Finite Group Databasebeta

← #34497056

Subgroups — #34497056

Order 20224.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771689C211yesmaximal, characteristic, complemented
2#23771681C211yesmaximal, characteristic, complemented
3#23771344C211yesmaximal, characteristic, complemented
4#23771264C211yesmaximal, characteristic, complemented
5#23771149C211yesmaximal, characteristic, complemented
6#23771095C211yesmaximal, characteristic, complemented
7#23771053C211yesmaximal, characteristic, complemented
8#23771015C211yesmaximal, characteristic, complemented
9#23770657C211yesmaximal, characteristic, complemented
10#23770638C211yesmaximal, characteristic, complemented
11#23770563C211yesmaximal, characteristic, complemented
12#23770193C211yesmaximal, characteristic, complemented
13#23770117C211yesmaximal, characteristic, complemented
14#23770114C211yesmaximal, characteristic, complemented
15#23769934C211yesmaximal, characteristic, complemented
16#23769800C211yesmaximal, characteristic, complemented
17#23769767C211yesmaximal, characteristic, complemented
18#23769352C211yesmaximal, characteristic, complemented
19#23769329C211yesmaximal, characteristic, complemented
20#23767667C211yesmaximal, characteristic, complemented
21#23767522C211yesmaximal, characteristic, complemented
22#23767138C211yesmaximal, characteristic, complemented
23#23767073C211yesmaximal, characteristic, complemented
24#23767005C211yesmaximal, characteristic, complemented
25#23766929C211yesmaximal, characteristic, complemented
26#23766784C211yesmaximal, characteristic, complemented
27#23766714C211yesmaximal, characteristic, complemented
28#23766064C211yesmaximal, characteristic, complemented
29#23765990C211yesmaximal, characteristic, complemented
30#385×D79C211yesmaximal, characteristic, complemented
31C79×#2710C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C2×#14579154C2211yescharacteristic, complemented
35C2×#14579146C2211yescharacteristic
36C2×#14579143C2211yescharacteristic, complemented
37C2×#14579142C2211yescharacteristic
38C2×#14579137C2211yescharacteristic
39C2×#14579134C2211yescharacteristic
40C2×#14579134C2211yescharacteristic
41C2×#14579134C2211yescharacteristic
42C2×#14579133C2211yescharacteristic
43C2×#14579132C2211yescharacteristic
44C2×#14579131C2211yescharacteristic
45C2×#14579129C2211yescharacteristic
46C2×#14579129C2211yescharacteristic
47C2×#14579123C2211yescharacteristic
48C2×#14579118C2211yescharacteristic
49C2×C4⋊C4×D79C2211yescharacteristic
50C2×C4⋊C4×D79C2211yescharacteristic
51C2×C22⋊C4×D79C2211yescharacteristic
52C2×C22⋊C4×D79C2211yescharacteristic
53C79⋊#401C2211yescharacteristic, complemented
54#19098505C2211yescharacteristic, complemented
55#19098505C2211yescharacteristic, complemented
56#19098505C2211yescharacteristic, complemented
57#19098504C2211yescharacteristic, complemented
58#19098504C2211yescharacteristic, complemented
59#19098504C2211yescharacteristic, complemented
60#19098504C2211yescharacteristic, complemented
61#19098502C2211yescharacteristic, complemented
62#19098497C2211yescharacteristic, complemented
63#19098494C2211yescharacteristic, complemented
64#19098493C2211yescharacteristic, complemented
65#19098491C2211yescharacteristic
66#19098491C2211yescharacteristic, complemented
67#19098491C2211yescharacteristic, complemented
68#19098490C2211yescharacteristic, complemented
69#19098489C2211yescharacteristic, complemented
70#19098488C2211yescharacteristic, complemented
71#19098488C2211yescharacteristic, complemented
72#19098487C2211yescharacteristic
73#19098486C2211yescharacteristic
74#19098486C2211yescharacteristic, complemented
75#19098486C2211yescharacteristic, complemented
76#19098485C2211yescharacteristic
77#19098483C2211yescharacteristic, complemented
78#19098482C2211yescharacteristic, complemented
79#19098481C2211yescharacteristic
80#19098479C2211yescharacteristic
81#19098478C2211yescharacteristic
82#19098478C2211yescharacteristic
83#19098478C2211yescharacteristic, complemented
84#19098478C2211yescharacteristic, complemented
85#19098478C2211yescharacteristic, complemented
86#19098477C2211yescharacteristic
87#19098476C2211yescharacteristic
88#19098476C2211yescharacteristic, complemented
89#19098475C2211yescharacteristic
90#19098474C2211yescharacteristic
91#19098474C2211yescharacteristic, complemented
92#19098472C2211yescharacteristic
93#19098471C2211yescharacteristic
94#19098471C2211yescharacteristic, complemented
95#19098469C2211yescharacteristic, complemented
96#19098468C2211yescharacteristic, complemented
97#19098466C2211yescharacteristic, complemented
98#19098465C2211yescharacteristic
99#19098463C2211yescharacteristic
100#19098463C2211yescharacteristic
101#19098463C2211yescharacteristic
102#19098460C2211yescharacteristic, complemented
103#19098458C2211yescharacteristic, complemented
104#19098457C2211yescharacteristic
105#19098456C2211yescharacteristic
106#19098454C2211yescharacteristic
107#19098454C2211yescharacteristic, complemented
108#19098453C2211yescharacteristic
109#19098453C2211yescharacteristic, complemented
110#19098451C2211yescharacteristic, complemented
111#19098450C2211yescharacteristic, complemented
112#19098449C2211yescharacteristic, complemented
113#19098448C2211yescharacteristic, complemented
114#19098447C2211yescharacteristic, complemented
115#19098447C2211yescharacteristic, complemented
116#19098445C2211yescharacteristic, complemented
117#19098444C2211yescharacteristic, complemented
118#19098443C2211yescharacteristic
119#19098443C2211yescharacteristic
120#19098442C2211yescharacteristic
121#19098441C2211yescharacteristic
122#19098441C2211yescharacteristic
123#19098441C2211yescharacteristic
124#19098441C2211yescharacteristic
125#19098440C2211yescharacteristic
126#19098440C2211yescharacteristic
127#19098440C2211yescharacteristic, complemented
128#19098440C2211yescharacteristic, complemented
129#19098439C2211yescharacteristic
130#19098439C2211yescharacteristic
131#19098439C2211yescharacteristic
132#19098439C2211yescharacteristic
133#19098439C2211yescharacteristic
134#19098439C2211yescharacteristic
135#19098439C2211yescharacteristic
136#19098439C2211yescharacteristic
137#19098439C2211yescharacteristic
138#19098439C2211yescharacteristic
139#19098439C2211yescharacteristic
140#19098438C2211yescharacteristic
141#19098437C2211yescharacteristic
142#19098437C2211yescharacteristic
143#19098437C2211yescharacteristic
144#19098437C2211yescharacteristic
145#19098437C2211yescharacteristic, complemented
146#19098436C2211yescharacteristic
147#19098435C2211yescharacteristic
148#19098435C2211yescharacteristic, complemented
149#19098435C2211yescharacteristic, complemented
150#19098434C2211yescharacteristic
151#19098434C2211yescharacteristic
152#19098434C2211yescharacteristic
153#19098434C2211yescharacteristic
154#19098434C2211yescharacteristic
155#19098434C2211yescharacteristic
156#19098434C2211yescharacteristic, complemented
157#19098434C2211yescharacteristic, complemented
158#19098426C2211yescharacteristic
159#19098425C2211yescharacteristic
160#19098424C2211yescharacteristic
161#19098422C2211yescharacteristic
162#19098422C2211yescharacteristic
163#19098421C2211yescharacteristic
164#19098421C2211yescharacteristic, complemented
165#19098421C2211yescharacteristic, complemented
166#19098421C2211yescharacteristic, complemented
167#19098421C2211yescharacteristic, complemented
168#19098418C2211yescharacteristic
169C4×(C2×D79)⋊C4C2211yescharacteristic
170#95×D79C2211yescharacteristic
171#95×D79C2211yescharacteristic
172C2×#124×C79C2211yescharacteristic
173C2×#123×C79C2211yescharacteristic
174#399×C79C2211yescharacteristic, complemented
175#397×C79C2211yescharacteristic, complemented
176#394×C79C2211yescharacteristic
177#394×C79C2211yescharacteristic, complemented
178#393×C79C2211yescharacteristic, complemented
179#392×C79C2211yescharacteristic
180#391×C79C2211yescharacteristic, complemented
181#390×C79C2211yescharacteristic, complemented
182#389×C79C2211yescharacteristic, complemented
183#388×C79C2211yescharacteristic
184#388×C79C2211yescharacteristic, complemented
185#386×C79C2211yescharacteristic
186#385×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C2×#11929623—24no—
189C2×#11929623—42no—
190C2×#11929623—42no—
191C22×Dic158C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C22×C4×D79—42no—
205C22×C4×D79—42no—
206C22×C4×D79—42no—
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216#14579154—42no—
217#14579146—24no—
218#14579143—42no—
219#14579142—42no—
220#14579137—42no—
221#14579134—42no—
222#14579134—42no—
223#14579134—42no—
224#14579133—42no—
225#14579132—42no—
226#14579131—42no—
227#14579129—42no—
228#14579129—42no—
229#14579123—42no—
230#14579118—42no—
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C4⋊C4×D79—42no—
254C4⋊C4×D79—42no—
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C22⋊C4×D79—24no—
292C22⋊C4×D79—42no—
293C2×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C22×Q8×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337#124×C79—42no—
338#123×C79—42no—
339C2×C4⋊C4×C79C2311yescharacteristic
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C42×C79C2311yescharacteristic
360C2×C42×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79—22no—
370C23×D79—22no—
371C23×D79—22no—
372C23×D79—22no—
373C23×D79—22no—
374C23×D79—41no—
375C23×D79—41no—
376C23×D79C2411yescharacteristic
377C23×D79C2411yescharacteristic
378C23×D79C2411yescharacteristic
379#11929623—416no—
380C2×Dic158—22no—
381C2×Dic158—41no—
382C2×Dic158—41no—
383C2×D316—22no—
384C2×D316—22no—
385C2×D316—22no—
386C2×D316—22no—
387C2×D316—41no—
388C2×D316—41no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—22no—
392C2×C22⋊D79—22no—
393C2×C22⋊D79—22no—
394C2×C22⋊D79—22no—
395C2×C22⋊D79—22no—
396C2×C22⋊D79—22no—
397C2×C22⋊D79—22no—
398C2×C22⋊D79—22no—
399C2×C22⋊D79—41no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C2×C22⋊D79—41no—
405C2×C22⋊D79—41no—
406C2×C22⋊D79—41no—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C22×Dic79—22no—
411C22×Dic79—22no—
412C22×Dic79—22no—
413C22×Dic79—22no—
414C22×Dic79—41no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79—41no—
418C22×Dic79—41no—
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C2×C4×D79—22no—
433C2×C4×D79—22no—
434C2×C4×D79—22no—
435C2×C4×D79—22no—
436C2×C4×D79—22no—
437C2×C4×D79—22no—
438C2×C4×D79—22no—
439C2×C4×D79—22no—
440C2×C4×D79—22no—
441C2×C4×D79—41no—
442C2×C4×D79—41no—
443C2×C4×D79—41no—
444C2×C4×D79—41no—
445C2×C4×D79—41no—
446C2×C4×D79—41no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C2×C4×D79—41no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—41no—
455C2×C4×D79—41no—
456C2×C4×D79—41no—
457C2×C4×D79—41no—
458C2×C4×D79—416no—
459C2×C4×D79#4114yes—
460C4⋊Dic79—22no—
461C4⋊Dic79—41no—
462C4⋊Dic79—41no—
463C4⋊Dic79—41no—
464C4⋊Dic79—41no—
465Dic79⋊C4—22no—
466Dic79⋊C4—22no—
467Dic79⋊C4—22no—
468Dic79⋊C4—22no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481Dic79⋊C4—41no—
482C22⋊Dic79—22no—
483C22⋊Dic79—22no—
484C22⋊Dic79—22no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492C22⋊Dic79—41no—
493C22⋊Dic79—41no—
494C22⋊Dic79—41no—
495(C2×D79)⋊C4—22no—
496(C2×D79)⋊C4—22no—
497(C2×D79)⋊C4—22no—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—22no—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—22no—
503(C2×D79)⋊C4—22no—
504(C2×D79)⋊C4—22no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4—41no—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4—41no—
517(C2×D79)⋊C4—41no—
518C4×Dic79—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C24×C79C2411yescharacteristic
522C24×C79C2411yescharacteristic
523C24×C79C2411yescharacteristic
524C2×Q8×C79—41no—
525C2×Q8×C79—41no—
526C2×Q8×C79—41no—
527C2×D4×C79—22no—
528C2×D4×C79—22no—
529C2×D4×C79—22no—
530C2×D4×C79—41no—
531C2×D4×C79—41no—
532C2×D4×C79—41no—
533C2×D4×C79—41no—
534C2×D4×C79—41no—
535C2×D4×C79—41no—
536C22×C4×C79—22no—
537C22×C4×C79—41no—
538C22×C4×C79—41no—
539C22×C4×C79C2411yescharacteristic
540C22×C4×C79C2411yescharacteristic
541C22×C4×C79C2411yescharacteristic
542C22×C4×C79C2411yescharacteristic
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C4⋊C4×C79—22no—
552C4⋊C4×C79—41no—
553C4⋊C4×C79—41no—
554C4⋊C4×C79—41no—
555C4⋊C4×C79—41no—
556C4⋊C4×C79—41no—
557C22⋊C4×C79—22no—
558C22⋊C4×C79—22no—
559C22⋊C4×C79—22no—
560C22⋊C4×C79—41no—
561C22⋊C4×C79—41no—
562C22⋊C4×C79—41no—
563C22⋊C4×C79—41no—
564C22⋊C4×C79—41no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C42×C79—41no—
572C42×C79—41no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79—21no—
577C23×C79—21no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79H(5,𝔽2)12yes—
594C23×C79C2511yescharacteristic
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—28no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—44no—
614C22×D79—44no—
615C22×D79—44no—
616C22×D79—44no—
617C22×D79—44no—
618C22×D79—44no—
619C22×D79C2×#4112yes—
620C22×D79H(5,𝔽2)12yes—
621C22×D79H(5,𝔽2)12yes—
622C22×D792−1+412yes—
623Q8×C79—82no—
624D4×C79—44no—
625D4×C79—82no—
626D4×C79—82no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—44no—
663C2×C4×C79C2×#4112yes—
664C22⋊D79—44no—
665C22⋊D79—44no—
666C22⋊D79—82no—
667C22⋊D79—82no—
668C22⋊D79—82no—
669C22⋊D79—82no—
670C22⋊D79—82no—
671C2×Dic79—21no—
672C2×Dic79—21no—
673C2×Dic79—21no—
674C2×Dic79—21no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—44no—
709C2×Dic79—44no—
710C2×Dic79—44no—
711C2×Dic79C2×#4112yes—
712C2×Dic79H(5,𝔽2)12yes—
713D316—44no—
714D316—82no—
715C4×D79—28no—
716C4×D79—44no—
717C4×D79—44no—
718C4×D79—44no—
719C4×D79—44no—
720C4×D79—44no—
721C4×D79—82no—
722C4×D79—82no—
723C4×D79—82no—
724Dic158—44no—
725C22×C79—22no—
726C22×C79—22no—
727C22×C79—22no—
728C22×C79—41no—
729C22×C79—41no—
730C22×C79—41no—
731C22×C79—41no—
732C22×C79—41no—
733C22×C79—41no—
734C22×C79—41no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79C22×#4111yescharacteristic
747C22×C79C2×H(5,𝔽2)11yescharacteristic
748C22×C79C2×H(5,𝔽2)11yescharacteristic
749C22×C79C2×H(5,𝔽2)11yescharacteristic
750C22×C79C2×H(5,𝔽2)11yescharacteristic
751C22×C79C2×2−1+411yescharacteristic
752C22×C79#58511yescharacteristic
753C2×D79—22no—
754C2×D79—22no—
755C2×D79—22no—
756C2×D79—22no—
757C2×D79—22no—
758C2×D79—22no—
759C2×D79—22no—
760C2×D79—22no—
761C2×D79—22no—
762C2×D79—416no—
763C2×D79—41no—
764C2×D79—41no—
765C2×D79—41no—
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79#53814yes—
775C4×C79—22no—
776C4×C79—41no—
777C4×C79—41no—
778C4×C79—41no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787Dic79—22no—
788Dic79—22no—
789Dic79—41no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800#36791—791nomaximal, Sylow
801C2×C79—42no—
802C2×C79—81no—
803C2×C79—81no—
804C2×C79C2×#53811yescharacteristic
805C2×C79#349211yescharacteristic
806C2×C79#350611yescharacteristic
807C2×C79#353211yescharacteristic
808C2×C79#353411yescharacteristic
809C2×C79#353511yescharacteristic
810C2×C79#353611yescharacteristic
811D79—24no—
812D79—42no—
813D79—81no—
814#2849—791no—
815#2847—791no—
816#2804—791no—
817#2797—791no—
818#2788—791no—
819#2784—791no—
820#2780—791no—
821#2778—791no—
822#2751—791no—
823#2750—791no—
824#2745—791no—
825#2714—791no—
826#2710D7911yescharacteristic, complemented
827#2708—791no—
828#2708—791no—
829#2695—791no—
830#2686—791no—
831#2682—791no—
832#2643—791no—
833#2639—791no—
834#2481—791no—
835#2472—791no—
836#2443—791no—
837#2438—791no—
838#2430—791no—
839#2424—791no—
840#2411—791no—
841#2404—791no—
842#2322—791no—
843#2311—791no—
844C2×#385—791no—
845C79#3679111yescharacteristic, complemented, Sylow
846C22×#41—791no—
847C24×C4—791no—
848C2×#126—791no—
849C2×#124C2×D7911yescharacteristic
850C2×#123—791no—
851C2×#123—791no—
852C2×#123—791no—
853C2×#123C2×D7911yescharacteristic
854C2×C22⋊Q8—791no—
855C2×#121—791no—
856C2×#121—791no—
857C2×#121—791no—
858C2×#121—791no—
859C2×#121—791no—
860C2×#120—791no—
861C2×#120—791no—
862C2×#120—791no—
863C2×C4×D4—791no—
864C2×#117—791no—
865C22×C4⋊C4—791no—
866C22×C4⋊C4—791no—
867C22×C22⋊C4—791no—
868C22×C22⋊C4—791no—
869#401—791no—
870#400—791no—
871#400—791no—
872#400—791no—
873#400—791no—
874#400—791no—
875#400—791no—
876#400—791no—
877#400—791no—
878#399C2×D7911yescharacteristic, complemented
879#398—791no—
880#398—791no—
881#398—791no—
882#397—791no—
883#397—791no—
884#397—791no—
885#397—791no—
886#397—791no—
887#397—791no—
888#397—791no—
889#397C2×D7911yescharacteristic, complemented
890#396—791no—
891#396—791no—
892#396—791no—
893#396—791no—
894#396—791no—
895#395—791no—
896#395—791no—
897#394—791no—
898#394—791no—
899#394—791no—
900#394—791no—
901#394—791no—
902#394—791no—
903#394—791no—
904#394—791no—
905#394C2×D7911yescharacteristic
906#394C2×D7911yescharacteristic, complemented
907#393—791no—
908#393—791no—
909#393—791no—
910#393—791no—
911#393—791no—
912#393C2×D7911yescharacteristic, complemented
913#392—791no—
914#392—791no—
915#392—791no—
916#392C2×D7911yescharacteristic
917#391—791no—
918#391—791no—
919#391C2×D7911yescharacteristic, complemented
920#390—791no—
921#390—791no—
922#390—791no—
923#390—791no—
924#390—791no—
925#390C2×D7911yescharacteristic, complemented
926#389—791no—
927#389—791no—
928#389C2×D7911yescharacteristic, complemented
929#388—791no—
930#388—791no—
931#388—791no—
932#388—791no—
933#388—791no—
934#388—791no—
935#388—791no—
936#388C2×D7911yescharacteristic
937#388C2×D7911yescharacteristic, complemented
938#387—791no—
939#387—791no—
940#387—791no—
941#387—791no—
942#387—791no—
943#387—791no—
944#387—791no—
945#386—791no—
946#386—791no—
947#386—791no—
948#386—791no—
949#386—791no—
950#386—791no—
951#386—791no—
952#386—791no—
953#386—791no—
954#386—791no—
955#386—791no—
956#386—791no—
957#386—791no—
958#386—791no—
959#386—791no—
960#386—791no—
961#386—791no—
962#386—791no—
963#386—791no—
964#386—791no—
965#386—791no—
966#386—791no—
967#386C2×D7911yescharacteristic
968#385—791no—
969#385—791no—
970#385—791no—
971#385—791no—
972#385—791no—
973#385—791no—
974#385—791no—
975#385—791no—
976#385—791no—
977#385—791no—
978#385—791no—
979#385—791no—
980#385—791no—
981#385—791no—
982#385—791no—
983#385—791no—
984#385—791no—
985#385—791no—
986#385C2×D7911yescharacteristic
987#381—791no—
988#381—791no—
989#381—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#380—791no—
994#380—791no—
995#380—791no—
996#380—791no—
997#379—791no—
998C4×C22⋊C4—791no—
999C2×#95—791no—
1000C2×#95—791no—
1001C25—791no—
1002C2×#41—3162no—
1003C2×#41—3162no—
1004C2×#41—1584no—
1005C22×Q8—791no—
1006C22×Q8C22×D7911yescharacteristic
1007C22×D4—791no—
1008C22×D4—791no—
1009C22×D4—791no—
1010C22×D4—791no—
1011C22×D4—791no—
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4C22×D7911yescharacteristic
1017C22×D4C22×D7911yescharacteristic
1018C22×D4C22×D7911yescharacteristic
1019C23×C4—3162no—
1020C23×C4—3162no—
1021C23×C4—3162no—
1022C23×C4—791no—
1023C23×C4—791no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4—791no—
1029C23×C4—791no—
1030C23×C4—791no—
1031C23×C4—791no—
1032C23×C4—791no—
1033C23×C4—791no—
1034C23×C4C22×D7911yescharacteristic
1035#126—3162no—
1036#124—42no—
1037#123—42no—
1038#123—3162no—
1039#123—3162no—
1040#123—1584no—
1041C22⋊Q8—3162no—
1042#121—3162no—
1043#121—3162no—
1044#121—3162no—
1045#121—3162no—
1046#121—3162no—
1047#120—3162no—
1048#120—3162no—
1049#120—3162no—
1050C4×D4—3162no—
1051#117—3162no—
1052C2×C4⋊C4—3162no—
1053C2×C4⋊C4—3162no—
1054C2×C4⋊C4—791no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4—791no—
1057C2×C4⋊C4—791no—
1058C2×C4⋊C4—791no—
1059C2×C4⋊C4—791no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4C22×D7911yescharacteristic
1077C2×C4⋊C4C22×D7911yescharacteristic
1078C2×C4⋊C4C22×D7911yescharacteristic
1079C2×C4⋊C4C22×D7911yescharacteristic
1080C2×C4⋊C4C22×D7911yescharacteristic
1081C2×C4⋊C4C22×D7911yescharacteristic
1082C2×C22⋊C4—3162no—
1083C2×C22⋊C4—791no—
1084C2×C22⋊C4—791no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—791no—
1087C2×C22⋊C4—791no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—1584no—
1120C2×C22⋊C4C22×D7911yescharacteristic
1121C2×C22⋊C4C22×D7911yescharacteristic
1122C2×C22⋊C4C22×D7911yescharacteristic
1123C2×C22⋊C4C22×D7911yescharacteristic
1124C2×C22⋊C4C22×D7911yescharacteristic
1125C2×C22⋊C4C22×D7911yescharacteristic
1126C2×C22⋊C4C22×D7911yescharacteristic
1127C2×C22⋊C4C22×D7911yescharacteristic
1128C2×C22⋊C4C22×D7911yescharacteristic
1129C2×C22⋊C4C22×D7911yescharacteristic
1130C2×C22⋊C4C22×D7911yescharacteristic
1131C2×C22⋊C4C22×D7911yescharacteristic
1132C2×C22⋊C4C22×D7911yescharacteristic
1133C2×C22⋊C4C22×D7911yescharacteristic
1134C2×C42—791no—
1135C2×C42—791no—
1136C2×C42—791no—
1137C2×C42C22×D7911yescharacteristic
1138C2×C42C22×D7911yescharacteristic
1139#95—791no—
1140#95—791no—
1141#95—791no—
1142#95—791no—
1143#95—791no—
1144#95—791no—
1145#95—791no—
1146#95—791no—
1147#95—791no—
1148#95—791no—
1149#95—791no—
1150#95—791no—
1151#95—791no—
1152#95—791no—
1153#95—791no—
1154#95—791no—
1155#95—791no—
1156#95—791no—
1157#95—791no—
1158#95—791no—
1159#95—791no—
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#95C22×D7911yescharacteristic
1176#95C22×D7911yescharacteristic
1177#95C22×D7911yescharacteristic
1178#95C22×D7911yescharacteristic
1179#95C22×D7911yescharacteristic
1180#95C22×D7911yescharacteristic
1181#95C22×D7911yescharacteristic
1182#95C22×D7911yescharacteristic
1183C24—3161no—
1184C24—3161no—
1185C24—791no—
1186C24—791no—
1187C24—791no—
1188C24—1582no—
1189C24—1582no—
1190C24—1582no—
1191C24—1582no—
1192C24—1582no—
1193C24C23×D7911yescharacteristic
1194C24C23×D7911yescharacteristic
1195C24C23×D7911yescharacteristic
1196#41—31616no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8—3161no—
1201C2×Q8—3161no—
1202C2×Q8—1582no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—3161no—
1213C2×D4—3161no—
1214C2×D4—3161no—
1215C2×D4—3161no—
1216C2×D4—3161no—
1217C2×D4—3161no—
1218C2×D4—3161no—
1219C2×D4—3161no—
1220C2×D4—3161no—
1221C2×D4—3161no—
1222C2×D4—3161no—
1223C2×D4—3161no—
1224C2×D4—3161no—
1225C2×D4—1582no—
1226C2×D4—1582no—
1227C2×D4—1582no—
1228C2×D4—1582no—
1229C2×D4—1582no—
1230C2×D4—1582no—
1231C2×D4—1582no—
1232C2×D4—1582no—
1233C2×D4—1582no—
1234C2×D4—1582no—
1235C2×D4—1582no—
1236C2×D4—1582no—
1237C2×D4—1582no—
1238C2×D4—1582no—
1239C22×C4—22no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—3161no—
1243C22×C4—3161no—
1244C22×C4—3161no—
1245C22×C4—3161no—
1246C22×C4—3161no—
1247C22×C4—3161no—
1248C22×C4—3161no—
1249C22×C4—3161no—
1250C22×C4—3161no—
1251C22×C4—3161no—
1252C22×C4—3161no—
1253C22×C4—3161no—
1254C22×C4—3161no—
1255C22×C4—3161no—
1256C22×C4—3161no—
1257C22×C4—3161no—
1258C22×C4—3161no—
1259C22×C4—31616no—
1260C22×C4—3161no—
1261C22×C4—3161no—
1262C22×C4—3161no—
1263C22×C4—3161no—
1264C22×C4—3161no—
1265C22×C4—791no—
1266C22×C4—791no—
1267C22×C4—794no—
1268C22×C4—791no—
1269C22×C4—791no—
1270C22×C4—791no—
1271C22×C4—791no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—1582no—
1280C22×C4—1582no—
1281C22×C4—1582no—
1282C22×C4—1582no—
1283C22×C4—1582no—
1284C22×C4—1582no—
1285C22×C4—1582no—
1286C22×C4—1582no—
1287C22×C4—1582no—
1288C22×C4—1582no—
1289C22×C4—1582no—
1290C22×C4—1582no—
1291C22×C4—1582no—
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C22×C4C23×D7911yescharacteristic
1300C22×C4C23×D7911yescharacteristic
1301C22×C4C23×D7911yescharacteristic
1302C22×C4C23×D7911yescharacteristic
1303C22×C4C23×D7911yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—3161no—
1321C4⋊C4—3161no—
1322C4⋊C4—3161no—
1323C4⋊C4—3161no—
1324C4⋊C4—3161no—
1325C4⋊C4—3161no—
1326C4⋊C4—3161no—
1327C4⋊C4—1582no—
1328C4⋊C4—1582no—
1329C4⋊C4—1582no—
1330C4⋊C4—1582no—
1331C4⋊C4—1582no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—3161no—
1347C22⋊C4—3161no—
1348C22⋊C4—3161no—
1349C22⋊C4—3161no—
1350C22⋊C4—3161no—
1351C22⋊C4—3161no—
1352C22⋊C4—3161no—
1353C22⋊C4—3161no—
1354C22⋊C4—3161no—
1355C22⋊C4—3161no—
1356C22⋊C4—3161no—
1357C22⋊C4—3161no—
1358C22⋊C4—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—1582no—
1370C22⋊C4—1582no—
1371C22⋊C4—1582no—
1372C22⋊C4—1582no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
1376C22⋊C4—1582no—
1377C22⋊C4—1582no—
1378C22⋊C4—1582no—
1379C22⋊C4—1582no—
1380C22⋊C4—1582no—
1381C22⋊C4—1582no—
1382C42—41no—
1383C42—41no—
1384C42—3161no—
1385C42—3161no—
1386C42—3161no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—3164no—
1408C23—3164no—
1409C23—3164no—
1410C23—3164no—
1411C23—3164no—
1412C23—3164no—
1413C23—792no—
1414C23—792no—
1415C23—792no—
1416C23—792no—
1417C23—1588no—
1418C23—1581no—
1419C23—1581no—
1420C23—1581no—
1421C23—1581no—
1422C23—1581no—
1423C23—1581no—
1424C23—1581no—
1425C23—1581no—
1426C23—1581no—
1427C23—1581no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23—1581no—
1435C23#1457920612yes—
1436C23C24×D7911yescharacteristic
1437Q8—82no—
1438Q8—3164no—
1439D4—44no—
1440D4—82no—
1441D4—82no—
1442D4—3164no—
1443D4—3164no—
1444D4—3164no—
1445D4—6322no—
1446D4—6322no—
1447D4—6322no—
1448D4—6322no—
1449D4—6322no—
1450D4—6322no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—44no—
1487C2×C4—3164no—
1488C2×C4—3164no—
1489C2×C4—3164no—
1490C2×C4—3164no—
1491C2×C4—3164no—
1492C2×C4—3164no—
1493C2×C4—3164no—
1494C2×C4—3164no—
1495C2×C4—792no—
1496C2×C4—792no—
1497C2×C4—6322no—
1498C2×C4—6322no—
1499C2×C4—6322no—
1500C2×C4—1588no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4#41×D7912yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—31616no—
1561C22—3161no—
1562C22—3161no—
1563C22—3161no—
1564C22—3161no—
1565C22—3161no—
1566C22—3161no—
1567C22—3161no—
1568C22—3161no—
1569C22—3161no—
1570C22—3161no—
1571C22—3161no—
1572C22—794no—
1573C22—1582no—
1574C22—1582no—
1575C22—1582no—
1576C22—1582no—
1577C22—1582no—
1578C22—1582no—
1579C22—1582no—
1580C22—1582no—
1581C22—1582no—
1582C22C2×#41×D7911yescharacteristic
1583C22H(5,𝔽2)×D7911yescharacteristic
1584C22H(5,𝔽2)×D7911yescharacteristic
1585C22H(5,𝔽2)×D7911yescharacteristic
1586C22C2×#1457920611yescharacteristic
1587C222−1+4×D7911yescharacteristic
1588C22#1909939911yescharacteristic
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—3161no—
1602C4—3161no—
1603C4—3161no—
1604C4—3161no—
1605C4—3161no—
1606C4—3161no—
1607C4—3161no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—1582no—
1613C4—1582no—
1614C2—42no—
1615C2—81no—
1616C2—81no—
1617C2—3162no—
1618C2—6321no—
1619C2—1584no—
1620C2#538×D7911yescharacteristic
1621C2#2377710211yescharacteristic
1622C2#2377724811yescharacteristic
1623C2#2377755411yescharacteristic
1624C2#2377758211yescharacteristic
1625C2#2377760211yescharacteristic
1626C2#2377761911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2710C2
hypercenter#2710D79
hypocenterC79#36791
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2710

Complements

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

NH ≅ G/Ntype
1. #23771689C2semidirect
2. #23771681C2semidirect
3. #23771344C2semidirect
4. #23771264C2semidirect
5. #23771149C2semidirect
6. #23771095C2semidirect
7. #23771053C2semidirect
8. #23771015C2semidirect
9. #23770657C2semidirect
10. #23770638C2semidirect
11. #23770563C2semidirect
12. #23770193C2semidirect
13. #23770117C2semidirect
14. #23770114C2semidirect
15. #23769934C2semidirect
16. #23769800C2semidirect
17. #23769767C2semidirect
18. #23769352C2semidirect
19. #23769329C2semidirect
20. #23767667C2semidirect
21. #23767522C2semidirect
22. #23767138C2semidirect
23. #23767073C2semidirect
24. #23767005C2semidirect
25. #23766929C2semidirect
26. #23766784C2semidirect
27. #23766714C2semidirect
28. #23766064C2semidirect
29. #23765990C2semidirect
30. #385×D79C2semidirect
31. C79×#2710C2semidirect
34. C2×#14579154C22semidirect
36. C2×#14579143C22semidirect
53. C79⋊#401C22semidirect
54. #19098505C22semidirect
55. #19098505C22semidirect
56. #19098505C22semidirect
57. #19098504C22semidirect
58. #19098504C22semidirect
59. #19098504C22semidirect
60. #19098504C22semidirect
61. #19098502C22semidirect
62. #19098497C22semidirect
63. #19098494C22semidirect
64. #19098493C22semidirect
66. #19098491C22semidirect
67. #19098491C22semidirect
68. #19098490C22semidirect
69. #19098489C22semidirect
70. #19098488C22semidirect
71. #19098488C22semidirect
74. #19098486C22semidirect
75. #19098486C22semidirect
77. #19098483C22semidirect
78. #19098482C22semidirect
83. #19098478C22semidirect
84. #19098478C22semidirect
85. #19098478C22semidirect
88. #19098476C22semidirect
91. #19098474C22semidirect
94. #19098471C22semidirect
95. #19098469C22semidirect
96. #19098468C22semidirect
97. #19098466C22semidirect
102. #19098460C22semidirect
103. #19098458C22semidirect
107. #19098454C22semidirect
109. #19098453C22semidirect
110. #19098451C22semidirect
111. #19098450C22semidirect
112. #19098449C22semidirect
113. #19098448C22semidirect
114. #19098447C22semidirect
115. #19098447C22semidirect
116. #19098445C22semidirect
117. #19098444C22semidirect
127. #19098440C22semidirect
128. #19098440C22semidirect
145. #19098437C22semidirect
148. #19098435C22semidirect
149. #19098435C22semidirect
156. #19098434C22semidirect
157. #19098434C22semidirect
164. #19098421C22semidirect
165. #19098421C22semidirect
166. #19098421C22semidirect
167. #19098421C22semidirect
174. #399×C79C22semidirect
175. #397×C79C22semidirect
177. #394×C79C22semidirect
178. #393×C79C22semidirect
180. #391×C79C22semidirect
181. #390×C79C22semidirect
182. #389×C79C22semidirect
184. #388×C79C22semidirect
826. #2710D79semidirect
845. C79#36791semidirect
878. #399C2×D79semidirect
889. #397C2×D79semidirect
906. #394C2×D79semidirect
912. #393C2×D79semidirect
919. #391C2×D79semidirect
925. #390C2×D79semidirect
928. #389C2×D79semidirect
937. #388C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716892
#237716812
#237713442
#237712642
#237711492
#237710952
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