Finite Group Databasebeta

← #35577349

Subgroups — #35577349

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×#19128285C211yesmaximal, characteristic, complemented
2C2×#19128283C211yesmaximal, characteristic, complemented
3#24915829C211yesmaximal, characteristic, complemented
4#24915818C211yesmaximal, characteristic, complemented
5#24915806C211yesmaximal, characteristic, complemented
6#24915791C211yesmaximal, characteristic, complemented
7#24913607C211yesmaximal, characteristic, complemented
8#24913605C211yesmaximal, characteristic, complemented
9#24913590C211yesmaximal, characteristic, complemented
10#24913588C211yesmaximal, characteristic, complemented
11#24912532C211yesmaximal, characteristic, complemented
12#24912525C211yesmaximal, characteristic, complemented
13#24912523C211yesmaximal, characteristic, complemented
14#24912046C211yesmaximal, characteristic, complemented
15#24911823C211yesmaximal, characteristic, complemented
16#24911593C211yesmaximal, characteristic, complemented
17#24911585C211yesmaximal, characteristic, complemented
18#24911225C211yesmaximal, characteristic, complemented
19#24911158C211yesmaximal, characteristic, complemented
20#24911095C211yesmaximal, characteristic, complemented
21#24911048C211yesmaximal, characteristic, complemented
22#24910998C211yesmaximal, characteristic, complemented
23#24910996C211yesmaximal, characteristic, complemented
24#24910896C211yesmaximal, characteristic, complemented
25#24910812C211yesmaximal, characteristic, complemented
26#24910125C211yesmaximal, characteristic, complemented
27#24910119C211yesmaximal, characteristic, complemented
28C4×#14581765C211yesmaximal, characteristic, complemented
29#390×D83C211yesmaximal, characteristic, complemented
30C4×(C22⋊D83)⋊C4C211yesmaximal, characteristic, complemented
31C83×#2555C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33#19128285—28no—
34#19128283—28no—
35C2×#14581790C2211yescharacteristic, complemented
36C2×#14581788C2211yescharacteristic
37C2×#14581788C2211yescharacteristic
38C2×#14581787C2211yescharacteristic, complemented
39C2×#14581786C2211yescharacteristic, complemented
40C2×#14581785C2211yescharacteristic, complemented
41C2×#14581785C2211yescharacteristic, complemented
42C2×#14581781C2211yescharacteristic, complemented
43C2×#14581780C2211yescharacteristic, complemented
44C2×#14581779C2211yescharacteristic, complemented
45C2×#14581778C2211yescharacteristic, complemented
46C2×#14581776C2211yescharacteristic, complemented
47C2×#14581775C2211yescharacteristic, complemented
48C2×#14581774C2211yescharacteristic, complemented
49C2×#14581773C2211yescharacteristic, complemented
50C2×#14581770C2211yescharacteristic
51C2×#14581768C2211yescharacteristic
52C2×#14581766C2211yescharacteristic, complemented
53C2×#14581765C2211yescharacteristic
54C2×#14581765C2211yescharacteristic
55C2×#14581765C2211yescharacteristic, complemented
56C2×#14581764C2211yescharacteristic
57C2×#14581764C2211yescharacteristic
58C2×#14581764C2211yescharacteristic, complemented
59C2×#14581764C2211yescharacteristic, complemented
60C2×#14581764C2211yescharacteristic, complemented
61C2×#14581763C2211yescharacteristic
62C2×#14581762C2211yescharacteristic
63C2×#14581762C2211yescharacteristic
64C2×#14581760C2211yescharacteristic
65C2×#14581760C2211yescharacteristic
66C2×#14581760C2211yescharacteristic
67C2×#14581760C2211yescharacteristic
68C2×C4×D332C2211yescharacteristic
69C2×C4×C22⋊D83C2211yescharacteristic
70C2×C4×C22⋊D83C2211yescharacteristic
71C2×C4×C22⋊D83C2211yescharacteristic, complemented
72C2×(C22⋊D83)⋊C4C2211yescharacteristic
73C2×(C22⋊D83)⋊C4C2211yescharacteristic
74C2×C4⋊C4×D83C2211yescharacteristic
75C2×C22⋊C4×D83C2211yescharacteristic
76C2×C22⋊C4×D83C2211yescharacteristic
77C2×C22⋊C4×D83C2211yescharacteristic
78C2×C22⋊C4×D83C2211yescharacteristic
79C22×C4×Dic83C2211yescharacteristic, complemented
80C2×C42×D83C2211yescharacteristic
81#19127635C2211yescharacteristic, complemented
82#19127634C2211yescharacteristic, complemented
83#19127630C2211yescharacteristic, complemented
84#19127629C2211yescharacteristic, complemented
85#19127624C2211yescharacteristic, complemented
86#19127624C2211yescharacteristic, complemented
87#19127623C2211yescharacteristic, complemented
88#19127623C2211yescharacteristic, complemented
89#19127622C2211yescharacteristic, complemented
90#19127619C2211yescharacteristic
91#19127619C2211yescharacteristic, complemented
92#19127618C2211yescharacteristic, complemented
93#19127617C2211yescharacteristic, complemented
94#19127617C2211yescharacteristic, complemented
95#19127616C2211yescharacteristic, complemented
96#19127616C2211yescharacteristic, complemented
97#19127615C2211yescharacteristic
98#19127615C2211yescharacteristic, complemented
99#19127615C2211yescharacteristic, complemented
100#19127615C2211yescharacteristic, complemented
101#19127613C2211yescharacteristic, complemented
102#19127612C2211yescharacteristic, complemented
103#19127611C2211yescharacteristic
104#19127610C2211yescharacteristic
105#19127610C2211yescharacteristic
106#19127609C2211yescharacteristic
107#19127609C2211yescharacteristic, complemented
108#19127609C2211yescharacteristic, complemented
109#19127604C2211yescharacteristic
110#19127604C2211yescharacteristic, complemented
111#19127603C2211yescharacteristic
112#19127602C2211yescharacteristic
113#19127602C2211yescharacteristic, complemented
114#19127601C2211yescharacteristic
115#19127601C2211yescharacteristic
116#19127601C2211yescharacteristic
117#19127601C2211yescharacteristic
118#19127601C2211yescharacteristic
119#19127601C2211yescharacteristic
120#19127601C2211yescharacteristic
121#19127601C2211yescharacteristic
122#19127601C2211yescharacteristic, complemented
123#19127601C2211yescharacteristic, complemented
124#19127601C2211yescharacteristic, complemented
125#19127601C2211yescharacteristic, complemented
126#19127601C2211yescharacteristic, complemented
127#19127601C2211yescharacteristic, complemented
128#19127601C2211yescharacteristic, complemented
129#19127601C2211yescharacteristic, complemented
130#19127598C2211yescharacteristic, complemented
131#19127598C2211yescharacteristic, complemented
132#19127598C2211yescharacteristic, complemented
133#19127596C2211yescharacteristic, complemented
134#19127594C2211yescharacteristic, complemented
135#19127594C2211yescharacteristic, complemented
136#19127594C2211yescharacteristic, complemented
137#19127594C2211yescharacteristic, complemented
138#19127593C2211yescharacteristic, complemented
139#19127593C2211yescharacteristic, complemented
140#19127592C2211yescharacteristic, complemented
141#19127592C2211yescharacteristic, complemented
142#19127590C2211yescharacteristic, complemented
143#19127590C2211yescharacteristic, complemented
144#19127590C2211yescharacteristic, complemented
145#19127590C2211yescharacteristic, complemented
146#19127589C2211yescharacteristic, complemented
147#19127589C2211yescharacteristic, complemented
148#19127580C2211yescharacteristic, complemented
149#19127580C2211yescharacteristic, complemented
150#19127579C2211yescharacteristic
151#19127579C2211yescharacteristic
152#19127579C2211yescharacteristic, complemented
153#19127577C2211yescharacteristic
154#19127577C2211yescharacteristic
155#19127577C2211yescharacteristic, complemented
156#19127575C2211yescharacteristic
157#19127572C2211yescharacteristic
158#19127570C2211yescharacteristic, complemented
159#19127560C2211yescharacteristic
160#19127559C2211yescharacteristic, complemented
161#19127556C2211yescharacteristic
162#19127556C2211yescharacteristic
163C4×Dic83⋊C4C2211yescharacteristic, complemented
164C4×Dic83⋊C4C2211yescharacteristic, complemented
165#19127552C2211yescharacteristic, complemented
166#19127552C2211yescharacteristic, complemented
167C22⋊C4×Dic83C2211yescharacteristic, complemented
168C22⋊C4×Dic83C2211yescharacteristic, complemented
169C4×(C2×D83)⋊C4C2211yescharacteristic
170C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
171#19127548C2211yescharacteristic
172#19127548C2211yescharacteristic
173C42×Dic83C2211yescharacteristic, complemented
174C2×#124×C83C2211yescharacteristic, complemented
175C2×#124×C83C2211yescharacteristic, complemented
176C2×#121×C83C2211yescharacteristic, complemented
177C2×#121×C83C2211yescharacteristic, complemented
178#395×C83C2211yescharacteristic, complemented
179#394×C83C2211yescharacteristic, complemented
180#392×C83C2211yescharacteristic
181#392×C83C2211yescharacteristic
182#390×C83C2211yescharacteristic
183#388×C83C2211yescharacteristic, complemented
184#388×C83C2211yescharacteristic, complemented
185#386×C83C2211yescharacteristic, complemented
186#386×C83C2211yescharacteristic, complemented
187C4×C22⋊C4×C83C2211yescharacteristic, complemented
188C4×C22⋊C4×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C24×D83C2311yescharacteristic
191C22×Dic166C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C22⋊D83C2311yescharacteristic
206C22×C22⋊D83C2311yescharacteristic
207C22×C22⋊D83C2311yescharacteristic
208C2×D4×D83—24no—
209C2×D4×D83—42no—
210C2×D4×D83—42no—
211C23×Dic83C2311yescharacteristic
212C23×Dic83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219#14581790—42no—
220#14581788—42no—
221#14581788—42no—
222#14581787—24no—
223#14581786—24no—
224#14581785—24no—
225#14581785—24no—
226#14581781—24no—
227#14581780—42no—
228#14581779—24no—
229#14581778—24no—
230#14581776—24no—
231#14581775—24no—
232#14581774—24no—
233#14581773—24no—
234#14581770—24no—
235#14581768—24no—
236#14581766—42no—
237#14581765—24no—
238#14581765—24no—
239#14581765—24no—
240#14581764—24no—
241#14581764—24no—
242#14581764—42no—
243#14581764—42no—
244#14581764—42no—
245#14581763—24no—
246#14581762—24no—
247#14581762—24no—
248#14581760—24no—
249#14581760—24no—
250#14581760—24no—
251#14581760—24no—
252C4×D332—24no—
253C4×C22⋊D83—24no—
254C4×C22⋊D83—24no—
255C4×C22⋊D83—42no—
256(C22⋊D83)⋊C4—24no—
257(C22⋊D83)⋊C4D418yescomplemented
258C2×C4⋊Dic83C2311yescharacteristic
259C2×C4⋊Dic83C2311yescharacteristic
260C2×C4⋊Dic83C2311yescharacteristic
261C2×C4⋊Dic83C2311yescharacteristic
262C2×C4⋊Dic83C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×Dic83⋊C4C2311yescharacteristic
265C2×Dic83⋊C4C2311yescharacteristic
266C2×Dic83⋊C4C2311yescharacteristic
267C2×Dic83⋊C4C2311yescharacteristic
268C2×Dic83⋊C4C2311yescharacteristic
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
279C4⋊C4×D83—42no—
280C2×C22⋊Dic83C2311yescharacteristic
281C2×C22⋊Dic83C2311yescharacteristic
282C2×C22⋊Dic83C2311yescharacteristic
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×C22⋊Dic83C2311yescharacteristic
294C2×C22⋊Dic83C2311yescharacteristic
295C2×C22⋊Dic83C2311yescharacteristic
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
326C22⋊C4×D83—24no—
327C22⋊C4×D83—24no—
328C22⋊C4×D83—42no—
329C22⋊C4×D83—42no—
330C2×C4×Dic83—42no—
331C2×C4×Dic83C2311yescharacteristic
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
343C42×D83—42no—
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C83⋊#95C2311yescharacteristic
347C83⋊#95C2311yescharacteristic
348C83⋊#95C2311yescharacteristic
349C83⋊#95C2311yescharacteristic
350C83⋊#95C2311yescharacteristic
351C83⋊#95C2311yescharacteristic
352C83⋊#95C2311yescharacteristic
353C83⋊#95C2311yescharacteristic
354C83⋊#95C2311yescharacteristic
355C83⋊#95C2311yescharacteristic
356C83⋊#95C2311yescharacteristic
357C83⋊#95C2311yescharacteristic
358C22×Q8×C83C2311yescharacteristic
359C22×D4×C83C2311yescharacteristic
360C22×D4×C83C2311yescharacteristic
361C22×D4×C83C2311yescharacteristic
362C22×D4×C83C2311yescharacteristic
363C22×D4×C83C2311yescharacteristic
364C22×D4×C83C2311yescharacteristic
365C23×C4×C83C2311yescharacteristic
366C23×C4×C83C2311yescharacteristic
367#124×C83—24no—
368#124×C83—42no—
369#121×C83—24no—
370#121×C83—42no—
371C2×C4⋊C4×C83C2311yescharacteristic
372C2×C4⋊C4×C83C2311yescharacteristic
373C2×C4⋊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
415C2×Dic166—22no—
416C2×Dic166—41no—
417C2×Dic166—41no—
418C2×D332—22no—
419C2×D332—22no—
420C2×D332—22no—
421C2×D332—22no—
422C2×D332—22no—
423C2×D332—22no—
424C2×D332—41no—
425C2×D332—41no—
426C2×D332—41no—
427C2×D332—41no—
428C2×D332—41no—
429C2×D332—41no—
430C2×C22⋊D83—22no—
431C2×C22⋊D83—22no—
432C2×C22⋊D83—22no—
433C2×C22⋊D83—22no—
434C2×C22⋊D83—22no—
435C2×C22⋊D83—22no—
436C2×C22⋊D83—22no—
437C2×C22⋊D83—22no—
438C2×C22⋊D83—22no—
439C2×C22⋊D83—22no—
440C2×C22⋊D83—22no—
441C2×C22⋊D83—22no—
442C2×C22⋊D83—22no—
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—41no—
452C2×C22⋊D83—41no—
453C2×C22⋊D83—41no—
454C2×C22⋊D83—41no—
455C2×C22⋊D83—41no—
456C2×C22⋊D83—41no—
457C2×C22⋊D83—41no—
458C2×C22⋊D83—41no—
459C2×C22⋊D83—41no—
460C2×C22⋊D83—41no—
461C2×C22⋊D83—41no—
462C2×C22⋊D83—41no—
463C2×C22⋊D83—41no—
464C2×C22⋊D83—41no—
465C2×C22⋊D83C2×D414yes—
466D4×D83—416no—
467C22×Dic83—22no—
468C22×Dic83—22no—
469C22×Dic83—22no—
470C22×Dic83—41no—
471C22×Dic83—41no—
472C22×Dic83C2×D414yescomplemented
473C22×Dic83C2411yescharacteristic
474C22×Dic83C2411yescharacteristic
475C22×Dic83C2411yescharacteristic
476C22×Dic83C2411yescharacteristic
477C22×Dic83C2411yescharacteristic
478C22×Dic83C2411yescharacteristic
479C22×Dic83C2411yescharacteristic
480C22×Dic83C2411yescharacteristic
481C22×Dic83C2411yescharacteristic
482C22×Dic83C2411yescharacteristic
483C22×Dic83C2411yescharacteristic
484C22×Dic83C2411yescharacteristic
485C2×C4×D83—22no—
486C2×C4×D83—22no—
487C2×C4×D83—22no—
488C2×C4×D83—22no—
489C2×C4×D83—22no—
490C2×C4×D83—22no—
491C2×C4×D83—22no—
492C2×C4×D83—41no—
493C2×C4×D83—41no—
494C2×C4×D83—41no—
495C2×C4×D83—41no—
496C2×C4×D83—41no—
497C2×C4×D83—41no—
498C2×C4×D83—41no—
499C2×C4×D83—41no—
500C2×C4×D83—41no—
501C2×C4×D83C2×D414yes—
502C2×C4×D83#4114yes—
503C4⋊Dic83—22no—
504C4⋊Dic83—22no—
505C4⋊Dic83—22no—
506C4⋊Dic83—41no—
507C4⋊Dic83—41no—
508Dic83⋊C4—22no—
509Dic83⋊C4—22no—
510Dic83⋊C4—22no—
511Dic83⋊C4—22no—
512Dic83⋊C4—22no—
513Dic83⋊C4—22no—
514Dic83⋊C4—22no—
515Dic83⋊C4—22no—
516Dic83⋊C4—22no—
517Dic83⋊C4—22no—
518Dic83⋊C4—22no—
519Dic83⋊C4—22no—
520Dic83⋊C4—22no—
521Dic83⋊C4—41no—
522Dic83⋊C4—41no—
523Dic83⋊C4C2×D414yescomplemented
524C22⋊Dic83—22no—
525C22⋊Dic83—22no—
526C22⋊Dic83—22no—
527C22⋊Dic83—22no—
528C22⋊Dic83—22no—
529C22⋊Dic83—22no—
530C22⋊Dic83—22no—
531C22⋊Dic83—22no—
532C22⋊Dic83—22no—
533C22⋊Dic83—22no—
534C22⋊Dic83—41no—
535C22⋊Dic83—41no—
536C22⋊Dic83—41no—
537C22⋊Dic83—41no—
538C22⋊Dic83—41no—
539C22⋊Dic83—41no—
540(C2×D83)⋊C4—22no—
541(C2×D83)⋊C4—22no—
542(C2×D83)⋊C4—22no—
543(C2×D83)⋊C4—22no—
544(C2×D83)⋊C4—22no—
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—41no—
560(C2×D83)⋊C4—41no—
561(C2×D83)⋊C4—41no—
562(C2×D83)⋊C4—41no—
563(C2×D83)⋊C4—41no—
564(C2×D83)⋊C4—41no—
565(C2×D83)⋊C4—41no—
566(C2×D83)⋊C4—41no—
567(C2×D83)⋊C4—41no—
568(C2×D83)⋊C4C2×D414yes—
569(C2×D83)⋊C4#4114yes—
570C4×Dic83—22no—
571C4×Dic83—22no—
572C4×Dic83—22no—
573C4×Dic83—22no—
574C4×Dic83—22no—
575C4×Dic83—22no—
576C4×Dic83—22no—
577C4×Dic83—41no—
578C4×Dic83—41no—
579C4×Dic83—41no—
580C4×Dic83—41no—
581C4×Dic83C2×D414yescomplemented
582C24×C83C2411yescharacteristic
583C24×C83C2411yescharacteristic
584C24×C83C2411yescharacteristic
585C24×C83C2411yescharacteristic
586C2×Q8×C83—22no—
587C2×Q8×C83—41no—
588C2×Q8×C83—41no—
589C2×D4×C83—22no—
590C2×D4×C83—22no—
591C2×D4×C83—22no—
592C2×D4×C83—22no—
593C2×D4×C83—22no—
594C2×D4×C83—22no—
595C2×D4×C83—41no—
596C2×D4×C83—41no—
597C2×D4×C83—41no—
598C2×D4×C83—41no—
599C2×D4×C83—41no—
600C2×D4×C83—41no—
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×C83—22no—
608C22×C4×C83—22no—
609C22×C4×C83—22no—
610C22×C4×C83—41no—
611C22×C4×C83—41no—
612C22×C4×C83—41no—
613C22×C4×C83C2411yescharacteristic
614C22×C4×C83C2411yescharacteristic
615C22×C4×C83C2411yescharacteristic
616C22×C4×C83C2411yescharacteristic
617C22×C4×C83C2411yescharacteristic
618C22×C4×C83C2411yescharacteristic
619C22×C4×C83C2411yescharacteristic
620C22×C4×C83C2411yescharacteristic
621C22×C4×C83C2411yescharacteristic
622C22×C4×C83C2411yescharacteristic
623C22×C4×C83C2411yescharacteristic
624C4⋊C4×C83—22no—
625C4⋊C4×C83—41no—
626C4⋊C4×C83—41no—
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—22no—
636C22⋊C4×C83—22no—
637C22⋊C4×C83—41no—
638C22⋊C4×C83—41no—
639C22⋊C4×C83—41no—
640C22⋊C4×C83C2×D414yescomplemented
641C42×C83—22no—
642C42×C83—22no—
643C42×C83—41no—
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×C83—21no—
666C23×C83—21no—
667C23×C83—21no—
668C23×C83—21no—
669C23×C83—21no—
670C23×C83—21no—
671C23×C83C22×D412yes—
672C23×C83C2511yescharacteristic
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—21no—
698C22×D83—44no—
699C22×D83—44no—
700C22×D83—44no—
701C22×D83—44no—
702C22×D83—44no—
703C22×D83—44no—
704C22×D83—82no—
705C22×D83—82no—
706C22×D83—82no—
707C22×D83—82no—
708C22×D83—82no—
709C22×D83—82no—
710C22×D83—82no—
711C22×D83—82no—
712C22×D83C22×D412yes—
713C22×D83C2×#4112yes—
714C22×D83C2×#4112yes—
715Q8×C83—82no—
716D4×C83—44no—
717D4×C83—82no—
718D4×C83—82no—
719D4×C83—82no—
720D4×C83—82no—
721D4×C83—82no—
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×C83—44no—
751C2×C4×C83—82no—
752C2×C4×C83C22×D412yes—
753C2×C4×C83C22×D412yes—
754C2×C4×C83C2×#4112yes—
755C2×C4×C83C2×#4112yes—
756C2×C4×C83H(5,𝔽2)12yes—
757C22⋊D83—28no—
758C22⋊D83—44no—
759C22⋊D83—44no—
760C22⋊D83—44no—
761C22⋊D83—44no—
762C22⋊D83—82no—
763C22⋊D83—82no—
764C22⋊D83—82no—
765C22⋊D83—82no—
766C22⋊D83—82no—
767C22⋊D83—82no—
768C22⋊D83—82no—
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—21no—
793C2×Dic83—21no—
794C2×Dic83—21no—
795C2×Dic83—21no—
796C2×Dic83—21no—
797C2×Dic83—21no—
798C2×Dic83—44no—
799C2×Dic83—44no—
800C2×Dic83C22×D412yes—
801C2×Dic83C22×D412yes—
802C2×Dic83C22×D412yes—
803C2×Dic83C2×#4112yes—
804C2×Dic83C2×#4112yes—
805C2×Dic83H(5,𝔽2)12yes—
806C2×Dic83H(5,𝔽2)12yes—
807D332—44no—
808D332—44no—
809D332—82no—
810D332—82no—
811C4×D83—28no—
812C4×D83—44no—
813C4×D83—44no—
814C4×D83—82no—
815C4×D83—82no—
816C4×D83—82no—
817Dic166—82no—
818C22×C83—22no—
819C22×C83—22no—
820C22×C83—22no—
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×C83—41no—
840C22×C83—41no—
841C22×C83—41no—
842C22×C83—41no—
843C22×C83—41no—
844C22×C83—41no—
845C22×C83—41no—
846C22×C83C23×D411yescharacteristic
847C22×C83C22×#4111yescharacteristic
848C22×C83C22×#4111yescharacteristic
849C22×C83C2×H(5,𝔽2)11yescharacteristic
850C22×C83C2×H(5,𝔽2)11yescharacteristic
851C22×C83C2×H(5,𝔽2)11yescharacteristic
852C22×C83#58511yescharacteristic
853C2×D83—22no—
854C2×D83—22no—
855C2×D83—22no—
856C2×D83—22no—
857C2×D83—22no—
858C2×D83—22no—
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—
894Dic83—22no—
895Dic83—22no—
896Dic83—22no—
897Dic83—22no—
898Dic83—41no—
899Dic83—41no—
900Dic83—41no—
901Dic83—41no—
902Dic83—41no—
903Dic83—41no—
904Dic83—41no—
905Dic83#53814yescomplemented
906#35007—831nomaximal, Sylow
907C2×C83—42no—
908C2×C83—81no—
909C2×C83—81no—
910C2×C83—81no—
911C2×C83C2×#53211yescharacteristic
912C2×C83C2×#53811yescharacteristic
913C2×C83#346011yescharacteristic
914C2×C83#349611yescharacteristic
915C2×C83#349811yescharacteristic
916C2×C83#351411yescharacteristic
917C2×C83#351911yescharacteristic
918D83—24no—
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#2662—831no—
930#2661—831no—
931#2661—831no—
932#2555—831no—
933#2555D8311yescharacteristic, complemented
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×#126—831no—
964C2×#124—831no—
965C2×#124—831no—
966C2×#124—831no—
967C2×#124—831no—
968C2×#124C2×D8311yescharacteristic, complemented
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×#121C2×D8311yescharacteristic, complemented
987C2×#121C2×D8311yescharacteristic, complemented
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#396—831no—
1014#396—831no—
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#394—831no—
1027#394—831no—
1028#394C2×D8311yescharacteristic, complemented
1029#393—831no—
1030#393—831no—
1031#392—831no—
1032#392—831no—
1033#392—831no—
1034#392—831no—
1035#392—831no—
1036#392—831no—
1037#392C2×D8311yescharacteristic
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#390—831no—
1060#390C2×D8311yescharacteristic
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#386C2×D8311yescharacteristic, complemented
1090#386C2×D8311yescharacteristic, complemented
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⋊C4—831no—
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⋊C4C2×D8311yescharacteristic, complemented
1109C4×C22⋊C4C2×D8311yescharacteristic, complemented
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—1664no—
1134C22×D4C22×D8311yescharacteristic
1135C22×D4C22×D8311yescharacteristic
1136C22×D4C22×D8311yescharacteristic
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×C4C22×D8311yescharacteristic
1149C23×C4C22×D8311yescharacteristic
1150C4⋊Q8—3322no—
1151#127—3322no—
1152#127—3322no—
1153#126—1664no—
1154#126—1664no—
1155#126—1664no—
1156#126—1664no—
1157#124—24no—
1158#124—42no—
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—24no—
1170#121—42no—
1171#121—3322no—
1172#121—3322no—
1173#121—3322no—
1174#121—3322no—
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⋊C4—831no—
1212C2×C4⋊C4—831no—
1213C2×C4⋊C4—831no—
1214C2×C4⋊C4—831no—
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—831no—
1266C2×C22⋊C4—1664no—
1267C2×C22⋊C4—1664no—
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—1662no—
1332C24—1662no—
1333C24—1662no—
1334C24—1662no—
1335C24—1662no—
1336C24—1662no—
1337C24C23×D8311yescharacteristic
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—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—3321no—
1366C2×D4—3321no—
1367C2×D4—3321no—
1368C2×D4—3321no—
1369C2×D4—3321no—
1370C2×D4—3321no—
1371C2×D4—33216no—
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—3321no—
1384C2×D4—3321no—
1385C2×D4—3321no—
1386C2×D4—834no—
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—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
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—3321no—
1429C22×C4—3321no—
1430C22×C4—3321no—
1431C22×C4—834no—
1432C22×C4—834no—
1433C22×C4—831no—
1434C22×C4—831no—
1435C22×C4—831no—
1436C22×C4—831no—
1437C22×C4—831no—
1438C22×C4—834no—
1439C22×C4—831no—
1440C22×C4—831no—
1441C22×C4—831no—
1442C22×C4—831no—
1443C22×C4—831no—
1444C22×C4—831no—
1445C22×C4—831no—
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×C4—1662no—
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—41no—
1469C4⋊C4—41no—
1470C4⋊C4—3321no—
1471C4⋊C4—3321no—
1472C4⋊C4—3321no—
1473C4⋊C4—3321no—
1474C4⋊C4—834no—
1475C4⋊C4—1662no—
1476C4⋊C4—1662no—
1477C4⋊C4—1662no—
1478C4⋊C4—1662no—
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—22no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—3321no—
1505C22⋊C4—3321no—
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—3321no—
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⋊C4D4×D8314yescomplemented
1551C42—22no—
1552C42—22no—
1553C42—41no—
1554C42—3321no—
1555C42—3321no—
1556C42—3321no—
1557C42—3321no—
1558C42—834no—
1559C42—1662no—
1560C42—1662no—
1561C42—1662no—
1562C42—1662no—
1563C42—1662no—
1564C42—1662no—
1565C42—1662no—
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—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—3324no—
1594C23—3324no—
1595C23—3324no—
1596C23—3324no—
1597C23—3324no—
1598C23—3324no—
1599C23—832no—
1600C23—832no—
1601C23—832no—
1602C23—6642no—
1603C23—6642no—
1604C23—6642no—
1605C23—6642no—
1606C23—6642no—
1607C23—6642no—
1608C23—6642no—
1609C23—6642no—
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—
1635C23C2×D4×D8312yes—
1636C23C24×D8311yescharacteristic
1637Q8—82no—
1638Q8—6642no—
1639D4—44no—
1640D4—82no—
1641D4—82no—
1642D4—82no—
1643D4—82no—
1644D4—82no—
1645D4—3324no—
1646D4—3324no—
1647D4—3324no—
1648D4—3324no—
1649D4—3324no—
1650D4—3324no—
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—44no—
1690C2×C4—82no—
1691C2×C4—3324no—
1692C2×C4—3324no—
1693C2×C4—3324no—
1694C2×C4—3324no—
1695C2×C4—832no—
1696C2×C4—832no—
1697C2×C4—832no—
1698C2×C4—832no—
1699C2×C4—832no—
1700C2×C4—832no—
1701C2×C4—832no—
1702C2×C4—6642no—
1703C2×C4—6642no—
1704C2×C4—6642no—
1705C2×C4—1668no—
1706C2×C4—1661no—
1707C2×C4—1661no—
1708C2×C4—1661no—
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×C4#41×D8312yes—
1738C2×C4#41×D8312yes—
1739C2×C4#1458183712yes—
1740C22—22no—
1741C22—22no—
1742C22—22no—
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—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
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—3321no—
1787C22—3321no—
1788C22—3321no—
1789C22—834no—
1790C22—6648no—
1791C22—6648no—
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
1803C22C2×#1458183711yescharacteristic
1804C22#1912853711yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—3321no—
1817C4—3321no—
1818C4—3321no—
1819C4—3321no—
1820C4—3321no—
1821C4—3321no—
1822C4—3321no—
1823C4—834no—
1824C4—1662no—
1825C4—1662no—
1826C4—1662no—
1827C4—1662no—
1828C2—42no—
1829C2—81no—
1830C2—81no—
1831C2—81no—
1832C2—6641no—
1833C2—6641no—
1834C2—6641no—
1835C2—1664no—
1836C2#532×D8311yescharacteristic
1837C2#538×D8311yescharacteristic
1838C2#2492087711yescharacteristic
1839C2#2492122311yescharacteristic
1840C2#2492123511yescharacteristic
1841C2#2492142011yescharacteristic
1842C2#2492148411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2555C2
hypercenter#2555D83
hypocenterC83#35007
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2555

Complements

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

NH ≅ G/Ntype
1. C2×#19128285C2semidirect
2. C2×#19128283C2semidirect
3. #24915829C2semidirect
4. #24915818C2semidirect
5. #24915806C2semidirect
6. #24915791C2semidirect
7. #24913607C2semidirect
8. #24913605C2semidirect
9. #24913590C2semidirect
10. #24913588C2semidirect
11. #24912532C2semidirect
12. #24912525C2semidirect
13. #24912523C2semidirect
14. #24912046C2semidirect
15. #24911823C2semidirect
16. #24911593C2semidirect
17. #24911585C2semidirect
18. #24911225C2semidirect
19. #24911158C2semidirect
20. #24911095C2semidirect
21. #24911048C2semidirect
22. #24910998C2semidirect
23. #24910996C2semidirect
24. #24910896C2semidirect
25. #24910812C2semidirect
26. #24910125C2semidirect
27. #24910119C2semidirect
28. C4×#14581765C2semidirect
29. #390×D83C2semidirect
30. C4×(C22⋊D83)⋊C4C2semidirect
31. C83×#2555C2semidirect
35. C2×#14581790C22semidirect
38. C2×#14581787C22semidirect
39. C2×#14581786C22semidirect
40. C2×#14581785C22semidirect
41. C2×#14581785C22semidirect
42. C2×#14581781C22semidirect
43. C2×#14581780C22semidirect
44. C2×#14581779C22semidirect
45. C2×#14581778C22semidirect
46. C2×#14581776C22semidirect
47. C2×#14581775C22semidirect
48. C2×#14581774C22semidirect
49. C2×#14581773C22semidirect
52. C2×#14581766C22semidirect
55. C2×#14581765C22semidirect
58. C2×#14581764C22semidirect
59. C2×#14581764C22semidirect
60. C2×#14581764C22semidirect
71. C2×C4×C22⋊D83C22semidirect
79. C22×C4×Dic83C22semidirect
81. #19127635C22semidirect
82. #19127634C22semidirect
83. #19127630C22semidirect
84. #19127629C22semidirect
85. #19127624C22semidirect
86. #19127624C22semidirect
87. #19127623C22semidirect
88. #19127623C22semidirect
89. #19127622C22semidirect
91. #19127619C22semidirect
92. #19127618C22semidirect
93. #19127617C22semidirect
94. #19127617C22semidirect
95. #19127616C22semidirect
96. #19127616C22semidirect
98. #19127615C22semidirect
99. #19127615C22semidirect
100. #19127615C22semidirect
101. #19127613C22semidirect
102. #19127612C22semidirect
107. #19127609C22semidirect
108. #19127609C22semidirect
110. #19127604C22semidirect
113. #19127602C22semidirect
122. #19127601C22semidirect
123. #19127601C22semidirect
124. #19127601C22semidirect
125. #19127601C22semidirect
126. #19127601C22semidirect
127. #19127601C22semidirect
128. #19127601C22semidirect
129. #19127601C22semidirect
130. #19127598C22semidirect
131. #19127598C22semidirect
132. #19127598C22semidirect
133. #19127596C22semidirect
134. #19127594C22semidirect
135. #19127594C22semidirect
136. #19127594C22semidirect
137. #19127594C22semidirect
138. #19127593C22semidirect
139. #19127593C22semidirect
140. #19127592C22semidirect
141. #19127592C22semidirect
142. #19127590C22semidirect
143. #19127590C22semidirect
144. #19127590C22semidirect
145. #19127590C22semidirect
146. #19127589C22semidirect
147. #19127589C22semidirect
148. #19127580C22semidirect
149. #19127580C22semidirect
152. #19127579C22semidirect
155. #19127577C22semidirect
158. #19127570C22semidirect
160. #19127559C22semidirect
163. C4×Dic83⋊C4C22semidirect
164. C4×Dic83⋊C4C22semidirect
165. #19127552C22semidirect
166. #19127552C22semidirect
167. C22⋊C4×Dic83C22semidirect
168. C22⋊C4×Dic83C22semidirect
170. C4×(C2×D83)⋊C4C22semidirect
173. C42×Dic83C22semidirect
174. C2×#124×C83C22semidirect
175. C2×#124×C83C22semidirect
176. C2×#121×C83C22semidirect
177. C2×#121×C83C22semidirect
178. #395×C83C22semidirect
179. #394×C83C22semidirect
183. #388×C83C22semidirect
184. #388×C83C22semidirect
185. #386×C83C22semidirect
186. #386×C83C22semidirect
187. C4×C22⋊C4×C83C22semidirect
188. C4×C22⋊C4×C83C22semidirect
257. (C22⋊D83)⋊C4D4semidirect
472. C22×Dic83C2×D4semidirect
523. Dic83⋊C4C2×D4semidirect
581. C4×Dic83C2×D4semidirect
640. C22⋊C4×C83C2×D4semidirect
905. Dic83#538semidirect
933. #2555D83semidirect
953. C83#35007semidirect
968. C2×#124C2×D83semidirect
969. C2×#124C2×D83semidirect
986. C2×#121C2×D83semidirect
987. C2×#121C2×D83semidirect
1016. #395C2×D83semidirect
1028. #394C2×D83semidirect
1079. #388C2×D83semidirect
1080. #388C2×D83semidirect
1089. #386C2×D83semidirect
1090. #386C2×D83semidirect
1108. C4×C22⋊C4C2×D83semidirect
1109. C4×C22⋊C4C2×D83semidirect
1550. C22⋊C4D4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282852
C2×#191282832
#249158292
#249158182
#249158062
#249157912
#249136072
#249136052
#249135902
#249135882
#249125322
#249125252
#249125232
#249120462
#249118232
#249115932
#249115852
#249112252
#249111582
#249110952
#249110482
#249109982
#249109962
#249108962
#249108122
#249101252
#249101192
C4×#145817652
#390×D832
C4×(C22⋊D83)⋊C42
C83×#25552
#3500783