Finite Group Databasebeta

← C2×#20257905 #27123611

Subgroups — C2×#20257905 #27123611

Order 12032.

8122 conjugacy classes of subgroups.

The subgroup lattice has 1416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257905C2132yesmaximal, direct product factor
2C2×#15689869C212yesmaximal, complemented
3C2×#15689865C212yesmaximal, complemented
4C2×#15689858C211yesmaximal, characteristic, complemented
5C2×#15689855C211yesmaximal, characteristic, complemented
6C2×#15689784C211yesmaximal, characteristic, complemented
7C2×#15689768C212yesmaximal, complemented
8C2×#15689764C211yesmaximal, characteristic, complemented
9C2×#15689762C212yesmaximal, complemented
10C2×#15689761C211yesmaximal, characteristic, complemented
11C2×D4×D188C211yesmaximal, characteristic, complemented
12C2×#15689757C211yesmaximal, characteristic, complemented
13C2×#15689746C211yesmaximal, characteristic, complemented
14C2×#15689745C211yesmaximal, characteristic, complemented
15C2×#15689713C212yesmaximal, complemented
16C2×#15689707C212yesmaximal, complemented
17C2×#15689706C212yesmaximal, complemented
18C2×#15689691C211yesmaximal, characteristic, complemented
19C2×#15689687C211yesmaximal, characteristic, complemented
20C2×#15689681C212yesmaximal, complemented
21C2×#15689668C211yesmaximal, characteristic, complemented
22C2×#15689653C211yesmaximal, characteristic, complemented
23C22×#13094013C211yesmaximal, characteristic, complemented
24C2×C47×#548C211yesmaximal, characteristic, complemented
25C22×#10625354C2211yescharacteristic, complemented
26C22×#10625352C2212yescomplemented
27C23×D188C2211yescharacteristic
28C23×D188C2211yescharacteristic, complemented
29C22×D4×D47C2211yescharacteristic, complemented
30C22×D4×D47C2212yescomplemented
31C22×D4×D47C2212yescomplemented
32#15689869C22132yescomplemented
33#15689865C22132yescomplemented
34#15689858C22116yescomplemented
35#15689855C22116yescomplemented
36#15689784C22116yescomplemented
37#15689768C22132yescomplemented
38#15689764C22116yescomplemented
39#15689762C22132yescomplemented
40#15689761C22116yescomplemented
41D4×D188C22116yescomplemented
42#15689757C22116yescomplemented
43#15689746C22116yescomplemented
44#15689745C22116yescomplemented
45#15689713C22132yescomplemented
46#15689707C22132yescomplemented
47#15689706C22132yescomplemented
48#15689691C22116yescomplemented
49#15689687C22116yescomplemented
50#15689681C22132yescomplemented
51#15689668C22116yescomplemented
52C2×#13094023C2211yescharacteristic, complemented
53C2×#13094021C2211yescharacteristic
54C2×#13094020C2211yescharacteristic
55C2×#13094020C2211yescharacteristic, complemented
56#15689653C22116yescomplemented
57C2×#13094019C2212yescomplemented
58C2×#13094019C2211yescharacteristic, complemented
59C2×#13094018C2212yescomplemented
60C2×#13094017C2211yescharacteristic, complemented
61C2×#13094014C2211yescharacteristic, complemented
62C2×#13094013C2211yescharacteristic, complemented
63C2×#13094013C2211yescharacteristic, complemented
64C2×#13094013C2211yescharacteristic, complemented
65C2×#13094013C2211yescharacteristic, complemented
66C2×#13094013C2212yescomplemented
67C2×#13094013C2211yescharacteristic, complemented
68C2×#13094013C2212yescomplemented
69C2×#13094013C2212yescomplemented
70C2×#13094013C22116yescomplemented
71C2×#13094012C2212yescomplemented
72C2×#13094012C2212yescomplemented
73C2×#13094010C2212yescomplemented
74C2×#13094010C2211yescharacteristic, complemented
75C2×#13094010C2212yescomplemented
76C2×#13094010C2212yescomplemented
77C2×#13094009C2212yescomplemented
78C2×#13094009C2212yescomplemented
79C2×#13094009C2212yescomplemented
80C2×#13094009C2212yescomplemented
81C2×#13094008C2211yescharacteristic, complemented
82C2×#13094008C2212yescomplemented
83C2×#13094007C2212yescomplemented
84C2×#13094006C2212yescomplemented
85C2×#13094006C2212yescomplemented
86C2×#13094005C2211yescharacteristic, complemented
87C2×#13094004C2212yescomplemented
88C2×#13094002C2212yescomplemented
89C2×#13094001C2211yescharacteristic, complemented
90C2×#13094000C2211yescharacteristic, complemented
91C2×#13094000C2212yescomplemented
92C2×#13093999C2211yescharacteristic
93C2×#13093999C2212yescomplemented
94C2×#13093999C2212yescomplemented
95C2×#13093998C2211yescharacteristic
96C2×#13093998C2211yescharacteristic, complemented
97C2×#13093998C2212yescomplemented
98C2×#13093998C2212yescomplemented
99C2×#13093998C2212yescomplemented
100C2×#13093997C2212yescomplemented
101C2×#13093997C2212yescomplemented
102C2×#13093997C2212yescomplemented
103C2×#13093996C2211yescharacteristic
104C2×#13093996C2212yescomplemented
105C2×#13093996C2212yescomplemented
106C2×#13093994C2212yescomplemented
107C2×#13093994C2212yescomplemented
108C2×#13093994C2212yescomplemented
109C2×#13093994C2212yescomplemented
110C2×#13093994C2212yescomplemented
111C2×#13093994C2212yescomplemented
112C2×#13093992C2212yescomplemented
113C2×#13093992C2212yescomplemented
114C2×#13093992C2212yescomplemented
115C2×#13093992C2212yescomplemented
116C2×Q8×Dic47C2211yescharacteristic, complemented
117C2×C4×Dic94C2211yescharacteristic, complemented
118C2×C4×D188C2211yescharacteristic, complemented
119C2×C4×D188C2212yescomplemented
120C2×D4×Dic47C2211yescharacteristic, complemented
121C2×#13093986C2211yescharacteristic, complemented
122C2×#13093986C2211yescharacteristic, complemented
123C2×C4×C22⋊D47C2211yescharacteristic, complemented
124C2×C4×C22⋊D47C2211yescharacteristic, complemented
125C2×C4×C22⋊D47C2212yescomplemented
126C2×(C22⋊D47)⋊C4C2212yescomplemented
127C2×(C22⋊D47)⋊C4C2212yescomplemented
128C2×#13093983C2211yescharacteristic, complemented
129C2×#13093981C2211yescharacteristic, complemented
130C22×(C2×D47)⋊C4C2212yescomplemented
131C22×(C2×D47)⋊C4C2212yescomplemented
132C22×(C2×D47)⋊C4C2212yescomplemented
133C2×C22⋊C4×D47C2212yescomplemented
134C22×C4×Dic47C2211yescharacteristic, complemented
135C22×#41×C47C2211yescharacteristic, complemented
136C23×Q8×C47C2211yescharacteristic, complemented
137C47×#548C22116yescomplemented
138C2×#124×C47C2211yescharacteristic, complemented
139C2×#124×C47C2212yescomplemented
140C2×C22⋊Q8×C47C2211yescharacteristic, complemented
141C2×C22⋊Q8×C47C2212yescomplemented
142C2×#121×C47C2211yescharacteristic, complemented
143C2×#121×C47C2212yescomplemented
144C2×C4×Q8×C47C2211yescharacteristic, complemented
145C2×C4×D4×C47C2211yescharacteristic, complemented
146C2×C4×D4×C47C2212yescomplemented
147C24×D47C2312yes—
148C24×D47C2312yes—
149C24×D47C2312yes—
150C2×#10625354—44no—
151C2×#10625354C2318yescomplemented
152C2×#10625352—48no—
153C2×#10625352C23116yescomplemented
154C22×Dic94C2311yescharacteristic
155C22×Dic94C2312yes—
156C22×D188—44no—
157C22×D188—44no—
158C22×D188C2311yescharacteristic
159C22×D188C2311yescharacteristic
160C22×D188C2311yescharacteristic
161C22×D188C2318yes—
162C22×D188C2312yes—
163C22×D188C2312yes—
164C22×D188C2312yes—
165C22×D188C2312yes—
166C22×D188C2312yes—
167C22×D188C2312yes—
168C22×D188C2318yescomplemented
169C22×C22⋊D47C2312yes—
170C22×C22⋊D47C2311yescharacteristic
171C22×C22⋊D47C2312yes—
172C22×C22⋊D47C2312yes—
173C22×C22⋊D47C2311yescharacteristic
174C22×C22⋊D47C2312yes—
175C22×C22⋊D47C2312yes—
176C22×C22⋊D47C2312yes—
177C22×C22⋊D47C2312yes—
178C2×D4×D47—44no—
179C2×D4×D47—48no—
180C2×D4×D47—48no—
181C2×D4×D47C2318yescomplemented
182C2×D4×D47C23116yescomplemented
183C2×D4×D47C23116yescomplemented
184C23×Dic47C2311yescharacteristic
185C23×Dic47C2311yescharacteristic
186C23×Dic47C2312yes—
187C22×C4×D47C2311yescharacteristic
188C22×C4×D47C2312yes—
189C22×C4×D47C2312yes—
190C22×C4×D47C2312yes—
191C22×C4×D47C2312yes—
192#13094023C2318yescomplemented
193#13094021C2318yes—
194#13094020C2318yes—
195#13094020C2318yescomplemented
196#13094019C23116yescomplemented
197#13094019C2318yescomplemented
198#13094018C23116yescomplemented
199#13094017C2318yescomplemented
200#13094014C2318yescomplemented
201#13094013C2318yescomplemented
202#13094013C2318yescomplemented
203#13094013C2318yescomplemented
204#13094013C2318yescomplemented
205#13094013C2318yescomplemented
206#13094013C23116yescomplemented
207#13094013C23116yescomplemented
208#13094013C23116yescomplemented
209#13094012C23116yescomplemented
210#13094012C23116yescomplemented
211#13094010C23116yescomplemented
212#13094010C23116yescomplemented
213#13094010C2318yescomplemented
214#13094010C23116yescomplemented
215#13094009C23116yescomplemented
216#13094009C23116yescomplemented
217#13094009C23116yescomplemented
218#13094009C23116yescomplemented
219#13094008C2318yescomplemented
220#13094008C23116yescomplemented
221#13094007C23116yescomplemented
222#13094006C23116yescomplemented
223#13094006C23116yescomplemented
224#13094005C2318yescomplemented
225#13094004C23116yescomplemented
226#13094002C23116yescomplemented
227#13094001C2318yescomplemented
228#13094000C2318yescomplemented
229#13094000C23116yescomplemented
230#13093999C2318yes—
231#13093999C23116yescomplemented
232#13093999C23116yescomplemented
233#13093998C2318yes—
234#13093998C2318yescomplemented
235#13093998C23116yescomplemented
236#13093998C23116yescomplemented
237#13093998C23116yescomplemented
238#13093997C23116yescomplemented
239#13093997C23116yescomplemented
240#13093997C23116yescomplemented
241#13093996C2318yes—
242#13093996C23116yescomplemented
243#13093996C23116yescomplemented
244#13093994C23116yescomplemented
245#13093994C23116yescomplemented
246#13093994C23116yescomplemented
247#13093994C23116yescomplemented
248#13093994C23116yescomplemented
249#13093994C23116yescomplemented
250#13093992C23116yescomplemented
251#13093992C23116yescomplemented
252#13093992C23116yescomplemented
253#13093992C23116yescomplemented
254Q8×Dic47C2318yescomplemented
255C4×Dic94C2318yescomplemented
256C4×D188C2318yescomplemented
257C4×D188C23116yescomplemented
258D4×Dic47C2318yescomplemented
259#13093986C2318yescomplemented
260#13093986C2318yescomplemented
261C4×C22⋊D47C2318yescomplemented
262C4×C22⋊D47C2318yescomplemented
263C4×C22⋊D47C23116yescomplemented
264(C22⋊D47)⋊C4C23116yescomplemented
265(C22⋊D47)⋊C4C23116yescomplemented
266#13093983C2318yescomplemented
267#13093981C2318yescomplemented
268C2×C4⋊Dic47C2311yescharacteristic
269C2×C4⋊Dic47C2311yescharacteristic
270C2×C4⋊Dic47C2311yescharacteristic
271C2×C4⋊Dic47C2311yescharacteristic
272C2×C4⋊Dic47C2312yes—
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2312yes—
277C2×Dic47⋊C4C2312yes—
278C2×Dic47⋊C4C2311yescharacteristic
279C2×Dic47⋊C4C2311yescharacteristic
280C2×Dic47⋊C4C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2312yes—
286C2×(C2×D47)⋊C4C2312yes—
287C2×(C2×D47)⋊C4C2312yes—
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2312yes—
290C2×(C2×D47)⋊C4C2312yes—
291C2×(C2×D47)⋊C4C2312yes—
292C2×(C2×D47)⋊C4C2312yes—
293C2×(C2×D47)⋊C4C2312yes—
294C2×(C2×D47)⋊C4C2312yes—
295C2×(C2×D47)⋊C4C2312yes—
296C2×(C2×D47)⋊C4C2312yes—
297C2×(C2×D47)⋊C4C2312yes—
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2312yes—
301C2×(C2×D47)⋊C4C2312yes—
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2312yes—
304C2×(C2×D47)⋊C4C2312yes—
305C2×(C2×D47)⋊C4C2312yes—
306C2×(C2×D47)⋊C4C2312yes—
307C2×(C2×D47)⋊C4C23116yescomplemented
308C2×(C2×D47)⋊C4C23116yescomplemented
309C2×(C2×D47)⋊C4C23116yescomplemented
310C22⋊C4×D47C23116yescomplemented
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2312yes—
317C2×C4×Dic47C2318yescomplemented
318C2×#41×C47—44no—
319C2×#41×C47C2318yescomplemented
320C22×Q8×C47—44no—
321C22×Q8×C47C2311yescharacteristic
322C22×Q8×C47C2311yescharacteristic
323C22×Q8×C47C2312yes—
324C22×Q8×C47C2318yescomplemented
325C22×D4×C47C2312yes—
326C22×D4×C47C2311yescharacteristic
327C22×D4×C47C2311yescharacteristic
328C22×D4×C47C2312yes—
329C23×C4×C47C2311yescharacteristic
330C23×C4×C47C2311yescharacteristic
331C23×C4×C47C2312yes—
332C23×C4×C47C2312yes—
333#124×C47C2318yescomplemented
334#124×C47C23116yescomplemented
335C22⋊Q8×C47C2318yescomplemented
336C22⋊Q8×C47C23116yescomplemented
337#121×C47C2318yescomplemented
338#121×C47C23116yescomplemented
339C4×Q8×C47C2318yescomplemented
340C4×D4×C47C2318yescomplemented
341C4×D4×C47C23116yescomplemented
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2312yes—
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2312yes—
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2312yes—
349C2×C22⋊C4×C47C2312yes—
350C2×C22⋊C4×C47C2312yes—
351C2×C22⋊C4×C47C2312yes—
352C2×C42×C47C2311yescharacteristic
353C2×C42×C47C2312yes—
354C24×C47C2411yescharacteristic
355C24×C47C2412yes—
356C24×C47C2411yescharacteristic
357C23×D47—28no—
358C23×D47—44no—
359C23×D47—44no—
360C23×D47—44no—
361C23×D47—44no—
362C23×D47—44no—
363C23×D47—44no—
364C23×D47—44no—
365C23×D47—44no—
366C23×D47C2411yescharacteristic
367C23×D47C2412yes—
368C23×D47C2412yes—
369C23×D47C2412yes—
370C23×D47C2418yes—
371C23×D47C2418yes—
372C23×D47C2418yes—
373#41×C47—416no—
374C2×Q8×C47—24no—
375C2×Q8×C47—24no—
376C2×Q8×C47—44no—
377C2×Q8×C47—416no—
378C2×Q8×C47C2414yes—
379C2×Q8×C47C2414yes—
380C2×Q8×C47C2418yes—
381C2×D4×C47—24no—
382C2×D4×C47—28no—
383C2×D4×C47—24no—
384C2×D4×C47—44no—
385C2×D4×C47C2418yes—
386C2×D4×C47C2414yes—
387C2×D4×C47C2414yes—
388C2×D4×C47C2418yes—
389C22×C4×C47—24no—
390C22×C4×C47—24no—
391C22×C4×C47—44no—
392C22×C4×C47—44no—
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2412yes—
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2412yes—
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2412yes—
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2414yes—
401C22×C4×C47C2414yes—
402C22×C4×C47C2418yes—
403C22×C4×C47C2418yes—
404C22×C4×C47C2411yescharacteristic
405C2×C22⋊D47—24no—
406C2×C22⋊D47—28no—
407C2×C22⋊D47—44no—
408C2×C22⋊D47—44no—
409C2×C22⋊D47—44no—
410C2×C22⋊D47—42no—
411C2×C22⋊D47—44no—
412C2×C22⋊D47—44no—
413C2×C22⋊D47—44no—
414C2×C22⋊D47C2418yes—
415C2×C22⋊D47C2414yes—
416C2×C22⋊D47C2418yes—
417C2×C22⋊D47C2418yes—
418C2×C22⋊D47C2414yes—
419C2×C22⋊D47C2418yes—
420C2×C22⋊D47C2418yes—
421C2×C22⋊D47C2418yes—
422C2×C22⋊D47C2418yes—
423C22×Dic47—24no—
424C22×Dic47—42no—
425C22×Dic47—44no—
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2412yes—
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2414yes—
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2414yes—
436C22×Dic47C2418yes—
437#10625354—416no—
438#10625352—432no—
439D4×D47—416no—
440D4×D47—432no—
441D4×D47—432no—
442C2×D188—24no—
443C2×D188—24no—
444C2×D188—24no—
445C2×D188—416no—
446C2×D188—416no—
447C2×D188—44no—
448C2×D188—44no—
449C2×D188—44no—
450C2×D188—44no—
451C2×D188—44no—
452C2×D188—44no—
453C2×D188C2414yes—
454C2×D188C2414yes—
455C2×D188C2414yes—
456C2×D188C2418yes—
457C2×D188C2418yes—
458C2×D188C2418yes—
459C2×D188C2418yes—
460C2×D188C2418yes—
461C2×D188C2418yes—
462C2×C4×D47—24no—
463C2×C4×D47—44no—
464C2×C4×D47—44no—
465C2×C4×D47—44no—
466C2×C4×D47—44no—
467C2×C4×D47C2414yes—
468C2×C4×D47C2418yes—
469C2×C4×D47C2418yes—
470C2×C4×D47C2418yes—
471C2×C4×D47C2418yes—
472C2×Dic94—42no—
473C2×Dic94—44no—
474C2×Dic94C2414yes—
475C2×Dic94C2418yes—
476C4⋊C4×C47C2414yes—
477C4⋊C4×C47C2418yes—
478C4⋊C4×C47C2414yes—
479C4⋊C4×C47C2418yes—
480C22⋊C4×C47C2414yes—
481C22⋊C4×C47C2414yes—
482C22⋊C4×C47C2418yes—
483C22⋊C4×C47C2418yes—
484C22⋊C4×C47C2418yes—
485C22⋊C4×C47C2418yes—
486C42×C47C2414yes—
487C42×C47C2418yes—
488C22⋊Dic47C2414yes—
489C22⋊Dic47C2414yes—
490C22⋊Dic47C2414yes—
491C22⋊Dic47C2414yes—
492C22⋊Dic47C2418yes—
493(C2×D47)⋊C4C2418yes—
494(C2×D47)⋊C4C2418yes—
495(C2×D47)⋊C4C2414yes—
496(C2×D47)⋊C4C2418yes—
497(C2×D47)⋊C4C2418yes—
498(C2×D47)⋊C4C2418yes—
499(C2×D47)⋊C4C2418yes—
500(C2×D47)⋊C4C2418yes—
501(C2×D47)⋊C4C2418yes—
502(C2×D47)⋊C4C2418yes—
503(C2×D47)⋊C4C2418yes—
504(C2×D47)⋊C4C2418yes—
505(C2×D47)⋊C4C2414yes—
506(C2×D47)⋊C4C2414yes—
507(C2×D47)⋊C4C2418yes—
508(C2×D47)⋊C4C2418yes—
509(C2×D47)⋊C4C2414yes—
510(C2×D47)⋊C4C2418yes—
511(C2×D47)⋊C4C2418yes—
512(C2×D47)⋊C4C2418yes—
513(C2×D47)⋊C4C2418yes—
514C4⋊Dic47C2414yes—
515C4⋊Dic47C2414yes—
516C4⋊Dic47C2414yes—
517C4⋊Dic47C2414yes—
518C4⋊Dic47C2418yes—
519Dic47⋊C4C2414yes—
520Dic47⋊C4C2414yes—
521Dic47⋊C4C2414yes—
522Dic47⋊C4C2418yes—
523Dic47⋊C4C2418yes—
524Dic47⋊C4C2414yes—
525Dic47⋊C4C2414yes—
526Dic47⋊C4C2414yes—
527C4×Dic47C2414yes—
528C4×Dic47C2414yes—
529C4×Dic47C2414yes—
530C4×Dic47C2414yes—
531C4×Dic47C2414yes—
532C4×Dic47C2418yes—
533C23×C47—22no—
534C23×C47—22no—
535C23×C47—24no—
536C23×C47—22no—
537C23×C47—24no—
538C23×C47—22no—
539C23×C47—24no—
540C23×C47—22no—
541C23×C47H(5,𝔽2)14yes—
542C23×C47C2512yes—
543C23×C47C2514yes—
544C23×C47C2512yes—
545C23×C47C2511yescharacteristic
546C22×D47—22no—
547C22×D47—24no—
548C22×D47—24no—
549C22×D47—24no—
550C22×D47—24no—
551C22×D47—24no—
552C22×D47—24no—
553C22×D47—22no—
554C22×D47—24no—
555C22×D47—24no—
556C22×D47—22no—
557C22×D47—24no—
558C22×D47—216no—
559C22×D47—48no—
560C22×D47—48no—
561C22×D47—48no—
562C22×D47—48no—
563C22×D47—48no—
564C22×D47—48no—
565C22×D47—48no—
566C22×D47—48no—
567C22×D47—816no—
568C22×D47—816no—
569C22×D47—816no—
570C22×D47C2512yes—
571C22×D47C2514yes—
572C22×D47C2514yes—
573C22×D47C2514yes—
574Q8×C47—28no—
575Q8×C47—28no—
576Q8×C47—48no—
577D4×C47—28no—
578D4×C47—216no—
579D4×C47—28no—
580D4×C47—48no—
581C2×C4×C47—24no—
582C2×C4×C47—22no—
583C2×C4×C47—24no—
584C2×C4×C47—22no—
585C2×C4×C47—22no—
586C2×C4×C47—24no—
587C2×C4×C47—22no—
588C2×C4×C47—28no—
589C2×C4×C47—28no—
590C2×C4×C47—48no—
591C2×C4×C47—48no—
592C2×C4×C47H(5,𝔽2)14yes—
593C2×C4×C47C2512yes—
594C2×C4×C47C2514yes—
595C2×C4×C47C2512yes—
596C2×C4×C47C2512yes—
597C2×C4×C47C2512yes—
598C2×C4×C47C2514yes—
599C2×C4×C47C2514yes—
600C2×C4×C47C2512yes—
601C22⋊D47—28no—
602C22⋊D47—216no—
603C22⋊D47—48no—
604C22⋊D47—48no—
605C22⋊D47—48no—
606C22⋊D47—48no—
607C22⋊D47—44no—
608C22⋊D47—48no—
609C22⋊D47—48no—
610C2×Dic47—22no—
611C2×Dic47—24no—
612C2×Dic47—22no—
613C2×Dic47—22no—
614C2×Dic47—22no—
615C2×Dic47—28no—
616C2×Dic47—22no—
617C2×Dic47—22no—
618C2×Dic47—22no—
619C2×Dic47—48no—
620C2×Dic47—44no—
621C2×Dic47C2512yes—
622C2×Dic47C2512yes—
623C2×Dic47C2512yes—
624C2×Dic47C2512yes—
625C2×Dic47C2512yes—
626C2×Dic47C2512yes—
627C2×Dic47C2514yes—
628C2×Dic47C2512yes—
629D188—28no—
630D188—28no—
631D188—28no—
632D188—48no—
633D188—48no—
634D188—48no—
635D188—48no—
636D188—48no—
637D188—48no—
638C4×D47—28no—
639C4×D47—48no—
640C4×D47—48no—
641C4×D47—48no—
642C4×D47—48no—
643Dic94—44no—
644Dic94—48no—
645C2×#3558—471nomaximal, Sylow
646C22×C47—22no—
647C22×C47—22no—
648C22×C47—28no—
649C22×C47—24no—
650C22×C47—22no—
651C22×C47—24no—
652C22×C47—22no—
653C22×C47—24no—
654C22×C47—22no—
655C22×C47—44no—
656C22×C47—48no—
657C22×C47C2×H(5,𝔽2)12yes—
658C22×C47C2×H(5,𝔽2)14yes—
659C22×C47C2×H(5,𝔽2)12yes—
660C22×C47#58512yes—
661C22×C47C2611yescharacteristic
662C2×D47—22no—
663C2×D47—24no—
664C2×D47—24no—
665C2×D47—24no—
666C2×D47—24no—
667C2×D47—24no—
668C2×D47—24no—
669C2×D47—22no—
670C2×D47—24no—
671C2×D47—24no—
672C2×D47—22no—
673C2×D47—24no—
674C2×D47—48no—
675C2×D47—44no—
676C2×D47—48no—
677C2×D47—48no—
678C2×D47—816no—
679C2×D47—816no—
680C2×D47—816no—
681C4×C47—24no—
682C4×C47—22no—
683C4×C47—24no—
684C4×C47—22no—
685C4×C47—22no—
686C4×C47—24no—
687C4×C47—22no—
688C4×C47C2×H(5,𝔽2)14yes—
689Dic47—22no—
690Dic47—24no—
691Dic47—22no—
692Dic47—22no—
693Dic47—22no—
694Dic47—22no—
695Dic47—22no—
696Dic47—22no—
697#3558—4732no—
698C2×#562—472no—
699C2×H(3,𝔽4)—472no—
700C2×#559—471no—
701C2×#559—471no—
702C2×#548—471no—
703C2×#548D4711yescharacteristic, complemented
704C2×#546—471no—
705C2×#546—471no—
706C2×#546—472no—
707C2×#546—472no—
708C2×D42—471no—
709C2×D42—471no—
710C2×#542—471no—
711C2×#542—471no—
712C2×#538—472no—
713C2×#538—472no—
714C2×#538—472no—
715C2×#535—471no—
716C2×#535—471no—
717C2×#534—472no—
718C2×#532—471no—
719C2×#529—471no—
720C22×#124—471no—
721C2×C47—24no—
722C2×C47—42no—
723C2×C47—44no—
724C2×C47#355814yescomplemented
725C2×C47C22×H(5,𝔽2)11yescharacteristic
726C2×C47C22×H(5,𝔽2)11yescharacteristic
727C2×C47C2×#58511yescharacteristic
728D47—44no—
729D47—42no—
730D47—44no—
731D47—44no—
732C22×#41—471no—
733C22×#41—472no—
734C22×#41C2×D4711yescharacteristic, complemented
735C23×Q8C2×D4711yescharacteristic, complemented
736C23×D4—472no—
737C23×D4—472no—
738C23×D4—471no—
739C23×D4—471no—
740C23×D4—471no—
741#562—4732no—
742H(3,𝔽4)—4732no—
743#559—4716no—
744#559—4716no—
745#548—4716no—
746#548C2×D47116yescomplemented
747#546—4716no—
748#546—4716no—
749#546—4732no—
750#546—4732no—
751D42—4716no—
752D42—4716no—
753#542—4716no—
754#542—4716no—
755#538—4732no—
756#538—4732no—
757#538—4732no—
758#535—4716no—
759#535—4716no—
760#534—4732no—
761#532—4716no—
762C2×C4⋊Q8—471no—
763C2×#127—471no—
764C2×#127—471no—
765C2×#127—471no—
766#529—4716no—
767C2×#126—471no—
768C2×#126—472no—
769C2×#126—471no—
770C2×#126—472no—
771C2×#125—471no—
772C2×#124—471no—
773C2×#124—471no—
774C2×#124—472no—
775C2×#124—471no—
776C2×#124—471no—
777C2×#124—472no—
778C2×#124—471no—
779C2×#124—472no—
780C2×#124—4716no—
781C2×#124—471no—
782C2×#124—472no—
783C2×#124—472no—
784C2×#124—472no—
785C2×#124—472no—
786C2×#124—472no—
787C2×#124C2×D4711yescharacteristic, complemented
788C2×#124C2×D4712yescomplemented
789C2×#123—471no—
790C2×#123—472no—
791C2×#123—472no—
792C2×#123—472no—
793C2×#123—472no—
794C2×#123—472no—
795C2×#123—471no—
796C2×#123—472no—
797C2×#123—472no—
798C2×#123—472no—
799C2×C22⋊Q8—472no—
800C2×C22⋊Q8—471no—
801C2×C22⋊Q8—472no—
802C2×C22⋊Q8—472no—
803C2×C22⋊Q8—471no—
804C2×C22⋊Q8C2×D4712yescomplemented
805C2×C22⋊Q8C2×D4711yescharacteristic, complemented
806C2×#121—471no—
807C2×#121—472no—
808C2×#121—472no—
809C2×#121—471no—
810C2×#121—472no—
811C2×#121—472no—
812C2×#121—472no—
813C2×#121—471no—
814C2×#121—472no—
815C2×#121—472no—
816C2×#121—471no—
817C2×#121—472no—
818C2×#121—472no—
819C2×#121—472no—
820C2×#121C2×D4711yescharacteristic, complemented
821C2×#121C2×D4712yescomplemented
822C2×#120—472no—
823C2×#120—472no—
824C2×#120—472no—
825C2×#120—472no—
826C2×#120—472no—
827C2×#120—472no—
828C2×#120—472no—
829C2×#120—472no—
830C2×#120—472no—
831C2×#120—472no—
832C2×C4×Q8—471no—
833C2×C4×Q8—471no—
834C2×C4×Q8C2×D4711yescharacteristic, complemented
835C2×C4×D4—471no—
836C2×C4×D4—471no—
837C2×C4×D4—471no—
838C2×C4×D4—472no—
839C2×C4×D4—471no—
840C2×C4×D4—471no—
841C2×C4×D4—472no—
842C2×C4×D4—472no—
843C2×C4×D4—472no—
844C2×C4×D4—471no—
845C2×C4×D4C2×D4711yescharacteristic, complemented
846C2×C4×D4C2×D4712yescomplemented
847C2×#117—471no—
848C2×#117—471no—
849C22×C22⋊C4—472no—
850C22×C22⋊C4—472no—
851C22×C22⋊C4—472no—
852C22×C22⋊C4—472no—
853C22×C42—471no—
854C47C2×#355811yescharacteristic, complemented, Sylow
855C25—472no—
856C25—472no—
857C25—472no—
858C2×#41—44no—
859C2×#41—478no—
860C2×#41—4716no—
861C2×#41—1888no—
862C2×#41—1884no—
863C2×#41C22×D4718yescomplemented
864C22×Q8—44no—
865C22×Q8—471no—
866C22×Q8—472no—
867C22×Q8C22×D4711yescharacteristic
868C22×Q8C22×D4711yescharacteristic
869C22×Q8C22×D4712yes—
870C22×Q8C22×D4718yescomplemented
871C22×D4—472no—
872C22×D4—471no—
873C22×D4—471no—
874C22×D4—472no—
875C22×D4—472no—
876C22×D4—472no—
877C22×D4—472no—
878C22×D4—472no—
879C22×D4—472no—
880C22×D4—4716no—
881C22×D4—4716no—
882C22×D4—478no—
883C22×D4—471no—
884C22×D4—471no—
885C22×D4—471no—
886C22×D4—472no—
887C22×D4—472no—
888C22×D4—472no—
889C22×D4—472no—
890C22×D4—472no—
891C22×D4—472no—
892C22×D4—478no—
893C22×D4—478no—
894C22×D4—1884no—
895C22×D4—1884no—
896C22×D4—1884no—
897C22×D4—1888no—
898C22×D4—1888no—
899C22×D4C22×D4711yescharacteristic
900C22×D4C22×D4712yes—
901C22×D4C22×D4711yescharacteristic
902C22×D4C22×D4712yes—
903C23×C4—471no—
904C23×C4—471no—
905C23×C4—472no—
906C23×C4—471no—
907C23×C4—472no—
908C23×C4—472no—
909C23×C4—472no—
910C23×C4—472no—
911C23×C4C22×D4711yescharacteristic
912C23×C4C22×D4711yescharacteristic
913C23×C4C22×D4712yes—
914C23×C4C22×D4712yes—
915C4⋊Q8—478no—
916#127—478no—
917#127—478no—
918#127—478no—
919#126—478no—
920#126—4716no—
921#126—478no—
922#126—4716no—
923#125—478no—
924#124—478no—
925#124—478no—
926#124—4716no—
927#124—478no—
928#124—478no—
929#124—4716no—
930#124—478no—
931#124—4716no—
932#124—478no—
933#124—4716no—
934#124—4716no—
935#124—4716no—
936#124—4716no—
937#124—4716no—
938#124C22×D4718yescomplemented
939#124C22×D47116yescomplemented
940#123—478no—
941#123—4716no—
942#123—4716no—
943#123—4716no—
944#123—4716no—
945#123—4716no—
946#123—478no—
947#123—4716no—
948#123—4716no—
949#123—4716no—
950C22⋊Q8—4716no—
951C22⋊Q8—478no—
952C22⋊Q8—4716no—
953C22⋊Q8—4716no—
954C22⋊Q8—478no—
955C22⋊Q8C22×D47116yescomplemented
956C22⋊Q8C22×D4718yescomplemented
957#121—478no—
958#121—4716no—
959#121—4716no—
960#121—478no—
961#121—4716no—
962#121—4716no—
963#121—4716no—
964#121—478no—
965#121—4716no—
966#121—4716no—
967#121—478no—
968#121—4716no—
969#121—4716no—
970#121—4716no—
971#121C22×D4718yescomplemented
972#121C22×D47116yescomplemented
973#120—4716no—
974#120—4716no—
975#120—4716no—
976#120—4716no—
977#120—4716no—
978#120—4716no—
979#120—4716no—
980#120—4716no—
981#120—4716no—
982#120—4716no—
983C4×Q8—478no—
984C4×Q8—478no—
985C4×Q8C22×D4718yescomplemented
986C4×D4—478no—
987C4×D4—478no—
988C4×D4—478no—
989C4×D4—4716no—
990C4×D4—478no—
991C4×D4—478no—
992C4×D4—4716no—
993C4×D4—4716no—
994C4×D4—4716no—
995C4×D4—478no—
996C4×D4C22×D4718yescomplemented
997C4×D4C22×D47116yescomplemented
998#117—478no—
999#117—478no—
1000C2×C4⋊C4—471no—
1001C2×C4⋊C4—471no—
1002C2×C4⋊C4—471no—
1003C2×C4⋊C4—471no—
1004C2×C4⋊C4—471no—
1005C2×C4⋊C4—471no—
1006C2×C4⋊C4—471no—
1007C2×C4⋊C4—471no—
1008C2×C4⋊C4—472no—
1009C2×C4⋊C4—472no—
1010C2×C4⋊C4—471no—
1011C2×C4⋊C4—472no—
1012C2×C4⋊C4—471no—
1013C2×C4⋊C4C22×D4711yescharacteristic
1014C2×C4⋊C4C22×D4711yescharacteristic
1015C2×C4⋊C4C22×D4712yes—
1016C2×C4⋊C4C22×D4712yes—
1017C2×C22⋊C4—471no—
1018C2×C22⋊C4—471no—
1019C2×C22⋊C4—471no—
1020C2×C22⋊C4—471no—
1021C2×C22⋊C4—472no—
1022C2×C22⋊C4—471no—
1023C2×C22⋊C4—472no—
1024C2×C22⋊C4—472no—
1025C2×C22⋊C4—472no—
1026C2×C22⋊C4—472no—
1027C2×C22⋊C4—472no—
1028C2×C22⋊C4—472no—
1029C2×C22⋊C4—472no—
1030C2×C22⋊C4—472no—
1031C2×C22⋊C4—472no—
1032C2×C22⋊C4—472no—
1033C2×C22⋊C4—472no—
1034C2×C22⋊C4—4716no—
1035C2×C22⋊C4—4716no—
1036C2×C22⋊C4—4716no—
1037C2×C22⋊C4—471no—
1038C2×C22⋊C4—471no—
1039C2×C22⋊C4—472no—
1040C2×C22⋊C4—472no—
1041C2×C22⋊C4—471no—
1042C2×C22⋊C4—472no—
1043C2×C22⋊C4—472no—
1044C2×C22⋊C4—472no—
1045C2×C22⋊C4—472no—
1046C2×C22⋊C4—4716no—
1047C2×C22⋊C4C22×D4712yes—
1048C2×C22⋊C4C22×D4712yes—
1049C2×C22⋊C4C22×D4712yes—
1050C2×C22⋊C4C22×D4711yescharacteristic
1051C2×C22⋊C4C22×D4711yescharacteristic
1052C2×C22⋊C4C22×D4712yes—
1053C2×C42—471no—
1054C2×C42—471no—
1055C2×C42—471no—
1056C2×C42—472no—
1057C2×C42—471no—
1058C2×C42—471no—
1059C2×C42—478no—
1060C2×C42C22×D4711yescharacteristic
1061C2×C42C22×D4712yes—
1062C24—471no—
1063C24—472no—
1064C24—472no—
1065C24—472no—
1066C24—478no—
1067C24—478no—
1068C24—478no—
1069C24—948no—
1070C24—1884no—
1071C24—1884no—
1072C24—1884no—
1073C24—1884no—
1074C24—1884no—
1075C24—1884no—
1076C24—1884no—
1077C24—1884no—
1078C24C23×D4711yescharacteristic
1079C24C23×D4712yes—
1080C24C23×D4711yescharacteristic
1081#41—416no—
1082#41—18832no—
1083#41—18816no—
1084C2×Q8—24no—
1085C2×Q8—24no—
1086C2×Q8—44no—
1087C2×Q8—416no—
1088C2×Q8—474no—
1089C2×Q8—478no—
1090C2×Q8—1882no—
1091C2×Q8—1884no—
1092C2×Q8C23×D4714yes—
1093C2×Q8C23×D4714yes—
1094C2×Q8C23×D4718yes—
1095C2×D4—24no—
1096C2×D4—28no—
1097C2×D4—24no—
1098C2×D4—44no—
1099C2×D4—478no—
1100C2×D4—474no—
1101C2×D4—474no—
1102C2×D4—478no—
1103C2×D4—478no—
1104C2×D4—478no—
1105C2×D4—478no—
1106C2×D4—478no—
1107C2×D4—478no—
1108C2×D4—474no—
1109C2×D4—474no—
1110C2×D4—474no—
1111C2×D4—478no—
1112C2×D4—478no—
1113C2×D4—478no—
1114C2×D4—478no—
1115C2×D4—478no—
1116C2×D4—478no—
1117C2×D4—944no—
1118C2×D4—948no—
1119C2×D4—944no—
1120C2×D4—944no—
1121C2×D4—944no—
1122C2×D4—18816no—
1123C2×D4—18816no—
1124C2×D4—1884no—
1125C2×D4—1884no—
1126C2×D4—1884no—
1127C2×D4—1884no—
1128C2×D4—1884no—
1129C2×D4—1884no—
1130C2×D4—18816no—
1131C2×D4—1884no—
1132C2×D4—1882no—
1133C2×D4—1884no—
1134C2×D4—1884no—
1135C2×D4—1884no—
1136C2×D4—1884no—
1137C2×D4—1884no—
1138C2×D4—18832no—
1139C2×D4—18832no—
1140C2×D4C23×D4714yes—
1141C2×D4C23×D4718yes—
1142C2×D4C23×D4714yes—
1143C2×D4C23×D4718yes—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—474no—
1149C22×C4—471no—
1150C22×C4—471no—
1151C22×C4—471no—
1152C22×C4—471no—
1153C22×C4—471no—
1154C22×C4—472no—
1155C22×C4—471no—
1156C22×C4—471no—
1157C22×C4—474no—
1158C22×C4—478no—
1159C22×C4—474no—
1160C22×C4—478no—
1161C22×C4—478no—
1162C22×C4—478no—
1163C22×C4—478no—
1164C22×C4—944no—
1165C22×C4—944no—
1166C22×C4—1884no—
1167C22×C4—1884no—
1168C22×C4—1884no—
1169C22×C4—1884no—
1170C22×C4—1882no—
1171C22×C4—1884no—
1172C22×C4C23×D4714yes—
1173C22×C4C23×D4714yes—
1174C22×C4C23×D4711yescharacteristic
1175C22×C4C23×D4712yes—
1176C22×C4C23×D4711yescharacteristic
1177C22×C4C23×D4712yes—
1178C22×C4C23×D4712yes—
1179C22×C4C23×D4711yescharacteristic
1180C22×C4C23×D4711yescharacteristic
1181C22×C4C23×D4718yes—
1182C22×C4C23×D4718yes—
1183C22×C4C23×D4711yescharacteristic
1184C4⋊C4—474no—
1185C4⋊C4—474no—
1186C4⋊C4—474no—
1187C4⋊C4—474no—
1188C4⋊C4—478no—
1189C4⋊C4—478no—
1190C4⋊C4—474no—
1191C4⋊C4—474no—
1192C4⋊C4—474no—
1193C4⋊C4—474no—
1194C4⋊C4—474no—
1195C4⋊C4—474no—
1196C4⋊C4—478no—
1197C4⋊C4C23×D4714yes—
1198C4⋊C4C23×D4714yes—
1199C4⋊C4C23×D4718yes—
1200C4⋊C4C23×D4718yes—
1201C22⋊C4—474no—
1202C22⋊C4—474no—
1203C22⋊C4—474no—
1204C22⋊C4—474no—
1205C22⋊C4—478no—
1206C22⋊C4—474no—
1207C22⋊C4—478no—
1208C22⋊C4—478no—
1209C22⋊C4—478no—
1210C22⋊C4—478no—
1211C22⋊C4—478no—
1212C22⋊C4—478no—
1213C22⋊C4—478no—
1214C22⋊C4—478no—
1215C22⋊C4—478no—
1216C22⋊C4—478no—
1217C22⋊C4—478no—
1218C22⋊C4—474no—
1219C22⋊C4—474no—
1220C22⋊C4—478no—
1221C22⋊C4—478no—
1222C22⋊C4—474no—
1223C22⋊C4—478no—
1224C22⋊C4—478no—
1225C22⋊C4—478no—
1226C22⋊C4—478no—
1227C22⋊C4C23×D4718yes—
1228C22⋊C4C23×D4718yes—
1229C22⋊C4C23×D4718yes—
1230C22⋊C4C23×D4714yes—
1231C22⋊C4C23×D4714yes—
1232C22⋊C4C23×D4718yes—
1233C42—474no—
1234C42—474no—
1235C42—474no—
1236C42—474no—
1237C42—474no—
1238C42—478no—
1239C42C23×D4714yes—
1240C42C23×D4718yes—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—24no—
1245C23—24no—
1246C23—22no—
1247C23—24no—
1248C23—22no—
1249C23—472no—
1250C23—474no—
1251C23—474no—
1252C23—474no—
1253C23—9416no—
1254C23—942no—
1255C23—944no—
1256C23—944no—
1257C23—944no—
1258C23—944no—
1259C23—944no—
1260C23—944no—
1261C23—942no—
1262C23—944no—
1263C23—944no—
1264C23—942no—
1265C23—944no—
1266C23—37616no—
1267C23—37616no—
1268C23—37616no—
1269C23—1888no—
1270C23—1888no—
1271C23—1888no—
1272C23—1888no—
1273C23—1888no—
1274C23—1888no—
1275C23—1888no—
1276C23—1888no—
1277C23#1309407014yes—
1278C23C24×D4712yes—
1279C23C24×D4714yes—
1280C23C24×D4712yes—
1281C23C24×D4711yescharacteristic
1282Q8—28no—
1283Q8—28no—
1284Q8—48no—
1285Q8—1884no—
1286Q8—1888no—
1287D4—28no—
1288D4—216no—
1289D4—28no—
1290D4—48no—
1291D4—948no—
1292D4—9416no—
1293D4—948no—
1294D4—948no—
1295D4—948no—
1296D4—1888no—
1297D4—1888no—
1298D4—1888no—
1299D4—1888no—
1300D4—1888no—
1301D4—1888no—
1302D4—1888no—
1303D4—1884no—
1304D4—1888no—
1305D4—1888no—
1306D4—1888no—
1307D4—1888no—
1308D4—1888no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—24no—
1312C2×C4—24no—
1313C2×C4—22no—
1314C2×C4—24no—
1315C2×C4—22no—
1316C2×C4—28no—
1317C2×C4—28no—
1318C2×C4—48no—
1319C2×C4—48no—
1320C2×C4—472no—
1321C2×C4—472no—
1322C2×C4—472no—
1323C2×C4—472no—
1324C2×C4—472no—
1325C2×C4—474no—
1326C2×C4—472no—
1327C2×C4—472no—
1328C2×C4—942no—
1329C2×C4—942no—
1330C2×C4—942no—
1331C2×C4—948no—
1332C2×C4—942no—
1333C2×C4—944no—
1334C2×C4—942no—
1335C2×C4—942no—
1336C2×C4—942no—
1337C2×C4—948no—
1338C2×C4—1888no—
1339C2×C4—1888no—
1340C2×C4—1888no—
1341C2×C4—1888no—
1342C2×C4—1884no—
1343C2×C4—1888no—
1344C2×C4#1309406914yes—
1345C2×C4C24×D4712yes—
1346C2×C4C24×D4714yes—
1347C2×C4C24×D4712yes—
1348C2×C4C24×D4714yes—
1349C2×C4C24×D4714yes—
1350C2×C4C24×D4712yes—
1351C2×C4C24×D4712yes—
1352C2×C4C24×D4712yes—
1353C22—28no—
1354C22—22no—
1355C22—22no—
1356C22—22no—
1357C22—24no—
1358C22—24no—
1359C22—22no—
1360C22—24no—
1361C22—22no—
1362C22—44no—
1363C22—48no—
1364C22—942no—
1365C22—944no—
1366C22—944no—
1367C22—944no—
1368C22—944no—
1369C22—944no—
1370C22—944no—
1371C22—942no—
1372C22—944no—
1373C22—944no—
1374C22—942no—
1375C22—944no—
1376C22—37616no—
1377C22—37616no—
1378C22—37616no—
1379C22—1884no—
1380C22—1888no—
1381C22—1888no—
1382C22—1888no—
1383C22C2×#1309406912yes—
1384C22C2×#1309407014yes—
1385C22C2×#1309407012yes—
1386C22#1568996012yes—
1387C22C25×D4711yescharacteristic
1388C4—22no—
1389C4—22no—
1390C4—24no—
1391C4—24no—
1392C4—22no—
1393C4—24no—
1394C4—22no—
1395C4—942no—
1396C4—942no—
1397C4—942no—
1398C4—942no—
1399C4—944no—
1400C4—942no—
1401C4—942no—
1402C4—942no—
1403C4C2×#1309406914yes—
1404C2—24no—
1405C2—42no—
1406C2—44no—
1407C2—1882no—
1408C2—1884no—
1409C2—1884no—
1410C2—1884no—
1411C2#2025790514yesdirect product factor
1412C2C22×#1309406911yescharacteristic
1413C2C22×#1309407011yescharacteristic
1414C2C2×#1568996011yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#548C2
socleC23×C47C25
hypercenterC2×#548D47
hypocenterC47C2×#3558
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#548

Complements

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

NH ≅ G/Ntype
1. #20257905C2direct (N × H)
2. C2×#15689869C2semidirect
3. C2×#15689865C2semidirect
4. C2×#15689858C2semidirect
5. C2×#15689855C2semidirect
6. C2×#15689784C2semidirect
7. C2×#15689768C2semidirect
8. C2×#15689764C2semidirect
9. C2×#15689762C2semidirect
10. C2×#15689761C2semidirect
11. C2×D4×D188C2semidirect
12. C2×#15689757C2semidirect
13. C2×#15689746C2semidirect
14. C2×#15689745C2semidirect
15. C2×#15689713C2semidirect
16. C2×#15689707C2semidirect
17. C2×#15689706C2semidirect
18. C2×#15689691C2semidirect
19. C2×#15689687C2semidirect
20. C2×#15689681C2semidirect
21. C2×#15689668C2semidirect
22. C2×#15689653C2semidirect
23. C22×#13094013C2semidirect
24. C2×C47×#548C2semidirect
25. C22×#10625354C22semidirect
26. C22×#10625352C22semidirect
28. C23×D188C22semidirect
29. C22×D4×D47C22semidirect
30. C22×D4×D47C22semidirect
31. C22×D4×D47C22semidirect
32. #15689869C22semidirect
33. #15689865C22semidirect
34. #15689858C22semidirect
35. #15689855C22semidirect
36. #15689784C22semidirect
37. #15689768C22semidirect
38. #15689764C22semidirect
39. #15689762C22semidirect
40. #15689761C22semidirect
41. D4×D188C22semidirect
42. #15689757C22semidirect
43. #15689746C22semidirect
44. #15689745C22semidirect
45. #15689713C22semidirect
46. #15689707C22semidirect
47. #15689706C22semidirect
48. #15689691C22semidirect
49. #15689687C22semidirect
50. #15689681C22semidirect
51. #15689668C22semidirect
52. C2×#13094023C22semidirect
55. C2×#13094020C22semidirect
56. #15689653C22semidirect
57. C2×#13094019C22semidirect
58. C2×#13094019C22semidirect
59. C2×#13094018C22semidirect
60. C2×#13094017C22semidirect
61. C2×#13094014C22semidirect
62. C2×#13094013C22semidirect
63. C2×#13094013C22semidirect
64. C2×#13094013C22semidirect
65. C2×#13094013C22semidirect
66. C2×#13094013C22semidirect
67. C2×#13094013C22semidirect
68. C2×#13094013C22semidirect
69. C2×#13094013C22semidirect
70. C2×#13094013C22semidirect
71. C2×#13094012C22semidirect
72. C2×#13094012C22semidirect
73. C2×#13094010C22semidirect
74. C2×#13094010C22semidirect
75. C2×#13094010C22semidirect
76. C2×#13094010C22semidirect
77. C2×#13094009C22semidirect
78. C2×#13094009C22semidirect
79. C2×#13094009C22semidirect
80. C2×#13094009C22semidirect
81. C2×#13094008C22semidirect
82. C2×#13094008C22semidirect
83. C2×#13094007C22semidirect
84. C2×#13094006C22semidirect
85. C2×#13094006C22semidirect
86. C2×#13094005C22semidirect
87. C2×#13094004C22semidirect
88. C2×#13094002C22semidirect
89. C2×#13094001C22semidirect
90. C2×#13094000C22semidirect
91. C2×#13094000C22semidirect
93. C2×#13093999C22semidirect
94. C2×#13093999C22semidirect
96. C2×#13093998C22semidirect
97. C2×#13093998C22semidirect
98. C2×#13093998C22semidirect
99. C2×#13093998C22semidirect
100. C2×#13093997C22semidirect
101. C2×#13093997C22semidirect
102. C2×#13093997C22semidirect
104. C2×#13093996C22semidirect
105. C2×#13093996C22semidirect
106. C2×#13093994C22semidirect
107. C2×#13093994C22semidirect
108. C2×#13093994C22semidirect
109. C2×#13093994C22semidirect
110. C2×#13093994C22semidirect
111. C2×#13093994C22semidirect
112. C2×#13093992C22semidirect
113. C2×#13093992C22semidirect
114. C2×#13093992C22semidirect
115. C2×#13093992C22semidirect
116. C2×Q8×Dic47C22semidirect
117. C2×C4×Dic94C22semidirect
118. C2×C4×D188C22semidirect
119. C2×C4×D188C22semidirect
120. C2×D4×Dic47C22semidirect
121. C2×#13093986C22semidirect
122. C2×#13093986C22semidirect
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×#13093981C22semidirect
130. C22×(C2×D47)⋊C4C22semidirect
131. C22×(C2×D47)⋊C4C22semidirect
132. C22×(C2×D47)⋊C4C22semidirect
133. C2×C22⋊C4×D47C22semidirect
134. C22×C4×Dic47C22semidirect
135. C22×#41×C47C22semidirect
136. C23×Q8×C47C22semidirect
137. C47×#548C22semidirect
138. C2×#124×C47C22semidirect
139. C2×#124×C47C22semidirect
140. C2×C22⋊Q8×C47C22semidirect
141. C2×C22⋊Q8×C47C22semidirect
142. C2×#121×C47C22semidirect
143. C2×#121×C47C22semidirect
144. C2×C4×Q8×C47C22semidirect
145. C2×C4×D4×C47C22semidirect
146. C2×C4×D4×C47C22semidirect
151. C2×#10625354C23semidirect
153. C2×#10625352C23semidirect
168. C22×D188C23semidirect
181. C2×D4×D47C23semidirect
182. C2×D4×D47C23semidirect
183. C2×D4×D47C23semidirect
192. #13094023C23semidirect
195. #13094020C23semidirect
196. #13094019C23semidirect
197. #13094019C23semidirect
198. #13094018C23semidirect
199. #13094017C23semidirect
200. #13094014C23semidirect
201. #13094013C23semidirect
202. #13094013C23semidirect
203. #13094013C23semidirect
204. #13094013C23semidirect
205. #13094013C23semidirect
206. #13094013C23semidirect
207. #13094013C23semidirect
208. #13094013C23semidirect
209. #13094012C23semidirect
210. #13094012C23semidirect
211. #13094010C23semidirect
212. #13094010C23semidirect
213. #13094010C23semidirect
214. #13094010C23semidirect
215. #13094009C23semidirect
216. #13094009C23semidirect
217. #13094009C23semidirect
218. #13094009C23semidirect
219. #13094008C23semidirect
220. #13094008C23semidirect
221. #13094007C23semidirect
222. #13094006C23semidirect
223. #13094006C23semidirect
224. #13094005C23semidirect
225. #13094004C23semidirect
226. #13094002C23semidirect
227. #13094001C23semidirect
228. #13094000C23semidirect
229. #13094000C23semidirect
231. #13093999C23semidirect
232. #13093999C23semidirect
234. #13093998C23semidirect
235. #13093998C23semidirect
236. #13093998C23semidirect
237. #13093998C23semidirect
238. #13093997C23semidirect
239. #13093997C23semidirect
240. #13093997C23semidirect
242. #13093996C23semidirect
243. #13093996C23semidirect
244. #13093994C23semidirect
245. #13093994C23semidirect
246. #13093994C23semidirect
247. #13093994C23semidirect
248. #13093994C23semidirect
249. #13093994C23semidirect
250. #13093992C23semidirect
251. #13093992C23semidirect
252. #13093992C23semidirect
253. #13093992C23semidirect
254. Q8×Dic47C23semidirect
255. C4×Dic94C23semidirect
256. C4×D188C23semidirect
257. C4×D188C23semidirect
258. D4×Dic47C23semidirect
259. #13093986C23semidirect
260. #13093986C23semidirect
261. C4×C22⋊D47C23semidirect
262. C4×C22⋊D47C23semidirect
263. C4×C22⋊D47C23semidirect
264. (C22⋊D47)⋊C4C23semidirect
265. (C22⋊D47)⋊C4C23semidirect
266. #13093983C23semidirect
267. #13093981C23semidirect
307. C2×(C2×D47)⋊C4C23semidirect
308. C2×(C2×D47)⋊C4C23semidirect
309. C2×(C2×D47)⋊C4C23semidirect
310. C22⋊C4×D47C23semidirect
317. C2×C4×Dic47C23semidirect
319. C2×#41×C47C23semidirect
324. C22×Q8×C47C23semidirect
333. #124×C47C23semidirect
334. #124×C47C23semidirect
335. C22⋊Q8×C47C23semidirect
336. C22⋊Q8×C47C23semidirect
337. #121×C47C23semidirect
338. #121×C47C23semidirect
339. C4×Q8×C47C23semidirect
340. C4×D4×C47C23semidirect
341. C4×D4×C47C23semidirect
703. C2×#548D47semidirect
724. C2×C47#3558semidirect
734. C22×#41C2×D47semidirect
735. C23×Q8C2×D47semidirect
746. #548C2×D47semidirect
787. C2×#124C2×D47semidirect
788. C2×#124C2×D47semidirect
804. C2×C22⋊Q8C2×D47semidirect
805. C2×C22⋊Q8C2×D47semidirect
820. C2×#121C2×D47semidirect
821. C2×#121C2×D47semidirect
834. C2×C4×Q8C2×D47semidirect
845. C2×C4×D4C2×D47semidirect
846. C2×C4×D4C2×D47semidirect
854. C47C2×#3558semidirect
863. C2×#41C22×D47semidirect
870. C22×Q8C22×D47semidirect
938. #124C22×D47semidirect
939. #124C22×D47semidirect
955. C22⋊Q8C22×D47semidirect
956. C22⋊Q8C22×D47semidirect
971. #121C22×D47semidirect
972. #121C22×D47semidirect
985. C4×Q8C22×D47semidirect
996. C4×D4C22×D47semidirect
997. C4×D4C22×D47semidirect
1411. C2#20257905direct (N × H)

Maximal subgroups

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

subgroupindex
#202579052
C2×#156898692
C2×#156898652
C2×#156898582
C2×#156898552
C2×#156897842
C2×#156897682
C2×#156897642
C2×#156897622
C2×#156897612
C2×D4×D1882
C2×#156897572
C2×#156897462
C2×#156897452
C2×#156897132
C2×#156897072
C2×#156897062
C2×#156896912
C2×#156896872
C2×#156896812
C2×#156896682
C2×#156896532
C22×#130940132
C2×C47×#5482
C2×#355847