516C2×C4⋊C4×C61C2311yescharacteristic
517C2×C4⋊C4×C61C2311yescharacteristic
518C2×C4⋊C4×C61C2311yescharacteristic
519C2×C4⋊C4×C61C2311yescharacteristic
520C2×C4⋊C4×C61C2311yescharacteristic
521C2×C4⋊C4×C61C2311yescharacteristic
522C2×C4⋊C4×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×C42×C61C2311yescharacteristic
534C2×C42×C61C2311yescharacteristic
535C24×C61C2411yescharacteristic
536C24×C61C2411yescharacteristic
537C24×C61C2411yescharacteristic
538C24×C61C2411yescharacteristic
539C24×C61C2411yescharacteristic
540C23×D61—42no—
541C23×D61—42no—
542C23×D61—42no—
543C23×D61—42no—
544C23×D61—42no—
545C23×D61—42no—
546C23×D61C2411yescharacteristic
547C23×D61C2411yescharacteristic
548C23×D61C2411yescharacteristic
549C23×D61C2411yescharacteristic
550C23×D61C2414yes—
551C23×D61C2414yes—
552C2×D4×C61—42no—
553C2×D4×C61—42no—
554C2×D4×C61—42no—
555C2×D4×C61—42no—
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—
568C2×D4×C61C2414yes—
569C2×D4×C61C2414yes—
570C2×D4×C61C2414yes—
571C2×D4×C61C2414yes—
572C22×C4×C61—42no—
573C22×C4×C61—42no—
574C22×C4×C61—42no—
575C22×C4×C61—42no—
576C22×C4×C61—42no—
577C22×C4×C61C2411yescharacteristic
578C22×C4×C61C2411yescharacteristic
579C22×C4×C61C2411yescharacteristic
580C22×C4×C61C2411yescharacteristic
581C22×C4×C61C2411yescharacteristic
582C22×C4×C61C2411yescharacteristic
583C22×C4×C61C2411yescharacteristic
584C22×C4×C61C2411yescharacteristic
585C22×C4×C61C2411yescharacteristic
586C22×C4×C61C2411yescharacteristic
587C22×C4×C61C2414yes—
588C22×C4×C61C2414yes—
589C22×C4×C61C2414yes—
590C22×C4×C61C2414yes—
591C22×C4×C61C2414yes—
592C2×C22⋊D61—24no—
593C2×C22⋊D61—24no—
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⋊D61—42no—
604C2×C22⋊D61—42no—
605C2×C22⋊D61—42no—
606C2×C22⋊D61—42no—
607C2×C22⋊D61—42no—
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—
619C2×C22⋊D61C2414yes—
620C2×C22⋊D61C2414yes—
621C2×C22⋊D61C2414yes—
622C2×C22⋊D61C2414yes—
623C2×C22⋊D61C2414yes—
624C22×Dic61—24no—
625C22×Dic61—24no—
626C22×Dic61—24no—
627C22×Dic61—42no—
628C22×Dic61—42no—
629C22×Dic61—42no—
630C22×Dic61—42no—
631C22×Dic61—42no—
632C22×Dic61C2411yescharacteristic
633C22×Dic61C2411yescharacteristic
634C22×Dic61C2411yescharacteristic
635C22×Dic61C2411yescharacteristic
636C22×Dic61C2411yescharacteristic
637C22×Dic61C2411yescharacteristic
638C22×Dic61C2411yescharacteristic
639C22×Dic61C2411yescharacteristic
640C22×Dic61C2411yescharacteristic
641C22×Dic61C2411yescharacteristic
642C22×Dic61C2411yescharacteristic
643C22×Dic61C2414yes—
644C22×Dic61C2414yes—
645C22×Dic61C2414yes—
646C22×Dic61C2414yes—
647C22×Dic61C2414yes—
648C22×Dic61C2414yes—
649C22×Dic61C2414yes—
650C22×Dic61C2414yes—
651C22×Dic61C2411yescharacteristic
652#11758224—416no—
653#11758224—416no—
654#11758224—416no—
655D4×D61—416no—
656#11758222—416no—
657C2×D244—42no—
658C2×D244—42no—
659C2×D244—42no—
660C2×D244—42no—
661C2×D244C2414yes—
662C2×D244C2414yes—
663C2×D244C2414yes—
664C2×D244C2414yes—
665C2×C4×D61—24no—
666C2×C4×D61—24no—
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×D61C2414yes—
674C2×C4×D61C2414yes—
675C2×C4×D61C2414yes—
676C2×C4×D61C2414yes—
677C2×C4×D61C2414yes—
678C2×C4×D61C2414yes—
679C2×C4×D61C2414yes—
680C2×C4×D61C2414yes—
681C2×Dic122—24no—
682C2×Dic122—24no—
683C2×Dic122—416no—
684C2×Dic122—42no—
685C2×Dic122—42no—
686C2×Dic122—42no—
687C2×Dic122—42no—
688C2×Dic122C2414yes—
689C2×Dic122C2414yes—
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—
702C22⋊C4×C61C2414yes—
703C22⋊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—
712C42×C61C2414yes—
713C42×C61C2414yes—
714C22⋊Dic61C2414yes—
715C22⋊Dic61C2414yes—
716C22⋊Dic61C2414yes—
717C22⋊Dic61C2414yes—
718C22⋊Dic61C2414yes—
719C22⋊Dic61C2414yes—
720C22⋊Dic61C2414yes—
721C22⋊Dic61C2414yes—
722C22⋊Dic61C2414yes—
723C22⋊Dic61C2414yes—
724C22⋊Dic61C2414yes—
725C22⋊Dic61C2414yes—
726C22⋊Dic61C2414yes—
727C22⋊Dic61C2414yes—
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—
752C4⋊Dic61C2414yes—
753C4⋊Dic61C2414yes—
754C4⋊Dic61C2414yes—
755C4⋊Dic61C2414yes—
756C4⋊Dic61C2414yes—
757C4⋊Dic61C2414yes—
758C4⋊Dic61C2414yes—
759C4⋊Dic61C2414yes—
760#11758196C2414yes—
761#11758196C2414yes—
762#11758196C2414yes—
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—
779#11758196C2414yes—
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×C61—22no—
803C23×C61—22no—
804C23×C61—22no—
805C23×C61C2512yes—
806C23×C61C2512yes—
807C23×C61C2512yes—
808C23×C61C2512yes—
809C23×C61C2512yes—
810C23×C61C2511yescharacteristic
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—22no—
823C22×D61—44no—
824C22×D61—44no—
825C22×D61—44no—
826C22×D61—44no—
827C22×D61—44no—
828C22×D61—44no—
829C22×D61—88no—
830C22×D61—88no—
831C22×D61C2512yes—
832C22×D61C2512yes—
833C22×D61C2512yes—
834C22×D61C2512yes—
835D4×C61—44no—
836D4×C61—44no—
837D4×C61—44no—
838D4×C61—44no—
839D4×C61—44no—
840D4×C61—44no—
841D4×C61—44no—
842D4×C61—44no—
843D4×C61—44no—
844D4×C61—44no—
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—22no—
855C2×C4×C61—44no—
856C2×C4×C61—44no—
857C2×C4×C61—44no—
858C2×C4×C61—44no—
859C2×C4×C61—44no—
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—
869C2×C4×C61C2512yes—
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—
885C22⋊D61—44no—
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—22no—
896C2×Dic61—22no—
897C2×Dic61—28no—
898C2×Dic61—28no—
899C2×Dic61—28no—
900C2×Dic61—44no—
901C2×Dic61—44no—
902C2×Dic61—44no—
903C2×Dic61—44no—
904C2×Dic61—44no—
905C2×Dic61H(5,𝔽2)14yes—
906C2×Dic61C2512yes—
907C2×Dic61C2512yes—
908C2×Dic61C2512yes—
909C2×Dic61C2512yes—
910C2×Dic61C2512yes—
911C2×Dic61C2512yes—
912C2×Dic61C2512yes—
913C2×Dic61C2512yes—
914C2×Dic61C2512yes—
915C2×Dic61C2512yes—
916C2×Dic61C2512yes—
917C2×Dic61C2512yes—
918D244—44no—
919D244—44no—
920D244—44no—
921D244—44no—
922C4×D61—28no—
923C4×D61—28no—
924C4×D61—44no—
925C4×D61—44no—
926C4×D61—44no—
927C4×D61—44no—
928C4×D61—44no—
929C4×D61—44no—
930Dic122—28no—
931Dic122—28no—
932Dic122—44no—
933Dic122—44no—
934Dic122—44no—
935Dic122—44no—
936C2×#3551—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—22no—
950C22×C61—22no—
951C22×C61—22no—
952C22×C61—44no—
953C22×C61—44no—
954C22×C61—44no—
955C22×C61—44no—
956C22×C61—44no—
957C22×C61C2×H(5,𝔽2)12yes—
958C22×C61#58512yes—
959C22×C61#58512yes—
960C22×C61C2611yescharacteristic
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—22no—
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—
989Dic61—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#3551—6132no—
1002C2×#563—611no—
1003C2×#563—611no—
1004C2×#560—611no—
1005C2×#560—611no—
1006C2×#555—611no—
1007C2×#555—611no—
1008C2×#553—611no—
1009C2×#553—611no—
1010C2×#552—611no—
1011C2×#552—611no—
1012C2×#551—611no—
1013C2×#551—611no—
1014C2×#548—611no—
1015C2×#548—611no—
1016C2×#546—611no—
1017C2×#546—611no—
1018C2×#540—611no—
1019C2×#540—611no—
1020C2×#540—611no—
1021C2×#540D6111yescharacteristic, complemented
1022C2×#538—611no—
1023C2×#538—611no—
1024C2×#538—611no—
1025C2×#538—611no—
1026C2×#537—611no—
1027C2×#537—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—42no—
1038C2×C61#355114yescomplemented
1039C2×C61C22×H(5,𝔽2)11yescharacteristic
1040C2×C61C2×#58511yescharacteristic
1041C2×C61C2×#58511yescharacteristic
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#563—6116no—
1053#563—6116no—
1054#560—6116no—
1055#560—6116no—
1056#555—6116no—
1057#555—6116no—
1058#553—6116no—
1059#553—6116no—
1060#552—6116no—
1061#552—6116no—
1062#551—6116no—
1063#551—6116no—
1064#548—6116no—
1065#548—6116no—
1066#546—6116no—
1067#546—6116no—
1068#540—6116no—
1069#540—6116no—
1070#540—6116no—
1071#540C2×D61116yescomplemented
1072#538—6116no—
1073#538—6116no—
1074#538—6116no—
1075#538—6116no—
1076#537—6116no—
1077#537—6116no—
1078#536—6116no—
1079#535—6116no—
1080#532—6116no—
1081C2×C4⋊Q8—611no—
1082C2×C4⋊Q8—611no—
1083C2×C4⋊Q8—611no—
1084C2×#127—611no—
1085C2×#127—611no—
1086C2×#127C2×D6111yescharacteristic
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×#124—611no—
1118C2×#124—611no—
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×#123C2×D6111yescharacteristic
1136C2×#123C2×D6111yescharacteristic, complemented
1137C2×#123C2×D6111yescharacteristic, complemented
1138C2×#123C2×D6111yescharacteristic, complemented
1139C2×C22⋊Q8—611no—
1140C2×C22⋊Q8—611no—
1141C2×C22⋊Q8—611no—
1142C2×C22⋊Q8—611no—
1143C2×C22⋊Q8—611no—
1144C2×C22⋊Q8—611no—
1145C2×C22⋊Q8—611no—
1146C2×C22⋊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×#121—611no—
1154C2×#121—611no—
1155C2×#121—611no—
1156C2×#121—611no—
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×#121C2×D6111yescharacteristic
1182C2×#121C2×D6111yescharacteristic, complemented
1183C2×#121C2×D6111yescharacteristic, complemented
1184C2×#121C2×D6111yescharacteristic, complemented
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×D4—611no—
1198C2×C4×D4—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×D4C2×D6111yescharacteristic, complemented
1214C2×C4×D4C2×D6111yescharacteristic, complemented
1215C2×#117—611no—
1216C2×#117—611no—
1217C2×#117—611no—
1218C2×#117—611no—
1219C2×#117—611no—
1220C2×#117—611no—
1221C2×#117—611no—
1222C2×#117—611no—
1223C2×#117—611no—
1224C2×#117C2×D6111yescharacteristic, complemented
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×#355111yescharacteristic, 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—611no—
1244C22×Q8—611no—
1245C22×Q8—611no—
1246C22×Q8—611no—
1247C22×Q8—611no—
1248C22×Q8—611no—
1249C22×Q8—618no—
1250C22×Q8—2444no—
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—2444no—
1273C22×D4C22×D6111yescharacteristic
1274C22×D4C22×D6111yescharacteristic
1275C22×D4C22×D6111yescharacteristic
1276C22×D4C22×D6111yescharacteristic
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×C4C22×D6111yescharacteristic
1300C23×C4C22×D6111yescharacteristic
1301C23×C4C22×D6111yescharacteristic
1302C23×C4C22×D6111yescharacteristic
1303C23×C4C22×D6111yescharacteristic
1304C4⋊Q8—618no—
1305C4⋊Q8—618no—
1306C4⋊Q8—618no—
1307#127—618no—
1308#127—618no—
1309#127C22×D6118yes—
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#124—618no—
1339#124—618no—
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#123C22×D6118yes—
1357#123C22×D6118yescomplemented
1358#123C22×D6118yescomplemented
1359#123C22×D6118yescomplemented
1360C22⋊Q8—618no—
1361C22⋊Q8—618no—
1362C22⋊Q8—618no—
1363C22⋊Q8—618no—
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—
1374#121—618no—
1375#121—618no—
1376#121—618no—
1377#121—618no—
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#121C22×D6118yes—
1403#121C22×D6118yescomplemented
1404#121C22×D6118yescomplemented
1405#121C22×D6118yescomplemented
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×D4—618no—
1419C4×D4—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×D4C22×D6118yescomplemented
1435C4×D4C22×D6118yescomplemented
1436#117—618no—
1437#117—618no—
1438#117—618no—
1439#117—618no—
1440#117—618no—
1441#117—618no—
1442#117—618no—
1443#117—618no—
1444#117—618no—
1445#117C22×D6118yescomplemented
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—611no—
1453C2×C4⋊C4—618no—
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—611no—
1474C2×C4⋊C4—611no—
1475C2×C4⋊C4—618no—
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—611no—
1503C2×C22⋊C4—611no—
1504C2×C22⋊C4—611no—
1505C2×C22⋊C4—611no—
1506C2×C22⋊C4—611no—
1507C2×C22⋊C4—611no—
1508C2×C22⋊C4—618no—
1509C2×C22⋊C4—618no—
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—611no—
1523C2×C22⋊C4—611no—
1524C2×C22⋊C4—618no—
1525C2×C22⋊C4—618no—
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—618no—
1547C2×C42C22×D6111yescharacteristic
1548C2×C42C22×D6111yescharacteristic
1549C24—611no—
1550C24—611no—
1551C24—611no—
1552C24—611no—
1553C24—614no—
1554C24—614no—
1555C24—2442no—
1556C24—2442no—
1557C24—2442no—
1558C24—2442no—
1559C24—2442no—
1560C24—2442no—
1561C24C23×D6111yescharacteristic
1562C24C23×D6111yescharacteristic
1563C24C23×D6111yescharacteristic
1564C24C23×D6111yescharacteristic
1565C24C23×D6111yescharacteristic
1566#41—24416no—
1567#41—24416no—
1568#41—24416no—
1569#41—24416no—
1570C2×Q8—614no—
1571C2×Q8—614no—
1572C2×Q8—614no—
1573C2×Q8—614no—
1574C2×Q8—614no—
1575C2×Q8—614no—
1576C2×Q8—1224no—
1577C2×Q8—1224no—
1578C2×Q8—2442no—
1579C2×Q8—2442no—
1580C2×Q8—2442no—
1581C2×Q8—2442no—
1582C2×Q8—24416no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
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—2442no—
1616C2×D4—2442no—
1617C2×D4—2442no—
1618C2×D4—2442no—
1619C2×D4—24416no—
1620C2×D4—2442no—
1621C2×D4—2442no—
1622C2×D4—2442no—
1623C2×D4—2442no—
1624C2×D4—2442no—
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×D4C23×D6114yes—
1635C2×D4C23×D6114yes—
1636C2×D4C23×D6114yes—
1637C2×D4C23×D6114yes—
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—42no—
1649C22×C4—611no—
1650C22×C4—614no—
1651C22×C4—614no—
1652C22×C4—614no—
1653C22×C4—611no—
1654C22×C4—611no—
1655C22×C4—611no—
1656C22×C4—611no—
1657C22×C4—611no—
1658C22×C4—611no—
1659C22×C4—611no—
1660C22×C4—611no—
1661C22×C4—611no—
1662C22×C4—611no—
1663C22×C4—611no—
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—614no—
1677C22×C4—1224no—
1678C22×C4—1224no—
1679C22×C4—1224no—
1680C22×C4—1224no—
1681C22×C4—1224no—
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×D6114yes—
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⋊C4—614no—
1735C4⋊C4—614no—
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⋊C4—614no—
1781C22⋊C4—614no—
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—
1802C42C23×D6114yes—
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—22no—
1817C23—22no—
1818C23—22no—
1819C23—612no—
1820C23—612no—
1821C23—612no—
1822C23—612no—
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—4888no—
1836C23—4888no—
1837C23—2444no—
1838C23—2444no—
1839C23—2444no—
1840C23—2444no—
1841C23—2444no—
1842C23—2444no—
1843C23C24×D6112yes—
1844C23C24×D6112yes—
1845C23C24×D6112yes—
1846C23C24×D6112yes—
1847C23C24×D6112yes—
1848C23C24×D6111yescharacteristic
1849Q8—1228no—
1850Q8—1228no—
1851Q8—2444no—
1852Q8—2444no—
1853Q8—2444no—
1854Q8—2444no—
1855D4—44no—
1856D4—44no—
1857D4—44no—
1858D4—44no—
1859D4—44no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
1863D4—44no—
1864D4—44no—
1865D4—1228no—
1866D4—1228no—
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—44no—
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—612no—
1913C2×C4—1228no—
1914C2×C4—1228no—
1915C2×C4—1228no—
1916C2×C4—1228no—
1917C2×C4—1228no—
1918C2×C4—1222no—
1919C2×C4—1222no—
1920C2×C4—1222no—
1921C2×C4—1222no—
1922C2×C4—1222no—
1923C2×C4—1222no—
1924C2×C4—1222no—
1925C2×C4—1222no—
1926C2×C4—1222no—
1927C2×C4—1222no—
1928C2×C4—1222no—
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×C4—2444no—
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—22no—
1963C22—22no—
1964C22—22no—
1965C22—44no—
1966C22—44no—
1967C22—44no—
1968C22—44no—
1969C22—44no—
1970C22—1222no—
1971C22—1222no—
1972C22—1222no—
1973C22—1222no—
1974C22—1222no—
1975C22—1222no—
1976C22—1222no—
1977C22—1222no—
1978C22—1222no—
1979C22—1222no—
1980C22—1222no—
1981C22—1222no—
1982C22—4888no—
1983C22—4888no—
1984C22—2444no—
1985C22—2444no—
1986C22—2444no—
1987C22—2444no—
1988C22H(5,𝔽2)×D6112yes—
1989C22#1684059712yes—
1990C22#1684059812yes—
1991C22C25×D6111yescharacteristic
1992C4—22no—
1993C4—22no—
1994C4—22no—
1995C4—22no—
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—614no—
2003C4—1222no—
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—42no—
2019C2—2442no—
2020C2—2442no—
2021C2—2442no—
2022C2—2442no—
2023C2#2146024014yesdirect product factor
2024C2C2×H(5,𝔽2)×D6111yescharacteristic
2025C2C2×#1684059711yescharacteristic
2026C2C2×#1684059811yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#540C2
socleC23×C61C25
hypercenterC2×#540D61
hypocenterC61C2×#3551
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. #21460240C2direct (N × H)
2. C2×#16840516C2semidirect
3. C2×#16840515C2semidirect
4. C2×#16840500C2semidirect
5. C2×#16840500C2semidirect
6. C2×#16840476C2semidirect
7. C2×#16840475C2semidirect
8. C2×#16840457C2semidirect
9. C2×#16840455C2semidirect
10. C2×#16840445C2semidirect
11. C2×#16840444C2semidirect
12. C2×#16840441C2semidirect
13. C2×#16840435C2semidirect
14. C2×#16840421C2semidirect
15. C2×#16840418C2semidirect
16. C2×#16840404C2semidirect
17. C2×#16840401C2semidirect
18. C2×#16840366C2semidirect
19. C2×#16840364C2semidirect
20. C2×#16840362C2semidirect
21. C2×#16840349C2semidirect
22. C2×#16840348C2semidirect
23. C2×#16840345C2semidirect
24. C2×#16840344C2semidirect
25. C2×#16840341C2semidirect
26. C2×#16840339C2semidirect
27. C2×#16840334C2semidirect
28. C2×#16840325C2semidirect
29. C2×#16840307C2semidirect
30. C2×#16840292C2semidirect
31. C2×#16840289C2semidirect
32. C2×C61×#540C2semidirect
36. C22×#11758224C22semidirect
37. C23×Dic122C22semidirect
39. #16840516C22semidirect
40. #16840515C22semidirect
41. #16840500C22semidirect
42. #16840500C22semidirect
43. #16840476C22semidirect
44. #16840475C22semidirect
45. #16840457C22semidirect
46. #16840455C22semidirect
47. #16840445C22semidirect
48. #16840444C22semidirect
49. #16840441C22semidirect
50. #16840435C22semidirect
51. #16840421C22semidirect
52. #16840418C22semidirect
53. #16840404C22semidirect
54. #16840401C22semidirect
55. #16840366C22semidirect
56. #16840364C22semidirect
57. #16840362C22semidirect
58. #16840349C22semidirect
59. #16840348C22semidirect
60. #16840345C22semidirect
61. #16840344C22semidirect
62. #16840341C22semidirect
63. #16840339C22semidirect
64. #16840334C22semidirect
65. #16840325C22semidirect
66. #16840307C22semidirect
67. C2×#14519776C22semidirect
68. C2×#14519776C22semidirect
69. C2×#14519776C22semidirect
72. #16840292C22semidirect
73. #16840289C22semidirect
77. C2×#14519772C22semidirect
78. C2×#14519772C22semidirect
79. C2×#14519772C22semidirect
80. C2×#14519772C22semidirect
82. C2×#14519770C22semidirect
83. C2×#14519770C22semidirect
84. C2×#14519770C22semidirect
85. C2×#14519770C22semidirect
86. C2×#14519769C22semidirect
87. C2×#14519767C22semidirect
88. C2×#14519767C22semidirect
89. C2×#14519767C22semidirect
90. C2×#14519767C22semidirect
92. C2×#14519765C22semidirect
94. C2×#14519764C22semidirect
100. C2×#14519763C22semidirect
101. C2×#14519763C22semidirect
102. C2×#14519763C22semidirect
109. C2×#14519761C22semidirect
112. C2×#14519760C22semidirect
113. C2×#14519759C22semidirect
114. C2×#14519759C22semidirect
116. C2×#14519758C22semidirect
117. C2×#14519758C22semidirect
118. C2×#14519758C22semidirect
119. C2×#14519757C22semidirect
120. C2×#14519757C22semidirect
121. C2×#14519756C22semidirect
122. C2×#14519756C22semidirect
125. C2×#14519755C22semidirect
126. C2×#14519755C22semidirect
127. C2×#14519755C22semidirect
128. C2×#14519754C22semidirect
129. C2×#14519754C22semidirect
130. C2×#14519754C22semidirect
131. C2×#14519754C22semidirect
132. C2×#14519754C22semidirect
135. C2×#14519751C22semidirect
136. C2×#14519751C22semidirect
139. C2×#14519750C22semidirect
140. C2×#14519750C22semidirect
141. C2×#14519750C22semidirect
142. C2×#14519750C22semidirect
150. C2×#14519749C22semidirect
151. C2×#14519749C22semidirect
152. C2×#14519749C22semidirect
153. C2×#14519749C22semidirect
154. C2×#14519749C22semidirect
155. C2×#14519749C22semidirect
156. C2×#14519749C22semidirect
157. C2×#14519748C22semidirect
158. C2×#14519748C22semidirect
159. C2×#14519748C22semidirect
160. C2×#14519748C22semidirect
169. C2×C4×Dic122C22semidirect
170. C2×#14519742C22semidirect
171. C2×D4×Dic61C22semidirect
172. C2×D4×Dic61C22semidirect
173. C2×D4×Dic61C22semidirect
174. C2×D4×Dic61C22semidirect
176. C2×#14519739C22semidirect
178. C2×C4×C22⋊D61C22semidirect
179. C2×C4×C22⋊D61C22semidirect
180. C2×C4×C22⋊D61C22semidirect
181. C2×C4×C22⋊D61C22semidirect
184. C2×#14519737C22semidirect
185. C2×#14519737C22semidirect
186. C2×#14519737C22semidirect
187. C2×#14519736C22semidirect
188. C2×#14519735C22semidirect
189. C2×#14519735C22semidirect
191. C2×#14519734C22semidirect
192. C2×#14519734C22semidirect
193. C2×#14519733C22semidirect
194. C2×#14519733C22semidirect
195. C2×#14519733C22semidirect
196. C22×#11758196C22semidirect
197. C2×C4⋊C4×D61C22semidirect
202. C22×C4×Dic61C22semidirect
203. C61×#540C22semidirect
205. C2×#125×C61C22semidirect
207. C2×#123×C61C22semidirect
208. C2×#123×C61C22semidirect
209. C2×#123×C61C22semidirect
211. C2×#121×C61C22semidirect
212. C2×#121×C61C22semidirect
213. C2×#121×C61C22semidirect
214. C2×#121×C61C22semidirect
215. C2×#121×C61C22semidirect
216. C2×C4×D4×C61C22semidirect
217. C2×C4×D4×C61C22semidirect
218. C2×#117×C61C22semidirect
228. C2×#11758224C23semidirect
236. C22×Dic122C23semidirect
275. #14519776C23semidirect
276. #14519776C23semidirect
277. #14519776C23semidirect
283. #14519772C23semidirect
284. #14519772C23semidirect
285. #14519772C23semidirect
286. #14519772C23semidirect
288. #14519770C23semidirect
289. #14519770C23semidirect
290. #14519770C23semidirect
291. #14519770C23semidirect
292. #14519769C23semidirect
293. #14519767C23semidirect
294. #14519767C23semidirect
295. #14519767C23semidirect
296. #14519767C23semidirect
298. #14519765C23semidirect
300. #14519764C23semidirect
306. #14519763C23semidirect
307. #14519763C23semidirect
308. #14519763C23semidirect
315. #14519761C23semidirect
318. #14519760C23semidirect
319. #14519759C23semidirect
320. #14519759C23semidirect
322. #14519758C23semidirect
323. #14519758C23semidirect
324. #14519758C23semidirect
325. #14519757C23semidirect
326. #14519757C23semidirect
327. #14519756C23semidirect
328. #14519756C23semidirect
331. #14519755C23semidirect
332. #14519755C23semidirect
333. #14519755C23semidirect
334. #14519754C23semidirect
335. #14519754C23semidirect
336. #14519754C23semidirect
337. #14519754C23semidirect
338. #14519754C23semidirect
341. #14519751C23semidirect
342. #14519751C23semidirect
345. #14519750C23semidirect
346. #14519750C23semidirect
347. #14519750C23semidirect
348. #14519750C23semidirect
356. #14519749C23semidirect
357. #14519749C23semidirect
358. #14519749C23semidirect
359. #14519749C23semidirect
360. #14519749C23semidirect
361. #14519749C23semidirect
362. #14519749C23semidirect
363. #14519748C23semidirect
364. #14519748C23semidirect
365. #14519748C23semidirect
366. #14519748C23semidirect
375. C4×Dic122C23semidirect
376. #14519742C23semidirect
377. D4×Dic61C23semidirect
378. D4×Dic61C23semidirect
379. D4×Dic61C23semidirect
380. D4×Dic61C23semidirect
382. #14519739C23semidirect
384. C4×C22⋊D61C23semidirect
385. C4×C22⋊D61C23semidirect
386. C4×C22⋊D61C23semidirect
387. C4×C22⋊D61C23semidirect
390. #14519737C23semidirect
391. #14519737C23semidirect
392. #14519737C23semidirect
393. #14519736C23semidirect
394. #14519735C23semidirect
395. #14519735C23semidirect
397. #14519734C23semidirect
398. #14519734C23semidirect
399. #14519733C23semidirect
400. #14519733C23semidirect
401. #14519733C23semidirect
430. C2×#11758196C23semidirect
431. C4⋊C4×D61C23semidirect
484. C2×C4×Dic61C23semidirect
501. #125×C61C23semidirect
503. #123×C61C23semidirect
504. #123×C61C23semidirect
505. #123×C61C23semidirect
507. #121×C61C23semidirect
508. #121×C61C23semidirect
509. #121×C61C23semidirect
510. #121×C61C23semidirect
511. #121×C61C23semidirect
512. C4×D4×C61C23semidirect
513. C4×D4×C61C23semidirect
514. #117×C61C23semidirect
1021. C2×#540D61semidirect
1038. C2×C61#3551semidirect
1071. #540C2×D61semidirect
1106. C2×#125C2×D61semidirect
1136. C2×#123C2×D61semidirect
1137. C2×#123C2×D61semidirect
1138. C2×#123C2×D61semidirect
1182. C2×#121C2×D61semidirect
1183. C2×#121C2×D61semidirect
1184. C2×#121C2×D61semidirect
1185. C2×#121C2×D61semidirect
1186. C2×#121C2×D61semidirect
1213. C2×C4×D4C2×D61semidirect
1214. C2×C4×D4C2×D61semidirect
1224. C2×#117C2×D61semidirect
1232. C61C2×#3551semidirect
1327. #125C22×D61semidirect
1357. #123C22×D61semidirect
1358. #123C22×D61semidirect
1359. #123C22×D61semidirect
1403. #121C22×D61semidirect
1404. #121C22×D61semidirect
1405. #121C22×D61semidirect
1406. #121C22×D61semidirect
1407. #121C22×D61semidirect
1434. C4×D4C22×D61semidirect
1435. C4×D4C22×D61semidirect
1445. #117C22×D61semidirect
2023. C2#21460240direct (N × H)

Maximal subgroups

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

subgroupindex
#214602402
C2×#168405162
C2×#168405152
C2×#168405002
C2×#168404762
C2×#168404752
C2×#168404572
C2×#168404552
C2×#168404452
C2×#168404442
C2×#168404412
C2×#168404352
C2×#168404212
C2×#168404182
C2×#168404042
C2×#168404012
C2×#168403662
C2×#168403642
C2×#168403622
C2×#168403492
C2×#168403482
C2×#168403452
C2×#168403442
C2×#168403412
C2×#168403392
C2×#168403342
C2×#168403252
C2×#168403072
C2×#168402922
C2×#168402892
C2×C61×#5402
C2×#355161