Finite Group Databasebeta

← C2×#21460024 #30587215

Subgroups — C2×#21460024 #30587215

Order 15616.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460024C2132yesmaximal, direct product factor
2C2×#16840514C211yesmaximal, characteristic, complemented
3C2×#16840514C211yesmaximal, characteristic, complemented
4C2×#16840509C211yesmaximal, characteristic, complemented
5C2×#16840506C211yesmaximal, characteristic, complemented
6C2×#16840470C211yesmaximal, characteristic, complemented
7C2×#16840469C211yesmaximal, characteristic, complemented
8C2×#16840454C211yesmaximal, characteristic, complemented
9C2×#16840445C211yesmaximal, characteristic, complemented
10C2×#16840438C211yesmaximal, characteristic, complemented
11C2×#16840436C211yesmaximal, characteristic, complemented
12C2×#16840435C211yesmaximal, characteristic, complemented
13C2×#16840416C211yesmaximal, characteristic, complemented
14C2×#16840410C211yesmaximal, characteristic, complemented
15C2×#16840402C211yesmaximal, characteristic, complemented
16C2×#16840399C211yesmaximal, characteristic, complemented
17C2×#16840390C211yesmaximal, characteristic, complemented
18C2×#16840387C211yesmaximal, characteristic, complemented
19C2×#16840381C211yesmaximal, characteristic, complemented
20C2×#16840378C211yesmaximal, characteristic, complemented
21C2×#16840361C211yesmaximal, characteristic, complemented
22C2×#16840356C211yesmaximal, characteristic, complemented
23C2×#16840356C211yesmaximal, characteristic, complemented
24C2×#16840354C211yesmaximal, characteristic, complemented
25C2×#16840353C211yesmaximal, characteristic, complemented
26C2×#16840345C211yesmaximal, characteristic, complemented
27C2×#16840338C211yesmaximal, characteristic, complemented
28C2×#16840334C211yesmaximal, characteristic, complemented
29C2×#16840268C211yesmaximal, characteristic, complemented
30C22×#14519761C211yesmaximal, characteristic, complemented
31C22×#14519754C211yesmaximal, characteristic, complemented
32C2×C61×#551C211yesmaximal, characteristic, complemented
33C22×#11758222C2211yescharacteristic
34C22×#11758224C2211yescharacteristic
35C22×#11758224C2211yescharacteristic, complemented
36C23×Dic122C2211yescharacteristic, complemented
37C23×C22⋊D61C2211yescharacteristic
38C24×Dic61C2211yescharacteristic
39#16840514C22116yescomplemented
40#16840514C22116yescomplemented
41#16840509C22116yescomplemented
42#16840506C22116yescomplemented
43#16840470C22116yescomplemented
44#16840469C22116yescomplemented
45#16840454C22116yescomplemented
46#16840445C22116yescomplemented
47#16840438C22116yescomplemented
48#16840436C22116yescomplemented
49#16840435C22116yescomplemented
50#16840416C22116yescomplemented
51#16840410C22116yescomplemented
52#16840402C22116yescomplemented
53#16840399C22116yescomplemented
54#16840390C22116yescomplemented
55#16840387C22116yescomplemented
56#16840381C22116yescomplemented
57#16840378C22116yescomplemented
58#16840361C22116yescomplemented
59#16840356C22116yescomplemented
60#16840356C22116yescomplemented
61#16840354C22116yescomplemented
62#16840353C22116yescomplemented
63#16840345C22116yescomplemented
64#16840338C22116yescomplemented
65#16840334C22116yescomplemented
66C2×#14519777C2211yescharacteristic, complemented
67C2×#14519777C2211yescharacteristic, complemented
68C2×#14519777C2211yescharacteristic, complemented
69C2×#14519776C2211yescharacteristic, complemented
70C2×#14519776C2211yescharacteristic, complemented
71C2×#14519776C2211yescharacteristic, complemented
72C2×#14519772C2211yescharacteristic, complemented
73C2×#14519772C2211yescharacteristic, complemented
74C2×#14519772C2211yescharacteristic, complemented
75C2×#14519772C2211yescharacteristic, complemented
76C2×#14519772C2211yescharacteristic, complemented
77C2×#14519771C2211yescharacteristic, complemented
78C2×#14519771C2211yescharacteristic, complemented
79C2×#14519770C2211yescharacteristic, complemented
80C2×#14519770C2211yescharacteristic, complemented
81C2×#14519770C2211yescharacteristic, complemented
82C2×#14519769C2211yescharacteristic, complemented
83C2×#14519769C2211yescharacteristic, complemented
84C2×#14519768C2211yescharacteristic, complemented
85C2×#14519768C2211yescharacteristic, complemented
86C2×#14519768C2211yescharacteristic, complemented
87C2×#14519768C2211yescharacteristic, complemented
88C2×#14519768C2211yescharacteristic, complemented
89C2×#14519767C2211yescharacteristic, complemented
90C2×#14519767C2211yescharacteristic, complemented
91C2×#14519767C2211yescharacteristic, complemented
92C2×#14519765C2211yescharacteristic, complemented
93C2×#14519765C2211yescharacteristic, complemented
94C2×#14519763C2211yescharacteristic
95C2×#14519763C2211yescharacteristic
96C2×#14519763C2211yescharacteristic, complemented
97C2×#14519763C2211yescharacteristic, complemented
98C2×#14519763C2211yescharacteristic, complemented
99#16840268C22116yescomplemented
100C2×#14519762C2211yescharacteristic, complemented
101C2×#14519762C2211yescharacteristic, complemented
102C2×#14519762C2211yescharacteristic, complemented
103C2×#14519761C2211yescharacteristic
104C2×#14519761C2211yescharacteristic
105C2×#14519761C2211yescharacteristic
106C2×#14519761C2211yescharacteristic
107C2×#14519761C2211yescharacteristic
108C2×#14519761C2211yescharacteristic
109C2×#14519761C2211yescharacteristic
110C2×#14519761C2211yescharacteristic
111C2×#14519761C2211yescharacteristic
112C2×#14519761C22116yescomplemented
113C2×#14519761C2211yescharacteristic, complemented
114C2×#14519761C2211yescharacteristic, complemented
115C2×#14519761C2211yescharacteristic, complemented
116C2×#14519761C2211yescharacteristic, complemented
117C2×#14519760C2211yescharacteristic
118C2×#14519760C2211yescharacteristic
119C2×#14519760C2211yescharacteristic, complemented
120C2×#14519759C2211yescharacteristic
121C2×#14519759C2211yescharacteristic
122C2×#14519759C2211yescharacteristic, complemented
123C2×#14519759C2211yescharacteristic, complemented
124C2×#14519759C2211yescharacteristic, complemented
125C2×#14519758C2211yescharacteristic, complemented
126C2×#14519757C2211yescharacteristic, complemented
127C2×#14519757C2211yescharacteristic, complemented
128C2×#14519757C2211yescharacteristic, complemented
129C2×#14519757C2211yescharacteristic, complemented
130C2×#14519757C2211yescharacteristic, complemented
131C2×#14519757C2211yescharacteristic, complemented
132C2×#14519756C2211yescharacteristic
133C2×#14519756C2211yescharacteristic, complemented
134C2×#14519755C2211yescharacteristic, complemented
135C2×#14519755C2211yescharacteristic, complemented
136C2×#14519755C2211yescharacteristic, complemented
137C2×#14519755C2211yescharacteristic, complemented
138C2×#14519755C2211yescharacteristic, complemented
139C2×#14519754C2211yescharacteristic
140C2×#14519754C2211yescharacteristic
141C2×#14519754C2211yescharacteristic
142C2×#14519754C2211yescharacteristic
143C2×#14519754C2211yescharacteristic
144C2×#14519754C2211yescharacteristic
145C2×#14519754C2211yescharacteristic
146C2×#14519754C2211yescharacteristic, complemented
147C2×#14519754C2211yescharacteristic, complemented
148C2×#14519754C2211yescharacteristic, complemented
149C2×#14519754C2211yescharacteristic, complemented
150C2×#14519754C2211yescharacteristic, complemented
151C2×#14519754C2211yescharacteristic, complemented
152C2×#14519754C2211yescharacteristic, complemented
153C2×#14519754C2211yescharacteristic, complemented
154C2×#14519754C2211yescharacteristic, complemented
155C2×#14519754C22116yescomplemented
156C2×#14519753C2211yescharacteristic, complemented
157C2×#14519753C2211yescharacteristic, complemented
158C2×#14519753C2211yescharacteristic, complemented
159C2×#14519751C2211yescharacteristic
160C2×#14519751C2211yescharacteristic, complemented
161C2×#14519750C2211yescharacteristic
162C2×#14519750C2211yescharacteristic
163C2×#14519750C2211yescharacteristic, complemented
164C2×#14519749C2211yescharacteristic
165C2×#14519749C2211yescharacteristic
166C2×#14519749C2211yescharacteristic
167C2×#14519749C2211yescharacteristic, complemented
168C2×#14519748C2211yescharacteristic
169C2×#14519747C2211yescharacteristic
170C2×#14519746C2211yescharacteristic
171C2×#14519745C2211yescharacteristic
172C2×Q8×Dic61C2211yescharacteristic, complemented
173C2×C4×Dic122C2211yescharacteristic, complemented
174C2×C4×D244C2211yescharacteristic, complemented
175C2×D4×Dic61C2211yescharacteristic
176C2×D4×Dic61C2211yescharacteristic
177C2×D4×Dic61C2211yescharacteristic, complemented
178C2×C4×C22⋊D61C2211yescharacteristic
179C2×C4×C22⋊D61C2211yescharacteristic
180C2×#14519737C2211yescharacteristic
181C2×#14519737C2211yescharacteristic
182C2×#14519737C2211yescharacteristic
183C2×#14519737C2211yescharacteristic, complemented
184C2×#14519737C2211yescharacteristic, complemented
185C2×#14519737C2211yescharacteristic, complemented
186C2×#14519736C2211yescharacteristic
187C2×#14519735C2211yescharacteristic, complemented
188C2×#14519734C2211yescharacteristic, complemented
189C2×#14519733C2211yescharacteristic, complemented
190C2×#14519733C2211yescharacteristic, complemented
191C22×C4⋊Dic61C2211yescharacteristic
192C22×C4⋊Dic61C2211yescharacteristic
193C22×C4⋊Dic61C2211yescharacteristic, complemented
194C22×C4⋊Dic61C2211yescharacteristic, complemented
195C22×#11758196C2211yescharacteristic, complemented
196C22×#11758196C2211yescharacteristic, complemented
197C2×C4⋊C4×D61C2211yescharacteristic, complemented
198C22×C22⋊Dic61C2211yescharacteristic
199C22×#11758198C2211yescharacteristic
200C22×#11758198C2211yescharacteristic
201C2×C22⋊C4×D61C2211yescharacteristic
202C2×C22⋊C4×D61C2211yescharacteristic
203C61×#551C22116yescomplemented
204C2×#126×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#124×C61C2211yescharacteristic, complemented
207C2×#123×C61C2211yescharacteristic
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#123×C61C2211yescharacteristic, complemented
210C2×C22⋊Q8×C61C2211yescharacteristic
211C2×C22⋊Q8×C61C2211yescharacteristic, complemented
212C2×#120×C61C2211yescharacteristic
213C2×C4×D4×C61C2211yescharacteristic
214C2×C4×D4×C61C2211yescharacteristic, complemented
215C2×#117×C61C2211yescharacteristic
216C2×#117×C61C2211yescharacteristic, complemented
217C22×C22⋊C4×C61C2211yescharacteristic
218C22×C22⋊C4×C61C2211yescharacteristic
219C24×D61C2311yescharacteristic
220C2×#11758222—44no—
221C2×#11758222C2318yes—
222C2×#11758224—44no—
223C2×#11758224—44no—
224C2×#11758224C2318yes—
225C2×#11758224C2318yescomplemented
226C22×Dic122—44no—
227C22×Dic122C2311yescharacteristic
228C22×Dic122C2311yescharacteristic
229C22×Dic122C2311yescharacteristic
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2311yescharacteristic
232C22×Dic122C2311yescharacteristic
233C22×Dic122C2311yescharacteristic
234C22×Dic122C2311yescharacteristic
235C22×Dic122C2318yescomplemented
236C22×D244C2311yescharacteristic
237C22×D244C2311yescharacteristic
238C22×C22⋊D61—44no—
239C22×C22⋊D61C2311yescharacteristic
240C22×C22⋊D61C2311yescharacteristic
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⋊D61C2318yes—
250C23×Dic61—44no—
251C23×Dic61C2311yescharacteristic
252C23×Dic61C2311yescharacteristic
253C23×Dic61C2311yescharacteristic
254C23×Dic61C2311yescharacteristic
255C23×Dic61C2311yescharacteristic
256C23×Dic61C2311yescharacteristic
257C23×Dic61C2311yescharacteristic
258C23×Dic61C2311yescharacteristic
259C23×Dic61C2311yescharacteristic
260C23×Dic61C2311yescharacteristic
261C23×Dic61C2311yescharacteristic
262C23×Dic61C2318yes—
263C22×C4×D61C2311yescharacteristic
264C22×C4×D61C2311yescharacteristic
265C22×C4×D61C2311yescharacteristic
266C22×C4×D61C2311yescharacteristic
267C22×C4×D61C2311yescharacteristic
268C22×C4×D61C2311yescharacteristic
269C22×C4×D61C2311yescharacteristic
270#14519777C2318yescomplemented
271#14519777C2318yescomplemented
272#14519777C2318yescomplemented
273#14519776C2318yescomplemented
274#14519776C2318yescomplemented
275#14519776C2318yescomplemented
276#14519772C2318yescomplemented
277#14519772C2318yescomplemented
278#14519772C2318yescomplemented
279#14519772C2318yescomplemented
280#14519772C2318yescomplemented
281#14519771C2318yescomplemented
282#14519771C2318yescomplemented
283#14519770C2318yescomplemented
284#14519770C2318yescomplemented
285#14519770C2318yescomplemented
286#14519769C2318yescomplemented
287#14519769C2318yescomplemented
288#14519768C2318yescomplemented
289#14519768C2318yescomplemented
290#14519768C2318yescomplemented
291#14519768C2318yescomplemented
292#14519768C2318yescomplemented
293#14519767C2318yescomplemented
294#14519767C2318yescomplemented
295#14519767C2318yescomplemented
296#14519765C2318yescomplemented
297#14519765C2318yescomplemented
298#14519763C2318yes—
299#14519763C2318yes—
300#14519763C2318yescomplemented
301#14519763C2318yescomplemented
302#14519763C2318yescomplemented
303#14519762C2318yescomplemented
304#14519762C2318yescomplemented
305#14519762C2318yescomplemented
306#14519761C2318yes—
307#14519761C2318yes—
308#14519761C2318yes—
309#14519761C2318yes—
310#14519761C2318yes—
311#14519761C2318yes—
312#14519761C2318yes—
313#14519761C2318yes—
314#14519761C2318yes—
315#14519761C2318yescomplemented
316#14519761C2318yescomplemented
317#14519761C2318yescomplemented
318#14519761C2318yescomplemented
319#14519760C2318yes—
320#14519760C2318yes—
321#14519760C2318yescomplemented
322#14519759C2318yes—
323#14519759C2318yes—
324#14519759C2318yescomplemented
325#14519759C2318yescomplemented
326#14519759C2318yescomplemented
327#14519758C2318yescomplemented
328#14519757C2318yescomplemented
329#14519757C2318yescomplemented
330#14519757C2318yescomplemented
331#14519757C2318yescomplemented
332#14519757C2318yescomplemented
333#14519757C2318yescomplemented
334#14519756C2318yes—
335#14519756C2318yescomplemented
336#14519755C2318yescomplemented
337#14519755C2318yescomplemented
338#14519755C2318yescomplemented
339#14519755C2318yescomplemented
340#14519755C2318yescomplemented
341#14519754C2318yes—
342#14519754C2318yes—
343#14519754C2318yes—
344#14519754C2318yes—
345#14519754C2318yes—
346#14519754C2318yes—
347#14519754C2318yes—
348#14519754C2318yescomplemented
349#14519754C2318yescomplemented
350#14519754C2318yescomplemented
351#14519754C2318yescomplemented
352#14519754C2318yescomplemented
353#14519754C2318yescomplemented
354#14519754C2318yescomplemented
355#14519754C2318yescomplemented
356#14519754C2318yescomplemented
357#14519753C2318yescomplemented
358#14519753C2318yescomplemented
359#14519753C2318yescomplemented
360#14519751C2318yes—
361#14519751C2318yescomplemented
362#14519750C2318yes—
363#14519750C2318yes—
364#14519750C2318yescomplemented
365#14519749C2318yes—
366#14519749C2318yes—
367#14519749C2318yes—
368#14519749C2318yescomplemented
369#14519748C2318yes—
370#14519747C2318yes—
371#14519746C2318yes—
372#14519745C2318yes—
373Q8×Dic61C2318yescomplemented
374C4×Dic122C2318yescomplemented
375C4×D244C2318yescomplemented
376D4×Dic61C2318yes—
377D4×Dic61C2318yes—
378D4×Dic61C2318yescomplemented
379C4×C22⋊D61C2318yes—
380C4×C22⋊D61C2318yes—
381#14519737C2318yes—
382#14519737C2318yes—
383#14519737C2318yes—
384#14519737C2318yescomplemented
385#14519737C2318yescomplemented
386#14519737C2318yescomplemented
387#14519736C2318yes—
388#14519735C2318yescomplemented
389#14519734C2318yescomplemented
390#14519733C2318yescomplemented
391#14519733C2318yescomplemented
392C2×C4⋊Dic61C2311yescharacteristic
393C2×C4⋊Dic61C2311yescharacteristic
394C2×C4⋊Dic61C2318yes—
395C2×C4⋊Dic61C2311yescharacteristic
396C2×C4⋊Dic61C2311yescharacteristic
397C2×C4⋊Dic61C2311yescharacteristic
398C2×C4⋊Dic61C2311yescharacteristic
399C2×C4⋊Dic61C2311yescharacteristic
400C2×C4⋊Dic61C2311yescharacteristic
401C2×C4⋊Dic61C2318yes—
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×C4⋊Dic61C2311yescharacteristic
411C2×C4⋊Dic61C2311yescharacteristic
412C2×C4⋊Dic61C2311yescharacteristic
413C2×C4⋊Dic61C2311yescharacteristic
414C2×C4⋊Dic61C2318yescomplemented
415C2×C4⋊Dic61C2318yescomplemented
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2311yescharacteristic
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C2×#11758196C2311yescharacteristic
429C2×#11758196C2311yescharacteristic
430C2×#11758196C2311yescharacteristic
431C2×#11758196C2311yescharacteristic
432C2×#11758196C2311yescharacteristic
433C2×#11758196C2311yescharacteristic
434C2×#11758196C2311yescharacteristic
435C2×#11758196C2311yescharacteristic
436C2×#11758196C2311yescharacteristic
437C2×#11758196C2311yescharacteristic
438C2×#11758196C2318yescomplemented
439C2×#11758196C2318yescomplemented
440C4⋊C4×D61C2318yescomplemented
441C2×C22⋊Dic61C2311yescharacteristic
442C2×C22⋊Dic61C2311yescharacteristic
443C2×C22⋊Dic61C2311yescharacteristic
444C2×C22⋊Dic61C2311yescharacteristic
445C2×C22⋊Dic61C2311yescharacteristic
446C2×C22⋊Dic61C2318yes—
447C2×C22⋊Dic61C2311yescharacteristic
448C2×C22⋊Dic61C2311yescharacteristic
449C2×C22⋊Dic61C2311yescharacteristic
450C2×C22⋊Dic61C2311yescharacteristic
451C2×C22⋊Dic61C2311yescharacteristic
452C2×#11758198C2311yescharacteristic
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2311yescharacteristic
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2311yescharacteristic
459C2×#11758198C2311yescharacteristic
460C2×#11758198C2311yescharacteristic
461C2×#11758198C2311yescharacteristic
462C2×#11758198C2311yescharacteristic
463C2×#11758198C2311yescharacteristic
464C2×#11758198C2318yes—
465C2×#11758198C2318yes—
466C2×#11758198C2311yescharacteristic
467C2×#11758198C2311yescharacteristic
468C2×#11758198C2311yescharacteristic
469C2×#11758198C2311yescharacteristic
470C2×#11758198C2311yescharacteristic
471C2×#11758198C2311yescharacteristic
472C2×#11758198C2311yescharacteristic
473C2×#11758198C2311yescharacteristic
474C2×#11758198C2311yescharacteristic
475C2×#11758198C2311yescharacteristic
476C22⋊C4×D61C2318yes—
477C22⋊C4×D61C2318yes—
478C2×C4×Dic61C2311yescharacteristic
479C2×C4×Dic61C2311yescharacteristic
480C2×C4×Dic61C2311yescharacteristic
481C2×C4×Dic61C2311yescharacteristic
482C2×C4×Dic61C2311yescharacteristic
483C2×C4×Dic61C2311yescharacteristic
484C2×C4×Dic61C2311yescharacteristic
485C25×C61C2311yescharacteristic
486C22×Q8×C61C2311yescharacteristic
487C22×D4×C61C2311yescharacteristic
488C22×D4×C61C2311yescharacteristic
489C22×D4×C61C2311yescharacteristic
490C23×C4×C61C2311yescharacteristic
491C23×C4×C61C2311yescharacteristic
492C23×C4×C61C2311yescharacteristic
493C23×C4×C61C2311yescharacteristic
494C23×C4×C61C2311yescharacteristic
495#126×C61C2318yescomplemented
496#126×C61C2318yescomplemented
497#124×C61C2318yescomplemented
498#123×C61C2318yes—
499#123×C61C2318yescomplemented
500#123×C61C2318yescomplemented
501C22⋊Q8×C61C2318yes—
502C22⋊Q8×C61C2318yescomplemented
503#120×C61C2318yes—
504C4×D4×C61C2318yes—
505C4×D4×C61C2318yescomplemented
506#117×C61C2318yes—
507#117×C61C2318yescomplemented
508C2×C4⋊C4×C61C2311yescharacteristic
509C2×C4⋊C4×C61C2311yescharacteristic
510C2×C4⋊C4×C61C2311yescharacteristic
511C2×C4⋊C4×C61C2311yescharacteristic
512C2×C4⋊C4×C61C2311yescharacteristic
513C2×C4⋊C4×C61C2311yescharacteristic
514C2×C4⋊C4×C61C2311yescharacteristic
515C2×C4⋊C4×C61C2311yescharacteristic
516C2×C22⋊C4×C61C2311yescharacteristic
517C2×C22⋊C4×C61C2311yescharacteristic
518C2×C22⋊C4×C61C2318yes—
519C2×C22⋊C4×C61C2318yes—
520C2×C22⋊C4×C61C2311yescharacteristic
521C2×C22⋊C4×C61C2311yescharacteristic
522C2×C22⋊C4×C61C2311yescharacteristic
523C2×C22⋊C4×C61C2311yescharacteristic
524C2×C22⋊C4×C61C2311yescharacteristic
525C2×C22⋊C4×C61C2311yescharacteristic
526C2×C22⋊C4×C61C2311yescharacteristic
527C2×C22⋊C4×C61C2311yescharacteristic
528C2×C22⋊C4×C61C2311yescharacteristic
529C2×C22⋊C4×C61C2311yescharacteristic
530C2×C22⋊C4×C61C2311yescharacteristic
531C2×C22⋊C4×C61C2311yescharacteristic
532C2×C42×C61C2311yescharacteristic
533C2×C42×C61C2311yescharacteristic
534C2×C42×C61C2311yescharacteristic
535C24×C61—24no—
536C24×C61—24no—
537C24×C61—42no—
538C24×C61C2411yescharacteristic
539C24×C61C2411yescharacteristic
540C24×C61C2414yes—
541C24×C61C2411yescharacteristic
542C24×C61C2411yescharacteristic
543C23×D61—24no—
544C23×D61—42no—
545C23×D61—42no—
546C23×D61C2411yescharacteristic
547C23×D61C2411yescharacteristic
548C23×D61C2411yescharacteristic
549C23×D61C2414yes—
550C2×Q8×C61—42no—
551C2×Q8×C61C2414yes—
552C2×D4×C61—24no—
553C2×D4×C61—24no—
554C2×D4×C61—42no—
555C2×D4×C61C2414yes—
556C2×D4×C61C2414yes—
557C2×D4×C61C2414yes—
558C22×C4×C61—24no—
559C22×C4×C61—24no—
560C22×C4×C61—42no—
561C22×C4×C61—42no—
562C22×C4×C61—42no—
563C22×C4×C61C2411yescharacteristic
564C22×C4×C61C2411yescharacteristic
565C22×C4×C61C2411yescharacteristic
566C22×C4×C61C2411yescharacteristic
567C22×C4×C61C2411yescharacteristic
568C22×C4×C61C2411yescharacteristic
569C22×C4×C61C2411yescharacteristic
570C22×C4×C61C2411yescharacteristic
571C22×C4×C61C2414yes—
572C22×C4×C61C2411yescharacteristic
573C22×C4×C61C2411yescharacteristic
574C22×C4×C61C2411yescharacteristic
575C22×C4×C61C2414yes—
576C22×C4×C61C2414yes—
577C22×C4×C61C2414yes—
578C22×C4×C61C2414yes—
579C2×C22⋊D61—24no—
580C2×C22⋊D61—24no—
581C2×C22⋊D61—24no—
582C2×C22⋊D61—24no—
583C2×C22⋊D61—42no—
584C2×C22⋊D61—42no—
585C2×C22⋊D61—42no—
586C2×C22⋊D61—42no—
587C2×C22⋊D61—42no—
588C2×C22⋊D61—42no—
589C2×C22⋊D61—416no—
590C2×C22⋊D61C2414yes—
591C2×C22⋊D61C2414yes—
592C2×C22⋊D61C2414yes—
593C2×C22⋊D61C2414yes—
594C2×C22⋊D61C2414yes—
595C2×C22⋊D61C2414yes—
596C2×C22⋊D61C2414yes—
597C2×C22⋊D61C2414yes—
598C2×C22⋊D61C2414yes—
599C2×C22⋊D61C2414yes—
600C22×Dic61—24no—
601C22×Dic61—24no—
602C22×Dic61—24no—
603C22×Dic61—42no—
604C22×Dic61—42no—
605C22×Dic61—42no—
606C22×Dic61—42no—
607C22×Dic61—416no—
608C22×Dic61—42no—
609C22×Dic61—42no—
610C22×Dic61—42no—
611C22×Dic61—42no—
612C22×Dic61C2411yescharacteristic
613C22×Dic61C2411yescharacteristic
614C22×Dic61C2411yescharacteristic
615C22×Dic61C2411yescharacteristic
616C22×Dic61C2411yescharacteristic
617C22×Dic61C2411yescharacteristic
618C22×Dic61C2411yescharacteristic
619C22×Dic61C2411yescharacteristic
620C22×Dic61C2411yescharacteristic
621C22×Dic61C2411yescharacteristic
622C22×Dic61C2414yes—
623C22×Dic61C2414yes—
624C22×Dic61C2411yescharacteristic
625C22×Dic61C2411yescharacteristic
626C22×Dic61C2414yes—
627C22×Dic61C2411yescharacteristic
628C22×Dic61C2414yes—
629C22×Dic61C2414yes—
630C22×Dic61C2414yes—
631C22×Dic61C2414yes—
632C22×Dic61C2414yes—
633C22×Dic61C2414yes—
634C22×Dic61C2414yes—
635C22×Dic61C2414yes—
636#11758224—416no—
637#11758224—416no—
638#11758222—416no—
639C2×D244—42no—
640C2×D244—42no—
641C2×D244C2414yes—
642C2×D244C2414yes—
643C2×C4×D61—42no—
644C2×C4×D61—42no—
645C2×C4×D61—42no—
646C2×C4×D61—42no—
647C2×C4×D61—42no—
648C2×C4×D61—42no—
649C2×C4×D61—42no—
650C2×C4×D61C2414yes—
651C2×C4×D61C2414yes—
652C2×C4×D61C2414yes—
653C2×C4×D61C2414yes—
654C2×C4×D61C2414yes—
655C2×C4×D61C2414yes—
656C2×C4×D61C2414yes—
657C2×Dic122—42no—
658C2×Dic122—42no—
659C2×Dic122—42no—
660C2×Dic122—42no—
661C2×Dic122—416no—
662C2×Dic122—42no—
663C2×Dic122—42no—
664C2×Dic122—42no—
665C2×Dic122—42no—
666C2×Dic122C2414yes—
667C2×Dic122C2414yes—
668C2×Dic122C2414yes—
669C2×Dic122C2414yes—
670C2×Dic122C2414yes—
671C2×Dic122C2414yes—
672C2×Dic122C2414yes—
673C2×Dic122C2414yes—
674C4⋊C4×C61C2414yes—
675C4⋊C4×C61C2414yes—
676C4⋊C4×C61C2414yes—
677C4⋊C4×C61C2414yes—
678C4⋊C4×C61C2414yes—
679C4⋊C4×C61C2414yes—
680C4⋊C4×C61C2414yes—
681C4⋊C4×C61C2414yes—
682C22⋊C4×C61C2414yes—
683C22⋊C4×C61C2414yes—
684C22⋊C4×C61C2414yes—
685C22⋊C4×C61C2414yes—
686C22⋊C4×C61C2414yes—
687C22⋊C4×C61C2414yes—
688C22⋊C4×C61C2414yes—
689C22⋊C4×C61C2414yes—
690C22⋊C4×C61C2414yes—
691C22⋊C4×C61C2414yes—
692C22⋊C4×C61C2414yes—
693C22⋊C4×C61C2414yes—
694C22⋊C4×C61C2414yes—
695C22⋊C4×C61C2414yes—
696C42×C61C2414yes—
697C42×C61C2414yes—
698C42×C61C2414yes—
699C22⋊Dic61C2414yes—
700C22⋊Dic61C2414yes—
701C22⋊Dic61C2414yes—
702C22⋊Dic61C2414yes—
703C22⋊Dic61C2414yes—
704C22⋊Dic61C2414yes—
705C22⋊Dic61C2414yes—
706C22⋊Dic61C2414yes—
707C22⋊Dic61C2414yes—
708C22⋊Dic61C2414yes—
709#11758198C2414yes—
710#11758198C2414yes—
711#11758198C2414yes—
712#11758198C2414yes—
713#11758198C2414yes—
714#11758198C2414yes—
715#11758198C2414yes—
716#11758198C2414yes—
717#11758198C2414yes—
718#11758198C2414yes—
719#11758198C2414yes—
720#11758198C2414yes—
721#11758198C2414yes—
722#11758198C2414yes—
723#11758198C2414yes—
724#11758198C2414yes—
725#11758198C2414yes—
726#11758198C2414yes—
727#11758198C2414yes—
728#11758198C2414yes—
729#11758198C2414yes—
730#11758198C2414yes—
731C4⋊Dic61C2414yes—
732C4⋊Dic61C2414yes—
733C4⋊Dic61C2414yes—
734C4⋊Dic61C2414yes—
735C4⋊Dic61C2414yes—
736C4⋊Dic61C2414yes—
737C4⋊Dic61C2414yes—
738C4⋊Dic61C2414yes—
739C4⋊Dic61C2414yes—
740C4⋊Dic61C2414yes—
741C4⋊Dic61C2414yes—
742C4⋊Dic61C2414yes—
743C4⋊Dic61C2414yes—
744C4⋊Dic61C2414yes—
745C4⋊Dic61C2414yes—
746C4⋊Dic61C2414yes—
747C4⋊Dic61C2414yes—
748C4⋊Dic61C2414yes—
749C4⋊Dic61C2414yes—
750C4⋊Dic61C2414yes—
751#11758196C2414yes—
752#11758196C2414yes—
753#11758196C2414yes—
754#11758196C2414yes—
755#11758196C2414yes—
756#11758196C2414yes—
757#11758196C2414yes—
758#11758196C2414yes—
759#11758196C2414yes—
760#11758196C2414yes—
761#11758196C2414yes—
762#11758196C2414yes—
763#11758196C2414yes—
764#11758196C2414yes—
765#11758196C2414yes—
766#11758196C2414yes—
767#11758196C2414yes—
768#11758196C2414yes—
769#11758196C2414yes—
770#11758196C2414yes—
771#11758196C2414yes—
772#11758196C2414yes—
773C4×Dic61C2414yes—
774C4×Dic61C2414yes—
775C4×Dic61C2414yes—
776C4×Dic61C2414yes—
777C4×Dic61C2414yes—
778C4×Dic61C2414yes—
779C4×Dic61C2414yes—
780C23×C61—22no—
781C23×C61—22no—
782C23×C61—22no—
783C23×C61—22no—
784C23×C61—22no—
785C23×C61—28no—
786C23×C61—22no—
787C23×C61—22no—
788C23×C61—28no—
789C23×C61—22no—
790C23×C61—22no—
791C23×C61—22no—
792C23×C61—44no—
793C23×C61—416no—
794C23×C61H(5,𝔽2)14yes—
795C23×C612−1+414yes—
796C23×C61C2512yes—
797C23×C61C2512yes—
798C23×C61C2512yes—
799C23×C61C2512yes—
800C23×C61C2511yescharacteristic
801C22×D61—22no—
802C22×D61—22no—
803C22×D61—22no—
804C22×D61—22no—
805C22×D61—22no—
806C22×D61—22no—
807C22×D61—22no—
808C22×D61—22no—
809C22×D61—22no—
810C22×D61—28no—
811C22×D61—44no—
812C22×D61—44no—
813C22×D61—88no—
814C22×D61C2512yes—
815C22×D61C2512yes—
816C22×D61C2512yes—
817Q8×C61—44no—
818D4×C61—28no—
819D4×C61—28no—
820D4×C61—44no—
821C2×C4×C61—22no—
822C2×C4×C61—22no—
823C2×C4×C61—22no—
824C2×C4×C61—28no—
825C2×C4×C61—28no—
826C2×C4×C61—22no—
827C2×C4×C61—22no—
828C2×C4×C61—22no—
829C2×C4×C61—22no—
830C2×C4×C61—22no—
831C2×C4×C61—22no—
832C2×C4×C61—22no—
833C2×C4×C61—22no—
834C2×C4×C61—44no—
835C2×C4×C61—44no—
836C2×C4×C61—44no—
837C2×C4×C61C2512yes—
838C2×C4×C61C2512yes—
839C2×C4×C61C2512yes—
840C2×C4×C61C2512yes—
841C2×C4×C61C2512yes—
842C2×C4×C61C2512yes—
843C2×C4×C61C2512yes—
844C2×C4×C61C2512yes—
845C2×C4×C61C2512yes—
846C2×C4×C61C2512yes—
847C2×C4×C61C2512yes—
848C22⋊D61—28no—
849C22⋊D61—28no—
850C22⋊D61—28no—
851C22⋊D61—28no—
852C22⋊D61—44no—
853C22⋊D61—44no—
854C22⋊D61—44no—
855C22⋊D61—44no—
856C22⋊D61—44no—
857C22⋊D61—44no—
858C2×Dic61—22no—
859C2×Dic61—22no—
860C2×Dic61—22no—
861C2×Dic61—28no—
862C2×Dic61—28no—
863C2×Dic61—22no—
864C2×Dic61—22no—
865C2×Dic61—22no—
866C2×Dic61—22no—
867C2×Dic61—22no—
868C2×Dic61—22no—
869C2×Dic61—28no—
870C2×Dic61—22no—
871C2×Dic61—22no—
872C2×Dic61—22no—
873C2×Dic61—22no—
874C2×Dic61—44no—
875C2×Dic61—44no—
876C2×Dic61—44no—
877C2×Dic61—44no—
878C2×Dic61—44no—
879C2×Dic61—44no—
880C2×Dic61—44no—
881C2×Dic61—44no—
882C2×Dic61C2512yes—
883C2×Dic61C2512yes—
884C2×Dic61C2512yes—
885C2×Dic61C2512yes—
886C2×Dic61C2512yes—
887C2×Dic61C2512yes—
888C2×Dic61C2512yes—
889C2×Dic61C2512yes—
890C2×Dic61C2512yes—
891C2×Dic61C2512yes—
892C2×Dic61C2512yes—
893C2×Dic61C2512yes—
894C2×Dic61C2512yes—
895D244—44no—
896D244—44no—
897C4×D61—44no—
898C4×D61—44no—
899C4×D61—44no—
900C4×D61—44no—
901C4×D61—44no—
902C4×D61—44no—
903C4×D61—44no—
904Dic122—44no—
905Dic122—44no—
906Dic122—44no—
907Dic122—44no—
908Dic122—44no—
909Dic122—44no—
910Dic122—44no—
911Dic122—44no—
912C2×#3535—611nomaximal, Sylow
913C22×C61—22no—
914C22×C61—22no—
915C22×C61—22no—
916C22×C61—22no—
917C22×C61—28no—
918C22×C61—28no—
919C22×C61—22no—
920C22×C61—22no—
921C22×C61—22no—
922C22×C61—22no—
923C22×C61—22no—
924C22×C61—22no—
925C22×C61—416no—
926C22×C61—44no—
927C22×C61—44no—
928C22×C61C2×H(5,𝔽2)14yes—
929C22×C61C2×H(5,𝔽2)12yes—
930C22×C61C2×2−1+414yes—
931C22×C61C2×2−1+412yes—
932C22×C61#58512yes—
933C22×C61C2611yescharacteristic
934C2×D61—22no—
935C2×D61—22no—
936C2×D61—22no—
937C2×D61—22no—
938C2×D61—22no—
939C2×D61—22no—
940C2×D61—22no—
941C2×D61—22no—
942C2×D61—22no—
943C2×D61—44no—
944C2×D61—44no—
945C2×D61—44no—
946C2×D61—88no—
947C4×C61—22no—
948C4×C61—22no—
949C4×C61—22no—
950C4×C61—22no—
951C4×C61—22no—
952C4×C61—22no—
953C4×C61—22no—
954C4×C61—22no—
955C4×C61—22no—
956C4×C61—22no—
957C4×C61—22no—
958Dic61—22no—
959Dic61—22no—
960Dic61—22no—
961Dic61—22no—
962Dic61—22no—
963Dic61—22no—
964Dic61—22no—
965Dic61—22no—
966Dic61—22no—
967Dic61—22no—
968Dic61—22no—
969Dic61—22no—
970Dic61—22no—
971#3535—6132no—
972C2×#563—611no—
973C2×#563—611no—
974C2×#562—611no—
975C2×#562—611no—
976C2×#554—611no—
977C2×#554—611no—
978C2×#552—611no—
979C2×#552—611no—
980C2×#551—611no—
981C2×#551—611no—
982C2×#551—611no—
983C2×#551D6111yescharacteristic, complemented
984C2×#547—611no—
985C2×#547—611no—
986C2×#546—611no—
987C2×#546—611no—
988C2×#544—611no—
989C2×#543—611no—
990C2×#542—611no—
991C2×#542—611no—
992C2×#539—611no—
993C2×#539—611no—
994C2×#539—611no—
995C2×#539—611no—
996C2×#539—611no—
997C2×#538—611no—
998C2×#536—611no—
999C2×#536—611no—
1000C2×#525—611no—
1001C22×#123—611no—
1002C22×C22⋊Q8—611no—
1003C2×C61—24no—
1004C2×C61—24no—
1005C2×C61—42no—
1006C2×C61—42no—
1007C2×C61#353514yescomplemented
1008C2×C61C22×H(5,𝔽2)11yescharacteristic
1009C2×C61C22×2−1+411yescharacteristic
1010C2×C61C2×#58511yescharacteristic
1011D61—42no—
1012D61—42no—
1013D61—42no—
1014C22×#41—611no—
1015C22×#41—611no—
1016C22×#41—611no—
1017C23×Q8—611no—
1018C23×D4—611no—
1019C24×C4—611no—
1020#563—6116no—
1021#563—6116no—
1022#562—6116no—
1023#562—6116no—
1024#554—6116no—
1025#554—6116no—
1026#552—6116no—
1027#552—6116no—
1028#551—6116no—
1029#551—6116no—
1030#551—6116no—
1031#551C2×D61116yescomplemented
1032#547—6116no—
1033#547—6116no—
1034#546—6116no—
1035#546—6116no—
1036#544—6116no—
1037#543—6116no—
1038#542—6116no—
1039#542—6116no—
1040#539—6116no—
1041#539—6116no—
1042#539—6116no—
1043#539—6116no—
1044#539—6116no—
1045#538—6116no—
1046#536—6116no—
1047#536—6116no—
1048C2×C4⋊Q8—611no—
1049C2×C4⋊Q8—611no—
1050C2×C4⋊Q8—611no—
1051C2×C4⋊Q8—611no—
1052C2×C4⋊Q8—611no—
1053C2×C4⋊Q8—611no—
1054C2×#126—611no—
1055C2×#126—611no—
1056C2×#126—611no—
1057C2×#126—611no—
1058C2×#126—611no—
1059C2×#126—611no—
1060C2×#126—611no—
1061C2×#126—611no—
1062C2×#126—611no—
1063C2×#126—611no—
1064C2×#126C2×D6111yescharacteristic, complemented
1065C2×#126C2×D6111yescharacteristic, complemented
1066C2×#125—611no—
1067C2×#125—611no—
1068C2×#125—611no—
1069C2×#125—611no—
1070C2×#125—611no—
1071C2×#125—611no—
1072C2×#125—611no—
1073C2×#125—611no—
1074C2×#125—611no—
1075C2×#125—611no—
1076C2×#124—611no—
1077C2×#124—611no—
1078C2×#124—611no—
1079C2×#124—611no—
1080C2×#124—611no—
1081C2×#124—611no—
1082C2×#124—611no—
1083C2×#124C2×D6111yescharacteristic, complemented
1084#525—6116no—
1085C2×#123—611no—
1086C2×#123—611no—
1087C2×#123—611no—
1088C2×#123—611no—
1089C2×#123—611no—
1090C2×#123—611no—
1091C2×#123—611no—
1092C2×#123—611no—
1093C2×#123—611no—
1094C2×#123—611no—
1095C2×#123—611no—
1096C2×#123—611no—
1097C2×#123—611no—
1098C2×#123—611no—
1099C2×#123—611no—
1100C2×#123—611no—
1101C2×#123—611no—
1102C2×#123—611no—
1103C2×#123—611no—
1104C2×#123—611no—
1105C2×#123—611no—
1106C2×#123—6116no—
1107C2×#123—611no—
1108C2×#123—611no—
1109C2×#123—611no—
1110C2×#123—611no—
1111C2×#123C2×D6111yescharacteristic
1112C2×#123C2×D6111yescharacteristic, complemented
1113C2×#123C2×D6111yescharacteristic, complemented
1114C2×C22⋊Q8—611no—
1115C2×C22⋊Q8—611no—
1116C2×C22⋊Q8—611no—
1117C2×C22⋊Q8—611no—
1118C2×C22⋊Q8—611no—
1119C2×C22⋊Q8—611no—
1120C2×C22⋊Q8—611no—
1121C2×C22⋊Q8—611no—
1122C2×C22⋊Q8—611no—
1123C2×C22⋊Q8—611no—
1124C2×C22⋊Q8—611no—
1125C2×C22⋊Q8—611no—
1126C2×C22⋊Q8—611no—
1127C2×C22⋊Q8—611no—
1128C2×C22⋊Q8—611no—
1129C2×C22⋊Q8—611no—
1130C2×C22⋊Q8—611no—
1131C2×C22⋊Q8—611no—
1132C2×C22⋊Q8—611no—
1133C2×C22⋊Q8—611no—
1134C2×C22⋊Q8—611no—
1135C2×C22⋊Q8—611no—
1136C2×C22⋊Q8—611no—
1137C2×C22⋊Q8—611no—
1138C2×C22⋊Q8—611no—
1139C2×C22⋊Q8—611no—
1140C2×C22⋊Q8—611no—
1141C2×C22⋊Q8—6116no—
1142C2×C22⋊Q8—611no—
1143C2×C22⋊Q8—611no—
1144C2×C22⋊Q8—611no—
1145C2×C22⋊Q8—611no—
1146C2×C22⋊Q8—611no—
1147C2×C22⋊Q8C2×D6111yescharacteristic
1148C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1149C2×#121—611no—
1150C2×#121—611no—
1151C2×#121—611no—
1152C2×#121—611no—
1153C2×#121—611no—
1154C2×#121—611no—
1155C2×#121—611no—
1156C2×#121—611no—
1157C2×#121—611no—
1158C2×#121—611no—
1159C2×#120—611no—
1160C2×#120—611no—
1161C2×#120—611no—
1162C2×#120C2×D6111yescharacteristic
1163C2×C4×Q8—611no—
1164C2×C4×Q8—611no—
1165C2×C4×D4—611no—
1166C2×C4×D4—611no—
1167C2×C4×D4—611no—
1168C2×C4×D4—611no—
1169C2×C4×D4—611no—
1170C2×C4×D4—611no—
1171C2×C4×D4—611no—
1172C2×C4×D4—611no—
1173C2×C4×D4—611no—
1174C2×C4×D4—611no—
1175C2×C4×D4—611no—
1176C2×C4×D4—611no—
1177C2×C4×D4C2×D6111yescharacteristic
1178C2×C4×D4C2×D6111yescharacteristic, complemented
1179C2×#117—611no—
1180C2×#117—611no—
1181C2×#117—611no—
1182C2×#117—611no—
1183C2×#117—611no—
1184C2×#117C2×D6111yescharacteristic
1185C2×#117C2×D6111yescharacteristic, complemented
1186C22×C4⋊C4—611no—
1187C22×C4⋊C4—611no—
1188C22×C4⋊C4—611no—
1189C22×C4⋊C4—611no—
1190C22×C4⋊C4—611no—
1191C22×C4⋊C4—611no—
1192C22×C4⋊C4—611no—
1193C22×C22⋊C4—611no—
1194C22×C22⋊C4—611no—
1195C22×C22⋊C4—611no—
1196C22×C22⋊C4—611no—
1197C22×C22⋊C4—611no—
1198C22×C22⋊C4C2×D6111yescharacteristic
1199C22×C22⋊C4C2×D6111yescharacteristic
1200C61C2×#353511yescharacteristic, complemented, Sylow
1201C25—611no—
1202C25C22×D6111yescharacteristic
1203C2×#41—618no—
1204C2×#41—618no—
1205C2×#41—618no—
1206C2×#41—2444no—
1207C2×#41—2444no—
1208C2×#41—2444no—
1209C22×Q8—611no—
1210C22×Q8—611no—
1211C22×Q8—611no—
1212C22×Q8—611no—
1213C22×Q8—611no—
1214C22×Q8—611no—
1215C22×Q8—611no—
1216C22×Q8—611no—
1217C22×Q8—618no—
1218C22×Q8—2444no—
1219C22×Q8C22×D6111yescharacteristic
1220C22×D4—611no—
1221C22×D4—611no—
1222C22×D4—611no—
1223C22×D4—611no—
1224C22×D4—611no—
1225C22×D4—611no—
1226C22×D4—611no—
1227C22×D4—611no—
1228C22×D4—611no—
1229C22×D4—611no—
1230C22×D4—618no—
1231C22×D4—611no—
1232C22×D4—611no—
1233C22×D4—2444no—
1234C22×D4C22×D6111yescharacteristic
1235C22×D4C22×D6111yescharacteristic
1236C22×D4C22×D6111yescharacteristic
1237C23×C4—611no—
1238C23×C4—611no—
1239C23×C4—611no—
1240C23×C4—611no—
1241C23×C4—611no—
1242C23×C4—611no—
1243C23×C4—611no—
1244C23×C4—611no—
1245C23×C4—611no—
1246C23×C4—611no—
1247C23×C4—611no—
1248C23×C4—618no—
1249C23×C4—611no—
1250C23×C4—611no—
1251C23×C4—611no—
1252C23×C4—611no—
1253C23×C4—611no—
1254C23×C4—611no—
1255C23×C4—611no—
1256C23×C4—2444no—
1257C23×C4C22×D6111yescharacteristic
1258C23×C4C22×D6111yescharacteristic
1259C23×C4C22×D6111yescharacteristic
1260C23×C4C22×D6111yescharacteristic
1261C23×C4C22×D6111yescharacteristic
1262C4⋊Q8—618no—
1263C4⋊Q8—618no—
1264C4⋊Q8—618no—
1265C4⋊Q8—618no—
1266C4⋊Q8—618no—
1267C4⋊Q8—618no—
1268#126—618no—
1269#126—618no—
1270#126—618no—
1271#126—618no—
1272#126—618no—
1273#126—618no—
1274#126—618no—
1275#126—618no—
1276#126—618no—
1277#126—618no—
1278#126C22×D6118yescomplemented
1279#126C22×D6118yescomplemented
1280#125—618no—
1281#125—618no—
1282#125—618no—
1283#125—618no—
1284#125—618no—
1285#125—618no—
1286#125—618no—
1287#125—618no—
1288#125—618no—
1289#125—618no—
1290#124—618no—
1291#124—618no—
1292#124—618no—
1293#124—618no—
1294#124—618no—
1295#124—618no—
1296#124—618no—
1297#124C22×D6118yescomplemented
1298#123—618no—
1299#123—618no—
1300#123—618no—
1301#123—618no—
1302#123—618no—
1303#123—618no—
1304#123—618no—
1305#123—618no—
1306#123—618no—
1307#123—618no—
1308#123—618no—
1309#123—618no—
1310#123—618no—
1311#123—618no—
1312#123—618no—
1313#123—618no—
1314#123—618no—
1315#123—618no—
1316#123—618no—
1317#123—618no—
1318#123—618no—
1319#123—618no—
1320#123—618no—
1321#123—618no—
1322#123—618no—
1323#123C22×D6118yes—
1324#123C22×D6118yescomplemented
1325#123C22×D6118yescomplemented
1326C22⋊Q8—618no—
1327C22⋊Q8—618no—
1328C22⋊Q8—618no—
1329C22⋊Q8—618no—
1330C22⋊Q8—618no—
1331C22⋊Q8—618no—
1332C22⋊Q8—618no—
1333C22⋊Q8—618no—
1334C22⋊Q8—618no—
1335C22⋊Q8—618no—
1336C22⋊Q8—618no—
1337C22⋊Q8—618no—
1338C22⋊Q8—618no—
1339C22⋊Q8—618no—
1340C22⋊Q8—618no—
1341C22⋊Q8—618no—
1342C22⋊Q8—618no—
1343C22⋊Q8—618no—
1344C22⋊Q8—618no—
1345C22⋊Q8—618no—
1346C22⋊Q8—618no—
1347C22⋊Q8—618no—
1348C22⋊Q8—618no—
1349C22⋊Q8—618no—
1350C22⋊Q8—618no—
1351C22⋊Q8—618no—
1352C22⋊Q8—618no—
1353C22⋊Q8—618no—
1354C22⋊Q8—618no—
1355C22⋊Q8—618no—
1356C22⋊Q8—618no—
1357C22⋊Q8—618no—
1358C22⋊Q8C22×D6118yes—
1359C22⋊Q8C22×D6118yescomplemented
1360#121—618no—
1361#121—618no—
1362#121—618no—
1363#121—618no—
1364#121—618no—
1365#121—618no—
1366#121—618no—
1367#121—618no—
1368#121—618no—
1369#121—618no—
1370#120—618no—
1371#120—618no—
1372#120—618no—
1373#120C22×D6118yes—
1374C4×Q8—618no—
1375C4×Q8—618no—
1376C4×D4—618no—
1377C4×D4—618no—
1378C4×D4—618no—
1379C4×D4—618no—
1380C4×D4—618no—
1381C4×D4—618no—
1382C4×D4—618no—
1383C4×D4—618no—
1384C4×D4—618no—
1385C4×D4—618no—
1386C4×D4—618no—
1387C4×D4—618no—
1388C4×D4C22×D6118yes—
1389C4×D4C22×D6118yescomplemented
1390#117—618no—
1391#117—618no—
1392#117—618no—
1393#117—618no—
1394#117—618no—
1395#117C22×D6118yes—
1396#117C22×D6118yescomplemented
1397C2×C4⋊C4—611no—
1398C2×C4⋊C4—611no—
1399C2×C4⋊C4—611no—
1400C2×C4⋊C4—611no—
1401C2×C4⋊C4—611no—
1402C2×C4⋊C4—611no—
1403C2×C4⋊C4—611no—
1404C2×C4⋊C4—611no—
1405C2×C4⋊C4—611no—
1406C2×C4⋊C4—611no—
1407C2×C4⋊C4—611no—
1408C2×C4⋊C4—611no—
1409C2×C4⋊C4—611no—
1410C2×C4⋊C4—611no—
1411C2×C4⋊C4—611no—
1412C2×C4⋊C4—611no—
1413C2×C4⋊C4—611no—
1414C2×C4⋊C4—611no—
1415C2×C4⋊C4—611no—
1416C2×C4⋊C4—618no—
1417C2×C4⋊C4—618no—
1418C2×C4⋊C4—618no—
1419C2×C4⋊C4—611no—
1420C2×C4⋊C4—611no—
1421C2×C4⋊C4—611no—
1422C2×C4⋊C4—611no—
1423C2×C4⋊C4—618no—
1424C2×C4⋊C4—618no—
1425C2×C4⋊C4—618no—
1426C2×C4⋊C4—611no—
1427C2×C4⋊C4—611no—
1428C2×C4⋊C4—611no—
1429C2×C4⋊C4—611no—
1430C2×C4⋊C4—611no—
1431C2×C4⋊C4—611no—
1432C2×C4⋊C4—611no—
1433C2×C4⋊C4—611no—
1434C2×C4⋊C4—611no—
1435C2×C4⋊C4—611no—
1436C2×C4⋊C4—611no—
1437C2×C4⋊C4—611no—
1438C2×C4⋊C4—611no—
1439C2×C4⋊C4—611no—
1440C2×C4⋊C4—611no—
1441C2×C4⋊C4—611no—
1442C2×C4⋊C4—611no—
1443C2×C4⋊C4—611no—
1444C2×C4⋊C4—611no—
1445C2×C4⋊C4—618no—
1446C2×C4⋊C4C22×D6111yescharacteristic
1447C2×C4⋊C4C22×D6111yescharacteristic
1448C2×C4⋊C4C22×D6111yescharacteristic
1449C2×C4⋊C4C22×D6111yescharacteristic
1450C2×C4⋊C4C22×D6111yescharacteristic
1451C2×C4⋊C4C22×D6111yescharacteristic
1452C2×C4⋊C4C22×D6111yescharacteristic
1453C2×C4⋊C4C22×D6111yescharacteristic
1454C2×C22⋊C4—611no—
1455C2×C22⋊C4—611no—
1456C2×C22⋊C4—611no—
1457C2×C22⋊C4—611no—
1458C2×C22⋊C4—611no—
1459C2×C22⋊C4—618no—
1460C2×C22⋊C4—611no—
1461C2×C22⋊C4—611no—
1462C2×C22⋊C4—611no—
1463C2×C22⋊C4—611no—
1464C2×C22⋊C4—611no—
1465C2×C22⋊C4—611no—
1466C2×C22⋊C4—611no—
1467C2×C22⋊C4—611no—
1468C2×C22⋊C4—611no—
1469C2×C22⋊C4—611no—
1470C2×C22⋊C4—611no—
1471C2×C22⋊C4—611no—
1472C2×C22⋊C4—611no—
1473C2×C22⋊C4—611no—
1474C2×C22⋊C4—611no—
1475C2×C22⋊C4—611no—
1476C2×C22⋊C4—611no—
1477C2×C22⋊C4—618no—
1478C2×C22⋊C4—618no—
1479C2×C22⋊C4—611no—
1480C2×C22⋊C4—611no—
1481C2×C22⋊C4—611no—
1482C2×C22⋊C4—611no—
1483C2×C22⋊C4—611no—
1484C2×C22⋊C4—611no—
1485C2×C22⋊C4—611no—
1486C2×C22⋊C4—611no—
1487C2×C22⋊C4—611no—
1488C2×C22⋊C4—611no—
1489C2×C22⋊C4—618no—
1490C2×C22⋊C4—618no—
1491C2×C22⋊C4C22×D6111yescharacteristic
1492C2×C22⋊C4C22×D6111yescharacteristic
1493C2×C22⋊C4C22×D6111yescharacteristic
1494C2×C22⋊C4C22×D6111yescharacteristic
1495C2×C22⋊C4C22×D6111yescharacteristic
1496C2×C22⋊C4C22×D6111yescharacteristic
1497C2×C22⋊C4C22×D6111yescharacteristic
1498C2×C22⋊C4C22×D6118yes—
1499C2×C22⋊C4C22×D6111yescharacteristic
1500C2×C22⋊C4C22×D6111yescharacteristic
1501C2×C22⋊C4C22×D6118yes—
1502C2×C22⋊C4C22×D6111yescharacteristic
1503C2×C22⋊C4C22×D6111yescharacteristic
1504C2×C22⋊C4C22×D6111yescharacteristic
1505C2×C22⋊C4C22×D6111yescharacteristic
1506C2×C22⋊C4C22×D6111yescharacteristic
1507C2×C42—611no—
1508C2×C42—611no—
1509C2×C42—611no—
1510C2×C42—611no—
1511C2×C42—611no—
1512C2×C42—611no—
1513C2×C42—611no—
1514C2×C42C22×D6111yescharacteristic
1515C2×C42C22×D6111yescharacteristic
1516C2×C42C22×D6111yescharacteristic
1517C24—24no—
1518C24—24no—
1519C24—42no—
1520C24—611no—
1521C24—611no—
1522C24—611no—
1523C24—614no—
1524C24—1224no—
1525C24—2442no—
1526C24—2442no—
1527C24C23×D6111yescharacteristic
1528C24C23×D6111yescharacteristic
1529C24C23×D6114yes—
1530C24C23×D6111yescharacteristic
1531C24C23×D6111yescharacteristic
1532#41—24416no—
1533#41—24416no—
1534#41—24416no—
1535C2×Q8—42no—
1536C2×Q8—614no—
1537C2×Q8—614no—
1538C2×Q8—614no—
1539C2×Q8—614no—
1540C2×Q8—614no—
1541C2×Q8—614no—
1542C2×Q8—614no—
1543C2×Q8—614no—
1544C2×Q8—2442no—
1545C2×Q8—2442no—
1546C2×Q8—2442no—
1547C2×Q8—2442no—
1548C2×Q8—2442no—
1549C2×Q8—24416no—
1550C2×Q8—2442no—
1551C2×Q8—2442no—
1552C2×Q8—2442no—
1553C2×Q8C23×D6114yes—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—42no—
1557C2×D4—614no—
1558C2×D4—614no—
1559C2×D4—614no—
1560C2×D4—614no—
1561C2×D4—614no—
1562C2×D4—614no—
1563C2×D4—614no—
1564C2×D4—614no—
1565C2×D4—614no—
1566C2×D4—614no—
1567C2×D4—614no—
1568C2×D4—614no—
1569C2×D4—1224no—
1570C2×D4—1224no—
1571C2×D4—1224no—
1572C2×D4—1224no—
1573C2×D4—2442no—
1574C2×D4—2442no—
1575C2×D4—2442no—
1576C2×D4—2442no—
1577C2×D4—2442no—
1578C2×D4—2442no—
1579C2×D4—2442no—
1580C2×D4—2442no—
1581C2×D4—24416no—
1582C2×D4C23×D6114yes—
1583C2×D4C23×D6114yes—
1584C2×D4C23×D6114yes—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—614no—
1591C22×C4—614no—
1592C22×C4—614no—
1593C22×C4—611no—
1594C22×C4—611no—
1595C22×C4—611no—
1596C22×C4—611no—
1597C22×C4—611no—
1598C22×C4—611no—
1599C22×C4—611no—
1600C22×C4—611no—
1601C22×C4—611no—
1602C22×C4—611no—
1603C22×C4—611no—
1604C22×C4—611no—
1605C22×C4—611no—
1606C22×C4—614no—
1607C22×C4—614no—
1608C22×C4—614no—
1609C22×C4—614no—
1610C22×C4—614no—
1611C22×C4—614no—
1612C22×C4—614no—
1613C22×C4—614no—
1614C22×C4—614no—
1615C22×C4—614no—
1616C22×C4—614no—
1617C22×C4—614no—
1618C22×C4—614no—
1619C22×C4—614no—
1620C22×C4—614no—
1621C22×C4—1224no—
1622C22×C4—1224no—
1623C22×C4—1224no—
1624C22×C4—2442no—
1625C22×C4—2442no—
1626C22×C4—2442no—
1627C22×C4—2442no—
1628C22×C4—2442no—
1629C22×C4—2442no—
1630C22×C4—2442no—
1631C22×C4—2442no—
1632C22×C4—2442no—
1633C22×C4—2442no—
1634C22×C4—2442no—
1635C22×C4—24416no—
1636C22×C4—2442no—
1637C22×C4—2442no—
1638C22×C4—2442no—
1639C22×C4—2442no—
1640C22×C4C23×D6114yes—
1641C22×C4C23×D6114yes—
1642C22×C4C23×D6111yescharacteristic
1643C22×C4C23×D6111yescharacteristic
1644C22×C4C23×D6111yescharacteristic
1645C22×C4C23×D6111yescharacteristic
1646C22×C4C23×D6111yescharacteristic
1647C22×C4C23×D6111yescharacteristic
1648C22×C4C23×D6111yescharacteristic
1649C22×C4C23×D6111yescharacteristic
1650C22×C4C23×D6111yescharacteristic
1651C22×C4C23×D6111yescharacteristic
1652C22×C4C23×D6111yescharacteristic
1653C22×C4C23×D6114yes—
1654C22×C4C23×D6114yes—
1655C22×C4C23×D6114yes—
1656C4⋊C4—614no—
1657C4⋊C4—614no—
1658C4⋊C4—614no—
1659C4⋊C4—614no—
1660C4⋊C4—614no—
1661C4⋊C4—614no—
1662C4⋊C4—614no—
1663C4⋊C4—614no—
1664C4⋊C4—614no—
1665C4⋊C4—614no—
1666C4⋊C4—614no—
1667C4⋊C4—614no—
1668C4⋊C4—614no—
1669C4⋊C4—614no—
1670C4⋊C4—614no—
1671C4⋊C4—614no—
1672C4⋊C4—614no—
1673C4⋊C4—614no—
1674C4⋊C4—614no—
1675C4⋊C4—614no—
1676C4⋊C4—614no—
1677C4⋊C4—614no—
1678C4⋊C4—614no—
1679C4⋊C4—614no—
1680C4⋊C4—614no—
1681C4⋊C4—614no—
1682C4⋊C4—614no—
1683C4⋊C4—614no—
1684C4⋊C4—614no—
1685C4⋊C4—614no—
1686C4⋊C4—614no—
1687C4⋊C4—614no—
1688C4⋊C4—614no—
1689C4⋊C4—614no—
1690C4⋊C4—614no—
1691C4⋊C4—614no—
1692C4⋊C4—614no—
1693C4⋊C4—614no—
1694C4⋊C4—614no—
1695C4⋊C4—614no—
1696C4⋊C4—614no—
1697C4⋊C4—614no—
1698C4⋊C4C23×D6114yes—
1699C4⋊C4C23×D6114yes—
1700C4⋊C4C23×D6114yes—
1701C4⋊C4C23×D6114yes—
1702C4⋊C4C23×D6114yes—
1703C4⋊C4C23×D6114yes—
1704C4⋊C4C23×D6114yes—
1705C4⋊C4C23×D6114yes—
1706C22⋊C4—614no—
1707C22⋊C4—614no—
1708C22⋊C4—614no—
1709C22⋊C4—614no—
1710C22⋊C4—614no—
1711C22⋊C4—614no—
1712C22⋊C4—614no—
1713C22⋊C4—614no—
1714C22⋊C4—614no—
1715C22⋊C4—614no—
1716C22⋊C4—614no—
1717C22⋊C4—614no—
1718C22⋊C4—614no—
1719C22⋊C4—614no—
1720C22⋊C4—614no—
1721C22⋊C4—614no—
1722C22⋊C4—614no—
1723C22⋊C4—614no—
1724C22⋊C4—614no—
1725C22⋊C4—614no—
1726C22⋊C4—614no—
1727C22⋊C4—614no—
1728C22⋊C4—614no—
1729C22⋊C4—614no—
1730C22⋊C4—614no—
1731C22⋊C4—614no—
1732C22⋊C4—614no—
1733C22⋊C4—614no—
1734C22⋊C4—614no—
1735C22⋊C4—614no—
1736C22⋊C4—614no—
1737C22⋊C4—614no—
1738C22⋊C4C23×D6114yes—
1739C22⋊C4C23×D6114yes—
1740C22⋊C4C23×D6114yes—
1741C22⋊C4C23×D6114yes—
1742C22⋊C4C23×D6114yes—
1743C22⋊C4C23×D6114yes—
1744C22⋊C4C23×D6114yes—
1745C22⋊C4C23×D6114yes—
1746C22⋊C4C23×D6114yes—
1747C22⋊C4C23×D6114yes—
1748C22⋊C4C23×D6114yes—
1749C22⋊C4C23×D6114yes—
1750C22⋊C4C23×D6114yes—
1751C22⋊C4C23×D6114yes—
1752C42—614no—
1753C42—614no—
1754C42—614no—
1755C42—614no—
1756C42—614no—
1757C42—614no—
1758C42—614no—
1759C42C23×D6114yes—
1760C42C23×D6114yes—
1761C42C23×D6114yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—28no—
1768C23—22no—
1769C23—22no—
1770C23—28no—
1771C23—22no—
1772C23—22no—
1773C23—22no—
1774C23—44no—
1775C23—416no—
1776C23—612no—
1777C23—612no—
1778C23—612no—
1779C23—1228no—
1780C23—1222no—
1781C23—1222no—
1782C23—1222no—
1783C23—1222no—
1784C23—1222no—
1785C23—1222no—
1786C23—1222no—
1787C23—1222no—
1788C23—1222no—
1789C23—4888no—
1790C23—2444no—
1791C23—2444no—
1792C23#1451982314yes—
1793C23#1451982414yes—
1794C23C24×D6112yes—
1795C23C24×D6112yes—
1796C23C24×D6112yes—
1797C23C24×D6112yes—
1798C23C24×D6111yescharacteristic
1799Q8—44no—
1800Q8—2444no—
1801Q8—2444no—
1802Q8—2444no—
1803Q8—2444no—
1804Q8—2444no—
1805Q8—2444no—
1806Q8—2444no—
1807Q8—2444no—
1808D4—28no—
1809D4—28no—
1810D4—44no—
1811D4—1228no—
1812D4—1228no—
1813D4—1228no—
1814D4—1228no—
1815D4—2444no—
1816D4—2444no—
1817D4—2444no—
1818D4—2444no—
1819D4—2444no—
1820D4—2444no—
1821D4—2444no—
1822D4—2444no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—28no—
1826C2×C4—22no—
1827C2×C4—28no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—612no—
1840C2×C4—612no—
1841C2×C4—612no—
1842C2×C4—612no—
1843C2×C4—612no—
1844C2×C4—612no—
1845C2×C4—612no—
1846C2×C4—612no—
1847C2×C4—612no—
1848C2×C4—612no—
1849C2×C4—612no—
1850C2×C4—612no—
1851C2×C4—612no—
1852C2×C4—1222no—
1853C2×C4—1222no—
1854C2×C4—1228no—
1855C2×C4—1222no—
1856C2×C4—1222no—
1857C2×C4—1222no—
1858C2×C4—1228no—
1859C2×C4—1222no—
1860C2×C4—1228no—
1861C2×C4—1222no—
1862C2×C4—1222no—
1863C2×C4—1222no—
1864C2×C4—1222no—
1865C2×C4—1222no—
1866C2×C4—1222no—
1867C2×C4—1222no—
1868C2×C4—2444no—
1869C2×C4—2444no—
1870C2×C4—2444no—
1871C2×C4—2444no—
1872C2×C4—2444no—
1873C2×C4—2444no—
1874C2×C4—2444no—
1875C2×C4—2444no—
1876C2×C4—2444no—
1877C2×C4—2444no—
1878C2×C4—2444no—
1879C2×C4—2444no—
1880C2×C4—2444no—
1881C2×C4—2444no—
1882C2×C4—2444no—
1883C2×C4C24×D6112yes—
1884C2×C4C24×D6112yes—
1885C2×C4C24×D6112yes—
1886C2×C4C24×D6112yes—
1887C2×C4C24×D6112yes—
1888C2×C4C24×D6112yes—
1889C2×C4C24×D6112yes—
1890C2×C4C24×D6112yes—
1891C2×C4C24×D6112yes—
1892C2×C4C24×D6112yes—
1893C2×C4C24×D6112yes—
1894C22—28no—
1895C22—28no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—416no—
1907C22—44no—
1908C22—44no—
1909C22—1222no—
1910C22—1222no—
1911C22—1222no—
1912C22—1222no—
1913C22—1222no—
1914C22—1222no—
1915C22—1222no—
1916C22—1222no—
1917C22—1222no—
1918C22—4888no—
1919C22—2444no—
1920C22—2444no—
1921C22—2444no—
1922C22C2×#1451982314yes—
1923C22C2×#1451982312yes—
1924C22C2×#1451982414yes—
1925C22C2×#1451982412yes—
1926C22#1684059712yes—
1927C22C25×D6111yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—1222no—
1940C4—1222no—
1941C4—1222no—
1942C4—1222no—
1943C4—1222no—
1944C4—1222no—
1945C4—1222no—
1946C4—1222no—
1947C4—1222no—
1948C4—1222no—
1949C4—1222no—
1950C4—1222no—
1951C4—1222no—
1952C2—24no—
1953C2—24no—
1954C2—42no—
1955C2—42no—
1956C2—2442no—
1957C2—2442no—
1958C2—2442no—
1959C2#2146002414yesdirect product factor
1960C2C22×#1451982311yescharacteristic
1961C2C22×#1451982411yescharacteristic
1962C2C2×#1684059711yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#551C2
socleC23×C61C25
hypercenterC2×#551D61
hypocenterC61C2×#3535
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #21460024C2direct (N × H)
2. C2×#16840514C2semidirect
3. C2×#16840514C2semidirect
4. C2×#16840509C2semidirect
5. C2×#16840506C2semidirect
6. C2×#16840470C2semidirect
7. C2×#16840469C2semidirect
8. C2×#16840454C2semidirect
9. C2×#16840445C2semidirect
10. C2×#16840438C2semidirect
11. C2×#16840436C2semidirect
12. C2×#16840435C2semidirect
13. C2×#16840416C2semidirect
14. C2×#16840410C2semidirect
15. C2×#16840402C2semidirect
16. C2×#16840399C2semidirect
17. C2×#16840390C2semidirect
18. C2×#16840387C2semidirect
19. C2×#16840381C2semidirect
20. C2×#16840378C2semidirect
21. C2×#16840361C2semidirect
22. C2×#16840356C2semidirect
23. C2×#16840356C2semidirect
24. C2×#16840354C2semidirect
25. C2×#16840353C2semidirect
26. C2×#16840345C2semidirect
27. C2×#16840338C2semidirect
28. C2×#16840334C2semidirect
29. C2×#16840268C2semidirect
30. C22×#14519761C2semidirect
31. C22×#14519754C2semidirect
32. C2×C61×#551C2semidirect
35. C22×#11758224C22semidirect
36. C23×Dic122C22semidirect
39. #16840514C22semidirect
40. #16840514C22semidirect
41. #16840509C22semidirect
42. #16840506C22semidirect
43. #16840470C22semidirect
44. #16840469C22semidirect
45. #16840454C22semidirect
46. #16840445C22semidirect
47. #16840438C22semidirect
48. #16840436C22semidirect
49. #16840435C22semidirect
50. #16840416C22semidirect
51. #16840410C22semidirect
52. #16840402C22semidirect
53. #16840399C22semidirect
54. #16840390C22semidirect
55. #16840387C22semidirect
56. #16840381C22semidirect
57. #16840378C22semidirect
58. #16840361C22semidirect
59. #16840356C22semidirect
60. #16840356C22semidirect
61. #16840354C22semidirect
62. #16840353C22semidirect
63. #16840345C22semidirect
64. #16840338C22semidirect
65. #16840334C22semidirect
66. C2×#14519777C22semidirect
67. C2×#14519777C22semidirect
68. C2×#14519777C22semidirect
69. C2×#14519776C22semidirect
70. C2×#14519776C22semidirect
71. C2×#14519776C22semidirect
72. C2×#14519772C22semidirect
73. C2×#14519772C22semidirect
74. C2×#14519772C22semidirect
75. C2×#14519772C22semidirect
76. C2×#14519772C22semidirect
77. C2×#14519771C22semidirect
78. C2×#14519771C22semidirect
79. C2×#14519770C22semidirect
80. C2×#14519770C22semidirect
81. C2×#14519770C22semidirect
82. C2×#14519769C22semidirect
83. C2×#14519769C22semidirect
84. C2×#14519768C22semidirect
85. C2×#14519768C22semidirect
86. C2×#14519768C22semidirect
87. C2×#14519768C22semidirect
88. C2×#14519768C22semidirect
89. C2×#14519767C22semidirect
90. C2×#14519767C22semidirect
91. C2×#14519767C22semidirect
92. C2×#14519765C22semidirect
93. C2×#14519765C22semidirect
96. C2×#14519763C22semidirect
97. C2×#14519763C22semidirect
98. C2×#14519763C22semidirect
99. #16840268C22semidirect
100. C2×#14519762C22semidirect
101. C2×#14519762C22semidirect
102. C2×#14519762C22semidirect
112. C2×#14519761C22semidirect
113. C2×#14519761C22semidirect
114. C2×#14519761C22semidirect
115. C2×#14519761C22semidirect
116. C2×#14519761C22semidirect
119. C2×#14519760C22semidirect
122. C2×#14519759C22semidirect
123. C2×#14519759C22semidirect
124. C2×#14519759C22semidirect
125. C2×#14519758C22semidirect
126. C2×#14519757C22semidirect
127. C2×#14519757C22semidirect
128. C2×#14519757C22semidirect
129. C2×#14519757C22semidirect
130. C2×#14519757C22semidirect
131. C2×#14519757C22semidirect
133. C2×#14519756C22semidirect
134. C2×#14519755C22semidirect
135. C2×#14519755C22semidirect
136. C2×#14519755C22semidirect
137. C2×#14519755C22semidirect
138. C2×#14519755C22semidirect
146. C2×#14519754C22semidirect
147. C2×#14519754C22semidirect
148. C2×#14519754C22semidirect
149. C2×#14519754C22semidirect
150. C2×#14519754C22semidirect
151. C2×#14519754C22semidirect
152. C2×#14519754C22semidirect
153. C2×#14519754C22semidirect
154. C2×#14519754C22semidirect
155. C2×#14519754C22semidirect
156. C2×#14519753C22semidirect
157. C2×#14519753C22semidirect
158. C2×#14519753C22semidirect
160. C2×#14519751C22semidirect
163. C2×#14519750C22semidirect
167. C2×#14519749C22semidirect
172. C2×Q8×Dic61C22semidirect
173. C2×C4×Dic122C22semidirect
174. C2×C4×D244C22semidirect
177. C2×D4×Dic61C22semidirect
183. C2×#14519737C22semidirect
184. C2×#14519737C22semidirect
185. C2×#14519737C22semidirect
187. C2×#14519735C22semidirect
188. C2×#14519734C22semidirect
189. C2×#14519733C22semidirect
190. C2×#14519733C22semidirect
193. C22×C4⋊Dic61C22semidirect
194. C22×C4⋊Dic61C22semidirect
195. C22×#11758196C22semidirect
196. C22×#11758196C22semidirect
197. C2×C4⋊C4×D61C22semidirect
203. C61×#551C22semidirect
204. C2×#126×C61C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#124×C61C22semidirect
208. C2×#123×C61C22semidirect
209. C2×#123×C61C22semidirect
211. C2×C22⋊Q8×C61C22semidirect
214. C2×C4×D4×C61C22semidirect
216. C2×#117×C61C22semidirect
225. C2×#11758224C23semidirect
235. C22×Dic122C23semidirect
270. #14519777C23semidirect
271. #14519777C23semidirect
272. #14519777C23semidirect
273. #14519776C23semidirect
274. #14519776C23semidirect
275. #14519776C23semidirect
276. #14519772C23semidirect
277. #14519772C23semidirect
278. #14519772C23semidirect
279. #14519772C23semidirect
280. #14519772C23semidirect
281. #14519771C23semidirect
282. #14519771C23semidirect
283. #14519770C23semidirect
284. #14519770C23semidirect
285. #14519770C23semidirect
286. #14519769C23semidirect
287. #14519769C23semidirect
288. #14519768C23semidirect
289. #14519768C23semidirect
290. #14519768C23semidirect
291. #14519768C23semidirect
292. #14519768C23semidirect
293. #14519767C23semidirect
294. #14519767C23semidirect
295. #14519767C23semidirect
296. #14519765C23semidirect
297. #14519765C23semidirect
300. #14519763C23semidirect
301. #14519763C23semidirect
302. #14519763C23semidirect
303. #14519762C23semidirect
304. #14519762C23semidirect
305. #14519762C23semidirect
315. #14519761C23semidirect
316. #14519761C23semidirect
317. #14519761C23semidirect
318. #14519761C23semidirect
321. #14519760C23semidirect
324. #14519759C23semidirect
325. #14519759C23semidirect
326. #14519759C23semidirect
327. #14519758C23semidirect
328. #14519757C23semidirect
329. #14519757C23semidirect
330. #14519757C23semidirect
331. #14519757C23semidirect
332. #14519757C23semidirect
333. #14519757C23semidirect
335. #14519756C23semidirect
336. #14519755C23semidirect
337. #14519755C23semidirect
338. #14519755C23semidirect
339. #14519755C23semidirect
340. #14519755C23semidirect
348. #14519754C23semidirect
349. #14519754C23semidirect
350. #14519754C23semidirect
351. #14519754C23semidirect
352. #14519754C23semidirect
353. #14519754C23semidirect
354. #14519754C23semidirect
355. #14519754C23semidirect
356. #14519754C23semidirect
357. #14519753C23semidirect
358. #14519753C23semidirect
359. #14519753C23semidirect
361. #14519751C23semidirect
364. #14519750C23semidirect
368. #14519749C23semidirect
373. Q8×Dic61C23semidirect
374. C4×Dic122C23semidirect
375. C4×D244C23semidirect
378. D4×Dic61C23semidirect
384. #14519737C23semidirect
385. #14519737C23semidirect
386. #14519737C23semidirect
388. #14519735C23semidirect
389. #14519734C23semidirect
390. #14519733C23semidirect
391. #14519733C23semidirect
414. C2×C4⋊Dic61C23semidirect
415. C2×C4⋊Dic61C23semidirect
438. C2×#11758196C23semidirect
439. C2×#11758196C23semidirect
440. C4⋊C4×D61C23semidirect
495. #126×C61C23semidirect
496. #126×C61C23semidirect
497. #124×C61C23semidirect
499. #123×C61C23semidirect
500. #123×C61C23semidirect
502. C22⋊Q8×C61C23semidirect
505. C4×D4×C61C23semidirect
507. #117×C61C23semidirect
983. C2×#551D61semidirect
1007. C2×C61#3535semidirect
1031. #551C2×D61semidirect
1064. C2×#126C2×D61semidirect
1065. C2×#126C2×D61semidirect
1083. C2×#124C2×D61semidirect
1112. C2×#123C2×D61semidirect
1113. C2×#123C2×D61semidirect
1148. C2×C22⋊Q8C2×D61semidirect
1178. C2×C4×D4C2×D61semidirect
1185. C2×#117C2×D61semidirect
1200. C61C2×#3535semidirect
1278. #126C22×D61semidirect
1279. #126C22×D61semidirect
1297. #124C22×D61semidirect
1324. #123C22×D61semidirect
1325. #123C22×D61semidirect
1359. C22⋊Q8C22×D61semidirect
1389. C4×D4C22×D61semidirect
1396. #117C22×D61semidirect
1959. C2#21460024direct (N × H)

Maximal subgroups

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

subgroupindex
#214600242
C2×#168405142
C2×#168405092
C2×#168405062
C2×#168404702
C2×#168404692
C2×#168404542
C2×#168404452
C2×#168404382
C2×#168404362
C2×#168404352
C2×#168404162
C2×#168404102
C2×#168404022
C2×#168403992
C2×#168403902
C2×#168403872
C2×#168403812
C2×#168403782
C2×#168403612
C2×#168403562
C2×#168403542
C2×#168403532
C2×#168403452
C2×#168403382
C2×#168403342
C2×#168402682
C22×#145197612
C22×#145197542
C2×C61×#5512
C2×#353561