Finite Group Databasebeta

← #35568250

Subgroups — #35568250

Order 21248.

2382 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128301C211yesmaximal, characteristic
2#24910615C211yesmaximal, characteristic, complemented
3#24910614C211yesmaximal, characteristic, complemented
4#24910612C211yesmaximal, characteristic, complemented
5#24910607C211yesmaximal, characteristic, complemented
6#24910498C211yesmaximal, characteristic, complemented
7#24910498C211yesmaximal, characteristic, complemented
8#24910484C211yesmaximal, characteristic, complemented
9#24910480C211yesmaximal, characteristic, complemented
10#24910480C211yesmaximal, characteristic, complemented
11#24910474C211yesmaximal, characteristic, complemented
12#24910455C211yesmaximal, characteristic, complemented
13#24910454C211yesmaximal, characteristic, complemented
14#24910433C211yesmaximal, characteristic, complemented
15#24910413C211yesmaximal, characteristic, complemented
16#24910367C211yesmaximal, characteristic, complemented
17#24910361C211yesmaximal, characteristic, complemented
18#24910250C211yesmaximal, characteristic, complemented
19#24910247C211yesmaximal, characteristic, complemented
20#24910201C211yesmaximal, characteristic, complemented
21#24910184C211yesmaximal, characteristic, complemented
22#24910168C211yesmaximal, characteristic, complemented
23#24910160C211yesmaximal, characteristic, complemented
24#24910151C211yesmaximal, characteristic, complemented
25#24910137C211yesmaximal, characteristic, complemented
26#24910127C211yesmaximal, characteristic, complemented
27#24910082C211yesmaximal, characteristic, complemented
28#24910027C211yesmaximal, characteristic, complemented
29C4×#14581782C211yesmaximal, characteristic, complemented
30#24909957C211yesmaximal, characteristic, complemented
31C83×#2324C211yesmaximal, characteristic, complemented
32#19128301C4116yescomplemented
33C2×#14581788C2211yescharacteristic
34C2×#14581782C2211yescharacteristic
35C2×#14581777C2211yescharacteristic
36C2×#14581775C2211yescharacteristic
37C2×#14581774C2211yescharacteristic
38C2×#14581773C2211yescharacteristic
39C2×#14581765C2211yescharacteristic
40C2×#14581764C2211yescharacteristic
41C2×#14581764C2211yescharacteristic
42C2×#14581764C2211yescharacteristic
43C2×#14581763C2211yescharacteristic
44C2×D4×Dic83C2211yescharacteristic
45C2×D4×Dic83C2211yescharacteristic
46C2×#14581754C2211yescharacteristic
47C2×C4×C22⋊D83C2211yescharacteristic
48C2×C4×C22⋊D83C2211yescharacteristic
49C2×C4×C22⋊D83C2211yescharacteristic
50C2×(C22⋊D83)⋊C4C2211yescharacteristic
51C2×(C22⋊D83)⋊C4C2211yescharacteristic
52C2×(C22⋊D83)⋊C4C2211yescharacteristic
53C2×(C22⋊D83)⋊C4C2211yescharacteristic
54C2×(C22⋊D83)⋊C4C2211yescharacteristic
55C2×(C22⋊D83)⋊C4C2211yescharacteristic
56C2×(C22⋊D83)⋊C4C2211yescharacteristic
57C2×#14581750C2211yescharacteristic
58C2×#14581748C2211yescharacteristic
59C2×#14581748C2211yescharacteristic
60C22×Dic83⋊C4C2211yescharacteristic
61C22×Dic83⋊C4C2211yescharacteristic
62C2×C4⋊C4×D83C2211yescharacteristic
63#19127603C2211yescharacteristic
64#19127601C2211yescharacteristic
65#19127601C2211yescharacteristic
66#19127601C2211yescharacteristic
67#19127601C2211yescharacteristic
68#19127601C2211yescharacteristic
69#19127601C2211yescharacteristic
70#19127601C2211yescharacteristic
71#19127601C2211yescharacteristic
72#19127598C2211yescharacteristic
73#19127598C2211yescharacteristic
74#19127598C2211yescharacteristic
75#19127598C2211yescharacteristic
76#19127597C2211yescharacteristic
77#19127596C2211yescharacteristic
78#19127596C2211yescharacteristic
79#19127596C2211yescharacteristic
80#19127596C2211yescharacteristic
81#19127596C2211yescharacteristic
82#19127596C2211yescharacteristic
83#19127595C2211yescharacteristic
84#19127595C2211yescharacteristic
85#19127594C2211yescharacteristic
86#19127594C2211yescharacteristic
87#19127593C2211yescharacteristic
88#19127592C2211yescharacteristic
89#19127592C2211yescharacteristic
90#19127592C2211yescharacteristic
91#19127591C2211yescharacteristic
92#19127591C2211yescharacteristic
93#19127591C2211yescharacteristic
94#19127590C2211yescharacteristic
95#19127589C2211yescharacteristic
96#19127589C2211yescharacteristic
97#19127589C2211yescharacteristic
98#19127589C2211yescharacteristic
99#19127589C2211yescharacteristic
100#19127589C2211yescharacteristic
101#19127588C2211yescharacteristic
102#19127587C2211yescharacteristic
103#19127587C2211yescharacteristic
104#19127586C2211yescharacteristic
105#19127585C2211yescharacteristic
106#19127585C2211yescharacteristic
107#19127584C2211yescharacteristic
108#19127583C2211yescharacteristic
109#19127583C2211yescharacteristic
110#19127582C2211yescharacteristic
111#19127582C2211yescharacteristic
112#19127582C2211yescharacteristic
113#19127581C2211yescharacteristic
114#19127581C2211yescharacteristic
115#19127581C2211yescharacteristic
116#19127581C2211yescharacteristic
117#19127580C2211yescharacteristic
118#19127580C2211yescharacteristic
119#19127579C2211yescharacteristic
120#19127579C2211yescharacteristic
121#19127578C2211yescharacteristic
122#19127578C2211yescharacteristic
123#19127577C2211yescharacteristic
124#19127577C2211yescharacteristic
125#19127577C2211yescharacteristic
126#19127577C2211yescharacteristic
127#19127576C2211yescharacteristic
128#19127576C2211yescharacteristic
129#19127575C2211yescharacteristic
130#19127575C2211yescharacteristic
131#19127574C2211yescharacteristic
132#19127574C2211yescharacteristic
133#19127573C2211yescharacteristic
134#19127573C2211yescharacteristic
135#19127573C2211yescharacteristic
136#19127573C2211yescharacteristic
137#19127572C2211yescharacteristic
138#19127572C2211yescharacteristic
139#19127572C2211yescharacteristic
140#19127572C2211yescharacteristic
141#19127570C2211yescharacteristic
142#19127570C2211yescharacteristic
143#19127565C2211yescharacteristic
144#19127565C2211yescharacteristic
145#19127563C2211yescharacteristic
146#19127562C2211yescharacteristic
147#19127561C2211yescharacteristic
148#19127560C2211yescharacteristic
149#19127560C2211yescharacteristic
150#19127559C2211yescharacteristic
151#19127558C2211yescharacteristic
152C4⋊C4×Dic83C2211yescharacteristic
153C4×Dic83⋊C4C2211yescharacteristic
154C4×Dic83⋊C4C2211yescharacteristic
155C4×Dic83⋊C4C2211yescharacteristic
156C4×Dic83⋊C4C2211yescharacteristic
157C4×Dic83⋊C4C2211yescharacteristic
158C4×C4⋊Dic83C2211yescharacteristic
159#19127552C2211yescharacteristic
160#19127552C2211yescharacteristic
161C22⋊C4×Dic83C2211yescharacteristic
162C22⋊C4×Dic83C2211yescharacteristic
163C22⋊C4×Dic83C2211yescharacteristic
164C22⋊C4×Dic83C2211yescharacteristic
165C22⋊C4×Dic83C2211yescharacteristic
166C4×(C2×D83)⋊C4C2211yescharacteristic
167C4×(C2×D83)⋊C4C2211yescharacteristic
168C4×(C2×D83)⋊C4C2211yescharacteristic
169#19127546C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171#95×D83C2211yescharacteristic
172C42×Dic83C2211yescharacteristic
173C2×#121×C83C2211yescharacteristic
174C2×C4×D4×C83C2211yescharacteristic
175C2×#117×C83C2211yescharacteristic
176#390×C83C2211yescharacteristic
177#390×C83C2211yescharacteristic
178#390×C83C2211yescharacteristic
179#389×C83C2211yescharacteristic
180#388×C83C2211yescharacteristic
181#388×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic
184#385×C83C2211yescharacteristic
185#385×C83C2211yescharacteristic
186#380×C83C2211yescharacteristic
187C4×C4⋊C4×C83C2211yescharacteristic
188C22×D332C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196C23×Dic83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198C23×Dic83C2311yescharacteristic
199C23×Dic83C2311yescharacteristic
200C23×Dic83C2311yescharacteristic
201C22×C4×D83C2311yescharacteristic
202C22×C4×D83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207#14581788C2×C418yescomplemented
208#14581782C2×C418yescomplemented
209#14581777C2×C418yescomplemented
210#14581775C2×C418yescomplemented
211#14581774C2×C418yescomplemented
212#14581773C2×C418yescomplemented
213#14581765C2×C418yescomplemented
214#14581764C2×C418yescomplemented
215#14581764C2×C418yescomplemented
216#14581764C2×C418yescomplemented
217#14581763C2×C418yescomplemented
218D4×Dic83—42no—
219D4×Dic83—42no—
220#14581754—42no—
221C4×C22⋊D83—42no—
222C4×C22⋊D83—42no—
223C4×C22⋊D83C2×C418yescomplemented
224(C22⋊D83)⋊C4—42no—
225(C22⋊D83)⋊C4—42no—
226(C22⋊D83)⋊C4—42no—
227(C22⋊D83)⋊C4—42no—
228(C22⋊D83)⋊C4—42no—
229(C22⋊D83)⋊C4—42no—
230(C22⋊D83)⋊C4C2×C418yescomplemented
231#14581750—42no—
232#14581748—42no—
233#14581748C2×C418yescomplemented
234C2×C4⋊Dic83C2311yescharacteristic
235C2×C4⋊Dic83C2311yescharacteristic
236C2×C4⋊Dic83C2311yescharacteristic
237C2×C4⋊Dic83C2311yescharacteristic
238C2×C4⋊Dic83C2311yescharacteristic
239C2×Dic83⋊C4—42no—
240C2×Dic83⋊C4—42no—
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
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C4⋊C4×D83—42no—
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)⋊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×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C2×C4×Dic83C2311yescharacteristic
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C2×C4×Dic83C2311yescharacteristic
305C2×C4×Dic83C2311yescharacteristic
306C2×C4×Dic83C2311yescharacteristic
307C2×C4×Dic83C2311yescharacteristic
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
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C22×D4×C83C2311yescharacteristic
339C22×D4×C83C2311yescharacteristic
340C22×D4×C83C2311yescharacteristic
341C23×C4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343C23×C4×C83C2311yescharacteristic
344#121×C83C2×C418yescomplemented
345C4×D4×C83—42no—
346#117×C83—42no—
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C4⋊C4×C83C2311yescharacteristic
350C2×C4⋊C4×C83C2311yescharacteristic
351C2×C4⋊C4×C83C2311yescharacteristic
352C2×C4⋊C4×C83C2311yescharacteristic
353C2×C4⋊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×C42×C83C2311yescharacteristic
367C2×C42×C83C2311yescharacteristic
368C2×C42×C83C2311yescharacteristic
369C2×C42×C83C2311yescharacteristic
370#95×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375#95×C83C2311yescharacteristic
376C23×D83C2411yescharacteristic
377C23×D83C2411yescharacteristic
378C2×D332—41no—
379C2×D332—41no—
380C2×D332C22×C414yes—
381C2×C22⋊D83—22no—
382C2×C22⋊D83—22no—
383C2×C22⋊D83—22no—
384C2×C22⋊D83—22no—
385C2×C22⋊D83—41no—
386C2×C22⋊D83—41no—
387C2×C22⋊D83—41no—
388C2×C22⋊D83—41no—
389C2×C22⋊D83—41no—
390C2×C22⋊D83—41no—
391C2×C22⋊D83—41no—
392C2×C22⋊D83—41no—
393C2×C22⋊D83C22×C414yes—
394C2×C22⋊D83C22×C414yes—
395C2×C22⋊D83C22×C414yes—
396C2×C22⋊D83C22×C414yes—
397C2×C22⋊D83C22×C414yes—
398C2×C22⋊D83C22×C414yes—
399C22×Dic83—22no—
400C22×Dic83—22no—
401C22×Dic83—22no—
402C22×Dic83—22no—
403C22×Dic83—41no—
404C22×Dic83—41no—
405C22×Dic83—41no—
406C22×Dic83—41no—
407C22×Dic83—41no—
408C22×Dic83—41no—
409C22×Dic83—41no—
410C22×Dic83—41no—
411C22×Dic83—41no—
412C22×Dic83—41no—
413C22×Dic83—41no—
414C22×Dic83—41no—
415C22×Dic83C22×C414yes—
416C22×Dic83C22×C414yes—
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C2×C4×D83—22no—
432C2×C4×D83—22no—
433C2×C4×D83—41no—
434C2×C4×D83—41no—
435C2×C4×D83—41no—
436C2×C4×D83—41no—
437C2×C4×D83—41no—
438C2×C4×D83—41no—
439C2×C4×D83—41no—
440C2×C4×D83—41no—
441C2×C4×D83—41no—
442C2×C4×D83—41no—
443C2×C4×D83—41no—
444C2×C4×D83—41no—
445C2×C4×D83—41no—
446C2×C4×D83—41no—
447C2×C4×D83C22×C414yes—
448C2×C4×D83C22×C414yes—
449C4⋊Dic83—22no—
450C4⋊Dic83—41no—
451C4⋊Dic83—41no—
452C4⋊Dic83—41no—
453C4⋊Dic83C22×C414yes—
454Dic83⋊C4—22no—
455Dic83⋊C4—22no—
456Dic83⋊C4—22no—
457Dic83⋊C4—22no—
458Dic83⋊C4—22no—
459Dic83⋊C4—22no—
460Dic83⋊C4—41no—
461Dic83⋊C4—41no—
462Dic83⋊C4—41no—
463Dic83⋊C4—41no—
464Dic83⋊C4—41no—
465Dic83⋊C4—41no—
466Dic83⋊C4—41no—
467Dic83⋊C4—41no—
468Dic83⋊C4—41no—
469Dic83⋊C4—41no—
470Dic83⋊C4C22×C414yes—
471Dic83⋊C4C22×C414yes—
472Dic83⋊C4C22×C414yes—
473Dic83⋊C4C22×C414yes—
474Dic83⋊C4C22×C414yes—
475Dic83⋊C4C22×C414yes—
476C22⋊Dic83—22no—
477C22⋊Dic83—41no—
478C22⋊Dic83—41no—
479C22⋊Dic83—41no—
480C22⋊Dic83—41no—
481C22⋊Dic83—41no—
482C22⋊Dic83—41no—
483C22⋊Dic83—41no—
484C22⋊Dic83C22×C414yes—
485C22⋊Dic83C22×C414yes—
486C22⋊Dic83C22×C414yes—
487C22⋊Dic83C22×C414yes—
488(C2×D83)⋊C4—22no—
489(C2×D83)⋊C4—22no—
490(C2×D83)⋊C4—41no—
491(C2×D83)⋊C4—41no—
492(C2×D83)⋊C4—41no—
493(C2×D83)⋊C4—41no—
494(C2×D83)⋊C4—41no—
495(C2×D83)⋊C4—41no—
496(C2×D83)⋊C4—41no—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4—41no—
499(C2×D83)⋊C4—41no—
500(C2×D83)⋊C4C22×C414yes—
501(C2×D83)⋊C4C22×C414yes—
502(C2×D83)⋊C4C22×C414yes—
503(C2×D83)⋊C4C22×C414yes—
504C4×Dic83—22no—
505C4×Dic83—22no—
506C4×Dic83—22no—
507C4×Dic83—22no—
508C4×Dic83—22no—
509C4×Dic83—22no—
510C4×Dic83—22no—
511C4×Dic83—41no—
512C4×Dic83—41no—
513C4×Dic83—41no—
514C4×Dic83—41no—
515C4×Dic83—41no—
516C4×Dic83—41no—
517C4×Dic83—41no—
518C4×Dic83C22×C414yes—
519C4×Dic83C22×C414yes—
520C24×C83C2411yescharacteristic
521C24×C83C2411yescharacteristic
522C24×C83C2411yescharacteristic
523C2×D4×C83—41no—
524C2×D4×C83—41no—
525C2×D4×C83—41no—
526C2×D4×C83—41no—
527C2×D4×C83—41no—
528C2×D4×C83—41no—
529C2×D4×C83C22×C414yes—
530C2×D4×C83C22×C414yes—
531C2×D4×C83C22×C414yes—
532C22×C4×C83—41no—
533C22×C4×C83—41no—
534C22×C4×C83—41no—
535C22×C4×C83—41no—
536C22×C4×C83—41no—
537C22×C4×C83—41no—
538C22×C4×C83—41no—
539C22×C4×C83—41no—
540C22×C4×C83C22×C414yes—
541C22×C4×C83C2411yescharacteristic
542C22×C4×C83C2411yescharacteristic
543C22×C4×C83C2411yescharacteristic
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
553C4⋊C4×C83—22no—
554C4⋊C4×C83—41no—
555C4⋊C4×C83—41no—
556C4⋊C4×C83—41no—
557C4⋊C4×C83—41no—
558C4⋊C4×C83—41no—
559C4⋊C4×C83C22×C414yes—
560C22⋊C4×C83—22no—
561C22⋊C4×C83—22no—
562C22⋊C4×C83—22no—
563C22⋊C4×C83—41no—
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×C83C22×C414yes—
571C22⋊C4×C83C22×C414yes—
572C42×C83—22no—
573C42×C83—41no—
574C42×C83—41no—
575C42×C83—41no—
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×C83—21no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83C23×C412yes—
595C23×C83C23×C412yes—
596C23×C83C23×C412yes—
597C23×C83C2511yescharacteristic
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×D83C23×C412yes—
611C22×D83C23×C412yes—
612D4×C83—44no—
613D4×C83—44no—
614D4×C83—44no—
615C2×C4×C83—21no—
616C2×C4×C83—21no—
617C2×C4×C83—21no—
618C2×C4×C83—21no—
619C2×C4×C83—21no—
620C2×C4×C83—21no—
621C2×C4×C83—21no—
622C2×C4×C83—21no—
623C2×C4×C83—21no—
624C2×C4×C83—21no—
625C2×C4×C83—21no—
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—44no—
647C2×C4×C83—82no—
648C2×C4×C83—82no—
649C2×C4×C83C23×C412yes—
650C2×C4×C83C23×C412yes—
651C2×C4×C83C23×C412yes—
652C2×C4×C83C23×C412yes—
653C2×C4×C83H(5,𝔽2)12yes—
654C22⋊D83—28no—
655C22⋊D83—28no—
656C22⋊D83—44no—
657C22⋊D83—44no—
658C22⋊D83—44no—
659C22⋊D83—44no—
660C2×Dic83—21no—
661C2×Dic83—21no—
662C2×Dic83—21no—
663C2×Dic83—21no—
664C2×Dic83—21no—
665C2×Dic83—21no—
666C2×Dic83—21no—
667C2×Dic83—21no—
668C2×Dic83—21no—
669C2×Dic83—21no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—28no—
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—44no—
695C2×Dic83—82no—
696C2×Dic83—82no—
697C2×Dic83—82no—
698C2×Dic83—82no—
699C2×Dic83C23×C412yes—
700C2×Dic83C23×C412yes—
701C2×Dic83C23×C412yes—
702C2×Dic83C23×C412yes—
703C2×Dic83C23×C412yes—
704C2×Dic83C23×C412yes—
705C2×Dic83H(5,𝔽2)12yes—
706C2×Dic83H(5,𝔽2)12yes—
707C2×Dic832−1+412yes—
708D332—44no—
709C4×D83—44no—
710C4×D83—44no—
711C4×D83—82no—
712C4×D83—82no—
713C4×D83—82no—
714C4×D83—82no—
715C22×C83—22no—
716C22×C83—22no—
717C22×C83—22no—
718C22×C83—22no—
719C22×C83—22no—
720C22×C83—22no—
721C22×C83—22no—
722C22×C83—22no—
723C22×C83—22no—
724C22×C83—41no—
725C22×C83—41no—
726C22×C83—41no—
727C22×C83—41no—
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×C83C24×C411yescharacteristic
737C22×C83C2×H(5,𝔽2)11yescharacteristic
738C22×C83C2×H(5,𝔽2)11yescharacteristic
739C22×C83C2×H(5,𝔽2)11yescharacteristic
740C22×C83C2×2−1+411yescharacteristic
741C22×C83#58511yescharacteristic
742C22×C83#58511yescharacteristic
743C2×D83—22no—
744C2×D83—22no—
745C2×D83—22no—
746C2×D83—22no—
747C2×D83—22no—
748C2×D83—22no—
749C2×D83—41no—
750C2×D83—41no—
751C2×D83—41no—
752C2×D83—41no—
753C2×D83—41no—
754C2×D83—41no—
755C2×D83—41no—
756C2×D83—41no—
757C4×C83—22no—
758C4×C83—22no—
759C4×C83—22no—
760C4×C83—22no—
761C4×C83—22no—
762C4×C83—41no—
763C4×C83—41no—
764C4×C83—41no—
765C4×C83—41no—
766C4×C83—41no—
767C4×C83—41no—
768C4×C83—41no—
769Dic83—22no—
770Dic83—22no—
771Dic83—22no—
772Dic83—22no—
773Dic83—22no—
774Dic83—22no—
775Dic83—41no—
776Dic83—41no—
777Dic83—41no—
778Dic83—41no—
779Dic83—41no—
780Dic83—41no—
781Dic83—41no—
782Dic83#52014yes—
783#34431—831nomaximal, Sylow
784C2×C83—42no—
785C2×C83—42no—
786C2×C83—42no—
787C2×C83C2×#52011yescharacteristic
788C2×C83C4×H(5,𝔽2)11yescharacteristic
789C2×C83C4×H(5,𝔽2)11yescharacteristic
790C2×C83#354311yescharacteristic
791C2×C83#354711yescharacteristic
792C2×C83#355911yescharacteristic
793C2×C83#356211yescharacteristic
794D83—42no—
795D83—42no—
796C2×#540—831no—
797#2377—831no—
798#2377—831no—
799#2376—831no—
800#2376—831no—
801#2363—831no—
802#2363—831no—
803#2361—831no—
804#2361—831no—
805#2361—831no—
806#2361—831no—
807#2359—831no—
808#2359—831no—
809#2357—831no—
810#2354—831no—
811#2349—831no—
812D4×C4⋊C4—831no—
813#2335—831no—
814#2335—831no—
815#2330—831no—
816#2328—831no—
817#2325—831no—
818#2325—831no—
819#2324—831no—
820#2324D8311yescharacteristic, complemented
821#2322—831no—
822#2322—831no—
823#2317—831no—
824C4×#127—831no—
825C4×#125—831no—
826#2298—831no—
827C83#3443111yescharacteristic, complemented, Sylow
828#540—8316no—
829C2×#127—831no—
830C2×#125—831no—
831C2×#123—831no—
832C2×#123—831no—
833C2×#123—831no—
834C2×#123—831no—
835C2×#121—831no—
836C2×#121—831no—
837C2×#121—831no—
838C2×#121—831no—
839C2×#121—831no—
840C2×#121C2×D8311yescharacteristic
841C2×C4×D4—831no—
842C2×C4×D4—831no—
843C2×C4×D4—831no—
844C2×C4×D4—831no—
845C2×C4×D4—831no—
846C2×C4×D4—831no—
847C2×C4×D4—831no—
848C2×C4×D4—831no—
849C2×C4×D4—831no—
850C2×C4×D4—831no—
851C2×C4×D4—831no—
852C2×C4×D4—831no—
853C2×C4×D4—831no—
854C2×C4×D4C2×D8311yescharacteristic
855C2×#117—831no—
856C2×#117—831no—
857C2×#117—831no—
858C2×#117C2×D8311yescharacteristic
859C22×C4⋊C4—831no—
860C22×C4⋊C4—831no—
861C22×C4⋊C4—831no—
862#390—831no—
863#390—831no—
864#390—831no—
865#390—831no—
866#390—831no—
867#390—831no—
868#390—831no—
869#390—831no—
870#390—831no—
871#390C2×D8311yescharacteristic
872#390C2×D8311yescharacteristic
873#390C2×D8311yescharacteristic
874#389—831no—
875#389—831no—
876#389—831no—
877#389—831no—
878#389—831no—
879#389—831no—
880#389—831no—
881#389—831no—
882#389—831no—
883#389—831no—
884#389—831no—
885#389C2×D8311yescharacteristic
886#388—831no—
887#388—831no—
888#388—831no—
889#388—831no—
890#388—831no—
891#388—831no—
892#388—831no—
893#388—831no—
894#388—831no—
895#388—831no—
896#388—831no—
897#388—831no—
898#388—831no—
899#388—831no—
900#388—831no—
901#388—831no—
902#388—831no—
903#388—831no—
904#388C2×D8311yescharacteristic
905#388C2×D8311yescharacteristic
906#387—831no—
907#387—831no—
908#387—831no—
909#387—831no—
910#387—831no—
911#387—831no—
912#387—831no—
913#387—831no—
914#387—831no—
915#387—831no—
916#387—831no—
917#387—831no—
918#386—831no—
919#386—831no—
920#386—831no—
921#386—831no—
922#386—831no—
923#386—831no—
924#386—831no—
925#386—831no—
926#386—831no—
927#386—831no—
928#386—831no—
929#386—831no—
930#386—831no—
931#386—831no—
932#386C2×D8311yescharacteristic
933#386C2×D8311yescharacteristic
934#385—831no—
935#385—831no—
936#385—831no—
937#385—831no—
938#385—831no—
939#385—831no—
940#385—831no—
941#385—831no—
942#385—831no—
943#385—831no—
944#385—831no—
945#385—831no—
946#385—831no—
947#385—831no—
948#385C2×D8311yescharacteristic
949#385C2×D8311yescharacteristic
950#384—831no—
951#384—831no—
952#382—831no—
953#382—831no—
954#381—831no—
955#381—831no—
956#380—831no—
957#380—831no—
958#380—831no—
959#380—831no—
960#380—831no—
961#380C2×D8311yescharacteristic
962C4×C4⋊C4—831no—
963C4×C4⋊C4—831no—
964C4×C4⋊C4—831no—
965C4×C4⋊C4—831no—
966C4×C4⋊C4—831no—
967C4×C4⋊C4—831no—
968C4×C4⋊C4—831no—
969C4×C4⋊C4—831no—
970C4×C4⋊C4—831no—
971C4×C4⋊C4C2×D8311yescharacteristic
972C4×C22⋊C4—831no—
973C4×C22⋊C4—831no—
974C4×C22⋊C4—831no—
975C4×C22⋊C4—831no—
976C4×C22⋊C4—831no—
977C4×C22⋊C4—831no—
978C4×C22⋊C4—831no—
979C4×C22⋊C4—831no—
980#376—831no—
981C2×#95—831no—
982C2×#95—831no—
983C43—831no—
984C22×D4—831no—
985C22×D4—831no—
986C22×D4—831no—
987C22×D4—831no—
988C22×D4—831no—
989C22×D4—831no—
990C22×D4—831no—
991C22×D4C22×D8311yescharacteristic
992C22×D4C22×D8311yescharacteristic
993C22×D4C22×D8311yescharacteristic
994C23×C4—831no—
995C23×C4—831no—
996C23×C4—831no—
997C23×C4—831no—
998C23×C4—831no—
999C23×C4—831no—
1000C23×C4—831no—
1001C23×C4—831no—
1002C23×C4—831no—
1003C23×C4—831no—
1004C23×C4—831no—
1005C23×C4—831no—
1006C23×C4C22×D8311yescharacteristic
1007C23×C4C22×D8311yescharacteristic
1008C23×C4C22×D8311yescharacteristic
1009#127—838no—
1010#125—838no—
1011#123—838no—
1012#123—838no—
1013#123—838no—
1014#123—838no—
1015#121—838no—
1016#121—838no—
1017#121—838no—
1018#121—838no—
1019#121—838no—
1020#121C4×D8318yescomplemented
1021C4×D4—42no—
1022C4×D4—3322no—
1023C4×D4—3322no—
1024C4×D4—3322no—
1025C4×D4—3322no—
1026C4×D4—3322no—
1027C4×D4—3322no—
1028C4×D4—3322no—
1029C4×D4—3322no—
1030C4×D4—3322no—
1031C4×D4—3322no—
1032C4×D4—3322no—
1033C4×D4—838no—
1034C4×D4—838no—
1035#117—42no—
1036#117—3322no—
1037#117—3322no—
1038#117—838no—
1039C2×C4⋊C4—3322no—
1040C2×C4⋊C4—3322no—
1041C2×C4⋊C4—3322no—
1042C2×C4⋊C4—831no—
1043C2×C4⋊C4—831no—
1044C2×C4⋊C4—831no—
1045C2×C4⋊C4—831no—
1046C2×C4⋊C4—831no—
1047C2×C4⋊C4—831no—
1048C2×C4⋊C4—831no—
1049C2×C4⋊C4—831no—
1050C2×C4⋊C4—831no—
1051C2×C4⋊C4—831no—
1052C2×C4⋊C4—831no—
1053C2×C4⋊C4—831no—
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⋊C4C22×D8311yescharacteristic
1070C2×C4⋊C4C22×D8311yescharacteristic
1071C2×C4⋊C4C22×D8311yescharacteristic
1072C2×C4⋊C4C22×D8311yescharacteristic
1073C2×C4⋊C4C22×D8311yescharacteristic
1074C2×C4⋊C4C22×D8311yescharacteristic
1075C2×C4⋊C4C22×D8311yescharacteristic
1076C2×C22⋊C4—831no—
1077C2×C22⋊C4—831no—
1078C2×C22⋊C4—831no—
1079C2×C22⋊C4—831no—
1080C2×C22⋊C4—831no—
1081C2×C22⋊C4—831no—
1082C2×C22⋊C4—831no—
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⋊C4C22×D8311yescharacteristic
1105C2×C22⋊C4C22×D8311yescharacteristic
1106C2×C22⋊C4C22×D8311yescharacteristic
1107C2×C22⋊C4C22×D8311yescharacteristic
1108C2×C22⋊C4C22×D8311yescharacteristic
1109C2×C22⋊C4C22×D8311yescharacteristic
1110C2×C22⋊C4C22×D8311yescharacteristic
1111C2×C22⋊C4C22×D8311yescharacteristic
1112C2×C22⋊C4C22×D8311yescharacteristic
1113C2×C22⋊C4C22×D8311yescharacteristic
1114C2×C22⋊C4C22×D8311yescharacteristic
1115C2×C22⋊C4C22×D8311yescharacteristic
1116C2×C42—831no—
1117C2×C42—831no—
1118C2×C42—831no—
1119C2×C42—831no—
1120C2×C42—831no—
1121C2×C42—831no—
1122C2×C42—831no—
1123C2×C42—831no—
1124C2×C42—831no—
1125C2×C42—831no—
1126C2×C42—831no—
1127C2×C42—831no—
1128C2×C42—831no—
1129C2×C42—831no—
1130C2×C42—831no—
1131C2×C42—831no—
1132C2×C42C22×D8311yescharacteristic
1133C2×C42C22×D8311yescharacteristic
1134C2×C42C22×D8311yescharacteristic
1135C2×C42C22×D8311yescharacteristic
1136#95—831no—
1137#95—831no—
1138#95—831no—
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#95C22×D8311yescharacteristic
1167#95C22×D8311yescharacteristic
1168#95C22×D8311yescharacteristic
1169#95C22×D8311yescharacteristic
1170#95C22×D8311yescharacteristic
1171#95C22×D8311yescharacteristic
1172C24—831no—
1173C24—831no—
1174C24C23×D8311yescharacteristic
1175C24C23×D8311yescharacteristic
1176C24C23×D8311yescharacteristic
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—3321no—
1184C2×D4—3321no—
1185C2×D4—3321no—
1186C2×D4—3321no—
1187C2×D4—3321no—
1188C2×D4—3321no—
1189C2×D4—3321no—
1190C2×D4—3321no—
1191C2×D4—3321no—
1192C2×D4—3321no—
1193C2×D4—834no—
1194C2×D4—834no—
1195C2×D4—834no—
1196C2×D4—834no—
1197C2×D4—834no—
1198C2×D4—834no—
1199C2×D4—834no—
1200C2×D4—1662no—
1201C2×D4—1662no—
1202C2×D4—1662no—
1203C2×D4—1662no—
1204C2×D4C2×C4×D8314yes—
1205C2×D4C2×C4×D8314yes—
1206C2×D4C2×C4×D8314yes—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—3321no—
1216C22×C4—3321no—
1217C22×C4—3321no—
1218C22×C4—3321no—
1219C22×C4—3321no—
1220C22×C4—3321no—
1221C22×C4—3321no—
1222C22×C4—3321no—
1223C22×C4—3321no—
1224C22×C4—3321no—
1225C22×C4—3321no—
1226C22×C4—3321no—
1227C22×C4—3321no—
1228C22×C4—3321no—
1229C22×C4—3321no—
1230C22×C4—3321no—
1231C22×C4—3321no—
1232C22×C4—3321no—
1233C22×C4—3321no—
1234C22×C4—3321no—
1235C22×C4—3321no—
1236C22×C4—3321no—
1237C22×C4—3321no—
1238C22×C4—3321no—
1239C22×C4—3321no—
1240C22×C4—3321no—
1241C22×C4—834no—
1242C22×C4—834no—
1243C22×C4—834no—
1244C22×C4—831no—
1245C22×C4—834no—
1246C22×C4—831no—
1247C22×C4—831no—
1248C22×C4—831no—
1249C22×C4—831no—
1250C22×C4—831no—
1251C22×C4—831no—
1252C22×C4—831no—
1253C22×C4—831no—
1254C22×C4—831no—
1255C22×C4—831no—
1256C22×C4—831no—
1257C22×C4—831no—
1258C22×C4—831no—
1259C22×C4—1662no—
1260C22×C4—1662no—
1261C22×C4—1662no—
1262C22×C4—1662no—
1263C22×C4—1662no—
1264C22×C4—1662no—
1265C22×C4C2×C4×D8314yes—
1266C22×C4C23×D8311yescharacteristic
1267C22×C4C23×D8311yescharacteristic
1268C22×C4C23×D8311yescharacteristic
1269C22×C4C23×D8311yescharacteristic
1270C22×C4C23×D8311yescharacteristic
1271C22×C4C23×D8311yescharacteristic
1272C22×C4C23×D8311yescharacteristic
1273C22×C4C23×D8311yescharacteristic
1274C22×C4C23×D8311yescharacteristic
1275C22×C4C23×D8311yescharacteristic
1276C22×C4C23×D8311yescharacteristic
1277C22×C4C23×D8311yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—3321no—
1285C4⋊C4—3321no—
1286C4⋊C4—3321no—
1287C4⋊C4—3321no—
1288C4⋊C4—3321no—
1289C4⋊C4—3321no—
1290C4⋊C4—3321no—
1291C4⋊C4—3321no—
1292C4⋊C4—3321no—
1293C4⋊C4—3321no—
1294C4⋊C4—3321no—
1295C4⋊C4—3321no—
1296C4⋊C4—3321no—
1297C4⋊C4—834no—
1298C4⋊C4—834no—
1299C4⋊C4—834no—
1300C4⋊C4—834no—
1301C4⋊C4—834no—
1302C4⋊C4—834no—
1303C4⋊C4—834no—
1304C4⋊C4—1662no—
1305C4⋊C4—1662no—
1306C4⋊C4—1662no—
1307C4⋊C4—1662no—
1308C4⋊C4—1662no—
1309C4⋊C4—1662no—
1310C4⋊C4—1662no—
1311C4⋊C4C2×C4×D8314yes—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—3321no—
1323C22⋊C4—3321no—
1324C22⋊C4—3321no—
1325C22⋊C4—3321no—
1326C22⋊C4—3321no—
1327C22⋊C4—3321no—
1328C22⋊C4—3321no—
1329C22⋊C4—3321no—
1330C22⋊C4—3321no—
1331C22⋊C4—3321no—
1332C22⋊C4—3321no—
1333C22⋊C4—3321no—
1334C22⋊C4—3321no—
1335C22⋊C4—3321no—
1336C22⋊C4—3321no—
1337C22⋊C4—3321no—
1338C22⋊C4—3321no—
1339C22⋊C4—834no—
1340C22⋊C4—834no—
1341C22⋊C4—834no—
1342C22⋊C4—834no—
1343C22⋊C4—834no—
1344C22⋊C4—834no—
1345C22⋊C4—834no—
1346C22⋊C4—834no—
1347C22⋊C4—1662no—
1348C22⋊C4—1662no—
1349C22⋊C4—1662no—
1350C22⋊C4C2×C4×D8314yes—
1351C22⋊C4C2×C4×D8314yes—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—41no—
1356C42—3321no—
1357C42—3321no—
1358C42—3321no—
1359C42—3321no—
1360C42—3321no—
1361C42—3321no—
1362C42—3321no—
1363C42—834no—
1364C42—834no—
1365C42—1662no—
1366C42—1662no—
1367C42—1662no—
1368C42—1662no—
1369C42—1662no—
1370C42—1662no—
1371C42—1662no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—832no—
1391C23—832no—
1392C23—1661no—
1393C23—1661no—
1394C23—1661no—
1395C23—1661no—
1396C23—1661no—
1397C23—1661no—
1398C23—1661no—
1399C23—1661no—
1400C23—1661no—
1401C23—1661no—
1402C23—1661no—
1403C23—1661no—
1404C23C22×C4×D8312yes—
1405C23C22×C4×D8312yes—
1406C23C22×C4×D8312yes—
1407C23C24×D8311yescharacteristic
1408D4—44no—
1409D4—44no—
1410D4—44no—
1411D4—3324no—
1412D4—3324no—
1413D4—3324no—
1414D4—3324no—
1415D4—3324no—
1416D4—1668no—
1417D4—1668no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—44no—
1450C2×C4—82no—
1451C2×C4—82no—
1452C2×C4—3324no—
1453C2×C4—3324no—
1454C2×C4—3324no—
1455C2×C4—832no—
1456C2×C4—832no—
1457C2×C4—832no—
1458C2×C4—832no—
1459C2×C4—832no—
1460C2×C4—832no—
1461C2×C4—832no—
1462C2×C4—832no—
1463C2×C4—832no—
1464C2×C4—6642no—
1465C2×C4—6642no—
1466C2×C4—6642no—
1467C2×C4—6642no—
1468C2×C4—6642no—
1469C2×C4—6642no—
1470C2×C4—6642no—
1471C2×C4—6642no—
1472C2×C4—1661no—
1473C2×C4—1661no—
1474C2×C4—1661no—
1475C2×C4—1661no—
1476C2×C4—1661no—
1477C2×C4—1661no—
1478C2×C4—1661no—
1479C2×C4—1661no—
1480C2×C4—1661no—
1481C2×C4—1661no—
1482C2×C4—1661no—
1483C2×C4—1661no—
1484C2×C4—1661no—
1485C2×C4—1661no—
1486C2×C4—1661no—
1487C2×C4—1661no—
1488C2×C4—1661no—
1489C2×C4—1661no—
1490C2×C4—1661no—
1491C2×C4—1661no—
1492C2×C4—1661no—
1493C2×C4—1668no—
1494C2×C4—1661no—
1495C2×C4—1661no—
1496C2×C4—1661no—
1497C2×C4—1661no—
1498C2×C4—1661no—
1499C2×C4—1661no—
1500C2×C4—1661no—
1501C2×C4—1661no—
1502C2×C4—1661no—
1503C2×C4—1661no—
1504C2×C4—1661no—
1505C2×C4—1661no—
1506C2×C4C22×C4×D8312yes—
1507C2×C4C22×C4×D8312yes—
1508C2×C4C22×C4×D8312yes—
1509C2×C4C22×C4×D8312yes—
1510C2×C4#1458183712yes—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—3321no—
1533C22—3321no—
1534C22—3321no—
1535C22—3321no—
1536C22—3321no—
1537C22—3321no—
1538C22—3321no—
1539C22—3321no—
1540C22—1662no—
1541C22—1662no—
1542C22—1662no—
1543C22—1662no—
1544C22—1662no—
1545C22—1662no—
1546C22C23×C4×D8311yescharacteristic
1547C22H(5,𝔽2)×D8311yescharacteristic
1548C22H(5,𝔽2)×D8311yescharacteristic
1549C22C2×#1458183711yescharacteristic
1550C222−1+4×D8311yescharacteristic
1551C22#1912853611yescharacteristic
1552C22#1912853711yescharacteristic
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—22no—
1557C4—22no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—3321no—
1566C4—3321no—
1567C4—3321no—
1568C4—3321no—
1569C4—3321no—
1570C4—3321no—
1571C4—3321no—
1572C4—834no—
1573C4—1662no—
1574C4—1662no—
1575C4—1662no—
1576C4—1662no—
1577C4—1662no—
1578C4—1662no—
1579C2—42no—
1580C2—42no—
1581C2—42no—
1582C2—3322no—
1583C2—3322no—
1584C2#520×D8311yescharacteristic
1585C2#2492066711yescharacteristic
1586C2C4×#1458183711yescharacteristic
1587C2#2492178911yescharacteristic
1588C2#2492184511yescharacteristic
1589C2#2492199011yescharacteristic
1590C2#2492204211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2324C2
socle, cosocleC23×C83C25
prime radicalC2×#19128301C2
hypercenter#2324D83
hypocenterC83#34431
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2324

Complements

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

NH ≅ G/Ntype
2. #24910615C2semidirect
3. #24910614C2semidirect
4. #24910612C2semidirect
5. #24910607C2semidirect
6. #24910498C2semidirect
7. #24910498C2semidirect
8. #24910484C2semidirect
9. #24910480C2semidirect
10. #24910480C2semidirect
11. #24910474C2semidirect
12. #24910455C2semidirect
13. #24910454C2semidirect
14. #24910433C2semidirect
15. #24910413C2semidirect
16. #24910367C2semidirect
17. #24910361C2semidirect
18. #24910250C2semidirect
19. #24910247C2semidirect
20. #24910201C2semidirect
21. #24910184C2semidirect
22. #24910168C2semidirect
23. #24910160C2semidirect
24. #24910151C2semidirect
25. #24910137C2semidirect
26. #24910127C2semidirect
27. #24910082C2semidirect
28. #24910027C2semidirect
29. C4×#14581782C2semidirect
30. #24909957C2semidirect
31. C83×#2324C2semidirect
32. #19128301C4semidirect
207. #14581788C2×C4semidirect
208. #14581782C2×C4semidirect
209. #14581777C2×C4semidirect
210. #14581775C2×C4semidirect
211. #14581774C2×C4semidirect
212. #14581773C2×C4semidirect
213. #14581765C2×C4semidirect
214. #14581764C2×C4semidirect
215. #14581764C2×C4semidirect
216. #14581764C2×C4semidirect
217. #14581763C2×C4semidirect
223. C4×C22⋊D83C2×C4semidirect
230. (C22⋊D83)⋊C4C2×C4semidirect
233. #14581748C2×C4semidirect
344. #121×C83C2×C4semidirect
820. #2324D83semidirect
827. C83#34431semidirect
1020. #121C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283012
#249106152
#249106142
#249106122
#249106072
#249104982
#249104842
#249104802
#249104742
#249104552
#249104542
#249104332
#249104132
#249103672
#249103612
#249102502
#249102472
#249102012
#249101842
#249101682
#249101602
#249101512
#249101372
#249101272
#249100822
#249100272
C4×#145817822
#249099572
C83×#23242
#3443183