Finite Group Databasebeta

← #34502086

Subgroups — #34502086

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×#19099156C211yesmaximal, characteristic, complemented
2C2×#126×D79C211yesmaximal, characteristic, complemented
3#23771735C211yesmaximal, characteristic, complemented
4#23771730C211yesmaximal, characteristic, complemented
5#23770365C211yesmaximal, characteristic, complemented
6#23770364C211yesmaximal, characteristic, complemented
7#23770359C211yesmaximal, characteristic, complemented
8#23770357C211yesmaximal, characteristic, complemented
9#23770345C211yesmaximal, characteristic, complemented
10#23770341C211yesmaximal, characteristic, complemented
11#23770338C211yesmaximal, characteristic, complemented
12#23770334C211yesmaximal, characteristic, complemented
13#23770080C211yesmaximal, characteristic, complemented
14#23770076C211yesmaximal, characteristic, complemented
15#23770069C211yesmaximal, characteristic, complemented
16#23770032C211yesmaximal, characteristic, complemented
17#23770028C211yesmaximal, characteristic, complemented
18#23770025C211yesmaximal, characteristic, complemented
19#23770021C211yesmaximal, characteristic, complemented
20#23769210C211yesmaximal, characteristic, complemented
21#23769133C211yesmaximal, characteristic
22#23768288C211yesmaximal, characteristic, complemented
23#23768285C211yesmaximal, characteristic, complemented
24#23767713C211yesmaximal, characteristic, complemented
25#23767710C211yesmaximal, characteristic, complemented
26#23766806C211yesmaximal, characteristic, complemented
27#23766802C211yesmaximal, characteristic, complemented
28#23766782C211yesmaximal, characteristic, complemented
29#23766778C211yesmaximal, characteristic, complemented
30#23766015C211yesmaximal, characteristic, complemented
31C79×#2705C211yesmaximal, characteristic, complemented
32#19099156—28no—
33C2×#14579156C2211yescharacteristic
34C2×#14579156C2211yescharacteristic
35C2×#14579156C2211yescharacteristic
36C2×#14579155C2211yescharacteristic
37C2×#14579154C2211yescharacteristic
38C2×#14579154C2211yescharacteristic
39C2×#14579154C2211yescharacteristic
40C2×#14579154C2211yescharacteristic, complemented
41C2×#14579154C2211yescharacteristic, complemented
42#126×D79—28no—
43C2×#14579152C2211yescharacteristic, complemented
44C2×#14579151C2211yescharacteristic, complemented
45C2×#14579143C2211yescharacteristic
46C2×#14579143C2211yescharacteristic
47C2×#14579143C2211yescharacteristic
48C2×#14579143C2211yescharacteristic
49C2×#14579142C2211yescharacteristic, complemented
50C2×#14579140C2211yescharacteristic, complemented
51C2×#14579139C2211yescharacteristic
52C2×#14579138C2211yescharacteristic, complemented
53C2×#14579132C2211yescharacteristic
54C2×#14579129C2211yescharacteristic
55C2×#14579129C2211yescharacteristic
56C2×C4×C22⋊D79C2211yescharacteristic
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#19098504C2211yescharacteristic, complemented
68#19098504C2211yescharacteristic, complemented
69#19098503C2211yescharacteristic, complemented
70#19098501C2211yescharacteristic, complemented
71#19098499C2211yescharacteristic
72#19098499C2211yescharacteristic, complemented
73#19098499C2211yescharacteristic, complemented
74#19098499C2211yescharacteristic, complemented
75#19098498C2211yescharacteristic
76#19098497C2211yescharacteristic, complemented
77#19098496C2211yescharacteristic, complemented
78#19098495C2211yescharacteristic, complemented
79#19098493C2211yescharacteristic, complemented
80#19098490C2211yescharacteristic
81#19098488C2211yescharacteristic
82#19098487C2211yescharacteristic
83#19098486C2211yescharacteristic
84#19098486C2211yescharacteristic
85#19098486C2211yescharacteristic
86#19098486C2211yescharacteristic
87#19098486C2211yescharacteristic
88#19098486C2211yescharacteristic, complemented
89#19098486C2211yescharacteristic, complemented
90#19098486C2211yescharacteristic, complemented
91#19098485C2211yescharacteristic
92#19098485C2211yescharacteristic
93#19098485C2211yescharacteristic
94#19098485C2211yescharacteristic
95#19098485C2211yescharacteristic
96#19098479C2211yescharacteristic
97#19098479C2211yescharacteristic
98#19098478C2211yescharacteristic
99#19098478C2211yescharacteristic
100#19098478C2211yescharacteristic
101#19098478C2211yescharacteristic
102#19098477C2211yescharacteristic
103#19098477C2211yescharacteristic
104#19098477C2211yescharacteristic
105#19098477C2211yescharacteristic
106#19098476C2211yescharacteristic
107#19098475C2211yescharacteristic
108#19098471C2211yescharacteristic
109#19098467C2211yescharacteristic, complemented
110#19098467C2211yescharacteristic, complemented
111#19098466C2211yescharacteristic
112#19098466C2211yescharacteristic, complemented
113#19098463C2211yescharacteristic
114#19098463C2211yescharacteristic
115#19098462C2211yescharacteristic, complemented
116#19098462C2211yescharacteristic, complemented
117#19098462C2211yescharacteristic, complemented
118#19098462C2211yescharacteristic, complemented
119#19098461C2211yescharacteristic, complemented
120#19098461C2211yescharacteristic, complemented
121#19098461C2211yescharacteristic, complemented
122#19098460C2211yescharacteristic, complemented
123#19098460C2211yescharacteristic, complemented
124#19098460C2211yescharacteristic, complemented
125#19098460C2211yescharacteristic, complemented
126#19098459C2211yescharacteristic, complemented
127#19098459C2211yescharacteristic, complemented
128#19098458C2211yescharacteristic, complemented
129#19098458C2211yescharacteristic, complemented
130#19098458C2211yescharacteristic, complemented
131#19098458C2211yescharacteristic, complemented
132#19098458C2211yescharacteristic, complemented
133#19098458C2211yescharacteristic, complemented
134#19098457C2211yescharacteristic
135#19098457C2211yescharacteristic, complemented
136#19098457C2211yescharacteristic, complemented
137#19098457C2211yescharacteristic, complemented
138#19098456C2211yescharacteristic
139#19098456C2211yescharacteristic
140#19098456C2211yescharacteristic, complemented
141#19098456C2211yescharacteristic, complemented
142#19098456C2211yescharacteristic, complemented
143#19098455C2211yescharacteristic
144#19098455C2211yescharacteristic
145#19098454C2211yescharacteristic
146#19098452C2211yescharacteristic
147#19098451C2211yescharacteristic
148#19098451C2211yescharacteristic, complemented
149#19098448C2211yescharacteristic, complemented
150#19098447C2211yescharacteristic, complemented
151#19098444C2211yescharacteristic, complemented
152#19098443C2211yescharacteristic
153#19098442C2211yescharacteristic
154#19098440C2211yescharacteristic
155#19098439C2211yescharacteristic
156#19098439C2211yescharacteristic
157#19098439C2211yescharacteristic
158#19098439C2211yescharacteristic
159#19098437C2211yescharacteristic
160#19098437C2211yescharacteristic
161#19098434C2211yescharacteristic
162#19098434C2211yescharacteristic
163#19098425C2211yescharacteristic
164#19098425C2211yescharacteristic
165#19098423C2211yescharacteristic, complemented
166#19098422C2211yescharacteristic
167#19098422C2211yescharacteristic
168#19098421C2211yescharacteristic, complemented
169#19098421C2211yescharacteristic, complemented
170#19098420C2211yescharacteristic
171#19098420C2211yescharacteristic
172#19098418C2211yescharacteristic
173#19098418C2211yescharacteristic
174C2×#126×C79C2211yescharacteristic
175C2×#123×C79C2211yescharacteristic, complemented
176#399×C79C2211yescharacteristic, complemented
177#396×C79C2211yescharacteristic
178#396×C79C2211yescharacteristic, complemented
179#394×C79C2211yescharacteristic
180#394×C79C2211yescharacteristic
181#392×C79C2211yescharacteristic
182#390×C79C2211yescharacteristic
183#390×C79C2211yescharacteristic, complemented
184#389×C79C2211yescharacteristic, complemented
185#388×C79C2211yescharacteristic, complemented
186#387×C79C2211yescharacteristic, complemented
187#386×C79C2211yescharacteristic
188#380×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C23×Dic79C2311yescharacteristic
196C22×C4×D79C2311yescharacteristic
197C22×C4×D79C2311yescharacteristic
198C22×C4×D79C2311yescharacteristic
199C22×C4×D79C2311yescharacteristic
200C22×C4×D79C2311yescharacteristic
201C22×C4×D79C2311yescharacteristic
202#14579156—24no—
203#14579156—24no—
204#14579156—24no—
205#14579155—24no—
206#14579154—24no—
207#14579154—24no—
208#14579154—24no—
209#14579154—24no—
210#14579154—24no—
211#14579152—24no—
212#14579151—24no—
213#14579143—24no—
214#14579143—24no—
215#14579143—42no—
216#14579143—42no—
217#14579142—24no—
218#14579140—24no—
219#14579139—24no—
220#14579138—24no—
221#14579132—24no—
222#14579129—42no—
223#14579129—42no—
224C4×C22⋊D79—24no—
225(C22⋊D79)⋊C4—24no—
226#14579119—42no—
227#14579118—42no—
228C2×C4⋊Dic79C2311yescharacteristic
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
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×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
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
264C2×Dic79⋊C4C2311yescharacteristic
265C4⋊C4×D79—24no—
266C4⋊C4×D79—24no—
267C4⋊C4×D79D418yescomplemented
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×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
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
304C22⋊C4×D79—24no—
305C22⋊C4×D79—24no—
306C22⋊C4×D79—24no—
307C2×C4×Dic79C2311yescharacteristic
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
343C22×D4×C79C2311yescharacteristic
344C22×D4×C79C2311yescharacteristic
345C23×C4×C79C2311yescharacteristic
346#126×C79—24no—
347#123×C79—24no—
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×C22⋊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×C22⋊C4×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
388C2×Dic158—22no—
389C2×Dic158—41no—
390C2×Dic158—41no—
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—41no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C22×Dic79—22no—
404C22×Dic79—41no—
405C22×Dic79—41no—
406C22×Dic79C2411yescharacteristic
407C22×Dic79C2411yescharacteristic
408C22×Dic79C2411yescharacteristic
409C22×Dic79C2411yescharacteristic
410C22×Dic79C2411yescharacteristic
411C22×Dic79C2411yescharacteristic
412C22×Dic79C2411yescharacteristic
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C2×C4×D79—22no—
421C2×C4×D79—22no—
422C2×C4×D79—22no—
423C2×C4×D79—22no—
424C2×C4×D79—22no—
425C2×C4×D79—22no—
426C2×C4×D79—22no—
427C2×C4×D79—41no—
428C2×C4×D79—41no—
429C2×C4×D79—41no—
430C2×C4×D79—41no—
431C2×C4×D79—41no—
432C2×C4×D79—41no—
433C2×C4×D79—41no—
434C2×C4×D79—41no—
435C2×C4×D79C2×D414yes—
436C2×C4×D79C2×D414yes—
437C2×C4×D79C2×D414yes—
438C4⋊Dic79—22no—
439C4⋊Dic79—22no—
440C4⋊Dic79—22no—
441C4⋊Dic79—22no—
442C4⋊Dic79—22no—
443C4⋊Dic79—41no—
444C4⋊Dic79—41no—
445C4⋊Dic79—41no—
446C4⋊Dic79—41no—
447C4⋊Dic79—41no—
448C4⋊Dic79—41no—
449C4⋊Dic79—41no—
450C4⋊Dic79C2×D414yes—
451Dic79⋊C4—22no—
452Dic79⋊C4—22no—
453Dic79⋊C4—22no—
454Dic79⋊C4—22no—
455Dic79⋊C4—22no—
456Dic79⋊C4—22no—
457Dic79⋊C4—22no—
458Dic79⋊C4—22no—
459Dic79⋊C4—22no—
460Dic79⋊C4—22no—
461Dic79⋊C4—41no—
462Dic79⋊C4—41no—
463Dic79⋊C4—41no—
464Dic79⋊C4—41no—
465Dic79⋊C4—41no—
466Dic79⋊C4—41no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4C2×D414yes—
474Dic79⋊C4C2×D414yes—
475C22⋊Dic79—22no—
476C22⋊Dic79—22no—
477C22⋊Dic79—22no—
478C22⋊Dic79—22no—
479C22⋊Dic79—22no—
480C22⋊Dic79—22no—
481C22⋊Dic79—22no—
482C22⋊Dic79—22no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492C22⋊Dic79—41no—
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—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—
511C4×Dic79—22no—
512C4×Dic79—22no—
513C4×Dic79—22no—
514C4×Dic79—22no—
515C4×Dic79—22no—
516C4×Dic79—41no—
517C4×Dic79—41no—
518C4×Dic79—41no—
519C24×C79C2411yescharacteristic
520C24×C79C2411yescharacteristic
521C24×C79C2411yescharacteristic
522C2×D4×C79—22no—
523C2×D4×C79—41no—
524C2×D4×C79—41no—
525C2×D4×C79—41no—
526C2×D4×C79—41no—
527C2×D4×C79—41no—
528C2×D4×C79—41no—
529C2×D4×C79—41no—
530C2×D4×C79—41no—
531C22×C4×C79—22no—
532C22×C4×C79—41no—
533C22×C4×C79—41no—
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
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C4⋊C4×C79—22no—
547C4⋊C4×C79—22no—
548C4⋊C4×C79—22no—
549C4⋊C4×C79—41no—
550C4⋊C4×C79—41no—
551C4⋊C4×C79—41no—
552C4⋊C4×C79—41no—
553C4⋊C4×C79—41no—
554C4⋊C4×C79C2×D414yes—
555C22⋊C4×C79—22no—
556C22⋊C4×C79—22no—
557C22⋊C4×C79—22no—
558C22⋊C4×C79—22no—
559C22⋊C4×C79—22no—
560C22⋊C4×C79—22no—
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—
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×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79C2511yescharacteristic
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—
615D4×C79—82no—
616D4×C79—82no—
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—82no—
651C2×C4×C79C22×D412yes—
652C2×C4×C79C22×D412yes—
653C2×C4×C79C22×D412yes—
654C22⋊D79—44no—
655C22⋊D79—44no—
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—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—82no—
698C2×Dic79C22×D412yes—
699C2×Dic79C22×D412yes—
700C2×Dic79C22×D412yes—
701C4×D79—28no—
702C4×D79—44no—
703C4×D79—44no—
704C4×D79—44no—
705C4×D79—44no—
706C4×D79—44no—
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×C79—41no—
723C22×C79—41no—
724C22×C79—41no—
725C22×C79—41no—
726C22×C79—41no—
727C22×C79—41no—
728C22×C79—41no—
729C22×C79C23×D411yescharacteristic
730C22×C79C2×H(5,𝔽2)11yescharacteristic
731C22×C79C2×2−1+411yescharacteristic
732C22×C79#58511yescharacteristic
733C22×C79#58511yescharacteristic
734C22×C79#58511yescharacteristic
735C22×C79#58511yescharacteristic
736C2×D79—22no—
737C2×D79—22no—
738C2×D79—22no—
739C2×D79—22no—
740C2×D79—22no—
741C2×D79—22no—
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—
763Dic79—22no—
764Dic79—22no—
765Dic79—22no—
766Dic79—41no—
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×C79—81no—
781C2×C79C2×#53711yescharacteristic
782C2×C79#348511yescharacteristic
783C2×C79#348711yescharacteristic
784C2×C79#356011yescharacteristic
785C2×C79#356011yescharacteristic
786C2×C79#356411yescharacteristic
787C2×C79#356411yescharacteristic
788D79—24no—
789D79—81no—
790C2×#539—791no—
791C22×#126—791no—
792#2855—791no—
793#2854—791no—
794#2727—791no—
795#2727—791no—
796#2727—791no—
797#2727—791no—
798#2725—791no—
799#2725—791no—
800#2725—791no—
801#2725—791no—
802#2705—791no—
803#2705—791no—
804#2705—791no—
805#2705D7911yescharacteristic, complemented
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—791no—
832C2×#126—1588no—
833C2×#126C2×D7911yescharacteristic
834C2×#125—791no—
835C2×#125—791no—
836C2×#123—791no—
837C2×#123—791no—
838C2×#123—791no—
839C2×#123—791no—
840C2×#123—791no—
841C2×#123C2×D7911yescharacteristic, complemented
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#399—791no—
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#392C2×D7911yescharacteristic
907#391—791no—
908#391—791no—
909#390—791no—
910#390—791no—
911#390—791no—
912#390—791no—
913#390C2×D7911yescharacteristic
914#390C2×D7911yescharacteristic, complemented
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#389—791no—
932#389—791no—
933#389—791no—
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#388—791no—
950#388C2×D7911yescharacteristic, complemented
951#387—791no—
952#387—791no—
953#387—791no—
954#387C2×D7911yescharacteristic, complemented
955#386—791no—
956#386—791no—
957#386—791no—
958#386—791no—
959#386—791no—
960#386—791no—
961#386—791no—
962#386C2×D7911yescharacteristic
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#380C2×D7911yescharacteristic, complemented
977#379—791no—
978#379—791no—
979C25—791no—
980C22×Q8—791no—
981C22×D4—791no—
982C22×D4—791no—
983C22×D4—791no—
984C22×D4—791no—
985C22×D4C22×D7911yescharacteristic
986C22×D4C22×D7911yescharacteristic
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×C4C22×D7911yescharacteristic
996#126—24no—
997#126—1584no—
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—24no—
1009#123—3162no—
1010#123—3162no—
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—791no—
1044C2×C4⋊C4—791no—
1045C2×C4⋊C4—791no—
1046C2×C4⋊C4—798no—
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—791no—
1059C2×C4⋊C4—791no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—1584no—
1063C2×C4⋊C4—1584no—
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—1584no—
1110C2×C22⋊C4—1584no—
1111C2×C22⋊C4—1584no—
1112C2×C22⋊C4C22×D7911yescharacteristic
1113C2×C22⋊C4C22×D7911yescharacteristic
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—791no—
1134C2×C42—1584no—
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—1582no—
1176C24—1582no—
1177C24—1582no—
1178C24C23×D7911yescharacteristic
1179C24C23×D7911yescharacteristic
1180C24C23×D7911yescharacteristic
1181C2×Q8—3161no—
1182C2×Q8—3161no—
1183C2×Q8—1582no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—3161no—
1194C2×D4—3161no—
1195C2×D4—3161no—
1196C2×D4—3161no—
1197C2×D4—3161no—
1198C2×D4—3161no—
1199C2×D4—1582no—
1200C2×D4—1582no—
1201C2×D4—1582no—
1202C2×D4—1582no—
1203C2×D4—1582no—
1204C2×D4—1582no—
1205C22×C4—22no—
1206C22×C4—41no—
1207C22×C4—41no—
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—3161no—
1218C22×C4—794no—
1219C22×C4—794no—
1220C22×C4—791no—
1221C22×C4—791no—
1222C22×C4—791no—
1223C22×C4—794no—
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—791no—
1234C22×C4—791no—
1235C22×C4—1582no—
1236C22×C4—1582no—
1237C22×C4—1582no—
1238C22×C4—1582no—
1239C22×C4—1582no—
1240C22×C4—1582no—
1241C22×C4—1582no—
1242C22×C4—1582no—
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—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—3161no—
1264C4⋊C4—3161no—
1265C4⋊C4—3161no—
1266C4⋊C4—3161no—
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—794no—
1283C4⋊C4—794no—
1284C4⋊C4—794no—
1285C4⋊C4—1582no—
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—41no—
1314C22⋊C4—41no—
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—41no—
1353C42—3161no—
1354C42—3161no—
1355C42—3161no—
1356C42—1582no—
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—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—3164no—
1383C23—3164no—
1384C23—3164no—
1385C23—792no—
1386C23—792no—
1387C23—792no—
1388C23—6322no—
1389C23—6322no—
1390C23—6322no—
1391C23—6322no—
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—82no—
1407D4—82no—
1408D4—3164no—
1409D4—3164no—
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—82no—
1446C2×C4—3164no—
1447C2×C4—3164no—
1448C2×C4—3164no—
1449C2×C4—3164no—
1450C2×C4—3164no—
1451C2×C4—792no—
1452C2×C4—792no—
1453C2×C4—792no—
1454C2×C4—6322no—
1455C2×C4—1588no—
1456C2×C4—1581no—
1457C2×C4—1581no—
1458C2×C4—1581no—
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—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
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#1909939811yescharacteristic
1539C22#1909939911yescharacteristic
1540C22#1909939911yescharacteristic
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—3161no—
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—81no—
1570C2—6321no—
1571C2—1584no—
1572C2#537×D7911yescharacteristic
1573C2#2377703711yescharacteristic
1574C2#2377705311yescharacteristic
1575C2#2377794711yescharacteristic
1576C2#2377795011yescharacteristic
1577C2#2377801711yescharacteristic
1578C2#2377802511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2705C2
prime radical#23769133C2
hypercenter#2705D79
hypocenterC79#36971
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2705

Complements

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

NH ≅ G/Ntype
1. C2×#19099156C2semidirect
2. C2×#126×D79C2semidirect
3. #23771735C2semidirect
4. #23771730C2semidirect
5. #23770365C2semidirect
6. #23770364C2semidirect
7. #23770359C2semidirect
8. #23770357C2semidirect
9. #23770345C2semidirect
10. #23770341C2semidirect
11. #23770338C2semidirect
12. #23770334C2semidirect
13. #23770080C2semidirect
14. #23770076C2semidirect
15. #23770069C2semidirect
16. #23770032C2semidirect
17. #23770028C2semidirect
18. #23770025C2semidirect
19. #23770021C2semidirect
20. #23769210C2semidirect
22. #23768288C2semidirect
23. #23768285C2semidirect
24. #23767713C2semidirect
25. #23767710C2semidirect
26. #23766806C2semidirect
27. #23766802C2semidirect
28. #23766782C2semidirect
29. #23766778C2semidirect
30. #23766015C2semidirect
31. C79×#2705C2semidirect
40. C2×#14579154C22semidirect
41. C2×#14579154C22semidirect
43. C2×#14579152C22semidirect
44. C2×#14579151C22semidirect
49. C2×#14579142C22semidirect
50. C2×#14579140C22semidirect
52. C2×#14579138C22semidirect
67. #19098504C22semidirect
68. #19098504C22semidirect
69. #19098503C22semidirect
70. #19098501C22semidirect
72. #19098499C22semidirect
73. #19098499C22semidirect
74. #19098499C22semidirect
76. #19098497C22semidirect
77. #19098496C22semidirect
78. #19098495C22semidirect
79. #19098493C22semidirect
88. #19098486C22semidirect
89. #19098486C22semidirect
90. #19098486C22semidirect
109. #19098467C22semidirect
110. #19098467C22semidirect
112. #19098466C22semidirect
115. #19098462C22semidirect
116. #19098462C22semidirect
117. #19098462C22semidirect
118. #19098462C22semidirect
119. #19098461C22semidirect
120. #19098461C22semidirect
121. #19098461C22semidirect
122. #19098460C22semidirect
123. #19098460C22semidirect
124. #19098460C22semidirect
125. #19098460C22semidirect
126. #19098459C22semidirect
127. #19098459C22semidirect
128. #19098458C22semidirect
129. #19098458C22semidirect
130. #19098458C22semidirect
131. #19098458C22semidirect
132. #19098458C22semidirect
133. #19098458C22semidirect
135. #19098457C22semidirect
136. #19098457C22semidirect
137. #19098457C22semidirect
140. #19098456C22semidirect
141. #19098456C22semidirect
142. #19098456C22semidirect
148. #19098451C22semidirect
149. #19098448C22semidirect
150. #19098447C22semidirect
151. #19098444C22semidirect
165. #19098423C22semidirect
168. #19098421C22semidirect
169. #19098421C22semidirect
175. C2×#123×C79C22semidirect
176. #399×C79C22semidirect
178. #396×C79C22semidirect
183. #390×C79C22semidirect
184. #389×C79C22semidirect
185. #388×C79C22semidirect
186. #387×C79C22semidirect
188. #380×C79C22semidirect
267. C4⋊C4×D79D4semidirect
805. #2705D79semidirect
821. C79#36971semidirect
841. C2×#123C2×D79semidirect
868. #399C2×D79semidirect
890. #396C2×D79semidirect
914. #390C2×D79semidirect
934. #389C2×D79semidirect
950. #388C2×D79semidirect
954. #387C2×D79semidirect
976. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991562
C2×#126×D792
#237717352
#237717302
#237703652
#237703642
#237703592
#237703572
#237703452
#237703412
#237703382
#237703342
#237700802
#237700762
#237700692
#237700322
#237700282
#237700252
#237700212
#237692102
#237691332
#237682882
#237682852
#237677132
#237677102
#237668062
#237668022
#237667822
#237667782
#237660152
C79×#27052
#3697179