Finite Group Databasebeta

← #35611776

Subgroups — #35611776

Order 21248.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128285C211yesmaximal, characteristic, complemented
2C2×#19128283C211yesmaximal, characteristic, complemented
3#24915744C211yesmaximal, characteristic, complemented
4#24915742C211yesmaximal, characteristic, complemented
5#24914373C211yesmaximal, characteristic, complemented
6#24914269C211yesmaximal, characteristic, complemented
7#24914268C211yesmaximal, characteristic, complemented
8#24914234C211yesmaximal, characteristic, complemented
9#24913997C211yesmaximal, characteristic, complemented
10#24913996C211yesmaximal, characteristic, complemented
11#24913974C211yesmaximal, characteristic, complemented
12#24913950C211yesmaximal, characteristic, complemented
13#24913945C211yesmaximal, characteristic, complemented
14#24913757C211yesmaximal, characteristic, complemented
15#24913755C211yesmaximal, characteristic, complemented
16#24913720C211yesmaximal, characteristic, complemented
17#24913710C211yesmaximal, characteristic, complemented
18#24913694C211yesmaximal, characteristic, complemented
19#24913693C211yesmaximal, characteristic, complemented
20#24913202C211yesmaximal, characteristic, complemented
21#24913196C211yesmaximal, characteristic, complemented
22#24912642C211yesmaximal, characteristic, complemented
23#24912640C211yesmaximal, characteristic, complemented
24#24912422C211yesmaximal, characteristic, complemented
25#24912418C211yesmaximal, characteristic, complemented
26#24910910C211yesmaximal, characteristic, complemented
27#24910907C211yesmaximal, characteristic, complemented
28#24910906C211yesmaximal, characteristic, complemented
29#24910896C211yesmaximal, characteristic, complemented
30#385×D83C211yesmaximal, characteristic, complemented
31C83×#2676C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33#19128285—28no—
34#19128283—28no—
35C2×#14581787C2211yescharacteristic
36C2×#14581786C2211yescharacteristic
37C2×#14581785C2211yescharacteristic
38C2×#14581785C2211yescharacteristic
39C2×#14581781C2211yescharacteristic
40C2×#14581779C2211yescharacteristic
41C2×#14581778C2211yescharacteristic
42C2×#14581776C2211yescharacteristic
43C2×#14581775C2211yescharacteristic
44C2×#14581774C2211yescharacteristic
45C2×#14581773C2211yescharacteristic
46C2×#14581770C2211yescharacteristic
47C2×#14581769C2211yescharacteristic, complemented
48C2×#14581768C2211yescharacteristic
49C2×#14581765C2211yescharacteristic
50C2×#14581765C2211yescharacteristic
51C2×#14581765C2211yescharacteristic
52C2×#14581765C2211yescharacteristic
53C2×#14581765C2211yescharacteristic
54C2×#14581764C2211yescharacteristic
55C2×#14581764C2211yescharacteristic
56C2×#14581764C2211yescharacteristic
57C2×#14581764C2211yescharacteristic, complemented
58C2×#14581763C2211yescharacteristic
59C2×#14581763C2211yescharacteristic
60C2×#14581763C2211yescharacteristic
61C2×#14581763C2211yescharacteristic
62C2×#14581763C2211yescharacteristic, complemented
63C2×#14581762C2211yescharacteristic
64C2×#14581760C2211yescharacteristic
65C2×#14581760C2211yescharacteristic
66C2×#14581760C2211yescharacteristic
67C2×C4×D332C2211yescharacteristic
68C2×C4×C22⋊D83C2211yescharacteristic
69C2×(C22⋊D83)⋊C4C2211yescharacteristic
70C2×(C22⋊D83)⋊C4C2211yescharacteristic
71C2×C4⋊C4×D83C2211yescharacteristic
72C2×C4⋊C4×D83C2211yescharacteristic
73C2×C22⋊C4×D83C2211yescharacteristic
74C2×C22⋊C4×D83C2211yescharacteristic
75#19127643C2211yescharacteristic, complemented
76#19127641C2211yescharacteristic, complemented
77#19127637C2211yescharacteristic, complemented
78#19127636C2211yescharacteristic, complemented
79#19127635C2211yescharacteristic, complemented
80#19127634C2211yescharacteristic, complemented
81#19127633C2211yescharacteristic, complemented
82#19127632C2211yescharacteristic, complemented
83#19127632C2211yescharacteristic, complemented
84#19127631C2211yescharacteristic, complemented
85#19127630C2211yescharacteristic
86#19127629C2211yescharacteristic
87#19127629C2211yescharacteristic, complemented
88#19127628C2211yescharacteristic
89#19127626C2211yescharacteristic
90#19127626C2211yescharacteristic, complemented
91#19127624C2211yescharacteristic, complemented
92#19127624C2211yescharacteristic, complemented
93#19127624C2211yescharacteristic, complemented
94#19127624C2211yescharacteristic, complemented
95#19127624C2211yescharacteristic, complemented
96#19127624C2211yescharacteristic, complemented
97#19127623C2211yescharacteristic, complemented
98#19127622C2211yescharacteristic, complemented
99#19127620C2211yescharacteristic, complemented
100#19127618C2211yescharacteristic
101#19127617C2211yescharacteristic
102#19127617C2211yescharacteristic
103#19127617C2211yescharacteristic, complemented
104#19127616C2211yescharacteristic
105#19127616C2211yescharacteristic
106#19127616C2211yescharacteristic, complemented
107#19127616C2211yescharacteristic, complemented
108#19127616C2211yescharacteristic, complemented
109#19127615C2211yescharacteristic
110#19127615C2211yescharacteristic
111#19127615C2211yescharacteristic, complemented
112#19127614C2211yescharacteristic, complemented
113#19127610C2211yescharacteristic
114#19127609C2211yescharacteristic
115#19127609C2211yescharacteristic
116#19127609C2211yescharacteristic, complemented
117#19127608C2211yescharacteristic, complemented
118#19127605C2211yescharacteristic, complemented
119#19127601C2211yescharacteristic, complemented
120#19127600C2211yescharacteristic, complemented
121#19127599C2211yescharacteristic, complemented
122#19127598C2211yescharacteristic, complemented
123#19127596C2211yescharacteristic, complemented
124#19127594C2211yescharacteristic, complemented
125#19127594C2211yescharacteristic, complemented
126#19127593C2211yescharacteristic, complemented
127#19127589C2211yescharacteristic, complemented
128#19127585C2211yescharacteristic, complemented
129#19127583C2211yescharacteristic, complemented
130#19127583C2211yescharacteristic, complemented
131#19127581C2211yescharacteristic
132#19127581C2211yescharacteristic
133#19127581C2211yescharacteristic, complemented
134#19127581C2211yescharacteristic, complemented
135#19127580C2211yescharacteristic
136#19127580C2211yescharacteristic, complemented
137#19127579C2211yescharacteristic
138#19127579C2211yescharacteristic
139#19127579C2211yescharacteristic
140#19127577C2211yescharacteristic
141#19127577C2211yescharacteristic
142#19127577C2211yescharacteristic
143#19127577C2211yescharacteristic
144#19127577C2211yescharacteristic
145#19127577C2211yescharacteristic
146#19127577C2211yescharacteristic
147#19127577C2211yescharacteristic
148#19127577C2211yescharacteristic
149#19127576C2211yescharacteristic
150#19127575C2211yescharacteristic
151#19127575C2211yescharacteristic
152#19127575C2211yescharacteristic, complemented
153#19127574C2211yescharacteristic
154#19127573C2211yescharacteristic
155#19127573C2211yescharacteristic, complemented
156#19127573C2211yescharacteristic, complemented
157#19127572C2211yescharacteristic
158#19127572C2211yescharacteristic
159#19127572C2211yescharacteristic, complemented
160#19127561C2211yescharacteristic
161#19127561C2211yescharacteristic, complemented
162#19127560C2211yescharacteristic
163#19127560C2211yescharacteristic
164#19127560C2211yescharacteristic
165#19127559C2211yescharacteristic
166#19127559C2211yescharacteristic, complemented
167#19127559C2211yescharacteristic, complemented
168#19127558C2211yescharacteristic
169#19127558C2211yescharacteristic
170#19127558C2211yescharacteristic
171#19127558C2211yescharacteristic, complemented
172#95×D83C2211yescharacteristic
173#95×D83C2211yescharacteristic
174C2×#124×C83C2211yescharacteristic
175C2×C22⋊Q8×C83C2211yescharacteristic, complemented
176C2×#121×C83C2211yescharacteristic
177C2×#121×C83C2211yescharacteristic
178#396×C83C2211yescharacteristic, complemented
179#394×C83C2211yescharacteristic
180#394×C83C2211yescharacteristic, complemented
181#393×C83C2211yescharacteristic, complemented
182#392×C83C2211yescharacteristic
183#392×C83C2211yescharacteristic, complemented
184#390×C83C2211yescharacteristic, complemented
185#387×C83C2211yescharacteristic, complemented
186#386×C83C2211yescharacteristic
187#386×C83C2211yescharacteristic, complemented
188#385×C83C2211yescharacteristic
189C24×D83C2311yescharacteristic
190C22×Dic166C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C22×C4×D83—42no—
207C22×C4×D83—42no—
208C22×C4×D83—42no—
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218#14581787—24no—
219#14581786—24no—
220#14581785—24no—
221#14581785—24no—
222#14581781—24no—
223#14581779—24no—
224#14581778—24no—
225#14581776—24no—
226#14581775—24no—
227#14581774—24no—
228#14581773—24no—
229#14581770—24no—
230#14581769—42no—
231#14581768—24no—
232#14581765—24no—
233#14581765—24no—
234#14581765—42no—
235#14581765—42no—
236#14581765—42no—
237#14581764—24no—
238#14581764—24no—
239#14581764—42no—
240#14581764—42no—
241#14581763—24no—
242#14581763—42no—
243#14581763—42no—
244#14581763—42no—
245#14581763—42no—
246#14581762—24no—
247#14581760—24no—
248#14581760—24no—
249#14581760—24no—
250C4×D332—24no—
251C4×C22⋊D83—24no—
252(C22⋊D83)⋊C4—24no—
253(C22⋊D83)⋊C4—24no—
254C2×C4⋊Dic83C2311yescharacteristic
255C2×C4⋊Dic83C2311yescharacteristic
256C2×C4⋊Dic83C2311yescharacteristic
257C2×C4⋊Dic83C2311yescharacteristic
258C2×C4⋊Dic83C2311yescharacteristic
259C2×C4⋊Dic83C2311yescharacteristic
260C2×C4⋊Dic83C2311yescharacteristic
261C2×C4⋊Dic83C2311yescharacteristic
262C2×C4⋊Dic83C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×Dic83⋊C4C2311yescharacteristic
265C2×Dic83⋊C4C2311yescharacteristic
266C2×Dic83⋊C4C2311yescharacteristic
267C2×Dic83⋊C4C2311yescharacteristic
268C2×Dic83⋊C4C2311yescharacteristic
269C2×Dic83⋊C4C2311yescharacteristic
270C2×Dic83⋊C4C2311yescharacteristic
271C2×Dic83⋊C4C2311yescharacteristic
272C2×Dic83⋊C4C2311yescharacteristic
273C2×Dic83⋊C4C2311yescharacteristic
274C2×Dic83⋊C4C2311yescharacteristic
275C2×Dic83⋊C4C2311yescharacteristic
276C2×Dic83⋊C4C2311yescharacteristic
277C2×Dic83⋊C4C2311yescharacteristic
278C2×Dic83⋊C4C2311yescharacteristic
279C2×Dic83⋊C4C2311yescharacteristic
280C2×Dic83⋊C4C2311yescharacteristic
281C4⋊C4×D83—42no—
282C4⋊C4×D83—42no—
283C2×C22⋊Dic83C2311yescharacteristic
284C2×C22⋊Dic83C2311yescharacteristic
285C2×C22⋊Dic83C2311yescharacteristic
286C2×C22⋊Dic83C2311yescharacteristic
287C2×C22⋊Dic83C2311yescharacteristic
288C2×C22⋊Dic83C2311yescharacteristic
289C2×C22⋊Dic83C2311yescharacteristic
290C2×C22⋊Dic83C2311yescharacteristic
291C2×C22⋊Dic83C2311yescharacteristic
292C2×C22⋊Dic83C2311yescharacteristic
293C2×C22⋊Dic83C2311yescharacteristic
294C2×C22⋊Dic83C2311yescharacteristic
295C2×C22⋊Dic83C2311yescharacteristic
296C2×C22⋊Dic83C2311yescharacteristic
297C2×C22⋊Dic83C2311yescharacteristic
298C2×C22⋊Dic83C2311yescharacteristic
299C2×C22⋊Dic83C2311yescharacteristic
300C2×C22⋊Dic83C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C2×(C2×D83)⋊C4C2311yescharacteristic
303C2×(C2×D83)⋊C4C2311yescharacteristic
304C2×(C2×D83)⋊C4C2311yescharacteristic
305C2×(C2×D83)⋊C4C2311yescharacteristic
306C2×(C2×D83)⋊C4C2311yescharacteristic
307C2×(C2×D83)⋊C4C2311yescharacteristic
308C2×(C2×D83)⋊C4C2311yescharacteristic
309C2×(C2×D83)⋊C4C2311yescharacteristic
310C2×(C2×D83)⋊C4C2311yescharacteristic
311C2×(C2×D83)⋊C4C2311yescharacteristic
312C2×(C2×D83)⋊C4C2311yescharacteristic
313C2×(C2×D83)⋊C4C2311yescharacteristic
314C2×(C2×D83)⋊C4C2311yescharacteristic
315C2×(C2×D83)⋊C4C2311yescharacteristic
316C2×(C2×D83)⋊C4C2311yescharacteristic
317C2×(C2×D83)⋊C4C2311yescharacteristic
318C2×(C2×D83)⋊C4C2311yescharacteristic
319C2×(C2×D83)⋊C4C2311yescharacteristic
320C2×(C2×D83)⋊C4C2311yescharacteristic
321C22⋊C4×D83—42no—
322C22⋊C4×D83D418yescomplemented
323C2×C4×Dic83C2311yescharacteristic
324C2×C4×Dic83C2311yescharacteristic
325C2×C4×Dic83C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
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
350C83⋊#95C2311yescharacteristic
351C83⋊#95C2311yescharacteristic
352C22×Q8×C83C2311yescharacteristic
353C22×D4×C83C2311yescharacteristic
354C22×D4×C83C2311yescharacteristic
355C22×D4×C83C2311yescharacteristic
356C22×D4×C83C2311yescharacteristic
357C22×D4×C83C2311yescharacteristic
358C22×D4×C83C2311yescharacteristic
359C23×C4×C83C2311yescharacteristic
360C23×C4×C83C2311yescharacteristic
361#124×C83—24no—
362C22⋊Q8×C83—42no—
363#121×C83—24no—
364#121×C83—42no—
365C2×C4⋊C4×C83C2311yescharacteristic
366C2×C4⋊C4×C83C2311yescharacteristic
367C2×C4⋊C4×C83C2311yescharacteristic
368C2×C4⋊C4×C83C2311yescharacteristic
369C2×C4⋊C4×C83C2311yescharacteristic
370C2×C22⋊C4×C83C2311yescharacteristic
371C2×C22⋊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×C42×C83C2311yescharacteristic
385#95×C83C2311yescharacteristic
386#95×C83C2311yescharacteristic
387#95×C83C2311yescharacteristic
388#95×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—22no—
393C23×D83—41no—
394C23×D83—41no—
395C23×D83—41no—
396C23×D83—41no—
397C23×D83C2×D414yes—
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400C23×D83C2411yescharacteristic
401C2×Dic166—22no—
402C2×Dic166—41no—
403C2×Dic166—41no—
404C2×D332—22no—
405C2×D332—22no—
406C2×D332—22no—
407C2×D332—22no—
408C2×D332—41no—
409C2×D332—41no—
410C2×C22⋊D83—22no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
414C2×C22⋊D83—22no—
415C2×C22⋊D83—22no—
416C2×C22⋊D83—22no—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—22no—
419C2×C22⋊D83—22no—
420C2×C22⋊D83—22no—
421C2×C22⋊D83—22no—
422C2×C22⋊D83—22no—
423C2×C22⋊D83—22no—
424C2×C22⋊D83—22no—
425C2×C22⋊D83—41no—
426C2×C22⋊D83—41no—
427C2×C22⋊D83—41no—
428C2×C22⋊D83—41no—
429C2×C22⋊D83—41no—
430C2×C22⋊D83—41no—
431C2×C22⋊D83—41no—
432C2×C22⋊D83—41no—
433C2×C22⋊D83—41no—
434C2×C22⋊D83—41no—
435C2×C22⋊D83—41no—
436C2×C22⋊D83—41no—
437C2×C22⋊D83—41no—
438C2×C22⋊D83—41no—
439C2×C22⋊D83—41no—
440C22×Dic83—22no—
441C22×Dic83—22no—
442C22×Dic83—22no—
443C22×Dic83—41no—
444C22×Dic83—41no—
445C22×Dic83—41no—
446C22×Dic83—41no—
447C22×Dic83—41no—
448C22×Dic83—41no—
449C22×Dic83C2411yescharacteristic
450C22×Dic83C2411yescharacteristic
451C22×Dic83C2411yescharacteristic
452C22×Dic83C2411yescharacteristic
453C22×Dic83C2411yescharacteristic
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C22×Dic83C2411yescharacteristic
459C22×Dic83C2411yescharacteristic
460C22×Dic83C2411yescharacteristic
461C22×Dic83C2411yescharacteristic
462C2×C4×D83—22no—
463C2×C4×D83—22no—
464C2×C4×D83—22no—
465C2×C4×D83—22no—
466C2×C4×D83—22no—
467C2×C4×D83—22no—
468C2×C4×D83—22no—
469C2×C4×D83—22no—
470C2×C4×D83—22no—
471C2×C4×D83—41no—
472C2×C4×D83—41no—
473C2×C4×D83—41no—
474C2×C4×D83—41no—
475C2×C4×D83—41no—
476C2×C4×D83—41no—
477C2×C4×D83—41no—
478C2×C4×D83—41no—
479C2×C4×D83—41no—
480C2×C4×D83—41no—
481C2×C4×D83—416no—
482C2×C4×D83—41no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83—41no—
487C2×C4×D83—41no—
488C2×C4×D83C2×D414yes—
489C2×C4×D83C2×D414yes—
490C4⋊Dic83—22no—
491C4⋊Dic83—22no—
492C4⋊Dic83—22no—
493C4⋊Dic83—22no—
494C4⋊Dic83—41no—
495C4⋊Dic83—41no—
496C4⋊Dic83—41no—
497C4⋊Dic83—41no—
498C4⋊Dic83—41no—
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—22no—
509Dic83⋊C4—22no—
510Dic83⋊C4—41no—
511Dic83⋊C4—41no—
512Dic83⋊C4—41no—
513Dic83⋊C4—41no—
514Dic83⋊C4—41no—
515Dic83⋊C4—41no—
516Dic83⋊C4—41no—
517C22⋊Dic83—22no—
518C22⋊Dic83—22no—
519C22⋊Dic83—22no—
520C22⋊Dic83—22no—
521C22⋊Dic83—22no—
522C22⋊Dic83—22no—
523C22⋊Dic83—22no—
524C22⋊Dic83—22no—
525C22⋊Dic83—41no—
526C22⋊Dic83—41no—
527C22⋊Dic83—41no—
528C22⋊Dic83—41no—
529C22⋊Dic83—41no—
530C22⋊Dic83—41no—
531C22⋊Dic83—41no—
532C22⋊Dic83—41no—
533C22⋊Dic83—41no—
534C22⋊Dic83C2×D414yes—
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—22no—
545(C2×D83)⋊C4—22no—
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)⋊C4C2×D414yes—
554(C2×D83)⋊C4C2×D414yes—
555C4×Dic83—22no—
556C4×Dic83—22no—
557C4×Dic83—22no—
558C24×C83C2411yescharacteristic
559C24×C83C2411yescharacteristic
560C24×C83C2411yescharacteristic
561C24×C83C2411yescharacteristic
562C2×Q8×C83—22no—
563C2×Q8×C83—41no—
564C2×Q8×C83—41no—
565C2×D4×C83—22no—
566C2×D4×C83—22no—
567C2×D4×C83—22no—
568C2×D4×C83—22no—
569C2×D4×C83—22no—
570C2×D4×C83—41no—
571C2×D4×C83—41no—
572C2×D4×C83—41no—
573C2×D4×C83—41no—
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—
583C22×C4×C83—22no—
584C22×C4×C83—22no—
585C22×C4×C83—41no—
586C22×C4×C83—41no—
587C22×C4×C83—41no—
588C22×C4×C83—41no—
589C22×C4×C83C2411yescharacteristic
590C22×C4×C83C2411yescharacteristic
591C22×C4×C83C2411yescharacteristic
592C22×C4×C83C2411yescharacteristic
593C22×C4×C83C2411yescharacteristic
594C22×C4×C83C2411yescharacteristic
595C22×C4×C83C2411yescharacteristic
596C22×C4×C83C2411yescharacteristic
597C22×C4×C83C2411yescharacteristic
598C22×C4×C83C2411yescharacteristic
599C22×C4×C83C2411yescharacteristic
600C4⋊C4×C83—22no—
601C4⋊C4×C83—22no—
602C4⋊C4×C83—22no—
603C4⋊C4×C83—41no—
604C4⋊C4×C83—41no—
605C22⋊C4×C83—22no—
606C22⋊C4×C83—22no—
607C22⋊C4×C83—22no—
608C22⋊C4×C83—22no—
609C22⋊C4×C83—22no—
610C22⋊C4×C83—41no—
611C22⋊C4×C83—41no—
612C22⋊C4×C83—41no—
613C22⋊C4×C83—41no—
614C22⋊C4×C83—41no—
615C22⋊C4×C83—41no—
616C22⋊C4×C83—41no—
617C22⋊C4×C83—41no—
618C22⋊C4×C83C2×D414yes—
619C42×C83—22no—
620C23×C83—21no—
621C23×C83—21no—
622C23×C83—21no—
623C23×C83—21no—
624C23×C83—21no—
625C23×C83—21no—
626C23×C83—21no—
627C23×C83—21no—
628C23×C83—21no—
629C23×C83—21no—
630C23×C83—21no—
631C23×C83—21no—
632C23×C83—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×C83C22×D412yes—
648C23×C83C2511yescharacteristic
649C22×D83—21no—
650C22×D83—21no—
651C22×D83—21no—
652C22×D83—21no—
653C22×D83—21no—
654C22×D83—21no—
655C22×D83—21no—
656C22×D83—21no—
657C22×D83—21no—
658C22×D83—21no—
659C22×D83—28no—
660C22×D83—21no—
661C22×D83—21no—
662C22×D83—21no—
663C22×D83—21no—
664C22×D83—21no—
665C22×D83—21no—
666C22×D83—21no—
667C22×D83—44no—
668C22×D83—44no—
669C22×D83—44no—
670C22×D83—44no—
671C22×D83—44no—
672C22×D83—44no—
673C22×D83C22×D412yes—
674C22×D83C22×D412yes—
675C22×D83H(5,𝔽2)12yes—
676C22×D832−1+412yes—
677Q8×C83—82no—
678D4×C83—82no—
679D4×C83—82no—
680D4×C83—82no—
681D4×C83—82no—
682D4×C83—82no—
683D4×C83—82no—
684C2×C4×C83—21no—
685C2×C4×C83—21no—
686C2×C4×C83—21no—
687C2×C4×C83—21no—
688C2×C4×C83—21no—
689C2×C4×C83—21no—
690C2×C4×C83—21no—
691C2×C4×C83—21no—
692C2×C4×C83—21no—
693C2×C4×C83—21no—
694C2×C4×C83—21no—
695C2×C4×C83—21no—
696C2×C4×C83—21no—
697C2×C4×C83—21no—
698C2×C4×C83—21no—
699C2×C4×C83—21no—
700C2×C4×C83—21no—
701C2×C4×C83—21no—
702C2×C4×C83—21no—
703C2×C4×C83—21no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—21no—
714C2×C4×C83—44no—
715C2×C4×C83—82no—
716C2×C4×C83C22×D412yes—
717C2×C4×C83C22×D412yes—
718C2×C4×C83H(5,𝔽2)12yes—
719C22⋊D83—44no—
720C22⋊D83—44no—
721C22⋊D83—44no—
722C22⋊D83—82no—
723C22⋊D83—82no—
724C22⋊D83—82no—
725C22⋊D83—82no—
726C22⋊D83—82no—
727C22⋊D83—82no—
728C22⋊D83—82no—
729C2×Dic83—21no—
730C2×Dic83—21no—
731C2×Dic83—21no—
732C2×Dic83—21no—
733C2×Dic83—21no—
734C2×Dic83—21no—
735C2×Dic83—21no—
736C2×Dic83—21no—
737C2×Dic83—21no—
738C2×Dic83—21no—
739C2×Dic83—21no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—21no—
743C2×Dic83—21no—
744C2×Dic83—21no—
745C2×Dic83—21no—
746C2×Dic83—21no—
747C2×Dic83—21no—
748C2×Dic83—21no—
749C2×Dic83—21no—
750C2×Dic83—21no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—21no—
755C2×Dic83—21no—
756C2×Dic83—21no—
757C2×Dic83—21no—
758C2×Dic83—21no—
759C2×Dic83—21no—
760C2×Dic83—21no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—21no—
764C2×Dic83—21no—
765C2×Dic83—44no—
766C2×Dic83—82no—
767C2×Dic83—82no—
768C2×Dic83C22×D412yes—
769C2×Dic83C22×D412yes—
770C2×Dic83H(5,𝔽2)12yes—
771D332—44no—
772D332—82no—
773C4×D83—44no—
774C4×D83—44no—
775C4×D83—44no—
776C4×D83—44no—
777C4×D83—44no—
778C4×D83—44no—
779C4×D83—82no—
780C4×D83—82no—
781C4×D83—82no—
782Dic166—82no—
783C22×C83—22no—
784C22×C83—22no—
785C22×C83—22no—
786C22×C83—41no—
787C22×C83—41no—
788C22×C83—41no—
789C22×C83—41no—
790C22×C83—41no—
791C22×C83—41no—
792C22×C83—41no—
793C22×C83—41no—
794C22×C83—41no—
795C22×C83—41no—
796C22×C83—41no—
797C22×C83—41no—
798C22×C83—41no—
799C22×C83—41no—
800C22×C83—41no—
801C22×C83—41no—
802C22×C83—41no—
803C22×C83—41no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83—41no—
808C22×C83—41no—
809C22×C83—41no—
810C22×C83—41no—
811C22×C83C23×D411yescharacteristic
812C22×C83C2×H(5,𝔽2)11yescharacteristic
813C22×C83C2×H(5,𝔽2)11yescharacteristic
814C22×C83C2×H(5,𝔽2)11yescharacteristic
815C22×C83C2×2−1+411yescharacteristic
816C22×C83#58511yescharacteristic
817C22×C83#58511yescharacteristic
818C2×D83—22no—
819C2×D83—22no—
820C2×D83—22no—
821C2×D83—22no—
822C2×D83—22no—
823C2×D83—22no—
824C2×D83—22no—
825C2×D83—22no—
826C2×D83—22no—
827C2×D83—416no—
828C2×D83—41no—
829C2×D83—41no—
830C2×D83—41no—
831C2×D83—41no—
832C2×D83—41no—
833C2×D83—41no—
834C2×D83—41no—
835C2×D83—41no—
836C2×D83—41no—
837C2×D83—41no—
838C2×D83—41no—
839C2×D83#53714yes—
840C4×C83—22no—
841C4×C83—22no—
842C4×C83—22no—
843C4×C83—41no—
844C4×C83—41no—
845C4×C83—41no—
846C4×C83—41no—
847C4×C83—41no—
848C4×C83—41no—
849C4×C83—41no—
850C4×C83—41no—
851Dic83—22no—
852Dic83—22no—
853Dic83—22no—
854Dic83—41no—
855Dic83—41no—
856Dic83—41no—
857Dic83—41no—
858Dic83—41no—
859Dic83—41no—
860Dic83—41no—
861Dic83—41no—
862Dic83—41no—
863Dic83—41no—
864#36738—831nomaximal, Sylow
865C2×C83—42no—
866C2×C83—81no—
867C2×C83—81no—
868C2×C83—81no—
869C2×C83C2×#53711yescharacteristic
870C2×C83#349611yescharacteristic
871C2×C83#349611yescharacteristic
872C2×C83#353211yescharacteristic
873C2×C83#353311yescharacteristic
874C2×C83#354111yescharacteristic
875C2×C83#354111yescharacteristic
876D83—24no—
877D83—42no—
878D83—81no—
879C2×#538—831no—
880C2×#538—831no—
881#2847—831no—
882#2847—831no—
883#2722—831no—
884#2715—831no—
885#2715—831no—
886#2712—831no—
887#2695—831no—
888#2695—831no—
889#2693—831no—
890#2691—831no—
891#2691—831no—
892#2676—831no—
893#2676D8311yescharacteristic, complemented
894#2675—831no—
895#2672—831no—
896#2672—831no—
897#2671—831no—
898#2671—831no—
899#2617—831no—
900#2617—831no—
901#2564—831no—
902#2564—831no—
903#2543—831no—
904#2543—831no—
905#2417—831no—
906#2417—831no—
907#2416—831no—
908#2416—831no—
909C2×#385—831no—
910C83#3673811yescharacteristic, complemented, Sylow
911C24×C4—831no—
912#538—1668no—
913#538—1668no—
914C2×#126—831no—
915C2×#126—831no—
916C2×#126—831no—
917C2×#126—831no—
918C2×#124—831no—
919C2×#124—831no—
920C2×#124—831no—
921C2×#124C2×D8311yescharacteristic
922C2×#123—831no—
923C2×#123—831no—
924C2×#123—831no—
925C2×#123—831no—
926C2×C22⋊Q8—831no—
927C2×C22⋊Q8—831no—
928C2×C22⋊Q8—831no—
929C2×C22⋊Q8C2×D8311yescharacteristic, complemented
930C2×#121—831no—
931C2×#121—831no—
932C2×#121—831no—
933C2×#121—831no—
934C2×#121—831no—
935C2×#121—831no—
936C2×#121—831no—
937C2×#121—831no—
938C2×#121—831no—
939C2×#121—831no—
940C2×#121—831no—
941C2×#121—831no—
942C2×#121—831no—
943C2×#121—831no—
944C2×#121C2×D8311yescharacteristic
945C2×#121C2×D8311yescharacteristic
946C2×#120—831no—
947C2×#120—831no—
948C2×#120—831no—
949C2×#120—831no—
950C2×C4×D4—831no—
951C2×C4×D4—831no—
952C2×C4×D4—831no—
953C2×C4×D4—831no—
954C22×C4⋊C4—831no—
955C22×C4⋊C4—831no—
956C22×C22⋊C4—831no—
957C22×C22⋊C4—831no—
958#400—831no—
959#400—831no—
960#399—831no—
961#399—831no—
962#398—831no—
963#398—831no—
964#398—831no—
965#398—831no—
966#398—831no—
967#398—831no—
968#397—831no—
969#397—831no—
970#397—831no—
971#397—831no—
972#397—831no—
973#397—831no—
974#396—831no—
975#396—831no—
976#396—831no—
977#396—831no—
978#396—831no—
979#396—831no—
980#396—831no—
981#396C2×D8311yescharacteristic, complemented
982#395—831no—
983#395—831no—
984#394—831no—
985#394—831no—
986#394—831no—
987#394—831no—
988#394—831no—
989#394—831no—
990#394—831no—
991#394—831no—
992#394—831no—
993#394—831no—
994#394—831no—
995#394—831no—
996#394C2×D8311yescharacteristic
997#394C2×D8311yescharacteristic, complemented
998#393—831no—
999#393C2×D8311yescharacteristic, complemented
1000#392—831no—
1001#392—831no—
1002#392—831no—
1003#392—831no—
1004#392C2×D8311yescharacteristic
1005#392C2×D8311yescharacteristic, complemented
1006#391—831no—
1007#391—831no—
1008#390—831no—
1009#390C2×D8311yescharacteristic, complemented
1010#389—831no—
1011#389—831no—
1012#389—831no—
1013#389—831no—
1014#388—831no—
1015#388—831no—
1016#388—831no—
1017#388—831no—
1018#387—831no—
1019#387—831no—
1020#387—831no—
1021#387C2×D8311yescharacteristic, complemented
1022#386—831no—
1023#386—831no—
1024#386—831no—
1025#386—831no—
1026#386—831no—
1027#386—831no—
1028#386—831no—
1029#386—831no—
1030#386—831no—
1031#386—831no—
1032#386—831no—
1033#386—831no—
1034#386—831no—
1035#386—831no—
1036#386—831no—
1037#386—831no—
1038#386—831no—
1039#386—831no—
1040#386C2×D8311yescharacteristic
1041#386C2×D8311yescharacteristic, complemented
1042#385—831no—
1043#385—831no—
1044#385—831no—
1045#385—831no—
1046#385—831no—
1047#385—831no—
1048#385—831no—
1049#385—831no—
1050#385—831no—
1051#385—831no—
1052#385—831no—
1053#385C2×D8311yescharacteristic
1054#380—831no—
1055#380—831no—
1056#380—831no—
1057#380—831no—
1058#380—831no—
1059#380—831no—
1060#380—831no—
1061#380—831no—
1062#380—831no—
1063#380—831no—
1064#380—831no—
1065#380—831no—
1066C2×#95—831no—
1067C2×#95—831no—
1068C25—831no—
1069C22×Q8—831no—
1070C22×Q8C22×D8311yescharacteristic
1071C22×D4—831no—
1072C22×D4—831no—
1073C22×D4—831no—
1074C22×D4—831no—
1075C22×D4—831no—
1076C22×D4—831no—
1077C22×D4—831no—
1078C22×D4—831no—
1079C22×D4—831no—
1080C22×D4—831no—
1081C22×D4—831no—
1082C22×D4—831no—
1083C22×D4C22×D8311yescharacteristic
1084C22×D4C22×D8311yescharacteristic
1085C22×D4C22×D8311yescharacteristic
1086C22×D4C22×D8311yescharacteristic
1087C22×D4C22×D8311yescharacteristic
1088C22×D4C22×D8311yescharacteristic
1089C23×C4—3322no—
1090C23×C4—3322no—
1091C23×C4—3322no—
1092C23×C4—831no—
1093C23×C4—831no—
1094C23×C4—831no—
1095C23×C4—831no—
1096C23×C4—831no—
1097C23×C4—831no—
1098C23×C4—831no—
1099C23×C4—831no—
1100C23×C4—831no—
1101C23×C4—831no—
1102C23×C4—831no—
1103C23×C4—831no—
1104C23×C4C22×D8311yescharacteristic
1105C23×C4C22×D8311yescharacteristic
1106#126—1664no—
1107#126—1664no—
1108#126—1664no—
1109#126—1664no—
1110#124—24no—
1111#124—1664no—
1112#124—1664no—
1113#124—1664no—
1114#123—1664no—
1115#123—1664no—
1116#123—1664no—
1117#123—1664no—
1118C22⋊Q8—42no—
1119C22⋊Q8—3322no—
1120C22⋊Q8—1664no—
1121C22⋊Q8—1664no—
1122#121—24no—
1123#121—42no—
1124#121—3322no—
1125#121—3322no—
1126#121—3322no—
1127#121—3322no—
1128#121—3322no—
1129#121—3322no—
1130#121—3322no—
1131#121—3322no—
1132#121—3322no—
1133#121—1664no—
1134#121—1664no—
1135#121—1664no—
1136#121—1664no—
1137#121—1664no—
1138#120—1664no—
1139#120—1664no—
1140#120—1664no—
1141#120—1664no—
1142C4×D4—1664no—
1143C4×D4—1664no—
1144C4×D4—1664no—
1145C4×D4—1664no—
1146C2×C4⋊C4—3322no—
1147C2×C4⋊C4—3322no—
1148C2×C4⋊C4—831no—
1149C2×C4⋊C4—831no—
1150C2×C4⋊C4—831no—
1151C2×C4⋊C4—831no—
1152C2×C4⋊C4—831no—
1153C2×C4⋊C4—831no—
1154C2×C4⋊C4—831no—
1155C2×C4⋊C4—831no—
1156C2×C4⋊C4—831no—
1157C2×C4⋊C4—831no—
1158C2×C4⋊C4—831no—
1159C2×C4⋊C4—831no—
1160C2×C4⋊C4—831no—
1161C2×C4⋊C4—831no—
1162C2×C4⋊C4—831no—
1163C2×C4⋊C4—831no—
1164C2×C4⋊C4—831no—
1165C2×C4⋊C4—831no—
1166C2×C4⋊C4—831no—
1167C2×C4⋊C4—831no—
1168C2×C4⋊C4—831no—
1169C2×C4⋊C4—831no—
1170C2×C4⋊C4—831no—
1171C2×C4⋊C4—831no—
1172C2×C4⋊C4—831no—
1173C2×C4⋊C4—831no—
1174C2×C4⋊C4—831no—
1175C2×C4⋊C4C22×D8311yescharacteristic
1176C2×C4⋊C4C22×D8311yescharacteristic
1177C2×C4⋊C4C22×D8311yescharacteristic
1178C2×C4⋊C4C22×D8311yescharacteristic
1179C2×C4⋊C4C22×D8311yescharacteristic
1180C2×C22⋊C4—3322no—
1181C2×C22⋊C4—831no—
1182C2×C22⋊C4—831no—
1183C2×C22⋊C4—831no—
1184C2×C22⋊C4—831no—
1185C2×C22⋊C4—831no—
1186C2×C22⋊C4—831no—
1187C2×C22⋊C4—831no—
1188C2×C22⋊C4—831no—
1189C2×C22⋊C4—831no—
1190C2×C22⋊C4—831no—
1191C2×C22⋊C4—831no—
1192C2×C22⋊C4—831no—
1193C2×C22⋊C4—831no—
1194C2×C22⋊C4—831no—
1195C2×C22⋊C4—831no—
1196C2×C22⋊C4—831no—
1197C2×C22⋊C4—831no—
1198C2×C22⋊C4—831no—
1199C2×C22⋊C4—831no—
1200C2×C22⋊C4—838no—
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⋊C4C22×D8311yescharacteristic
1221C2×C22⋊C4C22×D8311yescharacteristic
1222C2×C22⋊C4C22×D8311yescharacteristic
1223C2×C22⋊C4C22×D8311yescharacteristic
1224C2×C22⋊C4C22×D8311yescharacteristic
1225C2×C22⋊C4C22×D8311yescharacteristic
1226C2×C22⋊C4C22×D8311yescharacteristic
1227C2×C22⋊C4C22×D8311yescharacteristic
1228C2×C22⋊C4C22×D8311yescharacteristic
1229C2×C22⋊C4C22×D8311yescharacteristic
1230C2×C22⋊C4C22×D8311yescharacteristic
1231C2×C22⋊C4C22×D8311yescharacteristic
1232C2×C22⋊C4C22×D8311yescharacteristic
1233C2×C22⋊C4C22×D8311yescharacteristic
1234C2×C42—831no—
1235C2×C42—831no—
1236C2×C42—831no—
1237C2×C42C22×D8311yescharacteristic
1238#95—831no—
1239#95—831no—
1240#95—831no—
1241#95—831no—
1242#95—831no—
1243#95—831no—
1244#95—831no—
1245#95—831no—
1246#95—831no—
1247#95—831no—
1248#95—831no—
1249#95—831no—
1250#95—831no—
1251#95—831no—
1252#95—831no—
1253#95—831no—
1254#95—831no—
1255#95—831no—
1256#95—831no—
1257#95—831no—
1258#95—831no—
1259#95—831no—
1260#95—831no—
1261#95—831no—
1262#95—831no—
1263#95—831no—
1264#95C22×D8311yescharacteristic
1265#95C22×D8311yescharacteristic
1266#95C22×D8311yescharacteristic
1267#95C22×D8311yescharacteristic
1268#95C22×D8311yescharacteristic
1269#95C22×D8311yescharacteristic
1270C24—3321no—
1271C24—3321no—
1272C24—3321no—
1273C24—3321no—
1274C24—834no—
1275C24—831no—
1276C24—831no—
1277C24—831no—
1278C24—1662no—
1279C24—1662no—
1280C24C23×D8311yescharacteristic
1281C24C23×D8311yescharacteristic
1282C24C23×D8311yescharacteristic
1283C24C23×D8311yescharacteristic
1284C2×Q8—22no—
1285C2×Q8—41no—
1286C2×Q8—41no—
1287C2×Q8—3321no—
1288C2×Q8—3321no—
1289C2×Q8—1662no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—3321no—
1309C2×D4—3321no—
1310C2×D4—3321no—
1311C2×D4—3321no—
1312C2×D4—3321no—
1313C2×D4—3321no—
1314C2×D4—3321no—
1315C2×D4—3321no—
1316C2×D4—3321no—
1317C2×D4—3321no—
1318C2×D4—3321no—
1319C2×D4—3321no—
1320C2×D4—3321no—
1321C2×D4—3321no—
1322C2×D4—3321no—
1323C2×D4—3321no—
1324C2×D4—3321no—
1325C2×D4—1662no—
1326C2×D4—1662no—
1327C2×D4—1662no—
1328C2×D4—1662no—
1329C2×D4—1662no—
1330C2×D4—1662no—
1331C2×D4—1662no—
1332C2×D4—1662no—
1333C2×D4—1662no—
1334C2×D4—1662no—
1335C2×D4—1662no—
1336C2×D4—1662no—
1337C2×D4—1662no—
1338C2×D4—1662no—
1339C2×D4—1662no—
1340C2×D4—1662no—
1341C2×D4—1662no—
1342C2×D4—1662no—
1343C2×D4—1662no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
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—33216no—
1367C22×C4—3321no—
1368C22×C4—3321no—
1369C22×C4—3321no—
1370C22×C4—3321no—
1371C22×C4—3321no—
1372C22×C4—3321no—
1373C22×C4—834no—
1374C22×C4—834no—
1375C22×C4—831no—
1376C22×C4—831no—
1377C22×C4—831no—
1378C22×C4—831no—
1379C22×C4—831no—
1380C22×C4—831no—
1381C22×C4—831no—
1382C22×C4—831no—
1383C22×C4—831no—
1384C22×C4—831no—
1385C22×C4—831no—
1386C22×C4—831no—
1387C22×C4—831no—
1388C22×C4—1662no—
1389C22×C4—1662no—
1390C22×C4—1662no—
1391C22×C4—1662no—
1392C22×C4—1662no—
1393C22×C4—1662no—
1394C22×C4—1662no—
1395C22×C4—1662no—
1396C22×C4—1662no—
1397C22×C4—1662no—
1398C22×C4—1662no—
1399C22×C4—1662no—
1400C22×C4C23×D8311yescharacteristic
1401C22×C4C23×D8311yescharacteristic
1402C22×C4C23×D8311yescharacteristic
1403C22×C4C23×D8311yescharacteristic
1404C22×C4C23×D8311yescharacteristic
1405C22×C4C23×D8311yescharacteristic
1406C22×C4C23×D8311yescharacteristic
1407C22×C4C23×D8311yescharacteristic
1408C22×C4C23×D8311yescharacteristic
1409C22×C4C23×D8311yescharacteristic
1410C22×C4C23×D8311yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—3321no—
1417C4⋊C4—3321no—
1418C4⋊C4—3321no—
1419C4⋊C4—3321no—
1420C4⋊C4—3321no—
1421C4⋊C4—3321no—
1422C4⋊C4—3321no—
1423C4⋊C4—3321no—
1424C4⋊C4—3321no—
1425C4⋊C4—3321no—
1426C4⋊C4—3321no—
1427C4⋊C4—3321no—
1428C4⋊C4—1662no—
1429C4⋊C4—1662no—
1430C4⋊C4—1662no—
1431C4⋊C4—1662no—
1432C4⋊C4—1662no—
1433C4⋊C4—1662no—
1434C4⋊C4—1662no—
1435C4⋊C4—1662no—
1436C4⋊C4—1662no—
1437C4⋊C4—1662no—
1438C4⋊C4—1662no—
1439C4⋊C4—1662no—
1440C4⋊C4—1662no—
1441C4⋊C4—1662no—
1442C4⋊C4—1662no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—3321no—
1457C22⋊C4—3321no—
1458C22⋊C4—3321no—
1459C22⋊C4—3321no—
1460C22⋊C4—3321no—
1461C22⋊C4—3321no—
1462C22⋊C4—3321no—
1463C22⋊C4—3321no—
1464C22⋊C4—3321no—
1465C22⋊C4—3321no—
1466C22⋊C4—3321no—
1467C22⋊C4—3321no—
1468C22⋊C4—3321no—
1469C22⋊C4—3321no—
1470C22⋊C4—3321no—
1471C22⋊C4—3321no—
1472C22⋊C4—834no—
1473C22⋊C4—834no—
1474C22⋊C4—834no—
1475C22⋊C4—1662no—
1476C22⋊C4—1662no—
1477C22⋊C4—1662no—
1478C22⋊C4—1662no—
1479C22⋊C4—1662no—
1480C22⋊C4—1662no—
1481C22⋊C4—1662no—
1482C22⋊C4—1662no—
1483C22⋊C4—1662no—
1484C22⋊C4—1662no—
1485C22⋊C4—1662no—
1486C22⋊C4—1662no—
1487C22⋊C4—1662no—
1488C22⋊C4—1662no—
1489C22⋊C4—1662no—
1490C22⋊C4—1662no—
1491C22⋊C4—1662no—
1492C22⋊C4—1662no—
1493C22⋊C4—1662no—
1494C22⋊C4D4×D8314yes—
1495C42—22no—
1496C42—1662no—
1497C42—1662no—
1498C42—1662no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—3324no—
1527C23—3324no—
1528C23—3324no—
1529C23—3324no—
1530C23—3324no—
1531C23—3324no—
1532C23—832no—
1533C23—832no—
1534C23—832no—
1535C23—832no—
1536C23—1668no—
1537C23—1661no—
1538C23—1661no—
1539C23—1661no—
1540C23—1661no—
1541C23—1661no—
1542C23—1661no—
1543C23—1661no—
1544C23—1661no—
1545C23—1661no—
1546C23—1661no—
1547C23—1661no—
1548C23—1661no—
1549C23—1661no—
1550C23—1661no—
1551C23—1661no—
1552C23—1661no—
1553C23—1661no—
1554C23C2×D4×D8312yes—
1555C23C24×D8311yescharacteristic
1556Q8—82no—
1557Q8—6642no—
1558D4—82no—
1559D4—82no—
1560D4—82no—
1561D4—82no—
1562D4—82no—
1563D4—82no—
1564D4—3324no—
1565D4—3324no—
1566D4—3324no—
1567D4—3324no—
1568D4—6642no—
1569D4—6642no—
1570D4—6642no—
1571D4—6642no—
1572D4—6642no—
1573D4—6642no—
1574D4—6642no—
1575D4—6642no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—44no—
1607C2×C4—82no—
1608C2×C4—3324no—
1609C2×C4—3324no—
1610C2×C4—3324no—
1611C2×C4—3324no—
1612C2×C4—3324no—
1613C2×C4—3324no—
1614C2×C4—3324no—
1615C2×C4—832no—
1616C2×C4—832no—
1617C2×C4—832no—
1618C2×C4—6642no—
1619C2×C4—6642no—
1620C2×C4—6642no—
1621C2×C4—6642no—
1622C2×C4—6642no—
1623C2×C4—1661no—
1624C2×C4—1661no—
1625C2×C4—1661no—
1626C2×C4—1661no—
1627C2×C4—1661no—
1628C2×C4—1661no—
1629C2×C4—1661no—
1630C2×C4—1661no—
1631C2×C4—1661no—
1632C2×C4—1661no—
1633C2×C4—1661no—
1634C2×C4—1661no—
1635C2×C4—1661no—
1636C2×C4—1661no—
1637C2×C4—1661no—
1638C2×C4—1661no—
1639C2×C4—1661no—
1640C2×C4—1661no—
1641C2×C4—1661no—
1642C2×C4—1661no—
1643C2×C4—1661no—
1644C2×C4—1661no—
1645C2×C4—1661no—
1646C2×C4—1661no—
1647C2×C4—1661no—
1648C2×C4—1661no—
1649C2×C4—1661no—
1650C2×C4—1661no—
1651C2×C4—1661no—
1652C2×C4—1661no—
1653C2×C4—1661no—
1654C2×C4—1661no—
1655C2×C4—1661no—
1656C2×C4—1661no—
1657C2×C4—1661no—
1658C2×C4—1661no—
1659C2×C4C2×D4×D8312yes—
1660C2×C4C2×D4×D8312yes—
1661C2×C4#1458183712yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—33216no—
1691C22—3321no—
1692C22—3321no—
1693C22—3321no—
1694C22—3321no—
1695C22—3321no—
1696C22—3321no—
1697C22—3321no—
1698C22—3321no—
1699C22—3321no—
1700C22—3321no—
1701C22—3321no—
1702C22—834no—
1703C22—1662no—
1704C22—1662no—
1705C22—1662no—
1706C22—1662no—
1707C22—1662no—
1708C22—1662no—
1709C22—1662no—
1710C22—1662no—
1711C22—1662no—
1712C22C22×D4×D8311yescharacteristic
1713C22H(5,𝔽2)×D8311yescharacteristic
1714C22H(5,𝔽2)×D8311yescharacteristic
1715C22C2×#1458183711yescharacteristic
1716C222−1+4×D8311yescharacteristic
1717C22#1912853611yescharacteristic
1718C22#1912853711yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—3321no—
1731C4—3321no—
1732C4—3321no—
1733C4—3321no—
1734C4—3321no—
1735C4—3321no—
1736C4—3321no—
1737C4—3321no—
1738C4—3321no—
1739C4—3321no—
1740C4—1662no—
1741C4—1662no—
1742C4—1662no—
1743C2—42no—
1744C2—81no—
1745C2—81no—
1746C2—81no—
1747C2—3322no—
1748C2—6641no—
1749C2—1664no—
1750C2#537×D8311yescharacteristic
1751C2#2492121911yescharacteristic
1752C2#2492122311yescharacteristic
1753C2#2492161711yescharacteristic
1754C2#2492163011yescharacteristic
1755C2#2492174511yescharacteristic
1756C2#2492175411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2676C2
hypercenter#2676D83
hypocenterC83#36738
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2676

Complements

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

NH ≅ G/Ntype
1. C2×#19128285C2semidirect
2. C2×#19128283C2semidirect
3. #24915744C2semidirect
4. #24915742C2semidirect
5. #24914373C2semidirect
6. #24914269C2semidirect
7. #24914268C2semidirect
8. #24914234C2semidirect
9. #24913997C2semidirect
10. #24913996C2semidirect
11. #24913974C2semidirect
12. #24913950C2semidirect
13. #24913945C2semidirect
14. #24913757C2semidirect
15. #24913755C2semidirect
16. #24913720C2semidirect
17. #24913710C2semidirect
18. #24913694C2semidirect
19. #24913693C2semidirect
20. #24913202C2semidirect
21. #24913196C2semidirect
22. #24912642C2semidirect
23. #24912640C2semidirect
24. #24912422C2semidirect
25. #24912418C2semidirect
26. #24910910C2semidirect
27. #24910907C2semidirect
28. #24910906C2semidirect
29. #24910896C2semidirect
30. #385×D83C2semidirect
31. C83×#2676C2semidirect
47. C2×#14581769C22semidirect
57. C2×#14581764C22semidirect
62. C2×#14581763C22semidirect
75. #19127643C22semidirect
76. #19127641C22semidirect
77. #19127637C22semidirect
78. #19127636C22semidirect
79. #19127635C22semidirect
80. #19127634C22semidirect
81. #19127633C22semidirect
82. #19127632C22semidirect
83. #19127632C22semidirect
84. #19127631C22semidirect
87. #19127629C22semidirect
90. #19127626C22semidirect
91. #19127624C22semidirect
92. #19127624C22semidirect
93. #19127624C22semidirect
94. #19127624C22semidirect
95. #19127624C22semidirect
96. #19127624C22semidirect
97. #19127623C22semidirect
98. #19127622C22semidirect
99. #19127620C22semidirect
103. #19127617C22semidirect
106. #19127616C22semidirect
107. #19127616C22semidirect
108. #19127616C22semidirect
111. #19127615C22semidirect
112. #19127614C22semidirect
116. #19127609C22semidirect
117. #19127608C22semidirect
118. #19127605C22semidirect
119. #19127601C22semidirect
120. #19127600C22semidirect
121. #19127599C22semidirect
122. #19127598C22semidirect
123. #19127596C22semidirect
124. #19127594C22semidirect
125. #19127594C22semidirect
126. #19127593C22semidirect
127. #19127589C22semidirect
128. #19127585C22semidirect
129. #19127583C22semidirect
130. #19127583C22semidirect
133. #19127581C22semidirect
134. #19127581C22semidirect
136. #19127580C22semidirect
152. #19127575C22semidirect
155. #19127573C22semidirect
156. #19127573C22semidirect
159. #19127572C22semidirect
161. #19127561C22semidirect
166. #19127559C22semidirect
167. #19127559C22semidirect
171. #19127558C22semidirect
175. C2×C22⋊Q8×C83C22semidirect
178. #396×C83C22semidirect
180. #394×C83C22semidirect
181. #393×C83C22semidirect
183. #392×C83C22semidirect
184. #390×C83C22semidirect
185. #387×C83C22semidirect
187. #386×C83C22semidirect
322. C22⋊C4×D83D4semidirect
893. #2676D83semidirect
910. C83#36738semidirect
929. C2×C22⋊Q8C2×D83semidirect
981. #396C2×D83semidirect
997. #394C2×D83semidirect
999. #393C2×D83semidirect
1005. #392C2×D83semidirect
1009. #390C2×D83semidirect
1021. #387C2×D83semidirect
1041. #386C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282852
C2×#191282832
#249157442
#249157422
#249143732
#249142692
#249142682
#249142342
#249139972
#249139962
#249139742
#249139502
#249139452
#249137572
#249137552
#249137202
#249137102
#249136942
#249136932
#249132022
#249131962
#249126422
#249126402
#249124222
#249124182
#249109102
#249109072
#249109062
#249108962
#385×D832
C83×#26762
#3673883