Finite Group Databasebeta

← #25269549

Subgroups — #25269549

Order 11008.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583488C211yesmaximal, characteristic, complemented
2C2×#14583483C211yesmaximal, characteristic, complemented
3#19142960C211yesmaximal, characteristic, complemented
4#19142950C211yesmaximal, characteristic, complemented
5#19142939C211yesmaximal, characteristic, complemented
6#19142922C211yesmaximal, characteristic, complemented
7#19140732C211yesmaximal, characteristic, complemented
8#19140727C211yesmaximal, characteristic, complemented
9#19140725C211yesmaximal, characteristic, complemented
10#19139670C211yesmaximal, characteristic, complemented
11#19139665C211yesmaximal, characteristic, complemented
12#19139650C211yesmaximal, characteristic, complemented
13#19139648C211yesmaximal, characteristic, complemented
14#19139174C211yesmaximal, characteristic, complemented
15#19138953C211yesmaximal, characteristic, complemented
16#19138724C211yesmaximal, characteristic, complemented
17#19138716C211yesmaximal, characteristic, complemented
18#19138353C211yesmaximal, characteristic, complemented
19#19138290C211yesmaximal, characteristic, complemented
20#19138227C211yesmaximal, characteristic, complemented
21#19138178C211yesmaximal, characteristic, complemented
22#19138126C211yesmaximal, characteristic, complemented
23#19138124C211yesmaximal, characteristic, complemented
24#19138030C211yesmaximal, characteristic, complemented
25#19137946C211yesmaximal, characteristic, complemented
26#19137254C211yesmaximal, characteristic, complemented
27#19137248C211yesmaximal, characteristic, complemented
28#19137107C211yesmaximal, characteristic, complemented
29#390×D43C211yesmaximal, characteristic, complemented
30C4×#13063287C211yesmaximal, characteristic, complemented
31C43×#2662C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33#14583488—28no—
34#14583483—28no—
35C2×#13063323C2211yescharacteristic, complemented
36C2×#13063321C2211yescharacteristic
37C2×#13063321C2211yescharacteristic
38C2×#13063320C2211yescharacteristic, complemented
39C2×#13063319C2211yescharacteristic, complemented
40C2×#13063318C2211yescharacteristic, complemented
41C2×#13063314C2211yescharacteristic, complemented
42C2×#13063314C2211yescharacteristic, complemented
43C2×#13063313C2211yescharacteristic, complemented
44C2×#13063312C2211yescharacteristic, complemented
45C2×#13063311C2211yescharacteristic, complemented
46C2×#13063310C2211yescharacteristic, complemented
47C2×#13063309C2211yescharacteristic, complemented
48C2×#13063307C2211yescharacteristic, complemented
49C2×#13063307C2211yescharacteristic, complemented
50C2×#13063303C2211yescharacteristic
51C2×#13063301C2211yescharacteristic
52C2×#13063300C2211yescharacteristic
53C2×#13063300C2211yescharacteristic, complemented
54C2×#13063300C2211yescharacteristic, complemented
55C2×#13063298C2211yescharacteristic
56C2×#13063298C2211yescharacteristic
57C2×#13063298C2211yescharacteristic
58C2×#13063298C2211yescharacteristic
59C2×#13063298C2211yescharacteristic, complemented
60C2×#13063298C2211yescharacteristic, complemented
61C2×#13063298C2211yescharacteristic, complemented
62C2×#13063297C2211yescharacteristic, complemented
63C2×#13063296C2211yescharacteristic, complemented
64C2×#13063295C2211yescharacteristic
65C2×#13063295C2211yescharacteristic
66C2×#13063295C2211yescharacteristic
67C2×#13063295C2211yescharacteristic
68C2×#13063293C2211yescharacteristic
69C2×#13063293C2211yescharacteristic
70C2×C4×D172C2211yescharacteristic
71C2×#13063287C2211yescharacteristic
72C2×#13063287C2211yescharacteristic
73C2×#13063287C2211yescharacteristic
74C2×(C22⋊D43)⋊C4C2211yescharacteristic
75C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
76C2×C4⋊C4×D43C2211yescharacteristic
77C2×C22⋊C4×D43C2211yescharacteristic
78C2×C22⋊C4×D43C2211yescharacteristic
79C2×C22⋊C4×D43C2211yescharacteristic
80C2×C22⋊C4×D43C2211yescharacteristic
81C2×C42×D43C2211yescharacteristic
82C2×C42×D43C2211yescharacteristic, complemented
83#14582833C2211yescharacteristic, complemented
84#14582832C2211yescharacteristic, complemented
85#14582828C2211yescharacteristic, complemented
86#14582827C2211yescharacteristic, complemented
87#14582821C2211yescharacteristic, complemented
88#14582821C2211yescharacteristic, complemented
89#14582820C2211yescharacteristic, complemented
90#14582817C2211yescharacteristic, complemented
91#14582817C2211yescharacteristic, complemented
92#14582816C2211yescharacteristic
93#14582816C2211yescharacteristic, complemented
94#14582816C2211yescharacteristic, complemented
95#14582815C2211yescharacteristic, complemented
96#14582815C2211yescharacteristic, complemented
97#14582814C2211yescharacteristic, complemented
98#14582814C2211yescharacteristic, complemented
99#14582812C2211yescharacteristic, complemented
100#14582809C2211yescharacteristic
101#14582809C2211yescharacteristic
102#14582808C2211yescharacteristic
103#14582808C2211yescharacteristic, complemented
104#14582808C2211yescharacteristic, complemented
105#14582807C2211yescharacteristic
106#14582807C2211yescharacteristic
107#14582802C2211yescharacteristic
108#14582801C2211yescharacteristic
109#14582801C2211yescharacteristic, complemented
110#14582800C2211yescharacteristic
111#14582799C2211yescharacteristic
112#14582799C2211yescharacteristic
113#14582799C2211yescharacteristic
114#14582799C2211yescharacteristic
115#14582799C2211yescharacteristic
116#14582799C2211yescharacteristic
117#14582799C2211yescharacteristic
118#14582799C2211yescharacteristic
119#14582799C2211yescharacteristic, complemented
120#14582799C2211yescharacteristic, complemented
121#14582799C2211yescharacteristic, complemented
122#14582799C2211yescharacteristic, complemented
123#14582799C2211yescharacteristic, complemented
124#14582799C2211yescharacteristic, complemented
125#14582799C2211yescharacteristic, complemented
126#14582799C2211yescharacteristic, complemented
127#14582796C2211yescharacteristic, complemented
128#14582794C2211yescharacteristic, complemented
129#14582794C2211yescharacteristic, complemented
130#14582794C2211yescharacteristic, complemented
131#14582793C2211yescharacteristic, complemented
132#14582793C2211yescharacteristic, complemented
133#14582793C2211yescharacteristic, complemented
134#14582793C2211yescharacteristic, complemented
135#14582792C2211yescharacteristic, complemented
136#14582791C2211yescharacteristic, complemented
137#14582790C2211yescharacteristic, complemented
138#14582790C2211yescharacteristic, complemented
139#14582789C2211yescharacteristic, complemented
140#14582789C2211yescharacteristic, complemented
141#14582789C2211yescharacteristic, complemented
142#14582789C2211yescharacteristic, complemented
143#14582788C2211yescharacteristic, complemented
144#14582787C2211yescharacteristic, complemented
145#14582779C2211yescharacteristic, complemented
146#14582777C2211yescharacteristic
147#14582777C2211yescharacteristic
148#14582777C2211yescharacteristic, complemented
149#14582777C2211yescharacteristic, complemented
150#14582776C2211yescharacteristic, complemented
151#14582775C2211yescharacteristic
152#14582775C2211yescharacteristic
153#14582775C2211yescharacteristic, complemented
154#14582775C2211yescharacteristic, complemented
155#14582773C2211yescharacteristic
156#14582770C2211yescharacteristic
157#14582768C2211yescharacteristic, complemented
158#14582758C2211yescharacteristic
159#14582758C2211yescharacteristic, complemented
160#14582754C2211yescharacteristic
161#14582754C2211yescharacteristic
162C4⋊C4×Dic43C2211yescharacteristic, complemented
163C4⋊C4×Dic43C2211yescharacteristic, complemented
164#14582750C2211yescharacteristic, complemented
165C22⋊C4×Dic43C2211yescharacteristic, complemented
166C4×(C2×D43)⋊C4C2211yescharacteristic
167C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
168#14582746C2211yescharacteristic
169#14582746C2211yescharacteristic
170#14582746C2211yescharacteristic, complemented
171#14582746C2211yescharacteristic, complemented
172#14582746C2211yescharacteristic, complemented
173C42×Dic43C2211yescharacteristic, complemented
174C2×#126×C43C2211yescharacteristic, complemented
175C2×#124×C43C2211yescharacteristic, complemented
176C43×#396C2211yescharacteristic, complemented
177C43×#396C2211yescharacteristic, complemented
178C43×#395C2211yescharacteristic, complemented
179C43×#394C2211yescharacteristic
180C43×#394C2211yescharacteristic, complemented
181C43×#394C2211yescharacteristic, complemented
182C43×#393C2211yescharacteristic, complemented
183C43×#392C2211yescharacteristic
184C43×#390C2211yescharacteristic
185C43×#390C2211yescharacteristic, complemented
186C43×#388C2211yescharacteristic, complemented
187C43×#388C2211yescharacteristic, complemented
188C4×C4⋊C4×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C22×C22⋊D43C2311yescharacteristic
209C22×C22⋊D43C2311yescharacteristic
210C22×C22⋊D43C2311yescharacteristic
211C2×D4×D43—24no—
212C2×D4×D43—42no—
213C2×D4×D43—42no—
214C23×Dic43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224#13063323—42no—
225#13063321—42no—
226#13063321—42no—
227#13063320—24no—
228#13063319—24no—
229#13063318—24no—
230#13063314—24no—
231#13063314—42no—
232#13063313—24no—
233#13063312—42no—
234#13063311—24no—
235#13063310—24no—
236#13063309—24no—
237#13063307—24no—
238#13063307—24no—
239#13063303—24no—
240#13063301—24no—
241#13063300—24no—
242#13063300—24no—
243#13063300—42no—
244#13063298—24no—
245#13063298—24no—
246#13063298—24no—
247#13063298—24no—
248#13063298—42no—
249#13063298—42no—
250#13063298—42no—
251#13063297—24no—
252#13063296—42no—
253#13063295—24no—
254#13063295—24no—
255#13063295—24no—
256#13063295—24no—
257#13063293—24no—
258#13063293—24no—
259C4×D172D418yescomplemented
260#13063287—24no—
261#13063287—24no—
262#13063287—24no—
263(C22⋊D43)⋊C4—24no—
264(C22⋊D43)⋊C4—42no—
265C2×C4⋊Dic43C2311yescharacteristic
266C2×C4⋊Dic43C2311yescharacteristic
267C2×C4⋊Dic43C2311yescharacteristic
268C2×C4⋊Dic43C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×Dic43⋊C4C2311yescharacteristic
276C2×Dic43⋊C4C2311yescharacteristic
277C2×Dic43⋊C4C2311yescharacteristic
278C2×Dic43⋊C4C2311yescharacteristic
279C2×Dic43⋊C4C2311yescharacteristic
280C2×Dic43⋊C4C2311yescharacteristic
281C2×Dic43⋊C4C2311yescharacteristic
282C4⋊C4×D43—42no—
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×C22⋊Dic43C2311yescharacteristic
292C2×C22⋊Dic43C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C2×(C2×D43)⋊C4C2311yescharacteristic
318C2×(C2×D43)⋊C4C2311yescharacteristic
319C2×(C2×D43)⋊C4C2311yescharacteristic
320C2×(C2×D43)⋊C4C2311yescharacteristic
321C2×(C2×D43)⋊C4C2311yescharacteristic
322C2×(C2×D43)⋊C4C2311yescharacteristic
323C2×(C2×D43)⋊C4C2311yescharacteristic
324C2×(C2×D43)⋊C4C2311yescharacteristic
325C2×(C2×D43)⋊C4C2311yescharacteristic
326C2×(C2×D43)⋊C4C2311yescharacteristic
327C2×(C2×D43)⋊C4C2311yescharacteristic
328C22⋊C4×D43—24no—
329C22⋊C4×D43—24no—
330C22⋊C4×D43—42no—
331C22⋊C4×D43—42no—
332C2×C4×Dic43C2311yescharacteristic
333C2×C4×Dic43C2311yescharacteristic
334C2×C4×Dic43C2311yescharacteristic
335C2×C4×Dic43C2311yescharacteristic
336C2×C4×Dic43C2311yescharacteristic
337C2×C4×Dic43C2311yescharacteristic
338C2×C4×Dic43C2311yescharacteristic
339C2×C4×Dic43C2311yescharacteristic
340C2×C4×Dic43C2311yescharacteristic
341C2×C4×Dic43C2311yescharacteristic
342C2×C4×Dic43C2311yescharacteristic
343C2×C4×Dic43C2311yescharacteristic
344C42×D43—42no—
345C42×D43—42no—
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C43⋊#95C2311yescharacteristic
355C43⋊#95C2311yescharacteristic
356C43⋊#95C2311yescharacteristic
357C43⋊#95C2311yescharacteristic
358C43⋊#95C2311yescharacteristic
359C43⋊#95C2311yescharacteristic
360C22×Q8×C43C2311yescharacteristic
361C22×D4×C43C2311yescharacteristic
362C22×D4×C43C2311yescharacteristic
363C22×D4×C43C2311yescharacteristic
364#126×C43—24no—
365#124×C43—24no—
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C22⋊C4×C43C2311yescharacteristic
384C2×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C22⋊C4×C43C2311yescharacteristic
387C2×C22⋊C4×C43C2311yescharacteristic
388C2×C42×C43C2311yescharacteristic
389C2×C42×C43C2311yescharacteristic
390C2×C42×C43C2311yescharacteristic
391#95×C43C2311yescharacteristic
392#95×C43C2311yescharacteristic
393#95×C43C2311yescharacteristic
394#95×C43C2311yescharacteristic
395#95×C43C2311yescharacteristic
396#95×C43C2311yescharacteristic
397C24×C43C2411yescharacteristic
398C24×C43C2411yescharacteristic
399C24×C43C2411yescharacteristic
400C23×D43—22no—
401C23×D43—22no—
402C23×D43—22no—
403C23×D43—22no—
404C23×D43—22no—
405C23×D43—22no—
406C23×D43—41no—
407C23×D43—41no—
408C23×D43—41no—
409C23×D43—41no—
410C23×D43—41no—
411C23×D43—41no—
412C23×D43—41no—
413C23×D43—41no—
414C23×D43C2411yescharacteristic
415C23×D43C2411yescharacteristic
416C23×D43C2411yescharacteristic
417C23×D43C2411yescharacteristic
418C23×D43C2411yescharacteristic
419C2×Q8×C43—22no—
420C2×Q8×C43—41no—
421C2×Q8×C43—41no—
422C2×D4×C43—22no—
423C2×D4×C43—22no—
424C2×D4×C43—22no—
425C2×D4×C43—41no—
426C2×D4×C43—41no—
427C2×D4×C43—41no—
428C2×D4×C43—41no—
429C2×D4×C43—41no—
430C2×D4×C43—41no—
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C22×C4×C43C2411yescharacteristic
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C2×C22⋊D43—22no—
444C2×C22⋊D43—22no—
445C2×C22⋊D43—22no—
446C2×C22⋊D43—22no—
447C2×C22⋊D43—22no—
448C2×C22⋊D43—22no—
449C2×C22⋊D43—22no—
450C2×C22⋊D43—22no—
451C2×C22⋊D43—22no—
452C2×C22⋊D43—22no—
453C2×C22⋊D43—22no—
454C2×C22⋊D43—22no—
455C2×C22⋊D43—22no—
456C2×C22⋊D43—22no—
457C2×C22⋊D43—22no—
458C2×C22⋊D43—22no—
459C2×C22⋊D43—22no—
460C2×C22⋊D43—22no—
461C2×C22⋊D43—22no—
462C2×C22⋊D43—41no—
463C2×C22⋊D43—41no—
464C2×C22⋊D43—41no—
465C2×C22⋊D43—41no—
466C2×C22⋊D43—41no—
467C2×C22⋊D43—41no—
468C2×C22⋊D43—41no—
469C2×C22⋊D43—41no—
470C2×C22⋊D43—41no—
471C2×C22⋊D43—41no—
472C2×C22⋊D43—41no—
473C2×C22⋊D43—41no—
474C2×C22⋊D43—41no—
475C2×C22⋊D43—41no—
476C22×Dic43—22no—
477C22×Dic43—41no—
478C22×Dic43—41no—
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481C22×Dic43C2411yescharacteristic
482C22×Dic43C2411yescharacteristic
483C22×Dic43C2411yescharacteristic
484C22×Dic43C2411yescharacteristic
485C22×Dic43C2411yescharacteristic
486C22×Dic43C2411yescharacteristic
487C22×Dic43C2411yescharacteristic
488C22×Dic43C2411yescharacteristic
489C22×Dic43C2411yescharacteristic
490D4×D43—416no—
491C2×D172—22no—
492C2×D172—22no—
493C2×D172—22no—
494C2×D172—22no—
495C2×D172—22no—
496C2×D172—22no—
497C2×D172—22no—
498C2×D172—22no—
499C2×D172—22no—
500C2×D172—22no—
501C2×D172—22no—
502C2×D172—41no—
503C2×D172—41no—
504C2×D172—41no—
505C2×D172—41no—
506C2×D172—41no—
507C2×D172—41no—
508C2×D172—41no—
509C2×D172—41no—
510C2×D172—41no—
511C2×D172—41no—
512C2×D172—41no—
513C2×D172—41no—
514C2×D172C2×D414yes—
515C2×C4×D43—22no—
516C2×C4×D43—22no—
517C2×C4×D43—22no—
518C2×C4×D43—22no—
519C2×C4×D43—22no—
520C2×C4×D43—22no—
521C2×C4×D43—22no—
522C2×C4×D43—22no—
523C2×C4×D43—22no—
524C2×C4×D43—22no—
525C2×C4×D43—22no—
526C2×C4×D43—22no—
527C2×C4×D43—41no—
528C2×C4×D43—41no—
529C2×C4×D43—41no—
530C2×C4×D43—41no—
531C2×C4×D43—41no—
532C2×C4×D43—41no—
533C2×C4×D43—41no—
534C2×C4×D43—41no—
535C2×C4×D43—41no—
536C2×C4×D43—41no—
537C2×C4×D43—41no—
538C2×C4×D43—41no—
539C2×C4×D43C2×D414yes—
540C2×C4×D43C2×D414yescomplemented
541C2×C4×D43#4114yes—
542C2×Dic86—22no—
543C2×Dic86—41no—
544C2×Dic86—41no—
545C4⋊C4×C43—22no—
546C4⋊C4×C43—22no—
547C4⋊C4×C43—22no—
548C4⋊C4×C43—22no—
549C4⋊C4×C43—22no—
550C4⋊C4×C43—41no—
551C4⋊C4×C43—41no—
552C22⋊C4×C43—22no—
553C22⋊C4×C43—22no—
554C22⋊C4×C43—22no—
555C22⋊C4×C43—22no—
556C22⋊C4×C43—22no—
557C22⋊C4×C43—22no—
558C22⋊C4×C43—22no—
559C22⋊C4×C43—22no—
560C22⋊C4×C43—22no—
561C22⋊C4×C43—41no—
562C22⋊C4×C43—41no—
563C22⋊C4×C43—41no—
564C22⋊C4×C43—41no—
565C22⋊C4×C43—41no—
566C22⋊C4×C43—41no—
567C42×C43—41no—
568C42×C43—41no—
569C42×C43C2×D414yescomplemented
570C22⋊Dic43—22no—
571C22⋊Dic43—22no—
572C22⋊Dic43—22no—
573C22⋊Dic43—22no—
574C22⋊Dic43—22no—
575C22⋊Dic43—22no—
576C22⋊Dic43—22no—
577C22⋊Dic43—41no—
578C22⋊Dic43—41no—
579C22⋊Dic43—41no—
580(C2×D43)⋊C4—22no—
581(C2×D43)⋊C4—22no—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—22no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—22no—
587(C2×D43)⋊C4—22no—
588(C2×D43)⋊C4—22no—
589(C2×D43)⋊C4—22no—
590(C2×D43)⋊C4—22no—
591(C2×D43)⋊C4—22no—
592(C2×D43)⋊C4—22no—
593(C2×D43)⋊C4—22no—
594(C2×D43)⋊C4—22no—
595(C2×D43)⋊C4—22no—
596(C2×D43)⋊C4—22no—
597(C2×D43)⋊C4—22no—
598(C2×D43)⋊C4—22no—
599(C2×D43)⋊C4—22no—
600(C2×D43)⋊C4—22no—
601(C2×D43)⋊C4—22no—
602(C2×D43)⋊C4—22no—
603(C2×D43)⋊C4—41no—
604(C2×D43)⋊C4—41no—
605(C2×D43)⋊C4—41no—
606(C2×D43)⋊C4—41no—
607(C2×D43)⋊C4—41no—
608(C2×D43)⋊C4—41no—
609(C2×D43)⋊C4—41no—
610(C2×D43)⋊C4—41no—
611(C2×D43)⋊C4—41no—
612(C2×D43)⋊C4C2×D414yes—
613(C2×D43)⋊C4C2×D414yescomplemented
614(C2×D43)⋊C4#4114yes—
615C4⋊Dic43—22no—
616C4⋊Dic43—41no—
617C4⋊Dic43—41no—
618C4⋊Dic43C2×D414yescomplemented
619Dic43⋊C4—22no—
620Dic43⋊C4—22no—
621Dic43⋊C4—22no—
622Dic43⋊C4—22no—
623Dic43⋊C4—22no—
624Dic43⋊C4—22no—
625Dic43⋊C4—22no—
626Dic43⋊C4—22no—
627Dic43⋊C4—22no—
628Dic43⋊C4—22no—
629Dic43⋊C4—22no—
630Dic43⋊C4—41no—
631Dic43⋊C4—41no—
632C4×Dic43—22no—
633C4×Dic43—22no—
634C4×Dic43—22no—
635C4×Dic43—22no—
636C4×Dic43—22no—
637C4×Dic43—22no—
638C4×Dic43—22no—
639C4×Dic43—22no—
640C4×Dic43—22no—
641C4×Dic43—41no—
642C4×Dic43—41no—
643C4×Dic43—41no—
644C23×C43—21no—
645C23×C43—21no—
646C23×C43—21no—
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—21no—
652C23×C43—21no—
653C23×C43—21no—
654C23×C43—21no—
655C23×C43—21no—
656C23×C43—21no—
657C23×C43—21no—
658C23×C43—21no—
659C23×C43—21no—
660C23×C43—21no—
661C23×C43—21no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43—21no—
665C23×C43C2511yescharacteristic
666C22×D43—21no—
667C22×D43—21no—
668C22×D43—21no—
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—21no—
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—21no—
688C22×D43—21no—
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—21no—
696C22×D43—21no—
697C22×D43—44no—
698C22×D43—44no—
699C22×D43—44no—
700C22×D43—44no—
701C22×D43—44no—
702C22×D43—44no—
703C22×D43—82no—
704C22×D43—82no—
705C22×D43—82no—
706C22×D43—82no—
707C22×D43—82no—
708C22×D43—82no—
709C22×D43—82no—
710C22×D43—82no—
711C22×D43C22×D412yes—
712C22×D43C22×D412yes—
713C22×D43C2×#4112yes—
714C22×D43C2×#4112yes—
715Q8×C43—82no—
716D4×C43—44no—
717D4×C43—82no—
718D4×C43—82no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43C22×D412yes—
751C2×C4×C43C22×D412yes—
752C2×C4×C43C22×D412yes—
753C2×C4×C43C2×#4112yes—
754C2×C4×C43C2×#4112yes—
755C22⋊D43—44no—
756C22⋊D43—44no—
757C22⋊D43—44no—
758C22⋊D43—44no—
759C22⋊D43—82no—
760C22⋊D43—82no—
761C22⋊D43—82no—
762C22⋊D43—82no—
763C22⋊D43—82no—
764C22⋊D43—82no—
765C22⋊D43—82no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—82no—
793C2×Dic43C22×D412yes—
794C2×Dic43C22×D412yes—
795C2×Dic43C2×#4112yes—
796C2×Dic43C2×#4112yes—
797C2×Dic43H(5,𝔽2)12yes—
798C2×Dic43H(5,𝔽2)12yes—
799C2×Dic43H(5,𝔽2)12yes—
800D172—28no—
801D172—44no—
802D172—44no—
803D172—82no—
804D172—82no—
805D172—82no—
806D172—82no—
807D172—82no—
808C4×D43—28no—
809C4×D43—44no—
810C4×D43—44no—
811C4×D43—44no—
812C4×D43—44no—
813C4×D43—44no—
814C4×D43—82no—
815C4×D43—82no—
816C4×D43—82no—
817Dic86—82no—
818#35007—431nomaximal, Sylow
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43C23×D411yescharacteristic
841C22×C43C22×#4111yescharacteristic
842C22×C43C22×#4111yescharacteristic
843C22×C43C2×H(5,𝔽2)11yescharacteristic
844C22×C43C2×H(5,𝔽2)11yescharacteristic
845C22×C43C2×H(5,𝔽2)11yescharacteristic
846C22×C43#58511yescharacteristic
847C2×D43—22no—
848C2×D43—22no—
849C2×D43—22no—
850C2×D43—22no—
851C2×D43—22no—
852C2×D43—22no—
853C2×D43—22no—
854C2×D43—22no—
855C2×D43—22no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43—41no—
862C2×D43—41no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—41no—
866C2×D43—41no—
867C2×D43—41no—
868C2×D43—41no—
869C2×D43—41no—
870C2×D43—41no—
871C2×D43—41no—
872C2×D43—41no—
873C2×D43—41no—
874C2×D43—41no—
875C2×D43—41no—
876C2×D43—41no—
877C2×D43—41no—
878C2×D43—41no—
879C2×D43—41no—
880C2×D43—41no—
881C2×D43—88no—
882C2×D43—88no—
883C2×D43#53214yes—
884C4×C43—22no—
885C4×C43—22no—
886C4×C43—22no—
887C4×C43—22no—
888C4×C43—22no—
889C4×C43—41no—
890C4×C43—41no—
891C4×C43—41no—
892C4×C43—41no—
893C4×C43—41no—
894C4×C43—41no—
895C4×C43—41no—
896Dic43—22no—
897Dic43—22no—
898Dic43—22no—
899Dic43—22no—
900Dic43—41no—
901Dic43—41no—
902Dic43—41no—
903Dic43—41no—
904Dic43—41no—
905Dic43—41no—
906Dic43#53814yescomplemented
907C2×#538—431no—
908C2×#538—431no—
909#2860—431no—
910#2858—431no—
911#2856—431no—
912#2854—431no—
913#2662—431no—
914#2662D4311yescharacteristic, complemented
915#2661—431no—
916#2661—431no—
917#2555—431no—
918#2555—431no—
919#2554—431no—
920#2554—431no—
921#2512—431no—
922#2491—431no—
923#2472—431no—
924#2472—431no—
925#2445—431no—
926#2440—431no—
927#2433—431no—
928#2428—431no—
929#2424—431no—
930#2424—431no—
931#2416—431no—
932#2408—431no—
933#2321—431no—
934#2321—431no—
935C4×#121—431no—
936C2×#390—431no—
937C42×D4—431no—
938C2×C43—81no—
939C2×C43—81no—
940C2×C43—81no—
941C2×C43C2×#53211yescharacteristic
942C2×C43C2×#53811yescharacteristic
943C2×C43#346011yescharacteristic
944C2×C43#349611yescharacteristic
945C2×C43#349811yescharacteristic
946C2×C43#351411yescharacteristic
947C2×C43#351911yescharacteristic
948D43—24no—
949D43—42no—
950D43—81no—
951D43—81no—
952D43—81no—
953C23×D4—431no—
954#538—868no—
955#538—868no—
956C2×C4⋊Q8—431no—
957C2×#127—431no—
958C2×#127—431no—
959C2×#126—431no—
960C2×#126—431no—
961C2×#126—431no—
962C2×#126C2×D4311yescharacteristic, complemented
963C2×#124—431no—
964C2×#124—431no—
965C2×#124—431no—
966C2×#124—431no—
967C2×#124—431no—
968C2×#124C2×D4311yescharacteristic, complemented
969C2×#123—431no—
970C2×#123—431no—
971C2×#123—431no—
972C2×#123—431no—
973C2×C22⋊Q8—431no—
974C2×C22⋊Q8—431no—
975C2×#121—431no—
976C2×#121—431no—
977C2×#121—431no—
978C2×#121—431no—
979C2×#121—431no—
980C2×#121—431no—
981C2×#121—431no—
982C2×#121—431no—
983C2×#121—431no—
984C2×#121—431no—
985C2×#121—431no—
986C2×#121—431no—
987C2×#120—431no—
988C2×#120—431no—
989C2×#120—431no—
990C2×#120—431no—
991C2×#120—431no—
992C2×#120—431no—
993C2×C4×D4—431no—
994C2×C4×D4—431no—
995C2×C4×D4—431no—
996C2×C4×D4—431no—
997C2×C4×D4—431no—
998C2×C4×D4—431no—
999C22×C4⋊C4—431no—
1000C22×C22⋊C4—431no—
1001C22×C22⋊C4—431no—
1002C22×C22⋊C4—431no—
1003C22×C22⋊C4—431no—
1004C22×C42—431no—
1005C22×C42—431no—
1006#398—431no—
1007#398—431no—
1008#397—431no—
1009#397—431no—
1010#396—431no—
1011#396—431no—
1012#396C2×D4311yescharacteristic, complemented
1013#396C2×D4311yescharacteristic, complemented
1014#395—431no—
1015#395C2×D4311yescharacteristic, complemented
1016#394—431no—
1017#394—431no—
1018#394—431no—
1019#394—431no—
1020#394—431no—
1021#394—431no—
1022#394—431no—
1023#394—431no—
1024#394—431no—
1025#394C2×D4311yescharacteristic
1026#394C2×D4311yescharacteristic, complemented
1027#394C2×D4311yescharacteristic, complemented
1028#393—431no—
1029#393C2×D4311yescharacteristic, complemented
1030#392—431no—
1031#392—431no—
1032#392—431no—
1033#392—431no—
1034#392—431no—
1035#392—431no—
1036#392—431no—
1037#392C2×D4311yescharacteristic
1038#390—431no—
1039#390—431no—
1040#390—431no—
1041#390—431no—
1042#390—431no—
1043#390—431no—
1044#390—431no—
1045#390—431no—
1046#390—431no—
1047#390—431no—
1048#390—431no—
1049#390—431no—
1050#390—431no—
1051#390—431no—
1052#390—431no—
1053#390—431no—
1054#390—431no—
1055#390—431no—
1056#390—431no—
1057#390—431no—
1058#390C2×D4311yescharacteristic
1059#390C2×D4311yescharacteristic, complemented
1060#389—431no—
1061#389—431no—
1062#389—431no—
1063#389—431no—
1064#388—431no—
1065#388—431no—
1066#388—431no—
1067#388—431no—
1068#388—431no—
1069#388—431no—
1070#388—431no—
1071#388—431no—
1072#388—431no—
1073#388—431no—
1074#388—431no—
1075#388—431no—
1076#388—431no—
1077#388—431no—
1078#388C2×D4311yescharacteristic, complemented
1079#388C2×D4311yescharacteristic, complemented
1080#386—431no—
1081#386—431no—
1082#386—431no—
1083#386—431no—
1084#386—431no—
1085#386—431no—
1086#386—431no—
1087#386—431no—
1088#386—431no—
1089#386—431no—
1090#385—431no—
1091#385—431no—
1092#384—431no—
1093#380—431no—
1094#380—431no—
1095#379—431no—
1096#379—431no—
1097C4×C4⋊C4—431no—
1098C4×C4⋊C4—431no—
1099C4×C4⋊C4—431no—
1100C4×C4⋊C4C2×D4311yescharacteristic, complemented
1101C4×C22⋊C4—431no—
1102C4×C22⋊C4—431no—
1103C4×C22⋊C4—431no—
1104C4×C22⋊C4—431no—
1105C4×C22⋊C4—431no—
1106C4×C22⋊C4—431no—
1107C4×C22⋊C4—431no—
1108C4×C22⋊C4—431no—
1109C43—431no—
1110C43#3500711yescharacteristic, complemented, Sylow
1111C25—431no—
1112C25—431no—
1113C22×Q8—431no—
1114C22×Q8C22×D4311yescharacteristic
1115C22×D4—431no—
1116C22×D4—431no—
1117C22×D4—431no—
1118C22×D4—431no—
1119C22×D4—431no—
1120C22×D4—431no—
1121C22×D4—431no—
1122C22×D4—431no—
1123C22×D4—431no—
1124C22×D4—431no—
1125C22×D4—431no—
1126C22×D4—431no—
1127C22×D4—431no—
1128C22×D4—431no—
1129C22×D4—431no—
1130C22×D4—431no—
1131C22×D4—431no—
1132C22×D4—431no—
1133C22×D4—431no—
1134C22×D4—864no—
1135C22×D4—1722no—
1136C22×D4—1722no—
1137C22×D4C22×D4311yescharacteristic
1138C22×D4C22×D4311yescharacteristic
1139C22×D4C22×D4311yescharacteristic
1140C23×C4—431no—
1141C23×C4—431no—
1142C23×C4—431no—
1143C23×C4—431no—
1144C23×C4—431no—
1145C23×C4—431no—
1146C23×C4—431no—
1147C23×C4—431no—
1148C23×C4—431no—
1149C23×C4—431no—
1150C4⋊Q8—1722no—
1151#127—1722no—
1152#127—1722no—
1153#126—24no—
1154#126—864no—
1155#126—864no—
1156#126—864no—
1157#124—24no—
1158#124—864no—
1159#124—864no—
1160#124—864no—
1161#124—1722no—
1162#124—1722no—
1163#123—864no—
1164#123—864no—
1165#123—864no—
1166#123—864no—
1167C22⋊Q8—864no—
1168C22⋊Q8—864no—
1169#121—864no—
1170#121—864no—
1171#121—864no—
1172#121—864no—
1173#121—864no—
1174#121—864no—
1175#121—864no—
1176#121—1722no—
1177#121—1722no—
1178#121—1722no—
1179#121—1722no—
1180#121—1722no—
1181#120—864no—
1182#120—864no—
1183#120—864no—
1184#120—864no—
1185#120—864no—
1186#120—864no—
1187C4×D4—438no—
1188C4×D4—864no—
1189C4×D4—864no—
1190C4×D4—864no—
1191C4×D4—864no—
1192C4×D4—1722no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—431no—
1195C2×C4⋊C4—431no—
1196C2×C4⋊C4—431no—
1197C2×C4⋊C4—431no—
1198C2×C4⋊C4—431no—
1199C2×C4⋊C4—431no—
1200C2×C4⋊C4—431no—
1201C2×C4⋊C4—431no—
1202C2×C4⋊C4—431no—
1203C2×C4⋊C4—431no—
1204C2×C4⋊C4—431no—
1205C2×C4⋊C4—431no—
1206C2×C4⋊C4—431no—
1207C2×C4⋊C4—431no—
1208C2×C4⋊C4—431no—
1209C2×C4⋊C4—431no—
1210C2×C4⋊C4—1722no—
1211C2×C4⋊C4C22×D4311yescharacteristic
1212C2×C4⋊C4C22×D4311yescharacteristic
1213C2×C4⋊C4C22×D4311yescharacteristic
1214C2×C4⋊C4C22×D4311yescharacteristic
1215C2×C4⋊C4C22×D4311yescharacteristic
1216C2×C4⋊C4C22×D4311yescharacteristic
1217C2×C4⋊C4C22×D4311yescharacteristic
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—431no—
1221C2×C22⋊C4—431no—
1222C2×C22⋊C4—431no—
1223C2×C22⋊C4—431no—
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—431no—
1227C2×C22⋊C4—431no—
1228C2×C22⋊C4—431no—
1229C2×C22⋊C4—431no—
1230C2×C22⋊C4—431no—
1231C2×C22⋊C4—431no—
1232C2×C22⋊C4—431no—
1233C2×C22⋊C4—431no—
1234C2×C22⋊C4—431no—
1235C2×C22⋊C4—431no—
1236C2×C22⋊C4—431no—
1237C2×C22⋊C4—431no—
1238C2×C22⋊C4—431no—
1239C2×C22⋊C4—431no—
1240C2×C22⋊C4—431no—
1241C2×C22⋊C4—431no—
1242C2×C22⋊C4—431no—
1243C2×C22⋊C4—431no—
1244C2×C22⋊C4—431no—
1245C2×C22⋊C4—431no—
1246C2×C22⋊C4—431no—
1247C2×C22⋊C4—431no—
1248C2×C22⋊C4—431no—
1249C2×C22⋊C4—431no—
1250C2×C22⋊C4—431no—
1251C2×C22⋊C4—431no—
1252C2×C22⋊C4—431no—
1253C2×C22⋊C4—431no—
1254C2×C22⋊C4—431no—
1255C2×C22⋊C4—431no—
1256C2×C22⋊C4—431no—
1257C2×C22⋊C4—431no—
1258C2×C22⋊C4—431no—
1259C2×C22⋊C4—431no—
1260C2×C22⋊C4—431no—
1261C2×C22⋊C4—431no—
1262C2×C22⋊C4—431no—
1263C2×C22⋊C4—864no—
1264C2×C22⋊C4—864no—
1265C2×C22⋊C4—1722no—
1266C2×C22⋊C4—1722no—
1267C2×C22⋊C4C22×D4311yescharacteristic
1268C2×C22⋊C4C22×D4311yescharacteristic
1269C2×C22⋊C4C22×D4311yescharacteristic
1270C2×C22⋊C4C22×D4311yescharacteristic
1271C2×C22⋊C4C22×D4311yescharacteristic
1272C2×C22⋊C4C22×D4311yescharacteristic
1273C2×C22⋊C4C22×D4311yescharacteristic
1274C2×C22⋊C4C22×D4311yescharacteristic
1275C2×C22⋊C4C22×D4311yescharacteristic
1276C2×C22⋊C4C22×D4311yescharacteristic
1277C2×C22⋊C4C22×D4311yescharacteristic
1278C2×C22⋊C4C22×D4311yescharacteristic
1279C2×C22⋊C4C22×D4311yescharacteristic
1280C2×C22⋊C4C22×D4311yescharacteristic
1281C2×C22⋊C4C22×D4311yescharacteristic
1282C2×C42—431no—
1283C2×C42—431no—
1284C2×C42—431no—
1285C2×C42—431no—
1286C2×C42—431no—
1287C2×C42—431no—
1288C2×C42—431no—
1289C2×C42—431no—
1290C2×C42—431no—
1291C2×C42—431no—
1292C2×C42—431no—
1293C2×C42—431no—
1294C2×C42—1722no—
1295C2×C42—1722no—
1296C2×C42C22×D4311yescharacteristic
1297C2×C42C22×D4311yescharacteristic
1298C2×C42C22×D4311yescharacteristic
1299#95—431no—
1300#95—431no—
1301#95—431no—
1302#95—431no—
1303#95—431no—
1304#95—431no—
1305#95—431no—
1306#95—431no—
1307#95—431no—
1308#95—431no—
1309#95—431no—
1310#95—431no—
1311#95—431no—
1312#95—431no—
1313#95C22×D4311yescharacteristic
1314#95C22×D4311yescharacteristic
1315#95C22×D4311yescharacteristic
1316#95C22×D4311yescharacteristic
1317#95C22×D4311yescharacteristic
1318#95C22×D4311yescharacteristic
1319C24—431no—
1320C24—431no—
1321C24—431no—
1322C24—431no—
1323C24—431no—
1324C24—862no—
1325C24—862no—
1326C24—862no—
1327C24—862no—
1328C24—862no—
1329C24—862no—
1330C24—1721no—
1331C24—1721no—
1332C24—1721no—
1333C24—1721no—
1334C24—1721no—
1335C24—1721no—
1336C24—1721no—
1337C24—1721no—
1338C24C23×D4311yescharacteristic
1339C24C23×D4311yescharacteristic
1340C24C23×D4311yescharacteristic
1341C2×Q8—22no—
1342C2×Q8—41no—
1343C2×Q8—41no—
1344C2×Q8—862no—
1345C2×Q8—1721no—
1346C2×Q8—1721no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—434no—
1357C2×D4—862no—
1358C2×D4—862no—
1359C2×D4—862no—
1360C2×D4—862no—
1361C2×D4—862no—
1362C2×D4—862no—
1363C2×D4—862no—
1364C2×D4—862no—
1365C2×D4—862no—
1366C2×D4—862no—
1367C2×D4—862no—
1368C2×D4—862no—
1369C2×D4—862no—
1370C2×D4—862no—
1371C2×D4—862no—
1372C2×D4—862no—
1373C2×D4—862no—
1374C2×D4—862no—
1375C2×D4—862no—
1376C2×D4—862no—
1377C2×D4—862no—
1378C2×D4—862no—
1379C2×D4—862no—
1380C2×D4—862no—
1381C2×D4—862no—
1382C2×D4—862no—
1383C2×D4—862no—
1384C2×D4—862no—
1385C2×D4—862no—
1386C2×D4—862no—
1387C2×D4—1721no—
1388C2×D4—1721no—
1389C2×D4—1721no—
1390C2×D4—1721no—
1391C2×D4—1721no—
1392C2×D4—1721no—
1393C2×D4—1721no—
1394C2×D4—1721no—
1395C2×D4—1721no—
1396C2×D4—1721no—
1397C2×D4—1721no—
1398C2×D4—1721no—
1399C2×D4—17216no—
1400C2×D4—1721no—
1401C2×D4—1721no—
1402C2×D4—1721no—
1403C2×D4—1721no—
1404C2×D4—1721no—
1405C2×D4—1721no—
1406C2×D4—1721no—
1407C2×D4—1721no—
1408C2×D4—1721no—
1409C2×D4—1721no—
1410C2×D4—1721no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C22×C4—431no—
1415C22×C4—431no—
1416C22×C4—431no—
1417C22×C4—431no—
1418C22×C4—431no—
1419C22×C4—434no—
1420C22×C4—434no—
1421C22×C4—434no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—431no—
1428C22×C4—862no—
1429C22×C4—862no—
1430C22×C4—862no—
1431C22×C4—862no—
1432C22×C4—862no—
1433C22×C4—862no—
1434C22×C4—862no—
1435C22×C4—862no—
1436C22×C4—862no—
1437C22×C4—862no—
1438C22×C4—862no—
1439C22×C4—862no—
1440C22×C4—862no—
1441C22×C4—1721no—
1442C22×C4—1721no—
1443C22×C4—1721no—
1444C22×C4—1721no—
1445C22×C4—1721no—
1446C22×C4—1721no—
1447C22×C4—1721no—
1448C22×C4—1721no—
1449C22×C4—1721no—
1450C22×C4—1721no—
1451C22×C4—1721no—
1452C22×C4—1721no—
1453C22×C4—1721no—
1454C22×C4—1721no—
1455C22×C4C23×D4311yescharacteristic
1456C22×C4C23×D4311yescharacteristic
1457C22×C4C23×D4311yescharacteristic
1458C22×C4C23×D4311yescharacteristic
1459C22×C4C23×D4311yescharacteristic
1460C22×C4C23×D4311yescharacteristic
1461C22×C4C23×D4311yescharacteristic
1462C22×C4C23×D4311yescharacteristic
1463C22×C4C23×D4311yescharacteristic
1464C22×C4C23×D4311yescharacteristic
1465C22×C4C23×D4311yescharacteristic
1466C22×C4C23×D4311yescharacteristic
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—22no—
1472C4⋊C4—41no—
1473C4⋊C4—41no—
1474C4⋊C4—434no—
1475C4⋊C4—862no—
1476C4⋊C4—862no—
1477C4⋊C4—862no—
1478C4⋊C4—862no—
1479C4⋊C4—862no—
1480C4⋊C4—862no—
1481C4⋊C4—862no—
1482C4⋊C4—862no—
1483C4⋊C4—862no—
1484C4⋊C4—862no—
1485C4⋊C4—862no—
1486C4⋊C4—862no—
1487C4⋊C4—1721no—
1488C4⋊C4—1721no—
1489C4⋊C4—1721no—
1490C4⋊C4—1721no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—434no—
1507C22⋊C4—434no—
1508C22⋊C4—434no—
1509C22⋊C4—862no—
1510C22⋊C4—862no—
1511C22⋊C4—862no—
1512C22⋊C4—862no—
1513C22⋊C4—862no—
1514C22⋊C4—862no—
1515C22⋊C4—862no—
1516C22⋊C4—862no—
1517C22⋊C4—862no—
1518C22⋊C4—862no—
1519C22⋊C4—862no—
1520C22⋊C4—862no—
1521C22⋊C4—862no—
1522C22⋊C4—862no—
1523C22⋊C4—862no—
1524C22⋊C4—862no—
1525C22⋊C4—862no—
1526C22⋊C4—862no—
1527C22⋊C4—862no—
1528C22⋊C4—862no—
1529C22⋊C4—862no—
1530C22⋊C4—862no—
1531C22⋊C4—862no—
1532C22⋊C4—862no—
1533C22⋊C4—862no—
1534C22⋊C4—862no—
1535C22⋊C4—862no—
1536C22⋊C4—862no—
1537C22⋊C4—862no—
1538C22⋊C4—862no—
1539C22⋊C4—1721no—
1540C22⋊C4—1721no—
1541C22⋊C4—1721no—
1542C22⋊C4—1721no—
1543C22⋊C4—1721no—
1544C22⋊C4—1721no—
1545C22⋊C4—1721no—
1546C22⋊C4—1721no—
1547C22⋊C4—1721no—
1548C22⋊C4—1721no—
1549C22⋊C4—1721no—
1550C22⋊C4—1721no—
1551C42—41no—
1552C42—41no—
1553C42—862no—
1554C42—862no—
1555C42—862no—
1556C42—862no—
1557C42—862no—
1558C42—862no—
1559C42—862no—
1560C42—862no—
1561C42—862no—
1562C42—1721no—
1563C42—1721no—
1564C42—1721no—
1565C42D4×D4314yescomplemented
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—432no—
1588C23—432no—
1589C23—432no—
1590C23—432no—
1591C23—861no—
1592C23—861no—
1593C23—861no—
1594C23—861no—
1595C23—861no—
1596C23—861no—
1597C23—861no—
1598C23—861no—
1599C23—861no—
1600C23—861no—
1601C23—861no—
1602C23—861no—
1603C23—861no—
1604C23—861no—
1605C23—861no—
1606C23—861no—
1607C23—861no—
1608C23—861no—
1609C23—861no—
1610C23—861no—
1611C23—861no—
1612C23—861no—
1613C23—861no—
1614C23—861no—
1615C23—861no—
1616C23—861no—
1617C23—861no—
1618C23—861no—
1619C23—861no—
1620C23—861no—
1621C23—861no—
1622C23—3442no—
1623C23—3442no—
1624C23—3442no—
1625C23—3442no—
1626C23—3442no—
1627C23—3442no—
1628C23—3442no—
1629C23—3442no—
1630C23—1724no—
1631C23—1724no—
1632C23—1724no—
1633C23—1724no—
1634C23—1724no—
1635C23—1724no—
1636C23C24×D4311yescharacteristic
1637Q8—82no—
1638Q8—3442no—
1639D4—44no—
1640D4—82no—
1641D4—82no—
1642D4—868no—
1643D4—3442no—
1644D4—3442no—
1645D4—3442no—
1646D4—3442no—
1647D4—3442no—
1648D4—3442no—
1649D4—3442no—
1650D4—3442no—
1651D4—3442no—
1652D4—3442no—
1653D4—3442no—
1654D4—3442no—
1655D4—1724no—
1656D4—1724no—
1657D4—1724no—
1658D4—1724no—
1659D4—1724no—
1660D4—1724no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—432no—
1693C2×C4—432no—
1694C2×C4—432no—
1695C2×C4—432no—
1696C2×C4—432no—
1697C2×C4—432no—
1698C2×C4—432no—
1699C2×C4—868no—
1700C2×C4—861no—
1701C2×C4—861no—
1702C2×C4—861no—
1703C2×C4—861no—
1704C2×C4—861no—
1705C2×C4—861no—
1706C2×C4—861no—
1707C2×C4—861no—
1708C2×C4—861no—
1709C2×C4—861no—
1710C2×C4—861no—
1711C2×C4—861no—
1712C2×C4—861no—
1713C2×C4—861no—
1714C2×C4—861no—
1715C2×C4—861no—
1716C2×C4—861no—
1717C2×C4—861no—
1718C2×C4—861no—
1719C2×C4—861no—
1720C2×C4—861no—
1721C2×C4—861no—
1722C2×C4—861no—
1723C2×C4—861no—
1724C2×C4—861no—
1725C2×C4—861no—
1726C2×C4—3442no—
1727C2×C4—3442no—
1728C2×C4—3442no—
1729C2×C4—3442no—
1730C2×C4—1724no—
1731C2×C4—1724no—
1732C2×C4—1724no—
1733C2×C4—1724no—
1734C2×C4—1724no—
1735C2×C4C2×D4×D4312yes—
1736C2×C4C2×D4×D4312yes—
1737C2×C4C2×D4×D4312yes—
1738C2×C4#41×D4312yes—
1739C2×C4#41×D4312yes—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—434no—
1762C22—862no—
1763C22—862no—
1764C22—862no—
1765C22—862no—
1766C22—862no—
1767C22—862no—
1768C22—862no—
1769C22—862no—
1770C22—862no—
1771C22—3448no—
1772C22—3448no—
1773C22—1721no—
1774C22—1721no—
1775C22—1721no—
1776C22—1721no—
1777C22—1721no—
1778C22—1721no—
1779C22—1721no—
1780C22—1721no—
1781C22—1721no—
1782C22—1721no—
1783C22—1721no—
1784C22—1721no—
1785C22—1721no—
1786C22—1721no—
1787C22—1721no—
1788C22—1721no—
1789C22—1721no—
1790C22—1721no—
1791C22—1721no—
1792C22—1721no—
1793C22—1721no—
1794C22—1721no—
1795C22—1721no—
1796C22—1721no—
1797C22—1721no—
1798C22C22×D4×D4311yescharacteristic
1799C22C2×#41×D4311yescharacteristic
1800C22C2×#41×D4311yescharacteristic
1801C22H(5,𝔽2)×D4311yescharacteristic
1802C22H(5,𝔽2)×D4311yescharacteristic
1803C22H(5,𝔽2)×D4311yescharacteristic
1804C22#1458373611yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—434no—
1818C4—862no—
1819C4—862no—
1820C4—862no—
1821C4—862no—
1822C4—1721no—
1823C4—1721no—
1824C4—1721no—
1825C4—1721no—
1826C4—1721no—
1827C4—1721no—
1828C2—81no—
1829C2—81no—
1830C2—81no—
1831C2—864no—
1832C2—3441no—
1833C2—3441no—
1834C2—3441no—
1835C2—1722no—
1836C2#532×D4311yescharacteristic
1837C2#538×D4311yescharacteristic
1838C2#1914801511yescharacteristic
1839C2#1914835811yescharacteristic
1840C2#1914837011yescharacteristic
1841C2#1914855411yescharacteristic
1842C2#1914861911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2662C2
hypercenter#2662D43
hypocenterC43#35007
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2662

Complements

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

NH ≅ G/Ntype
1. C2×#14583488C2semidirect
2. C2×#14583483C2semidirect
3. #19142960C2semidirect
4. #19142950C2semidirect
5. #19142939C2semidirect
6. #19142922C2semidirect
7. #19140732C2semidirect
8. #19140727C2semidirect
9. #19140725C2semidirect
10. #19139670C2semidirect
11. #19139665C2semidirect
12. #19139650C2semidirect
13. #19139648C2semidirect
14. #19139174C2semidirect
15. #19138953C2semidirect
16. #19138724C2semidirect
17. #19138716C2semidirect
18. #19138353C2semidirect
19. #19138290C2semidirect
20. #19138227C2semidirect
21. #19138178C2semidirect
22. #19138126C2semidirect
23. #19138124C2semidirect
24. #19138030C2semidirect
25. #19137946C2semidirect
26. #19137254C2semidirect
27. #19137248C2semidirect
28. #19137107C2semidirect
29. #390×D43C2semidirect
30. C4×#13063287C2semidirect
31. C43×#2662C2semidirect
35. C2×#13063323C22semidirect
38. C2×#13063320C22semidirect
39. C2×#13063319C22semidirect
40. C2×#13063318C22semidirect
41. C2×#13063314C22semidirect
42. C2×#13063314C22semidirect
43. C2×#13063313C22semidirect
44. C2×#13063312C22semidirect
45. C2×#13063311C22semidirect
46. C2×#13063310C22semidirect
47. C2×#13063309C22semidirect
48. C2×#13063307C22semidirect
49. C2×#13063307C22semidirect
53. C2×#13063300C22semidirect
54. C2×#13063300C22semidirect
59. C2×#13063298C22semidirect
60. C2×#13063298C22semidirect
61. C2×#13063298C22semidirect
62. C2×#13063297C22semidirect
63. C2×#13063296C22semidirect
75. C2×(C22⋊D43)⋊C4C22semidirect
82. C2×C42×D43C22semidirect
83. #14582833C22semidirect
84. #14582832C22semidirect
85. #14582828C22semidirect
86. #14582827C22semidirect
87. #14582821C22semidirect
88. #14582821C22semidirect
89. #14582820C22semidirect
90. #14582817C22semidirect
91. #14582817C22semidirect
93. #14582816C22semidirect
94. #14582816C22semidirect
95. #14582815C22semidirect
96. #14582815C22semidirect
97. #14582814C22semidirect
98. #14582814C22semidirect
99. #14582812C22semidirect
103. #14582808C22semidirect
104. #14582808C22semidirect
109. #14582801C22semidirect
119. #14582799C22semidirect
120. #14582799C22semidirect
121. #14582799C22semidirect
122. #14582799C22semidirect
123. #14582799C22semidirect
124. #14582799C22semidirect
125. #14582799C22semidirect
126. #14582799C22semidirect
127. #14582796C22semidirect
128. #14582794C22semidirect
129. #14582794C22semidirect
130. #14582794C22semidirect
131. #14582793C22semidirect
132. #14582793C22semidirect
133. #14582793C22semidirect
134. #14582793C22semidirect
135. #14582792C22semidirect
136. #14582791C22semidirect
137. #14582790C22semidirect
138. #14582790C22semidirect
139. #14582789C22semidirect
140. #14582789C22semidirect
141. #14582789C22semidirect
142. #14582789C22semidirect
143. #14582788C22semidirect
144. #14582787C22semidirect
145. #14582779C22semidirect
148. #14582777C22semidirect
149. #14582777C22semidirect
150. #14582776C22semidirect
153. #14582775C22semidirect
154. #14582775C22semidirect
157. #14582768C22semidirect
159. #14582758C22semidirect
162. C4⋊C4×Dic43C22semidirect
163. C4⋊C4×Dic43C22semidirect
164. #14582750C22semidirect
165. C22⋊C4×Dic43C22semidirect
167. C4×(C2×D43)⋊C4C22semidirect
170. #14582746C22semidirect
171. #14582746C22semidirect
172. #14582746C22semidirect
173. C42×Dic43C22semidirect
174. C2×#126×C43C22semidirect
175. C2×#124×C43C22semidirect
176. C43×#396C22semidirect
177. C43×#396C22semidirect
178. C43×#395C22semidirect
180. C43×#394C22semidirect
181. C43×#394C22semidirect
182. C43×#393C22semidirect
185. C43×#390C22semidirect
186. C43×#388C22semidirect
187. C43×#388C22semidirect
188. C4×C4⋊C4×C43C22semidirect
259. C4×D172D4semidirect
540. C2×C4×D43C2×D4semidirect
569. C42×C43C2×D4semidirect
613. (C2×D43)⋊C4C2×D4semidirect
618. C4⋊Dic43C2×D4semidirect
906. Dic43#538semidirect
914. #2662D43semidirect
962. C2×#126C2×D43semidirect
968. C2×#124C2×D43semidirect
1012. #396C2×D43semidirect
1013. #396C2×D43semidirect
1015. #395C2×D43semidirect
1026. #394C2×D43semidirect
1027. #394C2×D43semidirect
1029. #393C2×D43semidirect
1059. #390C2×D43semidirect
1078. #388C2×D43semidirect
1079. #388C2×D43semidirect
1100. C4×C4⋊C4C2×D43semidirect
1110. C43#35007semidirect
1565. C42D4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145834882
C2×#145834832
#191429602
#191429502
#191429392
#191429222
#191407322
#191407272
#191407252
#191396702
#191396652
#191396502
#191396482
#191391742
#191389532
#191387242
#191387162
#191383532
#191382902
#191382272
#191381782
#191381262
#191381242
#191380302
#191379462
#191372542
#191372482
#191371072
#390×D432
C4×#130632872
C43×#26622
#3500743