Finite Group Databasebeta

← C2×#20257698 #27123424

Subgroups — C2×#20257698 #27123424

Order 12032.

8122 conjugacy classes of subgroups.

The subgroup lattice has 1444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257698C2132yesmaximal, direct product factor
2C2×#15689871C212yesmaximal, complemented
3C2×#15689864C212yesmaximal, complemented
4C2×#15689836C211yesmaximal, characteristic, complemented
5C2×#15689826C211yesmaximal, characteristic, complemented
6C2×#15689797C212yesmaximal, complemented
7C2×#15689795C211yesmaximal, characteristic, complemented
8C2×#15689774C211yesmaximal, characteristic, complemented
9C2×#15689765C212yesmaximal, complemented
10C2×#15689764C211yesmaximal, characteristic, complemented
11C2×#15689764C211yesmaximal, characteristic, complemented
12C2×D4×D188C211yesmaximal, characteristic, complemented
13C2×#15689745C211yesmaximal, characteristic, complemented
14C2×#15689729C211yesmaximal, characteristic, complemented
15C2×#15689729C212yesmaximal, complemented
16C2×#15689712C212yesmaximal, complemented
17C2×#15689703C211yesmaximal, characteristic, complemented
18C2×#15689692C212yesmaximal, complemented
19C2×#15689692C211yesmaximal, characteristic, complemented
20C2×#15689684C212yesmaximal, complemented
21C2×#15689636C211yesmaximal, characteristic, complemented
22C2×#15689632C211yesmaximal, characteristic, complemented
23C22×#13093999C211yesmaximal, characteristic, complemented
24C2×C47×#552C211yesmaximal, characteristic, complemented
25C22×#10625354C2211yescharacteristic, complemented
26C22×#10625354C2211yescharacteristic, complemented
27C22×#10625350C2212yescomplemented
28C22×#10625350C2211yescharacteristic, complemented
29C23×D188C2211yescharacteristic
30C23×D188C2211yescharacteristic, complemented
31C23×D188C2212yescomplemented
32C22×D4×D47C2212yes—
33C23×C4×D47C2211yescharacteristic, complemented
34#15689871C22132yescomplemented
35#15689864C22132yescomplemented
36#15689836C22116yescomplemented
37#15689826C22116yescomplemented
38#15689797C22132yescomplemented
39#15689795C22116yescomplemented
40#15689774C22116yescomplemented
41#15689765C22132yescomplemented
42#15689764C22116yescomplemented
43#15689764C22116yescomplemented
44D4×D188C22116yescomplemented
45#15689745C22116yescomplemented
46#15689729C22116yescomplemented
47#15689729C22132yescomplemented
48#15689712C22132yescomplemented
49#15689703C22116yescomplemented
50#15689692C22132yescomplemented
51#15689692C22116yescomplemented
52#15689684C22132yescomplemented
53C2×#13094023C2211yescharacteristic, complemented
54C2×#13094021C2211yescharacteristic, complemented
55C2×#13094021C2212yescomplemented
56C2×#13094021C2212yescomplemented
57C2×#13094019C2212yescomplemented
58C2×#13094018C2212yescomplemented
59C2×#13094013C2211yescharacteristic, complemented
60C2×#13094012C2212yescomplemented
61C2×#13094012C2212yescomplemented
62C2×#13094012C2212yescomplemented
63C2×#13094010C2212yescomplemented
64#15689636C22116yescomplemented
65#15689632C22116yescomplemented
66C2×#13094009C2212yescomplemented
67C2×#13094009C2212yescomplemented
68C2×#13094009C2212yescomplemented
69C2×#13094009C2212yescomplemented
70C2×#13094009C2212yescomplemented
71C2×#13094009C2211yescharacteristic, complemented
72C2×#13094009C2212yescomplemented
73C2×#13094009C2212yescomplemented
74C2×#13094009C2212yescomplemented
75C2×#13094007C2212yescomplemented
76C2×#13094006C2211yescharacteristic, complemented
77C2×#13094002C2212yescomplemented
78C2×#13094002C2212yescomplemented
79C2×#13094002C2212yescomplemented
80C2×#13094002C2211yescharacteristic, complemented
81C2×#13094001C2211yescharacteristic, complemented
82C2×#13094000C2211yescharacteristic, complemented
83C2×#13093999C2211yescharacteristic
84C2×#13093999C2211yescharacteristic
85C2×#13093999C2212yescomplemented
86C2×#13093999C2211yescharacteristic, complemented
87C2×#13093999C2212yescomplemented
88C2×#13093999C2212yescomplemented
89C2×#13093999C2212yescomplemented
90C2×#13093999C2211yescharacteristic, complemented
91C2×#13093999C2211yescharacteristic, complemented
92C2×#13093999C2211yescharacteristic, complemented
93C2×#13093999C2212yescomplemented
94C2×#13093999C2212yescomplemented
95C2×#13093999C2212yescomplemented
96C2×#13093999C2211yescharacteristic, complemented
97C2×#13093999C2212yescomplemented
98C2×#13093999C2212yescomplemented
99C2×#13093999C2212yescomplemented
100C2×#13093999C2212yescomplemented
101C2×#13093999C22116yescomplemented
102C2×#13093998C2211yescharacteristic
103C2×#13093998C2211yescharacteristic, complemented
104C2×#13093997C2212yescomplemented
105C2×#13093997C2211yescharacteristic, complemented
106C2×#13093997C2212yescomplemented
107C2×#13093997C2212yescomplemented
108C2×#13093996C2211yescharacteristic
109C2×#13093994C2212yes—
110C2×#13093994C2212yescomplemented
111C2×#13093994C2212yescomplemented
112C2×#13093994C2212yescomplemented
113C2×#13093994C2212yescomplemented
114C2×#13093994C2211yescharacteristic, complemented
115C2×#13093994C2212yescomplemented
116C2×#13093994C2212yescomplemented
117C2×#13093992C2211yescharacteristic
118C2×C4×D188C2211yescharacteristic, complemented
119C2×C4×D188C2212yescomplemented
120C2×C4×D188C2211yescharacteristic, complemented
121C2×#13093986C2211yescharacteristic, complemented
122C2×#13093986C2211yescharacteristic, complemented
123C2×#13093986C2212yescomplemented
124C2×#13093986C2212yescomplemented
125C2×C4×C22⋊D47C2211yescharacteristic, complemented
126C2×C4×C22⋊D47C2211yescharacteristic, complemented
127C2×(C22⋊D47)⋊C4C2212yescomplemented
128C2×#13093982C2211yescharacteristic, complemented
129C2×#13093981C2212yescomplemented
130C2×#13093981C2211yescharacteristic, complemented
131C2×C4⋊C4×D47C2211yescharacteristic, complemented
132C22×(C2×D47)⋊C4C2212yescomplemented
133C2×C22⋊C4×D47C2212yescomplemented
134C2×C22⋊C4×D47C2212yescomplemented
135C47×#552C22116yescomplemented
136C2×#126×C47C2212yescomplemented
137C2×#125×C47C2211yescharacteristic, complemented
138C2×#125×C47C2212yescomplemented
139C2×#123×C47C2212yes—
140C2×C22⋊Q8×C47C2211yescharacteristic, complemented
141C2×C22⋊Q8×C47C2211yescharacteristic, complemented
142C2×C4×Q8×C47C2211yescharacteristic, complemented
143C2×C4×D4×C47C2211yescharacteristic
144C2×#117×C47C2212yescomplemented
145C2×#117×C47C2211yescharacteristic, complemented
146C22×C4⋊C4×C47C2211yescharacteristic, complemented
147C24×D47C2312yes—
148C24×D47C2311yescharacteristic
149C24×D47C2312yes—
150C2×#10625354—44no—
151C2×#10625354—44no—
152C2×#10625354C2318yescomplemented
153C2×#10625354C2318yescomplemented
154C2×#10625350—44no—
155C2×#10625350—48no—
156C2×#10625350C23116yescomplemented
157C2×#10625350C2318yescomplemented
158C22×Dic94C2311yescharacteristic
159C22×Dic94C2312yes—
160C22×D188—44no—
161C22×D188—44no—
162C22×D188—48no—
163C22×D188C2311yescharacteristic
164C22×D188C2311yescharacteristic
165C22×D188C2311yescharacteristic
166C22×D188C2318yes—
167C22×D188C2312yes—
168C22×D188C2312yes—
169C22×D188C2312yes—
170C22×D188C2311yescharacteristic
171C22×D188C2312yes—
172C22×D188C2312yes—
173C22×D188C2312yes—
174C22×D188C2312yes—
175C22×D188C2312yes—
176C22×D188C2312yes—
177C22×D188C2312yes—
178C22×D188C2311yescharacteristic
179C22×D188C2312yes—
180C22×D188C2312yes—
181C22×D188C2312yes—
182C22×D188C2318yescomplemented
183C22×D188C23116yescomplemented
184C22×C22⋊D47C2312yes—
185C22×C22⋊D47C2311yescharacteristic
186C22×C22⋊D47C2311yescharacteristic
187C22×C22⋊D47C2311yescharacteristic
188C22×C22⋊D47C2311yescharacteristic
189C22×C22⋊D47C2312yes—
190C2×D4×D47—48no—
191C2×D4×D47C23116yes—
192C23×Dic47C2311yescharacteristic
193C22×C4×D47—44no—
194C22×C4×D47C2311yescharacteristic
195C22×C4×D47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2312yes—
198C22×C4×D47C2312yes—
199C22×C4×D47C2312yes—
200C22×C4×D47C2312yes—
201C22×C4×D47C2312yes—
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2312yes—
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2318yescomplemented
206#13094023C2318yescomplemented
207#13094021C2318yescomplemented
208#13094021C23116yescomplemented
209#13094021C23116yescomplemented
210#13094019C23116yescomplemented
211#13094018C23116yescomplemented
212#13094013C2318yescomplemented
213#13094012C23116yescomplemented
214#13094012C23116yescomplemented
215#13094012C23116yescomplemented
216#13094010C23116yescomplemented
217#13094009C2318yescomplemented
218#13094009C23116yescomplemented
219#13094009C23116yescomplemented
220#13094009C23116yescomplemented
221#13094009C23116yescomplemented
222#13094009C23116yescomplemented
223#13094009C23116yescomplemented
224#13094009C23116yescomplemented
225#13094009C23116yescomplemented
226#13094007C23116yescomplemented
227#13094006C2318yescomplemented
228#13094002C23116yescomplemented
229#13094002C23116yescomplemented
230#13094002C23116yescomplemented
231#13094002C2318yescomplemented
232#13094001C2318yescomplemented
233#13094000C2318yescomplemented
234#13093999C2318yes—
235#13093999C2318yes—
236#13093999C23116yescomplemented
237#13093999C23116yescomplemented
238#13093999C23116yescomplemented
239#13093999C23116yescomplemented
240#13093999C2318yescomplemented
241#13093999C23116yescomplemented
242#13093999C2318yescomplemented
243#13093999C23116yescomplemented
244#13093999C23116yescomplemented
245#13093999C2318yescomplemented
246#13093999C23116yescomplemented
247#13093999C2318yescomplemented
248#13093999C2318yescomplemented
249#13093999C23116yescomplemented
250#13093999C23116yescomplemented
251#13093999C23116yescomplemented
252#13093998C2318yes—
253#13093998C2318yescomplemented
254#13093997C23116yescomplemented
255#13093997C23116yescomplemented
256#13093997C2318yescomplemented
257#13093997C23116yescomplemented
258#13093996C2318yes—
259#13093994C23116yes—
260#13093994C23116yescomplemented
261#13093994C23116yescomplemented
262#13093994C23116yescomplemented
263#13093994C23116yescomplemented
264#13093994C2318yescomplemented
265#13093994C23116yescomplemented
266#13093994C23116yescomplemented
267#13093992C2318yes—
268C4×D188C2318yescomplemented
269C4×D188C23116yescomplemented
270C4×D188C2318yescomplemented
271#13093986C2318yescomplemented
272#13093986C2318yescomplemented
273#13093986C23116yescomplemented
274#13093986C23116yescomplemented
275C4×C22⋊D47C2318yescomplemented
276C4×C22⋊D47C2318yescomplemented
277(C22⋊D47)⋊C4C23116yescomplemented
278#13093982C2318yescomplemented
279#13093981C2318yescomplemented
280#13093981C23116yescomplemented
281C2×C4⋊Dic47C2311yescharacteristic
282C2×C4⋊Dic47C2311yescharacteristic
283C2×Dic47⋊C4C2312yes—
284C2×Dic47⋊C4C2311yescharacteristic
285C2×Dic47⋊C4C2311yescharacteristic
286C2×Dic47⋊C4C2311yescharacteristic
287C2×Dic47⋊C4C2312yes—
288C2×Dic47⋊C4C2312yes—
289C2×Dic47⋊C4C2311yescharacteristic
290C4⋊C4×D47C2318yescomplemented
291C2×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
293C2×(C2×D47)⋊C4C2312yes—
294C2×(C2×D47)⋊C4C2312yes—
295C2×(C2×D47)⋊C4C2312yes—
296C2×(C2×D47)⋊C4C2312yes—
297C2×(C2×D47)⋊C4C2312yes—
298C2×(C2×D47)⋊C4C2312yes—
299C2×(C2×D47)⋊C4C2312yes—
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2312yes—
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2312yes—
304C2×(C2×D47)⋊C4C2312yes—
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2312yes—
309C2×(C2×D47)⋊C4C2312yes—
310C2×(C2×D47)⋊C4C2312yes—
311C2×(C2×D47)⋊C4C2312yes—
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2312yes—
314C2×(C2×D47)⋊C4C2312yes—
315C2×(C2×D47)⋊C4C23116yescomplemented
316C22⋊C4×D47C23116yescomplemented
317C22⋊C4×D47C23116yescomplemented
318C2×C4×Dic47C2312yes—
319C2×C4×Dic47C2311yescharacteristic
320C22×Q8×C47C2311yescharacteristic
321C22×D4×C47C2311yescharacteristic
322C23×C4×C47C2312yes—
323C23×C4×C47C2311yescharacteristic
324C23×C4×C47C2311yescharacteristic
325#126×C47C23116yescomplemented
326#125×C47C2318yescomplemented
327#125×C47C23116yescomplemented
328#123×C47C23116yes—
329C22⋊Q8×C47C2318yescomplemented
330C22⋊Q8×C47C2318yescomplemented
331C4×Q8×C47C2318yescomplemented
332C4×D4×C47C2318yes—
333#117×C47C23116yescomplemented
334#117×C47C2318yescomplemented
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2312yes—
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2312yes—
340C2×C4⋊C4×C47C2312yes—
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2312yes—
343C2×C4⋊C4×C47C2312yes—
344C2×C4⋊C4×C47C2312yes—
345C2×C4⋊C4×C47C2318yescomplemented
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2312yes—
348C2×C22⋊C4×C47C2312yes—
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2312yes—
351C2×C42×C47C2312yes—
352C2×C42×C47C2312yes—
353C2×C42×C47C2311yescharacteristic
354C24×C47C2411yescharacteristic
355C24×C47C2411yescharacteristic
356C23×D47—24no—
357C23×D47—28no—
358C23×D47—42no—
359C23×D47—42no—
360C23×D47—44no—
361C23×D47—44no—
362C23×D47—44no—
363C23×D47—44no—
364C23×D47—44no—
365C23×D47C2412yes—
366C23×D47C2411yescharacteristic
367C23×D47C2411yescharacteristic
368C23×D47C2412yes—
369C23×D47C2412yes—
370C23×D47C2411yescharacteristic
371C23×D47C2418yes—
372C23×D47C2414yes—
373C23×D47C2418yes—
374C2×Q8×C47—24no—
375C2×Q8×C47C2414yes—
376C2×D4×C47—24no—
377C2×D4×C47C2414yes—
378C22×C4×C47—28no—
379C22×C4×C47—24no—
380C22×C4×C47—24no—
381C22×C4×C47C2411yescharacteristic
382C22×C4×C47C2411yescharacteristic
383C22×C4×C47C2412yes—
384C22×C4×C47C2412yes—
385C22×C4×C47C2412yes—
386C22×C4×C47C2411yescharacteristic
387C22×C4×C47C2411yescharacteristic
388C22×C4×C47C2412yes—
389C22×C4×C47C2418yes—
390C22×C4×C47C2414yes—
391C22×C4×C47C2414yes—
392C22×C4×C47C2411yescharacteristic
393C2×C22⋊D47—28no—
394C2×C22⋊D47—24no—
395C2×C22⋊D47—44no—
396C2×C22⋊D47—42no—
397C2×C22⋊D47—42no—
398C2×C22⋊D47—42no—
399C2×C22⋊D47C2418yes—
400C2×C22⋊D47C2414yes—
401C2×C22⋊D47C2414yes—
402C2×C22⋊D47C2414yes—
403C2×C22⋊D47C2414yes—
404C2×C22⋊D47C2418yes—
405C22×Dic47—42no—
406C22×Dic47C2411yescharacteristic
407C22×Dic47C2411yescharacteristic
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2412yes—
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2414yes—
413#10625354—416no—
414#10625354—416no—
415D4×D47—432no—
416#10625350—416no—
417#10625350—432no—
418C2×D188—24no—
419C2×D188—24no—
420C2×D188—24no—
421C2×D188—416no—
422C2×D188—416no—
423C2×D188—44no—
424C2×D188—44no—
425C2×D188—44no—
426C2×D188—44no—
427C2×D188—44no—
428C2×D188—44no—
429C2×D188—44no—
430C2×D188—432no—
431C2×D188—44no—
432C2×D188—44no—
433C2×D188—44no—
434C2×D188—42no—
435C2×D188—42no—
436C2×D188—44no—
437C2×D188—44no—
438C2×D188—44no—
439C2×D188C2414yes—
440C2×D188C2414yes—
441C2×D188C2414yes—
442C2×D188C2418yes—
443C2×D188C2418yes—
444C2×D188C2418yes—
445C2×D188C2414yes—
446C2×D188C2418yes—
447C2×D188C2418yes—
448C2×D188C2418yes—
449C2×D188C2418yes—
450C2×D188C2418yes—
451C2×D188C2418yes—
452C2×D188C2418yes—
453C2×D188C2414yes—
454C2×D188C2418yes—
455C2×D188C2418yes—
456C2×D188C2418yes—
457C2×C4×D47—24no—
458C2×C4×D47—24no—
459C2×C4×D47—24no—
460C2×C4×D47—416no—
461C2×C4×D47—42no—
462C2×C4×D47—42no—
463C2×C4×D47—44no—
464C2×C4×D47—44no—
465C2×C4×D47—44no—
466C2×C4×D47—44no—
467C2×C4×D47—44no—
468C2×C4×D47—44no—
469C2×C4×D47C2414yes—
470C2×C4×D47C2414yes—
471C2×C4×D47C2414yes—
472C2×C4×D47C2418yes—
473C2×C4×D47C2418yes—
474C2×C4×D47C2418yes—
475C2×C4×D47C2418yes—
476C2×C4×D47C2418yes—
477C2×C4×D47C2414yes—
478C2×C4×D47C2418yes—
479C2×C4×D47C2414yes—
480C2×Dic94—44no—
481C2×Dic94—42no—
482C2×Dic94C2414yes—
483C2×Dic94C2418yes—
484C4⋊C4×C47C2414yes—
485C4⋊C4×C47C2414yes—
486C4⋊C4×C47C2418yes—
487C4⋊C4×C47C2414yes—
488C4⋊C4×C47C2418yes—
489C4⋊C4×C47C2418yes—
490C4⋊C4×C47C2414yes—
491C4⋊C4×C47C2418yes—
492C4⋊C4×C47C2418yes—
493C4⋊C4×C47C2418yes—
494C22⋊C4×C47C2414yes—
495C22⋊C4×C47C2418yes—
496C22⋊C4×C47C2418yes—
497C22⋊C4×C47C2414yes—
498C22⋊C4×C47C2418yes—
499C42×C47C2418yes—
500C42×C47C2418yes—
501C42×C47C2414yes—
502C22⋊Dic47C2414yes—
503C22⋊Dic47C2414yes—
504(C2×D47)⋊C4C2418yes—
505(C2×D47)⋊C4C2418yes—
506(C2×D47)⋊C4C2418yes—
507(C2×D47)⋊C4C2418yes—
508(C2×D47)⋊C4C2418yes—
509(C2×D47)⋊C4C2418yes—
510(C2×D47)⋊C4C2418yes—
511(C2×D47)⋊C4C2414yes—
512(C2×D47)⋊C4C2418yes—
513(C2×D47)⋊C4C2414yes—
514(C2×D47)⋊C4C2418yes—
515(C2×D47)⋊C4C2418yes—
516(C2×D47)⋊C4C2414yes—
517(C2×D47)⋊C4C2414yes—
518(C2×D47)⋊C4C2414yes—
519(C2×D47)⋊C4C2418yes—
520(C2×D47)⋊C4C2418yes—
521(C2×D47)⋊C4C2418yes—
522(C2×D47)⋊C4C2418yes—
523(C2×D47)⋊C4C2414yes—
524(C2×D47)⋊C4C2418yes—
525(C2×D47)⋊C4C2418yes—
526C4⋊Dic47C2414yes—
527C4⋊Dic47C2414yes—
528Dic47⋊C4C2418yes—
529Dic47⋊C4C2414yes—
530Dic47⋊C4C2414yes—
531Dic47⋊C4C2414yes—
532Dic47⋊C4C2418yes—
533Dic47⋊C4C2418yes—
534Dic47⋊C4C2414yes—
535C4×Dic47C2418yes—
536C4×Dic47C2414yes—
537C23×C47—22no—
538C23×C47—22no—
539C23×C47—22no—
540C23×C47—22no—
541C23×C47—22no—
542C23×C47H(5,𝔽2)14yes—
543C23×C47C2512yes—
544C23×C47C2512yes—
545C23×C47C2511yescharacteristic
546C22×D47—22no—
547C22×D47—22no—
548C22×D47—22no—
549C22×D47—22no—
550C22×D47—24no—
551C22×D47—24no—
552C22×D47—24no—
553C22×D47—24no—
554C22×D47—24no—
555C22×D47—28no—
556C22×D47—22no—
557C22×D47—22no—
558C22×D47—24no—
559C22×D47—24no—
560C22×D47—22no—
561C22×D47—22no—
562C22×D47—24no—
563C22×D47—22no—
564C22×D47—24no—
565C22×D47—216no—
566C22×D47—44no—
567C22×D47—44no—
568C22×D47—48no—
569C22×D47—48no—
570C22×D47—48no—
571C22×D47—48no—
572C22×D47—48no—
573C22×D47—416no—
574C22×D47—816no—
575C22×D47—816no—
576C22×D47C2514yes—
577C22×D47C2512yes—
578C22×D47C2512yes—
579C22×D47C2514yes—
580C22×D47C2514yes—
581C22×D47C2512yes—
582Q8×C47—28no—
583D4×C47—28no—
584C2×C4×C47—24no—
585C2×C4×C47—22no—
586C2×C4×C47—24no—
587C2×C4×C47—22no—
588C2×C4×C47—22no—
589C2×C4×C47—24no—
590C2×C4×C47—216no—
591C2×C4×C47—24no—
592C2×C4×C47—22no—
593C2×C4×C47—28no—
594C2×C4×C47—28no—
595C2×C4×C47H(5,𝔽2)14yes—
596C2×C4×C47C2514yes—
597C2×C4×C47C2512yes—
598C2×C4×C47C2512yes—
599C2×C4×C47C2514yes—
600C2×C4×C47C2514yes—
601C2×C4×C47C2512yes—
602C2×C4×C47C2514yes—
603C2×C4×C47C2512yes—
604C2×C4×C47C2512yes—
605C22⋊D47—28no—
606C22⋊D47—216no—
607C22⋊D47—44no—
608C22⋊D47—44no—
609C22⋊D47—48no—
610C22⋊D47—44no—
611C2×Dic47—22no—
612C2×Dic47—22no—
613C2×Dic47—22no—
614C2×Dic47—24no—
615C2×Dic47—22no—
616C2×Dic47—22no—
617C2×Dic47—44no—
618C2×Dic47C2512yes—
619C2×Dic47C2512yes—
620C2×Dic47C2514yes—
621C2×Dic47C2512yes—
622C2×Dic47C2512yes—
623C2×Dic47C2512yes—
624D188—28no—
625D188—28no—
626D188—28no—
627D188—48no—
628D188—48no—
629D188—48no—
630D188—48no—
631D188—48no—
632D188—48no—
633D188—48no—
634D188—48no—
635D188—48no—
636D188—44no—
637D188—44no—
638D188—48no—
639D188—48no—
640D188—48no—
641D188—48no—
642C4×D47—28no—
643C4×D47—28no—
644C4×D47—28no—
645C4×D47—44no—
646C4×D47—44no—
647C4×D47—48no—
648C4×D47—48no—
649C4×D47—48no—
650C4×D47—48no—
651C4×D47—48no—
652C4×D47—48no—
653Dic94—48no—
654Dic94—44no—
655C2×#3542—471nomaximal, Sylow
656C22×C47—22no—
657C22×C47—22no—
658C22×C47—28no—
659C22×C47—22no—
660C22×C47—22no—
661C22×C47—22no—
662C22×C47—44no—
663C22×C47C2×H(5,𝔽2)14yes—
664C22×C47C2×H(5,𝔽2)12yes—
665C22×C47C2×H(5,𝔽2)12yes—
666C22×C47#58512yes—
667C22×C47C2611yescharacteristic
668C2×D47—22no—
669C2×D47—22no—
670C2×D47—22no—
671C2×D47—22no—
672C2×D47—24no—
673C2×D47—24no—
674C2×D47—24no—
675C2×D47—24no—
676C2×D47—24no—
677C2×D47—22no—
678C2×D47—22no—
679C2×D47—24no—
680C2×D47—24no—
681C2×D47—22no—
682C2×D47—22no—
683C2×D47—24no—
684C2×D47—22no—
685C2×D47—24no—
686C2×D47—416no—
687C2×D47—44no—
688C2×D47—44no—
689C2×D47—44no—
690C2×D47—48no—
691C2×D47—48no—
692C2×D47—48no—
693C2×D47—816no—
694C2×D47—816no—
695C4×C47—24no—
696C4×C47—22no—
697C4×C47—24no—
698C4×C47—22no—
699C4×C47—22no—
700C4×C47—24no—
701C4×C47—24no—
702C4×C47—22no—
703C4×C47C2×H(5,𝔽2)14yes—
704Dic47—22no—
705Dic47—22no—
706Dic47—22no—
707Dic47—24no—
708Dic47—22no—
709Dic47—22no—
710#3542—4732no—
711C2×#562—472no—
712C2×#560—472no—
713C2×#555—471no—
714C2×#553—471no—
715C2×#552D4711yescharacteristic, complemented
716C2×#551—472no—
717C2×#550—471no—
718C2×#547—471no—
719C2×#546—472no—
720C2×#546—471no—
721C2×#546—471no—
722C2×D42—471no—
723C2×#542—471no—
724C2×#540—471no—
725C2×#540—472no—
726C2×#538—472no—
727C2×#537—471no—
728C2×#535—472no—
729C2×#535—471no—
730C2×#534—472no—
731C2×#525—471no—
732C2×#525—471no—
733C22×#121—471no—
734C2×C47—24no—
735C2×C47—42no—
736C2×C47#354214yescomplemented
737C2×C47C22×H(5,𝔽2)11yescharacteristic
738C2×C47C22×H(5,𝔽2)11yescharacteristic
739C2×C47C2×#58511yescharacteristic
740D47—42no—
741D47—42no—
742D47—42no—
743D47—44no—
744D47—44no—
745D47—44no—
746C22×#41—471no—
747C22×#41—471no—
748C22×#41—471no—
749C22×#41—472no—
750C23×D4—472no—
751C23×D4—472no—
752C23×D4—471no—
753C23×D4—471no—
754C24×C4—471no—
755#562—4732no—
756#560—4732no—
757#555—4716no—
758#553—4716no—
759#552C2×D47116yescomplemented
760#551—4732no—
761#550—4716no—
762#547—4716no—
763#546—4732no—
764#546—4716no—
765#546—4716no—
766D42—4716no—
767#542—4716no—
768#540—4716no—
769#540—4732no—
770#538—4732no—
771#537—4716no—
772#535—4732no—
773#535—4716no—
774#534—4732no—
775C2×C4⋊Q8—471no—
776C2×#127—472no—
777C2×#127—472no—
778C2×#127—471no—
779C2×#126—472no—
780C2×#126—472no—
781C2×#126C2×D4712yescomplemented
782C2×#125C2×D4711yescharacteristic, complemented
783C2×#125C2×D4712yescomplemented
784C2×#124—471no—
785C2×#124—472no—
786C2×#124—472no—
787C2×#124—472no—
788C2×#124—472no—
789#525—4716no—
790#525—4716no—
791C2×#123—472no—
792C2×#123—471no—
793C2×#123—472no—
794C2×#123—472no—
795C2×#123—472no—
796C2×#123—472no—
797C2×#123—472no—
798C2×#123—472no—
799C2×#123—472no—
800C2×#123—472no—
801C2×#123—471no—
802C2×#123C2×D4712yes—
803C2×C22⋊Q8—471no—
804C2×C22⋊Q8—471no—
805C2×C22⋊Q8—472no—
806C2×C22⋊Q8—472no—
807C2×C22⋊Q8—472no—
808C2×C22⋊Q8—471no—
809C2×C22⋊Q8C2×D4711yescharacteristic, complemented
810C2×C22⋊Q8C2×D4711yescharacteristic, complemented
811C2×#121—471no—
812C2×#121—471no—
813C2×#121—471no—
814C2×#121—471no—
815C2×#121—471no—
816C2×#121—472no—
817C2×#121—471no—
818C2×#121—471no—
819C2×#121—472no—
820C2×#121—471no—
821C2×#121—472no—
822C2×#121—472no—
823C2×#121—472no—
824C2×#121—472no—
825C2×#121—471no—
826C2×#121—472no—
827C2×#121—471no—
828C2×#121—472no—
829C2×#121—472no—
830C2×#121—472no—
831C2×#121—472no—
832C2×#121—4716no—
833C2×#121—471no—
834C2×#121—472no—
835C2×#121—472no—
836C2×#121—472no—
837C2×#120—471no—
838C2×#120—472no—
839C2×#120—471no—
840C2×#120—472no—
841C2×#120—472no—
842C2×#120—472no—
843C2×#120—472no—
844C2×#120—472no—
845C2×#120—472no—
846C2×C4×Q8C2×D4711yescharacteristic, complemented
847C2×C4×D4—471no—
848C2×C4×D4—471no—
849C2×C4×D4—472no—
850C2×C4×D4—471no—
851C2×C4×D4—472no—
852C2×C4×D4—471no—
853C2×C4×D4—472no—
854C2×C4×D4—471no—
855C2×C4×D4—472no—
856C2×C4×D4—471no—
857C2×C4×D4C2×D4711yescharacteristic
858C2×#117—471no—
859C2×#117—471no—
860C2×#117—472no—
861C2×#117C2×D4712yescomplemented
862C2×#117C2×D4711yescharacteristic, complemented
863C22×C4⋊C4—471no—
864C22×C4⋊C4C2×D4711yescharacteristic, complemented
865C22×C22⋊C4—472no—
866C22×C22⋊C4—472no—
867C22×C22⋊C4—472no—
868C47C2×#354211yescharacteristic, complemented, Sylow
869C25—472no—
870C25—471no—
871C25—472no—
872C2×#41—478no—
873C2×#41—478no—
874C2×#41—478no—
875C2×#41—4716no—
876C2×#41—1884no—
877C2×#41—1888no—
878C2×#41—1884no—
879C2×#41—1884no—
880C22×Q8—471no—
881C22×Q8—472no—
882C22×Q8C22×D4711yescharacteristic
883C22×D4—471no—
884C22×D4—472no—
885C22×D4—471no—
886C22×D4—471no—
887C22×D4—471no—
888C22×D4—472no—
889C22×D4—4716no—
890C22×D4—471no—
891C22×D4—471no—
892C22×D4—471no—
893C22×D4—472no—
894C22×D4—472no—
895C22×D4—472no—
896C22×D4—471no—
897C22×D4—472no—
898C22×D4—472no—
899C22×D4—472no—
900C22×D4—472no—
901C22×D4—472no—
902C22×D4—472no—
903C22×D4—471no—
904C22×D4—472no—
905C22×D4—472no—
906C22×D4—472no—
907C22×D4—472no—
908C22×D4—4716no—
909C22×D4—478no—
910C22×D4—478no—
911C22×D4—1884no—
912C22×D4—1884no—
913C22×D4—1888no—
914C22×D4—1888no—
915C22×D4C22×D4711yescharacteristic
916C23×C4—471no—
917C23×C4—471no—
918C23×C4—471no—
919C23×C4—471no—
920C23×C4—472no—
921C23×C4—472no—
922C23×C4—472no—
923C23×C4—472no—
924C23×C4—472no—
925C23×C4—471no—
926C23×C4—472no—
927C23×C4—471no—
928C23×C4—478no—
929C23×C4—1884no—
930C23×C4C22×D4712yes—
931C23×C4C22×D4711yescharacteristic
932C23×C4C22×D4711yescharacteristic
933C4⋊Q8—478no—
934#127—4716no—
935#127—4716no—
936#127—478no—
937#126—4716no—
938#126—4716no—
939#126C22×D47116yescomplemented
940#125C22×D4718yescomplemented
941#125C22×D47116yescomplemented
942#124—478no—
943#124—4716no—
944#124—4716no—
945#124—4716no—
946#124—4716no—
947#123—4716no—
948#123—478no—
949#123—4716no—
950#123—4716no—
951#123—4716no—
952#123—4716no—
953#123—4716no—
954#123—4716no—
955#123—4716no—
956#123—4716no—
957#123—478no—
958#123C22×D47116yes—
959C22⋊Q8—478no—
960C22⋊Q8—478no—
961C22⋊Q8—4716no—
962C22⋊Q8—4716no—
963C22⋊Q8—4716no—
964C22⋊Q8—478no—
965C22⋊Q8C22×D4718yescomplemented
966C22⋊Q8C22×D4718yescomplemented
967#121—478no—
968#121—478no—
969#121—478no—
970#121—478no—
971#121—478no—
972#121—4716no—
973#121—478no—
974#121—478no—
975#121—4716no—
976#121—478no—
977#121—4716no—
978#121—4716no—
979#121—4716no—
980#121—4716no—
981#121—478no—
982#121—4716no—
983#121—478no—
984#121—4716no—
985#121—4716no—
986#121—4716no—
987#121—4716no—
988#121—478no—
989#121—4716no—
990#121—4716no—
991#121—4716no—
992#120—478no—
993#120—4716no—
994#120—478no—
995#120—4716no—
996#120—4716no—
997#120—4716no—
998#120—4716no—
999#120—4716no—
1000#120—4716no—
1001C4×Q8C22×D4718yescomplemented
1002C4×D4—478no—
1003C4×D4—478no—
1004C4×D4—4716no—
1005C4×D4—478no—
1006C4×D4—4716no—
1007C4×D4—478no—
1008C4×D4—4716no—
1009C4×D4—478no—
1010C4×D4—4716no—
1011C4×D4—478no—
1012C4×D4C22×D4718yes—
1013#117—478no—
1014#117—478no—
1015#117—4716no—
1016#117C22×D47116yescomplemented
1017#117C22×D4718yescomplemented
1018C2×C4⋊C4—471no—
1019C2×C4⋊C4—472no—
1020C2×C4⋊C4—471no—
1021C2×C4⋊C4—471no—
1022C2×C4⋊C4—471no—
1023C2×C4⋊C4—472no—
1024C2×C4⋊C4—471no—
1025C2×C4⋊C4—472no—
1026C2×C4⋊C4—471no—
1027C2×C4⋊C4—478no—
1028C2×C4⋊C4C22×D4711yescharacteristic
1029C2×C4⋊C4C22×D4711yescharacteristic
1030C2×C4⋊C4C22×D4712yes—
1031C2×C4⋊C4C22×D4711yescharacteristic
1032C2×C4⋊C4C22×D4712yes—
1033C2×C4⋊C4C22×D4712yes—
1034C2×C4⋊C4C22×D4712yes—
1035C2×C4⋊C4C22×D4712yes—
1036C2×C4⋊C4C22×D4711yescharacteristic
1037C2×C4⋊C4C22×D4712yes—
1038C2×C4⋊C4C22×D4718yescomplemented
1039C2×C22⋊C4—471no—
1040C2×C22⋊C4—471no—
1041C2×C22⋊C4—472no—
1042C2×C22⋊C4—472no—
1043C2×C22⋊C4—472no—
1044C2×C22⋊C4—472no—
1045C2×C22⋊C4—472no—
1046C2×C22⋊C4—472no—
1047C2×C22⋊C4—472no—
1048C2×C22⋊C4—4716no—
1049C2×C22⋊C4—472no—
1050C2×C22⋊C4—471no—
1051C2×C22⋊C4—472no—
1052C2×C22⋊C4—471no—
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—472no—
1055C2×C22⋊C4—472no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—472no—
1058C2×C22⋊C4—472no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—472no—
1061C2×C22⋊C4—472no—
1062C2×C22⋊C4—472no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—4716no—
1065C2×C22⋊C4—4716no—
1066C2×C22⋊C4C22×D4712yes—
1067C2×C22⋊C4C22×D4712yes—
1068C2×C22⋊C4C22×D4711yescharacteristic
1069C2×C22⋊C4C22×D4712yes—
1070C2×C22⋊C4C22×D4711yescharacteristic
1071C2×C42—472no—
1072C2×C42—471no—
1073C2×C42C22×D4712yes—
1074C2×C42C22×D4711yescharacteristic
1075C2×C42C22×D4712yes—
1076C24—472no—
1077C24—471no—
1078C24—471no—
1079C24—472no—
1080C24—472no—
1081C24—471no—
1082C24—478no—
1083C24—474no—
1084C24—478no—
1085C24—948no—
1086C24—944no—
1087C24—1884no—
1088C24—1884no—
1089C24—1884no—
1090C24—1884no—
1091C24—1884no—
1092C24—1882no—
1093C24—1882no—
1094C24C23×D4711yescharacteristic
1095C24C23×D4711yescharacteristic
1096#41—18816no—
1097#41—18832no—
1098#41—18816no—
1099#41—18816no—
1100C2×Q8—24no—
1101C2×Q8—474no—
1102C2×Q8—478no—
1103C2×Q8—1882no—
1104C2×Q8—1884no—
1105C2×Q8C23×D4714yes—
1106C2×D4—24no—
1107C2×D4—474no—
1108C2×D4—478no—
1109C2×D4—474no—
1110C2×D4—474no—
1111C2×D4—474no—
1112C2×D4—478no—
1113C2×D4—474no—
1114C2×D4—474no—
1115C2×D4—474no—
1116C2×D4—478no—
1117C2×D4—478no—
1118C2×D4—478no—
1119C2×D4—474no—
1120C2×D4—478no—
1121C2×D4—478no—
1122C2×D4—478no—
1123C2×D4—478no—
1124C2×D4—478no—
1125C2×D4—478no—
1126C2×D4—474no—
1127C2×D4—478no—
1128C2×D4—478no—
1129C2×D4—478no—
1130C2×D4—478no—
1131C2×D4—948no—
1132C2×D4—944no—
1133C2×D4—944no—
1134C2×D4—944no—
1135C2×D4—944no—
1136C2×D4—18816no—
1137C2×D4—18816no—
1138C2×D4—1884no—
1139C2×D4—1884no—
1140C2×D4—1884no—
1141C2×D4—1882no—
1142C2×D4—1884no—
1143C2×D4—1884no—
1144C2×D4—1884no—
1145C2×D4—1884no—
1146C2×D4—1884no—
1147C2×D4—1884no—
1148C2×D4—18832no—
1149C2×D4—1884no—
1150C2×D4—1882no—
1151C2×D4—1884no—
1152C2×D4—1884no—
1153C2×D4—1884no—
1154C2×D4—1882no—
1155C2×D4—1884no—
1156C2×D4—1882no—
1157C2×D4—1882no—
1158C2×D4—18832no—
1159C2×D4C23×D4714yes—
1160C22×C4—28no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—471no—
1164C22×C4—471no—
1165C22×C4—471no—
1166C22×C4—472no—
1167C22×C4—471no—
1168C22×C4—471no—
1169C22×C4—474no—
1170C22×C4—474no—
1171C22×C4—474no—
1172C22×C4—474no—
1173C22×C4—478no—
1174C22×C4—478no—
1175C22×C4—478no—
1176C22×C4—478no—
1177C22×C4—478no—
1178C22×C4—474no—
1179C22×C4—478no—
1180C22×C4—474no—
1181C22×C4—944no—
1182C22×C4—944no—
1183C22×C4—944no—
1184C22×C4—18816no—
1185C22×C4—1884no—
1186C22×C4—1882no—
1187C22×C4—1882no—
1188C22×C4—1884no—
1189C22×C4—1884no—
1190C22×C4—1884no—
1191C22×C4—1884no—
1192C22×C4—1884no—
1193C22×C4—1882no—
1194C22×C4C23×D4718yes—
1195C22×C4C23×D4714yes—
1196C22×C4C23×D4714yes—
1197C22×C4C23×D4712yes—
1198C22×C4C23×D4711yescharacteristic
1199C22×C4C23×D4711yescharacteristic
1200C22×C4C23×D4712yes—
1201C22×C4C23×D4712yes—
1202C22×C4C23×D4711yescharacteristic
1203C22×C4C23×D4712yes—
1204C22×C4C23×D4711yescharacteristic
1205C22×C4C23×D4711yescharacteristic
1206C4⋊C4—478no—
1207C4⋊C4—474no—
1208C4⋊C4—474no—
1209C4⋊C4—474no—
1210C4⋊C4—478no—
1211C4⋊C4—478no—
1212C4⋊C4—474no—
1213C4⋊C4—474no—
1214C4⋊C4—474no—
1215C4⋊C4C23×D4714yes—
1216C4⋊C4C23×D4714yes—
1217C4⋊C4C23×D4718yes—
1218C4⋊C4C23×D4714yes—
1219C4⋊C4C23×D4718yes—
1220C4⋊C4C23×D4718yes—
1221C4⋊C4C23×D4718yes—
1222C4⋊C4C23×D4718yes—
1223C4⋊C4C23×D4714yes—
1224C4⋊C4C23×D4718yes—
1225C22⋊C4—474no—
1226C22⋊C4—474no—
1227C22⋊C4—478no—
1228C22⋊C4—478no—
1229C22⋊C4—478no—
1230C22⋊C4—478no—
1231C22⋊C4—478no—
1232C22⋊C4—478no—
1233C22⋊C4—478no—
1234C22⋊C4—478no—
1235C22⋊C4—474no—
1236C22⋊C4—478no—
1237C22⋊C4—474no—
1238C22⋊C4—474no—
1239C22⋊C4—478no—
1240C22⋊C4—478no—
1241C22⋊C4—474no—
1242C22⋊C4—478no—
1243C22⋊C4—478no—
1244C22⋊C4—474no—
1245C22⋊C4—478no—
1246C22⋊C4—478no—
1247C22⋊C4—478no—
1248C22⋊C4—474no—
1249C22⋊C4C23×D4718yes—
1250C22⋊C4C23×D4718yes—
1251C22⋊C4C23×D4714yes—
1252C22⋊C4C23×D4718yes—
1253C22⋊C4C23×D4714yes—
1254C42—478no—
1255C42—474no—
1256C42C23×D4718yes—
1257C42C23×D4714yes—
1258C42C23×D4718yes—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—474no—
1265C23—472no—
1266C23—472no—
1267C23—474no—
1268C23—474no—
1269C23—472no—
1270C23—9416no—
1271C23—942no—
1272C23—942no—
1273C23—942no—
1274C23—942no—
1275C23—944no—
1276C23—944no—
1277C23—944no—
1278C23—944no—
1279C23—944no—
1280C23—948no—
1281C23—944no—
1282C23—942no—
1283C23—942no—
1284C23—944no—
1285C23—942no—
1286C23—944no—
1287C23—942no—
1288C23—942no—
1289C23—944no—
1290C23—37616no—
1291C23—37616no—
1292C23—1888no—
1293C23—1888no—
1294C23—1888no—
1295C23—1888no—
1296C23—1888no—
1297C23—1884no—
1298C23—1884no—
1299C23—18816no—
1300C23#1309407014yes—
1301C23C24×D4712yes—
1302C23C24×D4712yes—
1303C23C24×D4711yescharacteristic
1304Q8—28no—
1305Q8—1884no—
1306Q8—1888no—
1307D4—28no—
1308D4—9416no—
1309D4—948no—
1310D4—948no—
1311D4—948no—
1312D4—948no—
1313D4—1888no—
1314D4—1888no—
1315D4—1888no—
1316D4—1884no—
1317D4—1888no—
1318D4—1888no—
1319D4—1888no—
1320D4—1888no—
1321D4—1888no—
1322D4—1888no—
1323D4—1888no—
1324D4—1884no—
1325D4—1888no—
1326D4—1888no—
1327D4—1888no—
1328D4—1884no—
1329D4—1888no—
1330D4—1884no—
1331D4—1884no—
1332C2×C4—24no—
1333C2×C4—22no—
1334C2×C4—24no—
1335C2×C4—22no—
1336C2×C4—216no—
1337C2×C4—22no—
1338C2×C4—24no—
1339C2×C4—24no—
1340C2×C4—22no—
1341C2×C4—28no—
1342C2×C4—28no—
1343C2×C4—472no—
1344C2×C4—472no—
1345C2×C4—472no—
1346C2×C4—474no—
1347C2×C4—472no—
1348C2×C4—472no—
1349C2×C4—942no—
1350C2×C4—942no—
1351C2×C4—942no—
1352C2×C4—944no—
1353C2×C4—942no—
1354C2×C4—942no—
1355C2×C4—948no—
1356C2×C4—948no—
1357C2×C4—948no—
1358C2×C4—1888no—
1359C2×C4—1884no—
1360C2×C4—1884no—
1361C2×C4—1888no—
1362C2×C4—1888no—
1363C2×C4—1888no—
1364C2×C4—1888no—
1365C2×C4—1888no—
1366C2×C4—1884no—
1367C2×C4#1309407014yes—
1368C2×C4C24×D4714yes—
1369C2×C4C24×D4712yes—
1370C2×C4C24×D4712yes—
1371C2×C4C24×D4714yes—
1372C2×C4C24×D4714yes—
1373C2×C4C24×D4712yes—
1374C2×C4C24×D4714yes—
1375C2×C4C24×D4712yes—
1376C2×C4C24×D4712yes—
1377C22—22no—
1378C22—22no—
1379C22—28no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—44no—
1384C22—942no—
1385C22—942no—
1386C22—942no—
1387C22—942no—
1388C22—944no—
1389C22—944no—
1390C22—944no—
1391C22—944no—
1392C22—944no—
1393C22—944no—
1394C22—942no—
1395C22—942no—
1396C22—944no—
1397C22—942no—
1398C22—944no—
1399C22—942no—
1400C22—942no—
1401C22—944no—
1402C22—37616no—
1403C22—37616no—
1404C22—18816no—
1405C22—1888no—
1406C22—1888no—
1407C22—1888no—
1408C22—1884no—
1409C22—1884no—
1410C22—1884no—
1411C22C2×#1309407014yes—
1412C22C2×#1309407012yes—
1413C22C2×#1309407012yes—
1414C22#1568996012yes—
1415C22C25×D4711yescharacteristic
1416C4—24no—
1417C4—22no—
1418C4—24no—
1419C4—22no—
1420C4—22no—
1421C4—24no—
1422C4—24no—
1423C4—22no—
1424C4—942no—
1425C4—942no—
1426C4—942no—
1427C4—944no—
1428C4—942no—
1429C4—942no—
1430C4C2×#1309407014yes—
1431C2—24no—
1432C2—42no—
1433C2—1884no—
1434C2—1884no—
1435C2—1884no—
1436C2—1882no—
1437C2—1882no—
1438C2—1882no—
1439C2#2025769814yesdirect product factor
1440C2C22×#1309407011yescharacteristic
1441C2C22×#1309407011yescharacteristic
1442C2C2×#1568996011yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#552C2
socleC23×C47C25
hypercenterC2×#552D47
hypocenterC47C2×#3542
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. #20257698C2direct (N × H)
2. C2×#15689871C2semidirect
3. C2×#15689864C2semidirect
4. C2×#15689836C2semidirect
5. C2×#15689826C2semidirect
6. C2×#15689797C2semidirect
7. C2×#15689795C2semidirect
8. C2×#15689774C2semidirect
9. C2×#15689765C2semidirect
10. C2×#15689764C2semidirect
11. C2×#15689764C2semidirect
12. C2×D4×D188C2semidirect
13. C2×#15689745C2semidirect
14. C2×#15689729C2semidirect
15. C2×#15689729C2semidirect
16. C2×#15689712C2semidirect
17. C2×#15689703C2semidirect
18. C2×#15689692C2semidirect
19. C2×#15689692C2semidirect
20. C2×#15689684C2semidirect
21. C2×#15689636C2semidirect
22. C2×#15689632C2semidirect
23. C22×#13093999C2semidirect
24. C2×C47×#552C2semidirect
25. C22×#10625354C22semidirect
26. C22×#10625354C22semidirect
27. C22×#10625350C22semidirect
28. C22×#10625350C22semidirect
30. C23×D188C22semidirect
31. C23×D188C22semidirect
33. C23×C4×D47C22semidirect
34. #15689871C22semidirect
35. #15689864C22semidirect
36. #15689836C22semidirect
37. #15689826C22semidirect
38. #15689797C22semidirect
39. #15689795C22semidirect
40. #15689774C22semidirect
41. #15689765C22semidirect
42. #15689764C22semidirect
43. #15689764C22semidirect
44. D4×D188C22semidirect
45. #15689745C22semidirect
46. #15689729C22semidirect
47. #15689729C22semidirect
48. #15689712C22semidirect
49. #15689703C22semidirect
50. #15689692C22semidirect
51. #15689692C22semidirect
52. #15689684C22semidirect
53. C2×#13094023C22semidirect
54. C2×#13094021C22semidirect
55. C2×#13094021C22semidirect
56. C2×#13094021C22semidirect
57. C2×#13094019C22semidirect
58. C2×#13094018C22semidirect
59. C2×#13094013C22semidirect
60. C2×#13094012C22semidirect
61. C2×#13094012C22semidirect
62. C2×#13094012C22semidirect
63. C2×#13094010C22semidirect
64. #15689636C22semidirect
65. #15689632C22semidirect
66. C2×#13094009C22semidirect
67. C2×#13094009C22semidirect
68. C2×#13094009C22semidirect
69. C2×#13094009C22semidirect
70. C2×#13094009C22semidirect
71. C2×#13094009C22semidirect
72. C2×#13094009C22semidirect
73. C2×#13094009C22semidirect
74. C2×#13094009C22semidirect
75. C2×#13094007C22semidirect
76. C2×#13094006C22semidirect
77. C2×#13094002C22semidirect
78. C2×#13094002C22semidirect
79. C2×#13094002C22semidirect
80. C2×#13094002C22semidirect
81. C2×#13094001C22semidirect
82. C2×#13094000C22semidirect
85. C2×#13093999C22semidirect
86. C2×#13093999C22semidirect
87. C2×#13093999C22semidirect
88. C2×#13093999C22semidirect
89. C2×#13093999C22semidirect
90. C2×#13093999C22semidirect
91. C2×#13093999C22semidirect
92. C2×#13093999C22semidirect
93. C2×#13093999C22semidirect
94. C2×#13093999C22semidirect
95. C2×#13093999C22semidirect
96. C2×#13093999C22semidirect
97. C2×#13093999C22semidirect
98. C2×#13093999C22semidirect
99. C2×#13093999C22semidirect
100. C2×#13093999C22semidirect
101. C2×#13093999C22semidirect
103. C2×#13093998C22semidirect
104. C2×#13093997C22semidirect
105. C2×#13093997C22semidirect
106. C2×#13093997C22semidirect
107. C2×#13093997C22semidirect
110. C2×#13093994C22semidirect
111. C2×#13093994C22semidirect
112. C2×#13093994C22semidirect
113. C2×#13093994C22semidirect
114. C2×#13093994C22semidirect
115. C2×#13093994C22semidirect
116. C2×#13093994C22semidirect
118. C2×C4×D188C22semidirect
119. C2×C4×D188C22semidirect
120. C2×C4×D188C22semidirect
121. C2×#13093986C22semidirect
122. C2×#13093986C22semidirect
123. C2×#13093986C22semidirect
124. C2×#13093986C22semidirect
125. C2×C4×C22⋊D47C22semidirect
126. C2×C4×C22⋊D47C22semidirect
127. C2×(C22⋊D47)⋊C4C22semidirect
128. C2×#13093982C22semidirect
129. C2×#13093981C22semidirect
130. C2×#13093981C22semidirect
131. C2×C4⋊C4×D47C22semidirect
132. C22×(C2×D47)⋊C4C22semidirect
133. C2×C22⋊C4×D47C22semidirect
134. C2×C22⋊C4×D47C22semidirect
135. C47×#552C22semidirect
136. C2×#126×C47C22semidirect
137. C2×#125×C47C22semidirect
138. C2×#125×C47C22semidirect
140. C2×C22⋊Q8×C47C22semidirect
141. C2×C22⋊Q8×C47C22semidirect
142. C2×C4×Q8×C47C22semidirect
144. C2×#117×C47C22semidirect
145. C2×#117×C47C22semidirect
146. C22×C4⋊C4×C47C22semidirect
152. C2×#10625354C23semidirect
153. C2×#10625354C23semidirect
156. C2×#10625350C23semidirect
157. C2×#10625350C23semidirect
182. C22×D188C23semidirect
183. C22×D188C23semidirect
205. C22×C4×D47C23semidirect
206. #13094023C23semidirect
207. #13094021C23semidirect
208. #13094021C23semidirect
209. #13094021C23semidirect
210. #13094019C23semidirect
211. #13094018C23semidirect
212. #13094013C23semidirect
213. #13094012C23semidirect
214. #13094012C23semidirect
215. #13094012C23semidirect
216. #13094010C23semidirect
217. #13094009C23semidirect
218. #13094009C23semidirect
219. #13094009C23semidirect
220. #13094009C23semidirect
221. #13094009C23semidirect
222. #13094009C23semidirect
223. #13094009C23semidirect
224. #13094009C23semidirect
225. #13094009C23semidirect
226. #13094007C23semidirect
227. #13094006C23semidirect
228. #13094002C23semidirect
229. #13094002C23semidirect
230. #13094002C23semidirect
231. #13094002C23semidirect
232. #13094001C23semidirect
233. #13094000C23semidirect
236. #13093999C23semidirect
237. #13093999C23semidirect
238. #13093999C23semidirect
239. #13093999C23semidirect
240. #13093999C23semidirect
241. #13093999C23semidirect
242. #13093999C23semidirect
243. #13093999C23semidirect
244. #13093999C23semidirect
245. #13093999C23semidirect
246. #13093999C23semidirect
247. #13093999C23semidirect
248. #13093999C23semidirect
249. #13093999C23semidirect
250. #13093999C23semidirect
251. #13093999C23semidirect
253. #13093998C23semidirect
254. #13093997C23semidirect
255. #13093997C23semidirect
256. #13093997C23semidirect
257. #13093997C23semidirect
260. #13093994C23semidirect
261. #13093994C23semidirect
262. #13093994C23semidirect
263. #13093994C23semidirect
264. #13093994C23semidirect
265. #13093994C23semidirect
266. #13093994C23semidirect
268. C4×D188C23semidirect
269. C4×D188C23semidirect
270. C4×D188C23semidirect
271. #13093986C23semidirect
272. #13093986C23semidirect
273. #13093986C23semidirect
274. #13093986C23semidirect
275. C4×C22⋊D47C23semidirect
276. C4×C22⋊D47C23semidirect
277. (C22⋊D47)⋊C4C23semidirect
278. #13093982C23semidirect
279. #13093981C23semidirect
280. #13093981C23semidirect
290. C4⋊C4×D47C23semidirect
315. C2×(C2×D47)⋊C4C23semidirect
316. C22⋊C4×D47C23semidirect
317. C22⋊C4×D47C23semidirect
325. #126×C47C23semidirect
326. #125×C47C23semidirect
327. #125×C47C23semidirect
329. C22⋊Q8×C47C23semidirect
330. C22⋊Q8×C47C23semidirect
331. C4×Q8×C47C23semidirect
333. #117×C47C23semidirect
334. #117×C47C23semidirect
345. C2×C4⋊C4×C47C23semidirect
715. C2×#552D47semidirect
736. C2×C47#3542semidirect
759. #552C2×D47semidirect
781. C2×#126C2×D47semidirect
782. C2×#125C2×D47semidirect
783. C2×#125C2×D47semidirect
809. C2×C22⋊Q8C2×D47semidirect
810. C2×C22⋊Q8C2×D47semidirect
846. C2×C4×Q8C2×D47semidirect
861. C2×#117C2×D47semidirect
862. C2×#117C2×D47semidirect
864. C22×C4⋊C4C2×D47semidirect
868. C47C2×#3542semidirect
939. #126C22×D47semidirect
940. #125C22×D47semidirect
941. #125C22×D47semidirect
965. C22⋊Q8C22×D47semidirect
966. C22⋊Q8C22×D47semidirect
1001. C4×Q8C22×D47semidirect
1016. #117C22×D47semidirect
1017. #117C22×D47semidirect
1038. C2×C4⋊C4C22×D47semidirect
1439. C2#20257698direct (N × H)

Maximal subgroups

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

subgroupindex
#202576982
C2×#156898712
C2×#156898642
C2×#156898362
C2×#156898262
C2×#156897972
C2×#156897952
C2×#156897742
C2×#156897652
C2×#156897642
C2×D4×D1882
C2×#156897452
C2×#156897292
C2×#156897122
C2×#156897032
C2×#156896922
C2×#156896842
C2×#156896362
C2×#156896322
C22×#130939992
C2×C47×#5522
C2×#354247