Finite Group Databasebeta

← #35611925

Subgroups — #35611925

Order 21248.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128302C211yesmaximal, characteristic, complemented
2C2×#19128285C211yesmaximal, characteristic, complemented
3#24915807C211yesmaximal, characteristic, complemented
4#24915793C211yesmaximal, characteristic, complemented
5#24914365C211yesmaximal, characteristic, complemented
6#24914266C211yesmaximal, characteristic, complemented
7#24913990C211yesmaximal, characteristic, complemented
8#24913818C211yesmaximal, characteristic, complemented
9#24913802C211yesmaximal, characteristic, complemented
10#24913791C211yesmaximal, characteristic, complemented
11#24913760C211yesmaximal, characteristic, complemented
12#24913753C211yesmaximal, characteristic, complemented
13#24913735C211yesmaximal, characteristic, complemented
14#24913734C211yesmaximal, characteristic, complemented
15#24913710C211yesmaximal, characteristic, complemented
16#24913704C211yesmaximal, characteristic, complemented
17#24913695C211yesmaximal, characteristic, complemented
18#24913682C211yesmaximal, characteristic, complemented
19#24913675C211yesmaximal, characteristic, complemented
20#24913672C211yesmaximal, characteristic, complemented
21#24913593C211yesmaximal, characteristic, complemented
22#24913593C211yesmaximal, characteristic, complemented
23#24913152C211yesmaximal, characteristic, complemented
24#24913084C211yesmaximal, characteristic, complemented
25#24913072C211yesmaximal, characteristic, complemented
26#24913054C211yesmaximal, characteristic, complemented
27#24912392C211yesmaximal, characteristic, complemented
28#24910878C211yesmaximal, characteristic, complemented
29#24910845C211yesmaximal, characteristic, complemented
30#24909904C211yesmaximal, characteristic, complemented
31C83×#2540C211yesmaximal, characteristic, complemented
32#19128302—28no—
33#19128285—28no—
34C2×#14581788C2211yescharacteristic
35C2×#14581788C2211yescharacteristic
36C2×#14581786C2211yescharacteristic
37C2×#14581785C2211yescharacteristic
38C2×#14581783C2211yescharacteristic, complemented
39C2×#14581781C2211yescharacteristic
40C2×#14581777C2211yescharacteristic
41C2×#14581776C2211yescharacteristic
42C2×#14581775C2211yescharacteristic
43C2×#14581775C2211yescharacteristic, complemented
44C2×#14581774C2211yescharacteristic
45C2×#14581774C2211yescharacteristic
46C2×#14581774C2211yescharacteristic
47C2×#14581774C2211yescharacteristic, complemented
48C2×#14581768C2211yescharacteristic
49C2×#14581767C2211yescharacteristic
50C2×#14581767C2211yescharacteristic
51C2×#14581766C2211yescharacteristic
52C2×#14581766C2211yescharacteristic, complemented
53C2×#14581765C2211yescharacteristic
54C2×#14581765C2211yescharacteristic
55C2×#14581765C2211yescharacteristic
56C2×#14581765C2211yescharacteristic
57C2×#14581765C2211yescharacteristic, complemented
58C2×#14581765C2211yescharacteristic, complemented
59C2×#14581764C2211yescharacteristic
60C2×#14581764C2211yescharacteristic, complemented
61C2×#14581763C2211yescharacteristic
62C2×#14581763C2211yescharacteristic, complemented
63C2×#14581763C2211yescharacteristic, complemented
64C2×#14581762C2211yescharacteristic
65C2×#14581762C2211yescharacteristic
66C2×#14581760C2211yescharacteristic
67C2×#14581760C2211yescharacteristic
68C2×#14581760C2211yescharacteristic
69C2×C4×D332C2211yescharacteristic
70C2×(C22⋊D83)⋊C4C2211yescharacteristic
71C2×#14581749C2211yescharacteristic
72C2×#14581749C2211yescharacteristic, complemented
73C2×C22⋊C4×D83C2211yescharacteristic
74C2×C42×D83C2211yescharacteristic, complemented
75#19127637C2211yescharacteristic
76#19127636C2211yescharacteristic
77#19127634C2211yescharacteristic, complemented
78#19127634C2211yescharacteristic, complemented
79#19127632C2211yescharacteristic, complemented
80#19127631C2211yescharacteristic, complemented
81#19127629C2211yescharacteristic
82#19127629C2211yescharacteristic, complemented
83#19127627C2211yescharacteristic
84#19127627C2211yescharacteristic
85#19127624C2211yescharacteristic
86#19127623C2211yescharacteristic
87#19127623C2211yescharacteristic
88#19127623C2211yescharacteristic, complemented
89#19127620C2211yescharacteristic, complemented
90#19127618C2211yescharacteristic
91#19127618C2211yescharacteristic
92#19127618C2211yescharacteristic
93#19127618C2211yescharacteristic, complemented
94#19127617C2211yescharacteristic
95#19127617C2211yescharacteristic
96#19127617C2211yescharacteristic
97#19127617C2211yescharacteristic, complemented
98#19127616C2211yescharacteristic
99#19127616C2211yescharacteristic
100#19127616C2211yescharacteristic, complemented
101#19127616C2211yescharacteristic, complemented
102#19127615C2211yescharacteristic
103#19127615C2211yescharacteristic
104#19127615C2211yescharacteristic, complemented
105#19127612C2211yescharacteristic, complemented
106#19127610C2211yescharacteristic
107#19127610C2211yescharacteristic
108#19127610C2211yescharacteristic
109#19127610C2211yescharacteristic
110#19127609C2211yescharacteristic
111#19127609C2211yescharacteristic
112#19127609C2211yescharacteristic
113#19127609C2211yescharacteristic
114#19127609C2211yescharacteristic
115#19127609C2211yescharacteristic
116#19127609C2211yescharacteristic
117#19127609C2211yescharacteristic
118#19127609C2211yescharacteristic, complemented
119#19127604C2211yescharacteristic
120#19127603C2211yescharacteristic
121#19127601C2211yescharacteristic
122#19127601C2211yescharacteristic
123#19127601C2211yescharacteristic
124#19127601C2211yescharacteristic
125#19127601C2211yescharacteristic, complemented
126#19127601C2211yescharacteristic, complemented
127#19127601C2211yescharacteristic, complemented
128#19127600C2211yescharacteristic, complemented
129#19127599C2211yescharacteristic, complemented
130#19127596C2211yescharacteristic, complemented
131#19127595C2211yescharacteristic
132#19127595C2211yescharacteristic, complemented
133#19127595C2211yescharacteristic, complemented
134#19127595C2211yescharacteristic, complemented
135#19127594C2211yescharacteristic
136#19127594C2211yescharacteristic, complemented
137#19127594C2211yescharacteristic, complemented
138#19127593C2211yescharacteristic
139#19127592C2211yescharacteristic
140#19127592C2211yescharacteristic, complemented
141#19127591C2211yescharacteristic
142#19127591C2211yescharacteristic
143#19127589C2211yescharacteristic
144#19127589C2211yescharacteristic, complemented
145#19127587C2211yescharacteristic, complemented
146#19127586C2211yescharacteristic, complemented
147#19127584C2211yescharacteristic, complemented
148#19127584C2211yescharacteristic, complemented
149#19127581C2211yescharacteristic, complemented
150#19127580C2211yescharacteristic
151#19127580C2211yescharacteristic
152#19127579C2211yescharacteristic
153#19127579C2211yescharacteristic
154#19127579C2211yescharacteristic
155#19127577C2211yescharacteristic
156#19127577C2211yescharacteristic
157#19127577C2211yescharacteristic
158#19127577C2211yescharacteristic, complemented
159#19127577C2211yescharacteristic, complemented
160#19127576C2211yescharacteristic, complemented
161#19127575C2211yescharacteristic, complemented
162#19127574C2211yescharacteristic, complemented
163#19127574C2211yescharacteristic, complemented
164#19127572C2211yescharacteristic
165#19127572C2211yescharacteristic, complemented
166#19127572C2211yescharacteristic, complemented
167#19127570C2211yescharacteristic, complemented
168#19127559C2211yescharacteristic, complemented
169#19127558C2211yescharacteristic, complemented
170#19127556C2211yescharacteristic
171C4×(C2×D83)⋊C4C2211yescharacteristic
172C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
173#19127547C2211yescharacteristic, complemented
174C2×#124×C83C2211yescharacteristic
175C2×C22⋊Q8×C83C2211yescharacteristic, complemented
176C2×C22⋊Q8×C83C2211yescharacteristic, complemented
177C2×#121×C83C2211yescharacteristic
178C2×#121×C83C2211yescharacteristic
179C2×C4×D4×C83C2211yescharacteristic, complemented
180#399×C83C2211yescharacteristic
181#399×C83C2211yescharacteristic, complemented
182#392×C83C2211yescharacteristic
183#392×C83C2211yescharacteristic, complemented
184#390×C83C2211yescharacteristic
185#390×C83C2211yescharacteristic
186#390×C83C2211yescharacteristic, complemented
187#390×C83C2211yescharacteristic, complemented
188C4×C4⋊C4×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
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
209C23×Dic83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216#14581788—24no—
217#14581788—42no—
218#14581786—24no—
219#14581785—24no—
220#14581783—24no—
221#14581781—24no—
222#14581777—42no—
223#14581776—24no—
224#14581775—24no—
225#14581775—24no—
226#14581774—24no—
227#14581774—24no—
228#14581774—24no—
229#14581774—42no—
230#14581768—24no—
231#14581767—24no—
232#14581767—42no—
233#14581766—24no—
234#14581766—24no—
235#14581765—24no—
236#14581765—24no—
237#14581765—24no—
238#14581765—24no—
239#14581765—42no—
240#14581765—42no—
241#14581764—24no—
242#14581764—42no—
243#14581763—24no—
244#14581763—42no—
245#14581763—42no—
246#14581762—24no—
247#14581762—42no—
248#14581760—24no—
249#14581760—42no—
250#14581760—42no—
251C4×D332D418yescomplemented
252(C22⋊D83)⋊C4—24no—
253#14581749—24no—
254#14581749—42no—
255C2×C4⋊Dic83C2311yescharacteristic
256C2×C4⋊Dic83C2311yescharacteristic
257C2×C4⋊Dic83C2311yescharacteristic
258C2×C4⋊Dic83C2311yescharacteristic
259C2×C4⋊Dic83C2311yescharacteristic
260C2×C4⋊Dic83C2311yescharacteristic
261C2×C4⋊Dic83C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
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×C22⋊Dic83C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
278C2×C22⋊Dic83C2311yescharacteristic
279C2×C22⋊Dic83C2311yescharacteristic
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×(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×(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
320C22⋊C4×D83—24no—
321C2×C4×Dic83C2311yescharacteristic
322C2×C4×Dic83C2311yescharacteristic
323C2×C4×Dic83C2311yescharacteristic
324C2×C4×Dic83C2311yescharacteristic
325C2×C4×Dic83C2311yescharacteristic
326C2×C4×Dic83C2311yescharacteristic
327C42×D83—42no—
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C83⋊#95C2311yescharacteristic
347C83⋊#95C2311yescharacteristic
348C83⋊#95C2311yescharacteristic
349C83⋊#95C2311yescharacteristic
350C22×Q8×C83C2311yescharacteristic
351C22×D4×C83C2311yescharacteristic
352C22×D4×C83C2311yescharacteristic
353C22×D4×C83C2311yescharacteristic
354C22×D4×C83C2311yescharacteristic
355C22×D4×C83C2311yescharacteristic
356C22×D4×C83C2311yescharacteristic
357C23×C4×C83C2311yescharacteristic
358C23×C4×C83C2311yescharacteristic
359#124×C83—24no—
360C22⋊Q8×C83—42no—
361C22⋊Q8×C83—42no—
362#121×C83—42no—
363#121×C83—42no—
364C4×D4×C83—24no—
365C2×C4⋊C4×C83C2311yescharacteristic
366C2×C4⋊C4×C83C2311yescharacteristic
367C2×C4⋊C4×C83C2311yescharacteristic
368C2×C4⋊C4×C83C2311yescharacteristic
369C2×C4⋊C4×C83C2311yescharacteristic
370C2×C4⋊C4×C83C2311yescharacteristic
371C2×C4⋊C4×C83C2311yescharacteristic
372C2×C22⋊C4×C83C2311yescharacteristic
373C2×C22⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83C2311yescharacteristic
375C2×C22⋊C4×C83C2311yescharacteristic
376C2×C22⋊C4×C83C2311yescharacteristic
377C2×C22⋊C4×C83C2311yescharacteristic
378C2×C22⋊C4×C83C2311yescharacteristic
379C2×C22⋊C4×C83C2311yescharacteristic
380C2×C22⋊C4×C83C2311yescharacteristic
381C2×C22⋊C4×C83C2311yescharacteristic
382C2×C22⋊C4×C83C2311yescharacteristic
383C2×C22⋊C4×C83C2311yescharacteristic
384C2×C22⋊C4×C83C2311yescharacteristic
385C2×C22⋊C4×C83C2311yescharacteristic
386C2×C42×C83C2311yescharacteristic
387C2×C42×C83C2311yescharacteristic
388C2×C42×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—41no—
393C23×D83—41no—
394C23×D83—41no—
395C23×D83—41no—
396C23×D83—41no—
397C23×D83—41no—
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400C23×D83C2411yescharacteristic
401C23×D83C2411yescharacteristic
402C2×D332—22no—
403C2×D332—22no—
404C2×D332—22no—
405C2×D332—22no—
406C2×D332—41no—
407C2×D332—41no—
408C2×D332—41no—
409C2×D332—41no—
410C2×D332—41no—
411C2×D332—41no—
412C2×D332—41no—
413C2×D332—41no—
414C2×D332—41no—
415C2×D332—41no—
416C2×D332C2×D414yes—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—22no—
419C2×C22⋊D83—22no—
420C2×C22⋊D83—22no—
421C2×C22⋊D83—22no—
422C2×C22⋊D83—22no—
423C2×C22⋊D83—22no—
424C2×C22⋊D83—22no—
425C2×C22⋊D83—22no—
426C2×C22⋊D83—22no—
427C2×C22⋊D83—22no—
428C2×C22⋊D83—22no—
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—41no—
444C2×C22⋊D83—41no—
445C2×C22⋊D83—41no—
446C2×C22⋊D83—41no—
447C2×C22⋊D83—41no—
448C2×C22⋊D83—41no—
449C2×C22⋊D83—41no—
450C2×C22⋊D83—41no—
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—
459C22×Dic83—22no—
460C22×Dic83—41no—
461C22×Dic83—41no—
462C22×Dic83C2411yescharacteristic
463C22×Dic83C2411yescharacteristic
464C22×Dic83C2411yescharacteristic
465C22×Dic83C2411yescharacteristic
466C22×Dic83C2411yescharacteristic
467C22×Dic83C2411yescharacteristic
468C22×Dic83C2411yescharacteristic
469C22×Dic83C2411yescharacteristic
470C22×Dic83C2411yescharacteristic
471C22×Dic83C2411yescharacteristic
472C22×Dic83C2411yescharacteristic
473C22×Dic83C2411yescharacteristic
474C2×C4×D83—22no—
475C2×C4×D83—22no—
476C2×C4×D83—22no—
477C2×C4×D83—22no—
478C2×C4×D83—22no—
479C2×C4×D83—41no—
480C2×C4×D83—41no—
481C2×C4×D83—41no—
482C2×C4×D83—41no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83—41no—
487C2×C4×D83—41no—
488C2×C4×D83—41no—
489C2×C4×D83—41no—
490C2×C4×D83C2×D414yes—
491C2×C4×D83C2×D414yes—
492C4⋊Dic83—22no—
493C4⋊Dic83—22no—
494C4⋊Dic83—22no—
495C4⋊Dic83—22no—
496C4⋊Dic83—41no—
497C4⋊Dic83—41no—
498C4⋊Dic83C2×D414yes—
499Dic83⋊C4—22no—
500Dic83⋊C4—22no—
501Dic83⋊C4—22no—
502Dic83⋊C4—22no—
503Dic83⋊C4—22no—
504Dic83⋊C4—22no—
505Dic83⋊C4—22no—
506Dic83⋊C4—22no—
507Dic83⋊C4—22no—
508Dic83⋊C4—41no—
509Dic83⋊C4—41no—
510Dic83⋊C4—41no—
511Dic83⋊C4—41no—
512Dic83⋊C4—41no—
513C22⋊Dic83—22no—
514C22⋊Dic83—22no—
515C22⋊Dic83—22no—
516C22⋊Dic83—22no—
517C22⋊Dic83—22no—
518C22⋊Dic83—22no—
519C22⋊Dic83—41no—
520C22⋊Dic83—41no—
521C22⋊Dic83—41no—
522C22⋊Dic83—41no—
523C22⋊Dic83—41no—
524C22⋊Dic83—41no—
525C22⋊Dic83—41no—
526C22⋊Dic83—41no—
527C22⋊Dic83—41no—
528C22⋊Dic83—41no—
529(C2×D83)⋊C4—22no—
530(C2×D83)⋊C4—22no—
531(C2×D83)⋊C4—22no—
532(C2×D83)⋊C4—22no—
533(C2×D83)⋊C4—22no—
534(C2×D83)⋊C4—22no—
535(C2×D83)⋊C4—22no—
536(C2×D83)⋊C4—22no—
537(C2×D83)⋊C4—22no—
538(C2×D83)⋊C4—22no—
539(C2×D83)⋊C4—22no—
540(C2×D83)⋊C4—22no—
541(C2×D83)⋊C4—22no—
542(C2×D83)⋊C4—22no—
543(C2×D83)⋊C4—22no—
544(C2×D83)⋊C4—41no—
545(C2×D83)⋊C4—41no—
546(C2×D83)⋊C4—41no—
547(C2×D83)⋊C4—41no—
548(C2×D83)⋊C4—41no—
549(C2×D83)⋊C4—41no—
550(C2×D83)⋊C4—41no—
551(C2×D83)⋊C4—41no—
552(C2×D83)⋊C4—41no—
553(C2×D83)⋊C4—41no—
554(C2×D83)⋊C4—41no—
555(C2×D83)⋊C4C2×D414yes—
556(C2×D83)⋊C4C2×D414yes—
557C4×Dic83—22no—
558C4×Dic83—22no—
559C4×Dic83—22no—
560C4×Dic83—22no—
561C4×Dic83—41no—
562C4×Dic83—41no—
563C24×C83C2411yescharacteristic
564C24×C83C2411yescharacteristic
565C24×C83C2411yescharacteristic
566C24×C83C2411yescharacteristic
567C2×Q8×C83—22no—
568C2×Q8×C83—41no—
569C2×Q8×C83—41no—
570C2×D4×C83—22no—
571C2×D4×C83—22no—
572C2×D4×C83—22no—
573C2×D4×C83—22no—
574C2×D4×C83—41no—
575C2×D4×C83—41no—
576C2×D4×C83—41no—
577C2×D4×C83—41no—
578C2×D4×C83—41no—
579C2×D4×C83—41no—
580C2×D4×C83—41no—
581C2×D4×C83—41no—
582C2×D4×C83—41no—
583C2×D4×C83—41no—
584C2×D4×C83—41no—
585C2×D4×C83—41no—
586C2×D4×C83—41no—
587C2×D4×C83—41no—
588C22×C4×C83—22no—
589C22×C4×C83—22no—
590C22×C4×C83—41no—
591C22×C4×C83—41no—
592C22×C4×C83—41no—
593C22×C4×C83—41no—
594C22×C4×C83C2411yescharacteristic
595C22×C4×C83C2411yescharacteristic
596C22×C4×C83C2411yescharacteristic
597C22×C4×C83C2411yescharacteristic
598C22×C4×C83C2411yescharacteristic
599C22×C4×C83C2411yescharacteristic
600C22×C4×C83C2411yescharacteristic
601C22×C4×C83C2411yescharacteristic
602C22×C4×C83C2411yescharacteristic
603C22×C4×C83C2411yescharacteristic
604C22×C4×C83C2411yescharacteristic
605C4⋊C4×C83—22no—
606C4⋊C4×C83—22no—
607C4⋊C4×C83—22no—
608C4⋊C4×C83—22no—
609C4⋊C4×C83—22no—
610C4⋊C4×C83—41no—
611C4⋊C4×C83—41no—
612C22⋊C4×C83—22no—
613C22⋊C4×C83—22no—
614C22⋊C4×C83—22no—
615C22⋊C4×C83—22no—
616C22⋊C4×C83—22no—
617C22⋊C4×C83—22no—
618C22⋊C4×C83—22no—
619C22⋊C4×C83—22no—
620C22⋊C4×C83—22no—
621C22⋊C4×C83—22no—
622C22⋊C4×C83—41no—
623C22⋊C4×C83—41no—
624C22⋊C4×C83—41no—
625C22⋊C4×C83—41no—
626C42×C83—41no—
627C42×C83—41no—
628C42×C83C2×D414yes—
629C23×C83—21no—
630C23×C83—21no—
631C23×C83—21no—
632C23×C83—21no—
633C23×C83—21no—
634C23×C83—21no—
635C23×C83—21no—
636C23×C83—21no—
637C23×C83—21no—
638C23×C83—21no—
639C23×C83—21no—
640C23×C83—21no—
641C23×C83—21no—
642C23×C83—21no—
643C23×C83—21no—
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×C83C2511yescharacteristic
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—21no—
671C22×D83—21no—
672C22×D83—21no—
673C22×D83—21no—
674C22×D83—21no—
675C22×D83—21no—
676C22×D83—21no—
677C22×D83—21no—
678C22×D83—21no—
679C22×D83—21no—
680C22×D83—21no—
681C22×D83—21no—
682C22×D83—21no—
683C22×D83—21no—
684C22×D83—44no—
685C22×D83—82no—
686C22×D83—82no—
687C22×D83—82no—
688C22×D83—82no—
689C22×D83—82no—
690C22×D83—82no—
691C22×D83C22×D412yes—
692C22×D83C22×D412yes—
693Q8×C83—82no—
694D4×C83—44no—
695D4×C83—82no—
696D4×C83—82no—
697D4×C83—82no—
698D4×C83—82no—
699D4×C83—82no—
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—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—21no—
719C2×C4×C83—21no—
720C2×C4×C83—21no—
721C2×C4×C83—21no—
722C2×C4×C83—21no—
723C2×C4×C83—21no—
724C2×C4×C83—21no—
725C2×C4×C83—21no—
726C2×C4×C83—21no—
727C2×C4×C83—21no—
728C2×C4×C83—82no—
729C2×C4×C83—82no—
730C2×C4×C83C22×D412yes—
731C2×C4×C83C22×D412yes—
732C2×C4×C83C22×D412yes—
733C2×C4×C83H(5,𝔽2)12yes—
734C2×C4×C83H(5,𝔽2)12yes—
735C22⋊D83—44no—
736C22⋊D83—82no—
737C22⋊D83—82no—
738C22⋊D83—82no—
739C22⋊D83—82no—
740C22⋊D83—82no—
741C22⋊D83—82no—
742C22⋊D83—82no—
743C22⋊D83—82no—
744C22⋊D83—82no—
745C22⋊D83—82no—
746C22⋊D83—82no—
747C22⋊D83—82no—
748C22⋊D83—82no—
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—21no—
764C2×Dic83—21no—
765C2×Dic83—21no—
766C2×Dic83—21no—
767C2×Dic83—21no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—21no—
771C2×Dic83—21no—
772C2×Dic83—21no—
773C2×Dic83—21no—
774C2×Dic83—21no—
775C2×Dic83—21no—
776C2×Dic83—21no—
777C2×Dic83—21no—
778C2×Dic83—21no—
779C2×Dic83—21no—
780C2×Dic83—21no—
781C2×Dic83—21no—
782C2×Dic83—82no—
783C2×Dic83C22×D412yes—
784C2×Dic83C22×D412yes—
785C2×Dic83H(5,𝔽2)12yes—
786D332—44no—
787D332—82no—
788D332—82no—
789D332—82no—
790D332—82no—
791C4×D83—44no—
792C4×D83—44no—
793C4×D83—44no—
794C4×D83—44no—
795C4×D83—44no—
796C4×D83—82no—
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—41no—
809C22×C83—41no—
810C22×C83—41no—
811C22×C83—41no—
812C22×C83—41no—
813C22×C83—41no—
814C22×C83—41no—
815C22×C83—41no—
816C22×C83—41no—
817C22×C83—41no—
818C22×C83—41no—
819C22×C83—41no—
820C22×C83—41no—
821C22×C83—41no—
822C22×C83—41no—
823C22×C83—41no—
824C22×C83—41no—
825C22×C83C23×D411yescharacteristic
826C22×C83C2×H(5,𝔽2)11yescharacteristic
827C22×C83C2×H(5,𝔽2)11yescharacteristic
828C22×C83C2×H(5,𝔽2)11yescharacteristic
829C22×C83#58511yescharacteristic
830C22×C83#58511yescharacteristic
831C22×C83#58511yescharacteristic
832C2×D83—22no—
833C2×D83—22no—
834C2×D83—22no—
835C2×D83—22no—
836C2×D83—22no—
837C2×D83—22no—
838C2×D83—41no—
839C2×D83—41no—
840C2×D83—41no—
841C2×D83—41no—
842C2×D83—41no—
843C2×D83—41no—
844C2×D83—41no—
845C2×D83—41no—
846C2×D83—41no—
847C2×D83—41no—
848C2×D83—41no—
849C2×D83—41no—
850C2×D83—41no—
851C2×D83—41no—
852C2×D83—41no—
853C2×D83—41no—
854C2×D83—41no—
855C2×D83—41no—
856C2×D83—41no—
857C2×D83—41no—
858C2×D83—41no—
859C2×D83—41no—
860C2×D83—88no—
861C4×C83—22no—
862C4×C83—22no—
863C4×C83—22no—
864C4×C83—22no—
865C4×C83—22no—
866C4×C83—41no—
867C4×C83—41no—
868C4×C83—41no—
869C4×C83—41no—
870C4×C83—41no—
871C4×C83—41no—
872Dic83—22no—
873Dic83—22no—
874Dic83—22no—
875Dic83—41no—
876Dic83—41no—
877Dic83—41no—
878Dic83—41no—
879Dic83—41no—
880Dic83—41no—
881Dic83—41no—
882Dic83—41no—
883Dic83—41no—
884#36744—831nomaximal, Sylow
885C2×C83—81no—
886C2×C83—81no—
887C2×C83—81no—
888C2×C83—81no—
889C2×C83#344911yescharacteristic
890C2×C83#349611yescharacteristic
891C2×C83#349811yescharacteristic
892C2×C83#353411yescharacteristic
893C2×C83#354211yescharacteristic
894C2×C83#355111yescharacteristic
895C2×C83#356211yescharacteristic
896D83—42no—
897D83—42no—
898D83—81no—
899D83—81no—
900C2×#540—831no—
901C2×#538—831no—
902#2856—831no—
903#2854—831no—
904#2721—831no—
905#2714—831no—
906#2694—831no—
907#2681—831no—
908#2680—831no—
909#2678—831no—
910#2676—831no—
911#2675—831no—
912#2673—831no—
913#2673—831no—
914#2672—831no—
915#2671—831no—
916#2671—831no—
917#2669—831no—
918#2669—831no—
919#2668—831no—
920#2661—831no—
921#2661—831no—
922#2610—831no—
923#2603—831no—
924#2602—831no—
925#2601—831no—
926#2540D8311yescharacteristic, complemented
927#2539—831no—
928#2414—831no—
929#2411—831no—
930#2290—831no—
931C83#3674411yescharacteristic, complemented, Sylow
932#540—1668no—
933#538—1668no—
934C2×#127—831no—
935C2×#127—831no—
936C2×#126—831no—
937C2×#126—831no—
938C2×#125—831no—
939C2×#124—831no—
940C2×#124C2×D8311yescharacteristic
941C2×#123—831no—
942C2×#123—831no—
943C2×#123—831no—
944C2×#123—831no—
945C2×#123—831no—
946C2×#123—831no—
947C2×#123—831no—
948C2×#123—831no—
949C2×C22⋊Q8—831no—
950C2×C22⋊Q8C2×D8311yescharacteristic, complemented
951C2×C22⋊Q8C2×D8311yescharacteristic, complemented
952C2×#121—831no—
953C2×#121—831no—
954C2×#121—831no—
955C2×#121—831no—
956C2×#121—831no—
957C2×#121—831no—
958C2×#121—831no—
959C2×#121—831no—
960C2×#121—831no—
961C2×#121—831no—
962C2×#121—831no—
963C2×#121—831no—
964C2×#121—831no—
965C2×#121—831no—
966C2×#121—831no—
967C2×#121C2×D8311yescharacteristic
968C2×#121C2×D8311yescharacteristic
969C2×#120—831no—
970C2×#120—831no—
971C2×#120—831no—
972C2×#120—831no—
973C2×#120—831no—
974C2×C4×D4—831no—
975C2×C4×D4—831no—
976C2×C4×D4C2×D8311yescharacteristic, complemented
977C2×#117—831no—
978C2×#117—831no—
979C22×C22⋊C4—831no—
980C22×C42—831no—
981#399—831no—
982#399—831no—
983#399C2×D8311yescharacteristic
984#399C2×D8311yescharacteristic, complemented
985#398—831no—
986#398—831no—
987#398—831no—
988#398—831no—
989#397—831no—
990#397—831no—
991#397—831no—
992#397—831no—
993#396—831no—
994#396—831no—
995#396—831no—
996#396—831no—
997#395—831no—
998#394—831no—
999#394—831no—
1000#394—831no—
1001#394—831no—
1002#394—831no—
1003#394—831no—
1004#394—831no—
1005#394—831no—
1006#394—831no—
1007#394—831no—
1008#394—831no—
1009#394—831no—
1010#394—831no—
1011#394—831no—
1012#394—831no—
1013#393—831no—
1014#392—831no—
1015#392—831no—
1016#392—831no—
1017#392—831no—
1018#392—831no—
1019#392—831no—
1020#392—831no—
1021#392—831no—
1022#392—831no—
1023#392—831no—
1024#392—831no—
1025#392—831no—
1026#392—831no—
1027#392C2×D8311yescharacteristic
1028#392C2×D8311yescharacteristic, complemented
1029#390—831no—
1030#390—831no—
1031#390—831no—
1032#390—831no—
1033#390—831no—
1034#390—831no—
1035#390—831no—
1036#390—831no—
1037#390—831no—
1038#390C2×D8311yescharacteristic
1039#390C2×D8311yescharacteristic
1040#390C2×D8311yescharacteristic, complemented
1041#390C2×D8311yescharacteristic, complemented
1042#389—831no—
1043#389—831no—
1044#389—831no—
1045#388—831no—
1046#388—831no—
1047#388—831no—
1048#388—831no—
1049#388—831no—
1050#388—831no—
1051#388—831no—
1052#388—831no—
1053#388—831no—
1054#388—831no—
1055#388—831no—
1056#388—831no—
1057#388—831no—
1058#388—831no—
1059#387—831no—
1060#387—831no—
1061#387—831no—
1062#387—831no—
1063#386—831no—
1064#386—831no—
1065#386—831no—
1066#386—831no—
1067#386—831no—
1068#386—831no—
1069#386—831no—
1070#386—831no—
1071#386—831no—
1072#386—831no—
1073#386—831no—
1074#385—831no—
1075#385—831no—
1076#385—831no—
1077#385—831no—
1078#385—831no—
1079#385—831no—
1080#385—831no—
1081#384—831no—
1082#380—831no—
1083#380—831no—
1084#379—831no—
1085C4×C4⋊C4C2×D8311yescharacteristic, complemented
1086C4×C22⋊C4—831no—
1087C4×C22⋊C4—831no—
1088#376—831no—
1089C25—831no—
1090C22×Q8C22×D8311yescharacteristic
1091C22×D4—831no—
1092C22×D4—831no—
1093C22×D4—831no—
1094C22×D4—831no—
1095C22×D4—831no—
1096C22×D4—831no—
1097C22×D4—831no—
1098C22×D4—831no—
1099C22×D4—831no—
1100C22×D4—831no—
1101C22×D4—831no—
1102C22×D4—831no—
1103C22×D4—831no—
1104C22×D4—831no—
1105C22×D4—831no—
1106C22×D4—831no—
1107C22×D4—831no—
1108C22×D4—831no—
1109C22×D4—831no—
1110C22×D4C22×D8311yescharacteristic
1111C22×D4C22×D8311yescharacteristic
1112C22×D4C22×D8311yescharacteristic
1113C22×D4C22×D8311yescharacteristic
1114C22×D4C22×D8311yescharacteristic
1115C22×D4C22×D8311yescharacteristic
1116C23×C4—831no—
1117C23×C4—831no—
1118C23×C4—831no—
1119C23×C4—831no—
1120C23×C4—831no—
1121C23×C4—831no—
1122C23×C4—831no—
1123C23×C4C22×D8311yescharacteristic
1124C23×C4C22×D8311yescharacteristic
1125#127—3322no—
1126#127—1664no—
1127#126—1664no—
1128#126—1664no—
1129#125—1664no—
1130#124—24no—
1131#124—1664no—
1132#123—3322no—
1133#123—3322no—
1134#123—1664no—
1135#123—1664no—
1136#123—1664no—
1137#123—1664no—
1138#123—1664no—
1139#123—1664no—
1140C22⋊Q8—42no—
1141C22⋊Q8—42no—
1142C22⋊Q8—1664no—
1143#121—42no—
1144#121—42no—
1145#121—3322no—
1146#121—3322no—
1147#121—3322no—
1148#121—3322no—
1149#121—3322no—
1150#121—3322no—
1151#121—1664no—
1152#121—1664no—
1153#121—1664no—
1154#121—1664no—
1155#121—1664no—
1156#121—1664no—
1157#121—1664no—
1158#121—1664no—
1159#121—1664no—
1160#120—3322no—
1161#120—3322no—
1162#120—3322no—
1163#120—1664no—
1164#120—1664no—
1165C4×D4—24no—
1166C4×D4—838no—
1167C4×D4—1664no—
1168#117—3322no—
1169#117—1664no—
1170C2×C4⋊C4—831no—
1171C2×C4⋊C4—831no—
1172C2×C4⋊C4—831no—
1173C2×C4⋊C4—831no—
1174C2×C4⋊C4—831no—
1175C2×C4⋊C4—831no—
1176C2×C4⋊C4—831no—
1177C2×C4⋊C4—831no—
1178C2×C4⋊C4—831no—
1179C2×C4⋊C4—831no—
1180C2×C4⋊C4—831no—
1181C2×C4⋊C4—831no—
1182C2×C4⋊C4—831no—
1183C2×C4⋊C4—831no—
1184C2×C4⋊C4—831no—
1185C2×C4⋊C4—831no—
1186C2×C4⋊C4—831no—
1187C2×C4⋊C4—831no—
1188C2×C4⋊C4—831no—
1189C2×C4⋊C4—831no—
1190C2×C4⋊C4—831no—
1191C2×C4⋊C4C22×D8311yescharacteristic
1192C2×C4⋊C4C22×D8311yescharacteristic
1193C2×C4⋊C4C22×D8311yescharacteristic
1194C2×C4⋊C4C22×D8311yescharacteristic
1195C2×C4⋊C4C22×D8311yescharacteristic
1196C2×C4⋊C4C22×D8311yescharacteristic
1197C2×C4⋊C4C22×D8311yescharacteristic
1198C2×C22⋊C4—831no—
1199C2×C22⋊C4—831no—
1200C2×C22⋊C4—831no—
1201C2×C22⋊C4—831no—
1202C2×C22⋊C4—831no—
1203C2×C22⋊C4—831no—
1204C2×C22⋊C4—831no—
1205C2×C22⋊C4—831no—
1206C2×C22⋊C4—831no—
1207C2×C22⋊C4—831no—
1208C2×C22⋊C4—831no—
1209C2×C22⋊C4—831no—
1210C2×C22⋊C4—831no—
1211C2×C22⋊C4—831no—
1212C2×C22⋊C4—831no—
1213C2×C22⋊C4—831no—
1214C2×C22⋊C4—831no—
1215C2×C22⋊C4—831no—
1216C2×C22⋊C4—831no—
1217C2×C22⋊C4—831no—
1218C2×C22⋊C4—831no—
1219C2×C22⋊C4—831no—
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—1664no—
1243C2×C22⋊C4C22×D8311yescharacteristic
1244C2×C22⋊C4C22×D8311yescharacteristic
1245C2×C22⋊C4C22×D8311yescharacteristic
1246C2×C22⋊C4C22×D8311yescharacteristic
1247C2×C22⋊C4C22×D8311yescharacteristic
1248C2×C22⋊C4C22×D8311yescharacteristic
1249C2×C22⋊C4C22×D8311yescharacteristic
1250C2×C22⋊C4C22×D8311yescharacteristic
1251C2×C22⋊C4C22×D8311yescharacteristic
1252C2×C22⋊C4C22×D8311yescharacteristic
1253C2×C22⋊C4C22×D8311yescharacteristic
1254C2×C22⋊C4C22×D8311yescharacteristic
1255C2×C22⋊C4C22×D8311yescharacteristic
1256C2×C22⋊C4C22×D8311yescharacteristic
1257C2×C42—3322no—
1258C2×C42—831no—
1259C2×C42—831no—
1260C2×C42—831no—
1261C2×C42—831no—
1262C2×C42—831no—
1263C2×C42—831no—
1264C2×C42C22×D8311yescharacteristic
1265C2×C42C22×D8311yescharacteristic
1266C2×C42C22×D8311yescharacteristic
1267#95—831no—
1268#95—831no—
1269#95—831no—
1270#95—831no—
1271#95—831no—
1272#95—831no—
1273#95—831no—
1274#95—831no—
1275#95—831no—
1276#95—831no—
1277#95—831no—
1278#95—831no—
1279#95—831no—
1280#95—831no—
1281#95—831no—
1282#95—831no—
1283#95—831no—
1284#95—831no—
1285#95—831no—
1286#95—831no—
1287#95—831no—
1288#95—831no—
1289#95C22×D8311yescharacteristic
1290#95C22×D8311yescharacteristic
1291C24—3321no—
1292C24—3321no—
1293C24—3321no—
1294C24—3321no—
1295C24—3321no—
1296C24—3321no—
1297C24—831no—
1298C24—831no—
1299C24—831no—
1300C24—831no—
1301C24—1662no—
1302C24C23×D8311yescharacteristic
1303C24C23×D8311yescharacteristic
1304C24C23×D8311yescharacteristic
1305C24C23×D8311yescharacteristic
1306C2×Q8—22no—
1307C2×Q8—41no—
1308C2×Q8—41no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—3321no—
1328C2×D4—3321no—
1329C2×D4—3321no—
1330C2×D4—3321no—
1331C2×D4—3321no—
1332C2×D4—3321no—
1333C2×D4—3321no—
1334C2×D4—3321no—
1335C2×D4—3321no—
1336C2×D4—3321no—
1337C2×D4—3321no—
1338C2×D4—3321no—
1339C2×D4—3321no—
1340C2×D4—3321no—
1341C2×D4—3321no—
1342C2×D4—3321no—
1343C2×D4—3321no—
1344C2×D4—3321no—
1345C2×D4—3321no—
1346C2×D4—3321no—
1347C2×D4—3321no—
1348C2×D4—3321no—
1349C2×D4—3321no—
1350C2×D4—3321no—
1351C2×D4—3321no—
1352C2×D4—3321no—
1353C2×D4—3321no—
1354C2×D4—3321no—
1355C2×D4—3321no—
1356C2×D4—3321no—
1357C2×D4—3321no—
1358C2×D4—3321no—
1359C2×D4—3321no—
1360C2×D4—3321no—
1361C2×D4—3321no—
1362C2×D4—3321no—
1363C2×D4—3321no—
1364C2×D4—3321no—
1365C2×D4—3321no—
1366C2×D4—3321no—
1367C2×D4—834no—
1368C2×D4—1662no—
1369C2×D4—1662no—
1370C2×D4—1662no—
1371C2×D4—1662no—
1372C2×D4—1662no—
1373C2×D4—1662no—
1374C2×D4—1662no—
1375C2×D4—1662no—
1376C2×D4—1662no—
1377C2×D4—1662no—
1378C2×D4—1662no—
1379C2×D4—1662no—
1380C2×D4—1662no—
1381C2×D4—1662no—
1382C2×D4—1662no—
1383C2×D4—1662no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—3321no—
1391C22×C4—3321no—
1392C22×C4—3321no—
1393C22×C4—3321no—
1394C22×C4—3321no—
1395C22×C4—3321no—
1396C22×C4—3321no—
1397C22×C4—3321no—
1398C22×C4—3321no—
1399C22×C4—3321no—
1400C22×C4—3321no—
1401C22×C4—3321no—
1402C22×C4—3321no—
1403C22×C4—834no—
1404C22×C4—834no—
1405C22×C4—831no—
1406C22×C4—831no—
1407C22×C4—831no—
1408C22×C4—831no—
1409C22×C4—831no—
1410C22×C4—831no—
1411C22×C4—831no—
1412C22×C4—831no—
1413C22×C4—831no—
1414C22×C4—831no—
1415C22×C4—831no—
1416C22×C4—831no—
1417C22×C4—1662no—
1418C22×C4—1662no—
1419C22×C4—1662no—
1420C22×C4—1662no—
1421C22×C4—1662no—
1422C22×C4—1662no—
1423C22×C4C23×D8311yescharacteristic
1424C22×C4C23×D8311yescharacteristic
1425C22×C4C23×D8311yescharacteristic
1426C22×C4C23×D8311yescharacteristic
1427C22×C4C23×D8311yescharacteristic
1428C22×C4C23×D8311yescharacteristic
1429C22×C4C23×D8311yescharacteristic
1430C22×C4C23×D8311yescharacteristic
1431C22×C4C23×D8311yescharacteristic
1432C22×C4C23×D8311yescharacteristic
1433C22×C4C23×D8311yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—41no—
1440C4⋊C4—41no—
1441C4⋊C4—3321no—
1442C4⋊C4—3321no—
1443C4⋊C4—3321no—
1444C4⋊C4—3321no—
1445C4⋊C4—3321no—
1446C4⋊C4—3321no—
1447C4⋊C4—3321no—
1448C4⋊C4—834no—
1449C4⋊C4—1662no—
1450C4⋊C4—1662no—
1451C4⋊C4—1662no—
1452C4⋊C4—1662no—
1453C4⋊C4—1662no—
1454C4⋊C4—1662no—
1455C4⋊C4—1662no—
1456C4⋊C4—1662no—
1457C4⋊C4—1662no—
1458C4⋊C4—1662no—
1459C4⋊C4—1662no—
1460C4⋊C4—1662no—
1461C4⋊C4—1662no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—3321no—
1477C22⋊C4—3321no—
1478C22⋊C4—3321no—
1479C22⋊C4—3321no—
1480C22⋊C4—3321no—
1481C22⋊C4—3321no—
1482C22⋊C4—3321no—
1483C22⋊C4—3321no—
1484C22⋊C4—3321no—
1485C22⋊C4—3321no—
1486C22⋊C4—3321no—
1487C22⋊C4—3321no—
1488C22⋊C4—3321no—
1489C22⋊C4—3321no—
1490C22⋊C4—3321no—
1491C22⋊C4—3321no—
1492C22⋊C4—3321no—
1493C22⋊C4—3321no—
1494C22⋊C4—3321no—
1495C22⋊C4—3321no—
1496C22⋊C4—3321no—
1497C22⋊C4—834no—
1498C22⋊C4—834no—
1499C22⋊C4—1662no—
1500C22⋊C4—1662no—
1501C22⋊C4—1662no—
1502C22⋊C4—1662no—
1503C22⋊C4—1662no—
1504C22⋊C4—1662no—
1505C22⋊C4—1662no—
1506C22⋊C4—1662no—
1507C22⋊C4—1662no—
1508C22⋊C4—1662no—
1509C22⋊C4—1662no—
1510C22⋊C4—1662no—
1511C22⋊C4—1662no—
1512C22⋊C4—1662no—
1513C22⋊C4—1662no—
1514C22⋊C4—1662no—
1515C22⋊C4—1662no—
1516C22⋊C4—1662no—
1517C22⋊C4—1662no—
1518C22⋊C4—1662no—
1519C22⋊C4—1662no—
1520C42—41no—
1521C42—41no—
1522C42—3321no—
1523C42—3321no—
1524C42—1662no—
1525C42—1662no—
1526C42—1662no—
1527C42—1662no—
1528C42D4×D8314yes—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—3324no—
1558C23—832no—
1559C23—832no—
1560C23—6642no—
1561C23—6642no—
1562C23—6642no—
1563C23—6642no—
1564C23—6642no—
1565C23—6642no—
1566C23—1661no—
1567C23—1661no—
1568C23—1661no—
1569C23—1661no—
1570C23—1661no—
1571C23—1661no—
1572C23—1661no—
1573C23—1661no—
1574C23—1661no—
1575C23—1661no—
1576C23—1661no—
1577C23—1661no—
1578C23—1661no—
1579C23—1661no—
1580C23—1661no—
1581C23—1661no—
1582C23—1661no—
1583C23—1661no—
1584C23—1661no—
1585C23—1661no—
1586C23—1661no—
1587C23—1661no—
1588C23—1661no—
1589C23—1661no—
1590C23—1661no—
1591C23—1661no—
1592C23C24×D8311yescharacteristic
1593Q8—82no—
1594D4—44no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—3324no—
1601D4—3324no—
1602D4—6642no—
1603D4—6642no—
1604D4—6642no—
1605D4—6642no—
1606D4—6642no—
1607D4—6642no—
1608D4—6642no—
1609D4—6642no—
1610D4—6642no—
1611D4—6642no—
1612D4—6642no—
1613D4—6642no—
1614D4—6642no—
1615D4—6642no—
1616D4—6642no—
1617D4—6642no—
1618D4—6642no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—82no—
1648C2×C4—82no—
1649C2×C4—3324no—
1650C2×C4—3324no—
1651C2×C4—3324no—
1652C2×C4—3324no—
1653C2×C4—3324no—
1654C2×C4—832no—
1655C2×C4—832no—
1656C2×C4—832no—
1657C2×C4—6642no—
1658C2×C4—6642no—
1659C2×C4—1661no—
1660C2×C4—1661no—
1661C2×C4—1661no—
1662C2×C4—1661no—
1663C2×C4—1661no—
1664C2×C4—1661no—
1665C2×C4—1661no—
1666C2×C4—1661no—
1667C2×C4—1661no—
1668C2×C4—1661no—
1669C2×C4—1661no—
1670C2×C4—1661no—
1671C2×C4—1661no—
1672C2×C4—1661no—
1673C2×C4—1661no—
1674C2×C4—1661no—
1675C2×C4—1661no—
1676C2×C4—1661no—
1677C2×C4—1661no—
1678C2×C4—1661no—
1679C2×C4—1661no—
1680C2×C4—1661no—
1681C2×C4—1661no—
1682C2×C4—1661no—
1683C2×C4—1661no—
1684C2×C4—1661no—
1685C2×C4—1661no—
1686C2×C4—1661no—
1687C2×C4—1661no—
1688C2×C4—1661no—
1689C2×C4—1661no—
1690C2×C4—1661no—
1691C2×C4—1661no—
1692C2×C4C2×D4×D8312yes—
1693C2×C4C2×D4×D8312yes—
1694C2×C4C2×D4×D8312yes—
1695C2×C4#1458183712yes—
1696C2×C4#1458183712yes—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—3321no—
1726C22—3321no—
1727C22—3321no—
1728C22—3321no—
1729C22—3321no—
1730C22—3321no—
1731C22—3321no—
1732C22—3321no—
1733C22—3321no—
1734C22—3321no—
1735C22—3321no—
1736C22—3321no—
1737C22—3321no—
1738C22—3321no—
1739C22—3321no—
1740C22—3321no—
1741C22—3321no—
1742C22—3321no—
1743C22—3321no—
1744C22—3321no—
1745C22—3321no—
1746C22—3321no—
1747C22—6648no—
1748C22—1662no—
1749C22—1662no—
1750C22—1662no—
1751C22—1662no—
1752C22—1662no—
1753C22—1662no—
1754C22C22×D4×D8311yescharacteristic
1755C22H(5,𝔽2)×D8311yescharacteristic
1756C22C2×#1458183711yescharacteristic
1757C22C2×#1458183711yescharacteristic
1758C22#1912853711yescharacteristic
1759C22#1912853711yescharacteristic
1760C22#1912853811yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—3321no—
1773C4—3321no—
1774C4—3321no—
1775C4—3321no—
1776C4—3321no—
1777C4—3321no—
1778C4—3321no—
1779C4—3321no—
1780C4—3321no—
1781C4—1662no—
1782C4—1662no—
1783C4—1662no—
1784C2—81no—
1785C2—81no—
1786C2—81no—
1787C2—81no—
1788C2—3322no—
1789C2—3322no—
1790C2—6641no—
1791C2—6641no—
1792C2#2492079311yescharacteristic
1793C2#2492122611yescharacteristic
1794C2#2492123911yescharacteristic
1795C2#2492164811yescharacteristic
1796C2#2492176411yescharacteristic
1797C2#2492187911yescharacteristic
1798C2#2492205411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2540C2
hypercenter#2540D83
hypocenterC83#36744
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2540

Complements

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

NH ≅ G/Ntype
1. C2×#19128302C2semidirect
2. C2×#19128285C2semidirect
3. #24915807C2semidirect
4. #24915793C2semidirect
5. #24914365C2semidirect
6. #24914266C2semidirect
7. #24913990C2semidirect
8. #24913818C2semidirect
9. #24913802C2semidirect
10. #24913791C2semidirect
11. #24913760C2semidirect
12. #24913753C2semidirect
13. #24913735C2semidirect
14. #24913734C2semidirect
15. #24913710C2semidirect
16. #24913704C2semidirect
17. #24913695C2semidirect
18. #24913682C2semidirect
19. #24913675C2semidirect
20. #24913672C2semidirect
21. #24913593C2semidirect
22. #24913593C2semidirect
23. #24913152C2semidirect
24. #24913084C2semidirect
25. #24913072C2semidirect
26. #24913054C2semidirect
27. #24912392C2semidirect
28. #24910878C2semidirect
29. #24910845C2semidirect
30. #24909904C2semidirect
31. C83×#2540C2semidirect
38. C2×#14581783C22semidirect
43. C2×#14581775C22semidirect
47. C2×#14581774C22semidirect
52. C2×#14581766C22semidirect
57. C2×#14581765C22semidirect
58. C2×#14581765C22semidirect
60. C2×#14581764C22semidirect
62. C2×#14581763C22semidirect
63. C2×#14581763C22semidirect
72. C2×#14581749C22semidirect
74. C2×C42×D83C22semidirect
77. #19127634C22semidirect
78. #19127634C22semidirect
79. #19127632C22semidirect
80. #19127631C22semidirect
82. #19127629C22semidirect
88. #19127623C22semidirect
89. #19127620C22semidirect
93. #19127618C22semidirect
97. #19127617C22semidirect
100. #19127616C22semidirect
101. #19127616C22semidirect
104. #19127615C22semidirect
105. #19127612C22semidirect
118. #19127609C22semidirect
125. #19127601C22semidirect
126. #19127601C22semidirect
127. #19127601C22semidirect
128. #19127600C22semidirect
129. #19127599C22semidirect
130. #19127596C22semidirect
132. #19127595C22semidirect
133. #19127595C22semidirect
134. #19127595C22semidirect
136. #19127594C22semidirect
137. #19127594C22semidirect
140. #19127592C22semidirect
144. #19127589C22semidirect
145. #19127587C22semidirect
146. #19127586C22semidirect
147. #19127584C22semidirect
148. #19127584C22semidirect
149. #19127581C22semidirect
158. #19127577C22semidirect
159. #19127577C22semidirect
160. #19127576C22semidirect
161. #19127575C22semidirect
162. #19127574C22semidirect
163. #19127574C22semidirect
165. #19127572C22semidirect
166. #19127572C22semidirect
167. #19127570C22semidirect
168. #19127559C22semidirect
169. #19127558C22semidirect
172. C4×(C2×D83)⋊C4C22semidirect
173. #19127547C22semidirect
175. C2×C22⋊Q8×C83C22semidirect
176. C2×C22⋊Q8×C83C22semidirect
179. C2×C4×D4×C83C22semidirect
181. #399×C83C22semidirect
183. #392×C83C22semidirect
186. #390×C83C22semidirect
187. #390×C83C22semidirect
188. C4×C4⋊C4×C83C22semidirect
251. C4×D332D4semidirect
926. #2540D83semidirect
931. C83#36744semidirect
950. C2×C22⋊Q8C2×D83semidirect
951. C2×C22⋊Q8C2×D83semidirect
976. C2×C4×D4C2×D83semidirect
984. #399C2×D83semidirect
1028. #392C2×D83semidirect
1040. #390C2×D83semidirect
1041. #390C2×D83semidirect
1085. C4×C4⋊C4C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283022
C2×#191282852
#249158072
#249157932
#249143652
#249142662
#249139902
#249138182
#249138022
#249137912
#249137602
#249137532
#249137352
#249137342
#249137102
#249137042
#249136952
#249136822
#249136752
#249136722
#249135932
#249131522
#249130842
#249130722
#249130542
#249123922
#249108782
#249108452
#249099042
C83×#25402
#3674483