Finite Group Databasebeta

← #35577356

Subgroups — #35577356

Order 21248.

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×#19128290C211yesmaximal, characteristic, complemented
2C2×#19128285C211yesmaximal, characteristic, complemented
3#24915828C211yesmaximal, characteristic, complemented
4#24915818C211yesmaximal, characteristic, complemented
5#24915807C211yesmaximal, characteristic, complemented
6#24915790C211yesmaximal, characteristic, complemented
7#24913600C211yesmaximal, characteristic, complemented
8#24913595C211yesmaximal, characteristic, complemented
9#24913593C211yesmaximal, characteristic, complemented
10#24912538C211yesmaximal, characteristic, complemented
11#24912533C211yesmaximal, characteristic, complemented
12#24912518C211yesmaximal, characteristic, complemented
13#24912516C211yesmaximal, characteristic, complemented
14#24912042C211yesmaximal, characteristic, complemented
15#24911821C211yesmaximal, characteristic, complemented
16#24911592C211yesmaximal, characteristic, complemented
17#24911584C211yesmaximal, characteristic, complemented
18#24911221C211yesmaximal, characteristic, complemented
19#24911158C211yesmaximal, characteristic, complemented
20#24911095C211yesmaximal, characteristic, complemented
21#24911046C211yesmaximal, characteristic, complemented
22#24910994C211yesmaximal, characteristic, complemented
23#24910992C211yesmaximal, characteristic, complemented
24#24910898C211yesmaximal, characteristic, complemented
25#24910814C211yesmaximal, characteristic, complemented
26#24910122C211yesmaximal, characteristic, complemented
27#24910116C211yesmaximal, characteristic, complemented
28#24909975C211yesmaximal, characteristic, complemented
29#390×D83C211yesmaximal, characteristic, complemented
30C4×#14581754C211yesmaximal, characteristic, complemented
31C83×#2662C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33#19128290—28no—
34#19128285—28no—
35C2×#14581790C2211yescharacteristic, complemented
36C2×#14581788C2211yescharacteristic
37C2×#14581788C2211yescharacteristic
38C2×#14581787C2211yescharacteristic, complemented
39C2×#14581786C2211yescharacteristic, complemented
40C2×#14581785C2211yescharacteristic, complemented
41C2×#14581781C2211yescharacteristic, complemented
42C2×#14581781C2211yescharacteristic, complemented
43C2×#14581780C2211yescharacteristic, complemented
44C2×#14581779C2211yescharacteristic, complemented
45C2×#14581778C2211yescharacteristic, complemented
46C2×#14581777C2211yescharacteristic, complemented
47C2×#14581776C2211yescharacteristic, complemented
48C2×#14581774C2211yescharacteristic, complemented
49C2×#14581774C2211yescharacteristic, complemented
50C2×#14581770C2211yescharacteristic
51C2×#14581768C2211yescharacteristic
52C2×#14581767C2211yescharacteristic
53C2×#14581767C2211yescharacteristic, complemented
54C2×#14581767C2211yescharacteristic, complemented
55C2×#14581765C2211yescharacteristic
56C2×#14581765C2211yescharacteristic
57C2×#14581765C2211yescharacteristic
58C2×#14581765C2211yescharacteristic
59C2×#14581765C2211yescharacteristic, complemented
60C2×#14581765C2211yescharacteristic, complemented
61C2×#14581765C2211yescharacteristic, complemented
62C2×#14581764C2211yescharacteristic, complemented
63C2×#14581763C2211yescharacteristic, complemented
64C2×#14581762C2211yescharacteristic
65C2×#14581762C2211yescharacteristic
66C2×#14581762C2211yescharacteristic
67C2×#14581762C2211yescharacteristic
68C2×#14581760C2211yescharacteristic
69C2×#14581760C2211yescharacteristic
70C2×C4×D332C2211yescharacteristic
71C2×#14581754C2211yescharacteristic
72C2×#14581754C2211yescharacteristic
73C2×#14581754C2211yescharacteristic
74C2×(C22⋊D83)⋊C4C2211yescharacteristic
75C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
76C2×C4⋊C4×D83C2211yescharacteristic
77C2×C22⋊C4×D83C2211yescharacteristic
78C2×C22⋊C4×D83C2211yescharacteristic
79C2×C22⋊C4×D83C2211yescharacteristic
80C2×C22⋊C4×D83C2211yescharacteristic
81C2×C42×D83C2211yescharacteristic
82C2×C42×D83C2211yescharacteristic, complemented
83#19127635C2211yescharacteristic, complemented
84#19127634C2211yescharacteristic, complemented
85#19127630C2211yescharacteristic, complemented
86#19127629C2211yescharacteristic, complemented
87#19127623C2211yescharacteristic, complemented
88#19127623C2211yescharacteristic, complemented
89#19127622C2211yescharacteristic, complemented
90#19127619C2211yescharacteristic, complemented
91#19127619C2211yescharacteristic, complemented
92#19127618C2211yescharacteristic
93#19127618C2211yescharacteristic, complemented
94#19127618C2211yescharacteristic, complemented
95#19127617C2211yescharacteristic, complemented
96#19127617C2211yescharacteristic, complemented
97#19127616C2211yescharacteristic, complemented
98#19127616C2211yescharacteristic, complemented
99#19127614C2211yescharacteristic, complemented
100#19127611C2211yescharacteristic
101#19127611C2211yescharacteristic
102#19127610C2211yescharacteristic
103#19127610C2211yescharacteristic, complemented
104#19127610C2211yescharacteristic, complemented
105#19127609C2211yescharacteristic
106#19127609C2211yescharacteristic
107#19127604C2211yescharacteristic
108#19127603C2211yescharacteristic
109#19127603C2211yescharacteristic, complemented
110#19127602C2211yescharacteristic
111#19127601C2211yescharacteristic
112#19127601C2211yescharacteristic
113#19127601C2211yescharacteristic
114#19127601C2211yescharacteristic
115#19127601C2211yescharacteristic
116#19127601C2211yescharacteristic
117#19127601C2211yescharacteristic
118#19127601C2211yescharacteristic
119#19127601C2211yescharacteristic, complemented
120#19127601C2211yescharacteristic, complemented
121#19127601C2211yescharacteristic, complemented
122#19127601C2211yescharacteristic, complemented
123#19127601C2211yescharacteristic, complemented
124#19127601C2211yescharacteristic, complemented
125#19127601C2211yescharacteristic, complemented
126#19127601C2211yescharacteristic, complemented
127#19127598C2211yescharacteristic, complemented
128#19127596C2211yescharacteristic, complemented
129#19127596C2211yescharacteristic, complemented
130#19127596C2211yescharacteristic, complemented
131#19127595C2211yescharacteristic, complemented
132#19127595C2211yescharacteristic, complemented
133#19127595C2211yescharacteristic, complemented
134#19127595C2211yescharacteristic, complemented
135#19127594C2211yescharacteristic, complemented
136#19127593C2211yescharacteristic, complemented
137#19127592C2211yescharacteristic, complemented
138#19127592C2211yescharacteristic, complemented
139#19127591C2211yescharacteristic, complemented
140#19127591C2211yescharacteristic, complemented
141#19127591C2211yescharacteristic, complemented
142#19127591C2211yescharacteristic, complemented
143#19127590C2211yescharacteristic, complemented
144#19127589C2211yescharacteristic, complemented
145#19127581C2211yescharacteristic, complemented
146#19127579C2211yescharacteristic
147#19127579C2211yescharacteristic
148#19127579C2211yescharacteristic, complemented
149#19127579C2211yescharacteristic, complemented
150#19127578C2211yescharacteristic, complemented
151#19127577C2211yescharacteristic
152#19127577C2211yescharacteristic
153#19127577C2211yescharacteristic, complemented
154#19127577C2211yescharacteristic, complemented
155#19127575C2211yescharacteristic
156#19127572C2211yescharacteristic
157#19127570C2211yescharacteristic, complemented
158#19127560C2211yescharacteristic
159#19127560C2211yescharacteristic, complemented
160#19127556C2211yescharacteristic
161#19127556C2211yescharacteristic
162C4⋊C4×Dic83C2211yescharacteristic, complemented
163C4⋊C4×Dic83C2211yescharacteristic, complemented
164#19127552C2211yescharacteristic, complemented
165C22⋊C4×Dic83C2211yescharacteristic, complemented
166C4×(C2×D83)⋊C4C2211yescharacteristic
167C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
168#19127548C2211yescharacteristic
169#19127548C2211yescharacteristic
170#19127548C2211yescharacteristic, complemented
171#19127548C2211yescharacteristic, complemented
172#19127548C2211yescharacteristic, complemented
173C42×Dic83C2211yescharacteristic, complemented
174C2×#126×C83C2211yescharacteristic, complemented
175C2×#124×C83C2211yescharacteristic, complemented
176#396×C83C2211yescharacteristic, complemented
177#396×C83C2211yescharacteristic, complemented
178#395×C83C2211yescharacteristic, complemented
179#394×C83C2211yescharacteristic
180#394×C83C2211yescharacteristic, complemented
181#394×C83C2211yescharacteristic, complemented
182#393×C83C2211yescharacteristic, complemented
183#392×C83C2211yescharacteristic
184#390×C83C2211yescharacteristic
185#390×C83C2211yescharacteristic, complemented
186#388×C83C2211yescharacteristic, complemented
187#388×C83C2211yescharacteristic, complemented
188C4×C4⋊C4×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C24×D83C2311yescharacteristic
191C22×Dic166C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×D332C2311yescharacteristic
199C22×D332C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C22⋊D83C2311yescharacteristic
206C22×C22⋊D83C2311yescharacteristic
207C22×C22⋊D83C2311yescharacteristic
208C22×C22⋊D83C2311yescharacteristic
209C22×C22⋊D83C2311yescharacteristic
210C22×C22⋊D83C2311yescharacteristic
211C2×D4×D83—24no—
212C2×D4×D83—42no—
213C2×D4×D83—42no—
214C23×Dic83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222C22×C4×D83C2311yescharacteristic
223C22×C4×D83C2311yescharacteristic
224#14581790—42no—
225#14581788—42no—
226#14581788—42no—
227#14581787—24no—
228#14581786—24no—
229#14581785—24no—
230#14581781—24no—
231#14581781—42no—
232#14581780—24no—
233#14581779—42no—
234#14581778—24no—
235#14581777—24no—
236#14581776—24no—
237#14581774—24no—
238#14581774—24no—
239#14581770—24no—
240#14581768—24no—
241#14581767—24no—
242#14581767—24no—
243#14581767—42no—
244#14581765—24no—
245#14581765—24no—
246#14581765—24no—
247#14581765—24no—
248#14581765—42no—
249#14581765—42no—
250#14581765—42no—
251#14581764—24no—
252#14581763—42no—
253#14581762—24no—
254#14581762—24no—
255#14581762—24no—
256#14581762—24no—
257#14581760—24no—
258#14581760—24no—
259C4×D332D418yescomplemented
260#14581754—24no—
261#14581754—24no—
262#14581754—24no—
263(C22⋊D83)⋊C4—24no—
264(C22⋊D83)⋊C4—42no—
265C2×C4⋊Dic83C2311yescharacteristic
266C2×C4⋊Dic83C2311yescharacteristic
267C2×C4⋊Dic83C2311yescharacteristic
268C2×C4⋊Dic83C2311yescharacteristic
269C2×Dic83⋊C4C2311yescharacteristic
270C2×Dic83⋊C4C2311yescharacteristic
271C2×Dic83⋊C4C2311yescharacteristic
272C2×Dic83⋊C4C2311yescharacteristic
273C2×Dic83⋊C4C2311yescharacteristic
274C2×Dic83⋊C4C2311yescharacteristic
275C2×Dic83⋊C4C2311yescharacteristic
276C2×Dic83⋊C4C2311yescharacteristic
277C2×Dic83⋊C4C2311yescharacteristic
278C2×Dic83⋊C4C2311yescharacteristic
279C2×Dic83⋊C4C2311yescharacteristic
280C2×Dic83⋊C4C2311yescharacteristic
281C2×Dic83⋊C4C2311yescharacteristic
282C4⋊C4×D83—42no—
283C2×C22⋊Dic83C2311yescharacteristic
284C2×C22⋊Dic83C2311yescharacteristic
285C2×C22⋊Dic83C2311yescharacteristic
286C2×C22⋊Dic83C2311yescharacteristic
287C2×C22⋊Dic83C2311yescharacteristic
288C2×C22⋊Dic83C2311yescharacteristic
289C2×C22⋊Dic83C2311yescharacteristic
290C2×C22⋊Dic83C2311yescharacteristic
291C2×C22⋊Dic83C2311yescharacteristic
292C2×C22⋊Dic83C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C2×(C2×D83)⋊C4C2311yescharacteristic
303C2×(C2×D83)⋊C4C2311yescharacteristic
304C2×(C2×D83)⋊C4C2311yescharacteristic
305C2×(C2×D83)⋊C4C2311yescharacteristic
306C2×(C2×D83)⋊C4C2311yescharacteristic
307C2×(C2×D83)⋊C4C2311yescharacteristic
308C2×(C2×D83)⋊C4C2311yescharacteristic
309C2×(C2×D83)⋊C4C2311yescharacteristic
310C2×(C2×D83)⋊C4C2311yescharacteristic
311C2×(C2×D83)⋊C4C2311yescharacteristic
312C2×(C2×D83)⋊C4C2311yescharacteristic
313C2×(C2×D83)⋊C4C2311yescharacteristic
314C2×(C2×D83)⋊C4C2311yescharacteristic
315C2×(C2×D83)⋊C4C2311yescharacteristic
316C2×(C2×D83)⋊C4C2311yescharacteristic
317C2×(C2×D83)⋊C4C2311yescharacteristic
318C2×(C2×D83)⋊C4C2311yescharacteristic
319C2×(C2×D83)⋊C4C2311yescharacteristic
320C2×(C2×D83)⋊C4C2311yescharacteristic
321C2×(C2×D83)⋊C4C2311yescharacteristic
322C2×(C2×D83)⋊C4C2311yescharacteristic
323C2×(C2×D83)⋊C4C2311yescharacteristic
324C2×(C2×D83)⋊C4C2311yescharacteristic
325C2×(C2×D83)⋊C4C2311yescharacteristic
326C2×(C2×D83)⋊C4C2311yescharacteristic
327C2×(C2×D83)⋊C4C2311yescharacteristic
328C22⋊C4×D83—24no—
329C22⋊C4×D83—24no—
330C22⋊C4×D83—42no—
331C22⋊C4×D83—42no—
332C2×C4×Dic83C2311yescharacteristic
333C2×C4×Dic83C2311yescharacteristic
334C2×C4×Dic83C2311yescharacteristic
335C2×C4×Dic83C2311yescharacteristic
336C2×C4×Dic83C2311yescharacteristic
337C2×C4×Dic83C2311yescharacteristic
338C2×C4×Dic83C2311yescharacteristic
339C2×C4×Dic83C2311yescharacteristic
340C2×C4×Dic83C2311yescharacteristic
341C2×C4×Dic83C2311yescharacteristic
342C2×C4×Dic83C2311yescharacteristic
343C2×C4×Dic83C2311yescharacteristic
344C42×D83—42no—
345C42×D83—42no—
346C83⋊#95C2311yescharacteristic
347C83⋊#95C2311yescharacteristic
348C83⋊#95C2311yescharacteristic
349C83⋊#95C2311yescharacteristic
350C83⋊#95C2311yescharacteristic
351C83⋊#95C2311yescharacteristic
352C83⋊#95C2311yescharacteristic
353C83⋊#95C2311yescharacteristic
354C83⋊#95C2311yescharacteristic
355C83⋊#95C2311yescharacteristic
356C83⋊#95C2311yescharacteristic
357C83⋊#95C2311yescharacteristic
358C83⋊#95C2311yescharacteristic
359C83⋊#95C2311yescharacteristic
360C22×Q8×C83C2311yescharacteristic
361C22×D4×C83C2311yescharacteristic
362C22×D4×C83C2311yescharacteristic
363C22×D4×C83C2311yescharacteristic
364#126×C83—24no—
365#124×C83—24no—
366C2×C4⋊C4×C83C2311yescharacteristic
367C2×C4⋊C4×C83C2311yescharacteristic
368C2×C4⋊C4×C83C2311yescharacteristic
369C2×C4⋊C4×C83C2311yescharacteristic
370C2×C4⋊C4×C83C2311yescharacteristic
371C2×C4⋊C4×C83C2311yescharacteristic
372C2×C4⋊C4×C83C2311yescharacteristic
373C2×C22⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83C2311yescharacteristic
375C2×C22⋊C4×C83C2311yescharacteristic
376C2×C22⋊C4×C83C2311yescharacteristic
377C2×C22⋊C4×C83C2311yescharacteristic
378C2×C22⋊C4×C83C2311yescharacteristic
379C2×C22⋊C4×C83C2311yescharacteristic
380C2×C22⋊C4×C83C2311yescharacteristic
381C2×C22⋊C4×C83C2311yescharacteristic
382C2×C22⋊C4×C83C2311yescharacteristic
383C2×C22⋊C4×C83C2311yescharacteristic
384C2×C22⋊C4×C83C2311yescharacteristic
385C2×C22⋊C4×C83C2311yescharacteristic
386C2×C22⋊C4×C83C2311yescharacteristic
387C2×C22⋊C4×C83C2311yescharacteristic
388C2×C42×C83C2311yescharacteristic
389C2×C42×C83C2311yescharacteristic
390C2×C42×C83C2311yescharacteristic
391#95×C83C2311yescharacteristic
392#95×C83C2311yescharacteristic
393#95×C83C2311yescharacteristic
394#95×C83C2311yescharacteristic
395#95×C83C2311yescharacteristic
396#95×C83C2311yescharacteristic
397C23×D83—22no—
398C23×D83—22no—
399C23×D83—22no—
400C23×D83—22no—
401C23×D83—22no—
402C23×D83—22no—
403C23×D83—41no—
404C23×D83—41no—
405C23×D83—41no—
406C23×D83—41no—
407C23×D83—41no—
408C23×D83—41no—
409C23×D83—41no—
410C23×D83—41no—
411C23×D83C2411yescharacteristic
412C23×D83C2411yescharacteristic
413C23×D83C2411yescharacteristic
414C23×D83C2411yescharacteristic
415C23×D83C2411yescharacteristic
416C2×Dic166—22no—
417C2×Dic166—41no—
418C2×Dic166—41no—
419C2×D332—22no—
420C2×D332—22no—
421C2×D332—22no—
422C2×D332—22no—
423C2×D332—22no—
424C2×D332—22no—
425C2×D332—22no—
426C2×D332—22no—
427C2×D332—22no—
428C2×D332—22no—
429C2×D332—22no—
430C2×D332—41no—
431C2×D332—41no—
432C2×D332—41no—
433C2×D332—41no—
434C2×D332—41no—
435C2×D332—41no—
436C2×D332—41no—
437C2×D332—41no—
438C2×D332—41no—
439C2×D332—41no—
440C2×D332—41no—
441C2×D332—41no—
442C2×D332C2×D414yes—
443C2×C22⋊D83—22no—
444C2×C22⋊D83—22no—
445C2×C22⋊D83—22no—
446C2×C22⋊D83—22no—
447C2×C22⋊D83—22no—
448C2×C22⋊D83—22no—
449C2×C22⋊D83—22no—
450C2×C22⋊D83—22no—
451C2×C22⋊D83—22no—
452C2×C22⋊D83—22no—
453C2×C22⋊D83—22no—
454C2×C22⋊D83—22no—
455C2×C22⋊D83—22no—
456C2×C22⋊D83—22no—
457C2×C22⋊D83—22no—
458C2×C22⋊D83—22no—
459C2×C22⋊D83—22no—
460C2×C22⋊D83—22no—
461C2×C22⋊D83—22no—
462C2×C22⋊D83—41no—
463C2×C22⋊D83—41no—
464C2×C22⋊D83—41no—
465C2×C22⋊D83—41no—
466C2×C22⋊D83—41no—
467C2×C22⋊D83—41no—
468C2×C22⋊D83—41no—
469C2×C22⋊D83—41no—
470C2×C22⋊D83—41no—
471C2×C22⋊D83—41no—
472C2×C22⋊D83—41no—
473C2×C22⋊D83—41no—
474C2×C22⋊D83—41no—
475C2×C22⋊D83—41no—
476D4×D83—416no—
477C22×Dic83—22no—
478C22×Dic83—41no—
479C22×Dic83—41no—
480C22×Dic83C2411yescharacteristic
481C22×Dic83C2411yescharacteristic
482C22×Dic83C2411yescharacteristic
483C22×Dic83C2411yescharacteristic
484C22×Dic83C2411yescharacteristic
485C22×Dic83C2411yescharacteristic
486C22×Dic83C2411yescharacteristic
487C22×Dic83C2411yescharacteristic
488C22×Dic83C2411yescharacteristic
489C22×Dic83C2411yescharacteristic
490C22×Dic83C2411yescharacteristic
491C2×C4×D83—22no—
492C2×C4×D83—22no—
493C2×C4×D83—22no—
494C2×C4×D83—22no—
495C2×C4×D83—22no—
496C2×C4×D83—22no—
497C2×C4×D83—22no—
498C2×C4×D83—22no—
499C2×C4×D83—22no—
500C2×C4×D83—22no—
501C2×C4×D83—22no—
502C2×C4×D83—22no—
503C2×C4×D83—41no—
504C2×C4×D83—41no—
505C2×C4×D83—41no—
506C2×C4×D83—41no—
507C2×C4×D83—41no—
508C2×C4×D83—41no—
509C2×C4×D83—41no—
510C2×C4×D83—41no—
511C2×C4×D83—41no—
512C2×C4×D83—41no—
513C2×C4×D83—41no—
514C2×C4×D83—41no—
515C2×C4×D83C2×D414yes—
516C2×C4×D83C2×D414yescomplemented
517C2×C4×D83#4114yes—
518C4⋊Dic83—22no—
519C4⋊Dic83—41no—
520C4⋊Dic83—41no—
521C4⋊Dic83C2×D414yescomplemented
522Dic83⋊C4—22no—
523Dic83⋊C4—22no—
524Dic83⋊C4—22no—
525Dic83⋊C4—22no—
526Dic83⋊C4—22no—
527Dic83⋊C4—22no—
528Dic83⋊C4—22no—
529Dic83⋊C4—22no—
530Dic83⋊C4—22no—
531Dic83⋊C4—22no—
532Dic83⋊C4—22no—
533Dic83⋊C4—41no—
534Dic83⋊C4—41no—
535C22⋊Dic83—22no—
536C22⋊Dic83—22no—
537C22⋊Dic83—22no—
538C22⋊Dic83—22no—
539C22⋊Dic83—22no—
540C22⋊Dic83—22no—
541C22⋊Dic83—22no—
542C22⋊Dic83—41no—
543C22⋊Dic83—41no—
544C22⋊Dic83—41no—
545(C2×D83)⋊C4—22no—
546(C2×D83)⋊C4—22no—
547(C2×D83)⋊C4—22no—
548(C2×D83)⋊C4—22no—
549(C2×D83)⋊C4—22no—
550(C2×D83)⋊C4—22no—
551(C2×D83)⋊C4—22no—
552(C2×D83)⋊C4—22no—
553(C2×D83)⋊C4—22no—
554(C2×D83)⋊C4—22no—
555(C2×D83)⋊C4—22no—
556(C2×D83)⋊C4—22no—
557(C2×D83)⋊C4—22no—
558(C2×D83)⋊C4—22no—
559(C2×D83)⋊C4—22no—
560(C2×D83)⋊C4—22no—
561(C2×D83)⋊C4—22no—
562(C2×D83)⋊C4—22no—
563(C2×D83)⋊C4—22no—
564(C2×D83)⋊C4—22no—
565(C2×D83)⋊C4—22no—
566(C2×D83)⋊C4—22no—
567(C2×D83)⋊C4—22no—
568(C2×D83)⋊C4—41no—
569(C2×D83)⋊C4—41no—
570(C2×D83)⋊C4—41no—
571(C2×D83)⋊C4—41no—
572(C2×D83)⋊C4—41no—
573(C2×D83)⋊C4—41no—
574(C2×D83)⋊C4—41no—
575(C2×D83)⋊C4—41no—
576(C2×D83)⋊C4—41no—
577(C2×D83)⋊C4C2×D414yes—
578(C2×D83)⋊C4C2×D414yescomplemented
579(C2×D83)⋊C4#4114yes—
580C4×Dic83—22no—
581C4×Dic83—22no—
582C4×Dic83—22no—
583C4×Dic83—22no—
584C4×Dic83—22no—
585C4×Dic83—22no—
586C4×Dic83—22no—
587C4×Dic83—22no—
588C4×Dic83—22no—
589C4×Dic83—41no—
590C4×Dic83—41no—
591C4×Dic83—41no—
592C24×C83C2411yescharacteristic
593C24×C83C2411yescharacteristic
594C24×C83C2411yescharacteristic
595C2×Q8×C83—22no—
596C2×Q8×C83—41no—
597C2×Q8×C83—41no—
598C2×D4×C83—22no—
599C2×D4×C83—22no—
600C2×D4×C83—22no—
601C2×D4×C83—41no—
602C2×D4×C83—41no—
603C2×D4×C83—41no—
604C2×D4×C83—41no—
605C2×D4×C83—41no—
606C2×D4×C83—41no—
607C22×C4×C83C2411yescharacteristic
608C22×C4×C83C2411yescharacteristic
609C22×C4×C83C2411yescharacteristic
610C22×C4×C83C2411yescharacteristic
611C22×C4×C83C2411yescharacteristic
612C22×C4×C83C2411yescharacteristic
613C22×C4×C83C2411yescharacteristic
614C22×C4×C83C2411yescharacteristic
615C22×C4×C83C2411yescharacteristic
616C22×C4×C83C2411yescharacteristic
617C22×C4×C83C2411yescharacteristic
618C22×C4×C83C2411yescharacteristic
619C4⋊C4×C83—22no—
620C4⋊C4×C83—22no—
621C4⋊C4×C83—22no—
622C4⋊C4×C83—22no—
623C4⋊C4×C83—22no—
624C4⋊C4×C83—41no—
625C4⋊C4×C83—41no—
626C22⋊C4×C83—22no—
627C22⋊C4×C83—22no—
628C22⋊C4×C83—22no—
629C22⋊C4×C83—22no—
630C22⋊C4×C83—22no—
631C22⋊C4×C83—22no—
632C22⋊C4×C83—22no—
633C22⋊C4×C83—22no—
634C22⋊C4×C83—22no—
635C22⋊C4×C83—41no—
636C22⋊C4×C83—41no—
637C22⋊C4×C83—41no—
638C22⋊C4×C83—41no—
639C22⋊C4×C83—41no—
640C22⋊C4×C83—41no—
641C42×C83—41no—
642C42×C83—41no—
643C42×C83C2×D414yescomplemented
644C23×C83—21no—
645C23×C83—21no—
646C23×C83—21no—
647C23×C83—21no—
648C23×C83—21no—
649C23×C83—21no—
650C23×C83—21no—
651C23×C83—21no—
652C23×C83—21no—
653C23×C83—21no—
654C23×C83—21no—
655C23×C83—21no—
656C23×C83—21no—
657C23×C83—21no—
658C23×C83—21no—
659C23×C83—21no—
660C23×C83—21no—
661C23×C83—21no—
662C23×C83—21no—
663C23×C83—21no—
664C23×C83—21no—
665C23×C83C2511yescharacteristic
666C22×D83—21no—
667C22×D83—21no—
668C22×D83—21no—
669C22×D83—21no—
670C22×D83—21no—
671C22×D83—21no—
672C22×D83—21no—
673C22×D83—21no—
674C22×D83—21no—
675C22×D83—21no—
676C22×D83—21no—
677C22×D83—21no—
678C22×D83—21no—
679C22×D83—21no—
680C22×D83—21no—
681C22×D83—21no—
682C22×D83—21no—
683C22×D83—21no—
684C22×D83—21no—
685C22×D83—21no—
686C22×D83—21no—
687C22×D83—21no—
688C22×D83—21no—
689C22×D83—21no—
690C22×D83—21no—
691C22×D83—21no—
692C22×D83—21no—
693C22×D83—21no—
694C22×D83—21no—
695C22×D83—21no—
696C22×D83—21no—
697C22×D83—44no—
698C22×D83—44no—
699C22×D83—44no—
700C22×D83—44no—
701C22×D83—44no—
702C22×D83—44no—
703C22×D83—82no—
704C22×D83—82no—
705C22×D83—82no—
706C22×D83—82no—
707C22×D83—82no—
708C22×D83—82no—
709C22×D83—82no—
710C22×D83—82no—
711C22×D83C22×D412yes—
712C22×D83C22×D412yes—
713C22×D83C2×#4112yes—
714C22×D83C2×#4112yes—
715Q8×C83—82no—
716D4×C83—44no—
717D4×C83—82no—
718D4×C83—82no—
719C2×C4×C83—21no—
720C2×C4×C83—21no—
721C2×C4×C83—21no—
722C2×C4×C83—21no—
723C2×C4×C83—21no—
724C2×C4×C83—21no—
725C2×C4×C83—21no—
726C2×C4×C83—21no—
727C2×C4×C83—21no—
728C2×C4×C83—21no—
729C2×C4×C83—21no—
730C2×C4×C83—21no—
731C2×C4×C83—21no—
732C2×C4×C83—21no—
733C2×C4×C83—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—21no—
737C2×C4×C83—21no—
738C2×C4×C83—21no—
739C2×C4×C83—21no—
740C2×C4×C83—21no—
741C2×C4×C83—21no—
742C2×C4×C83—21no—
743C2×C4×C83—21no—
744C2×C4×C83—21no—
745C2×C4×C83—21no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83C22×D412yes—
751C2×C4×C83C22×D412yes—
752C2×C4×C83C22×D412yes—
753C2×C4×C83C2×#4112yes—
754C2×C4×C83C2×#4112yes—
755C22⋊D83—44no—
756C22⋊D83—44no—
757C22⋊D83—44no—
758C22⋊D83—44no—
759C22⋊D83—82no—
760C22⋊D83—82no—
761C22⋊D83—82no—
762C22⋊D83—82no—
763C22⋊D83—82no—
764C22⋊D83—82no—
765C22⋊D83—82no—
766C2×Dic83—21no—
767C2×Dic83—21no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—21no—
771C2×Dic83—21no—
772C2×Dic83—21no—
773C2×Dic83—21no—
774C2×Dic83—21no—
775C2×Dic83—21no—
776C2×Dic83—21no—
777C2×Dic83—21no—
778C2×Dic83—21no—
779C2×Dic83—21no—
780C2×Dic83—21no—
781C2×Dic83—21no—
782C2×Dic83—21no—
783C2×Dic83—21no—
784C2×Dic83—21no—
785C2×Dic83—21no—
786C2×Dic83—21no—
787C2×Dic83—21no—
788C2×Dic83—21no—
789C2×Dic83—21no—
790C2×Dic83—21no—
791C2×Dic83—21no—
792C2×Dic83—82no—
793C2×Dic83C22×D412yes—
794C2×Dic83C22×D412yes—
795C2×Dic83C2×#4112yes—
796C2×Dic83C2×#4112yes—
797C2×Dic83H(5,𝔽2)12yes—
798C2×Dic83H(5,𝔽2)12yes—
799C2×Dic83H(5,𝔽2)12yes—
800D332—28no—
801D332—44no—
802D332—44no—
803D332—82no—
804D332—82no—
805D332—82no—
806D332—82no—
807D332—82no—
808C4×D83—28no—
809C4×D83—44no—
810C4×D83—44no—
811C4×D83—44no—
812C4×D83—44no—
813C4×D83—44no—
814C4×D83—82no—
815C4×D83—82no—
816C4×D83—82no—
817Dic166—82no—
818C22×C83—41no—
819C22×C83—41no—
820C22×C83—41no—
821C22×C83—41no—
822C22×C83—41no—
823C22×C83—41no—
824C22×C83—41no—
825C22×C83—41no—
826C22×C83—41no—
827C22×C83—41no—
828C22×C83—41no—
829C22×C83—41no—
830C22×C83—41no—
831C22×C83—41no—
832C22×C83—41no—
833C22×C83—41no—
834C22×C83—41no—
835C22×C83—41no—
836C22×C83—41no—
837C22×C83—41no—
838C22×C83—41no—
839C22×C83C23×D411yescharacteristic
840C22×C83C22×#4111yescharacteristic
841C22×C83C22×#4111yescharacteristic
842C22×C83C2×H(5,𝔽2)11yescharacteristic
843C22×C83C2×H(5,𝔽2)11yescharacteristic
844C22×C83C2×H(5,𝔽2)11yescharacteristic
845C22×C83#58511yescharacteristic
846C2×D83—22no—
847C2×D83—22no—
848C2×D83—22no—
849C2×D83—22no—
850C2×D83—22no—
851C2×D83—22no—
852C2×D83—22no—
853C2×D83—22no—
854C2×D83—22no—
855C2×D83—41no—
856C2×D83—41no—
857C2×D83—41no—
858C2×D83—41no—
859C2×D83—41no—
860C2×D83—41no—
861C2×D83—41no—
862C2×D83—41no—
863C2×D83—41no—
864C2×D83—41no—
865C2×D83—41no—
866C2×D83—41no—
867C2×D83—41no—
868C2×D83—41no—
869C2×D83—41no—
870C2×D83—41no—
871C2×D83—41no—
872C2×D83—41no—
873C2×D83—41no—
874C2×D83—41no—
875C2×D83—41no—
876C2×D83—41no—
877C2×D83—41no—
878C2×D83—41no—
879C2×D83—41no—
880C2×D83—88no—
881C2×D83—88no—
882C2×D83#53214yes—
883C4×C83—22no—
884C4×C83—22no—
885C4×C83—22no—
886C4×C83—22no—
887C4×C83—22no—
888C4×C83—41no—
889C4×C83—41no—
890C4×C83—41no—
891C4×C83—41no—
892C4×C83—41no—
893C4×C83—41no—
894C4×C83—41no—
895Dic83—22no—
896Dic83—22no—
897Dic83—22no—
898Dic83—22no—
899Dic83—41no—
900Dic83—41no—
901Dic83—41no—
902Dic83—41no—
903Dic83—41no—
904Dic83—41no—
905Dic83#53814yescomplemented
906#35007—831nomaximal, Sylow
907C2×C83—81no—
908C2×C83—81no—
909C2×C83—81no—
910C2×C83C2×#53211yescharacteristic
911C2×C83C2×#53811yescharacteristic
912C2×C83#346011yescharacteristic
913C2×C83#349611yescharacteristic
914C2×C83#349811yescharacteristic
915C2×C83#351411yescharacteristic
916C2×C83#351911yescharacteristic
917D83—24no—
918D83—42no—
919D83—81no—
920D83—81no—
921D83—81no—
922C2×#538—831no—
923C2×#538—831no—
924#2860—831no—
925#2858—831no—
926#2856—831no—
927#2854—831no—
928#2662—831no—
929#2662D8311yescharacteristic, complemented
930#2661—831no—
931#2661—831no—
932#2555—831no—
933#2555—831no—
934#2554—831no—
935#2554—831no—
936#2512—831no—
937#2491—831no—
938#2472—831no—
939#2472—831no—
940#2445—831no—
941#2440—831no—
942#2433—831no—
943#2428—831no—
944#2424—831no—
945#2424—831no—
946#2416—831no—
947#2408—831no—
948#2321—831no—
949#2321—831no—
950C4×#121—831no—
951C2×#390—831no—
952C42×D4—831no—
953C83#3500711yescharacteristic, complemented, Sylow
954C23×D4—831no—
955#538—1668no—
956#538—1668no—
957C2×C4⋊Q8—831no—
958C2×#127—831no—
959C2×#127—831no—
960C2×#126—831no—
961C2×#126—831no—
962C2×#126—831no—
963C2×#126C2×D8311yescharacteristic, complemented
964C2×#124—831no—
965C2×#124—831no—
966C2×#124—831no—
967C2×#124—831no—
968C2×#124—831no—
969C2×#124C2×D8311yescharacteristic, complemented
970C2×#123—831no—
971C2×#123—831no—
972C2×#123—831no—
973C2×#123—831no—
974C2×C22⋊Q8—831no—
975C2×C22⋊Q8—831no—
976C2×#121—831no—
977C2×#121—831no—
978C2×#121—831no—
979C2×#121—831no—
980C2×#121—831no—
981C2×#121—831no—
982C2×#121—831no—
983C2×#121—831no—
984C2×#121—831no—
985C2×#121—831no—
986C2×#121—831no—
987C2×#121—831no—
988C2×#120—831no—
989C2×#120—831no—
990C2×#120—831no—
991C2×#120—831no—
992C2×#120—831no—
993C2×#120—831no—
994C2×C4×D4—831no—
995C2×C4×D4—831no—
996C2×C4×D4—831no—
997C2×C4×D4—831no—
998C2×C4×D4—831no—
999C2×C4×D4—831no—
1000C22×C4⋊C4—831no—
1001C22×C22⋊C4—831no—
1002C22×C22⋊C4—831no—
1003C22×C22⋊C4—831no—
1004C22×C22⋊C4—831no—
1005C22×C42—831no—
1006C22×C42—831no—
1007#398—831no—
1008#398—831no—
1009#397—831no—
1010#397—831no—
1011#396—831no—
1012#396—831no—
1013#396C2×D8311yescharacteristic, complemented
1014#396C2×D8311yescharacteristic, complemented
1015#395—831no—
1016#395C2×D8311yescharacteristic, complemented
1017#394—831no—
1018#394—831no—
1019#394—831no—
1020#394—831no—
1021#394—831no—
1022#394—831no—
1023#394—831no—
1024#394—831no—
1025#394—831no—
1026#394C2×D8311yescharacteristic
1027#394C2×D8311yescharacteristic, complemented
1028#394C2×D8311yescharacteristic, complemented
1029#393—831no—
1030#393C2×D8311yescharacteristic, complemented
1031#392—831no—
1032#392—831no—
1033#392—831no—
1034#392—831no—
1035#392—831no—
1036#392—831no—
1037#392—831no—
1038#392C2×D8311yescharacteristic
1039#390—831no—
1040#390—831no—
1041#390—831no—
1042#390—831no—
1043#390—831no—
1044#390—831no—
1045#390—831no—
1046#390—831no—
1047#390—831no—
1048#390—831no—
1049#390—831no—
1050#390—831no—
1051#390—831no—
1052#390—831no—
1053#390—831no—
1054#390—831no—
1055#390—831no—
1056#390—831no—
1057#390—831no—
1058#390—831no—
1059#390C2×D8311yescharacteristic
1060#390C2×D8311yescharacteristic, complemented
1061#389—831no—
1062#389—831no—
1063#389—831no—
1064#389—831no—
1065#388—831no—
1066#388—831no—
1067#388—831no—
1068#388—831no—
1069#388—831no—
1070#388—831no—
1071#388—831no—
1072#388—831no—
1073#388—831no—
1074#388—831no—
1075#388—831no—
1076#388—831no—
1077#388—831no—
1078#388—831no—
1079#388C2×D8311yescharacteristic, complemented
1080#388C2×D8311yescharacteristic, complemented
1081#386—831no—
1082#386—831no—
1083#386—831no—
1084#386—831no—
1085#386—831no—
1086#386—831no—
1087#386—831no—
1088#386—831no—
1089#386—831no—
1090#386—831no—
1091#385—831no—
1092#385—831no—
1093#384—831no—
1094#380—831no—
1095#380—831no—
1096#379—831no—
1097#379—831no—
1098C4×C4⋊C4—831no—
1099C4×C4⋊C4—831no—
1100C4×C4⋊C4—831no—
1101C4×C4⋊C4C2×D8311yescharacteristic, complemented
1102C4×C22⋊C4—831no—
1103C4×C22⋊C4—831no—
1104C4×C22⋊C4—831no—
1105C4×C22⋊C4—831no—
1106C4×C22⋊C4—831no—
1107C4×C22⋊C4—831no—
1108C4×C22⋊C4—831no—
1109C4×C22⋊C4—831no—
1110C43—831no—
1111C25—831no—
1112C25—831no—
1113C22×Q8—831no—
1114C22×Q8C22×D8311yescharacteristic
1115C22×D4—3322no—
1116C22×D4—3322no—
1117C22×D4—831no—
1118C22×D4—831no—
1119C22×D4—831no—
1120C22×D4—831no—
1121C22×D4—831no—
1122C22×D4—831no—
1123C22×D4—831no—
1124C22×D4—831no—
1125C22×D4—831no—
1126C22×D4—831no—
1127C22×D4—831no—
1128C22×D4—831no—
1129C22×D4—831no—
1130C22×D4—831no—
1131C22×D4—831no—
1132C22×D4—831no—
1133C22×D4—831no—
1134C22×D4—831no—
1135C22×D4—831no—
1136C22×D4—1664no—
1137C22×D4C22×D8311yescharacteristic
1138C22×D4C22×D8311yescharacteristic
1139C22×D4C22×D8311yescharacteristic
1140C23×C4—831no—
1141C23×C4—831no—
1142C23×C4—831no—
1143C23×C4—831no—
1144C23×C4—831no—
1145C23×C4—831no—
1146C23×C4—831no—
1147C23×C4—831no—
1148C23×C4—831no—
1149C23×C4—831no—
1150C4⋊Q8—3322no—
1151#127—3322no—
1152#127—3322no—
1153#126—24no—
1154#126—1664no—
1155#126—1664no—
1156#126—1664no—
1157#124—24no—
1158#124—3322no—
1159#124—3322no—
1160#124—1664no—
1161#124—1664no—
1162#124—1664no—
1163#123—1664no—
1164#123—1664no—
1165#123—1664no—
1166#123—1664no—
1167C22⋊Q8—1664no—
1168C22⋊Q8—1664no—
1169#121—3322no—
1170#121—3322no—
1171#121—3322no—
1172#121—3322no—
1173#121—3322no—
1174#121—1664no—
1175#121—1664no—
1176#121—1664no—
1177#121—1664no—
1178#121—1664no—
1179#121—1664no—
1180#121—1664no—
1181#120—1664no—
1182#120—1664no—
1183#120—1664no—
1184#120—1664no—
1185#120—1664no—
1186#120—1664no—
1187C4×D4—3322no—
1188C4×D4—838no—
1189C4×D4—1664no—
1190C4×D4—1664no—
1191C4×D4—1664no—
1192C4×D4—1664no—
1193C2×C4⋊C4—3322no—
1194C2×C4⋊C4—831no—
1195C2×C4⋊C4—831no—
1196C2×C4⋊C4—831no—
1197C2×C4⋊C4—831no—
1198C2×C4⋊C4—831no—
1199C2×C4⋊C4—831no—
1200C2×C4⋊C4—831no—
1201C2×C4⋊C4—831no—
1202C2×C4⋊C4—831no—
1203C2×C4⋊C4—831no—
1204C2×C4⋊C4—831no—
1205C2×C4⋊C4—831no—
1206C2×C4⋊C4—831no—
1207C2×C4⋊C4—831no—
1208C2×C4⋊C4—831no—
1209C2×C4⋊C4—831no—
1210C2×C4⋊C4—831no—
1211C2×C4⋊C4C22×D8311yescharacteristic
1212C2×C4⋊C4C22×D8311yescharacteristic
1213C2×C4⋊C4C22×D8311yescharacteristic
1214C2×C4⋊C4C22×D8311yescharacteristic
1215C2×C4⋊C4C22×D8311yescharacteristic
1216C2×C4⋊C4C22×D8311yescharacteristic
1217C2×C4⋊C4C22×D8311yescharacteristic
1218C2×C22⋊C4—3322no—
1219C2×C22⋊C4—3322no—
1220C2×C22⋊C4—831no—
1221C2×C22⋊C4—831no—
1222C2×C22⋊C4—831no—
1223C2×C22⋊C4—831no—
1224C2×C22⋊C4—831no—
1225C2×C22⋊C4—831no—
1226C2×C22⋊C4—831no—
1227C2×C22⋊C4—831no—
1228C2×C22⋊C4—831no—
1229C2×C22⋊C4—831no—
1230C2×C22⋊C4—831no—
1231C2×C22⋊C4—831no—
1232C2×C22⋊C4—831no—
1233C2×C22⋊C4—831no—
1234C2×C22⋊C4—831no—
1235C2×C22⋊C4—831no—
1236C2×C22⋊C4—831no—
1237C2×C22⋊C4—831no—
1238C2×C22⋊C4—831no—
1239C2×C22⋊C4—831no—
1240C2×C22⋊C4—831no—
1241C2×C22⋊C4—831no—
1242C2×C22⋊C4—831no—
1243C2×C22⋊C4—831no—
1244C2×C22⋊C4—831no—
1245C2×C22⋊C4—831no—
1246C2×C22⋊C4—831no—
1247C2×C22⋊C4—831no—
1248C2×C22⋊C4—831no—
1249C2×C22⋊C4—831no—
1250C2×C22⋊C4—831no—
1251C2×C22⋊C4—831no—
1252C2×C22⋊C4—831no—
1253C2×C22⋊C4—831no—
1254C2×C22⋊C4—831no—
1255C2×C22⋊C4—831no—
1256C2×C22⋊C4—831no—
1257C2×C22⋊C4—831no—
1258C2×C22⋊C4—831no—
1259C2×C22⋊C4—831no—
1260C2×C22⋊C4—831no—
1261C2×C22⋊C4—831no—
1262C2×C22⋊C4—831no—
1263C2×C22⋊C4—831no—
1264C2×C22⋊C4—831no—
1265C2×C22⋊C4—1664no—
1266C2×C22⋊C4—1664no—
1267C2×C22⋊C4C22×D8311yescharacteristic
1268C2×C22⋊C4C22×D8311yescharacteristic
1269C2×C22⋊C4C22×D8311yescharacteristic
1270C2×C22⋊C4C22×D8311yescharacteristic
1271C2×C22⋊C4C22×D8311yescharacteristic
1272C2×C22⋊C4C22×D8311yescharacteristic
1273C2×C22⋊C4C22×D8311yescharacteristic
1274C2×C22⋊C4C22×D8311yescharacteristic
1275C2×C22⋊C4C22×D8311yescharacteristic
1276C2×C22⋊C4C22×D8311yescharacteristic
1277C2×C22⋊C4C22×D8311yescharacteristic
1278C2×C22⋊C4C22×D8311yescharacteristic
1279C2×C22⋊C4C22×D8311yescharacteristic
1280C2×C22⋊C4C22×D8311yescharacteristic
1281C2×C22⋊C4C22×D8311yescharacteristic
1282C2×C42—3322no—
1283C2×C42—3322no—
1284C2×C42—831no—
1285C2×C42—831no—
1286C2×C42—831no—
1287C2×C42—831no—
1288C2×C42—831no—
1289C2×C42—831no—
1290C2×C42—831no—
1291C2×C42—831no—
1292C2×C42—831no—
1293C2×C42—831no—
1294C2×C42—831no—
1295C2×C42—831no—
1296C2×C42C22×D8311yescharacteristic
1297C2×C42C22×D8311yescharacteristic
1298C2×C42C22×D8311yescharacteristic
1299#95—831no—
1300#95—831no—
1301#95—831no—
1302#95—831no—
1303#95—831no—
1304#95—831no—
1305#95—831no—
1306#95—831no—
1307#95—831no—
1308#95—831no—
1309#95—831no—
1310#95—831no—
1311#95—831no—
1312#95—831no—
1313#95C22×D8311yescharacteristic
1314#95C22×D8311yescharacteristic
1315#95C22×D8311yescharacteristic
1316#95C22×D8311yescharacteristic
1317#95C22×D8311yescharacteristic
1318#95C22×D8311yescharacteristic
1319C24—3321no—
1320C24—3321no—
1321C24—3321no—
1322C24—3321no—
1323C24—3321no—
1324C24—3321no—
1325C24—3321no—
1326C24—3321no—
1327C24—831no—
1328C24—831no—
1329C24—831no—
1330C24—831no—
1331C24—831no—
1332C24—1662no—
1333C24—1662no—
1334C24—1662no—
1335C24—1662no—
1336C24—1662no—
1337C24—1662no—
1338C24C23×D8311yescharacteristic
1339C24C23×D8311yescharacteristic
1340C24C23×D8311yescharacteristic
1341C2×Q8—22no—
1342C2×Q8—41no—
1343C2×Q8—41no—
1344C2×Q8—3321no—
1345C2×Q8—3321no—
1346C2×Q8—1662no—
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—3321no—
1357C2×D4—3321no—
1358C2×D4—3321no—
1359C2×D4—3321no—
1360C2×D4—3321no—
1361C2×D4—3321no—
1362C2×D4—3321no—
1363C2×D4—3321no—
1364C2×D4—3321no—
1365C2×D4—3321no—
1366C2×D4—3321no—
1367C2×D4—3321no—
1368C2×D4—33216no—
1369C2×D4—3321no—
1370C2×D4—3321no—
1371C2×D4—3321no—
1372C2×D4—3321no—
1373C2×D4—3321no—
1374C2×D4—3321no—
1375C2×D4—3321no—
1376C2×D4—3321no—
1377C2×D4—3321no—
1378C2×D4—3321no—
1379C2×D4—3321no—
1380C2×D4—3321no—
1381C2×D4—3321no—
1382C2×D4—3321no—
1383C2×D4—834no—
1384C2×D4—1662no—
1385C2×D4—1662no—
1386C2×D4—1662no—
1387C2×D4—1662no—
1388C2×D4—1662no—
1389C2×D4—1662no—
1390C2×D4—1662no—
1391C2×D4—1662no—
1392C2×D4—1662no—
1393C2×D4—1662no—
1394C2×D4—1662no—
1395C2×D4—1662no—
1396C2×D4—1662no—
1397C2×D4—1662no—
1398C2×D4—1662no—
1399C2×D4—1662no—
1400C2×D4—1662no—
1401C2×D4—1662no—
1402C2×D4—1662no—
1403C2×D4—1662no—
1404C2×D4—1662no—
1405C2×D4—1662no—
1406C2×D4—1662no—
1407C2×D4—1662no—
1408C2×D4—1662no—
1409C2×D4—1662no—
1410C2×D4—1662no—
1411C2×D4—1662no—
1412C2×D4—1662no—
1413C2×D4—1662no—
1414C22×C4—3321no—
1415C22×C4—3321no—
1416C22×C4—3321no—
1417C22×C4—3321no—
1418C22×C4—3321no—
1419C22×C4—3321no—
1420C22×C4—3321no—
1421C22×C4—3321no—
1422C22×C4—3321no—
1423C22×C4—3321no—
1424C22×C4—3321no—
1425C22×C4—3321no—
1426C22×C4—3321no—
1427C22×C4—3321no—
1428C22×C4—834no—
1429C22×C4—834no—
1430C22×C4—831no—
1431C22×C4—831no—
1432C22×C4—831no—
1433C22×C4—831no—
1434C22×C4—831no—
1435C22×C4—834no—
1436C22×C4—831no—
1437C22×C4—831no—
1438C22×C4—831no—
1439C22×C4—831no—
1440C22×C4—831no—
1441C22×C4—831no—
1442C22×C4—1662no—
1443C22×C4—1662no—
1444C22×C4—1662no—
1445C22×C4—1662no—
1446C22×C4—1662no—
1447C22×C4—1662no—
1448C22×C4—1662no—
1449C22×C4—1662no—
1450C22×C4—1662no—
1451C22×C4—1662no—
1452C22×C4—1662no—
1453C22×C4—1662no—
1454C22×C4—1662no—
1455C22×C4C23×D8311yescharacteristic
1456C22×C4C23×D8311yescharacteristic
1457C22×C4C23×D8311yescharacteristic
1458C22×C4C23×D8311yescharacteristic
1459C22×C4C23×D8311yescharacteristic
1460C22×C4C23×D8311yescharacteristic
1461C22×C4C23×D8311yescharacteristic
1462C22×C4C23×D8311yescharacteristic
1463C22×C4C23×D8311yescharacteristic
1464C22×C4C23×D8311yescharacteristic
1465C22×C4C23×D8311yescharacteristic
1466C22×C4C23×D8311yescharacteristic
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—22no—
1472C4⋊C4—41no—
1473C4⋊C4—41no—
1474C4⋊C4—3321no—
1475C4⋊C4—3321no—
1476C4⋊C4—3321no—
1477C4⋊C4—3321no—
1478C4⋊C4—834no—
1479C4⋊C4—1662no—
1480C4⋊C4—1662no—
1481C4⋊C4—1662no—
1482C4⋊C4—1662no—
1483C4⋊C4—1662no—
1484C4⋊C4—1662no—
1485C4⋊C4—1662no—
1486C4⋊C4—1662no—
1487C4⋊C4—1662no—
1488C4⋊C4—1662no—
1489C4⋊C4—1662no—
1490C4⋊C4—1662no—
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—3321no—
1507C22⋊C4—3321no—
1508C22⋊C4—3321no—
1509C22⋊C4—3321no—
1510C22⋊C4—3321no—
1511C22⋊C4—3321no—
1512C22⋊C4—3321no—
1513C22⋊C4—3321no—
1514C22⋊C4—3321no—
1515C22⋊C4—3321no—
1516C22⋊C4—3321no—
1517C22⋊C4—3321no—
1518C22⋊C4—834no—
1519C22⋊C4—834no—
1520C22⋊C4—834no—
1521C22⋊C4—1662no—
1522C22⋊C4—1662no—
1523C22⋊C4—1662no—
1524C22⋊C4—1662no—
1525C22⋊C4—1662no—
1526C22⋊C4—1662no—
1527C22⋊C4—1662no—
1528C22⋊C4—1662no—
1529C22⋊C4—1662no—
1530C22⋊C4—1662no—
1531C22⋊C4—1662no—
1532C22⋊C4—1662no—
1533C22⋊C4—1662no—
1534C22⋊C4—1662no—
1535C22⋊C4—1662no—
1536C22⋊C4—1662no—
1537C22⋊C4—1662no—
1538C22⋊C4—1662no—
1539C22⋊C4—1662no—
1540C22⋊C4—1662no—
1541C22⋊C4—1662no—
1542C22⋊C4—1662no—
1543C22⋊C4—1662no—
1544C22⋊C4—1662no—
1545C22⋊C4—1662no—
1546C22⋊C4—1662no—
1547C22⋊C4—1662no—
1548C22⋊C4—1662no—
1549C22⋊C4—1662no—
1550C22⋊C4—1662no—
1551C42—41no—
1552C42—41no—
1553C42—3321no—
1554C42—3321no—
1555C42—3321no—
1556C42—1662no—
1557C42—1662no—
1558C42—1662no—
1559C42—1662no—
1560C42—1662no—
1561C42—1662no—
1562C42—1662no—
1563C42—1662no—
1564C42—1662no—
1565C42D4×D8314yescomplemented
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—3324no—
1588C23—3324no—
1589C23—3324no—
1590C23—3324no—
1591C23—3324no—
1592C23—3324no—
1593C23—832no—
1594C23—832no—
1595C23—832no—
1596C23—832no—
1597C23—6642no—
1598C23—6642no—
1599C23—6642no—
1600C23—6642no—
1601C23—6642no—
1602C23—6642no—
1603C23—6642no—
1604C23—6642no—
1605C23—1661no—
1606C23—1661no—
1607C23—1661no—
1608C23—1661no—
1609C23—1661no—
1610C23—1661no—
1611C23—1661no—
1612C23—1661no—
1613C23—1661no—
1614C23—1661no—
1615C23—1661no—
1616C23—1661no—
1617C23—1661no—
1618C23—1661no—
1619C23—1661no—
1620C23—1661no—
1621C23—1661no—
1622C23—1661no—
1623C23—1661no—
1624C23—1661no—
1625C23—1661no—
1626C23—1661no—
1627C23—1661no—
1628C23—1661no—
1629C23—1661no—
1630C23—1661no—
1631C23—1661no—
1632C23—1661no—
1633C23—1661no—
1634C23—1661no—
1635C23—1661no—
1636C23C24×D8311yescharacteristic
1637Q8—82no—
1638Q8—6642no—
1639D4—44no—
1640D4—82no—
1641D4—82no—
1642D4—3324no—
1643D4—3324no—
1644D4—3324no—
1645D4—3324no—
1646D4—3324no—
1647D4—3324no—
1648D4—6642no—
1649D4—6642no—
1650D4—6642no—
1651D4—6642no—
1652D4—6642no—
1653D4—6642no—
1654D4—6642no—
1655D4—6642no—
1656D4—6642no—
1657D4—6642no—
1658D4—6642no—
1659D4—6642no—
1660D4—1668no—
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—3324no—
1693C2×C4—3324no—
1694C2×C4—3324no—
1695C2×C4—3324no—
1696C2×C4—3324no—
1697C2×C4—832no—
1698C2×C4—832no—
1699C2×C4—832no—
1700C2×C4—832no—
1701C2×C4—832no—
1702C2×C4—832no—
1703C2×C4—832no—
1704C2×C4—6642no—
1705C2×C4—6642no—
1706C2×C4—6642no—
1707C2×C4—6642no—
1708C2×C4—1668no—
1709C2×C4—1661no—
1710C2×C4—1661no—
1711C2×C4—1661no—
1712C2×C4—1661no—
1713C2×C4—1661no—
1714C2×C4—1661no—
1715C2×C4—1661no—
1716C2×C4—1661no—
1717C2×C4—1661no—
1718C2×C4—1661no—
1719C2×C4—1661no—
1720C2×C4—1661no—
1721C2×C4—1661no—
1722C2×C4—1661no—
1723C2×C4—1661no—
1724C2×C4—1661no—
1725C2×C4—1661no—
1726C2×C4—1661no—
1727C2×C4—1661no—
1728C2×C4—1661no—
1729C2×C4—1661no—
1730C2×C4—1661no—
1731C2×C4—1661no—
1732C2×C4—1661no—
1733C2×C4—1661no—
1734C2×C4—1661no—
1735C2×C4C2×D4×D8312yes—
1736C2×C4C2×D4×D8312yes—
1737C2×C4C2×D4×D8312yes—
1738C2×C4#41×D8312yes—
1739C2×C4#41×D8312yes—
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—3321no—
1762C22—3321no—
1763C22—3321no—
1764C22—3321no—
1765C22—3321no—
1766C22—3321no—
1767C22—3321no—
1768C22—3321no—
1769C22—3321no—
1770C22—3321no—
1771C22—3321no—
1772C22—3321no—
1773C22—3321no—
1774C22—3321no—
1775C22—3321no—
1776C22—3321no—
1777C22—3321no—
1778C22—3321no—
1779C22—3321no—
1780C22—3321no—
1781C22—3321no—
1782C22—3321no—
1783C22—3321no—
1784C22—3321no—
1785C22—3321no—
1786C22—834no—
1787C22—6648no—
1788C22—6648no—
1789C22—1662no—
1790C22—1662no—
1791C22—1662no—
1792C22—1662no—
1793C22—1662no—
1794C22—1662no—
1795C22—1662no—
1796C22—1662no—
1797C22—1662no—
1798C22C22×D4×D8311yescharacteristic
1799C22C2×#41×D8311yescharacteristic
1800C22C2×#41×D8311yescharacteristic
1801C22H(5,𝔽2)×D8311yescharacteristic
1802C22H(5,𝔽2)×D8311yescharacteristic
1803C22H(5,𝔽2)×D8311yescharacteristic
1804C22#1912853811yescharacteristic
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—3321no—
1818C4—3321no—
1819C4—3321no—
1820C4—3321no—
1821C4—3321no—
1822C4—3321no—
1823C4—834no—
1824C4—1662no—
1825C4—1662no—
1826C4—1662no—
1827C4—1662no—
1828C2—81no—
1829C2—81no—
1830C2—81no—
1831C2—3322no—
1832C2—6641no—
1833C2—6641no—
1834C2—6641no—
1835C2—1664no—
1836C2#532×D8311yescharacteristic
1837C2#538×D8311yescharacteristic
1838C2#2492088311yescharacteristic
1839C2#2492122611yescharacteristic
1840C2#2492123811yescharacteristic
1841C2#2492142211yescharacteristic
1842C2#2492148711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2662C2
hypercenter#2662D83
hypocenterC83#35007
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2662

Complements

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

NH ≅ G/Ntype
1. C2×#19128290C2semidirect
2. C2×#19128285C2semidirect
3. #24915828C2semidirect
4. #24915818C2semidirect
5. #24915807C2semidirect
6. #24915790C2semidirect
7. #24913600C2semidirect
8. #24913595C2semidirect
9. #24913593C2semidirect
10. #24912538C2semidirect
11. #24912533C2semidirect
12. #24912518C2semidirect
13. #24912516C2semidirect
14. #24912042C2semidirect
15. #24911821C2semidirect
16. #24911592C2semidirect
17. #24911584C2semidirect
18. #24911221C2semidirect
19. #24911158C2semidirect
20. #24911095C2semidirect
21. #24911046C2semidirect
22. #24910994C2semidirect
23. #24910992C2semidirect
24. #24910898C2semidirect
25. #24910814C2semidirect
26. #24910122C2semidirect
27. #24910116C2semidirect
28. #24909975C2semidirect
29. #390×D83C2semidirect
30. C4×#14581754C2semidirect
31. C83×#2662C2semidirect
35. C2×#14581790C22semidirect
38. C2×#14581787C22semidirect
39. C2×#14581786C22semidirect
40. C2×#14581785C22semidirect
41. C2×#14581781C22semidirect
42. C2×#14581781C22semidirect
43. C2×#14581780C22semidirect
44. C2×#14581779C22semidirect
45. C2×#14581778C22semidirect
46. C2×#14581777C22semidirect
47. C2×#14581776C22semidirect
48. C2×#14581774C22semidirect
49. C2×#14581774C22semidirect
53. C2×#14581767C22semidirect
54. C2×#14581767C22semidirect
59. C2×#14581765C22semidirect
60. C2×#14581765C22semidirect
61. C2×#14581765C22semidirect
62. C2×#14581764C22semidirect
63. C2×#14581763C22semidirect
75. C2×(C22⋊D83)⋊C4C22semidirect
82. C2×C42×D83C22semidirect
83. #19127635C22semidirect
84. #19127634C22semidirect
85. #19127630C22semidirect
86. #19127629C22semidirect
87. #19127623C22semidirect
88. #19127623C22semidirect
89. #19127622C22semidirect
90. #19127619C22semidirect
91. #19127619C22semidirect
93. #19127618C22semidirect
94. #19127618C22semidirect
95. #19127617C22semidirect
96. #19127617C22semidirect
97. #19127616C22semidirect
98. #19127616C22semidirect
99. #19127614C22semidirect
103. #19127610C22semidirect
104. #19127610C22semidirect
109. #19127603C22semidirect
119. #19127601C22semidirect
120. #19127601C22semidirect
121. #19127601C22semidirect
122. #19127601C22semidirect
123. #19127601C22semidirect
124. #19127601C22semidirect
125. #19127601C22semidirect
126. #19127601C22semidirect
127. #19127598C22semidirect
128. #19127596C22semidirect
129. #19127596C22semidirect
130. #19127596C22semidirect
131. #19127595C22semidirect
132. #19127595C22semidirect
133. #19127595C22semidirect
134. #19127595C22semidirect
135. #19127594C22semidirect
136. #19127593C22semidirect
137. #19127592C22semidirect
138. #19127592C22semidirect
139. #19127591C22semidirect
140. #19127591C22semidirect
141. #19127591C22semidirect
142. #19127591C22semidirect
143. #19127590C22semidirect
144. #19127589C22semidirect
145. #19127581C22semidirect
148. #19127579C22semidirect
149. #19127579C22semidirect
150. #19127578C22semidirect
153. #19127577C22semidirect
154. #19127577C22semidirect
157. #19127570C22semidirect
159. #19127560C22semidirect
162. C4⋊C4×Dic83C22semidirect
163. C4⋊C4×Dic83C22semidirect
164. #19127552C22semidirect
165. C22⋊C4×Dic83C22semidirect
167. C4×(C2×D83)⋊C4C22semidirect
170. #19127548C22semidirect
171. #19127548C22semidirect
172. #19127548C22semidirect
173. C42×Dic83C22semidirect
174. C2×#126×C83C22semidirect
175. C2×#124×C83C22semidirect
176. #396×C83C22semidirect
177. #396×C83C22semidirect
178. #395×C83C22semidirect
180. #394×C83C22semidirect
181. #394×C83C22semidirect
182. #393×C83C22semidirect
185. #390×C83C22semidirect
186. #388×C83C22semidirect
187. #388×C83C22semidirect
188. C4×C4⋊C4×C83C22semidirect
259. C4×D332D4semidirect
516. C2×C4×D83C2×D4semidirect
521. C4⋊Dic83C2×D4semidirect
578. (C2×D83)⋊C4C2×D4semidirect
643. C42×C83C2×D4semidirect
905. Dic83#538semidirect
929. #2662D83semidirect
953. C83#35007semidirect
963. C2×#126C2×D83semidirect
969. C2×#124C2×D83semidirect
1013. #396C2×D83semidirect
1014. #396C2×D83semidirect
1016. #395C2×D83semidirect
1027. #394C2×D83semidirect
1028. #394C2×D83semidirect
1030. #393C2×D83semidirect
1060. #390C2×D83semidirect
1079. #388C2×D83semidirect
1080. #388C2×D83semidirect
1101. C4×C4⋊C4C2×D83semidirect
1565. C42D4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282902
C2×#191282852
#249158282
#249158182
#249158072
#249157902
#249136002
#249135952
#249135932
#249125382
#249125332
#249125182
#249125162
#249120422
#249118212
#249115922
#249115842
#249112212
#249111582
#249110952
#249110462
#249109942
#249109922
#249108982
#249108142
#249101222
#249101162
#249099752
#390×D832
C4×#145817542
C83×#26622
#3500783