Finite Group Databasebeta

← #35613293

Subgroups — #35613293

Order 21248.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915758C211yesmaximal, characteristic, complemented
2#24915744C211yesmaximal, characteristic, complemented
3#24915319C211yesmaximal, characteristic, complemented
4#24915186C211yesmaximal, characteristic, complemented
5#24914792C211yesmaximal, characteristic, complemented
6#24914745C211yesmaximal, characteristic, complemented
7#24914724C211yesmaximal, characteristic, complemented
8#24914679C211yesmaximal, characteristic, complemented
9#24914568C211yesmaximal, characteristic, complemented
10#24914197C211yesmaximal, characteristic, complemented
11#24914196C211yesmaximal, characteristic, complemented
12#24914144C211yesmaximal, characteristic, complemented
13#24914108C211yesmaximal, characteristic, complemented
14#24914045C211yesmaximal, characteristic, complemented
15#24913904C211yesmaximal, characteristic, complemented
16#24913736C211yesmaximal, characteristic, complemented
17#24913722C211yesmaximal, characteristic, complemented
18#24913705C211yesmaximal, characteristic, complemented
19#24913197C211yesmaximal, characteristic, complemented
20#24912689C211yesmaximal, characteristic, complemented
21#24912427C211yesmaximal, characteristic, complemented
22#24911098C211yesmaximal, characteristic, complemented
23#24911003C211yesmaximal, characteristic, complemented
24#24910997C211yesmaximal, characteristic, complemented
25#24910929C211yesmaximal, characteristic, complemented
26#24910923C211yesmaximal, characteristic, complemented
27#24910818C211yesmaximal, characteristic, complemented
28#24910164C211yesmaximal, characteristic, complemented
29#24910091C211yesmaximal, characteristic, complemented
30C2×#19127577C211yesmaximal, characteristic, complemented
31C83×#2622C211yesmaximal, characteristic, complemented
32C23×C22⋊D83C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C2×#14581788C2211yescharacteristic
35C2×#14581788C2211yescharacteristic
36C2×#14581777C2211yescharacteristic, complemented
37C2×#14581777C2211yescharacteristic, complemented
38C2×#14581776C2211yescharacteristic, complemented
39C2×#14581774C2211yescharacteristic, complemented
40C2×#14581767C2211yescharacteristic, complemented
41C2×#14581766C2211yescharacteristic
42C2×#14581765C2211yescharacteristic
43C2×#14581765C2211yescharacteristic
44C2×#14581765C2211yescharacteristic, complemented
45C2×#14581765C2211yescharacteristic, complemented
46C2×#14581764C2211yescharacteristic
47C2×#14581764C2211yescharacteristic
48C2×#14581764C2211yescharacteristic, complemented
49C2×#14581762C2211yescharacteristic
50C2×#14581762C2211yescharacteristic
51C2×#14581761C2211yescharacteristic
52C2×#14581761C2211yescharacteristic
53C2×#14581760C2211yescharacteristic
54C2×D4×Dic83C2211yescharacteristic
55C2×(C22⋊D83)⋊C4C2211yescharacteristic
56C2×(C22⋊D83)⋊C4C2211yescharacteristic
57C22×C22⋊Dic83C2211yescharacteristic
58C22×(C2×D83)⋊C4C2211yescharacteristic
59#19127642C2211yescharacteristic, complemented
60#19127639C2211yescharacteristic, complemented
61#19127638C2211yescharacteristic, complemented
62#19127637C2211yescharacteristic, complemented
63#19127635C2211yescharacteristic, complemented
64#19127635C2211yescharacteristic, complemented
65#19127631C2211yescharacteristic, complemented
66#19127630C2211yescharacteristic, complemented
67#19127629C2211yescharacteristic, complemented
68#19127628C2211yescharacteristic, complemented
69#19127626C2211yescharacteristic, complemented
70#19127626C2211yescharacteristic, complemented
71#19127624C2211yescharacteristic, complemented
72#19127623C2211yescharacteristic, complemented
73#19127619C2211yescharacteristic, complemented
74#19127618C2211yescharacteristic, complemented
75#19127617C2211yescharacteristic, complemented
76#19127617C2211yescharacteristic, complemented
77#19127617C2211yescharacteristic, complemented
78#19127617C2211yescharacteristic, complemented
79#19127617C2211yescharacteristic, complemented
80#19127617C2211yescharacteristic, complemented
81#19127617C2211yescharacteristic, complemented
82#19127617C2211yescharacteristic, complemented
83#19127616C2211yescharacteristic
84#19127616C2211yescharacteristic
85#19127616C2211yescharacteristic, complemented
86#19127616C2211yescharacteristic, complemented
87#19127615C2211yescharacteristic, complemented
88#19127611C2211yescharacteristic, complemented
89#19127610C2211yescharacteristic
90#19127610C2211yescharacteristic
91#19127610C2211yescharacteristic
92#19127610C2211yescharacteristic
93#19127610C2211yescharacteristic, complemented
94#19127610C2211yescharacteristic, complemented
95#19127610C2211yescharacteristic, complemented
96#19127609C2211yescharacteristic
97#19127609C2211yescharacteristic
98#19127609C2211yescharacteristic, complemented
99#19127602C2211yescharacteristic, complemented
100#19127601C2211yescharacteristic
101#19127601C2211yescharacteristic
102#19127601C2211yescharacteristic
103#19127601C2211yescharacteristic
104#19127601C2211yescharacteristic, complemented
105#19127595C2211yescharacteristic, complemented
106#19127595C2211yescharacteristic, complemented
107#19127595C2211yescharacteristic, complemented
108#19127594C2211yescharacteristic, complemented
109#19127594C2211yescharacteristic, complemented
110#19127593C2211yescharacteristic, complemented
111#19127593C2211yescharacteristic, complemented
112#19127593C2211yescharacteristic, complemented
113#19127593C2211yescharacteristic, complemented
114#19127591C2211yescharacteristic, complemented
115#19127590C2211yescharacteristic, complemented
116#19127590C2211yescharacteristic, complemented
117#19127588C2211yescharacteristic, complemented
118#19127588C2211yescharacteristic, complemented
119#19127587C2211yescharacteristic, complemented
120#19127586C2211yescharacteristic, complemented
121#19127583C2211yescharacteristic, complemented
122#19127583C2211yescharacteristic, complemented
123#19127582C2211yescharacteristic, complemented
124#19127582C2211yescharacteristic, complemented
125#19127581C2211yescharacteristic, complemented
126#19127580C2211yescharacteristic
127#19127580C2211yescharacteristic
128#19127579C2211yescharacteristic, complemented
129#19127579C2211yescharacteristic, complemented
130#19127579C2211yescharacteristic, complemented
131#19127579C2211yescharacteristic, complemented
132#19127579C2211yescharacteristic, complemented
133#19127579C2211yescharacteristic, complemented
134#19127578C2211yescharacteristic
135#19127578C2211yescharacteristic
136#19127578C2211yescharacteristic, complemented
137#19127578C2211yescharacteristic, complemented
138#19127577C2211yescharacteristic
139#19127577C2211yescharacteristic
140#19127577C2211yescharacteristic
141#19127577C2211yescharacteristic
142#19127577C2211yescharacteristic
143#19127577C2211yescharacteristic
144#19127577C2211yescharacteristic
145#19127577C2211yescharacteristic
146#19127577C2211yescharacteristic, complemented
147#19127577C2211yescharacteristic, complemented
148#19127577C2211yescharacteristic, complemented
149#19127577C2211yescharacteristic, complemented
150#19127577C2211yescharacteristic, complemented
151#19127576C2211yescharacteristic
152#19127575C2211yescharacteristic, complemented
153#19127573C2211yescharacteristic
154#19127573C2211yescharacteristic, complemented
155#19127572C2211yescharacteristic, complemented
156#19127572C2211yescharacteristic, complemented
157#19127568C2211yescharacteristic, complemented
158#19127566C2211yescharacteristic, complemented
159#19127563C2211yescharacteristic, complemented
160#19127563C2211yescharacteristic, complemented
161#19127563C2211yescharacteristic, complemented
162#19127561C2211yescharacteristic
163#19127560C2211yescharacteristic, complemented
164#19127560C2211yescharacteristic, complemented
165#19127559C2211yescharacteristic
166#19127559C2211yescharacteristic
167#19127558C2211yescharacteristic, complemented
168#19127556C2211yescharacteristic
169C22⋊C4×Dic83C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C2×#120×C83C2211yescharacteristic
173C22×C22⋊C4×C83C2211yescharacteristic
174#397×C83C2211yescharacteristic, complemented
175#397×C83C2211yescharacteristic, complemented
176#397×C83C2211yescharacteristic, complemented
177#397×C83C2211yescharacteristic, complemented
178#394×C83C2211yescharacteristic, complemented
179#394×C83C2211yescharacteristic, complemented
180#394×C83C2211yescharacteristic, complemented
181#394×C83C2211yescharacteristic, complemented
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic
184#385×C83C2211yescharacteristic
185#385×C83C2211yescharacteristic
186#379×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C22×D332C2311yescharacteristic
189C22×D332C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×C22⋊D83—24no—
194C22×C22⋊D83—42no—
195C22×C22⋊D83—42no—
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
208C22×C22⋊D83C2311yescharacteristic
209C22×C22⋊D83C2311yescharacteristic
210C23×Dic83C2311yescharacteristic
211C23×Dic83C2311yescharacteristic
212C23×Dic83C2311yescharacteristic
213C23×Dic83C2311yescharacteristic
214C22×C4×D83—42no—
215C22×C4×D83—42no—
216C22×C4×D83—42no—
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222C22×C4×D83C2311yescharacteristic
223#14581788—42no—
224#14581788—42no—
225#14581777—42no—
226#14581777—42no—
227#14581776—42no—
228#14581774—42no—
229#14581767—42no—
230#14581766—42no—
231#14581765—42no—
232#14581765—42no—
233#14581765—42no—
234#14581765—42no—
235#14581764—24no—
236#14581764—42no—
237#14581764—42no—
238#14581762—42no—
239#14581762—42no—
240#14581761—42no—
241#14581761—42no—
242#14581760—42no—
243D4×Dic83—42no—
244(C22⋊D83)⋊C4—24no—
245(C22⋊D83)⋊C4—42no—
246C2×C4⋊Dic83C2311yescharacteristic
247C2×C4⋊Dic83C2311yescharacteristic
248C2×C4⋊Dic83C2311yescharacteristic
249C2×C4⋊Dic83C2311yescharacteristic
250C2×C4⋊Dic83C2311yescharacteristic
251C2×C4⋊Dic83C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×C22⋊Dic83—42no—
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
276C2×(C2×D83)⋊C4—42no—
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
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×C4×Dic83C2311yescharacteristic
306C2×C4×Dic83C2311yescharacteristic
307C2×C4×Dic83C2311yescharacteristic
308C2×C4×Dic83C2311yescharacteristic
309C2×C4×Dic83C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C25×C83C2311yescharacteristic
339C22×D4×C83C2311yescharacteristic
340C22×D4×C83C2311yescharacteristic
341C22×D4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343C23×C4×C83C2311yescharacteristic
344#120×C83—42no—
345C2×C4⋊C4×C83C2311yescharacteristic
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83—42no—
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C22⋊C4×C83C2311yescharacteristic
365C2×C22⋊C4×C83C2311yescharacteristic
366C2×C22⋊C4×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369#95×C83C2311yescharacteristic
370#95×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375C23×D83—22no—
376C23×D83—22no—
377C23×D83—22no—
378C23×D83—22no—
379C23×D83—22no—
380C23×D83—41no—
381C23×D83—41no—
382C23×D83C2411yescharacteristic
383C23×D83C2411yescharacteristic
384C23×D83C2411yescharacteristic
385C23×D83C2411yescharacteristic
386C2×D332—22no—
387C2×D332—22no—
388C2×D332—22no—
389C2×D332—22no—
390C2×D332—41no—
391C2×D332—41no—
392C2×D332—41no—
393C2×D332—41no—
394C2×D332—41no—
395C2×D332—41no—
396C2×D332—41no—
397C2×D332—41no—
398C2×D332—41no—
399C2×D332—41no—
400C2×D332—41no—
401C2×C22⋊D83—22no—
402C2×C22⋊D83—22no—
403C2×C22⋊D83—22no—
404C2×C22⋊D83—22no—
405C2×C22⋊D83—22no—
406C2×C22⋊D83—22no—
407C2×C22⋊D83—22no—
408C2×C22⋊D83—22no—
409C2×C22⋊D83—22no—
410C2×C22⋊D83—22no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
414C2×C22⋊D83—22no—
415C2×C22⋊D83—22no—
416C2×C22⋊D83—22no—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—22no—
419C2×C22⋊D83—41no—
420C2×C22⋊D83—41no—
421C2×C22⋊D83—41no—
422C2×C22⋊D83—41no—
423C2×C22⋊D83—41no—
424C2×C22⋊D83—41no—
425C2×C22⋊D83—41no—
426C2×C22⋊D83—41no—
427C2×C22⋊D83—41no—
428C2×C22⋊D83—41no—
429C2×C22⋊D83—41no—
430C2×C22⋊D83—41no—
431C2×C22⋊D83—41no—
432C2×C22⋊D83—41no—
433C2×C22⋊D83—41no—
434C2×C22⋊D83—41no—
435C2×C22⋊D83—41no—
436C2×C22⋊D83—41no—
437C2×C22⋊D83—41no—
438C2×C22⋊D83—41no—
439C2×C22⋊D83—41no—
440C2×C22⋊D83—41no—
441C2×C22⋊D83—41no—
442C2×C22⋊D83—41no—
443C2×C22⋊D83—416no—
444C22×Dic83—22no—
445C22×Dic83—22no—
446C22×Dic83—22no—
447C22×Dic83—41no—
448C22×Dic83—41no—
449C22×Dic83—41no—
450C22×Dic83—41no—
451C22×Dic83—41no—
452C22×Dic83—41no—
453C22×Dic83—41no—
454C22×Dic83—41no—
455C22×Dic83#4114yes—
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C22×Dic83C2411yescharacteristic
459C22×Dic83C2411yescharacteristic
460C22×Dic83C2411yescharacteristic
461C22×Dic83C2411yescharacteristic
462C22×Dic83C2411yescharacteristic
463C22×Dic83C2411yescharacteristic
464C22×Dic83C2411yescharacteristic
465C22×Dic83C2411yescharacteristic
466C22×Dic83C2411yescharacteristic
467C22×Dic83C2411yescharacteristic
468C2×C4×D83—22no—
469C2×C4×D83—22no—
470C2×C4×D83—22no—
471C2×C4×D83—22no—
472C2×C4×D83—22no—
473C2×C4×D83—41no—
474C2×C4×D83—41no—
475C2×C4×D83—41no—
476C2×C4×D83—41no—
477C2×C4×D83—41no—
478C2×C4×D83—41no—
479C2×C4×D83—41no—
480C2×C4×D83—41no—
481C2×C4×D83—416no—
482C2×C4×D83—41no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83—41no—
487C4⋊Dic83—41no—
488C4⋊Dic83—41no—
489C4⋊Dic83—41no—
490C4⋊Dic83—41no—
491C4⋊Dic83—41no—
492C4⋊Dic83—41no—
493Dic83⋊C4—22no—
494Dic83⋊C4—22no—
495Dic83⋊C4—22no—
496Dic83⋊C4—22no—
497Dic83⋊C4—41no—
498Dic83⋊C4—41no—
499Dic83⋊C4—41no—
500Dic83⋊C4—41no—
501Dic83⋊C4—41no—
502Dic83⋊C4—41no—
503C22⋊Dic83—22no—
504C22⋊Dic83—22no—
505C22⋊Dic83—22no—
506C22⋊Dic83—22no—
507C22⋊Dic83—22no—
508C22⋊Dic83—41no—
509C22⋊Dic83—41no—
510C22⋊Dic83—41no—
511C22⋊Dic83—41no—
512C22⋊Dic83—41no—
513C22⋊Dic83—41no—
514C22⋊Dic83—41no—
515C22⋊Dic83—41no—
516(C2×D83)⋊C4—22no—
517(C2×D83)⋊C4—22no—
518(C2×D83)⋊C4—22no—
519(C2×D83)⋊C4—22no—
520(C2×D83)⋊C4—22no—
521(C2×D83)⋊C4—22no—
522(C2×D83)⋊C4—22no—
523(C2×D83)⋊C4—41no—
524(C2×D83)⋊C4—41no—
525(C2×D83)⋊C4—41no—
526(C2×D83)⋊C4—41no—
527(C2×D83)⋊C4—41no—
528(C2×D83)⋊C4—41no—
529(C2×D83)⋊C4—41no—
530(C2×D83)⋊C4—41no—
531(C2×D83)⋊C4—41no—
532(C2×D83)⋊C4—41no—
533(C2×D83)⋊C4—41no—
534(C2×D83)⋊C4—41no—
535(C2×D83)⋊C4—41no—
536(C2×D83)⋊C4—41no—
537(C2×D83)⋊C4—41no—
538(C2×D83)⋊C4—41no—
539(C2×D83)⋊C4—41no—
540(C2×D83)⋊C4—41no—
541(C2×D83)⋊C4—41no—
542(C2×D83)⋊C4—41no—
543(C2×D83)⋊C4—41no—
544C4×Dic83—22no—
545C4×Dic83—41no—
546C4×Dic83—41no—
547C4×Dic83—41no—
548C4×Dic83—41no—
549C24×C83—22no—
550C24×C83—22no—
551C24×C83—22no—
552C24×C83—41no—
553C24×C83—41no—
554C24×C83—41no—
555C24×C83—41no—
556C24×C83C2411yescharacteristic
557C24×C83C2411yescharacteristic
558C24×C83C2411yescharacteristic
559C24×C83C2411yescharacteristic
560C2×D4×C83—22no—
561C2×D4×C83—22no—
562C2×D4×C83—22no—
563C2×D4×C83—41no—
564C2×D4×C83—41no—
565C2×D4×C83—41no—
566C2×D4×C83—41no—
567C2×D4×C83—41no—
568C2×D4×C83—41no—
569C22×C4×C83—22no—
570C22×C4×C83—22no—
571C22×C4×C83—41no—
572C22×C4×C83—41no—
573C22×C4×C83—41no—
574C22×C4×C83—41no—
575C22×C4×C83C2411yescharacteristic
576C22×C4×C83C2411yescharacteristic
577C22×C4×C83C2411yescharacteristic
578C22×C4×C83C2411yescharacteristic
579C22×C4×C83C2411yescharacteristic
580C22×C4×C83C2411yescharacteristic
581C22×C4×C83C2411yescharacteristic
582C22×C4×C83C2411yescharacteristic
583C22×C4×C83C2411yescharacteristic
584C22×C4×C83C2411yescharacteristic
585C22×C4×C83C2411yescharacteristic
586C4⋊C4×C83—41no—
587C4⋊C4×C83—41no—
588C4⋊C4×C83—41no—
589C4⋊C4×C83—41no—
590C22⋊C4×C83—22no—
591C22⋊C4×C83—22no—
592C22⋊C4×C83—22no—
593C22⋊C4×C83—41no—
594C22⋊C4×C83—41no—
595C22⋊C4×C83—41no—
596C22⋊C4×C83—41no—
597C22⋊C4×C83—41no—
598C22⋊C4×C83—41no—
599C22⋊C4×C83—41no—
600C22⋊C4×C83—41no—
601C22⋊C4×C83—41no—
602C22⋊C4×C83—41no—
603C22⋊C4×C83—41no—
604C22⋊C4×C83—41no—
605C22⋊C4×C83—41no—
606C22⋊C4×C83—41no—
607C23×C83—21no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—21no—
611C23×C83—21no—
612C23×C83—21no—
613C23×C83—21no—
614C23×C83—21no—
615C23×C83—21no—
616C23×C83—21no—
617C23×C83—21no—
618C23×C83—21no—
619C23×C83—21no—
620C23×C83—21no—
621C23×C83—21no—
622C23×C83—21no—
623C23×C83—21no—
624C23×C83—21no—
625C23×C83—21no—
626C23×C83—21no—
627C23×C83—21no—
628C23×C83—21no—
629C23×C83—21no—
630C23×C83—21no—
631C23×C83—21no—
632C23×C83—44no—
633C23×C83—44no—
634C23×C83—44no—
635C23×C83—82no—
636C23×C83—82no—
637C23×C83—82no—
638C23×C83—82no—
639C23×C83C2×#4112yes—
640C23×C83H(5,𝔽2)12yes—
641C23×C83H(5,𝔽2)12yes—
642C23×C83C2511yescharacteristic
643C22×D83—28no—
644C22×D83—21no—
645C22×D83—21no—
646C22×D83—21no—
647C22×D83—21no—
648C22×D83—21no—
649C22×D83—21no—
650C22×D83—21no—
651C22×D83—21no—
652C22×D83—21no—
653C22×D83—21no—
654C22×D83—21no—
655C22×D83—21no—
656C22×D83—21no—
657C22×D83—21no—
658C22×D83—21no—
659C22×D83—21no—
660C22×D83—21no—
661C22×D83—21no—
662C22×D83—21no—
663C22×D83—21no—
664C22×D83—21no—
665C22×D83—21no—
666C22×D83—21no—
667C22×D83—21no—
668C22×D83—21no—
669C22×D83—21no—
670C22×D83—44no—
671C22×D83—44no—
672C22×D83—44no—
673C22×D83—44no—
674C22×D83—44no—
675C22×D83—44no—
676C22×D83H(5,𝔽2)12yes—
677C22×D83H(5,𝔽2)12yes—
678D4×C83—44no—
679D4×C83—82no—
680D4×C83—82no—
681C2×C4×C83—21no—
682C2×C4×C83—21no—
683C2×C4×C83—21no—
684C2×C4×C83—21no—
685C2×C4×C83—21no—
686C2×C4×C83—21no—
687C2×C4×C83—21no—
688C2×C4×C83—21no—
689C2×C4×C83—21no—
690C2×C4×C83—21no—
691C2×C4×C83—21no—
692C2×C4×C83—21no—
693C2×C4×C83—21no—
694C2×C4×C83—21no—
695C2×C4×C83—21no—
696C2×C4×C83—21no—
697C2×C4×C83—21no—
698C2×C4×C83—21no—
699C2×C4×C83—21no—
700C2×C4×C83—21no—
701C2×C4×C83—21no—
702C2×C4×C83—21no—
703C2×C4×C83—21no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—21no—
714C2×C4×C83—44no—
715C2×C4×C83—82no—
716C22⋊D83—44no—
717C22⋊D83—44no—
718C22⋊D83—44no—
719C22⋊D83—44no—
720C22⋊D83—44no—
721C22⋊D83—44no—
722C22⋊D83—82no—
723C22⋊D83—82no—
724C22⋊D83—82no—
725C22⋊D83—82no—
726C22⋊D83—82no—
727C22⋊D83—82no—
728C22⋊D83—82no—
729C22⋊D83—82no—
730C2×Dic83—21no—
731C2×Dic83—21no—
732C2×Dic83—21no—
733C2×Dic83—21no—
734C2×Dic83—21no—
735C2×Dic83—21no—
736C2×Dic83—21no—
737C2×Dic83—21no—
738C2×Dic83—21no—
739C2×Dic83—21no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—21no—
743C2×Dic83—21no—
744C2×Dic83—21no—
745C2×Dic83—21no—
746C2×Dic83—21no—
747C2×Dic83—21no—
748C2×Dic83—21no—
749C2×Dic83—21no—
750C2×Dic83—21no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—21no—
755C2×Dic83—21no—
756C2×Dic83—21no—
757C2×Dic83—21no—
758C2×Dic83—21no—
759C2×Dic83—21no—
760C2×Dic83—21no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—44no—
764C2×Dic83—44no—
765C2×Dic83—82no—
766C2×Dic83—82no—
767C2×Dic83C2×#4112yes—
768C2×Dic83C2×#4112yes—
769C2×Dic83H(5,𝔽2)12yes—
770D332—82no—
771D332—82no—
772D332—82no—
773D332—82no—
774D332—82no—
775C4×D83—44no—
776C4×D83—44no—
777C4×D83—44no—
778C4×D83—44no—
779C4×D83—82no—
780C4×D83—82no—
781C22×C83—22no—
782C22×C83—22no—
783C22×C83—22no—
784C22×C83—22no—
785C22×C83—22no—
786C22×C83—22no—
787C22×C83—41no—
788C22×C83—41no—
789C22×C83—41no—
790C22×C83—41no—
791C22×C83—41no—
792C22×C83—41no—
793C22×C83—41no—
794C22×C83—41no—
795C22×C83—41no—
796C22×C83—41no—
797C22×C83—41no—
798C22×C83—41no—
799C22×C83—41no—
800C22×C83—41no—
801C22×C83—41no—
802C22×C83—41no—
803C22×C83—41no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83—41no—
808C22×C83—88no—
809C22×C83#54014yes—
810C22×C83C22×#4111yescharacteristic
811C22×C83C2×H(5,𝔽2)11yescharacteristic
812C22×C83C2×H(5,𝔽2)11yescharacteristic
813C22×C83C2×H(5,𝔽2)11yescharacteristic
814C22×C83C2×H(5,𝔽2)11yescharacteristic
815C22×C83C2×H(5,𝔽2)11yescharacteristic
816C22×C83#58511yescharacteristic
817C2×D83—22no—
818C2×D83—22no—
819C2×D83—22no—
820C2×D83—22no—
821C2×D83—22no—
822C2×D83—22no—
823C2×D83—416no—
824C2×D83—41no—
825C2×D83—41no—
826C2×D83—41no—
827C2×D83—41no—
828C2×D83—41no—
829C2×D83—41no—
830C2×D83—41no—
831C2×D83—41no—
832C2×D83—41no—
833C2×D83—41no—
834C2×D83—41no—
835C2×D83—41no—
836C2×D83—41no—
837C2×D83—41no—
838C2×D83—41no—
839C2×D83—41no—
840C2×D83—41no—
841C2×D83—41no—
842C2×D83—41no—
843C2×D83—41no—
844C2×D83—41no—
845C2×D83—41no—
846C4×C83—41no—
847C4×C83—41no—
848C4×C83—41no—
849C4×C83—41no—
850C4×C83—41no—
851C4×C83—41no—
852C4×C83—41no—
853C4×C83—41no—
854C4×C83—41no—
855C4×C83—41no—
856C4×C83—41no—
857Dic83—22no—
858Dic83—22no—
859Dic83—22no—
860Dic83—41no—
861Dic83—41no—
862Dic83—41no—
863Dic83—41no—
864Dic83—41no—
865Dic83—41no—
866Dic83—41no—
867Dic83—41no—
868Dic83—41no—
869#36794—831nomaximal, Sylow
870C2×C83—24no—
871C2×C83—81no—
872C2×C83—81no—
873C2×C83—81no—
874C2×C83C2×#54011yescharacteristic
875C2×C83#349011yescharacteristic
876C2×C83#350611yescharacteristic
877C2×C83#353211yescharacteristic
878C2×C83#353411yescharacteristic
879C2×C83#353411yescharacteristic
880C2×C83#353711yescharacteristic
881D83—42no—
882D83—42no—
883D83—81no—
884D83—81no—
885#2849—831no—
886#2847—831no—
887#2797—831no—
888#2786—831no—
889#2756—831no—
890#2753—831no—
891#2752—831no—
892#2749—831no—
893#2740—831no—
894#2709—831no—
895#2709—831no—
896#2706—831no—
897#2703—831no—
898#2699—831no—
899#2688—831no—
900#2673—831no—
901#2673—831no—
902#2671—831no—
903#2622D8311yescharacteristic, complemented
904#2617—831no—
905#2569—831no—
906#2543—831no—
907#2433—831no—
908#2424—831no—
909#2424—831no—
910#2418—831no—
911#2418—831no—
912#2408—831no—
913#2325—831no—
914#2318—831no—
915C2×#386—831no—
916C83#3679411yescharacteristic, complemented, Sylow
917C23×D4—831no—
918C24×C4—831no—
919C2×#127—831no—
920C2×#127—831no—
921C2×#123—831no—
922C2×#123—831no—
923C2×#123—831no—
924C2×#123—831no—
925C2×#121—831no—
926C2×#121—831no—
927C2×#121—831no—
928C2×#121—831no—
929C2×#121—831no—
930C2×#121—831no—
931C2×#121—831no—
932C2×#121—831no—
933C2×#121—831no—
934C2×#120—831no—
935C2×#120—831no—
936C2×#120—831no—
937C2×#120—831no—
938C2×#120—831no—
939C2×#120C2×D8311yescharacteristic
940C2×C4×D4—831no—
941C2×C4×D4—831no—
942C2×C4×D4—831no—
943C22×C22⋊C4—831no—
944C22×C22⋊C4—831no—
945C22×C22⋊C4C2×D8311yescharacteristic
946#400—831no—
947#400—831no—
948#399—831no—
949#399—831no—
950#398—831no—
951#398—831no—
952#398—831no—
953#397—831no—
954#397—831no—
955#397—831no—
956#397—831no—
957#397—831no—
958#397C2×D8311yescharacteristic, complemented
959#397C2×D8311yescharacteristic, complemented
960#397C2×D8311yescharacteristic, complemented
961#397C2×D8311yescharacteristic, complemented
962#396—831no—
963#396—831no—
964#394—831no—
965#394—831no—
966#394—831no—
967#394—831no—
968#394—831no—
969#394—831no—
970#394—831no—
971#394—831no—
972#394—831no—
973#394—831no—
974#394—831no—
975#394—831no—
976#394—831no—
977#394—831no—
978#394—831no—
979#394C2×D8311yescharacteristic, complemented
980#394C2×D8311yescharacteristic, complemented
981#394C2×D8311yescharacteristic, complemented
982#394C2×D8311yescharacteristic, complemented
983#392—831no—
984#392—831no—
985#392—831no—
986#392—831no—
987#392—831no—
988#392—831no—
989#392—831no—
990#392—831no—
991#392—831no—
992#392—831no—
993#392—831no—
994#390—831no—
995#390—831no—
996#390—831no—
997#390—831no—
998#390—831no—
999#390—831no—
1000#388—831no—
1001#388—831no—
1002#388—831no—
1003#388—831no—
1004#388—831no—
1005#388—831no—
1006#388—831no—
1007#388—831no—
1008#388—831no—
1009#388—831no—
1010#388—831no—
1011#388—831no—
1012#387—831no—
1013#387—831no—
1014#387—831no—
1015#387—831no—
1016#387—831no—
1017#387—831no—
1018#387—831no—
1019#387—831no—
1020#386—831no—
1021#386—831no—
1022#386—831no—
1023#386—831no—
1024#386—831no—
1025#386—831no—
1026#386—831no—
1027#386—831no—
1028#386—831no—
1029#386—831no—
1030#386—831no—
1031#386—831no—
1032#386—831no—
1033#386—831no—
1034#386—831no—
1035#386—831no—
1036#386—831no—
1037#386—831no—
1038#386—831no—
1039#386—831no—
1040#386—831no—
1041#386—831no—
1042#386—831no—
1043#386—831no—
1044#386—831no—
1045#386—831no—
1046#386C2×D8311yescharacteristic
1047#386C2×D8311yescharacteristic
1048#385—831no—
1049#385—831no—
1050#385—831no—
1051#385—831no—
1052#385—831no—
1053#385—831no—
1054#385C2×D8311yescharacteristic
1055#385C2×D8311yescharacteristic
1056#383—831no—
1057#382—831no—
1058#381—831no—
1059#381—831no—
1060#381—831no—
1061#380—831no—
1062#380—831no—
1063#380—831no—
1064#380—831no—
1065#380—831no—
1066#380—831no—
1067#379—831no—
1068#379C2×D8311yescharacteristic
1069C4×C22⋊C4—831no—
1070C2×#95—831no—
1071C2×#95—831no—
1072C25—831no—
1073C25C22×D8311yescharacteristic
1074C22×D4—3322no—
1075C22×D4—3322no—
1076C22×D4—831no—
1077C22×D4—831no—
1078C22×D4—831no—
1079C22×D4—831no—
1080C22×D4—831no—
1081C22×D4—831no—
1082C22×D4—831no—
1083C22×D4—831no—
1084C22×D4—831no—
1085C22×D4—831no—
1086C22×D4—831no—
1087C22×D4—831no—
1088C22×D4—831no—
1089C22×D4—831no—
1090C22×D4—831no—
1091C22×D4—831no—
1092C22×D4—831no—
1093C22×D4—831no—
1094C22×D4—831no—
1095C22×D4—1664no—
1096C22×D4C22×D8311yescharacteristic
1097C22×D4C22×D8311yescharacteristic
1098C22×D4C22×D8311yescharacteristic
1099C23×C4—3322no—
1100C23×C4—3322no—
1101C23×C4—3322no—
1102C23×C4—831no—
1103C23×C4—831no—
1104C23×C4—831no—
1105C23×C4—831no—
1106C23×C4—831no—
1107C23×C4—831no—
1108C23×C4—831no—
1109C23×C4—831no—
1110C23×C4—831no—
1111C23×C4—831no—
1112C23×C4C22×D8311yescharacteristic
1113C23×C4C22×D8311yescharacteristic
1114#127—3322no—
1115#127—3322no—
1116#123—3322no—
1117#123—3322no—
1118#123—3322no—
1119#123—3322no—
1120#121—3322no—
1121#121—3322no—
1122#121—3322no—
1123#121—3322no—
1124#121—3322no—
1125#121—3322no—
1126#121—3322no—
1127#121—3322no—
1128#121—1664no—
1129#120—42no—
1130#120—3322no—
1131#120—3322no—
1132#120—3322no—
1133#120—3322no—
1134#120—3322no—
1135C4×D4—3322no—
1136C4×D4—3322no—
1137C4×D4—1664no—
1138C2×C4⋊C4—831no—
1139C2×C4⋊C4—831no—
1140C2×C4⋊C4—831no—
1141C2×C4⋊C4—831no—
1142C2×C4⋊C4—831no—
1143C2×C4⋊C4—831no—
1144C2×C4⋊C4—831no—
1145C2×C4⋊C4—831no—
1146C2×C4⋊C4—831no—
1147C2×C4⋊C4—831no—
1148C2×C4⋊C4—831no—
1149C2×C4⋊C4—831no—
1150C2×C4⋊C4—831no—
1151C2×C4⋊C4—831no—
1152C2×C4⋊C4—831no—
1153C2×C4⋊C4—831no—
1154C2×C4⋊C4C22×D8311yescharacteristic
1155C2×C4⋊C4C22×D8311yescharacteristic
1156C2×C4⋊C4C22×D8311yescharacteristic
1157C2×C4⋊C4C22×D8311yescharacteristic
1158C2×C22⋊C4—42no—
1159C2×C22⋊C4—3322no—
1160C2×C22⋊C4—3322no—
1161C2×C22⋊C4—831no—
1162C2×C22⋊C4—831no—
1163C2×C22⋊C4—831no—
1164C2×C22⋊C4—831no—
1165C2×C22⋊C4—831no—
1166C2×C22⋊C4—831no—
1167C2×C22⋊C4—831no—
1168C2×C22⋊C4—831no—
1169C2×C22⋊C4—831no—
1170C2×C22⋊C4—831no—
1171C2×C22⋊C4—831no—
1172C2×C22⋊C4—831no—
1173C2×C22⋊C4—831no—
1174C2×C22⋊C4—831no—
1175C2×C22⋊C4—831no—
1176C2×C22⋊C4—831no—
1177C2×C22⋊C4—831no—
1178C2×C22⋊C4—831no—
1179C2×C22⋊C4—831no—
1180C2×C22⋊C4—831no—
1181C2×C22⋊C4—831no—
1182C2×C22⋊C4—831no—
1183C2×C22⋊C4—831no—
1184C2×C22⋊C4—831no—
1185C2×C22⋊C4—831no—
1186C2×C22⋊C4—831no—
1187C2×C22⋊C4—831no—
1188C2×C22⋊C4—831no—
1189C2×C22⋊C4—831no—
1190C2×C22⋊C4—831no—
1191C2×C22⋊C4—831no—
1192C2×C22⋊C4—831no—
1193C2×C22⋊C4—831no—
1194C2×C22⋊C4—831no—
1195C2×C22⋊C4—831no—
1196C2×C22⋊C4—831no—
1197C2×C22⋊C4—831no—
1198C2×C22⋊C4—831no—
1199C2×C22⋊C4—831no—
1200C2×C22⋊C4—831no—
1201C2×C22⋊C4—831no—
1202C2×C22⋊C4C22×D8311yescharacteristic
1203C2×C22⋊C4C22×D8311yescharacteristic
1204C2×C22⋊C4C22×D8311yescharacteristic
1205C2×C22⋊C4C22×D8311yescharacteristic
1206C2×C22⋊C4C22×D8311yescharacteristic
1207C2×C22⋊C4C22×D8311yescharacteristic
1208C2×C22⋊C4C22×D8311yescharacteristic
1209C2×C22⋊C4C22×D8311yescharacteristic
1210C2×C22⋊C4C22×D8311yescharacteristic
1211C2×C22⋊C4C22×D8311yescharacteristic
1212C2×C22⋊C4C22×D8311yescharacteristic
1213C2×C22⋊C4C22×D8311yescharacteristic
1214C2×C22⋊C4C22×D8311yescharacteristic
1215C2×C22⋊C4C22×D8311yescharacteristic
1216C2×C22⋊C4C22×D8311yescharacteristic
1217C2×C22⋊C4C22×D8311yescharacteristic
1218C2×C22⋊C4C22×D8311yescharacteristic
1219C2×C42—831no—
1220C2×C42—831no—
1221C2×C42—831no—
1222C2×C42—831no—
1223C2×C42—831no—
1224#95—831no—
1225#95—831no—
1226#95—831no—
1227#95—831no—
1228#95—831no—
1229#95—831no—
1230#95—831no—
1231#95—831no—
1232#95—831no—
1233#95—831no—
1234#95—831no—
1235#95—831no—
1236#95—831no—
1237#95—831no—
1238#95—831no—
1239#95—831no—
1240#95—831no—
1241#95—831no—
1242#95—831no—
1243#95—831no—
1244#95—831no—
1245#95—831no—
1246#95—831no—
1247#95—831no—
1248#95—831no—
1249#95—831no—
1250#95—831no—
1251#95—831no—
1252#95C22×D8311yescharacteristic
1253#95C22×D8311yescharacteristic
1254#95C22×D8311yescharacteristic
1255#95C22×D8311yescharacteristic
1256#95C22×D8311yescharacteristic
1257#95C22×D8311yescharacteristic
1258#95C22×D8311yescharacteristic
1259#95C22×D8311yescharacteristic
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—41no—
1267C24—3321no—
1268C24—3321no—
1269C24—831no—
1270C24—831no—
1271C24—831no—
1272C24—831no—
1273C24—1662no—
1274C24—1662no—
1275C24—1662no—
1276C24—1662no—
1277C24—1662no—
1278C24C23×D8311yescharacteristic
1279C24C23×D8311yescharacteristic
1280C24C23×D8311yescharacteristic
1281C24C23×D8311yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—3321no—
1292C2×D4—3321no—
1293C2×D4—3321no—
1294C2×D4—3321no—
1295C2×D4—3321no—
1296C2×D4—3321no—
1297C2×D4—3321no—
1298C2×D4—3321no—
1299C2×D4—3321no—
1300C2×D4—3321no—
1301C2×D4—3321no—
1302C2×D4—33216no—
1303C2×D4—3321no—
1304C2×D4—3321no—
1305C2×D4—3321no—
1306C2×D4—3321no—
1307C2×D4—3321no—
1308C2×D4—3321no—
1309C2×D4—3321no—
1310C2×D4—3321no—
1311C2×D4—3321no—
1312C2×D4—3321no—
1313C2×D4—3321no—
1314C2×D4—3321no—
1315C2×D4—3321no—
1316C2×D4—3321no—
1317C2×D4—3321no—
1318C2×D4—3321no—
1319C2×D4—3321no—
1320C2×D4—3321no—
1321C2×D4—3321no—
1322C2×D4—3321no—
1323C2×D4—3321no—
1324C2×D4—3321no—
1325C2×D4—3321no—
1326C2×D4—3321no—
1327C2×D4—1662no—
1328C2×D4—1662no—
1329C2×D4—1662no—
1330C2×D4—1662no—
1331C2×D4—1662no—
1332C2×D4—1662no—
1333C2×D4—1662no—
1334C2×D4—1662no—
1335C2×D4—1662no—
1336C2×D4—1662no—
1337C2×D4—1662no—
1338C2×D4—1662no—
1339C2×D4—1662no—
1340C2×D4—1662no—
1341C2×D4—1662no—
1342C2×D4—1662no—
1343C2×D4—1662no—
1344C2×D4—1662no—
1345C2×D4—1662no—
1346C2×D4—1662no—
1347C2×D4—1662no—
1348C2×D4—1662no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—3321no—
1356C22×C4—3321no—
1357C22×C4—3321no—
1358C22×C4—3321no—
1359C22×C4—3321no—
1360C22×C4—3321no—
1361C22×C4—3321no—
1362C22×C4—3321no—
1363C22×C4—3321no—
1364C22×C4—3321no—
1365C22×C4—3321no—
1366C22×C4—3321no—
1367C22×C4—3321no—
1368C22×C4—33216no—
1369C22×C4—3321no—
1370C22×C4—3321no—
1371C22×C4—3321no—
1372C22×C4—3321no—
1373C22×C4—3321no—
1374C22×C4—3321no—
1375C22×C4—3321no—
1376C22×C4—3321no—
1377C22×C4—834no—
1378C22×C4—831no—
1379C22×C4—831no—
1380C22×C4—831no—
1381C22×C4—831no—
1382C22×C4—831no—
1383C22×C4—831no—
1384C22×C4—831no—
1385C22×C4—831no—
1386C22×C4—831no—
1387C22×C4—831no—
1388C22×C4—831no—
1389C22×C4—831no—
1390C22×C4—1662no—
1391C22×C4—1662no—
1392C22×C4—1662no—
1393C22×C4—1662no—
1394C22×C4—1662no—
1395C22×C4—1662no—
1396C22×C4—1662no—
1397C22×C4—1662no—
1398C22×C4C23×D8311yescharacteristic
1399C22×C4C23×D8311yescharacteristic
1400C22×C4C23×D8311yescharacteristic
1401C22×C4C23×D8311yescharacteristic
1402C22×C4C23×D8311yescharacteristic
1403C22×C4C23×D8311yescharacteristic
1404C22×C4C23×D8311yescharacteristic
1405C22×C4C23×D8311yescharacteristic
1406C22×C4C23×D8311yescharacteristic
1407C22×C4C23×D8311yescharacteristic
1408C22×C4C23×D8311yescharacteristic
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—3321no—
1414C4⋊C4—3321no—
1415C4⋊C4—3321no—
1416C4⋊C4—3321no—
1417C4⋊C4—3321no—
1418C4⋊C4—3321no—
1419C4⋊C4—3321no—
1420C4⋊C4—3321no—
1421C4⋊C4—3321no—
1422C4⋊C4—3321no—
1423C4⋊C4—3321no—
1424C4⋊C4—3321no—
1425C4⋊C4—1662no—
1426C4⋊C4—1662no—
1427C4⋊C4—1662no—
1428C4⋊C4—1662no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—3321no—
1447C22⋊C4—3321no—
1448C22⋊C4—3321no—
1449C22⋊C4—3321no—
1450C22⋊C4—3321no—
1451C22⋊C4—3321no—
1452C22⋊C4—3321no—
1453C22⋊C4—3321no—
1454C22⋊C4—3321no—
1455C22⋊C4—3321no—
1456C22⋊C4—3321no—
1457C22⋊C4—3321no—
1458C22⋊C4—3321no—
1459C22⋊C4—3321no—
1460C22⋊C4—3321no—
1461C22⋊C4—3321no—
1462C22⋊C4—3321no—
1463C22⋊C4—3321no—
1464C22⋊C4—3321no—
1465C22⋊C4—3321no—
1466C22⋊C4—3321no—
1467C22⋊C4—3321no—
1468C22⋊C4—3321no—
1469C22⋊C4—3321no—
1470C22⋊C4—3321no—
1471C22⋊C4—3321no—
1472C22⋊C4—3321no—
1473C22⋊C4—3321no—
1474C22⋊C4—3321no—
1475C22⋊C4—1662no—
1476C22⋊C4—1662no—
1477C22⋊C4—1662no—
1478C22⋊C4—1662no—
1479C22⋊C4—1662no—
1480C22⋊C4—1662no—
1481C22⋊C4—1662no—
1482C22⋊C4—1662no—
1483C22⋊C4—1662no—
1484C22⋊C4—1662no—
1485C22⋊C4—1662no—
1486C22⋊C4—1662no—
1487C42—3321no—
1488C42—3321no—
1489C42—3321no—
1490C42—3321no—
1491C42—1662no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—82no—
1521C23—82no—
1522C23—82no—
1523C23—82no—
1524C23—3324no—
1525C23—3324no—
1526C23—3324no—
1527C23—3324no—
1528C23—3324no—
1529C23—3324no—
1530C23—832no—
1531C23—832no—
1532C23—1668no—
1533C23—1661no—
1534C23—1661no—
1535C23—1661no—
1536C23—1661no—
1537C23—1661no—
1538C23—1661no—
1539C23—1661no—
1540C23—1661no—
1541C23—1661no—
1542C23—1661no—
1543C23—1661no—
1544C23—1661no—
1545C23—1661no—
1546C23—1661no—
1547C23—1661no—
1548C23—1661no—
1549C23—1661no—
1550C23—1661no—
1551C23—1661no—
1552C23—1661no—
1553C23—1661no—
1554C23—1661no—
1555C23—1661no—
1556C23—1661no—
1557C23—1661no—
1558C23—1661no—
1559C23#41×D8312yes—
1560C23#1458183712yes—
1561C23#1458183812yes—
1562C23C24×D8311yescharacteristic
1563D4—44no—
1564D4—82no—
1565D4—82no—
1566D4—3324no—
1567D4—3324no—
1568D4—3324no—
1569D4—3324no—
1570D4—3324no—
1571D4—3324no—
1572D4—6642no—
1573D4—6642no—
1574D4—6642no—
1575D4—6642no—
1576D4—6642no—
1577D4—6642no—
1578D4—6642no—
1579D4—6642no—
1580D4—6642no—
1581D4—6642no—
1582D4—6642no—
1583D4—6642no—
1584D4—6642no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—44no—
1619C2×C4—82no—
1620C2×C4—3324no—
1621C2×C4—3324no—
1622C2×C4—3324no—
1623C2×C4—3324no—
1624C2×C4—3324no—
1625C2×C4—3324no—
1626C2×C4—832no—
1627C2×C4—832no—
1628C2×C4—832no—
1629C2×C4—6642no—
1630C2×C4—6642no—
1631C2×C4—6642no—
1632C2×C4—6642no—
1633C2×C4—1661no—
1634C2×C4—1661no—
1635C2×C4—1661no—
1636C2×C4—1661no—
1637C2×C4—1661no—
1638C2×C4—1661no—
1639C2×C4—1661no—
1640C2×C4—1661no—
1641C2×C4—1661no—
1642C2×C4—1661no—
1643C2×C4—1661no—
1644C2×C4—1661no—
1645C2×C4—1661no—
1646C2×C4—1661no—
1647C2×C4—1661no—
1648C2×C4—1661no—
1649C2×C4—1661no—
1650C2×C4—1661no—
1651C2×C4—1661no—
1652C2×C4—1661no—
1653C2×C4—1661no—
1654C2×C4—1661no—
1655C2×C4—1661no—
1656C2×C4—1661no—
1657C2×C4—1661no—
1658C2×C4—1661no—
1659C2×C4—1661no—
1660C2×C4—1661no—
1661C2×C4—1661no—
1662C2×C4—1661no—
1663C2×C4—1661no—
1664C2×C4—1661no—
1665C2×C4—1661no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—88no—
1694C22—33216no—
1695C22—3321no—
1696C22—3321no—
1697C22—3321no—
1698C22—3321no—
1699C22—3321no—
1700C22—3321no—
1701C22—3321no—
1702C22—3321no—
1703C22—3321no—
1704C22—3321no—
1705C22—3321no—
1706C22—3321no—
1707C22—3321no—
1708C22—3321no—
1709C22—3321no—
1710C22—3321no—
1711C22—3321no—
1712C22—3321no—
1713C22—3321no—
1714C22—3321no—
1715C22—3321no—
1716C22—3321no—
1717C22—1662no—
1718C22—1662no—
1719C22—1662no—
1720C22—1662no—
1721C22—1662no—
1722C22—1662no—
1723C22#1912830314yes—
1724C22C2×#41×D8311yescharacteristic
1725C22H(5,𝔽2)×D8311yescharacteristic
1726C22H(5,𝔽2)×D8311yescharacteristic
1727C22H(5,𝔽2)×D8311yescharacteristic
1728C22C2×#1458183711yescharacteristic
1729C22C2×#1458183811yescharacteristic
1730C22#1912853611yescharacteristic
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—3321no—
1743C4—3321no—
1744C4—3321no—
1745C4—3321no—
1746C4—3321no—
1747C4—3321no—
1748C4—3321no—
1749C4—3321no—
1750C4—3321no—
1751C4—1662no—
1752C4—1662no—
1753C4—1662no—
1754C2—24no—
1755C2—81no—
1756C2—81no—
1757C2—81no—
1758C2—3322no—
1759C2—3322no—
1760C2—6641no—
1761C2—6641no—
1762C2C2×#1912830311yescharacteristic
1763C2#2492114911yescharacteristic
1764C2#2492131011yescharacteristic
1765C2#2492161511yescharacteristic
1766C2#2492164311yescharacteristic
1767C2#2492165411yescharacteristic
1768C2#2492169511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2622C2
hypercenter#2622D83
hypocenterC83#36794
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2622

Complements

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

NH ≅ G/Ntype
1. #24915758C2semidirect
2. #24915744C2semidirect
3. #24915319C2semidirect
4. #24915186C2semidirect
5. #24914792C2semidirect
6. #24914745C2semidirect
7. #24914724C2semidirect
8. #24914679C2semidirect
9. #24914568C2semidirect
10. #24914197C2semidirect
11. #24914196C2semidirect
12. #24914144C2semidirect
13. #24914108C2semidirect
14. #24914045C2semidirect
15. #24913904C2semidirect
16. #24913736C2semidirect
17. #24913722C2semidirect
18. #24913705C2semidirect
19. #24913197C2semidirect
20. #24912689C2semidirect
21. #24912427C2semidirect
22. #24911098C2semidirect
23. #24911003C2semidirect
24. #24910997C2semidirect
25. #24910929C2semidirect
26. #24910923C2semidirect
27. #24910818C2semidirect
28. #24910164C2semidirect
29. #24910091C2semidirect
30. C2×#19127577C2semidirect
31. C83×#2622C2semidirect
36. C2×#14581777C22semidirect
37. C2×#14581777C22semidirect
38. C2×#14581776C22semidirect
39. C2×#14581774C22semidirect
40. C2×#14581767C22semidirect
44. C2×#14581765C22semidirect
45. C2×#14581765C22semidirect
48. C2×#14581764C22semidirect
59. #19127642C22semidirect
60. #19127639C22semidirect
61. #19127638C22semidirect
62. #19127637C22semidirect
63. #19127635C22semidirect
64. #19127635C22semidirect
65. #19127631C22semidirect
66. #19127630C22semidirect
67. #19127629C22semidirect
68. #19127628C22semidirect
69. #19127626C22semidirect
70. #19127626C22semidirect
71. #19127624C22semidirect
72. #19127623C22semidirect
73. #19127619C22semidirect
74. #19127618C22semidirect
75. #19127617C22semidirect
76. #19127617C22semidirect
77. #19127617C22semidirect
78. #19127617C22semidirect
79. #19127617C22semidirect
80. #19127617C22semidirect
81. #19127617C22semidirect
82. #19127617C22semidirect
85. #19127616C22semidirect
86. #19127616C22semidirect
87. #19127615C22semidirect
88. #19127611C22semidirect
93. #19127610C22semidirect
94. #19127610C22semidirect
95. #19127610C22semidirect
98. #19127609C22semidirect
99. #19127602C22semidirect
104. #19127601C22semidirect
105. #19127595C22semidirect
106. #19127595C22semidirect
107. #19127595C22semidirect
108. #19127594C22semidirect
109. #19127594C22semidirect
110. #19127593C22semidirect
111. #19127593C22semidirect
112. #19127593C22semidirect
113. #19127593C22semidirect
114. #19127591C22semidirect
115. #19127590C22semidirect
116. #19127590C22semidirect
117. #19127588C22semidirect
118. #19127588C22semidirect
119. #19127587C22semidirect
120. #19127586C22semidirect
121. #19127583C22semidirect
122. #19127583C22semidirect
123. #19127582C22semidirect
124. #19127582C22semidirect
125. #19127581C22semidirect
128. #19127579C22semidirect
129. #19127579C22semidirect
130. #19127579C22semidirect
131. #19127579C22semidirect
132. #19127579C22semidirect
133. #19127579C22semidirect
136. #19127578C22semidirect
137. #19127578C22semidirect
146. #19127577C22semidirect
147. #19127577C22semidirect
148. #19127577C22semidirect
149. #19127577C22semidirect
150. #19127577C22semidirect
152. #19127575C22semidirect
154. #19127573C22semidirect
155. #19127572C22semidirect
156. #19127572C22semidirect
157. #19127568C22semidirect
158. #19127566C22semidirect
159. #19127563C22semidirect
160. #19127563C22semidirect
161. #19127563C22semidirect
163. #19127560C22semidirect
164. #19127560C22semidirect
167. #19127558C22semidirect
174. #397×C83C22semidirect
175. #397×C83C22semidirect
176. #397×C83C22semidirect
177. #397×C83C22semidirect
178. #394×C83C22semidirect
179. #394×C83C22semidirect
180. #394×C83C22semidirect
181. #394×C83C22semidirect
903. #2622D83semidirect
916. C83#36794semidirect
958. #397C2×D83semidirect
959. #397C2×D83semidirect
960. #397C2×D83semidirect
961. #397C2×D83semidirect
979. #394C2×D83semidirect
980. #394C2×D83semidirect
981. #394C2×D83semidirect
982. #394C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157582
#249157442
#249153192
#249151862
#249147922
#249147452
#249147242
#249146792
#249145682
#249141972
#249141962
#249141442
#249141082
#249140452
#249139042
#249137362
#249137222
#249137052
#249131972
#249126892
#249124272
#249110982
#249110032
#249109972
#249109292
#249109232
#249108182
#249101642
#249100912
C2×#191275772
C83×#26222
#3679483