Finite Group Databasebeta

← #34502088

Subgroups — #34502088

Order 20224.

2150 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099154C211yesmaximal, characteristic, complemented
2C2×#126×D79C211yesmaximal, characteristic, complemented
3#23771738C211yesmaximal, characteristic, complemented
4#23771727C211yesmaximal, characteristic, complemented
5#23770364C211yesmaximal, characteristic, complemented
6#23770362C211yesmaximal, characteristic, complemented
7#23770358C211yesmaximal, characteristic, complemented
8#23770344C211yesmaximal, characteristic, complemented
9#23770340C211yesmaximal, characteristic, complemented
10#23770337C211yesmaximal, characteristic, complemented
11#23770333C211yesmaximal, characteristic, complemented
12#23770079C211yesmaximal, characteristic, complemented
13#23770075C211yesmaximal, characteristic, complemented
14#23770072C211yesmaximal, characteristic, complemented
15#23770068C211yesmaximal, characteristic, complemented
16#23770033C211yesmaximal, characteristic, complemented
17#23770029C211yesmaximal, characteristic, complemented
18#23770026C211yesmaximal, characteristic, complemented
19#23770022C211yesmaximal, characteristic, complemented
20#23769206C211yesmaximal, characteristic, complemented
21#23769139C211yesmaximal, characteristic
22#23768294C211yesmaximal, characteristic, complemented
23#23768285C211yesmaximal, characteristic, complemented
24#23767715C211yesmaximal, characteristic, complemented
25#23767710C211yesmaximal, characteristic, complemented
26#23766804C211yesmaximal, characteristic, complemented
27#23766802C211yesmaximal, characteristic, complemented
28#23766782C211yesmaximal, characteristic, complemented
29#23766780C211yesmaximal, characteristic, complemented
30#23766015C211yesmaximal, characteristic, complemented
31C79×#2727C211yesmaximal, characteristic, complemented
32#19099154—28no—
33C2×#14579156C2211yescharacteristic
34C2×#14579156C2211yescharacteristic
35C2×#14579156C2211yescharacteristic
36C2×#14579156C2211yescharacteristic, complemented
37C2×#14579155C2211yescharacteristic
38C2×#14579154C2211yescharacteristic
39C2×#14579154C2211yescharacteristic
40C2×#14579154C2211yescharacteristic
41#126×D79—28no—
42C2×#14579153C2211yescharacteristic, complemented
43C2×#14579152C2211yescharacteristic, complemented
44C2×#14579146C2211yescharacteristic
45C2×#14579146C2211yescharacteristic
46C2×#14579145C2211yescharacteristic, complemented
47C2×#14579143C2211yescharacteristic
48C2×#14579143C2211yescharacteristic
49C2×#14579143C2211yescharacteristic, complemented
50C2×#14579141C2211yescharacteristic
51C2×#14579139C2211yescharacteristic, complemented
52C2×#14579138C2211yescharacteristic, complemented
53C2×#14579134C2211yescharacteristic
54C2×#14579131C2211yescharacteristic
55C2×#14579129C2211yescharacteristic
56C2×C4×D316C2211yescharacteristic
57C2×(C22⋊D79)⋊C4C2211yescharacteristic
58C2×#14579119C2211yescharacteristic
59C2×#14579118C2211yescharacteristic
60C2×C4⋊C4×D79C2211yescharacteristic
61C2×C4⋊C4×D79C2211yescharacteristic
62C2×C4⋊C4×D79C2211yescharacteristic
63C2×C22⋊C4×D79C2211yescharacteristic
64C2×C22⋊C4×D79C2211yescharacteristic
65C2×C22⋊C4×D79C2211yescharacteristic
66C2×C42×D79C2211yescharacteristic
67#19098505C2211yescharacteristic, complemented
68#19098505C2211yescharacteristic, complemented
69#19098503C2211yescharacteristic, complemented
70#19098501C2211yescharacteristic, complemented
71#19098499C2211yescharacteristic, complemented
72#19098498C2211yescharacteristic
73#19098498C2211yescharacteristic, complemented
74#19098498C2211yescharacteristic, complemented
75#19098497C2211yescharacteristic, complemented
76#19098496C2211yescharacteristic, complemented
77#19098494C2211yescharacteristic, complemented
78#19098493C2211yescharacteristic, complemented
79#19098492C2211yescharacteristic
80#19098491C2211yescharacteristic
81#19098487C2211yescharacteristic, complemented
82#19098486C2211yescharacteristic
83#19098486C2211yescharacteristic
84#19098486C2211yescharacteristic
85#19098486C2211yescharacteristic
86#19098486C2211yescharacteristic
87#19098486C2211yescharacteristic, complemented
88#19098485C2211yescharacteristic
89#19098485C2211yescharacteristic
90#19098485C2211yescharacteristic
91#19098485C2211yescharacteristic
92#19098485C2211yescharacteristic
93#19098485C2211yescharacteristic
94#19098485C2211yescharacteristic, complemented
95#19098481C2211yescharacteristic
96#19098480C2211yescharacteristic
97#19098480C2211yescharacteristic
98#19098479C2211yescharacteristic
99#19098479C2211yescharacteristic
100#19098479C2211yescharacteristic
101#19098479C2211yescharacteristic
102#19098478C2211yescharacteristic
103#19098478C2211yescharacteristic
104#19098477C2211yescharacteristic
105#19098476C2211yescharacteristic
106#19098475C2211yescharacteristic
107#19098472C2211yescharacteristic
108#19098471C2211yescharacteristic
109#19098469C2211yescharacteristic, complemented
110#19098468C2211yescharacteristic, complemented
111#19098464C2211yescharacteristic
112#19098463C2211yescharacteristic
113#19098463C2211yescharacteristic
114#19098463C2211yescharacteristic, complemented
115#19098463C2211yescharacteristic, complemented
116#19098462C2211yescharacteristic, complemented
117#19098462C2211yescharacteristic, complemented
118#19098461C2211yescharacteristic, complemented
119#19098461C2211yescharacteristic, complemented
120#19098460C2211yescharacteristic, complemented
121#19098460C2211yescharacteristic, complemented
122#19098460C2211yescharacteristic, complemented
123#19098460C2211yescharacteristic, complemented
124#19098459C2211yescharacteristic, complemented
125#19098459C2211yescharacteristic, complemented
126#19098458C2211yescharacteristic, complemented
127#19098458C2211yescharacteristic, complemented
128#19098458C2211yescharacteristic, complemented
129#19098458C2211yescharacteristic, complemented
130#19098458C2211yescharacteristic, complemented
131#19098458C2211yescharacteristic, complemented
132#19098457C2211yescharacteristic
133#19098456C2211yescharacteristic
134#19098456C2211yescharacteristic, complemented
135#19098455C2211yescharacteristic, complemented
136#19098454C2211yescharacteristic
137#19098454C2211yescharacteristic
138#19098454C2211yescharacteristic, complemented
139#19098454C2211yescharacteristic, complemented
140#19098453C2211yescharacteristic, complemented
141#19098452C2211yescharacteristic
142#19098452C2211yescharacteristic
143#19098451C2211yescharacteristic
144#19098451C2211yescharacteristic, complemented
145#19098451C2211yescharacteristic, complemented
146#19098450C2211yescharacteristic, complemented
147#19098450C2211yescharacteristic, complemented
148#19098449C2211yescharacteristic, complemented
149#19098449C2211yescharacteristic, complemented
150#19098443C2211yescharacteristic
151#19098441C2211yescharacteristic
152#19098441C2211yescharacteristic
153#19098441C2211yescharacteristic
154#19098440C2211yescharacteristic
155#19098439C2211yescharacteristic
156#19098439C2211yescharacteristic
157#19098439C2211yescharacteristic
158#19098434C2211yescharacteristic
159#19098434C2211yescharacteristic
160#19098434C2211yescharacteristic
161#19098434C2211yescharacteristic
162#19098425C2211yescharacteristic
163#19098425C2211yescharacteristic
164#19098422C2211yescharacteristic
165#19098422C2211yescharacteristic
166#19098421C2211yescharacteristic, complemented
167#19098421C2211yescharacteristic, complemented
168#19098420C2211yescharacteristic
169#19098420C2211yescharacteristic
170#19098420C2211yescharacteristic, complemented
171#19098420C2211yescharacteristic, complemented
172#19098418C2211yescharacteristic
173#19098418C2211yescharacteristic
174C2×#126×C79C2211yescharacteristic
175C2×#126×C79C2211yescharacteristic, complemented
176#399×C79C2211yescharacteristic
177#399×C79C2211yescharacteristic, complemented
178#396×C79C2211yescharacteristic
179#396×C79C2211yescharacteristic, complemented
180#394×C79C2211yescharacteristic
181#394×C79C2211yescharacteristic
182#390×C79C2211yescharacteristic
183#389×C79C2211yescharacteristic, complemented
184#389×C79C2211yescharacteristic, complemented
185#389×C79C2211yescharacteristic, complemented
186#389×C79C2211yescharacteristic, complemented
187#388×C79C2211yescharacteristic
188#388×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C22×C4×D79C2311yescharacteristic
199C22×C4×D79C2311yescharacteristic
200C22×C4×D79C2311yescharacteristic
201C22×C4×D79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205#14579156—24no—
206#14579156—24no—
207#14579156—24no—
208#14579156—24no—
209#14579155—24no—
210#14579154—24no—
211#14579154—24no—
212#14579154—24no—
213#14579153—24no—
214#14579152—24no—
215#14579146—24no—
216#14579146—42no—
217#14579145—24no—
218#14579143—24no—
219#14579143—24no—
220#14579143—42no—
221#14579141—24no—
222#14579139—24no—
223#14579138—24no—
224#14579134—24no—
225#14579131—42no—
226#14579129—42no—
227C4×D316—24no—
228(C22⋊D79)⋊C4—24no—
229#14579119—42no—
230#14579118—42no—
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
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
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C4⋊C4×D79—24no—
265C4⋊C4×D79—24no—
266C4⋊C4×D79D418yescomplemented
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
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
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C22⋊C4×D79—24no—
306C22⋊C4×D79—24no—
307C22⋊C4×D79—24no—
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
314C2×C4×Dic79C2311yescharacteristic
315C42×D79—24no—
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
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C22×D4×C79C2311yescharacteristic
343#126×C79—24no—
344#126×C79—24no—
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C4⋊C4×C79C2311yescharacteristic
350C2×C4⋊C4×C79C2311yescharacteristic
351C2×C4⋊C4×C79C2311yescharacteristic
352C2×C4⋊C4×C79C2311yescharacteristic
353C2×C4⋊C4×C79C2311yescharacteristic
354C2×C4⋊C4×C79C2311yescharacteristic
355C2×C4⋊C4×C79C2311yescharacteristic
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C42×C79C2311yescharacteristic
371C2×C42×C79C2311yescharacteristic
372C2×C42×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376#95×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379C23×D79—22no—
380C23×D79—22no—
381C23×D79—22no—
382C23×D79—41no—
383C23×D79—41no—
384C23×D79—41no—
385C23×D79—41no—
386C23×D79C2411yescharacteristic
387C23×D79C2411yescharacteristic
388C23×D79C2411yescharacteristic
389C2×Dic158—22no—
390C2×Dic158—41no—
391C2×Dic158—41no—
392C2×D316—22no—
393C2×D316—22no—
394C2×D316—22no—
395C2×D316—41no—
396C2×D316—41no—
397C2×D316—41no—
398C2×C22⋊D79—22no—
399C2×C22⋊D79—22no—
400C2×C22⋊D79—22no—
401C2×C22⋊D79—22no—
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—41no—
412C22×Dic79—41no—
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C2×C4×D79—22no—
427C2×C4×D79—22no—
428C2×C4×D79—22no—
429C2×C4×D79—22no—
430C2×C4×D79—22no—
431C2×C4×D79—22no—
432C2×C4×D79—22no—
433C2×C4×D79—22no—
434C2×C4×D79—41no—
435C2×C4×D79—41no—
436C2×C4×D79—41no—
437C2×C4×D79—41no—
438C2×C4×D79—41no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C2×C4×D79—41no—
442C2×C4×D79—41no—
443C2×C4×D79—41no—
444C2×C4×D79C2×D414yes—
445C2×C4×D79C2×D414yes—
446C2×C4×D79C2×D414yes—
447C4⋊Dic79—22no—
448C4⋊Dic79—22no—
449C4⋊Dic79—22no—
450C4⋊Dic79—22no—
451C4⋊Dic79—22no—
452C4⋊Dic79—22no—
453C4⋊Dic79—41no—
454C4⋊Dic79—41no—
455C4⋊Dic79—41no—
456C4⋊Dic79—41no—
457C4⋊Dic79C2×D414yes—
458Dic79⋊C4—22no—
459Dic79⋊C4—22no—
460Dic79⋊C4—22no—
461Dic79⋊C4—22no—
462Dic79⋊C4—22no—
463Dic79⋊C4—22no—
464Dic79⋊C4—22no—
465Dic79⋊C4—22no—
466Dic79⋊C4—41no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
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⋊C4C2×D414yes—
479Dic79⋊C4C2×D414yes—
480C22⋊Dic79—22no—
481C22⋊Dic79—22no—
482C22⋊Dic79—22no—
483C22⋊Dic79—22no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
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—22no—
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—22no—
519C4×Dic79—22no—
520C4×Dic79—22no—
521C4×Dic79—22no—
522C4×Dic79—41no—
523C4×Dic79—41no—
524C4×Dic79—41no—
525C24×C79C2411yescharacteristic
526C24×C79C2411yescharacteristic
527C2×D4×C79—41no—
528C2×D4×C79—41no—
529C2×D4×C79—41no—
530C22×C4×C79C2411yescharacteristic
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C22×C4×C79C2411yescharacteristic
541C22×C4×C79C2411yescharacteristic
542C22×C4×C79C2411yescharacteristic
543C4⋊C4×C79—22no—
544C4⋊C4×C79—22no—
545C4⋊C4×C79—22no—
546C4⋊C4×C79—22no—
547C4⋊C4×C79—41no—
548C4⋊C4×C79—41no—
549C4⋊C4×C79—41no—
550C4⋊C4×C79—41no—
551C4⋊C4×C79—41no—
552C4⋊C4×C79—41no—
553C4⋊C4×C79—41no—
554C4⋊C4×C79—41no—
555C4⋊C4×C79C2×D414yes—
556C22⋊C4×C79—22no—
557C22⋊C4×C79—22no—
558C22⋊C4×C79—22no—
559C22⋊C4×C79—22no—
560C22⋊C4×C79—22no—
561C22⋊C4×C79—22no—
562C22⋊C4×C79—41no—
563C22⋊C4×C79—41no—
564C22⋊C4×C79—41no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C42×C79—22no—
569C42×C79—22no—
570C42×C79—41no—
571C23×C79—21no—
572C23×C79—21no—
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×C79C2511yescharacteristic
586C22×D79—21no—
587C22×D79—21no—
588C22×D79—21no—
589C22×D79—21no—
590C22×D79—21no—
591C22×D79—21no—
592C22×D79—21no—
593C22×D79—21no—
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—44no—
605C22×D79—44no—
606C22×D79—44no—
607C22×D79—82no—
608C22×D79—82no—
609C22×D79—82no—
610C22×D79—82no—
611C22×D79C22×D412yes—
612C22×D79H(5,𝔽2)12yes—
613C22×D792−1+412yes—
614D4×C79—82no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
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×C79C22×D412yes—
652C2×C4×C79C22×D412yes—
653C2×C4×C79C22×D412yes—
654C22⋊D79—44no—
655C22⋊D79—82no—
656C22⋊D79—82no—
657C22⋊D79—82no—
658C2×Dic79—21no—
659C2×Dic79—21no—
660C2×Dic79—21no—
661C2×Dic79—21no—
662C2×Dic79—21no—
663C2×Dic79—21no—
664C2×Dic79—21no—
665C2×Dic79—21no—
666C2×Dic79—21no—
667C2×Dic79—21no—
668C2×Dic79—21no—
669C2×Dic79—21no—
670C2×Dic79—21no—
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—82no—
695C2×Dic79C22×D412yes—
696C2×Dic79C22×D412yes—
697C2×Dic79C22×D412yes—
698D316—44no—
699D316—82no—
700C4×D79—28no—
701C4×D79—44no—
702C4×D79—44no—
703C4×D79—44no—
704C4×D79—44no—
705C4×D79—44no—
706C4×D79—82no—
707Dic158—82no—
708C22×C79—41no—
709C22×C79—41no—
710C22×C79—41no—
711C22×C79—41no—
712C22×C79—41no—
713C22×C79—41no—
714C22×C79—41no—
715C22×C79—41no—
716C22×C79—41no—
717C22×C79—41no—
718C22×C79—41no—
719C22×C79—41no—
720C22×C79—41no—
721C22×C79—41no—
722C22×C79C23×D411yescharacteristic
723C22×C79C2×H(5,𝔽2)11yescharacteristic
724C22×C79C2×2−1+411yescharacteristic
725C22×C79#58511yescharacteristic
726C22×C79#58511yescharacteristic
727C22×C79#58511yescharacteristic
728C22×C79#58511yescharacteristic
729C2×D79—22no—
730C2×D79—22no—
731C2×D79—22no—
732C2×D79—22no—
733C2×D79—22no—
734C2×D79—22no—
735C2×D79—41no—
736C2×D79—41no—
737C2×D79—41no—
738C2×D79—41no—
739C2×D79—41no—
740C2×D79—41no—
741C2×D79—41no—
742C2×D79—41no—
743C2×D79—41no—
744C2×D79—41no—
745C2×D79—41no—
746C2×D79—41no—
747C2×D79—41no—
748C2×D79—41no—
749C2×D79—88no—
750C2×D79#53714yes—
751C4×C79—22no—
752C4×C79—22no—
753C4×C79—22no—
754C4×C79—41no—
755C4×C79—41no—
756C4×C79—41no—
757C4×C79—41no—
758C4×C79—41no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764Dic79—22no—
765Dic79—22no—
766Dic79—22no—
767Dic79—41no—
768Dic79—41no—
769Dic79—41no—
770Dic79—41no—
771Dic79—41no—
772Dic79—41no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777#36971—791nomaximal, Sylow
778C2×C79—81no—
779C2×C79—81no—
780C2×C79C2×#53711yescharacteristic
781C2×C79#348511yescharacteristic
782C2×C79#348711yescharacteristic
783C2×C79#356011yescharacteristic
784C2×C79#356011yescharacteristic
785C2×C79#356411yescharacteristic
786C2×C79#356411yescharacteristic
787D79—24no—
788D79—81no—
789D79—81no—
790C2×#539—791no—
791C22×#126—791no—
792#2855—791no—
793#2854—791no—
794#2727—791no—
795#2727—791no—
796#2727—791no—
797#2727D7911yescharacteristic, complemented
798#2725—791no—
799#2725—791no—
800#2725—791no—
801#2725—791no—
802#2705—791no—
803#2705—791no—
804#2705—791no—
805#2705—791no—
806#2702—791no—
807#2702—791no—
808#2702—791no—
809#2702—791no—
810#2626—791no—
811#2617—791no—
812#2534—791no—
813#2534—791no—
814#2487—791no—
815#2487—791no—
816#2413—791no—
817#2413—791no—
818#2411—791no—
819#2411—791no—
820#2316—791no—
821C79#3697111yescharacteristic, complemented, Sylow
822#539—1588no—
823C2×#126—791no—
824C2×#126—791no—
825C2×#126—791no—
826C2×#126—791no—
827C2×#126—791no—
828C2×#126—791no—
829C2×#126—791no—
830C2×#126—791no—
831C2×#126—1588no—
832C2×#126C2×D7911yescharacteristic
833C2×#126C2×D7911yescharacteristic, complemented
834C2×#125—791no—
835C2×#125—791no—
836C2×#123—791no—
837C2×#123—791no—
838C2×#123—791no—
839C2×#123—791no—
840C2×#123—791no—
841C2×#123—791no—
842C2×C22⋊Q8—791no—
843C2×C22⋊Q8—791no—
844C2×C22⋊Q8—791no—
845C2×#121—791no—
846C2×#120—791no—
847C2×#120—791no—
848C2×C4×D4—791no—
849C2×C4×D4—791no—
850C2×#117—791no—
851C2×#117—791no—
852C22×C4⋊C4—791no—
853C22×C4⋊C4—791no—
854C22×C4⋊C4—791no—
855C22×C22⋊C4—791no—
856C22×C22⋊C4—791no—
857C22×C22⋊C4—791no—
858C22×C42—791no—
859#400—791no—
860#400—791no—
861#400—791no—
862#400—791no—
863#399—791no—
864#399—791no—
865#399—791no—
866#399—791no—
867#399C2×D7911yescharacteristic
868#399C2×D7911yescharacteristic, complemented
869#398—791no—
870#398—791no—
871#398—791no—
872#398—791no—
873#397—791no—
874#397—791no—
875#396—791no—
876#396—791no—
877#396—791no—
878#396—791no—
879#396—791no—
880#396—791no—
881#396—791no—
882#396—791no—
883#396—791no—
884#396—791no—
885#396—791no—
886#396—791no—
887#396—791no—
888#396—791no—
889#396C2×D7911yescharacteristic
890#396C2×D7911yescharacteristic, complemented
891#394—791no—
892#394—791no—
893#394—791no—
894#394—791no—
895#394—791no—
896#394—791no—
897#394—791no—
898#394—791no—
899#394—791no—
900#394—791no—
901#394C2×D7911yescharacteristic
902#394C2×D7911yescharacteristic
903#393—791no—
904#393—791no—
905#392—791no—
906#392—791no—
907#391—791no—
908#391—791no—
909#390—791no—
910#390—791no—
911#390—791no—
912#390—791no—
913#390—791no—
914#390C2×D7911yescharacteristic
915#389—791no—
916#389—791no—
917#389—791no—
918#389—791no—
919#389—791no—
920#389—791no—
921#389—791no—
922#389—791no—
923#389—791no—
924#389—791no—
925#389—791no—
926#389—791no—
927#389—791no—
928#389—791no—
929#389—791no—
930#389—791no—
931#389C2×D7911yescharacteristic, complemented
932#389C2×D7911yescharacteristic, complemented
933#389C2×D7911yescharacteristic, complemented
934#389C2×D7911yescharacteristic, complemented
935#388—791no—
936#388—791no—
937#388—791no—
938#388—791no—
939#388—791no—
940#388—791no—
941#388—791no—
942#388—791no—
943#388—791no—
944#388—791no—
945#388—791no—
946#388—791no—
947#388—791no—
948#388—791no—
949#388C2×D7911yescharacteristic
950#388C2×D7911yescharacteristic, complemented
951#387—791no—
952#387—791no—
953#387—791no—
954#387—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#385—791no—
964#385—791no—
965#385—791no—
966#385—791no—
967#381—791no—
968#381—791no—
969#380—791no—
970#380—791no—
971#380—791no—
972#380—791no—
973#380—791no—
974#380—791no—
975#380—791no—
976#380—791no—
977#379—791no—
978#379—791no—
979C25—791no—
980C22×Q8—791no—
981C22×D4—791no—
982C22×D4—791no—
983C22×D4—791no—
984C22×D4—791no—
985C22×D4—791no—
986C22×D4—791no—
987C22×D4C22×D7911yescharacteristic
988C23×C4—791no—
989C23×C4—791no—
990C23×C4—791no—
991C23×C4—791no—
992C23×C4—791no—
993C23×C4—791no—
994C23×C4—791no—
995C23×C4—791no—
996#126—24no—
997#126—24no—
998#126—1584no—
999#126—1584no—
1000#126—1584no—
1001#126—1584no—
1002#126—1584no—
1003#126—1584no—
1004#126—1584no—
1005#126—1584no—
1006#125—1584no—
1007#125—1584no—
1008#123—3162no—
1009#123—3162no—
1010#123—1584no—
1011#123—1584no—
1012#123—1584no—
1013#123—1584no—
1014C22⋊Q8—1584no—
1015C22⋊Q8—1584no—
1016C22⋊Q8—1584no—
1017#121—1584no—
1018#120—3162no—
1019#120—3162no—
1020C4×D4—1584no—
1021C4×D4—1584no—
1022#117—3162no—
1023#117—3162no—
1024C2×C4⋊C4—791no—
1025C2×C4⋊C4—791no—
1026C2×C4⋊C4—791no—
1027C2×C4⋊C4—791no—
1028C2×C4⋊C4—791no—
1029C2×C4⋊C4—791no—
1030C2×C4⋊C4—791no—
1031C2×C4⋊C4—791no—
1032C2×C4⋊C4—791no—
1033C2×C4⋊C4—791no—
1034C2×C4⋊C4—791no—
1035C2×C4⋊C4—791no—
1036C2×C4⋊C4—791no—
1037C2×C4⋊C4—791no—
1038C2×C4⋊C4—791no—
1039C2×C4⋊C4—791no—
1040C2×C4⋊C4—791no—
1041C2×C4⋊C4—791no—
1042C2×C4⋊C4—791no—
1043C2×C4⋊C4—798no—
1044C2×C4⋊C4—791no—
1045C2×C4⋊C4—791no—
1046C2×C4⋊C4—791no—
1047C2×C4⋊C4—791no—
1048C2×C4⋊C4—791no—
1049C2×C4⋊C4—791no—
1050C2×C4⋊C4—791no—
1051C2×C4⋊C4—791no—
1052C2×C4⋊C4—791no—
1053C2×C4⋊C4—791no—
1054C2×C4⋊C4—791no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4—791no—
1057C2×C4⋊C4—791no—
1058C2×C4⋊C4—1584no—
1059C2×C4⋊C4—1584no—
1060C2×C4⋊C4C22×D7911yescharacteristic
1061C2×C4⋊C4C22×D7911yescharacteristic
1062C2×C4⋊C4C22×D7911yescharacteristic
1063C2×C4⋊C4C22×D7911yescharacteristic
1064C2×C4⋊C4C22×D7911yescharacteristic
1065C2×C4⋊C4C22×D7911yescharacteristic
1066C2×C4⋊C4C22×D7911yescharacteristic
1067C2×C4⋊C4C22×D7911yescharacteristic
1068C2×C4⋊C4C22×D7911yescharacteristic
1069C2×C4⋊C4C22×D7911yescharacteristic
1070C2×C4⋊C4C22×D7911yescharacteristic
1071C2×C4⋊C4C22×D7911yescharacteristic
1072C2×C4⋊C4C22×D7911yescharacteristic
1073C2×C22⋊C4—791no—
1074C2×C22⋊C4—791no—
1075C2×C22⋊C4—791no—
1076C2×C22⋊C4—791no—
1077C2×C22⋊C4—791no—
1078C2×C22⋊C4—791no—
1079C2×C22⋊C4—791no—
1080C2×C22⋊C4—791no—
1081C2×C22⋊C4—791no—
1082C2×C22⋊C4—791no—
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—1584no—
1112C2×C22⋊C4—1584no—
1113C2×C22⋊C4—1584no—
1114C2×C22⋊C4C22×D7911yescharacteristic
1115C2×C22⋊C4C22×D7911yescharacteristic
1116C2×C22⋊C4C22×D7911yescharacteristic
1117C2×C22⋊C4C22×D7911yescharacteristic
1118C2×C22⋊C4C22×D7911yescharacteristic
1119C2×C22⋊C4C22×D7911yescharacteristic
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×C42—791no—
1127C2×C42—791no—
1128C2×C42—791no—
1129C2×C42—791no—
1130C2×C42—791no—
1131C2×C42—791no—
1132C2×C42—791no—
1133C2×C42—1584no—
1134C2×C42C22×D7911yescharacteristic
1135C2×C42C22×D7911yescharacteristic
1136C2×C42C22×D7911yescharacteristic
1137#95—791no—
1138#95—791no—
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#95C22×D7911yescharacteristic
1164#95C22×D7911yescharacteristic
1165#95C22×D7911yescharacteristic
1166#95C22×D7911yescharacteristic
1167#95C22×D7911yescharacteristic
1168#95C22×D7911yescharacteristic
1169C24—3161no—
1170C24—3161no—
1171C24—3161no—
1172C24—3161no—
1173C24—791no—
1174C24—791no—
1175C24—791no—
1176C24—1582no—
1177C24—1582no—
1178C24—1582no—
1179C24C23×D7911yescharacteristic
1180C24C23×D7911yescharacteristic
1181C2×Q8—3161no—
1182C2×Q8—3161no—
1183C2×Q8—1582no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—3161no—
1188C2×D4—3161no—
1189C2×D4—3161no—
1190C2×D4—3161no—
1191C2×D4—3161no—
1192C2×D4—3161no—
1193C2×D4—3161no—
1194C2×D4—3161no—
1195C2×D4—3161no—
1196C2×D4—3161no—
1197C2×D4—3161no—
1198C2×D4—1582no—
1199C2×D4—1582no—
1200C2×D4—1582no—
1201C2×D4—1582no—
1202C2×D4—1582no—
1203C2×D4—1582no—
1204C2×D4—1582no—
1205C22×C4—3161no—
1206C22×C4—3161no—
1207C22×C4—3161no—
1208C22×C4—3161no—
1209C22×C4—3161no—
1210C22×C4—3161no—
1211C22×C4—3161no—
1212C22×C4—3161no—
1213C22×C4—3161no—
1214C22×C4—3161no—
1215C22×C4—3161no—
1216C22×C4—3161no—
1217C22×C4—794no—
1218C22×C4—794no—
1219C22×C4—791no—
1220C22×C4—791no—
1221C22×C4—791no—
1222C22×C4—794no—
1223C22×C4—791no—
1224C22×C4—791no—
1225C22×C4—791no—
1226C22×C4—791no—
1227C22×C4—791no—
1228C22×C4—791no—
1229C22×C4—791no—
1230C22×C4—791no—
1231C22×C4—791no—
1232C22×C4—791no—
1233C22×C4—1582no—
1234C22×C4—1582no—
1235C22×C4—1582no—
1236C22×C4—1582no—
1237C22×C4—1582no—
1238C22×C4—1582no—
1239C22×C4—1582no—
1240C22×C4—1582no—
1241C22×C4—1582no—
1242C22×C4C23×D7911yescharacteristic
1243C22×C4C23×D7911yescharacteristic
1244C22×C4C23×D7911yescharacteristic
1245C22×C4C23×D7911yescharacteristic
1246C22×C4C23×D7911yescharacteristic
1247C22×C4C23×D7911yescharacteristic
1248C22×C4C23×D7911yescharacteristic
1249C22×C4C23×D7911yescharacteristic
1250C22×C4C23×D7911yescharacteristic
1251C22×C4C23×D7911yescharacteristic
1252C22×C4C23×D7911yescharacteristic
1253C22×C4C23×D7911yescharacteristic
1254C22×C4C23×D7911yescharacteristic
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—3161no—
1268C4⋊C4—3161no—
1269C4⋊C4—3161no—
1270C4⋊C4—3161no—
1271C4⋊C4—3161no—
1272C4⋊C4—3161no—
1273C4⋊C4—3161no—
1274C4⋊C4—3161no—
1275C4⋊C4—3161no—
1276C4⋊C4—3161no—
1277C4⋊C4—3161no—
1278C4⋊C4—3161no—
1279C4⋊C4—3161no—
1280C4⋊C4—3161no—
1281C4⋊C4—3161no—
1282C4⋊C4—3161no—
1283C4⋊C4—794no—
1284C4⋊C4—794no—
1285C4⋊C4—794no—
1286C4⋊C4—1582no—
1287C4⋊C4—1582no—
1288C4⋊C4—1582no—
1289C4⋊C4—1582no—
1290C4⋊C4—1582no—
1291C4⋊C4—1582no—
1292C4⋊C4—1582no—
1293C4⋊C4—1582no—
1294C4⋊C4—1582no—
1295C4⋊C4—1582no—
1296C4⋊C4—1582no—
1297C4⋊C4—1582no—
1298C4⋊C4—1582no—
1299C4⋊C4—1582no—
1300C4⋊C4D4×D7914yes—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—3161no—
1314C22⋊C4—3161no—
1315C22⋊C4—3161no—
1316C22⋊C4—3161no—
1317C22⋊C4—3161no—
1318C22⋊C4—3161no—
1319C22⋊C4—3161no—
1320C22⋊C4—3161no—
1321C22⋊C4—3161no—
1322C22⋊C4—3161no—
1323C22⋊C4—3161no—
1324C22⋊C4—3161no—
1325C22⋊C4—3161no—
1326C22⋊C4—3161no—
1327C22⋊C4—3161no—
1328C22⋊C4—3161no—
1329C22⋊C4—3161no—
1330C22⋊C4—3161no—
1331C22⋊C4—1582no—
1332C22⋊C4—1582no—
1333C22⋊C4—1582no—
1334C22⋊C4—1582no—
1335C22⋊C4—1582no—
1336C22⋊C4—1582no—
1337C22⋊C4—1582no—
1338C22⋊C4—1582no—
1339C22⋊C4—1582no—
1340C22⋊C4—1582no—
1341C22⋊C4—1582no—
1342C22⋊C4—1582no—
1343C22⋊C4—1582no—
1344C22⋊C4—1582no—
1345C22⋊C4—1582no—
1346C22⋊C4—1582no—
1347C22⋊C4—1582no—
1348C22⋊C4—1582no—
1349C22⋊C4—1582no—
1350C22⋊C4—1582no—
1351C42—22no—
1352C42—22no—
1353C42—41no—
1354C42—3161no—
1355C42—3161no—
1356C42—3161no—
1357C42—1582no—
1358C42—1582no—
1359C42—1582no—
1360C42—1582no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—3164no—
1376C23—3164no—
1377C23—3164no—
1378C23—792no—
1379C23—792no—
1380C23—792no—
1381C23—6322no—
1382C23—6322no—
1383C23—6322no—
1384C23—6322no—
1385C23—1581no—
1386C23—1581no—
1387C23—1581no—
1388C23—1581no—
1389C23—1581no—
1390C23—1581no—
1391C23—1581no—
1392C23—1581no—
1393C23—1581no—
1394C23—1581no—
1395C23—1581no—
1396C23—1581no—
1397C23—1581no—
1398C23—1581no—
1399C23—1581no—
1400C23—1581no—
1401C23—1581no—
1402C23—1581no—
1403C23C24×D7911yescharacteristic
1404Q8—6322no—
1405D4—82no—
1406D4—3164no—
1407D4—3164no—
1408D4—6322no—
1409D4—6322no—
1410D4—6322no—
1411D4—6322no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—3164no—
1449C2×C4—3164no—
1450C2×C4—3164no—
1451C2×C4—3164no—
1452C2×C4—3164no—
1453C2×C4—792no—
1454C2×C4—792no—
1455C2×C4—792no—
1456C2×C4—6322no—
1457C2×C4—6322no—
1458C2×C4—1588no—
1459C2×C4—1581no—
1460C2×C4—1581no—
1461C2×C4—1581no—
1462C2×C4—1581no—
1463C2×C4—1581no—
1464C2×C4—1581no—
1465C2×C4—1581no—
1466C2×C4—1581no—
1467C2×C4—1581no—
1468C2×C4—1581no—
1469C2×C4—1581no—
1470C2×C4—1581no—
1471C2×C4—1581no—
1472C2×C4—1581no—
1473C2×C4—1581no—
1474C2×C4—1581no—
1475C2×C4—1581no—
1476C2×C4—1581no—
1477C2×C4—1581no—
1478C2×C4—1581no—
1479C2×C4—1581no—
1480C2×C4—1581no—
1481C2×C4—1581no—
1482C2×C4—1581no—
1483C2×C4—1581no—
1484C2×C4—1581no—
1485C2×C4—1581no—
1486C2×C4—1581no—
1487C2×C4—1581no—
1488C2×C4—1581no—
1489C2×C4—1581no—
1490C2×C4—1581no—
1491C2×C4—1581no—
1492C2×C4—1581no—
1493C2×C4—1581no—
1494C2×C4—1581no—
1495C2×C4C2×D4×D7912yes—
1496C2×C4C2×D4×D7912yes—
1497C2×C4C2×D4×D7912yes—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—3161no—
1513C22—3161no—
1514C22—3161no—
1515C22—3161no—
1516C22—3161no—
1517C22—3161no—
1518C22—3161no—
1519C22—3161no—
1520C22—3161no—
1521C22—3161no—
1522C22—3161no—
1523C22—3161no—
1524C22—3161no—
1525C22—3161no—
1526C22—794no—
1527C22—6328no—
1528C22—1582no—
1529C22—1582no—
1530C22—1582no—
1531C22—1582no—
1532C22—1582no—
1533C22—1582no—
1534C22C22×D4×D7911yescharacteristic
1535C22H(5,𝔽2)×D7911yescharacteristic
1536C222−1+4×D7911yescharacteristic
1537C22#1909939811yescharacteristic
1538C22#1909939911yescharacteristic
1539C22#1909939911yescharacteristic
1540C22#1909940011yescharacteristic
1541C4—22no—
1542C4—22no—
1543C4—22no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—3161no—
1555C4—3161no—
1556C4—3161no—
1557C4—3161no—
1558C4—3161no—
1559C4—3161no—
1560C4—3161no—
1561C4—3161no—
1562C4—3161no—
1563C4—3161no—
1564C4—1582no—
1565C4—1582no—
1566C4—1582no—
1567C2—81no—
1568C2—81no—
1569C2—6321no—
1570C2—6321no—
1571C2—1584no—
1572C2#537×D7911yescharacteristic
1573C2#2377703911yescharacteristic
1574C2#2377705311yescharacteristic
1575C2#2377794511yescharacteristic
1576C2#2377795311yescharacteristic
1577C2#2377801911yescharacteristic
1578C2#2377802211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2727C2
prime radical#23769139C2
hypercenter#2727D79
hypocenterC79#36971
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2727

Complements

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

NH ≅ G/Ntype
1. C2×#19099154C2semidirect
2. C2×#126×D79C2semidirect
3. #23771738C2semidirect
4. #23771727C2semidirect
5. #23770364C2semidirect
6. #23770362C2semidirect
7. #23770358C2semidirect
8. #23770344C2semidirect
9. #23770340C2semidirect
10. #23770337C2semidirect
11. #23770333C2semidirect
12. #23770079C2semidirect
13. #23770075C2semidirect
14. #23770072C2semidirect
15. #23770068C2semidirect
16. #23770033C2semidirect
17. #23770029C2semidirect
18. #23770026C2semidirect
19. #23770022C2semidirect
20. #23769206C2semidirect
22. #23768294C2semidirect
23. #23768285C2semidirect
24. #23767715C2semidirect
25. #23767710C2semidirect
26. #23766804C2semidirect
27. #23766802C2semidirect
28. #23766782C2semidirect
29. #23766780C2semidirect
30. #23766015C2semidirect
31. C79×#2727C2semidirect
36. C2×#14579156C22semidirect
42. C2×#14579153C22semidirect
43. C2×#14579152C22semidirect
46. C2×#14579145C22semidirect
49. C2×#14579143C22semidirect
51. C2×#14579139C22semidirect
52. C2×#14579138C22semidirect
67. #19098505C22semidirect
68. #19098505C22semidirect
69. #19098503C22semidirect
70. #19098501C22semidirect
71. #19098499C22semidirect
73. #19098498C22semidirect
74. #19098498C22semidirect
75. #19098497C22semidirect
76. #19098496C22semidirect
77. #19098494C22semidirect
78. #19098493C22semidirect
81. #19098487C22semidirect
87. #19098486C22semidirect
94. #19098485C22semidirect
109. #19098469C22semidirect
110. #19098468C22semidirect
114. #19098463C22semidirect
115. #19098463C22semidirect
116. #19098462C22semidirect
117. #19098462C22semidirect
118. #19098461C22semidirect
119. #19098461C22semidirect
120. #19098460C22semidirect
121. #19098460C22semidirect
122. #19098460C22semidirect
123. #19098460C22semidirect
124. #19098459C22semidirect
125. #19098459C22semidirect
126. #19098458C22semidirect
127. #19098458C22semidirect
128. #19098458C22semidirect
129. #19098458C22semidirect
130. #19098458C22semidirect
131. #19098458C22semidirect
134. #19098456C22semidirect
135. #19098455C22semidirect
138. #19098454C22semidirect
139. #19098454C22semidirect
140. #19098453C22semidirect
144. #19098451C22semidirect
145. #19098451C22semidirect
146. #19098450C22semidirect
147. #19098450C22semidirect
148. #19098449C22semidirect
149. #19098449C22semidirect
166. #19098421C22semidirect
167. #19098421C22semidirect
170. #19098420C22semidirect
171. #19098420C22semidirect
175. C2×#126×C79C22semidirect
177. #399×C79C22semidirect
179. #396×C79C22semidirect
183. #389×C79C22semidirect
184. #389×C79C22semidirect
185. #389×C79C22semidirect
186. #389×C79C22semidirect
188. #388×C79C22semidirect
266. C4⋊C4×D79D4semidirect
797. #2727D79semidirect
821. C79#36971semidirect
833. C2×#126C2×D79semidirect
868. #399C2×D79semidirect
890. #396C2×D79semidirect
931. #389C2×D79semidirect
932. #389C2×D79semidirect
933. #389C2×D79semidirect
934. #389C2×D79semidirect
950. #388C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991542
C2×#126×D792
#237717382
#237717272
#237703642
#237703622
#237703582
#237703442
#237703402
#237703372
#237703332
#237700792
#237700752
#237700722
#237700682
#237700332
#237700292
#237700262
#237700222
#237692062
#237691392
#237682942
#237682852
#237677152
#237677102
#237668042
#237668022
#237667822
#237667802
#237660152
C79×#27272
#3697179