Finite Group Databasebeta

← #35611428

Subgroups — #35611428

Order 21248.

2602 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128294C211yesmaximal, characteristic, complemented
2C2×#123×D83C211yesmaximal, characteristic, complemented
3#24915749C211yesmaximal, characteristic, complemented
4#24915742C211yesmaximal, characteristic, complemented
5#24914172C211yesmaximal, characteristic, complemented
6#24914170C211yesmaximal, characteristic, complemented
7#24914164C211yesmaximal, characteristic, complemented
8#24914162C211yesmaximal, characteristic, complemented
9#24914143C211yesmaximal, characteristic, complemented
10#24914141C211yesmaximal, characteristic, complemented
11#24914131C211yesmaximal, characteristic, complemented
12#24914129C211yesmaximal, characteristic, complemented
13#24913830C211yesmaximal, characteristic, complemented
14#24913828C211yesmaximal, characteristic, complemented
15#24913824C211yesmaximal, characteristic, complemented
16#24913821C211yesmaximal, characteristic, complemented
17#24913816C211yesmaximal, characteristic, complemented
18#24913812C211yesmaximal, characteristic, complemented
19#24913809C211yesmaximal, characteristic, complemented
20#24913273C211yesmaximal, characteristic, complemented
21#24913196C211yesmaximal, characteristic, complemented
22#24912808C211yesmaximal, characteristic, complemented
23#24912805C211yesmaximal, characteristic, complemented
24#24910845C211yesmaximal, characteristic, complemented
25#24910845C211yesmaximal, characteristic, complemented
26#24910841C211yesmaximal, characteristic, complemented
27#24910841C211yesmaximal, characteristic, complemented
28#24910815C211yesmaximal, characteristic, complemented
29#24910812C211yesmaximal, characteristic, complemented
30#24910078C211yesmaximal, characteristic, complemented
31C83×#2682C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34#19128294—28no—
35C2×#14581785C2211yescharacteristic, complemented
36C2×#14581785C2211yescharacteristic, complemented
37C2×#14581783C2211yescharacteristic, complemented
38C2×#14581782C2211yescharacteristic, complemented
39C2×#14581777C2211yescharacteristic
40C2×#14581777C2211yescharacteristic
41C2×#14581776C2211yescharacteristic
42C2×#14581775C2211yescharacteristic
43C2×#14581774C2211yescharacteristic
44C2×#14581774C2211yescharacteristic
45C2×#14581774C2211yescharacteristic
46C2×#14581774C2211yescharacteristic
47C2×#14581773C2211yescharacteristic
48C2×#14581773C2211yescharacteristic, complemented
49#123×D83—28no—
50C2×#14581771C2211yescharacteristic, complemented
51C2×#14581770C2211yescharacteristic
52C2×#14581770C2211yescharacteristic, complemented
53C2×#14581769C2211yescharacteristic, complemented
54C2×#14581769C2211yescharacteristic, complemented
55C2×#14581766C2211yescharacteristic
56C2×#14581764C2211yescharacteristic
57C2×#14581764C2211yescharacteristic
58C2×#14581763C2211yescharacteristic
59C2×#14581763C2211yescharacteristic, complemented
60C2×#14581760C2211yescharacteristic
61C2×#14581760C2211yescharacteristic
62C2×#14581760C2211yescharacteristic
63C2×#14581760C2211yescharacteristic
64C2×C4×C22⋊D83C2211yescharacteristic
65C2×(C22⋊D83)⋊C4C2211yescharacteristic
66C2×#14581750C2211yescharacteristic
67C2×#14581749C2211yescharacteristic
68C2×C4⋊C4×D83C2211yescharacteristic
69C2×C4⋊C4×D83C2211yescharacteristic
70C2×C22⋊C4×D83C2211yescharacteristic
71C2×C22⋊C4×D83C2211yescharacteristic
72C2×C22⋊C4×D83C2211yescharacteristic
73#19127637C2211yescharacteristic, complemented
74#19127636C2211yescharacteristic, complemented
75#19127635C2211yescharacteristic, complemented
76#19127634C2211yescharacteristic, complemented
77#19127632C2211yescharacteristic, complemented
78#19127631C2211yescharacteristic, complemented
79#19127628C2211yescharacteristic, complemented
80#19127626C2211yescharacteristic, complemented
81#19127624C2211yescharacteristic, complemented
82#19127624C2211yescharacteristic, complemented
83#19127624C2211yescharacteristic, complemented
84#19127624C2211yescharacteristic, complemented
85#19127624C2211yescharacteristic, complemented
86#19127624C2211yescharacteristic, complemented
87#19127624C2211yescharacteristic, complemented
88#19127624C2211yescharacteristic, complemented
89#19127623C2211yescharacteristic, complemented
90#19127623C2211yescharacteristic, complemented
91#19127623C2211yescharacteristic, complemented
92#19127623C2211yescharacteristic, complemented
93#19127623C2211yescharacteristic, complemented
94#19127623C2211yescharacteristic, complemented
95#19127619C2211yescharacteristic
96#19127617C2211yescharacteristic, complemented
97#19127617C2211yescharacteristic, complemented
98#19127616C2211yescharacteristic
99#19127616C2211yescharacteristic
100#19127616C2211yescharacteristic, complemented
101#19127616C2211yescharacteristic, complemented
102#19127616C2211yescharacteristic, complemented
103#19127616C2211yescharacteristic, complemented
104#19127615C2211yescharacteristic
105#19127615C2211yescharacteristic, complemented
106#19127615C2211yescharacteristic, complemented
107#19127615C2211yescharacteristic, complemented
108#19127615C2211yescharacteristic, complemented
109#19127614C2211yescharacteristic, complemented
110#19127613C2211yescharacteristic, complemented
111#19127610C2211yescharacteristic
112#19127609C2211yescharacteristic
113#19127609C2211yescharacteristic
114#19127609C2211yescharacteristic, complemented
115#19127604C2211yescharacteristic
116#19127604C2211yescharacteristic, complemented
117#19127604C2211yescharacteristic, complemented
118#19127602C2211yescharacteristic
119#19127601C2211yescharacteristic
120#19127601C2211yescharacteristic
121#19127601C2211yescharacteristic, complemented
122#19127601C2211yescharacteristic, complemented
123#19127601C2211yescharacteristic, complemented
124#19127601C2211yescharacteristic, complemented
125#19127600C2211yescharacteristic, complemented
126#19127599C2211yescharacteristic, complemented
127#19127598C2211yescharacteristic, complemented
128#19127598C2211yescharacteristic, complemented
129#19127597C2211yescharacteristic, complemented
130#19127596C2211yescharacteristic, complemented
131#19127596C2211yescharacteristic, complemented
132#19127595C2211yescharacteristic, complemented
133#19127595C2211yescharacteristic, complemented
134#19127594C2211yescharacteristic, complemented
135#19127594C2211yescharacteristic, complemented
136#19127593C2211yescharacteristic, complemented
137#19127593C2211yescharacteristic, complemented
138#19127592C2211yescharacteristic, complemented
139#19127592C2211yescharacteristic, complemented
140#19127587C2211yescharacteristic, complemented
141#19127586C2211yescharacteristic, complemented
142#19127583C2211yescharacteristic, complemented
143#19127582C2211yescharacteristic, complemented
144#19127581C2211yescharacteristic, complemented
145#19127581C2211yescharacteristic, complemented
146#19127577C2211yescharacteristic
147#19127577C2211yescharacteristic
148#19127577C2211yescharacteristic
149#19127577C2211yescharacteristic
150#19127577C2211yescharacteristic, complemented
151#19127577C2211yescharacteristic, complemented
152#19127576C2211yescharacteristic, complemented
153#19127575C2211yescharacteristic
154#19127575C2211yescharacteristic
155#19127575C2211yescharacteristic, complemented
156#19127574C2211yescharacteristic, complemented
157#19127574C2211yescharacteristic, complemented
158#19127573C2211yescharacteristic, complemented
159#19127572C2211yescharacteristic
160#19127572C2211yescharacteristic
161#19127572C2211yescharacteristic, complemented
162#19127561C2211yescharacteristic, complemented
163#19127560C2211yescharacteristic
164#19127560C2211yescharacteristic
165#19127560C2211yescharacteristic, complemented
166#19127559C2211yescharacteristic, complemented
167#19127558C2211yescharacteristic
168#19127558C2211yescharacteristic
169#19127558C2211yescharacteristic, complemented
170#19127556C2211yescharacteristic
171#19127556C2211yescharacteristic
172#19127556C2211yescharacteristic
173#19127556C2211yescharacteristic
174C2×#123×C83C2211yescharacteristic
175C2×#123×C83C2211yescharacteristic, complemented
176C2×#121×C83C2211yescharacteristic
177C2×#121×C83C2211yescharacteristic, complemented
178#396×C83C2211yescharacteristic, complemented
179#396×C83C2211yescharacteristic, complemented
180#394×C83C2211yescharacteristic, complemented
181#394×C83C2211yescharacteristic, complemented
182#392×C83C2211yescharacteristic
183#392×C83C2211yescharacteristic, complemented
184#390×C83C2211yescharacteristic, complemented
185#390×C83C2211yescharacteristic, complemented
186#389×C83C2211yescharacteristic, complemented
187#385×C83C2211yescharacteristic, complemented
188#385×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C24×D83C2311yescharacteristic
191C22×Dic166C2311yescharacteristic
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
201C2×D4×D83—24no—
202C2×D4×D83—42no—
203C2×D4×D83—42no—
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C22×C4×D83—24no—
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
216#14581785—24no—
217#14581785—24no—
218#14581783—24no—
219#14581782—24no—
220#14581777—24no—
221#14581777—24no—
222#14581776—24no—
223#14581775—24no—
224#14581774—24no—
225#14581774—24no—
226#14581774—24no—
227#14581774—24no—
228#14581773—24no—
229#14581773—24no—
230#14581771—24no—
231#14581770—24no—
232#14581770—42no—
233#14581769—24no—
234#14581769—42no—
235#14581766—42no—
236#14581764—42no—
237#14581764—42no—
238#14581763—24no—
239#14581763—42no—
240#14581760—42no—
241#14581760—42no—
242#14581760—42no—
243#14581760—42no—
244C4×C22⋊D83—24no—
245(C22⋊D83)⋊C4—24no—
246#14581750—42no—
247#14581749—42no—
248C2×C4⋊Dic83C2311yescharacteristic
249C2×C4⋊Dic83C2311yescharacteristic
250C2×C4⋊Dic83C2311yescharacteristic
251C2×C4⋊Dic83C2311yescharacteristic
252C2×C4⋊Dic83C2311yescharacteristic
253C2×C4⋊Dic83C2311yescharacteristic
254C2×C4⋊Dic83C2311yescharacteristic
255C2×C4⋊Dic83C2311yescharacteristic
256C2×C4⋊Dic83C2311yescharacteristic
257C2×C4⋊Dic83C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
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×Dic83⋊C4C2311yescharacteristic
277C2×Dic83⋊C4C2311yescharacteristic
278C4⋊C4×D83—24no—
279C4⋊C4×D83D418yescomplemented
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×C22⋊Dic83C2311yescharacteristic
293C2×C22⋊Dic83C2311yescharacteristic
294C2×C22⋊Dic83C2311yescharacteristic
295C2×C22⋊Dic83C2311yescharacteristic
296C2×C22⋊Dic83C2311yescharacteristic
297C2×C22⋊Dic83C2311yescharacteristic
298C2×C22⋊Dic83C2311yescharacteristic
299C2×C22⋊Dic83C2311yescharacteristic
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
320C2×(C2×D83)⋊C4C2311yescharacteristic
321C2×(C2×D83)⋊C4C2311yescharacteristic
322C2×(C2×D83)⋊C4C2311yescharacteristic
323C2×(C2×D83)⋊C4C2311yescharacteristic
324C22⋊C4×D83—24no—
325C22⋊C4×D83—24no—
326C22⋊C4×D83—24no—
327C2×C4×Dic83C2311yescharacteristic
328C2×C4×Dic83C2311yescharacteristic
329C2×C4×Dic83C2311yescharacteristic
330C2×C4×Dic83C2311yescharacteristic
331C2×C4×Dic83C2311yescharacteristic
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×D4×C83C2311yescharacteristic
353C22×D4×C83C2311yescharacteristic
354C22×D4×C83C2311yescharacteristic
355C22×D4×C83C2311yescharacteristic
356C22×D4×C83C2311yescharacteristic
357C22×D4×C83C2311yescharacteristic
358C23×C4×C83C2311yescharacteristic
359C23×C4×C83C2311yescharacteristic
360#123×C83—24no—
361#123×C83—24no—
362#121×C83—42no—
363#121×C83—42no—
364C2×C4⋊C4×C83C2311yescharacteristic
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
387#95×C83C2311yescharacteristic
388#95×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—22no—
393C23×D83—22no—
394C23×D83—22no—
395C23×D83—22no—
396C23×D83—22no—
397C23×D83—22no—
398C23×D83—22no—
399C23×D83—41no—
400C23×D83—41no—
401C23×D83—41no—
402C23×D83—41no—
403C23×D83—41no—
404C23×D83—41no—
405C23×D83C2411yescharacteristic
406C23×D83C2411yescharacteristic
407C23×D83C2411yescharacteristic
408C2×Dic166—22no—
409C2×Dic166—41no—
410C2×Dic166—41no—
411C2×D332—22no—
412C2×D332—22no—
413C2×D332—41no—
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—22no—
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—
438D4×D83—416no—
439C22×Dic83—22no—
440C22×Dic83—22no—
441C22×Dic83—22no—
442C22×Dic83—41no—
443C22×Dic83—41no—
444C22×Dic83—41no—
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C22×Dic83C2411yescharacteristic
448C22×Dic83C2411yescharacteristic
449C22×Dic83C2411yescharacteristic
450C22×Dic83C2411yescharacteristic
451C22×Dic83C2411yescharacteristic
452C22×Dic83C2411yescharacteristic
453C22×Dic83C2411yescharacteristic
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C2×C4×D83—22no—
459C2×C4×D83—22no—
460C2×C4×D83—22no—
461C2×C4×D83—22no—
462C2×C4×D83—22no—
463C2×C4×D83—22no—
464C2×C4×D83—22no—
465C2×C4×D83—22no—
466C2×C4×D83—41no—
467C2×C4×D83—41no—
468C2×C4×D83—41no—
469C2×C4×D83—41no—
470C2×C4×D83—41no—
471C2×C4×D83—41no—
472C2×C4×D83—41no—
473C2×C4×D83—41no—
474C2×C4×D83—41no—
475C2×C4×D83—41no—
476C2×C4×D83—416no—
477C2×C4×D83C2×D414yes—
478C2×C4×D83C2×D414yes—
479C2×C4×D83C2×D414yes—
480C4⋊Dic83—22no—
481C4⋊Dic83—22no—
482C4⋊Dic83—22no—
483C4⋊Dic83—22no—
484C4⋊Dic83—41no—
485C4⋊Dic83—41no—
486C4⋊Dic83—41no—
487C4⋊Dic83—41no—
488C4⋊Dic83—41no—
489C4⋊Dic83C2×D414yes—
490Dic83⋊C4—22no—
491Dic83⋊C4—22no—
492Dic83⋊C4—22no—
493Dic83⋊C4—22no—
494Dic83⋊C4—22no—
495Dic83⋊C4—22no—
496Dic83⋊C4—22no—
497Dic83⋊C4—22no—
498Dic83⋊C4—41no—
499Dic83⋊C4—41no—
500Dic83⋊C4—41no—
501Dic83⋊C4—41no—
502Dic83⋊C4—41no—
503Dic83⋊C4—41no—
504Dic83⋊C4—41no—
505Dic83⋊C4—41no—
506Dic83⋊C4—41no—
507Dic83⋊C4—41no—
508Dic83⋊C4C2×D414yes—
509Dic83⋊C4C2×D414yes—
510C22⋊Dic83—22no—
511C22⋊Dic83—22no—
512C22⋊Dic83—22no—
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—
529C22⋊Dic83—41no—
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—
554C4×Dic83—22no—
555C4×Dic83—22no—
556C4×Dic83—41no—
557C4×Dic83—41no—
558C4×Dic83—41no—
559C24×C83C2411yescharacteristic
560C24×C83C2411yescharacteristic
561C24×C83C2411yescharacteristic
562C24×C83C2411yescharacteristic
563C2×D4×C83—22no—
564C2×D4×C83—22no—
565C2×D4×C83—22no—
566C2×D4×C83—22no—
567C2×D4×C83—22no—
568C2×D4×C83—41no—
569C2×D4×C83—41no—
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—
581C22×C4×C83—22no—
582C22×C4×C83—22no—
583C22×C4×C83—22no—
584C22×C4×C83—41no—
585C22×C4×C83—41no—
586C22×C4×C83—41no—
587C22×C4×C83C2411yescharacteristic
588C22×C4×C83C2411yescharacteristic
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
598C4⋊C4×C83—22no—
599C4⋊C4×C83—22no—
600C4⋊C4×C83—41no—
601C4⋊C4×C83—41no—
602C4⋊C4×C83—41no—
603C4⋊C4×C83—41no—
604C4⋊C4×C83—41no—
605C4⋊C4×C83C2×D414yes—
606C22⋊C4×C83—22no—
607C22⋊C4×C83—22no—
608C22⋊C4×C83—22no—
609C22⋊C4×C83—22no—
610C22⋊C4×C83—22no—
611C22⋊C4×C83—22no—
612C22⋊C4×C83—22no—
613C22⋊C4×C83—41no—
614C22⋊C4×C83—41no—
615C22⋊C4×C83—41no—
616C22⋊C4×C83—41no—
617C22⋊C4×C83—41no—
618C22⋊C4×C83—41no—
619C22⋊C4×C83—41no—
620C42×C83—41no—
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×C83—21no—
648C23×C83H(5,𝔽2)12yes—
649C23×C83C2511yescharacteristic
650C22×D83—21no—
651C22×D83—21no—
652C22×D83—21no—
653C22×D83—21no—
654C22×D83—28no—
655C22×D83—21no—
656C22×D83—21no—
657C22×D83—21no—
658C22×D83—21no—
659C22×D83—21no—
660C22×D83—21no—
661C22×D83—21no—
662C22×D83—21no—
663C22×D83—21no—
664C22×D83—21no—
665C22×D83—21no—
666C22×D83—21no—
667C22×D83—21no—
668C22×D83—44no—
669C22×D83—44no—
670C22×D83—44no—
671C22×D83—44no—
672C22×D83—44no—
673C22×D83—44no—
674C22×D83—44no—
675C22×D83—44no—
676C22×D83—44no—
677C22×D83—82no—
678C22×D83—82no—
679C22×D83—82no—
680C22×D83—82no—
681C22×D83C22×D412yes—
682C22×D83H(5,𝔽2)12yes—
683C22×D83H(5,𝔽2)12yes—
684C22×D832−1+412yes—
685D4×C83—44no—
686D4×C83—82no—
687D4×C83—82no—
688D4×C83—82no—
689D4×C83—82no—
690D4×C83—82no—
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—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—44no—
722C2×C4×C83—82no—
723C2×C4×C83C22×D412yes—
724C2×C4×C83C22×D412yes—
725C2×C4×C83C22×D412yes—
726C22⋊D83—44no—
727C22⋊D83—44no—
728C22⋊D83—44no—
729C22⋊D83—44no—
730C22⋊D83—82no—
731C22⋊D83—82no—
732C22⋊D83—82no—
733C22⋊D83—82no—
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—21no—
766C2×Dic83—21no—
767C2×Dic83—21no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—44no—
771C2×Dic83—82no—
772C2×Dic83C22×D412yes—
773C2×Dic83C22×D412yes—
774C2×Dic83C22×D412yes—
775D332—44no—
776C4×D83—28no—
777C4×D83—44no—
778C4×D83—44no—
779C4×D83—44no—
780C4×D83—44no—
781C4×D83—44no—
782C4×D83—44no—
783Dic166—82no—
784C22×C83—22no—
785C22×C83—22no—
786C22×C83—22no—
787C22×C83—41no—
788C22×C83—41no—
789C22×C83—41no—
790C22×C83—41no—
791C22×C83—41no—
792C22×C83—41no—
793C22×C83—41no—
794C22×C83—41no—
795C22×C83—41no—
796C22×C83—41no—
797C22×C83—41no—
798C22×C83—41no—
799C22×C83—41no—
800C22×C83—41no—
801C22×C83—41no—
802C22×C83—41no—
803C22×C83—41no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83—41no—
808C22×C83—41no—
809C22×C83—41no—
810C22×C83—41no—
811C22×C83—41no—
812C22×C83C23×D411yescharacteristic
813C22×C83C2×H(5,𝔽2)11yescharacteristic
814C22×C83C2×H(5,𝔽2)11yescharacteristic
815C22×C83C2×H(5,𝔽2)11yescharacteristic
816C22×C83C2×2−1+411yescharacteristic
817C22×C83#58511yescharacteristic
818C22×C83#58511yescharacteristic
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—22no—
828C2×D83—416no—
829C2×D83—41no—
830C2×D83—41no—
831C2×D83—41no—
832C2×D83—41no—
833C2×D83—41no—
834C2×D83—41no—
835C2×D83—41no—
836C2×D83—41no—
837C2×D83—41no—
838C2×D83—41no—
839C2×D83—41no—
840C2×D83—88no—
841C2×D83#53714yes—
842C4×C83—22no—
843C4×C83—22no—
844C4×C83—22no—
845C4×C83—41no—
846C4×C83—41no—
847C4×C83—41no—
848C4×C83—41no—
849C4×C83—41no—
850C4×C83—41no—
851C4×C83—41no—
852C4×C83—41no—
853Dic83—22no—
854Dic83—22no—
855Dic83—22no—
856Dic83—41no—
857Dic83—41no—
858Dic83—41no—
859Dic83—41no—
860Dic83—41no—
861Dic83—41no—
862Dic83—41no—
863Dic83—41no—
864Dic83—41no—
865Dic83—41no—
866#36722—831nomaximal, Sylow
867C2×C83—42no—
868C2×C83—81no—
869C2×C83—81no—
870C2×C83—81no—
871C2×C83C2×#53711yescharacteristic
872C2×C83#348411yescharacteristic
873C2×C83#348711yescharacteristic
874C2×C83#353411yescharacteristic
875C2×C83#353411yescharacteristic
876C2×C83#353511yescharacteristic
877C2×C83#353511yescharacteristic
878D83—24no—
879D83—42no—
880D83—81no—
881C2×#539—831no—
882C22×#123—831no—
883#2848—831no—
884#2847—831no—
885#2707—831no—
886#2707—831no—
887#2707—831no—
888#2707—831no—
889#2705—831no—
890#2705—831no—
891#2705—831no—
892#2705—831no—
893#2682—831no—
894#2682—831no—
895#2682—831no—
896#2682D8311yescharacteristic, complemented
897#2681—831no—
898#2681—831no—
899#2681—831no—
900#2681—831no—
901#2626—831no—
902#2617—831no—
903#2579—831no—
904#2579—831no—
905#2411—831no—
906#2411—831no—
907#2411—831no—
908#2411—831no—
909#2408—831no—
910#2408—831no—
911#2316—831no—
912C83#3672211yescharacteristic, complemented, Sylow
913C23×D4—831no—
914C24×C4—831no—
915#539—1668no—
916C2×#126—831no—
917C2×#126—831no—
918C2×#125—831no—
919C2×#125—831no—
920C2×#123—831no—
921C2×#123—831no—
922C2×#123—831no—
923C2×#123—831no—
924C2×#123—831no—
925C2×#123—831no—
926C2×#123—831no—
927C2×#123—831no—
928C2×#123—831no—
929C2×#123—831no—
930C2×#123—1668no—
931C2×#123C2×D8311yescharacteristic
932C2×#123C2×D8311yescharacteristic, complemented
933C2×C22⋊Q8—831no—
934C2×C22⋊Q8—831no—
935C2×C22⋊Q8—831no—
936C2×C22⋊Q8—831no—
937C2×C22⋊Q8—831no—
938C2×#121—831no—
939C2×#121—831no—
940C2×#121—831no—
941C2×#121—831no—
942C2×#121—831no—
943C2×#121C2×D8311yescharacteristic
944C2×#121C2×D8311yescharacteristic, complemented
945C2×#120—831no—
946C2×#120—831no—
947C2×#120—831no—
948C2×#120—831no—
949C2×C4×D4—831no—
950C2×C4×D4—831no—
951C2×#117—831no—
952C2×#117—831no—
953C22×C4⋊C4—831no—
954C22×C4⋊C4—831no—
955C22×C22⋊C4—831no—
956C22×C22⋊C4—831no—
957C22×C22⋊C4—831no—
958#399—831no—
959#399—831no—
960#398—831no—
961#398—831no—
962#398—831no—
963#398—831no—
964#397—831no—
965#397—831no—
966#396—831no—
967#396—831no—
968#396—831no—
969#396—831no—
970#396—831no—
971#396—831no—
972#396—831no—
973#396—831no—
974#396—831no—
975#396—831no—
976#396—831no—
977#396—831no—
978#396—831no—
979#396—831no—
980#396C2×D8311yescharacteristic, complemented
981#396C2×D8311yescharacteristic, complemented
982#394—831no—
983#394—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, complemented
997#394C2×D8311yescharacteristic, complemented
998#393—831no—
999#393—831no—
1000#392—831no—
1001#392—831no—
1002#392—831no—
1003#392—831no—
1004#392C2×D8311yescharacteristic
1005#392C2×D8311yescharacteristic, complemented
1006#390—831no—
1007#390—831no—
1008#390—831no—
1009#390—831no—
1010#390—831no—
1011#390—831no—
1012#390—831no—
1013#390—831no—
1014#390—831no—
1015#390—831no—
1016#390C2×D8311yescharacteristic, complemented
1017#390C2×D8311yescharacteristic, complemented
1018#389—831no—
1019#389—831no—
1020#389—831no—
1021#389—831no—
1022#389—831no—
1023#389—831no—
1024#389—831no—
1025#389C2×D8311yescharacteristic, complemented
1026#388—831no—
1027#388—831no—
1028#388—831no—
1029#388—831no—
1030#388—831no—
1031#388—831no—
1032#388—831no—
1033#388—831no—
1034#387—831no—
1035#387—831no—
1036#387—831no—
1037#387—831no—
1038#386—831no—
1039#386—831no—
1040#386—831no—
1041#386—831no—
1042#386—831no—
1043#386—831no—
1044#386—831no—
1045#386—831no—
1046#385—831no—
1047#385—831no—
1048#385—831no—
1049#385—831no—
1050#385—831no—
1051#385—831no—
1052#385—831no—
1053#385—831no—
1054#385—831no—
1055#385—831no—
1056#385C2×D8311yescharacteristic, complemented
1057#385C2×D8311yescharacteristic, complemented
1058#380—831no—
1059#380—831no—
1060#380—831no—
1061#380—831no—
1062#380—831no—
1063#380—831no—
1064#380—831no—
1065#380—831no—
1066#379—831no—
1067#379—831no—
1068#379—831no—
1069#379—831no—
1070C25—831no—
1071C25—831no—
1072C22×Q8—831no—
1073C22×D4—3322no—
1074C22×D4—3322no—
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×D4—831no—
1084C22×D4—1664no—
1085C22×D4C22×D8311yescharacteristic
1086C22×D4C22×D8311yescharacteristic
1087C22×D4C22×D8311yescharacteristic
1088C22×D4C22×D8311yescharacteristic
1089C22×D4C22×D8311yescharacteristic
1090C22×D4C22×D8311yescharacteristic
1091C23×C4—3322no—
1092C23×C4—3322no—
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—1664no—
1103C23×C4C22×D8311yescharacteristic
1104C23×C4C22×D8311yescharacteristic
1105#126—1664no—
1106#126—1664no—
1107#125—1664no—
1108#125—1664no—
1109#123—24no—
1110#123—24no—
1111#123—1664no—
1112#123—1664no—
1113#123—1664no—
1114#123—1664no—
1115#123—1664no—
1116#123—1664no—
1117#123—1664no—
1118#123—1664no—
1119#123—1664no—
1120#123—1664no—
1121C22⋊Q8—3322no—
1122C22⋊Q8—3322no—
1123C22⋊Q8—1664no—
1124C22⋊Q8—1664no—
1125C22⋊Q8—1664no—
1126#121—42no—
1127#121—42no—
1128#121—3322no—
1129#121—3322no—
1130#121—3322no—
1131#121—3322no—
1132#121—1664no—
1133#120—3322no—
1134#120—3322no—
1135#120—3322no—
1136#120—3322no—
1137C4×D4—1664no—
1138C4×D4—1664no—
1139#117—3322no—
1140#117—3322no—
1141C2×C4⋊C4—831no—
1142C2×C4⋊C4—831no—
1143C2×C4⋊C4—831no—
1144C2×C4⋊C4—831no—
1145C2×C4⋊C4—831no—
1146C2×C4⋊C4—831no—
1147C2×C4⋊C4—831no—
1148C2×C4⋊C4—831no—
1149C2×C4⋊C4—831no—
1150C2×C4⋊C4—831no—
1151C2×C4⋊C4—831no—
1152C2×C4⋊C4—831no—
1153C2×C4⋊C4—831no—
1154C2×C4⋊C4—831no—
1155C2×C4⋊C4—831no—
1156C2×C4⋊C4—831no—
1157C2×C4⋊C4—831no—
1158C2×C4⋊C4—831no—
1159C2×C4⋊C4—838no—
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—1664no—
1173C2×C4⋊C4C22×D8311yescharacteristic
1174C2×C4⋊C4C22×D8311yescharacteristic
1175C2×C4⋊C4C22×D8311yescharacteristic
1176C2×C4⋊C4C22×D8311yescharacteristic
1177C2×C4⋊C4C22×D8311yescharacteristic
1178C2×C4⋊C4C22×D8311yescharacteristic
1179C2×C4⋊C4C22×D8311yescharacteristic
1180C2×C4⋊C4C22×D8311yescharacteristic
1181C2×C22⋊C4—831no—
1182C2×C22⋊C4—831no—
1183C2×C22⋊C4—831no—
1184C2×C22⋊C4—831no—
1185C2×C22⋊C4—831no—
1186C2×C22⋊C4—831no—
1187C2×C22⋊C4—831no—
1188C2×C22⋊C4—831no—
1189C2×C22⋊C4—831no—
1190C2×C22⋊C4—831no—
1191C2×C22⋊C4—831no—
1192C2×C22⋊C4—831no—
1193C2×C22⋊C4—831no—
1194C2×C22⋊C4—831no—
1195C2×C22⋊C4—831no—
1196C2×C22⋊C4—831no—
1197C2×C22⋊C4—831no—
1198C2×C22⋊C4—831no—
1199C2×C22⋊C4—831no—
1200C2×C22⋊C4—831no—
1201C2×C22⋊C4—831no—
1202C2×C22⋊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—1664no—
1226C2×C22⋊C4—1664no—
1227C2×C22⋊C4—1664no—
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×C22⋊C4C22×D8311yescharacteristic
1235C2×C22⋊C4C22×D8311yescharacteristic
1236C2×C22⋊C4C22×D8311yescharacteristic
1237C2×C22⋊C4C22×D8311yescharacteristic
1238C2×C22⋊C4C22×D8311yescharacteristic
1239C2×C22⋊C4C22×D8311yescharacteristic
1240C2×C22⋊C4C22×D8311yescharacteristic
1241C2×C22⋊C4C22×D8311yescharacteristic
1242C2×C42—831no—
1243C2×C42—831no—
1244C2×C42—831no—
1245C2×C42—831no—
1246C2×C42—831no—
1247C2×C42C22×D8311yescharacteristic
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#95—831no—
1265#95—831no—
1266#95—831no—
1267#95—831no—
1268#95C22×D8311yescharacteristic
1269#95C22×D8311yescharacteristic
1270#95C22×D8311yescharacteristic
1271#95C22×D8311yescharacteristic
1272C24—3321no—
1273C24—3321no—
1274C24—3321no—
1275C24—3321no—
1276C24—3321no—
1277C24—3321no—
1278C24—831no—
1279C24—831no—
1280C24—831no—
1281C24—1662no—
1282C24—1662no—
1283C24—1662no—
1284C24—1662no—
1285C24—1662no—
1286C24—1662no—
1287C24—1662no—
1288C24—1662no—
1289C24C23×D8311yescharacteristic
1290C24C23×D8311yescharacteristic
1291C24C23×D8311yescharacteristic
1292C24C23×D8311yescharacteristic
1293C2×Q8—3321no—
1294C2×Q8—3321no—
1295C2×Q8—1662no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—3321no—
1315C2×D4—33216no—
1316C2×D4—3321no—
1317C2×D4—3321no—
1318C2×D4—3321no—
1319C2×D4—3321no—
1320C2×D4—3321no—
1321C2×D4—3321no—
1322C2×D4—3321no—
1323C2×D4—3321no—
1324C2×D4—3321no—
1325C2×D4—3321no—
1326C2×D4—3321no—
1327C2×D4—3321no—
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—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—3321no—
1349C22×C4—3321no—
1350C22×C4—3321no—
1351C22×C4—3321no—
1352C22×C4—3321no—
1353C22×C4—3321no—
1354C22×C4—3321no—
1355C22×C4—3321no—
1356C22×C4—3321no—
1357C22×C4—3321no—
1358C22×C4—33216no—
1359C22×C4—3321no—
1360C22×C4—3321no—
1361C22×C4—3321no—
1362C22×C4—834no—
1363C22×C4—834no—
1364C22×C4—831no—
1365C22×C4—831no—
1366C22×C4—831no—
1367C22×C4—834no—
1368C22×C4—831no—
1369C22×C4—831no—
1370C22×C4—831no—
1371C22×C4—831no—
1372C22×C4—831no—
1373C22×C4—831no—
1374C22×C4—831no—
1375C22×C4—831no—
1376C22×C4—831no—
1377C22×C4—831no—
1378C22×C4—1662no—
1379C22×C4—1662no—
1380C22×C4—1662no—
1381C22×C4—1662no—
1382C22×C4—1662no—
1383C22×C4—1662no—
1384C22×C4—1662no—
1385C22×C4—1662no—
1386C22×C4—1662no—
1387C22×C4—1662no—
1388C22×C4—1662no—
1389C22×C4C23×D8311yescharacteristic
1390C22×C4C23×D8311yescharacteristic
1391C22×C4C23×D8311yescharacteristic
1392C22×C4C23×D8311yescharacteristic
1393C22×C4C23×D8311yescharacteristic
1394C22×C4C23×D8311yescharacteristic
1395C22×C4C23×D8311yescharacteristic
1396C22×C4C23×D8311yescharacteristic
1397C22×C4C23×D8311yescharacteristic
1398C22×C4C23×D8311yescharacteristic
1399C22×C4C23×D8311yescharacteristic
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—3321no—
1408C4⋊C4—3321no—
1409C4⋊C4—3321no—
1410C4⋊C4—3321no—
1411C4⋊C4—3321no—
1412C4⋊C4—3321no—
1413C4⋊C4—3321no—
1414C4⋊C4—3321no—
1415C4⋊C4—3321no—
1416C4⋊C4—3321no—
1417C4⋊C4—3321no—
1418C4⋊C4—3321no—
1419C4⋊C4—3321no—
1420C4⋊C4—3321no—
1421C4⋊C4—3321no—
1422C4⋊C4—834no—
1423C4⋊C4—834no—
1424C4⋊C4—834no—
1425C4⋊C4—1662no—
1426C4⋊C4—1662no—
1427C4⋊C4—1662no—
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⋊C4D4×D8314yes—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—3321no—
1453C22⋊C4—3321no—
1454C22⋊C4—3321no—
1455C22⋊C4—3321no—
1456C22⋊C4—3321no—
1457C22⋊C4—3321no—
1458C22⋊C4—3321no—
1459C22⋊C4—3321no—
1460C22⋊C4—3321no—
1461C22⋊C4—3321no—
1462C22⋊C4—3321no—
1463C22⋊C4—3321no—
1464C22⋊C4—3321no—
1465C22⋊C4—3321no—
1466C22⋊C4—3321no—
1467C22⋊C4—3321no—
1468C22⋊C4—3321no—
1469C22⋊C4—3321no—
1470C22⋊C4—3321no—
1471C22⋊C4—3321no—
1472C22⋊C4—3321no—
1473C22⋊C4—1662no—
1474C22⋊C4—1662no—
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⋊C4—1662no—
1495C22⋊C4—1662no—
1496C42—41no—
1497C42—3321no—
1498C42—3321no—
1499C42—3321no—
1500C42—1662no—
1501C42—1662no—
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—21no—
1527C23—21no—
1528C23—21no—
1529C23—3324no—
1530C23—3324no—
1531C23—3324no—
1532C23—3324no—
1533C23—3324no—
1534C23—3324no—
1535C23—3324no—
1536C23—3324no—
1537C23—3324no—
1538C23—832no—
1539C23—832no—
1540C23—832no—
1541C23—832no—
1542C23—6642no—
1543C23—6642no—
1544C23—6642no—
1545C23—6642no—
1546C23—1668no—
1547C23—1661no—
1548C23—1661no—
1549C23—1661no—
1550C23—1661no—
1551C23—1661no—
1552C23—1661no—
1553C23—1661no—
1554C23—1661no—
1555C23—1661no—
1556C23—1661no—
1557C23—1661no—
1558C23—1661no—
1559C23—1661no—
1560C23—1661no—
1561C23—1661no—
1562C23—1661no—
1563C23—1661no—
1564C23#1458183712yes—
1565C23C24×D8311yescharacteristic
1566Q8—6642no—
1567D4—44no—
1568D4—82no—
1569D4—82no—
1570D4—82no—
1571D4—82no—
1572D4—82no—
1573D4—3324no—
1574D4—3324no—
1575D4—3324no—
1576D4—3324no—
1577D4—3324no—
1578D4—6642no—
1579D4—6642no—
1580D4—6642no—
1581D4—6642no—
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—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—44no—
1613C2×C4—82no—
1614C2×C4—3324no—
1615C2×C4—3324no—
1616C2×C4—3324no—
1617C2×C4—3324no—
1618C2×C4—3324no—
1619C2×C4—3324no—
1620C2×C4—3324no—
1621C2×C4—832no—
1622C2×C4—832no—
1623C2×C4—832no—
1624C2×C4—6642no—
1625C2×C4—1668no—
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×C4—1661no—
1660C2×C4—1661no—
1661C2×C4—1661no—
1662C2×C4C2×D4×D8312yes—
1663C2×C4C2×D4×D8312yes—
1664C2×C4C2×D4×D8312yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
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—41no—
1691C22—41no—
1692C22—41no—
1693C22—33216no—
1694C22—3321no—
1695C22—3321no—
1696C22—3321no—
1697C22—3321no—
1698C22—3321no—
1699C22—3321no—
1700C22—3321no—
1701C22—3321no—
1702C22—3321no—
1703C22—3321no—
1704C22—3321no—
1705C22—834no—
1706C22—6648no—
1707C22—1662no—
1708C22—1662no—
1709C22—1662no—
1710C22—1662no—
1711C22—1662no—
1712C22—1662no—
1713C22—1662no—
1714C22—1662no—
1715C22—1662no—
1716C22C22×D4×D8311yescharacteristic
1717C22H(5,𝔽2)×D8311yescharacteristic
1718C22H(5,𝔽2)×D8311yescharacteristic
1719C22C2×#1458183711yescharacteristic
1720C222−1+4×D8311yescharacteristic
1721C22#1912853611yescharacteristic
1722C22#1912853711yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—3321no—
1735C4—3321no—
1736C4—3321no—
1737C4—3321no—
1738C4—3321no—
1739C4—3321no—
1740C4—3321no—
1741C4—3321no—
1742C4—3321no—
1743C4—3321no—
1744C4—1662no—
1745C4—1662no—
1746C4—1662no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—3322no—
1752C2—6641no—
1753C2—1664no—
1754C2#537×D8311yescharacteristic
1755C2#2492109111yescharacteristic
1756C2#2492111611yescharacteristic
1757C2#2492164311yescharacteristic
1758C2#2492165211yescharacteristic
1759C2#2492166311yescharacteristic
1760C2#2492166411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2682C2
hypercenter#2682D83
hypocenterC83#36722
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2682

Complements

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

NH ≅ G/Ntype
1. C2×#19128294C2semidirect
2. C2×#123×D83C2semidirect
3. #24915749C2semidirect
4. #24915742C2semidirect
5. #24914172C2semidirect
6. #24914170C2semidirect
7. #24914164C2semidirect
8. #24914162C2semidirect
9. #24914143C2semidirect
10. #24914141C2semidirect
11. #24914131C2semidirect
12. #24914129C2semidirect
13. #24913830C2semidirect
14. #24913828C2semidirect
15. #24913824C2semidirect
16. #24913821C2semidirect
17. #24913816C2semidirect
18. #24913812C2semidirect
19. #24913809C2semidirect
20. #24913273C2semidirect
21. #24913196C2semidirect
22. #24912808C2semidirect
23. #24912805C2semidirect
24. #24910845C2semidirect
25. #24910845C2semidirect
26. #24910841C2semidirect
27. #24910841C2semidirect
28. #24910815C2semidirect
29. #24910812C2semidirect
30. #24910078C2semidirect
31. C83×#2682C2semidirect
35. C2×#14581785C22semidirect
36. C2×#14581785C22semidirect
37. C2×#14581783C22semidirect
38. C2×#14581782C22semidirect
48. C2×#14581773C22semidirect
50. C2×#14581771C22semidirect
52. C2×#14581770C22semidirect
53. C2×#14581769C22semidirect
54. C2×#14581769C22semidirect
59. C2×#14581763C22semidirect
73. #19127637C22semidirect
74. #19127636C22semidirect
75. #19127635C22semidirect
76. #19127634C22semidirect
77. #19127632C22semidirect
78. #19127631C22semidirect
79. #19127628C22semidirect
80. #19127626C22semidirect
81. #19127624C22semidirect
82. #19127624C22semidirect
83. #19127624C22semidirect
84. #19127624C22semidirect
85. #19127624C22semidirect
86. #19127624C22semidirect
87. #19127624C22semidirect
88. #19127624C22semidirect
89. #19127623C22semidirect
90. #19127623C22semidirect
91. #19127623C22semidirect
92. #19127623C22semidirect
93. #19127623C22semidirect
94. #19127623C22semidirect
96. #19127617C22semidirect
97. #19127617C22semidirect
100. #19127616C22semidirect
101. #19127616C22semidirect
102. #19127616C22semidirect
103. #19127616C22semidirect
105. #19127615C22semidirect
106. #19127615C22semidirect
107. #19127615C22semidirect
108. #19127615C22semidirect
109. #19127614C22semidirect
110. #19127613C22semidirect
114. #19127609C22semidirect
116. #19127604C22semidirect
117. #19127604C22semidirect
121. #19127601C22semidirect
122. #19127601C22semidirect
123. #19127601C22semidirect
124. #19127601C22semidirect
125. #19127600C22semidirect
126. #19127599C22semidirect
127. #19127598C22semidirect
128. #19127598C22semidirect
129. #19127597C22semidirect
130. #19127596C22semidirect
131. #19127596C22semidirect
132. #19127595C22semidirect
133. #19127595C22semidirect
134. #19127594C22semidirect
135. #19127594C22semidirect
136. #19127593C22semidirect
137. #19127593C22semidirect
138. #19127592C22semidirect
139. #19127592C22semidirect
140. #19127587C22semidirect
141. #19127586C22semidirect
142. #19127583C22semidirect
143. #19127582C22semidirect
144. #19127581C22semidirect
145. #19127581C22semidirect
150. #19127577C22semidirect
151. #19127577C22semidirect
152. #19127576C22semidirect
155. #19127575C22semidirect
156. #19127574C22semidirect
157. #19127574C22semidirect
158. #19127573C22semidirect
161. #19127572C22semidirect
162. #19127561C22semidirect
165. #19127560C22semidirect
166. #19127559C22semidirect
169. #19127558C22semidirect
175. C2×#123×C83C22semidirect
177. C2×#121×C83C22semidirect
178. #396×C83C22semidirect
179. #396×C83C22semidirect
180. #394×C83C22semidirect
181. #394×C83C22semidirect
183. #392×C83C22semidirect
184. #390×C83C22semidirect
185. #390×C83C22semidirect
186. #389×C83C22semidirect
187. #385×C83C22semidirect
188. #385×C83C22semidirect
279. C4⋊C4×D83D4semidirect
896. #2682D83semidirect
912. C83#36722semidirect
932. C2×#123C2×D83semidirect
944. C2×#121C2×D83semidirect
980. #396C2×D83semidirect
981. #396C2×D83semidirect
996. #394C2×D83semidirect
997. #394C2×D83semidirect
1005. #392C2×D83semidirect
1016. #390C2×D83semidirect
1017. #390C2×D83semidirect
1025. #389C2×D83semidirect
1056. #385C2×D83semidirect
1057. #385C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282942
C2×#123×D832
#249157492
#249157422
#249141722
#249141702
#249141642
#249141622
#249141432
#249141412
#249141312
#249141292
#249138302
#249138282
#249138242
#249138212
#249138162
#249138122
#249138092
#249132732
#249131962
#249128082
#249128052
#249108452
#249108412
#249108152
#249108122
#249100782
C83×#26822
#3672283