Finite Group Databasebeta

← #34502142

Subgroups — #34502142

Order 20224.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099149C211yesmaximal, characteristic, complemented
2C2×#19099096C211yesmaximal, characteristic, complemented
3#23771730C211yesmaximal, characteristic, complemented
4#23771724C211yesmaximal, characteristic, complemented
5#23770358C211yesmaximal, characteristic, complemented
6#23770338C211yesmaximal, characteristic, complemented
7#23770149C211yesmaximal, characteristic, complemented
8#23770099C211yesmaximal, characteristic, complemented
9#23770047C211yesmaximal, characteristic, complemented
10#23770006C211yesmaximal, characteristic, complemented
11#23769960C211yesmaximal, characteristic, complemented
12#23769854C211yesmaximal, characteristic, complemented
13#23769792C211yesmaximal, characteristic, complemented
14#23769763C211yesmaximal, characteristic, complemented
15#23769731C211yesmaximal, characteristic, complemented
16#23769688C211yesmaximal, characteristic, complemented
17#23769686C211yesmaximal, characteristic, complemented
18#23769652C211yesmaximal, characteristic, complemented
19#23769627C211yesmaximal, characteristic, complemented
20#23769289C211yesmaximal, characteristic, complemented
21#23769246C211yesmaximal, characteristic, complemented
22#23769084C211yesmaximal, characteristic, complemented
23#23769036C211yesmaximal, characteristic, complemented
24#23768990C211yesmaximal, characteristic, complemented
25#23768984C211yesmaximal, characteristic, complemented
26#23768375C211yesmaximal, characteristic, complemented
27#23768285C211yesmaximal, characteristic, complemented
28#23767699C211yesmaximal, characteristic, complemented
29#23767675C211yesmaximal, characteristic, complemented
30#23766039C211yesmaximal, characteristic, complemented
31C79×#2705C211yesmaximal, characteristic, complemented
32#19099149—28no—
33C2×#14579160C2211yescharacteristic, complemented
34#19099096—28no—
35C2×#14579156C2211yescharacteristic
36C2×#14579155C2211yescharacteristic
37C2×#14579154C2211yescharacteristic
38C2×#14579151C2211yescharacteristic, complemented
39C2×#14579147C2211yescharacteristic
40C2×#14579147C2211yescharacteristic
41C2×#14579147C2211yescharacteristic
42C2×#14579147C2211yescharacteristic
43C2×#14579146C2211yescharacteristic
44C2×#14579146C2211yescharacteristic
45C2×#14579143C2211yescharacteristic
46C2×#14579143C2211yescharacteristic
47C2×#14579143C2211yescharacteristic, complemented
48C2×#14579143C2211yescharacteristic, complemented
49C2×#14579141C2211yescharacteristic
50C2×#14579139C2211yescharacteristic, complemented
51C2×#14579135C2211yescharacteristic
52C2×#14579134C2211yescharacteristic
53C2×#14579134C2211yescharacteristic
54C2×#14579132C2211yescharacteristic
55C2×#14579131C2211yescharacteristic
56C2×#14579129C2211yescharacteristic
57C2×#14579129C2211yescharacteristic
58C2×#14579126C2211yescharacteristic, complemented
59C2×#14579123C2211yescharacteristic
60C2×C4×C22⋊D79C2211yescharacteristic
61C2×(C22⋊D79)⋊C4C2211yescharacteristic
62C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
63C2×#14579119C2211yescharacteristic
64C2×#14579117C2211yescharacteristic, complemented
65C2×C22⋊C4×D79C2211yescharacteristic
66C2×C42×D79C2211yescharacteristic, complemented
67#19098505C2211yescharacteristic, complemented
68#19098503C2211yescharacteristic, complemented
69#19098499C2211yescharacteristic
70#19098499C2211yescharacteristic, complemented
71#19098498C2211yescharacteristic
72#19098496C2211yescharacteristic, complemented
73#19098493C2211yescharacteristic, complemented
74#19098492C2211yescharacteristic
75#19098492C2211yescharacteristic
76#19098492C2211yescharacteristic
77#19098490C2211yescharacteristic
78#19098489C2211yescharacteristic, complemented
79#19098488C2211yescharacteristic
80#19098486C2211yescharacteristic
81#19098486C2211yescharacteristic
82#19098486C2211yescharacteristic, complemented
83#19098486C2211yescharacteristic, complemented
84#19098485C2211yescharacteristic
85#19098485C2211yescharacteristic
86#19098485C2211yescharacteristic
87#19098485C2211yescharacteristic
88#19098484C2211yescharacteristic, complemented
89#19098483C2211yescharacteristic, complemented
90#19098481C2211yescharacteristic
91#19098479C2211yescharacteristic
92#19098479C2211yescharacteristic
93#19098479C2211yescharacteristic
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic, complemented
97#19098478C2211yescharacteristic
98#19098478C2211yescharacteristic
99#19098478C2211yescharacteristic
100#19098478C2211yescharacteristic, complemented
101#19098477C2211yescharacteristic
102#19098475C2211yescharacteristic
103#19098475C2211yescharacteristic, complemented
104#19098472C2211yescharacteristic
105#19098471C2211yescharacteristic
106#19098471C2211yescharacteristic
107#19098471C2211yescharacteristic
108#19098471C2211yescharacteristic, complemented
109#19098467C2211yescharacteristic, complemented
110#19098466C2211yescharacteristic
111#19098466C2211yescharacteristic
112#19098465C2211yescharacteristic
113#19098464C2211yescharacteristic
114#19098463C2211yescharacteristic
115#19098463C2211yescharacteristic
116#19098462C2211yescharacteristic, complemented
117#19098462C2211yescharacteristic, complemented
118#19098462C2211yescharacteristic, complemented
119#19098461C2211yescharacteristic, complemented
120#19098461C2211yescharacteristic, complemented
121#19098460C2211yescharacteristic, complemented
122#19098459C2211yescharacteristic, complemented
123#19098458C2211yescharacteristic, complemented
124#19098457C2211yescharacteristic
125#19098457C2211yescharacteristic
126#19098457C2211yescharacteristic
127#19098457C2211yescharacteristic, complemented
128#19098457C2211yescharacteristic, complemented
129#19098457C2211yescharacteristic, complemented
130#19098456C2211yescharacteristic
131#19098456C2211yescharacteristic, complemented
132#19098456C2211yescharacteristic, complemented
133#19098455C2211yescharacteristic
134#19098455C2211yescharacteristic
135#19098455C2211yescharacteristic, complemented
136#19098454C2211yescharacteristic
137#19098454C2211yescharacteristic
138#19098453C2211yescharacteristic
139#19098453C2211yescharacteristic
140#19098453C2211yescharacteristic
141#19098453C2211yescharacteristic, complemented
142#19098452C2211yescharacteristic
143#19098451C2211yescharacteristic
144#19098451C2211yescharacteristic, complemented
145#19098448C2211yescharacteristic, complemented
146#19098446C2211yescharacteristic, complemented
147#19098446C2211yescharacteristic, complemented
148#19098445C2211yescharacteristic, complemented
149#19098444C2211yescharacteristic, complemented
150#19098443C2211yescharacteristic
151#19098443C2211yescharacteristic, complemented
152#19098441C2211yescharacteristic
153#19098441C2211yescharacteristic
154#19098440C2211yescharacteristic
155#19098439C2211yescharacteristic
156#19098439C2211yescharacteristic, complemented
157#19098437C2211yescharacteristic, complemented
158#19098436C2211yescharacteristic, complemented
159#19098435C2211yescharacteristic, complemented
160#19098434C2211yescharacteristic
161#19098434C2211yescharacteristic
162#19098434C2211yescharacteristic, complemented
163#19098425C2211yescharacteristic
164#19098425C2211yescharacteristic
165#19098425C2211yescharacteristic, complemented
166#19098423C2211yescharacteristic, complemented
167#19098420C2211yescharacteristic
168#19098420C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic
170#19098418C2211yescharacteristic
171#19098418C2211yescharacteristic
172C4⋊C4×Dic79C2211yescharacteristic, complemented
173#19098409C2211yescharacteristic, complemented
174C2×#126×C79C2211yescharacteristic, complemented
175C2×#123×C79C2211yescharacteristic
176#399×C79C2211yescharacteristic
177#396×C79C2211yescharacteristic, complemented
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
186#387×C79C2211yescharacteristic, complemented
187#386×C79C2211yescharacteristic, complemented
188#380×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
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
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207#14579160—42no—
208#14579156—24no—
209#14579155—24no—
210#14579154—24no—
211#14579151—24no—
212#14579147—24no—
213#14579147—24no—
214#14579147—24no—
215#14579147—42no—
216#14579146—24no—
217#14579146—24no—
218#14579143—24no—
219#14579143—42no—
220#14579143—42no—
221#14579143—42no—
222#14579141—24no—
223#14579139—24no—
224#14579135—24no—
225#14579134—24no—
226#14579134—24no—
227#14579132—24no—
228#14579131—24no—
229#14579129—24no—
230#14579129—42no—
231#14579126—24no—
232#14579123D418yescomplemented
233C4×C22⋊D79—24no—
234(C22⋊D79)⋊C4—24no—
235(C22⋊D79)⋊C4—24no—
236#14579119—24no—
237#14579117—24no—
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
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—
306C2×C4×Dic79C2311yescharacteristic
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—41no—
381C23×D79—41no—
382C23×D79—41no—
383C23×D79—41no—
384C23×D79—41no—
385C23×D79—41no—
386C23×D79C2411yescharacteristic
387C23×D79C2411yescharacteristic
388C23×D79C2411yescharacteristic
389C2×Dic158—22no—
390C2×Dic158—22no—
391C2×Dic158—22no—
392C2×Dic158—41no—
393C2×Dic158—41no—
394C2×Dic158—41no—
395C2×D316—22no—
396C2×D316—41no—
397C2×D316—41no—
398C2×D316—41no—
399C2×D316—41no—
400C2×D316C2×D414yes—
401C2×C22⋊D79—22no—
402C2×C22⋊D79—22no—
403C2×C22⋊D79—22no—
404C2×C22⋊D79—22no—
405C2×C22⋊D79—22no—
406C2×C22⋊D79—22no—
407C2×C22⋊D79—22no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C2×C22⋊D79—41no—
414C2×C22⋊D79—41no—
415C2×C22⋊D79—41no—
416C2×C22⋊D79—41no—
417C2×C22⋊D79—41no—
418C2×C22⋊D79—41no—
419C2×C22⋊D79—41no—
420C2×C22⋊D79—41no—
421C2×C22⋊D79—41no—
422C22×Dic79—22no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C2×C4×D79—22no—
439C2×C4×D79—22no—
440C2×C4×D79—22no—
441C2×C4×D79—22no—
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×D79C2×D414yes—
452C2×C4×D79C2×D414yes—
453C4⋊Dic79—22no—
454C4⋊Dic79—22no—
455C4⋊Dic79—22no—
456C4⋊Dic79—22no—
457C4⋊Dic79—22no—
458C4⋊Dic79—41no—
459C4⋊Dic79—41no—
460C4⋊Dic79—41no—
461C4⋊Dic79—41no—
462C4⋊Dic79—41no—
463Dic79⋊C4—22no—
464Dic79⋊C4—22no—
465Dic79⋊C4—22no—
466Dic79⋊C4—22no—
467Dic79⋊C4—22no—
468Dic79⋊C4—22no—
469Dic79⋊C4—22no—
470Dic79⋊C4—22no—
471Dic79⋊C4—22no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477Dic79⋊C4—41no—
478C22⋊Dic79—22no—
479C22⋊Dic79—22no—
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—
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—41no—
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—
518(C2×D79)⋊C4C2×D414yes—
519(C2×D79)⋊C4C2×D414yes—
520C4×Dic79—22no—
521C4×Dic79—22no—
522C4×Dic79—22no—
523C4×Dic79—22no—
524C4×Dic79—22no—
525C4×Dic79—41no—
526C4×Dic79—41no—
527C4×Dic79—41no—
528C4×Dic79C2×D414yes—
529C24×C79C2411yescharacteristic
530C24×C79C2411yescharacteristic
531C24×C79C2411yescharacteristic
532C2×D4×C79—22no—
533C2×D4×C79—41no—
534C2×D4×C79—41no—
535C2×D4×C79—41no—
536C2×D4×C79—41no—
537C2×D4×C79—41no—
538C2×D4×C79—41no—
539C2×D4×C79—41no—
540C2×D4×C79—41no—
541C22×C4×C79—22no—
542C22×C4×C79—41no—
543C22×C4×C79—41no—
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C4⋊C4×C79—22no—
557C4⋊C4×C79—22no—
558C4⋊C4×C79—22no—
559C4⋊C4×C79—41no—
560C4⋊C4×C79—41no—
561C4⋊C4×C79—41no—
562C4⋊C4×C79—41no—
563C4⋊C4×C79—41no—
564C4⋊C4×C79C2×D414yes—
565C22⋊C4×C79—22no—
566C22⋊C4×C79—22no—
567C22⋊C4×C79—22no—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—22no—
570C22⋊C4×C79—22no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79—41no—
573C22⋊C4×C79—41no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C22⋊C4×C79—41no—
578C22⋊C4×C79—41no—
579C42×C79—22no—
580C42×C79—41no—
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×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79C2511yescharacteristic
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—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—44no—
623C22×D79—82no—
624C22×D79—82no—
625C22×D79—82no—
626C22×D79—82no—
627C22×D79—82no—
628C22×D79—82no—
629C22×D79C22×D412yes—
630C22×D79C22×D412yes—
631D4×C79—82no—
632D4×C79—82no—
633D4×C79—82no—
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—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—82no—
668C2×C4×C79C22×D412yes—
669C2×C4×C79C22×D412yes—
670C2×C4×C79C22×D412yes—
671C22⋊D79—44no—
672C22⋊D79—44no—
673C22⋊D79—44no—
674C22⋊D79—82no—
675C22⋊D79—82no—
676C22⋊D79—82no—
677C22⋊D79—82no—
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—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—44no—
715C2×Dic79C22×D412yes—
716C2×Dic79C22×D412yes—
717C2×Dic79H(5,𝔽2)12yes—
718D316—44no—
719D316—82no—
720C4×D79—44no—
721C4×D79—44no—
722C4×D79—44no—
723C4×D79—44no—
724C4×D79—82no—
725Dic158—44no—
726Dic158—82no—
727C22×C79—41no—
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×C79—41no—
747C22×C79—41no—
748C22×C79C23×D411yescharacteristic
749C22×C79C2×H(5,𝔽2)11yescharacteristic
750C22×C79#58511yescharacteristic
751C22×C79#58511yescharacteristic
752C22×C79#58511yescharacteristic
753C22×C79#58511yescharacteristic
754C22×C79#58511yescharacteristic
755C2×D79—22no—
756C2×D79—22no—
757C2×D79—22no—
758C2×D79—22no—
759C2×D79—22no—
760C2×D79—22no—
761C2×D79—41no—
762C2×D79—41no—
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—41no—
775C2×D79—41no—
776C2×D79—88no—
777C4×C79—22no—
778C4×C79—22no—
779C4×C79—22no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789Dic79—22no—
790Dic79—22no—
791Dic79—22no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802#36973—791nomaximal, Sylow
803C2×C79—81no—
804C2×C79—81no—
805C2×C79—81no—
806C2×C79#344911yescharacteristic
807C2×C79#348511yescharacteristic
808C2×C79#348811yescharacteristic
809C2×C79#355111yescharacteristic
810C2×C79#356211yescharacteristic
811C2×C79#356611yescharacteristic
812C2×C79#356811yescharacteristic
813D79—42no—
814D79—42no—
815D79—81no—
816C2×#538—791no—
817C2×#529—791no—
818#2854—791no—
819#2853—791no—
820#2727—791no—
821#2725—791no—
822#2710—791no—
823#2707—791no—
824#2705D7911yescharacteristic, complemented
825#2703—791no—
826#2701—791no—
827#2697—791no—
828#2689—791no—
829#2685—791no—
830#2682—791no—
831#2678—791no—
832#2674—791no—
833#2674—791no—
834#2672—791no—
835#2670—791no—
836#2635—791no—
837#2630—791no—
838#2610—791no—
839#2604—791no—
840#2601—791no—
841#2600—791no—
842#2545—791no—
843#2534—791no—
844#2485—791no—
845#2482—791no—
846#2319—791no—
847C79#3697311yescharacteristic, complemented, Sylow
848#538—1588no—
849C2×C4⋊Q8—791no—
850#529—1588no—
851C2×#126—791no—
852C2×#126—791no—
853C2×#126—791no—
854C2×#126C2×D7911yescharacteristic, complemented
855C2×#125—791no—
856C2×#124—791no—
857C2×#124—791no—
858C2×#124—791no—
859C2×#124—791no—
860C2×#123—791no—
861C2×#123—791no—
862C2×#123—791no—
863C2×#123—791no—
864C2×#123—791no—
865C2×#123—791no—
866C2×#123C2×D7911yescharacteristic
867C2×C22⋊Q8—791no—
868C2×C22⋊Q8—791no—
869C2×#121—791no—
870C2×#121—791no—
871C2×#121—791no—
872C2×#121—791no—
873C2×#120—791no—
874C2×#120—791no—
875C2×#120—791no—
876C2×C4×Q8—791no—
877C2×C4×D4—791no—
878C2×C4×D4—791no—
879C2×C4×D4—791no—
880C2×C4×D4—791no—
881C2×#117—791no—
882C2×#117—791no—
883C22×C22⋊C4—791no—
884C22×C42—791no—
885#400—791no—
886#400—791no—
887#399—791no—
888#399—791no—
889#399—791no—
890#399C2×D7911yescharacteristic
891#398—791no—
892#398—791no—
893#397—791no—
894#397—791no—
895#397—791no—
896#397—791no—
897#397—791no—
898#397—791no—
899#396—791no—
900#396—791no—
901#396—791no—
902#396—791no—
903#396—791no—
904#396—791no—
905#396—791no—
906#396—791no—
907#396C2×D7911yescharacteristic, complemented
908#396C2×D7911yescharacteristic, complemented
909#395—791no—
910#395—791no—
911#394—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#394—791no—
919#394—791no—
920#394—791no—
921#394—791no—
922#394—791no—
923#394C2×D7911yescharacteristic
924#394C2×D7911yescharacteristic
925#393—791no—
926#393—791no—
927#392—791no—
928#392—791no—
929#392—791no—
930#392—791no—
931#392—791no—
932#392C2×D7911yescharacteristic
933#391—791no—
934#390—791no—
935#390—791no—
936#390—791no—
937#390—791no—
938#390—791no—
939#390—791no—
940#390C2×D7911yescharacteristic
941#390C2×D7911yescharacteristic, complemented
942#389—791no—
943#389—791no—
944#389—791no—
945#389—791no—
946#389—791no—
947#389—791no—
948#389—791no—
949#389—791no—
950#389C2×D7911yescharacteristic, complemented
951#388—791no—
952#388—791no—
953#388—791no—
954#388—791no—
955#388—791no—
956#388—791no—
957#388—791no—
958#388—791no—
959#388—791no—
960#388—791no—
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#388—791no—
972#388C2×D7911yescharacteristic
973#387—791no—
974#387—791no—
975#387—791no—
976#387—791no—
977#387—791no—
978#387C2×D7911yescharacteristic, complemented
979#386—791no—
980#386—791no—
981#386—791no—
982#386—791no—
983#386—791no—
984#386—791no—
985#386—791no—
986#386C2×D7911yescharacteristic, complemented
987#385—791no—
988#385—791no—
989#385—791no—
990#385—791no—
991#385—791no—
992#385—791no—
993#381—791no—
994#381—791no—
995#381—791no—
996#380—791no—
997#380—791no—
998#380—791no—
999#380C2×D7911yescharacteristic, complemented
1000#379—791no—
1001#379—791no—
1002#379—791no—
1003C4×C4⋊C4—791no—
1004#376—791no—
1005C25—791no—
1006C22×Q8—791no—
1007C22×Q8—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×D4—791no—
1017C22×D4C22×D7911yescharacteristic
1018C22×D4C22×D7911yescharacteristic
1019C22×D4C22×D7911yescharacteristic
1020C23×C4—791no—
1021C23×C4—791no—
1022C23×C4—791no—
1023C23×C4—791no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4C22×D7911yescharacteristic
1027C4⋊Q8—3162no—
1028#126—24no—
1029#126—1584no—
1030#126—1584no—
1031#126—1584no—
1032#125—1584no—
1033#124—3162no—
1034#124—1584no—
1035#124—1584no—
1036#124—1584no—
1037#123—24no—
1038#123—3162no—
1039#123—3162no—
1040#123—3162no—
1041#123—1584no—
1042#123—1584no—
1043#123—1584no—
1044C22⋊Q8—1584no—
1045C22⋊Q8—1584no—
1046#121—1584no—
1047#121—1584no—
1048#121—1584no—
1049#121—1584no—
1050#120—3162no—
1051#120—1584no—
1052#120—1584no—
1053C4×Q8—1584no—
1054C4×D4—798no—
1055C4×D4—1584no—
1056C4×D4—1584no—
1057C4×D4—1584no—
1058#117—1584no—
1059#117—1584no—
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⋊C4—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4—791no—
1081C2×C4⋊C4—791no—
1082C2×C4⋊C4—791no—
1083C2×C4⋊C4—791no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4C22×D7911yescharacteristic
1086C2×C4⋊C4C22×D7911yescharacteristic
1087C2×C4⋊C4C22×D7911yescharacteristic
1088C2×C4⋊C4C22×D7911yescharacteristic
1089C2×C4⋊C4C22×D7911yescharacteristic
1090C2×C4⋊C4C22×D7911yescharacteristic
1091C2×C4⋊C4C22×D7911yescharacteristic
1092C2×C4⋊C4C22×D7911yescharacteristic
1093C2×C4⋊C4C22×D7911yescharacteristic
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—791no—
1120C2×C22⋊C4—791no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—1584no—
1137C2×C22⋊C4C22×D7911yescharacteristic
1138C2×C22⋊C4C22×D7911yescharacteristic
1139C2×C22⋊C4C22×D7911yescharacteristic
1140C2×C22⋊C4C22×D7911yescharacteristic
1141C2×C22⋊C4C22×D7911yescharacteristic
1142C2×C22⋊C4C22×D7911yescharacteristic
1143C2×C22⋊C4C22×D7911yescharacteristic
1144C2×C22⋊C4C22×D7911yescharacteristic
1145C2×C22⋊C4C22×D7911yescharacteristic
1146C2×C22⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4C22×D7911yescharacteristic
1148C2×C22⋊C4C22×D7911yescharacteristic
1149C2×C22⋊C4C22×D7911yescharacteristic
1150C2×C22⋊C4C22×D7911yescharacteristic
1151C2×C42—791no—
1152C2×C42—791no—
1153C2×C42—791no—
1154C2×C42—791no—
1155C2×C42—791no—
1156C2×C42—791no—
1157C2×C42—791no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—1584no—
1161C2×C42C22×D7911yescharacteristic
1162C2×C42C22×D7911yescharacteristic
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#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95—791no—
1180#95—791no—
1181#95—791no—
1182#95—791no—
1183#95—791no—
1184#95—791no—
1185#95—791no—
1186#95—791no—
1187#95—791no—
1188#95—791no—
1189#95C22×D7911yescharacteristic
1190#95C22×D7911yescharacteristic
1191#95C22×D7911yescharacteristic
1192#95C22×D7911yescharacteristic
1193#95C22×D7911yescharacteristic
1194#95C22×D7911yescharacteristic
1195C24—3161no—
1196C24—3161no—
1197C24—3161no—
1198C24—3161no—
1199C24—3161no—
1200C24—3161no—
1201C24—791no—
1202C24—791no—
1203C24—791no—
1204C24—1582no—
1205C24C23×D7911yescharacteristic
1206C24C23×D7911yescharacteristic
1207C24C23×D7911yescharacteristic
1208C2×Q8—3161no—
1209C2×Q8—3161no—
1210C2×Q8—3161no—
1211C2×Q8—1582no—
1212C2×Q8—1582no—
1213C2×Q8—1582no—
1214C2×D4—22no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—3161no—
1224C2×D4—3161no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—3161no—
1228C2×D4—3161no—
1229C2×D4—3161no—
1230C2×D4—3161no—
1231C2×D4—3161no—
1232C2×D4—3161no—
1233C2×D4—3161no—
1234C2×D4—3161no—
1235C2×D4—3161no—
1236C2×D4—3161no—
1237C2×D4—3161no—
1238C2×D4—3161no—
1239C2×D4—3161no—
1240C2×D4—3161no—
1241C2×D4—794no—
1242C2×D4—1582no—
1243C2×D4—1582no—
1244C2×D4—1582no—
1245C2×D4—1582no—
1246C2×D4—1582no—
1247C2×D4—1582no—
1248C2×D4—1582no—
1249C2×D4—1582no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—3161no—
1254C22×C4—3161no—
1255C22×C4—3161no—
1256C22×C4—3161no—
1257C22×C4—3161no—
1258C22×C4—3161no—
1259C22×C4—3161no—
1260C22×C4—3161no—
1261C22×C4—3161no—
1262C22×C4—3161no—
1263C22×C4—3161no—
1264C22×C4—794no—
1265C22×C4—794no—
1266C22×C4—791no—
1267C22×C4—791no—
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×C4C23×D7911yescharacteristic
1285C22×C4C23×D7911yescharacteristic
1286C22×C4C23×D7911yescharacteristic
1287C22×C4C23×D7911yescharacteristic
1288C22×C4C23×D7911yescharacteristic
1289C22×C4C23×D7911yescharacteristic
1290C22×C4C23×D7911yescharacteristic
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—3161no—
1305C4⋊C4—3161no—
1306C4⋊C4—3161no—
1307C4⋊C4—3161no—
1308C4⋊C4—3161no—
1309C4⋊C4—3161no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—1582no—
1316C4⋊C4—1582no—
1317C4⋊C4—1582no—
1318C4⋊C4—1582no—
1319C4⋊C4—1582no—
1320C4⋊C4—1582no—
1321C4⋊C4—1582no—
1322C4⋊C4—1582no—
1323C4⋊C4—1582no—
1324C4⋊C4—1582no—
1325C4⋊C4—1582no—
1326C4⋊C4—1582no—
1327C4⋊C4—1582no—
1328C4⋊C4—1582no—
1329C4⋊C4D4×D7914yes—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
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—3161no—
1345C22⋊C4—3161no—
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—794no—
1368C22⋊C4—794no—
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—
1382C22⋊C4—1582no—
1383C22⋊C4—1582no—
1384C22⋊C4—1582no—
1385C22⋊C4—1582no—
1386C42—22no—
1387C42—41no—
1388C42—3161no—
1389C42—3161no—
1390C42—3161no—
1391C42—794no—
1392C42—1582no—
1393C42—1582no—
1394C42—1582no—
1395C42—1582no—
1396C42—1582no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—3164no—
1419C23—792no—
1420C23—792no—
1421C23—6322no—
1422C23—6322no—
1423C23—6322no—
1424C23—6322no—
1425C23—6322no—
1426C23—6322no—
1427C23—1581no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23—1581no—
1435C23—1581no—
1436C23—1581no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1581no—
1443C23—1581no—
1444C23—1581no—
1445C23—1581no—
1446C23C24×D7911yescharacteristic
1447Q8—3164no—
1448Q8—6322no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—3164no—
1453D4—3164no—
1454D4—3164no—
1455D4—3164no—
1456D4—6322no—
1457D4—6322no—
1458D4—6322no—
1459D4—6322no—
1460D4—6322no—
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—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—82no—
1495C2×C4—3164no—
1496C2×C4—3164no—
1497C2×C4—3164no—
1498C2×C4—3164no—
1499C2×C4—3164no—
1500C2×C4—792no—
1501C2×C4—792no—
1502C2×C4—792no—
1503C2×C4—6322no—
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—1581no—
1539C2×C4—1581no—
1540C2×C4C2×D4×D7912yes—
1541C2×C4C2×D4×D7912yes—
1542C2×C4C2×D4×D7912yes—
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—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—3161no—
1565C22—3161no—
1566C22—3161no—
1567C22—3161no—
1568C22—3161no—
1569C22—3161no—
1570C22—3161no—
1571C22—3161no—
1572C22—3161no—
1573C22—3161no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—3161no—
1578C22—3161no—
1579C22—6328no—
1580C22—1582no—
1581C22—1582no—
1582C22—1582no—
1583C22—1582no—
1584C22—1582no—
1585C22—1582no—
1586C22C22×D4×D7911yescharacteristic
1587C22H(5,𝔽2)×D7911yescharacteristic
1588C22#1909939811yescharacteristic
1589C22#1909939811yescharacteristic
1590C22#1909939911yescharacteristic
1591C22#1909939911yescharacteristic
1592C22#1909940011yescharacteristic
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—3161no—
1606C4—3161no—
1607C4—3161no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—1582no—
1616C4—1582no—
1617C4—1582no—
1618C2—81no—
1619C2—81no—
1620C2—81no—
1621C2—3162no—
1622C2—3162no—
1623C2—6321no—
1624C2#2377672811yescharacteristic
1625C2#2377703711yescharacteristic
1626C2#2377706811yescharacteristic
1627C2#2377781911yescharacteristic
1628C2#2377798311yescharacteristic
1629C2#2377807511yescharacteristic
1630C2#2377809111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2705C2
hypercenter#2705D79
hypocenterC79#36973
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2705

Complements

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

NH ≅ G/Ntype
1. C2×#19099149C2semidirect
2. C2×#19099096C2semidirect
3. #23771730C2semidirect
4. #23771724C2semidirect
5. #23770358C2semidirect
6. #23770338C2semidirect
7. #23770149C2semidirect
8. #23770099C2semidirect
9. #23770047C2semidirect
10. #23770006C2semidirect
11. #23769960C2semidirect
12. #23769854C2semidirect
13. #23769792C2semidirect
14. #23769763C2semidirect
15. #23769731C2semidirect
16. #23769688C2semidirect
17. #23769686C2semidirect
18. #23769652C2semidirect
19. #23769627C2semidirect
20. #23769289C2semidirect
21. #23769246C2semidirect
22. #23769084C2semidirect
23. #23769036C2semidirect
24. #23768990C2semidirect
25. #23768984C2semidirect
26. #23768375C2semidirect
27. #23768285C2semidirect
28. #23767699C2semidirect
29. #23767675C2semidirect
30. #23766039C2semidirect
31. C79×#2705C2semidirect
33. C2×#14579160C22semidirect
38. C2×#14579151C22semidirect
47. C2×#14579143C22semidirect
48. C2×#14579143C22semidirect
50. C2×#14579139C22semidirect
58. C2×#14579126C22semidirect
62. C2×(C22⋊D79)⋊C4C22semidirect
64. C2×#14579117C22semidirect
66. C2×C42×D79C22semidirect
67. #19098505C22semidirect
68. #19098503C22semidirect
70. #19098499C22semidirect
72. #19098496C22semidirect
73. #19098493C22semidirect
78. #19098489C22semidirect
82. #19098486C22semidirect
83. #19098486C22semidirect
88. #19098484C22semidirect
89. #19098483C22semidirect
96. #19098479C22semidirect
100. #19098478C22semidirect
103. #19098475C22semidirect
108. #19098471C22semidirect
109. #19098467C22semidirect
116. #19098462C22semidirect
117. #19098462C22semidirect
118. #19098462C22semidirect
119. #19098461C22semidirect
120. #19098461C22semidirect
121. #19098460C22semidirect
122. #19098459C22semidirect
123. #19098458C22semidirect
127. #19098457C22semidirect
128. #19098457C22semidirect
129. #19098457C22semidirect
131. #19098456C22semidirect
132. #19098456C22semidirect
135. #19098455C22semidirect
141. #19098453C22semidirect
144. #19098451C22semidirect
145. #19098448C22semidirect
146. #19098446C22semidirect
147. #19098446C22semidirect
148. #19098445C22semidirect
149. #19098444C22semidirect
151. #19098443C22semidirect
156. #19098439C22semidirect
157. #19098437C22semidirect
158. #19098436C22semidirect
159. #19098435C22semidirect
162. #19098434C22semidirect
165. #19098425C22semidirect
166. #19098423C22semidirect
168. #19098420C22semidirect
172. C4⋊C4×Dic79C22semidirect
173. #19098409C22semidirect
174. C2×#126×C79C22semidirect
177. #396×C79C22semidirect
178. #396×C79C22semidirect
183. #390×C79C22semidirect
184. #389×C79C22semidirect
186. #387×C79C22semidirect
187. #386×C79C22semidirect
188. #380×C79C22semidirect
232. #14579123D4semidirect
824. #2705D79semidirect
847. C79#36973semidirect
854. C2×#126C2×D79semidirect
907. #396C2×D79semidirect
908. #396C2×D79semidirect
941. #390C2×D79semidirect
950. #389C2×D79semidirect
978. #387C2×D79semidirect
986. #386C2×D79semidirect
999. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991492
C2×#190990962
#237717302
#237717242
#237703582
#237703382
#237701492
#237700992
#237700472
#237700062
#237699602
#237698542
#237697922
#237697632
#237697312
#237696882
#237696862
#237696522
#237696272
#237692892
#237692462
#237690842
#237690362
#237689902
#237689842
#237683752
#237682852
#237676992
#237676752
#237660392
C79×#27052
#3697379