Finite Group Databasebeta

← C2×#20257752 #27123923

Subgroups — C2×#20257752 #27123923

Order 12032.

8046 conjugacy classes of subgroups.

The subgroup lattice has 1440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257752C2132yesmaximal, direct product factor
2C2×#15689863C212yesmaximal, complemented
3C2×#15689862C212yesmaximal, complemented
4C2×#15689844C211yesmaximal, characteristic, complemented
5C2×#15689823C211yesmaximal, characteristic, complemented
6C2×#15689819C211yesmaximal, characteristic, complemented
7C2×#15689792C211yesmaximal, characteristic, complemented
8C2×#15689791C212yesmaximal, complemented
9C2×#15689773C211yesmaximal, characteristic, complemented
10C2×#15689766C211yesmaximal, characteristic, complemented
11C2×#15689763C212yesmaximal, complemented
12C2×D4×C22⋊D47C211yesmaximal, characteristic, complemented
13C2×#15689741C212yesmaximal, complemented
14C2×#15689711C212yesmaximal, complemented
15C2×#15689705C212yesmaximal, complemented
16C2×#15689703C211yesmaximal, characteristic, complemented
17C2×#15689701C211yesmaximal, characteristic, complemented
18C2×#15689690C211yesmaximal, characteristic, complemented
19C2×#15689689C211yesmaximal, characteristic, complemented
20C2×#15689688C212yesmaximal, complemented
21C2×#15689670C211yesmaximal, characteristic, complemented
22C2×#15689670C211yesmaximal, characteristic, complemented
23C2×#15689652C211yesmaximal, characteristic, complemented
24C2×C47×#546C211yesmaximal, characteristic, complemented
25C22×#10625354C2211yescharacteristic, complemented
26C22×#10625350C2212yescomplemented
27C22×#10625350C2211yescharacteristic, complemented
28C22×#10625350C2211yescharacteristic, complemented
29C22×#10625352C2212yescomplemented
30C23×C22⋊D47C2212yes—
31C22×D4×D47C2211yescharacteristic
32#15689863C22132yescomplemented
33#15689862C22132yescomplemented
34#15689844C22116yescomplemented
35#15689823C22116yescomplemented
36#15689819C22116yescomplemented
37#15689792C22116yescomplemented
38#15689791C22132yescomplemented
39#15689773C22116yescomplemented
40#15689766C22116yescomplemented
41#15689763C22132yescomplemented
42D4×C22⋊D47C22116yescomplemented
43#15689741C22132yescomplemented
44#15689711C22132yescomplemented
45#15689705C22132yescomplemented
46#15689703C22116yescomplemented
47#15689701C22116yescomplemented
48#15689690C22116yescomplemented
49#15689689C22116yescomplemented
50#15689688C22132yescomplemented
51#15689670C22116yescomplemented
52#15689670C22116yescomplemented
53C2×#13094023C2211yescharacteristic, complemented
54C2×#13094023C2211yescharacteristic, complemented
55C2×#13094020C2211yescharacteristic
56C2×#13094020C2211yescharacteristic
57C2×#13094020C2212yescomplemented
58C2×#13094020C2212yescomplemented
59C2×#13094020C2212yescomplemented
60#15689652C22116yescomplemented
61C2×#13094019C2212yescomplemented
62C2×#13094019C2212yescomplemented
63C2×#13094017C2212yescomplemented
64C2×#13094017C2212yescomplemented
65C2×#13094017C2212yescomplemented
66C2×#13094016C2211yescharacteristic, complemented
67C2×#13094011C2212yescomplemented
68C2×#13094010C2212yes—
69C2×#13094010C2212yescomplemented
70C2×#13094010C2211yescharacteristic, complemented
71C2×#13094010C2211yescharacteristic, complemented
72C2×#13094010C2212yescomplemented
73C2×#13094007C2212yescomplemented
74C2×#13094006C2212yescomplemented
75C2×#13094006C2212yescomplemented
76C2×#13094006C2212yescomplemented
77C2×#13094006C2212yescomplemented
78C2×#13094005C2212yescomplemented
79C2×#13094003C2212yescomplemented
80C2×#13094002C2212yescomplemented
81C2×#13094001C2212yescomplemented
82C2×#13094000C2211yescharacteristic, complemented
83C2×#13094000C2211yescharacteristic, complemented
84C2×#13093999C2212yescomplemented
85C2×#13093999C2211yescharacteristic, complemented
86C2×#13093999C2211yescharacteristic, complemented
87C2×#13093998C2211yescharacteristic
88C2×#13093998C2212yescomplemented
89C2×#13093998C2211yescharacteristic, complemented
90C2×#13093998C2212yescomplemented
91C2×#13093997C2211yescharacteristic
92C2×#13093997C2212yescomplemented
93C2×#13093997C2212yescomplemented
94C2×#13093997C2211yescharacteristic, complemented
95C2×#13093997C2212yescomplemented
96C2×#13093997C2212yescomplemented
97C2×#13093997C2212yescomplemented
98C2×#13093996C2212yes—
99C2×#13093996C2212yescomplemented
100C2×#13093996C2212yescomplemented
101C2×#13093996C2212yescomplemented
102C2×#13093995C2211yescharacteristic
103C2×#13093995C2211yescharacteristic
104C2×#13093995C2211yescharacteristic
105C2×#13093995C2211yescharacteristic, complemented
106C2×#13093995C2212yescomplemented
107C2×#13093995C2211yescharacteristic, complemented
108C2×#13093995C2211yescharacteristic, complemented
109C2×#13093994C2212yescomplemented
110C2×#13093994C2212yescomplemented
111C2×#13093993C2212yes—
112C2×#13093993C2212yescomplemented
113C2×#13093993C2212yescomplemented
114C2×#13093992C2212yes—
115C2×#13093992C2212yescomplemented
116C2×Q8×Dic47C2211yescharacteristic, complemented
117C2×#13093989C2212yescomplemented
118C2×C4×D188C2211yescharacteristic, complemented
119C2×C4×D188C2211yescharacteristic, complemented
120C2×D4×Dic47C2211yescharacteristic
121C2×C4×C22⋊D47C2211yescharacteristic
122C2×C4×C22⋊D47C2212yescomplemented
123C2×C4×C22⋊D47C2211yescharacteristic, complemented
124C2×C4×C22⋊D47C2212yescomplemented
125C2×C4×C22⋊D47C2212yescomplemented
126C2×(C22⋊D47)⋊C4C2212yescomplemented
127C2×(C22⋊D47)⋊C4C2212yescomplemented
128C2×#13093983C2211yescharacteristic, complemented
129C2×#13093982C2211yescharacteristic, complemented
130C2×#13093980C2212yescomplemented
131C22×C4⋊Dic47C2211yescharacteristic, complemented
132C2×C4⋊C4×D47C2211yescharacteristic, complemented
133C2×C22⋊C4×D47C2212yescomplemented
134C2×C42×D47C2211yescharacteristic, complemented
135C22×#41×C47C2211yescharacteristic, complemented
136C23×D4×C47C2211yescharacteristic
137C47×#546C22116yescomplemented
138C2×#124×C47C2211yescharacteristic
139C2×#123×C47C2212yescomplemented
140C2×C22⋊Q8×C47C2211yescharacteristic, complemented
141C2×#121×C47C2211yescharacteristic
142C2×#121×C47C2212yescomplemented
143C2×#120×C47C2212yescomplemented
144C2×C4×D4×C47C2211yescharacteristic, complemented
145C2×C4×D4×C47C2211yescharacteristic, complemented
146C22×C22⋊C4×C47C2212yescomplemented
147C24×D47C2312yes—
148C2×#10625354—44no—
149C2×#10625354C2318yescomplemented
150C2×#10625350—48no—
151C2×#10625350—44no—
152C2×#10625350—44no—
153C2×#10625350C23116yescomplemented
154C2×#10625350C2318yescomplemented
155C2×#10625350C2318yescomplemented
156C2×#10625352—48no—
157C2×#10625352C23116yescomplemented
158C22×Dic94C2312yes—
159C22×Dic94C2311yescharacteristic
160C22×Dic94C2311yescharacteristic
161C22×D188C2311yescharacteristic
162C22×D188C2311yescharacteristic
163C22×D188C2311yescharacteristic
164C22×D188C2312yes—
165C22×D188C2312yes—
166C22×D188C2311yescharacteristic
167C22×C22⋊D47—48no—
168C22×C22⋊D47C2311yescharacteristic
169C22×C22⋊D47C2312yes—
170C22×C22⋊D47C2311yescharacteristic
171C22×C22⋊D47C23116yes—
172C22×C22⋊D47C2312yes—
173C22×C22⋊D47C2312yes—
174C22×C22⋊D47C2312yes—
175C22×C22⋊D47C2312yes—
176C22×C22⋊D47C2312yes—
177C22×C22⋊D47C2311yescharacteristic
178C22×C22⋊D47C2312yes—
179C22×C22⋊D47C2312yes—
180C22×C22⋊D47C2311yescharacteristic
181C22×C22⋊D47C2311yescharacteristic
182C22×C22⋊D47C2312yes—
183C22×C22⋊D47C2312yes—
184C22×C22⋊D47C2311yescharacteristic
185C2×D4×D47—44no—
186C2×D4×D47C2318yes—
187C23×Dic47C2312yes—
188C23×Dic47C2312yes—
189C22×C4×D47C2311yescharacteristic
190C22×C4×D47C2311yescharacteristic
191C22×C4×D47C2311yescharacteristic
192C22×C4×D47C2311yescharacteristic
193C22×C4×D47C2311yescharacteristic
194C22×C4×D47C2312yes—
195C22×C4×D47C2312yes—
196C22×C4×D47C2312yes—
197#13094023C2318yescomplemented
198#13094023C2318yescomplemented
199#13094020C2318yes—
200#13094020C2318yes—
201#13094020C23116yescomplemented
202#13094020C23116yescomplemented
203#13094020C23116yescomplemented
204#13094019C23116yescomplemented
205#13094019C23116yescomplemented
206#13094017C23116yescomplemented
207#13094017C23116yescomplemented
208#13094017C23116yescomplemented
209#13094016C2318yescomplemented
210#13094011C23116yescomplemented
211#13094010C23116yes—
212#13094010C23116yescomplemented
213#13094010C23116yescomplemented
214#13094010C2318yescomplemented
215#13094010C2318yescomplemented
216#13094007C23116yescomplemented
217#13094006C23116yescomplemented
218#13094006C23116yescomplemented
219#13094006C23116yescomplemented
220#13094006C23116yescomplemented
221#13094005C23116yescomplemented
222#13094003C23116yescomplemented
223#13094002C23116yescomplemented
224#13094001C23116yescomplemented
225#13094000C2318yescomplemented
226#13094000C2318yescomplemented
227#13093999C23116yescomplemented
228#13093999C2318yescomplemented
229#13093999C2318yescomplemented
230#13093998C2318yes—
231#13093998C23116yescomplemented
232#13093998C2318yescomplemented
233#13093998C23116yescomplemented
234#13093997C2318yes—
235#13093997C23116yescomplemented
236#13093997C23116yescomplemented
237#13093997C2318yescomplemented
238#13093997C23116yescomplemented
239#13093997C23116yescomplemented
240#13093997C23116yescomplemented
241#13093996C23116yes—
242#13093996C23116yescomplemented
243#13093996C23116yescomplemented
244#13093996C23116yescomplemented
245#13093995C2318yes—
246#13093995C2318yes—
247#13093995C2318yes—
248#13093995C2318yescomplemented
249#13093995C23116yescomplemented
250#13093995C2318yescomplemented
251#13093995C2318yescomplemented
252#13093994C23116yescomplemented
253#13093994C23116yescomplemented
254#13093993C23116yes—
255#13093993C23116yescomplemented
256#13093993C23116yescomplemented
257#13093992C23116yes—
258#13093992C23116yescomplemented
259Q8×Dic47C2318yescomplemented
260#13093989C23116yescomplemented
261C4×D188C2318yescomplemented
262C4×D188C2318yescomplemented
263D4×Dic47C2318yes—
264C4×C22⋊D47C2318yes—
265C4×C22⋊D47C23116yescomplemented
266C4×C22⋊D47C2318yescomplemented
267C4×C22⋊D47C23116yescomplemented
268C4×C22⋊D47C23116yescomplemented
269(C22⋊D47)⋊C4C23116yescomplemented
270(C22⋊D47)⋊C4C23116yescomplemented
271#13093983C2318yescomplemented
272#13093982C2318yescomplemented
273#13093980C23116yescomplemented
274C2×C4⋊Dic47C2311yescharacteristic
275C2×C4⋊Dic47C2311yescharacteristic
276C2×C4⋊Dic47C2312yes—
277C2×C4⋊Dic47C2311yescharacteristic
278C2×C4⋊Dic47C2311yescharacteristic
279C2×C4⋊Dic47C2312yes—
280C2×C4⋊Dic47C2318yescomplemented
281C2×Dic47⋊C4C2312yes—
282C2×Dic47⋊C4C2312yes—
283C2×Dic47⋊C4C2312yes—
284C2×Dic47⋊C4C2312yes—
285C2×Dic47⋊C4C2311yescharacteristic
286C2×Dic47⋊C4C2311yescharacteristic
287C2×Dic47⋊C4C2312yes—
288C2×Dic47⋊C4C2312yes—
289C4⋊C4×D47C2318yescomplemented
290C2×C22⋊Dic47C2312yes—
291C2×C22⋊Dic47C2312yes—
292C2×C22⋊Dic47C2312yes—
293C2×C22⋊Dic47C2311yescharacteristic
294C2×C22⋊Dic47C2312yes—
295C2×C22⋊Dic47C2312yes—
296C2×C22⋊Dic47C2312yes—
297C2×C22⋊Dic47C2311yescharacteristic
298C2×C22⋊Dic47C2312yes—
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2312yes—
301C2×(C2×D47)⋊C4C2312yes—
302C2×(C2×D47)⋊C4C2312yes—
303C2×(C2×D47)⋊C4C2312yes—
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2312yes—
307C2×(C2×D47)⋊C4C2312yes—
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2312yes—
310C22⋊C4×D47C23116yescomplemented
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2312yes—
315C2×C4×Dic47C2312yes—
316C2×C4×Dic47C2312yes—
317C42×D47C2318yescomplemented
318C25×C47C2312yes—
319C2×#41×C47—44no—
320C2×#41×C47C2318yescomplemented
321C22×Q8×C47C2311yescharacteristic
322C22×D4×C47—44no—
323C22×D4×C47C2311yescharacteristic
324C22×D4×C47C2311yescharacteristic
325C22×D4×C47C2318yes—
326C22×D4×C47C2311yescharacteristic
327C22×D4×C47C2312yes—
328C22×D4×C47C2312yes—
329C22×D4×C47C2312yes—
330C23×C4×C47C2311yescharacteristic
331C23×C4×C47C2311yescharacteristic
332C23×C4×C47C2312yes—
333C23×C4×C47C2312yes—
334#124×C47C2318yes—
335#123×C47C23116yescomplemented
336C22⋊Q8×C47C2318yescomplemented
337#121×C47C2318yes—
338#121×C47C23116yescomplemented
339#120×C47C23116yescomplemented
340C4×D4×C47C2318yescomplemented
341C4×D4×C47C2318yescomplemented
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2312yes—
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2312yes—
347C2×C22⋊C4×C47C2312yes—
348C2×C22⋊C4×C47C2312yes—
349C2×C22⋊C4×C47C2312yes—
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2312yes—
352C2×C22⋊C4×C47C23116yescomplemented
353C2×C42×C47C2311yescharacteristic
354C24×C47—44no—
355C24×C47—44no—
356C24×C47—44no—
357C24×C47C2411yescharacteristic
358C24×C47C2412yes—
359C24×C47C2412yes—
360C24×C47C2411yescharacteristic
361C24×C47C2418yes—
362C23×D47—44no—
363C23×D47—44no—
364C23×D47—44no—
365C23×D47C2411yescharacteristic
366C23×D47C2412yes—
367C23×D47C2411yescharacteristic
368C23×D47C2411yescharacteristic
369C23×D47C2418yes—
370#41×C47—416no—
371C2×Q8×C47—24no—
372C2×Q8×C47C2414yes—
373C2×D4×C47—24no—
374C2×D4×C47—24no—
375C2×D4×C47—416no—
376C2×D4×C47—44no—
377C2×D4×C47—42no—
378C2×D4×C47—44no—
379C2×D4×C47—44no—
380C2×D4×C47C2414yes—
381C2×D4×C47C2414yes—
382C2×D4×C47C2414yes—
383C2×D4×C47C2418yes—
384C2×D4×C47C2418yes—
385C2×D4×C47C2418yes—
386C22×C4×C47—24no—
387C22×C4×C47—24no—
388C22×C4×C47—44no—
389C22×C4×C47—44no—
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2412yes—
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2412yes—
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2414yes—
397C22×C4×C47C2414yes—
398C22×C4×C47C2418yes—
399C22×C4×C47C2418yes—
400C22×C4×C47C2411yescharacteristic
401C2×C22⋊D47—24no—
402C2×C22⋊D47—28no—
403C2×C22⋊D47—24no—
404C2×C22⋊D47—432no—
405C2×C22⋊D47—44no—
406C2×C22⋊D47—44no—
407C2×C22⋊D47—44no—
408C2×C22⋊D47—44no—
409C2×C22⋊D47—44no—
410C2×C22⋊D47—44no—
411C2×C22⋊D47—44no—
412C2×C22⋊D47—44no—
413C2×C22⋊D47—44no—
414C2×C22⋊D47—42no—
415C2×C22⋊D47—42no—
416C2×C22⋊D47—42no—
417C2×C22⋊D47—42no—
418C2×C22⋊D47C2414yes—
419C2×C22⋊D47C2418yes—
420C2×C22⋊D47C2414yes—
421C2×C22⋊D47C2418yes—
422C2×C22⋊D47C2418yes—
423C2×C22⋊D47C2418yes—
424C2×C22⋊D47C2418yes—
425C2×C22⋊D47C2418yes—
426C2×C22⋊D47C2414yes—
427C2×C22⋊D47C2418yes—
428C2×C22⋊D47C2418yes—
429C2×C22⋊D47C2414yes—
430C2×C22⋊D47C2414yes—
431C2×C22⋊D47C2418yes—
432C2×C22⋊D47C2418yes—
433C2×C22⋊D47C2414yes—
434C22×Dic47—28no—
435C22×Dic47—44no—
436C22×Dic47C2412yes—
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2412yes—
441C22×Dic47C2412yes—
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2418yes—
444C22×Dic47C2418yes—
445C22×Dic47C2411yescharacteristic
446#10625354—416no—
447#10625352—432no—
448D4×D47—416no—
449#10625350—432no—
450#10625350—416no—
451#10625350—416no—
452C2×D188—24no—
453C2×D188—42no—
454C2×D188—44no—
455C2×D188—42no—
456C2×D188—42no—
457C2×D188—44no—
458C2×D188C2414yes—
459C2×D188C2414yes—
460C2×D188C2414yes—
461C2×D188C2418yes—
462C2×D188C2418yes—
463C2×D188C2414yes—
464C2×C4×D47—24no—
465C2×C4×D47—24no—
466C2×C4×D47—24no—
467C2×C4×D47—24no—
468C2×C4×D47—42no—
469C2×C4×D47—44no—
470C2×C4×D47—44no—
471C2×C4×D47—44no—
472C2×C4×D47C2414yes—
473C2×C4×D47C2414yes—
474C2×C4×D47C2414yes—
475C2×C4×D47C2414yes—
476C2×C4×D47C2414yes—
477C2×C4×D47C2418yes—
478C2×C4×D47C2418yes—
479C2×C4×D47C2418yes—
480C2×Dic94—28no—
481C2×Dic94—42no—
482C2×Dic94—42no—
483C2×Dic94C2418yes—
484C2×Dic94C2414yes—
485C2×Dic94C2414yes—
486C4⋊C4×C47C2414yes—
487C4⋊C4×C47C2414yes—
488C4⋊C4×C47C2418yes—
489C22⋊C4×C47C2414yes—
490C22⋊C4×C47C2418yes—
491C22⋊C4×C47C2418yes—
492C22⋊C4×C47C2418yes—
493C22⋊C4×C47C2418yes—
494C22⋊C4×C47C2414yes—
495C22⋊C4×C47C2418yes—
496C42×C47C2414yes—
497C22⋊Dic47C2418yes—
498C22⋊Dic47C2418yes—
499C22⋊Dic47C2418yes—
500C22⋊Dic47C2414yes—
501C22⋊Dic47C2418yes—
502C22⋊Dic47C2418yes—
503C22⋊Dic47C2418yes—
504C22⋊Dic47C2414yes—
505C22⋊Dic47C2418yes—
506(C2×D47)⋊C4C2414yes—
507(C2×D47)⋊C4C2418yes—
508(C2×D47)⋊C4C2418yes—
509(C2×D47)⋊C4C2418yes—
510(C2×D47)⋊C4C2418yes—
511(C2×D47)⋊C4C2414yes—
512(C2×D47)⋊C4C2414yes—
513(C2×D47)⋊C4C2418yes—
514(C2×D47)⋊C4C2418yes—
515(C2×D47)⋊C4C2414yes—
516(C2×D47)⋊C4C2418yes—
517C4⋊Dic47C2414yes—
518C4⋊Dic47C2414yes—
519C4⋊Dic47C2418yes—
520C4⋊Dic47C2414yes—
521C4⋊Dic47C2414yes—
522C4⋊Dic47C2418yes—
523Dic47⋊C4C2418yes—
524Dic47⋊C4C2418yes—
525Dic47⋊C4C2418yes—
526Dic47⋊C4C2418yes—
527Dic47⋊C4C2414yes—
528Dic47⋊C4C2414yes—
529Dic47⋊C4C2418yes—
530Dic47⋊C4C2418yes—
531C4×Dic47C2414yes—
532C4×Dic47C2414yes—
533C4×Dic47C2414yes—
534C4×Dic47C2418yes—
535C4×Dic47C2418yes—
536C4×Dic47C2418yes—
537C23×C47—24no—
538C23×C47—22no—
539C23×C47—24no—
540C23×C47—22no—
541C23×C47—22no—
542C23×C47—22no—
543C23×C47—24no—
544C23×C47—24no—
545C23×C47—22no—
546C23×C47—24no—
547C23×C47—24no—
548C23×C47—22no—
549C23×C47—48no—
550C23×C47—48no—
551C23×C47—48no—
552C23×C47—816no—
553C23×C47C2514yes—
554C23×C47C2512yes—
555C23×C47C2514yes—
556C23×C47C2512yes—
557C23×C47C2511yescharacteristic
558C22×D47—22no—
559C22×D47—22no—
560C22×D47—22no—
561C22×D47—22no—
562C22×D47—22no—
563C22×D47—24no—
564C22×D47—24no—
565C22×D47—22no—
566C22×D47—22no—
567C22×D47—22no—
568C22×D47—22no—
569C22×D47—24no—
570C22×D47—48no—
571C22×D47—48no—
572C22×D47—48no—
573C22×D47—816no—
574C22×D47C2512yes—
575C22×D47C2514yes—
576C22×D47C2512yes—
577C22×D47C2512yes—
578Q8×C47—28no—
579D4×C47—28no—
580D4×C47—28no—
581D4×C47—48no—
582D4×C47—48no—
583D4×C47—44no—
584D4×C47—48no—
585C2×C4×C47—24no—
586C2×C4×C47—22no—
587C2×C4×C47—22no—
588C2×C4×C47—22no—
589C2×C4×C47—24no—
590C2×C4×C47—22no—
591C2×C4×C47—28no—
592C2×C4×C47—28no—
593C2×C4×C47—48no—
594C2×C4×C47—48no—
595C2×C4×C47H(5,𝔽2)14yes—
596C2×C4×C47C2512yes—
597C2×C4×C47C2512yes—
598C2×C4×C47C2514yes—
599C2×C4×C47C2512yes—
600C2×C4×C47C2514yes—
601C2×C4×C47C2512yes—
602C2×C4×C47C2512yes—
603C22⋊D47—216no—
604C22⋊D47—28no—
605C22⋊D47—28no—
606C22⋊D47—48no—
607C22⋊D47—44no—
608C22⋊D47—44no—
609C22⋊D47—44no—
610C22⋊D47—44no—
611C22⋊D47—48no—
612C22⋊D47—48no—
613C22⋊D47—48no—
614C22⋊D47—48no—
615C22⋊D47—48no—
616C22⋊D47—48no—
617C22⋊D47—48no—
618C22⋊D47—48no—
619C2×Dic47—24no—
620C2×Dic47—22no—
621C2×Dic47—22no—
622C2×Dic47—22no—
623C2×Dic47—24no—
624C2×Dic47—22no—
625C2×Dic47—24no—
626C2×Dic47—216no—
627C2×Dic47—48no—
628C2×Dic47H(5,𝔽2)14yes—
629C2×Dic47C2514yes—
630C2×Dic47C2512yes—
631C2×Dic47C2512yes—
632C2×Dic47C2512yes—
633C2×Dic47C2514yes—
634C2×Dic47C2514yes—
635C2×Dic47C2512yes—
636C2×Dic47C2512yes—
637D188—28no—
638D188—44no—
639D188—48no—
640D188—44no—
641D188—44no—
642D188—48no—
643C4×D47—28no—
644C4×D47—28no—
645C4×D47—28no—
646C4×D47—28no—
647C4×D47—44no—
648C4×D47—48no—
649C4×D47—48no—
650C4×D47—48no—
651Dic94—216no—
652Dic94—44no—
653Dic94—44no—
654C2×#3546—471nomaximal, Sylow
655C22×C47—24no—
656C22×C47—22no—
657C22×C47—24no—
658C22×C47—22no—
659C22×C47—22no—
660C22×C47—22no—
661C22×C47—24no—
662C22×C47—24no—
663C22×C47—22no—
664C22×C47—24no—
665C22×C47—24no—
666C22×C47—22no—
667C22×C47—48no—
668C22×C47—44no—
669C22×C47—48no—
670C22×C47—44no—
671C22×C47—816no—
672C22×C47C2×H(5,𝔽2)12yes—
673C22×C47C2×H(5,𝔽2)12yes—
674C22×C47#58512yes—
675C22×C47C2611yescharacteristic
676C2×D47—22no—
677C2×D47—22no—
678C2×D47—22no—
679C2×D47—22no—
680C2×D47—22no—
681C2×D47—24no—
682C2×D47—24no—
683C2×D47—22no—
684C2×D47—22no—
685C2×D47—22no—
686C2×D47—22no—
687C2×D47—24no—
688C2×D47—44no—
689C2×D47—44no—
690C2×D47—48no—
691C2×D47—44no—
692C2×D47—816no—
693C4×C47—24no—
694C4×C47—22no—
695C4×C47—22no—
696C4×C47—22no—
697C4×C47—24no—
698C4×C47—22no—
699C4×C47C2×H(5,𝔽2)14yes—
700Dic47—24no—
701Dic47—22no—
702Dic47—22no—
703Dic47—22no—
704Dic47—24no—
705Dic47—22no—
706Dic47—24no—
707Dic47C2×H(5,𝔽2)14yes—
708#3546—4732no—
709C2×#560—472no—
710C2×#560—472no—
711C2×#556—471no—
712C2×#553—471no—
713C2×#553—471no—
714C2×#550—471no—
715C2×#550—472no—
716C2×#547—471no—
717C2×#546—471no—
718C2×#546—472no—
719C2×#546D4711yescharacteristic, complemented
720C2×D42—471no—
721C2×#542—472no—
722C2×#538—472no—
723C2×#538—472no—
724C2×#537—471no—
725C2×#537—471no—
726C2×#535—471no—
727C2×#535—471no—
728C2×#535—472no—
729C2×#532—471no—
730C2×#532—471no—
731C2×#529—471no—
732C2×C47—44no—
733C2×C47—42no—
734C2×C47—44no—
735C2×C47—42no—
736C2×C47#354614yescomplemented
737C2×C47C22×H(5,𝔽2)11yescharacteristic
738C2×C47C22×H(5,𝔽2)11yescharacteristic
739C2×C47C2×#58511yescharacteristic
740D47—42no—
741D47—42no—
742D47—44no—
743D47—42no—
744C22×#41—471no—
745C22×#41—472no—
746C22×#41—471no—
747C22×#41—471no—
748C22×#41—472no—
749C22×#41C2×D4711yescharacteristic, complemented
750C23×D4—472no—
751C23×D4—471no—
752C23×D4C2×D4711yescharacteristic
753#560—4732no—
754#560—4732no—
755#556—4716no—
756#553—4716no—
757#553—4716no—
758#550—4716no—
759#550—4732no—
760#547—4716no—
761#546—4716no—
762#546—4732no—
763#546C2×D47116yescomplemented
764D42—4716no—
765#542—4732no—
766#538—4732no—
767#538—4732no—
768#537—4716no—
769#537—4716no—
770#535—4716no—
771#535—4716no—
772#535—4732no—
773#532—4716no—
774#532—4716no—
775C2×C4⋊Q8—471no—
776C2×C4⋊Q8—471no—
777C2×#127—471no—
778C2×#127—471no—
779C2×#127—472no—
780C2×#127—472no—
781C2×#127—472no—
782#529—4716no—
783C2×#126—472no—
784C2×#126—472no—
785C2×#126—472no—
786C2×#126—472no—
787C2×#126—472no—
788C2×#125—471no—
789C2×#124—472no—
790C2×#124—472no—
791C2×#124—471no—
792C2×#124—471no—
793C2×#124—472no—
794C2×#124—472no—
795C2×#124C2×D4711yescharacteristic
796C2×#123—472no—
797C2×#123—472no—
798C2×#123—472no—
799C2×#123—472no—
800C2×#123—472no—
801C2×#123—472no—
802C2×#123C2×D4712yescomplemented
803C2×C22⋊Q8—471no—
804C2×C22⋊Q8—471no—
805C2×C22⋊Q8—472no—
806C2×C22⋊Q8—472no—
807C2×C22⋊Q8—472no—
808C2×C22⋊Q8C2×D4711yescharacteristic, complemented
809C2×#121—471no—
810C2×#121—471no—
811C2×#121—471no—
812C2×#121—472no—
813C2×#121—471no—
814C2×#121—471no—
815C2×#121—472no—
816C2×#121—471no—
817C2×#121—472no—
818C2×#121—472no—
819C2×#121—472no—
820C2×#121—471no—
821C2×#121—471no—
822C2×#121—472no—
823C2×#121—472no—
824C2×#121—471no—
825C2×#121—471no—
826C2×#121—472no—
827C2×#121—471no—
828C2×#121—471no—
829C2×#121—472no—
830C2×#121—472no—
831C2×#121—472no—
832C2×#121—472no—
833C2×#121—472no—
834C2×#121C2×D4711yescharacteristic
835C2×#121C2×D4712yescomplemented
836C2×#120—472no—
837C2×#120—472no—
838C2×#120—472no—
839C2×#120—472no—
840C2×#120—472no—
841C2×#120—472no—
842C2×#120—472no—
843C2×#120C2×D4712yescomplemented
844C2×C4×Q8—471no—
845C2×C4×Q8—472no—
846C2×C4×D4—471no—
847C2×C4×D4—471no—
848C2×C4×D4—472no—
849C2×C4×D4—471no—
850C2×C4×D4—472no—
851C2×C4×D4—472no—
852C2×C4×D4—472no—
853C2×C4×D4—472no—
854C2×C4×D4—471no—
855C2×C4×D4—471no—
856C2×C4×D4C2×D4711yescharacteristic, complemented
857C2×C4×D4C2×D4711yescharacteristic, complemented
858C2×#117—471no—
859C2×#117—471no—
860C2×#117—472no—
861C22×C4⋊C4—471no—
862C22×C4⋊C4—471no—
863C22×C22⋊C4—472no—
864C22×C22⋊C4C2×D4712yescomplemented
865C22×C42—471no—
866C47C2×#354611yescharacteristic, complemented, Sylow
867C25—472no—
868C25C22×D4712yes—
869C2×#41—44no—
870C2×#41—478no—
871C2×#41—4716no—
872C2×#41—478no—
873C2×#41—478no—
874C2×#41—4716no—
875C2×#41—1884no—
876C2×#41—1884no—
877C2×#41—1888no—
878C2×#41—1888no—
879C2×#41—1884no—
880C2×#41C22×D4718yescomplemented
881C22×Q8—472no—
882C22×Q8—471no—
883C22×Q8—471no—
884C22×Q8C22×D4711yescharacteristic
885C22×D4—44no—
886C22×D4—471no—
887C22×D4—472no—
888C22×D4—471no—
889C22×D4—472no—
890C22×D4—472no—
891C22×D4—472no—
892C22×D4—472no—
893C22×D4—471no—
894C22×D4—472no—
895C22×D4—471no—
896C22×D4—471no—
897C22×D4—472no—
898C22×D4—472no—
899C22×D4—472no—
900C22×D4—472no—
901C22×D4—471no—
902C22×D4—4716no—
903C22×D4—478no—
904C22×D4—471no—
905C22×D4—471no—
906C22×D4—471no—
907C22×D4—472no—
908C22×D4—472no—
909C22×D4—471no—
910C22×D4—1884no—
911C22×D4—1888no—
912C22×D4C22×D4711yescharacteristic
913C22×D4C22×D4711yescharacteristic
914C22×D4C22×D4711yescharacteristic
915C22×D4C22×D4712yes—
916C22×D4C22×D4712yes—
917C22×D4C22×D4712yes—
918C22×D4C22×D4718yes—
919C23×C4—472no—
920C23×C4—472no—
921C23×C4—471no—
922C23×C4—471no—
923C23×C4—471no—
924C23×C4—471no—
925C23×C4—472no—
926C23×C4—472no—
927C23×C4—472no—
928C23×C4—471no—
929C23×C4C22×D4711yescharacteristic
930C23×C4C22×D4711yescharacteristic
931C23×C4C22×D4712yes—
932C23×C4C22×D4712yes—
933C4⋊Q8—478no—
934C4⋊Q8—478no—
935#127—478no—
936#127—478no—
937#127—4716no—
938#127—4716no—
939#127—4716no—
940#126—4716no—
941#126—4716no—
942#126—4716no—
943#126—4716no—
944#126—4716no—
945#125—478no—
946#124—4716no—
947#124—4716no—
948#124—478no—
949#124—478no—
950#124—4716no—
951#124—4716no—
952#124C22×D4718yes—
953#123—4716no—
954#123—4716no—
955#123—4716no—
956#123—4716no—
957#123—4716no—
958#123—4716no—
959#123C22×D47116yescomplemented
960C22⋊Q8—478no—
961C22⋊Q8—478no—
962C22⋊Q8—4716no—
963C22⋊Q8—4716no—
964C22⋊Q8—4716no—
965C22⋊Q8C22×D4718yescomplemented
966#121—478no—
967#121—478no—
968#121—478no—
969#121—4716no—
970#121—478no—
971#121—478no—
972#121—4716no—
973#121—478no—
974#121—4716no—
975#121—4716no—
976#121—4716no—
977#121—478no—
978#121—478no—
979#121—4716no—
980#121—4716no—
981#121—478no—
982#121—478no—
983#121—4716no—
984#121—478no—
985#121—478no—
986#121—4716no—
987#121—4716no—
988#121—4716no—
989#121—4716no—
990#121—4716no—
991#121C22×D4718yes—
992#121C22×D47116yescomplemented
993#120—4716no—
994#120—4716no—
995#120—4716no—
996#120—4716no—
997#120—4716no—
998#120—4716no—
999#120—4716no—
1000#120C22×D47116yescomplemented
1001C4×Q8—478no—
1002C4×Q8—4716no—
1003C4×D4—478no—
1004C4×D4—4716no—
1005C4×D4—478no—
1006C4×D4—478no—
1007C4×D4—4716no—
1008C4×D4—4716no—
1009C4×D4—4716no—
1010C4×D4—4716no—
1011C4×D4—478no—
1012C4×D4—478no—
1013C4×D4C22×D4718yescomplemented
1014C4×D4C22×D4718yescomplemented
1015#117—478no—
1016#117—478no—
1017#117—4716no—
1018C2×C4⋊C4—471no—
1019C2×C4⋊C4—471no—
1020C2×C4⋊C4—472no—
1021C2×C4⋊C4—472no—
1022C2×C4⋊C4—478no—
1023C2×C4⋊C4—471no—
1024C2×C4⋊C4—472no—
1025C2×C4⋊C4—472no—
1026C2×C4⋊C4—471no—
1027C2×C4⋊C4—472no—
1028C2×C4⋊C4—471no—
1029C2×C4⋊C4—472no—
1030C2×C4⋊C4—471no—
1031C2×C4⋊C4—472no—
1032C2×C4⋊C4—472no—
1033C2×C4⋊C4—478no—
1034C2×C4⋊C4C22×D4711yescharacteristic
1035C2×C4⋊C4C22×D4711yescharacteristic
1036C2×C4⋊C4C22×D4712yes—
1037C2×C22⋊C4—472no—
1038C2×C22⋊C4—472no—
1039C2×C22⋊C4—472no—
1040C2×C22⋊C4—471no—
1041C2×C22⋊C4—472no—
1042C2×C22⋊C4—472no—
1043C2×C22⋊C4—472no—
1044C2×C22⋊C4—472no—
1045C2×C22⋊C4—471no—
1046C2×C22⋊C4—471no—
1047C2×C22⋊C4—472no—
1048C2×C22⋊C4—472no—
1049C2×C22⋊C4—471no—
1050C2×C22⋊C4—471no—
1051C2×C22⋊C4—472no—
1052C2×C22⋊C4—472no—
1053C2×C22⋊C4—472no—
1054C2×C22⋊C4—472no—
1055C2×C22⋊C4—472no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—4716no—
1058C2×C22⋊C4C22×D4712yes—
1059C2×C22⋊C4C22×D4711yescharacteristic
1060C2×C22⋊C4C22×D4712yes—
1061C2×C22⋊C4C22×D4712yes—
1062C2×C22⋊C4C22×D4712yes—
1063C2×C22⋊C4C22×D4711yescharacteristic
1064C2×C22⋊C4C22×D4712yes—
1065C2×C22⋊C4C22×D47116yescomplemented
1066C2×C42—471no—
1067C2×C42—472no—
1068C2×C42—472no—
1069C2×C42—472no—
1070C2×C42—471no—
1071C2×C42—471no—
1072C2×C42—478no—
1073C2×C42C22×D4711yescharacteristic
1074C24—44no—
1075C24—44no—
1076C24—44no—
1077C24—471no—
1078C24—472no—
1079C24—471no—
1080C24—471no—
1081C24—478no—
1082C24—1884no—
1083C24—1884no—
1084C24—1884no—
1085C24C23×D4712yes—
1086C24C23×D4711yescharacteristic
1087C24C23×D4712yes—
1088C24C23×D4711yescharacteristic
1089C24C23×D4718yes—
1090#41—416no—
1091#41—18816no—
1092#41—18816no—
1093#41—18832no—
1094#41—18832no—
1095#41—18816no—
1096C2×Q8—24no—
1097C2×Q8—478no—
1098C2×Q8—474no—
1099C2×Q8—474no—
1100C2×Q8—948no—
1101C2×Q8—1882no—
1102C2×Q8—1882no—
1103C2×Q8C23×D4714yes—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—416no—
1107C2×D4—44no—
1108C2×D4—42no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—474no—
1112C2×D4—478no—
1113C2×D4—474no—
1114C2×D4—478no—
1115C2×D4—478no—
1116C2×D4—478no—
1117C2×D4—478no—
1118C2×D4—474no—
1119C2×D4—478no—
1120C2×D4—474no—
1121C2×D4—474no—
1122C2×D4—478no—
1123C2×D4—478no—
1124C2×D4—478no—
1125C2×D4—478no—
1126C2×D4—474no—
1127C2×D4—474no—
1128C2×D4—474no—
1129C2×D4—474no—
1130C2×D4—478no—
1131C2×D4—478no—
1132C2×D4—474no—
1133C2×D4—944no—
1134C2×D4—948no—
1135C2×D4—944no—
1136C2×D4—944no—
1137C2×D4—1882no—
1138C2×D4—1884no—
1139C2×D4—1882no—
1140C2×D4—1882no—
1141C2×D4—1884no—
1142C2×D4—18816no—
1143C2×D4—18832no—
1144C2×D4—1884no—
1145C2×D4—1884no—
1146C2×D4—1884no—
1147C2×D4—1884no—
1148C2×D4—1884no—
1149C2×D4—1884no—
1150C2×D4—1884no—
1151C2×D4—1884no—
1152C2×D4—1884no—
1153C2×D4—1882no—
1154C2×D4—1882no—
1155C2×D4—1882no—
1156C2×D4—1882no—
1157C2×D4C23×D4714yes—
1158C2×D4C23×D4714yes—
1159C2×D4C23×D4714yes—
1160C2×D4C23×D4718yes—
1161C2×D4C23×D4718yes—
1162C2×D4C23×D4718yes—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—471no—
1168C22×C4—478no—
1169C22×C4—472no—
1170C22×C4—471no—
1171C22×C4—471no—
1172C22×C4—471no—
1173C22×C4—472no—
1174C22×C4—471no—
1175C22×C4—472no—
1176C22×C4—478no—
1177C22×C4—474no—
1178C22×C4—474no—
1179C22×C4—474no—
1180C22×C4—474no—
1181C22×C4—474no—
1182C22×C4—478no—
1183C22×C4—478no—
1184C22×C4—478no—
1185C22×C4—944no—
1186C22×C4—948no—
1187C22×C4—944no—
1188C22×C4—944no—
1189C22×C4—944no—
1190C22×C4—1882no—
1191C22×C4—1884no—
1192C22×C4—1884no—
1193C22×C4—1884no—
1194C22×C4—1884no—
1195C22×C4C23×D4714yes—
1196C22×C4C23×D4714yes—
1197C22×C4C23×D4711yescharacteristic
1198C22×C4C23×D4711yescharacteristic
1199C22×C4C23×D4711yescharacteristic
1200C22×C4C23×D4712yes—
1201C22×C4C23×D4712yes—
1202C22×C4C23×D4711yescharacteristic
1203C22×C4C23×D4718yes—
1204C22×C4C23×D4718yes—
1205C22×C4C23×D4711yescharacteristic
1206C4⋊C4—478no—
1207C4⋊C4—478no—
1208C4⋊C4—478no—
1209C4⋊C4—474no—
1210C4⋊C4—478no—
1211C4⋊C4—474no—
1212C4⋊C4—478no—
1213C4⋊C4—478no—
1214C4⋊C4—474no—
1215C4⋊C4—474no—
1216C4⋊C4—478no—
1217C4⋊C4—474no—
1218C4⋊C4—474no—
1219C4⋊C4—478no—
1220C4⋊C4C23×D4714yes—
1221C4⋊C4C23×D4714yes—
1222C4⋊C4C23×D4718yes—
1223C22⋊C4—478no—
1224C22⋊C4—478no—
1225C22⋊C4—478no—
1226C22⋊C4—474no—
1227C22⋊C4—478no—
1228C22⋊C4—478no—
1229C22⋊C4—478no—
1230C22⋊C4—478no—
1231C22⋊C4—474no—
1232C22⋊C4—474no—
1233C22⋊C4—478no—
1234C22⋊C4—478no—
1235C22⋊C4—474no—
1236C22⋊C4—474no—
1237C22⋊C4—478no—
1238C22⋊C4—478no—
1239C22⋊C4—478no—
1240C22⋊C4—478no—
1241C22⋊C4—478no—
1242C22⋊C4—474no—
1243C22⋊C4C23×D4718yes—
1244C22⋊C4C23×D4714yes—
1245C22⋊C4C23×D4718yes—
1246C22⋊C4C23×D4718yes—
1247C22⋊C4C23×D4718yes—
1248C22⋊C4C23×D4714yes—
1249C22⋊C4C23×D4718yes—
1250C42—474no—
1251C42—474no—
1252C42—474no—
1253C42—478no—
1254C42—478no—
1255C42—478no—
1256C42C23×D4714yes—
1257C23—24no—
1258C23—24no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—24no—
1264C23—24no—
1265C23—22no—
1266C23—22no—
1267C23—24no—
1268C23—24no—
1269C23—48no—
1270C23—48no—
1271C23—48no—
1272C23—816no—
1273C23—472no—
1274C23—474no—
1275C23—472no—
1276C23—472no—
1277C23—942no—
1278C23—942no—
1279C23—944no—
1280C23—942no—
1281C23—942no—
1282C23—942no—
1283C23—942no—
1284C23—944no—
1285C23—942no—
1286C23—942no—
1287C23—944no—
1288C23—942no—
1289C23—37616no—
1290C23—1888no—
1291C23—1888no—
1292C23—1888no—
1293C23C24×D4714yes—
1294C23C24×D4712yes—
1295C23C24×D4714yes—
1296C23C24×D4712yes—
1297C23C24×D4711yescharacteristic
1298Q8—28no—
1299Q8—9416no—
1300Q8—1884no—
1301Q8—1884no—
1302D4—28no—
1303D4—28no—
1304D4—48no—
1305D4—44no—
1306D4—48no—
1307D4—48no—
1308D4—948no—
1309D4—9416no—
1310D4—948no—
1311D4—948no—
1312D4—1884no—
1313D4—1888no—
1314D4—1884no—
1315D4—1884no—
1316D4—1888no—
1317D4—1888no—
1318D4—1888no—
1319D4—1888no—
1320D4—1888no—
1321D4—1888no—
1322D4—1888no—
1323D4—1888no—
1324D4—1888no—
1325D4—1888no—
1326D4—1884no—
1327D4—1884no—
1328D4—1884no—
1329D4—1884no—
1330C2×C4—22no—
1331C2×C4—24no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—24no—
1335C2×C4—22no—
1336C2×C4—28no—
1337C2×C4—28no—
1338C2×C4—48no—
1339C2×C4—48no—
1340C2×C4—474no—
1341C2×C4—472no—
1342C2×C4—474no—
1343C2×C4—472no—
1344C2×C4—472no—
1345C2×C4—472no—
1346C2×C4—474no—
1347C2×C4—472no—
1348C2×C4—474no—
1349C2×C4—948no—
1350C2×C4—9416no—
1351C2×C4—944no—
1352C2×C4—944no—
1353C2×C4—942no—
1354C2×C4—942no—
1355C2×C4—942no—
1356C2×C4—942no—
1357C2×C4—944no—
1358C2×C4—948no—
1359C2×C4—948no—
1360C2×C4—948no—
1361C2×C4—1884no—
1362C2×C4—1888no—
1363C2×C4—1888no—
1364C2×C4—1888no—
1365C2×C4—1888no—
1366C2×C4#1309406914yes—
1367C2×C4C24×D4712yes—
1368C2×C4C24×D4712yes—
1369C2×C4C24×D4712yes—
1370C2×C4C24×D4714yes—
1371C2×C4C24×D4714yes—
1372C2×C4C24×D4712yes—
1373C2×C4C24×D4712yes—
1374C22—24no—
1375C22—24no—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—24no—
1381C22—24no—
1382C22—22no—
1383C22—22no—
1384C22—24no—
1385C22—24no—
1386C22—44no—
1387C22—48no—
1388C22—48no—
1389C22—44no—
1390C22—816no—
1391C22—942no—
1392C22—942no—
1393C22—944no—
1394C22—942no—
1395C22—942no—
1396C22—942no—
1397C22—942no—
1398C22—944no—
1399C22—942no—
1400C22—942no—
1401C22—944no—
1402C22—942no—
1403C22—37616no—
1404C22—1884no—
1405C22—1888no—
1406C22—1884no—
1407C22—1884no—
1408C22H(5,𝔽2)×D4712yes—
1409C22C2×#1309406912yes—
1410C22#1568995912yes—
1411C22C25×D4711yescharacteristic
1412C4—22no—
1413C4—24no—
1414C4—22no—
1415C4—22no—
1416C4—24no—
1417C4—22no—
1418C4—474no—
1419C4—944no—
1420C4—944no—
1421C4—942no—
1422C4—942no—
1423C4—942no—
1424C4—942no—
1425C4—944no—
1426C4C2×#1309406914yes—
1427C2—42no—
1428C2—44no—
1429C2—44no—
1430C2—42no—
1431C2—1882no—
1432C2—1884no—
1433C2—1882no—
1434C2—1882no—
1435C2#2025775214yesdirect product factor
1436C2C2×H(5,𝔽2)×D4711yescharacteristic
1437C2C22×#1309406911yescharacteristic
1438C2C2×#1568995911yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#546C2
socleC23×C47C25
hypercenterC2×#546D47
hypocenterC47C2×#3546
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #20257752C2direct (N × H)
2. C2×#15689863C2semidirect
3. C2×#15689862C2semidirect
4. C2×#15689844C2semidirect
5. C2×#15689823C2semidirect
6. C2×#15689819C2semidirect
7. C2×#15689792C2semidirect
8. C2×#15689791C2semidirect
9. C2×#15689773C2semidirect
10. C2×#15689766C2semidirect
11. C2×#15689763C2semidirect
12. C2×D4×C22⋊D47C2semidirect
13. C2×#15689741C2semidirect
14. C2×#15689711C2semidirect
15. C2×#15689705C2semidirect
16. C2×#15689703C2semidirect
17. C2×#15689701C2semidirect
18. C2×#15689690C2semidirect
19. C2×#15689689C2semidirect
20. C2×#15689688C2semidirect
21. C2×#15689670C2semidirect
22. C2×#15689670C2semidirect
23. C2×#15689652C2semidirect
24. C2×C47×#546C2semidirect
25. C22×#10625354C22semidirect
26. C22×#10625350C22semidirect
27. C22×#10625350C22semidirect
28. C22×#10625350C22semidirect
29. C22×#10625352C22semidirect
32. #15689863C22semidirect
33. #15689862C22semidirect
34. #15689844C22semidirect
35. #15689823C22semidirect
36. #15689819C22semidirect
37. #15689792C22semidirect
38. #15689791C22semidirect
39. #15689773C22semidirect
40. #15689766C22semidirect
41. #15689763C22semidirect
42. D4×C22⋊D47C22semidirect
43. #15689741C22semidirect
44. #15689711C22semidirect
45. #15689705C22semidirect
46. #15689703C22semidirect
47. #15689701C22semidirect
48. #15689690C22semidirect
49. #15689689C22semidirect
50. #15689688C22semidirect
51. #15689670C22semidirect
52. #15689670C22semidirect
53. C2×#13094023C22semidirect
54. C2×#13094023C22semidirect
57. C2×#13094020C22semidirect
58. C2×#13094020C22semidirect
59. C2×#13094020C22semidirect
60. #15689652C22semidirect
61. C2×#13094019C22semidirect
62. C2×#13094019C22semidirect
63. C2×#13094017C22semidirect
64. C2×#13094017C22semidirect
65. C2×#13094017C22semidirect
66. C2×#13094016C22semidirect
67. C2×#13094011C22semidirect
69. C2×#13094010C22semidirect
70. C2×#13094010C22semidirect
71. C2×#13094010C22semidirect
72. C2×#13094010C22semidirect
73. C2×#13094007C22semidirect
74. C2×#13094006C22semidirect
75. C2×#13094006C22semidirect
76. C2×#13094006C22semidirect
77. C2×#13094006C22semidirect
78. C2×#13094005C22semidirect
79. C2×#13094003C22semidirect
80. C2×#13094002C22semidirect
81. C2×#13094001C22semidirect
82. C2×#13094000C22semidirect
83. C2×#13094000C22semidirect
84. C2×#13093999C22semidirect
85. C2×#13093999C22semidirect
86. C2×#13093999C22semidirect
88. C2×#13093998C22semidirect
89. C2×#13093998C22semidirect
90. C2×#13093998C22semidirect
92. C2×#13093997C22semidirect
93. C2×#13093997C22semidirect
94. C2×#13093997C22semidirect
95. C2×#13093997C22semidirect
96. C2×#13093997C22semidirect
97. C2×#13093997C22semidirect
99. C2×#13093996C22semidirect
100. C2×#13093996C22semidirect
101. C2×#13093996C22semidirect
105. C2×#13093995C22semidirect
106. C2×#13093995C22semidirect
107. C2×#13093995C22semidirect
108. C2×#13093995C22semidirect
109. C2×#13093994C22semidirect
110. C2×#13093994C22semidirect
112. C2×#13093993C22semidirect
113. C2×#13093993C22semidirect
115. C2×#13093992C22semidirect
116. C2×Q8×Dic47C22semidirect
117. C2×#13093989C22semidirect
118. C2×C4×D188C22semidirect
119. C2×C4×D188C22semidirect
122. C2×C4×C22⋊D47C22semidirect
123. C2×C4×C22⋊D47C22semidirect
124. C2×C4×C22⋊D47C22semidirect
125. C2×C4×C22⋊D47C22semidirect
126. C2×(C22⋊D47)⋊C4C22semidirect
127. C2×(C22⋊D47)⋊C4C22semidirect
128. C2×#13093983C22semidirect
129. C2×#13093982C22semidirect
130. C2×#13093980C22semidirect
131. C22×C4⋊Dic47C22semidirect
132. C2×C4⋊C4×D47C22semidirect
133. C2×C22⋊C4×D47C22semidirect
134. C2×C42×D47C22semidirect
135. C22×#41×C47C22semidirect
137. C47×#546C22semidirect
139. C2×#123×C47C22semidirect
140. C2×C22⋊Q8×C47C22semidirect
142. C2×#121×C47C22semidirect
143. C2×#120×C47C22semidirect
144. C2×C4×D4×C47C22semidirect
145. C2×C4×D4×C47C22semidirect
146. C22×C22⋊C4×C47C22semidirect
149. C2×#10625354C23semidirect
153. C2×#10625350C23semidirect
154. C2×#10625350C23semidirect
155. C2×#10625350C23semidirect
157. C2×#10625352C23semidirect
197. #13094023C23semidirect
198. #13094023C23semidirect
201. #13094020C23semidirect
202. #13094020C23semidirect
203. #13094020C23semidirect
204. #13094019C23semidirect
205. #13094019C23semidirect
206. #13094017C23semidirect
207. #13094017C23semidirect
208. #13094017C23semidirect
209. #13094016C23semidirect
210. #13094011C23semidirect
212. #13094010C23semidirect
213. #13094010C23semidirect
214. #13094010C23semidirect
215. #13094010C23semidirect
216. #13094007C23semidirect
217. #13094006C23semidirect
218. #13094006C23semidirect
219. #13094006C23semidirect
220. #13094006C23semidirect
221. #13094005C23semidirect
222. #13094003C23semidirect
223. #13094002C23semidirect
224. #13094001C23semidirect
225. #13094000C23semidirect
226. #13094000C23semidirect
227. #13093999C23semidirect
228. #13093999C23semidirect
229. #13093999C23semidirect
231. #13093998C23semidirect
232. #13093998C23semidirect
233. #13093998C23semidirect
235. #13093997C23semidirect
236. #13093997C23semidirect
237. #13093997C23semidirect
238. #13093997C23semidirect
239. #13093997C23semidirect
240. #13093997C23semidirect
242. #13093996C23semidirect
243. #13093996C23semidirect
244. #13093996C23semidirect
248. #13093995C23semidirect
249. #13093995C23semidirect
250. #13093995C23semidirect
251. #13093995C23semidirect
252. #13093994C23semidirect
253. #13093994C23semidirect
255. #13093993C23semidirect
256. #13093993C23semidirect
258. #13093992C23semidirect
259. Q8×Dic47C23semidirect
260. #13093989C23semidirect
261. C4×D188C23semidirect
262. C4×D188C23semidirect
265. C4×C22⋊D47C23semidirect
266. C4×C22⋊D47C23semidirect
267. C4×C22⋊D47C23semidirect
268. C4×C22⋊D47C23semidirect
269. (C22⋊D47)⋊C4C23semidirect
270. (C22⋊D47)⋊C4C23semidirect
271. #13093983C23semidirect
272. #13093982C23semidirect
273. #13093980C23semidirect
280. C2×C4⋊Dic47C23semidirect
289. C4⋊C4×D47C23semidirect
310. C22⋊C4×D47C23semidirect
317. C42×D47C23semidirect
320. C2×#41×C47C23semidirect
335. #123×C47C23semidirect
336. C22⋊Q8×C47C23semidirect
338. #121×C47C23semidirect
339. #120×C47C23semidirect
340. C4×D4×C47C23semidirect
341. C4×D4×C47C23semidirect
352. C2×C22⋊C4×C47C23semidirect
719. C2×#546D47semidirect
736. C2×C47#3546semidirect
749. C22×#41C2×D47semidirect
763. #546C2×D47semidirect
802. C2×#123C2×D47semidirect
808. C2×C22⋊Q8C2×D47semidirect
835. C2×#121C2×D47semidirect
843. C2×#120C2×D47semidirect
856. C2×C4×D4C2×D47semidirect
857. C2×C4×D4C2×D47semidirect
864. C22×C22⋊C4C2×D47semidirect
866. C47C2×#3546semidirect
880. C2×#41C22×D47semidirect
959. #123C22×D47semidirect
965. C22⋊Q8C22×D47semidirect
992. #121C22×D47semidirect
1000. #120C22×D47semidirect
1013. C4×D4C22×D47semidirect
1014. C4×D4C22×D47semidirect
1065. C2×C22⋊C4C22×D47semidirect
1435. C2#20257752direct (N × H)

Maximal subgroups

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

subgroupindex
#202577522
C2×#156898632
C2×#156898622
C2×#156898442
C2×#156898232
C2×#156898192
C2×#156897922
C2×#156897912
C2×#156897732
C2×#156897662
C2×#156897632
C2×D4×C22⋊D472
C2×#156897412
C2×#156897112
C2×#156897052
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