Finite Group Databasebeta

← #34495682

Subgroups — #34495682

Order 20224.

2262 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099189C211yesmaximal, characteristic, complemented
2C2×#19099148C211yesmaximal, characteristic
3#23771750C211yesmaximal, characteristic, complemented
4#23771697C211yesmaximal, characteristic, complemented
5#23770002C211yesmaximal, characteristic, complemented
6#23770000C211yesmaximal, characteristic, complemented
7#23769978C211yesmaximal, characteristic, complemented
8#23769976C211yesmaximal, characteristic, complemented
9#23769857C211yesmaximal, characteristic, complemented
10#23769851C211yesmaximal, characteristic, complemented
11#23769827C211yesmaximal, characteristic, complemented
12#23769821C211yesmaximal, characteristic, complemented
13#23769756C211yesmaximal, characteristic, complemented
14#23769754C211yesmaximal, characteristic, complemented
15#23769743C211yesmaximal, characteristic, complemented
16#23769742C211yesmaximal, characteristic, complemented
17#23769687C211yesmaximal, characteristic, complemented
18#23769681C211yesmaximal, characteristic, complemented
19#23769657C211yesmaximal, characteristic, complemented
20#23769651C211yesmaximal, characteristic, complemented
21#23769517C211yesmaximal, characteristic, complemented
22#23769330C211yesmaximal, characteristic, complemented
23#23768584C211yesmaximal, characteristic, complemented
24#23768578C211yesmaximal, characteristic, complemented
25#23766850C211yesmaximal, characteristic, complemented
26#23766848C211yesmaximal, characteristic, complemented
27#23766797C211yesmaximal, characteristic, complemented
28#23766796C211yesmaximal, characteristic, complemented
29#23766790C211yesmaximal, characteristic, complemented
30C2×#19098451C211yesmaximal, characteristic, complemented
31C79×#2412C211yesmaximal, characteristic, complemented
32#19099189—28no—
33#19099148—28no—
34C2×#14579160C2211yescharacteristic, complemented
35C2×#14579154C2211yescharacteristic
36C2×#14579154C2211yescharacteristic
37C2×#14579148C2211yescharacteristic
38C2×#14579147C2211yescharacteristic
39C2×#14579147C2211yescharacteristic, complemented
40C2×#14579145C2211yescharacteristic
41C2×#14579144C2211yescharacteristic
42C2×#14579143C2211yescharacteristic
43C2×#14579142C2211yescharacteristic
44C2×#14579142C2211yescharacteristic
45C2×#14579140C2211yescharacteristic
46C2×#14579140C2211yescharacteristic
47C2×#14579140C2211yescharacteristic
48C2×#14579140C2211yescharacteristic
49C2×#14579139C2211yescharacteristic, complemented
50C2×#14579138C2211yescharacteristic
51C2×#14579138C2211yescharacteristic
52C2×#14579138C2211yescharacteristic
53C2×#14579138C2211yescharacteristic
54C2×#14579138C2211yescharacteristic
55C2×#14579138C2211yescharacteristic
56C2×#14579138C2211yescharacteristic
57C2×#14579138C2211yescharacteristic
58C2×#14579138C2211yescharacteristic
59C2×#14579138C2211yescharacteristic, complemented
60C2×#14579133C2211yescharacteristic
61C2×#14579133C2211yescharacteristic
62C2×#14579132C2211yescharacteristic
63C2×#14579130C2211yescharacteristic
64C2×D4×Dic79C2211yescharacteristic
65C2×(C22⋊D79)⋊C4C2211yescharacteristic
66C22×Dic79⋊C4C2211yescharacteristic
67C22×C22⋊Dic79C2211yescharacteristic
68C22×C22⋊Dic79C2211yescharacteristic
69C22×C22⋊Dic79C2211yescharacteristic
70C22×C4×Dic79C2211yescharacteristic
71#19098505C2211yescharacteristic, complemented
72#19098505C2211yescharacteristic, complemented
73#19098504C2211yescharacteristic, complemented
74#19098504C2211yescharacteristic, complemented
75#19098499C2211yescharacteristic, complemented
76#19098498C2211yescharacteristic, complemented
77#19098497C2211yescharacteristic, complemented
78#19098497C2211yescharacteristic, complemented
79#19098497C2211yescharacteristic, complemented
80#19098497C2211yescharacteristic, complemented
81#19098496C2211yescharacteristic, complemented
82#19098496C2211yescharacteristic, complemented
83#19098495C2211yescharacteristic, complemented
84#19098494C2211yescharacteristic, complemented
85#19098492C2211yescharacteristic, complemented
86#19098491C2211yescharacteristic
87#19098491C2211yescharacteristic
88#19098491C2211yescharacteristic
89#19098491C2211yescharacteristic
90#19098491C2211yescharacteristic, complemented
91#19098488C2211yescharacteristic
92#19098488C2211yescharacteristic
93#19098487C2211yescharacteristic, complemented
94#19098486C2211yescharacteristic, complemented
95#19098486C2211yescharacteristic, complemented
96#19098485C2211yescharacteristic, complemented
97#19098484C2211yescharacteristic, complemented
98#19098484C2211yescharacteristic, complemented
99#19098484C2211yescharacteristic, complemented
100#19098483C2211yescharacteristic, complemented
101#19098483C2211yescharacteristic, complemented
102#19098483C2211yescharacteristic, complemented
103#19098479C2211yescharacteristic
104#19098479C2211yescharacteristic
105#19098479C2211yescharacteristic, complemented
106#19098478C2211yescharacteristic
107#19098478C2211yescharacteristic
108#19098478C2211yescharacteristic, complemented
109#19098477C2211yescharacteristic
110#19098477C2211yescharacteristic
111#19098476C2211yescharacteristic, complemented
112#19098476C2211yescharacteristic, complemented
113#19098475C2211yescharacteristic, complemented
114#19098475C2211yescharacteristic, complemented
115#19098467C2211yescharacteristic, complemented
116#19098467C2211yescharacteristic, complemented
117#19098467C2211yescharacteristic, complemented
118#19098467C2211yescharacteristic, complemented
119#19098467C2211yescharacteristic, complemented
120#19098463C2211yescharacteristic, complemented
121#19098462C2211yescharacteristic, complemented
122#19098460C2211yescharacteristic, complemented
123#19098460C2211yescharacteristic, complemented
124#19098460C2211yescharacteristic, complemented
125#19098459C2211yescharacteristic, complemented
126#19098458C2211yescharacteristic, complemented
127#19098456C2211yescharacteristic, complemented
128#19098455C2211yescharacteristic, complemented
129#19098452C2211yescharacteristic, complemented
130#19098451C2211yescharacteristic
131#19098451C2211yescharacteristic
132#19098451C2211yescharacteristic
133#19098451C2211yescharacteristic
134#19098451C2211yescharacteristic
135#19098451C2211yescharacteristic
136#19098451C2211yescharacteristic
137#19098451C2211yescharacteristic
138#19098451C2211yescharacteristic, complemented
139#19098450C2211yescharacteristic, complemented
140#19098449C2211yescharacteristic, complemented
141#19098446C2211yescharacteristic, complemented
142#19098445C2211yescharacteristic, complemented
143#19098443C2211yescharacteristic
144#19098443C2211yescharacteristic
145#19098443C2211yescharacteristic
146#19098442C2211yescharacteristic
147#19098442C2211yescharacteristic
148#19098442C2211yescharacteristic
149#19098440C2211yescharacteristic
150#19098440C2211yescharacteristic
151#19098440C2211yescharacteristic
152#19098438C2211yescharacteristic
153#19098438C2211yescharacteristic, complemented
154#19098437C2211yescharacteristic, complemented
155#19098436C2211yescharacteristic
156#19098435C2211yescharacteristic
157#19098435C2211yescharacteristic, complemented
158#19098434C2211yescharacteristic, complemented
159#19098432C2211yescharacteristic, complemented
160#19098427C2211yescharacteristic, complemented
161#19098426C2211yescharacteristic
162#19098424C2211yescharacteristic
163#19098424C2211yescharacteristic
164#19098423C2211yescharacteristic
165#19098423C2211yescharacteristic
166#19098422C2211yescharacteristic, complemented
167#19098421C2211yescharacteristic
168#19098421C2211yescharacteristic
169#19098421C2211yescharacteristic
170#19098421C2211yescharacteristic
171#19098421C2211yescharacteristic, complemented
172C2×C79⋊#95C2211yescharacteristic
173C2×C79⋊#95C2211yescharacteristic
174C2×#123×C79C2211yescharacteristic
175C2×#120×C79C2211yescharacteristic
176C22×C22⋊C4×C79C2211yescharacteristic
177C22×C22⋊C4×C79C2211yescharacteristic
178#397×C79C2211yescharacteristic
179#397×C79C2211yescharacteristic
180#394×C79C2211yescharacteristic
181#394×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic
185#385×C79C2211yescharacteristic
186#381×C79C2211yescharacteristic
187#380×C79C2211yescharacteristic
188#380×C79C2211yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×Dic158C2311yescharacteristic
193C22×Dic158C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206#14579160—42no—
207#14579154—24no—
208#14579154—24no—
209#14579148—24no—
210#14579147—24no—
211#14579147—42no—
212#14579145—42no—
213#14579144—42no—
214#14579143—24no—
215#14579142—24no—
216#14579142—42no—
217#14579140—24no—
218#14579140—24no—
219#14579140—24no—
220#14579140—24no—
221#14579139—42no—
222#14579138—24no—
223#14579138—24no—
224#14579138—24no—
225#14579138—24no—
226#14579138—24no—
227#14579138—24no—
228#14579138—24no—
229#14579138—24no—
230#14579138—24no—
231#14579138—42no—
232#14579133—24no—
233#14579133—24no—
234#14579132—24no—
235#14579130—24no—
236D4×Dic79—24no—
237(C22⋊D79)⋊C4—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⋊C4—42no—
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
265C2×Dic79⋊C4C2311yescharacteristic
266C2×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C2×Dic79⋊C4C2311yescharacteristic
269C2×Dic79⋊C4C2311yescharacteristic
270C2×Dic79⋊C4C2311yescharacteristic
271C2×Dic79⋊C4C2311yescharacteristic
272C2×Dic79⋊C4C2311yescharacteristic
273C2×C22⋊Dic79—24no—
274C2×C22⋊Dic79—42no—
275C2×C22⋊Dic79D418yes—
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×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2311yescharacteristic
289C2×C22⋊Dic79C2311yescharacteristic
290C2×C22⋊Dic79C2311yescharacteristic
291C2×C22⋊Dic79C2311yescharacteristic
292C2×C22⋊Dic79C2311yescharacteristic
293C2×C22⋊Dic79C2311yescharacteristic
294C2×C22⋊Dic79C2311yescharacteristic
295C2×C22⋊Dic79C2311yescharacteristic
296C2×C22⋊Dic79C2311yescharacteristic
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
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×C4×Dic79—42no—
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C25×C79C2311yescharacteristic
347C22×D4×C79C2311yescharacteristic
348C22×D4×C79C2311yescharacteristic
349C22×D4×C79C2311yescharacteristic
350C23×C4×C79C2311yescharacteristic
351C23×C4×C79C2311yescharacteristic
352C23×C4×C79C2311yescharacteristic
353C23×C4×C79C2311yescharacteristic
354#123×C79—42no—
355#120×C79—24no—
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79—24no—
361C2×C22⋊C4×C79—42no—
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×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379#95×C79C2311yescharacteristic
380#95×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385C23×D79C2411yescharacteristic
386C2×Dic158—22no—
387C2×Dic158—22no—
388C2×Dic158—22no—
389C2×Dic158—22no—
390C2×Dic158—22no—
391C2×Dic158—41no—
392C2×Dic158—41no—
393C2×Dic158—41no—
394C2×Dic158—41no—
395C2×Dic158—41no—
396C2×Dic158—41no—
397C2×Dic158—41no—
398C2×Dic158—41no—
399C2×Dic158—41no—
400C2×Dic158—41no—
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—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C22×Dic79—22no—
414C22×Dic79—22no—
415C22×Dic79—22no—
416C22×Dic79—22no—
417C22×Dic79—22no—
418C22×Dic79—22no—
419C22×Dic79—41no—
420C22×Dic79—41no—
421C22×Dic79—41no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79—41no—
425C22×Dic79—41no—
426C22×Dic79—41no—
427C22×Dic79—41no—
428C22×Dic79—41no—
429C22×Dic79—41no—
430C22×Dic79—41no—
431C22×Dic79—41no—
432C22×Dic79C2×D414yes—
433C22×Dic79C2×D414yes—
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C22×Dic79C2411yescharacteristic
449C2×C4×D79—22no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C4⋊Dic79—22no—
453C4⋊Dic79—22no—
454C4⋊Dic79—22no—
455C4⋊Dic79—22no—
456C4⋊Dic79—22no—
457C4⋊Dic79—22no—
458C4⋊Dic79—22no—
459C4⋊Dic79—41no—
460C4⋊Dic79—41no—
461C4⋊Dic79—41no—
462Dic79⋊C4—22no—
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—22no—
473Dic79⋊C4—22no—
474Dic79⋊C4—22no—
475Dic79⋊C4—22no—
476Dic79⋊C4—22no—
477Dic79⋊C4—22no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481Dic79⋊C4—41no—
482Dic79⋊C4—41no—
483Dic79⋊C4—41no—
484Dic79⋊C4—41no—
485Dic79⋊C4—41no—
486C22⋊Dic79—22no—
487C22⋊Dic79—22no—
488C22⋊Dic79—22no—
489C22⋊Dic79—22no—
490C22⋊Dic79—22no—
491C22⋊Dic79—22no—
492C22⋊Dic79—22no—
493C22⋊Dic79—22no—
494C22⋊Dic79—22no—
495C22⋊Dic79—22no—
496C22⋊Dic79—22no—
497C22⋊Dic79—22no—
498C22⋊Dic79—41no—
499C22⋊Dic79—41no—
500C22⋊Dic79—41no—
501C22⋊Dic79—41no—
502C22⋊Dic79—41no—
503C22⋊Dic79C2×D414yes—
504C22⋊Dic79C2×D414yes—
505C22⋊Dic79C2×D414yes—
506C22⋊Dic79C2×D414yes—
507(C2×D79)⋊C4—22no—
508(C2×D79)⋊C4—22no—
509(C2×D79)⋊C4—22no—
510(C2×D79)⋊C4—22no—
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—
517C4×Dic79—22no—
518C4×Dic79—22no—
519C4×Dic79—22no—
520C4×Dic79—22no—
521C4×Dic79—41no—
522C4×Dic79—41no—
523C24×C79—22no—
524C24×C79—22no—
525C24×C79—41no—
526C24×C79—41no—
527C24×C79—41no—
528C24×C79—41no—
529C24×C79C2×D414yes—
530C24×C79C2411yescharacteristic
531C24×C79C2411yescharacteristic
532C24×C79C2411yescharacteristic
533C24×C79C2411yescharacteristic
534C2×D4×C79—22no—
535C2×D4×C79—22no—
536C2×D4×C79—22no—
537C2×D4×C79—22no—
538C2×D4×C79—22no—
539C2×D4×C79—41no—
540C2×D4×C79—41no—
541C2×D4×C79—41no—
542C2×D4×C79—41no—
543C22×C4×C79—22no—
544C22×C4×C79—22no—
545C22×C4×C79—22no—
546C22×C4×C79—22no—
547C22×C4×C79—22no—
548C22×C4×C79—41no—
549C22×C4×C79—41no—
550C22×C4×C79—41no—
551C22×C4×C79—41no—
552C22×C4×C79—41no—
553C22×C4×C79—41no—
554C22×C4×C79—41no—
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C22×C4×C79C2411yescharacteristic
562C22×C4×C79C2411yescharacteristic
563C22×C4×C79C2411yescharacteristic
564C22×C4×C79C2411yescharacteristic
565C22×C4×C79C2411yescharacteristic
566C4⋊C4×C79—22no—
567C4⋊C4×C79—41no—
568C4⋊C4×C79—41no—
569C4⋊C4×C79—41no—
570C22⋊C4×C79—22no—
571C22⋊C4×C79—22no—
572C22⋊C4×C79—22no—
573C22⋊C4×C79—22no—
574C22⋊C4×C79—22no—
575C22⋊C4×C79—22no—
576C22⋊C4×C79—22no—
577C22⋊C4×C79—22no—
578C22⋊C4×C79—22no—
579C22⋊C4×C79—22no—
580C22⋊C4×C79—41no—
581C22⋊C4×C79—41no—
582C22⋊C4×C79—41no—
583C22⋊C4×C79—41no—
584C22⋊C4×C79—41no—
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—28no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—44no—
610C23×C79—44no—
611C23×C79—82no—
612C23×C79—82no—
613C23×C79—82no—
614C23×C79—82no—
615C23×C79C22×D412yes—
616C23×C79C22×D412yes—
617C23×C79C22×D412yes—
618C23×C792−1+412yes—
619C23×C792−1+412yes—
620C23×C79C2511yescharacteristic
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628D4×C79—44no—
629D4×C79—82no—
630D4×C79—82no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—44no—
664C2×C4×C79—82no—
665C2×C4×C79—82no—
666C2×C4×C79—82no—
667C2×C4×C79H(5,𝔽2)12yes—
668C22⋊D79—44no—
669C22⋊D79—82no—
670C22⋊D79—82no—
671C22⋊D79—82no—
672C2×Dic79—21no—
673C2×Dic79—21no—
674C2×Dic79—21no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—44no—
713C2×Dic79—44no—
714C2×Dic79—44no—
715C2×Dic79—82no—
716C2×Dic79—82no—
717C2×Dic79—82no—
718C2×Dic79—82no—
719C2×Dic79C22×D412yes—
720C2×Dic79C22×D412yes—
721C2×Dic79C22×D412yes—
722C2×Dic79C22×D412yes—
723C2×Dic79H(5,𝔽2)12yes—
724C4×D79—82no—
725Dic158—82no—
726Dic158—82no—
727Dic158—82no—
728Dic158—82no—
729Dic158—82no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—22no—
736C22×C79—22no—
737C22×C79—22no—
738C22×C79—22no—
739C22×C79—22no—
740C22×C79—22no—
741C22×C79—22no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79—41no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79—41no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—88no—
758C22×C79#53614yes—
759C22×C79C23×D411yescharacteristic
760C22×C79C2×H(5,𝔽2)11yescharacteristic
761C22×C79C2×H(5,𝔽2)11yescharacteristic
762C22×C79C2×2−1+411yescharacteristic
763C22×C79C2×2−1+411yescharacteristic
764C22×C79#58511yescharacteristic
765C22×C79#58511yescharacteristic
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C4×C79—22no—
774C4×C79—41no—
775C4×C79—41no—
776C4×C79—41no—
777C4×C79—41no—
778C4×C79—41no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784Dic79—22no—
785Dic79—22no—
786Dic79—22no—
787Dic79—22no—
788Dic79—22no—
789Dic79—41no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799#36740—791nomaximal, Sylow
800C2×C79—24no—
801C2×C79—42no—
802C2×C79—42no—
803C2×C79—81no—
804C2×C79C2×#53611yescharacteristic
805C2×C79#349611yescharacteristic
806C2×C79#349611yescharacteristic
807C2×C79#353511yescharacteristic
808C2×C79#353611yescharacteristic
809C2×C79#356111yescharacteristic
810C2×C79#356411yescharacteristic
811D79—81no—
812C2×#543—791no—
813C2×#538—791no—
814#2857—791no—
815#2850—791no—
816#2700—791no—
817#2700—791no—
818#2698—791no—
819#2698—791no—
820#2689—791no—
821#2689—791no—
822#2687—791no—
823#2687—791no—
824#2681—791no—
825#2681—791no—
826#2680—791no—
827#2680—791no—
828#2674—791no—
829#2674—791no—
830#2672—791no—
831#2672—791no—
832#2659—791no—
833#2639—791no—
834#2564—791no—
835#2564—791no—
836#2417—791no—
837#2417—791no—
838#2412—791no—
839#2412—791no—
840#2412—791no—
841#2412D7911yescharacteristic, complemented
842C2×#388—791no—
843C79#3674011yescharacteristic, complemented, Sylow
844#543—1588no—
845#538—1588no—
846C2×C4⋊Q8—791no—
847C2×#126—791no—
848C2×#126—791no—
849C2×#124—791no—
850C2×#124—791no—
851C2×#124—791no—
852C2×#123—791no—
853C2×#123—791no—
854C2×#123—791no—
855C2×#123—791no—
856C2×#123—791no—
857C2×#123C2×D7911yescharacteristic
858C2×C22⋊Q8—791no—
859C2×C22⋊Q8—791no—
860C2×C22⋊Q8—791no—
861C2×C22⋊Q8—791no—
862C2×C22⋊Q8—791no—
863C2×C22⋊Q8—791no—
864C2×C22⋊Q8—791no—
865C2×C22⋊Q8—791no—
866C2×C22⋊Q8—791no—
867C2×C22⋊Q8—791no—
868C2×C22⋊Q8—791no—
869C2×C22⋊Q8—791no—
870C2×C22⋊Q8—791no—
871C2×C22⋊Q8—791no—
872C2×C22⋊Q8—791no—
873C2×#121—791no—
874C2×#121—791no—
875C2×#121—791no—
876C2×#120—791no—
877C2×#120C2×D7911yescharacteristic
878C2×C4×D4—791no—
879C2×C4×D4—791no—
880C22×C4⋊C4—791no—
881C22×C22⋊C4—791no—
882C22×C22⋊C4—791no—
883C22×C22⋊C4—791no—
884C22×C22⋊C4C2×D7911yescharacteristic
885C22×C22⋊C4C2×D7911yescharacteristic
886C22×C42—791no—
887#400—791no—
888#400—791no—
889#400—791no—
890#400—791no—
891#399—791no—
892#399—791no—
893#398—791no—
894#398—791no—
895#398—791no—
896#398—791no—
897#398—791no—
898#398—791no—
899#398—791no—
900#398—791no—
901#397—791no—
902#397—791no—
903#397—791no—
904#397—791no—
905#397—791no—
906#397—791no—
907#397—791no—
908#397—791no—
909#397C2×D7911yescharacteristic
910#397C2×D7911yescharacteristic
911#396—791no—
912#396—791no—
913#396—791no—
914#396—791no—
915#395—791no—
916#395—791no—
917#395—791no—
918#395—791no—
919#395—791no—
920#395—791no—
921#394—791no—
922#394—791no—
923#394—791no—
924#394—791no—
925#394—791no—
926#394—791no—
927#394—791no—
928#394—791no—
929#394C2×D7911yescharacteristic
930#394C2×D7911yescharacteristic
931#393—791no—
932#393—791no—
933#393—791no—
934#393—791no—
935#391—791no—
936#391—791no—
937#391—791no—
938#391—791no—
939#391—791no—
940#390—791no—
941#389—791no—
942#389—791no—
943#389—791no—
944#389—791no—
945#389—791no—
946#389—791no—
947#388—791no—
948#388—791no—
949#388—791no—
950#388—791no—
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#387—791no—
960#387—791no—
961#387—791no—
962#387—791no—
963#386—791no—
964#386—791no—
965#386—791no—
966#386—791no—
967#386—791no—
968#386—791no—
969#386—791no—
970#386—791no—
971#386—791no—
972#386C2×D7911yescharacteristic
973#386C2×D7911yescharacteristic
974#386C2×D7911yescharacteristic
975#385—791no—
976#385—791no—
977#385—791no—
978#385—791no—
979#385—791no—
980#385—791no—
981#385—791no—
982#385C2×D7911yescharacteristic
983#384—791no—
984#382—791no—
985#381—791no—
986#381—791no—
987#381—791no—
988#381C2×D7911yescharacteristic
989#380—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#380—791no—
994#380—791no—
995#380—791no—
996#380—791no—
997#380C2×D7911yescharacteristic
998#380C2×D7911yescharacteristic
999C2×#95—791no—
1000C2×#95—791no—
1001C25C22×D7911yescharacteristic
1002C22×Q8—791no—
1003C22×Q8—791no—
1004C22×Q8—791no—
1005C22×Q8—791no—
1006C22×Q8—791no—
1007C22×D4—791no—
1008C22×D4—791no—
1009C22×D4—791no—
1010C22×D4—791no—
1011C22×D4C22×D7911yescharacteristic
1012C22×D4C22×D7911yescharacteristic
1013C22×D4C22×D7911yescharacteristic
1014C23×C4—791no—
1015C23×C4—791no—
1016C23×C4—791no—
1017C23×C4—791no—
1018C23×C4—791no—
1019C23×C4—791no—
1020C23×C4—791no—
1021C23×C4—791no—
1022C23×C4C22×D7911yescharacteristic
1023C23×C4C22×D7911yescharacteristic
1024C23×C4C22×D7911yescharacteristic
1025C23×C4C22×D7911yescharacteristic
1026C4⋊Q8—3162no—
1027#126—1584no—
1028#126—1584no—
1029#124—3162no—
1030#124—1584no—
1031#124—1584no—
1032#123—42no—
1033#123—3162no—
1034#123—3162no—
1035#123—3162no—
1036#123—1584no—
1037#123—1584no—
1038C22⋊Q8—3162no—
1039C22⋊Q8—3162no—
1040C22⋊Q8—1584no—
1041C22⋊Q8—1584no—
1042C22⋊Q8—1584no—
1043C22⋊Q8—1584no—
1044C22⋊Q8—1584no—
1045C22⋊Q8—1584no—
1046C22⋊Q8—1584no—
1047C22⋊Q8—1584no—
1048C22⋊Q8—1584no—
1049C22⋊Q8—1584no—
1050C22⋊Q8—1584no—
1051C22⋊Q8—1584no—
1052C22⋊Q8—1584no—
1053#121—1584no—
1054#121—1584no—
1055#121—1584no—
1056#120—24no—
1057#120—1584no—
1058C4×D4—1584no—
1059C4×D4—1584no—
1060C2×C4⋊C4—3162no—
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⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4—791no—
1088C2×C4⋊C4—791no—
1089C2×C4⋊C4—791no—
1090C2×C4⋊C4—791no—
1091C2×C4⋊C4—791no—
1092C2×C4⋊C4—791no—
1093C2×C4⋊C4—791no—
1094C2×C4⋊C4—791no—
1095C2×C4⋊C4C22×D7911yescharacteristic
1096C2×C4⋊C4C22×D7911yescharacteristic
1097C2×C4⋊C4C22×D7911yescharacteristic
1098C2×C4⋊C4C22×D7911yescharacteristic
1099C2×C22⋊C4—24no—
1100C2×C22⋊C4—42no—
1101C2×C22⋊C4—3162no—
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—798no—
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—1584no—
1135C2×C22⋊C4C22×D7911yescharacteristic
1136C2×C22⋊C4C22×D7911yescharacteristic
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×C42—3162no—
1151C2×C42—791no—
1152C2×C42—791no—
1153C2×C42—791no—
1154C2×C42—791no—
1155C2×C42—791no—
1156C2×C42—791no—
1157#95—791no—
1158#95—791no—
1159#95—791no—
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#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
1195#95C22×D7911yescharacteristic
1196#95C22×D7911yescharacteristic
1197C24—22no—
1198C24—22no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—791no—
1204C24D4×D7914yes—
1205C24C23×D7911yescharacteristic
1206C24C23×D7911yescharacteristic
1207C24C23×D7911yescharacteristic
1208C24C23×D7911yescharacteristic
1209C2×Q8—3161no—
1210C2×Q8—3161no—
1211C2×Q8—3161no—
1212C2×Q8—3161no—
1213C2×Q8—3161no—
1214C2×Q8—3161no—
1215C2×Q8—3161no—
1216C2×Q8—3161no—
1217C2×Q8—3161no—
1218C2×Q8—3161no—
1219C2×Q8—1582no—
1220C2×Q8—1582no—
1221C2×Q8—1582no—
1222C2×Q8—1582no—
1223C2×Q8—1582no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—3161no—
1234C2×D4—3161no—
1235C2×D4—3161no—
1236C2×D4—3161no—
1237C2×D4—3161no—
1238C2×D4—3161no—
1239C2×D4—1582no—
1240C2×D4—1582no—
1241C2×D4—1582no—
1242C2×D4—1582no—
1243C2×D4—1582no—
1244C2×D4—1582no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—3161no—
1258C22×C4—3161no—
1259C22×C4—3161no—
1260C22×C4—3161no—
1261C22×C4—3161no—
1262C22×C4—3161no—
1263C22×C4—3161no—
1264C22×C4—3161no—
1265C22×C4—3161no—
1266C22×C4—3161no—
1267C22×C4—3161no—
1268C22×C4—3161no—
1269C22×C4—3161no—
1270C22×C4—3161no—
1271C22×C4—3161no—
1272C22×C4—794no—
1273C22×C4—794no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—791no—
1280C22×C4—791no—
1281C22×C4—791no—
1282C22×C4—791no—
1283C22×C4—791no—
1284C22×C4—791no—
1285C22×C4—791no—
1286C22×C4—791no—
1287C22×C4—791no—
1288C22×C4—791no—
1289C22×C4—1582no—
1290C22×C4—1582no—
1291C22×C4—1582no—
1292C22×C4—1582no—
1293C22×C4—1582no—
1294C22×C4—1582no—
1295C22×C4—1582no—
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C22×C4C23×D7911yescharacteristic
1300C22×C4C23×D7911yescharacteristic
1301C22×C4C23×D7911yescharacteristic
1302C22×C4C23×D7911yescharacteristic
1303C22×C4C23×D7911yescharacteristic
1304C22×C4C23×D7911yescharacteristic
1305C22×C4C23×D7911yescharacteristic
1306C22×C4C23×D7911yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—3161no—
1321C4⋊C4—3161no—
1322C4⋊C4—1582no—
1323C4⋊C4—1582no—
1324C4⋊C4—1582no—
1325C4⋊C4—1582no—
1326C4⋊C4—1582no—
1327C4⋊C4—1582no—
1328C4⋊C4—1582no—
1329C4⋊C4—1582no—
1330C4⋊C4—1582no—
1331C4⋊C4—1582no—
1332C4⋊C4—1582no—
1333C4⋊C4—1582no—
1334C4⋊C4—1582no—
1335C4⋊C4—1582no—
1336C4⋊C4—1582no—
1337C4⋊C4—1582no—
1338C4⋊C4—1582no—
1339C4⋊C4—1582no—
1340C4⋊C4—1582no—
1341C4⋊C4—1582no—
1342C4⋊C4—1582no—
1343C4⋊C4—1582no—
1344C4⋊C4—1582no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—3161no—
1371C22⋊C4—794no—
1372C22⋊C4—794no—
1373C22⋊C4—794no—
1374C22⋊C4—794no—
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—
1386C22⋊C4—1582no—
1387C22⋊C4—1582no—
1388C22⋊C4—1582no—
1389C22⋊C4—1582no—
1390C22⋊C4—1582no—
1391C42—3161no—
1392C42—3161no—
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—28no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—82no—
1424C23—82no—
1425C23—82no—
1426C23—82no—
1427C23—1581no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23C2×D4×D7912yes—
1435C23C2×D4×D7912yes—
1436C23C2×D4×D7912yes—
1437C23#1457920812yes—
1438C23#1457920812yes—
1439C23C24×D7911yescharacteristic
1440Q8—6322no—
1441Q8—6322no—
1442Q8—6322no—
1443Q8—6322no—
1444Q8—6322no—
1445D4—44no—
1446D4—82no—
1447D4—82no—
1448D4—3164no—
1449D4—6322no—
1450D4—6322no—
1451D4—6322no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—44no—
1485C2×C4—82no—
1486C2×C4—82no—
1487C2×C4—82no—
1488C2×C4—3164no—
1489C2×C4—3164no—
1490C2×C4—3164no—
1491C2×C4—792no—
1492C2×C4—792no—
1493C2×C4—792no—
1494C2×C4—792no—
1495C2×C4—792no—
1496C2×C4—6322no—
1497C2×C4—6322no—
1498C2×C4—6322no—
1499C2×C4—6322no—
1500C2×C4—6322no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4#1457920612yes—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—88no—
1570C22—3161no—
1571C22—3161no—
1572C22—3161no—
1573C22—3161no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22#1909913514yes—
1578C22C22×D4×D7911yescharacteristic
1579C22H(5,𝔽2)×D7911yescharacteristic
1580C22C2×#1457920611yescharacteristic
1581C22C2×#1457920811yescharacteristic
1582C22C2×#1457920811yescharacteristic
1583C22#1909939811yescharacteristic
1584C22#1909939911yescharacteristic
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—3161no—
1597C4—3161no—
1598C4—3161no—
1599C4—3161no—
1600C4—3161no—
1601C4—3161no—
1602C4—3161no—
1603C4—3161no—
1604C4—3161no—
1605C4—3161no—
1606C4—1582no—
1607C4—1582no—
1608C4—1582no—
1609C4—1582no—
1610C4—1582no—
1611C2—24no—
1612C2—42no—
1613C2—42no—
1614C2—81no—
1615C2—6321no—
1616C2C2×#1909913511yescharacteristic
1617C2#2377715711yescharacteristic
1618C2#2377716111yescharacteristic
1619C2#2377759711yescharacteristic
1620C2#2377762011yescharacteristic
1621C2#2377795811yescharacteristic
1622C2#2377801611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2412C2
prime radicalC2×#19099148C2
hypercenter#2412D79
hypocenterC79#36740
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
1. C2×#19099189C2semidirect
3. #23771750C2semidirect
4. #23771697C2semidirect
5. #23770002C2semidirect
6. #23770000C2semidirect
7. #23769978C2semidirect
8. #23769976C2semidirect
9. #23769857C2semidirect
10. #23769851C2semidirect
11. #23769827C2semidirect
12. #23769821C2semidirect
13. #23769756C2semidirect
14. #23769754C2semidirect
15. #23769743C2semidirect
16. #23769742C2semidirect
17. #23769687C2semidirect
18. #23769681C2semidirect
19. #23769657C2semidirect
20. #23769651C2semidirect
21. #23769517C2semidirect
22. #23769330C2semidirect
23. #23768584C2semidirect
24. #23768578C2semidirect
25. #23766850C2semidirect
26. #23766848C2semidirect
27. #23766797C2semidirect
28. #23766796C2semidirect
29. #23766790C2semidirect
30. C2×#19098451C2semidirect
31. C79×#2412C2semidirect
34. C2×#14579160C22semidirect
39. C2×#14579147C22semidirect
49. C2×#14579139C22semidirect
59. C2×#14579138C22semidirect
71. #19098505C22semidirect
72. #19098505C22semidirect
73. #19098504C22semidirect
74. #19098504C22semidirect
75. #19098499C22semidirect
76. #19098498C22semidirect
77. #19098497C22semidirect
78. #19098497C22semidirect
79. #19098497C22semidirect
80. #19098497C22semidirect
81. #19098496C22semidirect
82. #19098496C22semidirect
83. #19098495C22semidirect
84. #19098494C22semidirect
85. #19098492C22semidirect
90. #19098491C22semidirect
93. #19098487C22semidirect
94. #19098486C22semidirect
95. #19098486C22semidirect
96. #19098485C22semidirect
97. #19098484C22semidirect
98. #19098484C22semidirect
99. #19098484C22semidirect
100. #19098483C22semidirect
101. #19098483C22semidirect
102. #19098483C22semidirect
105. #19098479C22semidirect
108. #19098478C22semidirect
111. #19098476C22semidirect
112. #19098476C22semidirect
113. #19098475C22semidirect
114. #19098475C22semidirect
115. #19098467C22semidirect
116. #19098467C22semidirect
117. #19098467C22semidirect
118. #19098467C22semidirect
119. #19098467C22semidirect
120. #19098463C22semidirect
121. #19098462C22semidirect
122. #19098460C22semidirect
123. #19098460C22semidirect
124. #19098460C22semidirect
125. #19098459C22semidirect
126. #19098458C22semidirect
127. #19098456C22semidirect
128. #19098455C22semidirect
129. #19098452C22semidirect
138. #19098451C22semidirect
139. #19098450C22semidirect
140. #19098449C22semidirect
141. #19098446C22semidirect
142. #19098445C22semidirect
153. #19098438C22semidirect
154. #19098437C22semidirect
157. #19098435C22semidirect
158. #19098434C22semidirect
159. #19098432C22semidirect
160. #19098427C22semidirect
166. #19098422C22semidirect
171. #19098421C22semidirect
841. #2412D79semidirect
843. C79#36740semidirect

Maximal subgroups

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

subgroupindex
C2×#190991892
C2×#190991482
#237717502
#237716972
#237700022
#237700002
#237699782
#237699762
#237698572
#237698512
#237698272
#237698212
#237697562
#237697542
#237697432
#237697422
#237696872
#237696812
#237696572
#237696512
#237695172
#237693302
#237685842
#237685782
#237668502
#237668482
#237667972
#237667962
#237667902
C2×#190984512
C79×#24122
#3674079