Finite Group Databasebeta

← #35613217

Subgroups — #35613217

Order 21248.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 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#24915324C211yesmaximal, characteristic, complemented
4#24915214C211yesmaximal, characteristic, complemented
5#24915158C211yesmaximal, characteristic, complemented
6#24915106C211yesmaximal, characteristic, complemented
7#24915084C211yesmaximal, characteristic, complemented
8#24914715C211yesmaximal, characteristic, complemented
9#24914708C211yesmaximal, characteristic, complemented
10#24914633C211yesmaximal, characteristic, complemented
11#24914254C211yesmaximal, characteristic, complemented
12#24914200C211yesmaximal, characteristic, complemented
13#24914184C211yesmaximal, characteristic, complemented
14#24914181C211yesmaximal, characteristic, complemented
15#24914003C211yesmaximal, characteristic, complemented
16#24913874C211yesmaximal, characteristic, complemented
17#24913829C211yesmaximal, characteristic, complemented
18#24913417C211yesmaximal, characteristic, complemented
19#24913392C211yesmaximal, characteristic, complemented
20#24911717C211yesmaximal, characteristic, complemented
21#24911592C211yesmaximal, characteristic, complemented
22#24911197C211yesmaximal, characteristic, complemented
23#24911136C211yesmaximal, characteristic, complemented
24#24911076C211yesmaximal, characteristic, complemented
25#24910998C211yesmaximal, characteristic, complemented
26#24910845C211yesmaximal, characteristic, complemented
27#24910783C211yesmaximal, characteristic, complemented
28#24910130C211yesmaximal, characteristic, complemented
29#24910054C211yesmaximal, characteristic, complemented
30#385×D83C211yesmaximal, characteristic, complemented
31C83×#2804C211yesmaximal, characteristic, complemented
32C22×#13050591C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C2×#14581787C2211yescharacteristic, complemented
35C2×#14581781C2211yescharacteristic
36C2×#14581777C2211yescharacteristic
37C2×#14581777C2211yescharacteristic
38C2×#14581775C2211yescharacteristic, complemented
39C2×#14581774C2211yescharacteristic
40C2×#14581768C2211yescharacteristic
41C2×#14581766C2211yescharacteristic
42C2×#14581765C2211yescharacteristic
43C2×#14581765C2211yescharacteristic
44C2×#14581765C2211yescharacteristic
45C2×#14581764C2211yescharacteristic
46C2×#14581762C2211yescharacteristic
47C2×#14581762C2211yescharacteristic
48C2×#14581760C2211yescharacteristic
49C2×C4×C22⋊D83C2211yescharacteristic
50C2×#14581749C2211yescharacteristic
51C2×C4⋊C4×D83C2211yescharacteristic
52C2×C4⋊C4×D83C2211yescharacteristic
53C2×C22⋊C4×D83C2211yescharacteristic
54C2×C22⋊C4×D83C2211yescharacteristic
55C83⋊#401C2211yescharacteristic, complemented
56#19127642C2211yescharacteristic, complemented
57#19127642C2211yescharacteristic, complemented
58#19127642C2211yescharacteristic, complemented
59#19127642C2211yescharacteristic, complemented
60#19127642C2211yescharacteristic, complemented
61#19127641C2211yescharacteristic, complemented
62#19127636C2211yescharacteristic, complemented
63#19127635C2211yescharacteristic, complemented
64#19127635C2211yescharacteristic, complemented
65#19127631C2211yescharacteristic, complemented
66#19127630C2211yescharacteristic
67#19127630C2211yescharacteristic, complemented
68#19127630C2211yescharacteristic, complemented
69#19127629C2211yescharacteristic, complemented
70#19127628C2211yescharacteristic, complemented
71#19127627C2211yescharacteristic, complemented
72#19127627C2211yescharacteristic, complemented
73#19127626C2211yescharacteristic, complemented
74#19127625C2211yescharacteristic, complemented
75#19127624C2211yescharacteristic
76#19127624C2211yescharacteristic
77#19127623C2211yescharacteristic
78#19127623C2211yescharacteristic, complemented
79#19127620C2211yescharacteristic, complemented
80#19127620C2211yescharacteristic, complemented
81#19127619C2211yescharacteristic
82#19127619C2211yescharacteristic
83#19127619C2211yescharacteristic, complemented
84#19127617C2211yescharacteristic
85#19127617C2211yescharacteristic, complemented
86#19127616C2211yescharacteristic
87#19127616C2211yescharacteristic
88#19127616C2211yescharacteristic, complemented
89#19127616C2211yescharacteristic, complemented
90#19127615C2211yescharacteristic
91#19127612C2211yescharacteristic
92#19127612C2211yescharacteristic, complemented
93#19127611C2211yescharacteristic
94#19127610C2211yescharacteristic
95#19127610C2211yescharacteristic, complemented
96#19127609C2211yescharacteristic
97#19127608C2211yescharacteristic, complemented
98#19127603C2211yescharacteristic, complemented
99#19127602C2211yescharacteristic, complemented
100#19127601C2211yescharacteristic
101#19127601C2211yescharacteristic
102#19127601C2211yescharacteristic
103#19127598C2211yescharacteristic, complemented
104#19127598C2211yescharacteristic, complemented
105#19127597C2211yescharacteristic, complemented
106#19127595C2211yescharacteristic
107#19127595C2211yescharacteristic
108#19127594C2211yescharacteristic, complemented
109#19127593C2211yescharacteristic
110#19127592C2211yescharacteristic
111#19127591C2211yescharacteristic, complemented
112#19127590C2211yescharacteristic
113#19127590C2211yescharacteristic, complemented
114#19127589C2211yescharacteristic, complemented
115#19127588C2211yescharacteristic, complemented
116#19127586C2211yescharacteristic, complemented
117#19127586C2211yescharacteristic, complemented
118#19127585C2211yescharacteristic, complemented
119#19127583C2211yescharacteristic, complemented
120#19127583C2211yescharacteristic, complemented
121#19127582C2211yescharacteristic, complemented
122#19127580C2211yescharacteristic
123#19127580C2211yescharacteristic
124#19127579C2211yescharacteristic
125#19127579C2211yescharacteristic
126#19127579C2211yescharacteristic
127#19127579C2211yescharacteristic
128#19127579C2211yescharacteristic
129#19127579C2211yescharacteristic
130#19127579C2211yescharacteristic
131#19127579C2211yescharacteristic
132#19127579C2211yescharacteristic
133#19127579C2211yescharacteristic
134#19127579C2211yescharacteristic
135#19127578C2211yescharacteristic
136#19127577C2211yescharacteristic
137#19127577C2211yescharacteristic
138#19127577C2211yescharacteristic
139#19127577C2211yescharacteristic
140#19127577C2211yescharacteristic
141#19127577C2211yescharacteristic, complemented
142#19127577C2211yescharacteristic, complemented
143#19127576C2211yescharacteristic
144#19127575C2211yescharacteristic
145#19127575C2211yescharacteristic
146#19127575C2211yescharacteristic
147#19127575C2211yescharacteristic, complemented
148#19127575C2211yescharacteristic, complemented
149#19127574C2211yescharacteristic
150#19127574C2211yescharacteristic, complemented
151#19127573C2211yescharacteristic
152#19127573C2211yescharacteristic
153#19127572C2211yescharacteristic
154#19127572C2211yescharacteristic
155#19127572C2211yescharacteristic
156#19127572C2211yescharacteristic
157#19127572C2211yescharacteristic
158#19127563C2211yescharacteristic
159#19127563C2211yescharacteristic
160#19127563C2211yescharacteristic
161#19127560C2211yescharacteristic
162#19127560C2211yescharacteristic
163#19127560C2211yescharacteristic, complemented
164#19127560C2211yescharacteristic, complemented
165#19127560C2211yescharacteristic, complemented
166#19127560C2211yescharacteristic, complemented
167#19127559C2211yescharacteristic
168#19127556C2211yescharacteristic
169#19127548C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172#400×C83C2211yescharacteristic, complemented
173#400×C83C2211yescharacteristic, complemented
174#393×C83C2211yescharacteristic
175#393×C83C2211yescharacteristic
176#393×C83C2211yescharacteristic, complemented
177#393×C83C2211yescharacteristic, complemented
178#391×C83C2211yescharacteristic, complemented
179#391×C83C2211yescharacteristic, complemented
180#390×C83C2211yescharacteristic
181#386×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#385×C83C2211yescharacteristic
184#385×C83C2211yescharacteristic
185#385×C83C2211yescharacteristic, complemented
186#385×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C2×#13050591—24no—
189C2×#13050591—42no—
190C2×#13050591—42no—
191C22×D332C2311yescharacteristic
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
202C23×Dic83C2311yescharacteristic
203C22×C4×D83—42no—
204C22×C4×D83—42no—
205C22×C4×D83—42no—
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216#14581787—42no—
217#14581781—42no—
218#14581777—42no—
219#14581777—42no—
220#14581775—42no—
221#14581774—24no—
222#14581768—42no—
223#14581766—42no—
224#14581765—42no—
225#14581765—42no—
226#14581765—42no—
227#14581764—42no—
228#14581762—42no—
229#14581762—42no—
230#14581760—42no—
231C4×C22⋊D83—42no—
232#14581749—42no—
233C2×C4⋊Dic83C2311yescharacteristic
234C2×C4⋊Dic83C2311yescharacteristic
235C2×C4⋊Dic83C2311yescharacteristic
236C2×C4⋊Dic83C2311yescharacteristic
237C2×C4⋊Dic83C2311yescharacteristic
238C2×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C2×Dic83⋊C4C2311yescharacteristic
241C2×Dic83⋊C4C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C4⋊C4×D83—42no—
257C4⋊C4×D83—42no—
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
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
298C22⋊C4×D83—24no—
299C22⋊C4×D83—42no—
300C2×C4×Dic83C2311yescharacteristic
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
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
334C22×Q8×C83C2311yescharacteristic
335C22×Q8×C83C2311yescharacteristic
336C22×D4×C83C2311yescharacteristic
337C23×C4×C83C2311yescharacteristic
338C23×C4×C83C2311yescharacteristic
339C2×C4⋊C4×C83C2311yescharacteristic
340C2×C4⋊C4×C83C2311yescharacteristic
341C2×C4⋊C4×C83C2311yescharacteristic
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C22⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C42×C83C2311yescharacteristic
355#95×C83C2311yescharacteristic
356#95×C83C2311yescharacteristic
357#95×C83C2311yescharacteristic
358#95×C83C2311yescharacteristic
359#95×C83C2311yescharacteristic
360#95×C83C2311yescharacteristic
361#95×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369C23×D83—22no—
370C23×D83—22no—
371C23×D83—22no—
372C23×D83—22no—
373C23×D83—22no—
374C23×D83—41no—
375C23×D83—41no—
376C23×D83C2411yescharacteristic
377C23×D83C2411yescharacteristic
378C23×D83C2411yescharacteristic
379C23×D83C2411yescharacteristic
380#13050591—416no—
381C2×D332—22no—
382C2×D332—22no—
383C2×D332—22no—
384C2×D332—22no—
385C2×D332—22no—
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×C22⋊D83—22no—
397C2×C22⋊D83—22no—
398C2×C22⋊D83—22no—
399C2×C22⋊D83—22no—
400C2×C22⋊D83—22no—
401C2×C22⋊D83—22no—
402C2×C22⋊D83—22no—
403C2×C22⋊D83—41no—
404C2×C22⋊D83—41no—
405C2×C22⋊D83—41no—
406C2×C22⋊D83—41no—
407C2×C22⋊D83—41no—
408C2×C22⋊D83—41no—
409C2×C22⋊D83—41no—
410C2×C22⋊D83—41no—
411C2×C22⋊D83—41no—
412C2×C22⋊D83—41no—
413C2×C22⋊D83—41no—
414C22×Dic83—22no—
415C22×Dic83—41no—
416C22×Dic83—41no—
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C2×C4×D83—22no—
430C2×C4×D83—22no—
431C2×C4×D83—22no—
432C2×C4×D83—22no—
433C2×C4×D83—22no—
434C2×C4×D83—22no—
435C2×C4×D83—22no—
436C2×C4×D83—22no—
437C2×C4×D83—22no—
438C2×C4×D83—22no—
439C2×C4×D83—22no—
440C2×C4×D83—22no—
441C2×C4×D83—22no—
442C2×C4×D83—41no—
443C2×C4×D83—41no—
444C2×C4×D83—41no—
445C2×C4×D83—41no—
446C2×C4×D83—41no—
447C2×C4×D83—41no—
448C2×C4×D83—41no—
449C2×C4×D83—41no—
450C2×C4×D83—41no—
451C2×C4×D83—41no—
452C2×C4×D83—41no—
453C2×C4×D83—41no—
454C2×C4×D83—416no—
455C2×C4×D83—41no—
456C2×C4×D83—41no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83#4114yes—
460C4⋊Dic83—22no—
461C4⋊Dic83—22no—
462C4⋊Dic83—41no—
463C4⋊Dic83—41no—
464C4⋊Dic83—41no—
465Dic83⋊C4—22no—
466Dic83⋊C4—22no—
467Dic83⋊C4—22no—
468Dic83⋊C4—22no—
469Dic83⋊C4—41no—
470Dic83⋊C4—41no—
471Dic83⋊C4—41no—
472Dic83⋊C4—41no—
473Dic83⋊C4—41no—
474Dic83⋊C4—41no—
475Dic83⋊C4—41no—
476Dic83⋊C4—41no—
477Dic83⋊C4—41no—
478Dic83⋊C4—41no—
479Dic83⋊C4—41no—
480Dic83⋊C4—41no—
481Dic83⋊C4—41no—
482Dic83⋊C4—41no—
483C22⋊Dic83—22no—
484C22⋊Dic83—22no—
485C22⋊Dic83—22no—
486C22⋊Dic83—41no—
487C22⋊Dic83—41no—
488C22⋊Dic83—41no—
489C22⋊Dic83—41no—
490C22⋊Dic83—41no—
491(C2×D83)⋊C4—22no—
492(C2×D83)⋊C4—22no—
493(C2×D83)⋊C4—22no—
494(C2×D83)⋊C4—22no—
495(C2×D83)⋊C4—22no—
496(C2×D83)⋊C4—22no—
497(C2×D83)⋊C4—22no—
498(C2×D83)⋊C4—22no—
499(C2×D83)⋊C4—22no—
500(C2×D83)⋊C4—22no—
501(C2×D83)⋊C4—22no—
502(C2×D83)⋊C4—41no—
503(C2×D83)⋊C4—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508(C2×D83)⋊C4—41no—
509(C2×D83)⋊C4—41no—
510(C2×D83)⋊C4—41no—
511(C2×D83)⋊C4—41no—
512(C2×D83)⋊C4—41no—
513(C2×D83)⋊C4—41no—
514(C2×D83)⋊C4—41no—
515(C2×D83)⋊C4—41no—
516(C2×D83)⋊C4—41no—
517(C2×D83)⋊C4—41no—
518(C2×D83)⋊C4—41no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4—41no—
521(C2×D83)⋊C4—41no—
522(C2×D83)⋊C4—41no—
523C4×Dic83—41no—
524C4×Dic83—41no—
525C4×Dic83—41no—
526C4×Dic83—41no—
527C24×C83C2411yescharacteristic
528C24×C83C2411yescharacteristic
529C2×Q8×C83—22no—
530C2×Q8×C83—41no—
531C2×Q8×C83—41no—
532C2×Q8×C83—41no—
533C2×Q8×C83—41no—
534C2×Q8×C83—41no—
535C2×D4×C83—22no—
536C2×D4×C83—41no—
537C2×D4×C83—41no—
538C22×C4×C83—41no—
539C22×C4×C83—41no—
540C22×C4×C83—41no—
541C22×C4×C83—41no—
542C22×C4×C83—41no—
543C22×C4×C83—41no—
544C22×C4×C83C2411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549C22×C4×C83C2411yescharacteristic
550C22×C4×C83C2411yescharacteristic
551C22×C4×C83C2411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C4⋊C4×C83—41no—
558C4⋊C4×C83—41no—
559C4⋊C4×C83—41no—
560C4⋊C4×C83—41no—
561C4⋊C4×C83—41no—
562C22⋊C4×C83—22no—
563C22⋊C4×C83—22no—
564C22⋊C4×C83—41no—
565C22⋊C4×C83—41no—
566C22⋊C4×C83—41no—
567C22⋊C4×C83—41no—
568C22⋊C4×C83—41no—
569C22⋊C4×C83—41no—
570C22⋊C4×C83—41no—
571C22⋊C4×C83—41no—
572C42×C83—41no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—21no—
577C23×C83—21no—
578C23×C83—21no—
579C23×C83—21no—
580C23×C83—21no—
581C23×C83—21no—
582C23×C83—21no—
583C23×C83—21no—
584C23×C83—21no—
585C23×C83—21no—
586C23×C832−1+412yes—
587C23×C83C2511yescharacteristic
588C22×D83—21no—
589C22×D83—21no—
590C22×D83—21no—
591C22×D83—21no—
592C22×D83—28no—
593C22×D83—21no—
594C22×D83—21no—
595C22×D83—21no—
596C22×D83—21no—
597C22×D83—21no—
598C22×D83—21no—
599C22×D83—21no—
600C22×D83—21no—
601C22×D83—21no—
602C22×D83—21no—
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—21no—
606C22×D83—21no—
607C22×D83—21no—
608C22×D83—21no—
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—44no—
614C22×D83—44no—
615C22×D83—44no—
616C22×D83—44no—
617C22×D83—44no—
618C22×D83—44no—
619C22×D83C2×#4112yes—
620C22×D83H(5,𝔽2)12yes—
621C22×D83H(5,𝔽2)12yes—
622C22×D83H(5,𝔽2)12yes—
623Q8×C83—44no—
624Q8×C83—82no—
625D4×C83—82no—
626C2×C4×C83—21no—
627C2×C4×C83—21no—
628C2×C4×C83—21no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—21no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—44no—
665C2×C4×C83—82no—
666C2×C4×C83C2×#4112yes—
667C22⋊D83—44no—
668C22⋊D83—82no—
669C22⋊D83—82no—
670C22⋊D83—82no—
671C22⋊D83—82no—
672C22⋊D83—82no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—44no—
708C2×Dic83C2×#4112yes—
709C2×Dic83H(5,𝔽2)12yes—
710D332—44no—
711D332—44no—
712D332—44no—
713D332—82no—
714D332—82no—
715C4×D83—28no—
716C4×D83—44no—
717C4×D83—44no—
718C4×D83—44no—
719C4×D83—44no—
720C4×D83—44no—
721C4×D83—44no—
722C4×D83—44no—
723C4×D83—82no—
724C4×D83—82no—
725C22×C83—22no—
726C22×C83—22no—
727C22×C83—22no—
728C22×C83—41no—
729C22×C83—41no—
730C22×C83—41no—
731C22×C83—41no—
732C22×C83—41no—
733C22×C83—41no—
734C22×C83—41no—
735C22×C83—41no—
736C22×C83—41no—
737C22×C83—41no—
738C22×C83—41no—
739C22×C83C22×#4111yescharacteristic
740C22×C83C2×H(5,𝔽2)11yescharacteristic
741C22×C83C2×H(5,𝔽2)11yescharacteristic
742C22×C83C2×H(5,𝔽2)11yescharacteristic
743C22×C83C2×H(5,𝔽2)11yescharacteristic
744C22×C83C2×2−1+411yescharacteristic
745C22×C83#58511yescharacteristic
746C2×D83—22no—
747C2×D83—22no—
748C2×D83—22no—
749C2×D83—22no—
750C2×D83—22no—
751C2×D83—22no—
752C2×D83—22no—
753C2×D83—22no—
754C2×D83—22no—
755C2×D83—416no—
756C2×D83—41no—
757C2×D83—41no—
758C2×D83—41no—
759C2×D83—41no—
760C2×D83—41no—
761C2×D83—41no—
762C2×D83—41no—
763C2×D83—41no—
764C2×D83—41no—
765C2×D83—41no—
766C2×D83—41no—
767C2×D83—41no—
768C2×D83—41no—
769C2×D83—41no—
770C2×D83—41no—
771C2×D83—41no—
772C2×D83—41no—
773C2×D83—41no—
774C2×D83#53814yes—
775C4×C83—22no—
776C4×C83—41no—
777C4×C83—41no—
778C4×C83—41no—
779C4×C83—41no—
780C4×C83—41no—
781C4×C83—41no—
782C4×C83—41no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786C4×C83—41no—
787C4×C83—41no—
788Dic83—22no—
789Dic83—22no—
790Dic83—41no—
791Dic83—41no—
792Dic83—41no—
793Dic83—41no—
794Dic83—41no—
795Dic83—41no—
796Dic83—41no—
797Dic83—41no—
798Dic83—41no—
799Dic83—41no—
800#36791—831nomaximal, Sylow
801C2×C83—42no—
802C2×C83—81no—
803C2×C83C2×#53811yescharacteristic
804C2×C83#349211yescharacteristic
805C2×C83#350611yescharacteristic
806C2×C83#353211yescharacteristic
807C2×C83#353411yescharacteristic
808C2×C83#353511yescharacteristic
809C2×C83#353611yescharacteristic
810D83—24no—
811D83—42no—
812D83—81no—
813D83—81no—
814#2849—831no—
815#2847—831no—
816#2804D8311yescharacteristic, complemented
817#2797—831no—
818#2788—831no—
819#2784—831no—
820#2780—831no—
821#2778—831no—
822#2751—831no—
823#2750—831no—
824#2745—831no—
825#2714—831no—
826#2710—831no—
827#2708—831no—
828#2708—831no—
829#2695—831no—
830#2686—831no—
831#2682—831no—
832#2643—831no—
833#2639—831no—
834#2481—831no—
835#2472—831no—
836#2443—831no—
837#2438—831no—
838#2430—831no—
839#2424—831no—
840#2411—831no—
841#2404—831no—
842#2322—831no—
843#2311—831no—
844C2×#385—831no—
845C83#3679111yescharacteristic, complemented, Sylow
846C22×#41—831no—
847C24×C4—831no—
848C2×#126—831no—
849C2×#124—831no—
850C2×#123—831no—
851C2×#123—831no—
852C2×#123—831no—
853C2×#123—831no—
854C2×C22⋊Q8—831no—
855C2×#121—831no—
856C2×#121—831no—
857C2×#121—831no—
858C2×#121—831no—
859C2×#121—831no—
860C2×#120—831no—
861C2×#120—831no—
862C2×#120—831no—
863C2×C4×D4—831no—
864C2×#117—831no—
865C22×C4⋊C4—831no—
866C22×C4⋊C4—831no—
867C22×C22⋊C4—831no—
868C22×C22⋊C4—831no—
869#401—831no—
870#400—831no—
871#400—831no—
872#400—831no—
873#400—831no—
874#400—831no—
875#400—831no—
876#400C2×D8311yescharacteristic, complemented
877#400C2×D8311yescharacteristic, complemented
878#399—831no—
879#398—831no—
880#398—831no—
881#398—831no—
882#397—831no—
883#397—831no—
884#397—831no—
885#397—831no—
886#397—831no—
887#397—831no—
888#397—831no—
889#397—831no—
890#396—831no—
891#396—831no—
892#396—831no—
893#396—831no—
894#396—831no—
895#395—831no—
896#395—831no—
897#394—831no—
898#394—831no—
899#394—831no—
900#394—831no—
901#394—831no—
902#394—831no—
903#394—831no—
904#394—831no—
905#394—831no—
906#394—831no—
907#393—831no—
908#393—831no—
909#393C2×D8311yescharacteristic
910#393C2×D8311yescharacteristic
911#393C2×D8311yescharacteristic, complemented
912#393C2×D8311yescharacteristic, complemented
913#392—831no—
914#392—831no—
915#392—831no—
916#392—831no—
917#391—831no—
918#391C2×D8311yescharacteristic, complemented
919#391C2×D8311yescharacteristic, complemented
920#390—831no—
921#390—831no—
922#390—831no—
923#390—831no—
924#390—831no—
925#390C2×D8311yescharacteristic
926#389—831no—
927#389—831no—
928#389—831no—
929#388—831no—
930#388—831no—
931#388—831no—
932#388—831no—
933#388—831no—
934#388—831no—
935#388—831no—
936#388—831no—
937#388—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#387—831no—
943#387—831no—
944#387—831no—
945#386—831no—
946#386—831no—
947#386—831no—
948#386—831no—
949#386—831no—
950#386—831no—
951#386—831no—
952#386—831no—
953#386—831no—
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#386—831no—
962#386—831no—
963#386—831no—
964#386—831no—
965#386—831no—
966#386C2×D8311yescharacteristic
967#386C2×D8311yescharacteristic
968#385—831no—
969#385—831no—
970#385—831no—
971#385—831no—
972#385—831no—
973#385—831no—
974#385—831no—
975#385—831no—
976#385—831no—
977#385—831no—
978#385—831no—
979#385—831no—
980#385—831no—
981#385—831no—
982#385—831no—
983#385C2×D8311yescharacteristic
984#385C2×D8311yescharacteristic
985#385C2×D8311yescharacteristic, complemented
986#385C2×D8311yescharacteristic, complemented
987#381—831no—
988#381—831no—
989#381—831no—
990#380—831no—
991#380—831no—
992#380—831no—
993#380—831no—
994#380—831no—
995#380—831no—
996#380—831no—
997#379—831no—
998C4×C22⋊C4—831no—
999C2×#95—831no—
1000C2×#95—831no—
1001C25—831no—
1002C2×#41—3322no—
1003C2×#41—3322no—
1004C2×#41—1664no—
1005C22×Q8C22×D8311yescharacteristic
1006C22×Q8C22×D8311yescharacteristic
1007C22×D4—831no—
1008C22×D4—831no—
1009C22×D4—831no—
1010C22×D4—831no—
1011C22×D4—831no—
1012C22×D4—831no—
1013C22×D4—831no—
1014C22×D4—831no—
1015C22×D4—831no—
1016C22×D4—831no—
1017C22×D4—831no—
1018C22×D4C22×D8311yescharacteristic
1019C23×C4—3322no—
1020C23×C4—3322no—
1021C23×C4—3322no—
1022C23×C4—831no—
1023C23×C4—831no—
1024C23×C4—831no—
1025C23×C4—831no—
1026C23×C4—831no—
1027C23×C4—831no—
1028C23×C4—831no—
1029C23×C4—831no—
1030C23×C4—831no—
1031C23×C4—831no—
1032C23×C4—831no—
1033C23×C4C22×D8311yescharacteristic
1034C23×C4C22×D8311yescharacteristic
1035#126—3322no—
1036#124—3322no—
1037#123—3322no—
1038#123—3322no—
1039#123—3322no—
1040#123—1664no—
1041C22⋊Q8—3322no—
1042#121—3322no—
1043#121—3322no—
1044#121—3322no—
1045#121—3322no—
1046#121—3322no—
1047#120—3322no—
1048#120—3322no—
1049#120—3322no—
1050C4×D4—3322no—
1051#117—3322no—
1052C2×C4⋊C4—3322no—
1053C2×C4⋊C4—3322no—
1054C2×C4⋊C4—831no—
1055C2×C4⋊C4—831no—
1056C2×C4⋊C4—831no—
1057C2×C4⋊C4—831no—
1058C2×C4⋊C4—831no—
1059C2×C4⋊C4—831no—
1060C2×C4⋊C4—831no—
1061C2×C4⋊C4—831no—
1062C2×C4⋊C4—831no—
1063C2×C4⋊C4—831no—
1064C2×C4⋊C4—831no—
1065C2×C4⋊C4—831no—
1066C2×C4⋊C4—831no—
1067C2×C4⋊C4—831no—
1068C2×C4⋊C4—831no—
1069C2×C4⋊C4—831no—
1070C2×C4⋊C4—831no—
1071C2×C4⋊C4—831no—
1072C2×C4⋊C4—831no—
1073C2×C4⋊C4—831no—
1074C2×C4⋊C4—831no—
1075C2×C4⋊C4—831no—
1076C2×C4⋊C4—831no—
1077C2×C4⋊C4C22×D8311yescharacteristic
1078C2×C4⋊C4C22×D8311yescharacteristic
1079C2×C4⋊C4C22×D8311yescharacteristic
1080C2×C4⋊C4C22×D8311yescharacteristic
1081C2×C4⋊C4C22×D8311yescharacteristic
1082C2×C22⋊C4—3322no—
1083C2×C22⋊C4—831no—
1084C2×C22⋊C4—831no—
1085C2×C22⋊C4—831no—
1086C2×C22⋊C4—831no—
1087C2×C22⋊C4—831no—
1088C2×C22⋊C4—831no—
1089C2×C22⋊C4—831no—
1090C2×C22⋊C4—831no—
1091C2×C22⋊C4—831no—
1092C2×C22⋊C4—831no—
1093C2×C22⋊C4—831no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊C4—831no—
1099C2×C22⋊C4—831no—
1100C2×C22⋊C4—831no—
1101C2×C22⋊C4—831no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—1664no—
1124C2×C22⋊C4C22×D8311yescharacteristic
1125C2×C22⋊C4C22×D8311yescharacteristic
1126C2×C22⋊C4C22×D8311yescharacteristic
1127C2×C22⋊C4C22×D8311yescharacteristic
1128C2×C22⋊C4C22×D8311yescharacteristic
1129C2×C22⋊C4C22×D8311yescharacteristic
1130C2×C22⋊C4C22×D8311yescharacteristic
1131C2×C22⋊C4C22×D8311yescharacteristic
1132C2×C22⋊C4C22×D8311yescharacteristic
1133C2×C22⋊C4C22×D8311yescharacteristic
1134C2×C42—831no—
1135C2×C42—831no—
1136C2×C42—831no—
1137C2×C42—831no—
1138C2×C42C22×D8311yescharacteristic
1139#95—831no—
1140#95—831no—
1141#95—831no—
1142#95—831no—
1143#95—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95—831no—
1149#95—831no—
1150#95—831no—
1151#95—831no—
1152#95—831no—
1153#95—831no—
1154#95—831no—
1155#95—831no—
1156#95—831no—
1157#95—831no—
1158#95—831no—
1159#95—831no—
1160#95—831no—
1161#95—831no—
1162#95—831no—
1163#95—831no—
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
1168#95—831no—
1169#95C22×D8311yescharacteristic
1170#95C22×D8311yescharacteristic
1171#95C22×D8311yescharacteristic
1172#95C22×D8311yescharacteristic
1173#95C22×D8311yescharacteristic
1174#95C22×D8311yescharacteristic
1175#95C22×D8311yescharacteristic
1176#95C22×D8311yescharacteristic
1177#95C22×D8311yescharacteristic
1178#95C22×D8311yescharacteristic
1179#95C22×D8311yescharacteristic
1180#95C22×D8311yescharacteristic
1181#95C22×D8311yescharacteristic
1182#95C22×D8311yescharacteristic
1183C24—3321no—
1184C24—3321no—
1185C24—831no—
1186C24—831no—
1187C24—831no—
1188C24—831no—
1189C24—1662no—
1190C24—1662no—
1191C24—1662no—
1192C24—1662no—
1193C24—1662no—
1194C24C23×D8311yescharacteristic
1195C24C23×D8311yescharacteristic
1196#41—33216no—
1197C2×Q8—22no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×Q8—41no—
1202C2×Q8—41no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—3321no—
1207C2×D4—3321no—
1208C2×D4—3321no—
1209C2×D4—3321no—
1210C2×D4—3321no—
1211C2×D4—3321no—
1212C2×D4—3321no—
1213C2×D4—3321no—
1214C2×D4—3321no—
1215C2×D4—3321no—
1216C2×D4—3321no—
1217C2×D4—3321no—
1218C2×D4—3321no—
1219C2×D4—3321no—
1220C2×D4—3321no—
1221C2×D4—3321no—
1222C2×D4—3321no—
1223C2×D4—1662no—
1224C2×D4—1662no—
1225C2×D4—1662no—
1226C2×D4—1662no—
1227C2×D4—1662no—
1228C2×D4—1662no—
1229C2×D4—1662no—
1230C2×D4—1662no—
1231C2×D4—1662no—
1232C2×D4—1662no—
1233C2×D4—1662no—
1234C2×D4—1662no—
1235C2×D4—1662no—
1236C2×D4—1662no—
1237C2×D4—1662no—
1238C2×D4—1662no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—3321no—
1246C22×C4—3321no—
1247C22×C4—3321no—
1248C22×C4—3321no—
1249C22×C4—3321no—
1250C22×C4—3321no—
1251C22×C4—3321no—
1252C22×C4—3321no—
1253C22×C4—3321no—
1254C22×C4—3321no—
1255C22×C4—3321no—
1256C22×C4—3321no—
1257C22×C4—3321no—
1258C22×C4—3321no—
1259C22×C4—3321no—
1260C22×C4—3321no—
1261C22×C4—33216no—
1262C22×C4—3321no—
1263C22×C4—3321no—
1264C22×C4—831no—
1265C22×C4—831no—
1266C22×C4—834no—
1267C22×C4—831no—
1268C22×C4—831no—
1269C22×C4—831no—
1270C22×C4—831no—
1271C22×C4—831no—
1272C22×C4—831no—
1273C22×C4—831no—
1274C22×C4—831no—
1275C22×C4—831no—
1276C22×C4—831no—
1277C22×C4—1662no—
1278C22×C4—1662no—
1279C22×C4—1662no—
1280C22×C4—1662no—
1281C22×C4—1662no—
1282C22×C4—1662no—
1283C22×C4—1662no—
1284C22×C4—1662no—
1285C22×C4—1662no—
1286C22×C4—1662no—
1287C22×C4—1662no—
1288C22×C4—1662no—
1289C22×C4—1662no—
1290C22×C4—1662no—
1291C22×C4C23×D8311yescharacteristic
1292C22×C4C23×D8311yescharacteristic
1293C22×C4C23×D8311yescharacteristic
1294C22×C4C23×D8311yescharacteristic
1295C22×C4C23×D8311yescharacteristic
1296C22×C4C23×D8311yescharacteristic
1297C22×C4C23×D8311yescharacteristic
1298C22×C4C23×D8311yescharacteristic
1299C22×C4C23×D8311yescharacteristic
1300C22×C4C23×D8311yescharacteristic
1301C22×C4C23×D8311yescharacteristic
1302C22×C4C23×D8311yescharacteristic
1303C22×C4C23×D8311yescharacteristic
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—3321no—
1310C4⋊C4—3321no—
1311C4⋊C4—3321no—
1312C4⋊C4—3321no—
1313C4⋊C4—3321no—
1314C4⋊C4—3321no—
1315C4⋊C4—3321no—
1316C4⋊C4—3321no—
1317C4⋊C4—3321no—
1318C4⋊C4—3321no—
1319C4⋊C4—3321no—
1320C4⋊C4—3321no—
1321C4⋊C4—3321no—
1322C4⋊C4—3321no—
1323C4⋊C4—3321no—
1324C4⋊C4—3321no—
1325C4⋊C4—3321no—
1326C4⋊C4—1662no—
1327C4⋊C4—1662no—
1328C4⋊C4—1662no—
1329C4⋊C4—1662no—
1330C4⋊C4—1662no—
1331C4⋊C4—1662no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—3321no—
1343C22⋊C4—3321no—
1344C22⋊C4—3321no—
1345C22⋊C4—3321no—
1346C22⋊C4—3321no—
1347C22⋊C4—3321no—
1348C22⋊C4—3321no—
1349C22⋊C4—3321no—
1350C22⋊C4—3321no—
1351C22⋊C4—3321no—
1352C22⋊C4—3321no—
1353C22⋊C4—3321no—
1354C22⋊C4—3321no—
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—1662no—
1369C22⋊C4—1662no—
1370C22⋊C4—1662no—
1371C22⋊C4—1662no—
1372C22⋊C4—1662no—
1373C22⋊C4—1662no—
1374C22⋊C4—1662no—
1375C22⋊C4—1662no—
1376C22⋊C4—1662no—
1377C22⋊C4—1662no—
1378C22⋊C4—1662no—
1379C22⋊C4—1662no—
1380C22⋊C4—1662no—
1381C22⋊C4—1662no—
1382C42—41no—
1383C42—3321no—
1384C42—3321no—
1385C42—3321no—
1386C42—3321no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—3324no—
1401C23—3324no—
1402C23—3324no—
1403C23—3324no—
1404C23—3324no—
1405C23—3324no—
1406C23—832no—
1407C23—832no—
1408C23—832no—
1409C23—832no—
1410C23—1668no—
1411C23—1661no—
1412C23—1661no—
1413C23—1661no—
1414C23—1661no—
1415C23—1661no—
1416C23—1661no—
1417C23—1661no—
1418C23—1661no—
1419C23—1661no—
1420C23—1661no—
1421C23—1661no—
1422C23—1661no—
1423C23—1661no—
1424C23—1661no—
1425C23—1661no—
1426C23—1661no—
1427C23—1661no—
1428C23—1661no—
1429C23—1661no—
1430C23—1661no—
1431C23—1661no—
1432C23—1661no—
1433C23—1661no—
1434C23—1661no—
1435C23#1458184012yes—
1436C23C24×D8311yescharacteristic
1437Q8—44no—
1438Q8—82no—
1439D4—82no—
1440D4—3324no—
1441D4—3324no—
1442D4—3324no—
1443D4—3324no—
1444D4—6642no—
1445D4—6642no—
1446D4—6642no—
1447D4—6642no—
1448D4—6642no—
1449D4—6642no—
1450D4—6642no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—44no—
1490C2×C4—82no—
1491C2×C4—3324no—
1492C2×C4—3324no—
1493C2×C4—3324no—
1494C2×C4—3324no—
1495C2×C4—3324no—
1496C2×C4—3324no—
1497C2×C4—3324no—
1498C2×C4—3324no—
1499C2×C4—832no—
1500C2×C4—832no—
1501C2×C4—6642no—
1502C2×C4—6642no—
1503C2×C4—1668no—
1504C2×C4—1661no—
1505C2×C4—1661no—
1506C2×C4—1661no—
1507C2×C4—1661no—
1508C2×C4—1661no—
1509C2×C4—1661no—
1510C2×C4—1661no—
1511C2×C4—1661no—
1512C2×C4—1661no—
1513C2×C4—1661no—
1514C2×C4—1661no—
1515C2×C4—1661no—
1516C2×C4—1661no—
1517C2×C4—1661no—
1518C2×C4—1661no—
1519C2×C4—1661no—
1520C2×C4—1661no—
1521C2×C4—1661no—
1522C2×C4—1661no—
1523C2×C4—1661no—
1524C2×C4—1661no—
1525C2×C4—1661no—
1526C2×C4—1661no—
1527C2×C4—1661no—
1528C2×C4—1661no—
1529C2×C4—1661no—
1530C2×C4—1661no—
1531C2×C4—1661no—
1532C2×C4—1661no—
1533C2×C4—1661no—
1534C2×C4—1661no—
1535C2×C4—1661no—
1536C2×C4—1661no—
1537C2×C4—1661no—
1538C2×C4#41×D8312yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—33216no—
1554C22—3321no—
1555C22—3321no—
1556C22—3321no—
1557C22—3321no—
1558C22—3321no—
1559C22—3321no—
1560C22—3321no—
1561C22—3321no—
1562C22—3321no—
1563C22—3321no—
1564C22—3321no—
1565C22—3321no—
1566C22—3321no—
1567C22—3321no—
1568C22—3321no—
1569C22—3321no—
1570C22—3321no—
1571C22—3321no—
1572C22—834no—
1573C22—1662no—
1574C22—1662no—
1575C22—1662no—
1576C22—1662no—
1577C22—1662no—
1578C22—1662no—
1579C22—1662no—
1580C22—1662no—
1581C22—1662no—
1582C22C2×#41×D8311yescharacteristic
1583C22H(5,𝔽2)×D8311yescharacteristic
1584C22H(5,𝔽2)×D8311yescharacteristic
1585C22H(5,𝔽2)×D8311yescharacteristic
1586C22H(5,𝔽2)×D8311yescharacteristic
1587C22C2×#1458184011yescharacteristic
1588C22#1912853711yescharacteristic
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—3321no—
1603C4—3321no—
1604C4—3321no—
1605C4—3321no—
1606C4—3321no—
1607C4—3321no—
1608C4—3321no—
1609C4—3321no—
1610C4—3321no—
1611C4—3321no—
1612C4—1662no—
1613C4—1662no—
1614C2—42no—
1615C2—81no—
1616C2—3322no—
1617C2—6641no—
1618C2—6641no—
1619C2—1664no—
1620C2#538×D8311yescharacteristic
1621C2#2492117111yescharacteristic
1622C2#2492131111yescharacteristic
1623C2#2492162011yescharacteristic
1624C2#2492165211yescharacteristic
1625C2#2492166711yescharacteristic
1626C2#2492168911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2804C2
hypercenter#2804D83
hypocenterC83#36791
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2804

Complements

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

NH ≅ G/Ntype
1. #24915758C2semidirect
2. #24915744C2semidirect
3. #24915324C2semidirect
4. #24915214C2semidirect
5. #24915158C2semidirect
6. #24915106C2semidirect
7. #24915084C2semidirect
8. #24914715C2semidirect
9. #24914708C2semidirect
10. #24914633C2semidirect
11. #24914254C2semidirect
12. #24914200C2semidirect
13. #24914184C2semidirect
14. #24914181C2semidirect
15. #24914003C2semidirect
16. #24913874C2semidirect
17. #24913829C2semidirect
18. #24913417C2semidirect
19. #24913392C2semidirect
20. #24911717C2semidirect
21. #24911592C2semidirect
22. #24911197C2semidirect
23. #24911136C2semidirect
24. #24911076C2semidirect
25. #24910998C2semidirect
26. #24910845C2semidirect
27. #24910783C2semidirect
28. #24910130C2semidirect
29. #24910054C2semidirect
30. #385×D83C2semidirect
31. C83×#2804C2semidirect
34. C2×#14581787C22semidirect
38. C2×#14581775C22semidirect
55. C83⋊#401C22semidirect
56. #19127642C22semidirect
57. #19127642C22semidirect
58. #19127642C22semidirect
59. #19127642C22semidirect
60. #19127642C22semidirect
61. #19127641C22semidirect
62. #19127636C22semidirect
63. #19127635C22semidirect
64. #19127635C22semidirect
65. #19127631C22semidirect
67. #19127630C22semidirect
68. #19127630C22semidirect
69. #19127629C22semidirect
70. #19127628C22semidirect
71. #19127627C22semidirect
72. #19127627C22semidirect
73. #19127626C22semidirect
74. #19127625C22semidirect
78. #19127623C22semidirect
79. #19127620C22semidirect
80. #19127620C22semidirect
83. #19127619C22semidirect
85. #19127617C22semidirect
88. #19127616C22semidirect
89. #19127616C22semidirect
92. #19127612C22semidirect
95. #19127610C22semidirect
97. #19127608C22semidirect
98. #19127603C22semidirect
99. #19127602C22semidirect
103. #19127598C22semidirect
104. #19127598C22semidirect
105. #19127597C22semidirect
108. #19127594C22semidirect
111. #19127591C22semidirect
113. #19127590C22semidirect
114. #19127589C22semidirect
115. #19127588C22semidirect
116. #19127586C22semidirect
117. #19127586C22semidirect
118. #19127585C22semidirect
119. #19127583C22semidirect
120. #19127583C22semidirect
121. #19127582C22semidirect
141. #19127577C22semidirect
142. #19127577C22semidirect
147. #19127575C22semidirect
148. #19127575C22semidirect
150. #19127574C22semidirect
163. #19127560C22semidirect
164. #19127560C22semidirect
165. #19127560C22semidirect
166. #19127560C22semidirect
172. #400×C83C22semidirect
173. #400×C83C22semidirect
176. #393×C83C22semidirect
177. #393×C83C22semidirect
178. #391×C83C22semidirect
179. #391×C83C22semidirect
185. #385×C83C22semidirect
186. #385×C83C22semidirect
816. #2804D83semidirect
845. C83#36791semidirect
876. #400C2×D83semidirect
877. #400C2×D83semidirect
911. #393C2×D83semidirect
912. #393C2×D83semidirect
918. #391C2×D83semidirect
919. #391C2×D83semidirect
985. #385C2×D83semidirect
986. #385C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157582
#249157442
#249153242
#249152142
#249151582
#249151062
#249150842
#249147152
#249147082
#249146332
#249142542
#249142002
#249141842
#249141812
#249140032
#249138742
#249138292
#249134172
#249133922
#249117172
#249115922
#249111972
#249111362
#249110762
#249109982
#249108452
#249107832
#249101302
#249100542
#385×D832
C83×#28042
#3679183