Finite Group Databasebeta

← #34501913

Subgroups — #34501913

Order 20224.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1588 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099145C211yesmaximal, characteristic
2C2×#126×D79C211yesmaximal, characteristic, complemented
3#23771735C211yesmaximal, characteristic, complemented
4#23771730C211yesmaximal, characteristic, complemented
5#23770311C211yesmaximal, characteristic, complemented
6#23770310C211yesmaximal, characteristic, complemented
7#23770306C211yesmaximal, characteristic, complemented
8#23770304C211yesmaximal, characteristic, complemented
9#23770218C211yesmaximal, characteristic, complemented
10#23770216C211yesmaximal, characteristic, complemented
11#23770206C211yesmaximal, characteristic, complemented
12#23770204C211yesmaximal, characteristic, complemented
13#23769939C211yesmaximal, characteristic, complemented
14#23769935C211yesmaximal, characteristic, complemented
15#23769934C211yesmaximal, characteristic, complemented
16#23769930C211yesmaximal, characteristic, complemented
17#23769886C211yesmaximal, characteristic, complemented
18#23769882C211yesmaximal, characteristic, complemented
19#23769877C211yesmaximal, characteristic, complemented
20#23769218C211yesmaximal, characteristic, complemented
21#23769141C211yesmaximal, characteristic, complemented
22#23768745C211yesmaximal, characteristic, complemented
23#23768742C211yesmaximal, characteristic, complemented
24#23767704C211yesmaximal, characteristic, complemented
25#23767701C211yesmaximal, characteristic, complemented
26#23766795C211yesmaximal, characteristic, complemented
27#23766795C211yesmaximal, characteristic, complemented
28#23766791C211yesmaximal, characteristic, complemented
29#23766791C211yesmaximal, characteristic, complemented
30#23766011C211yesmaximal, characteristic, complemented
31C79×#2691C211yesmaximal, characteristic, complemented
32#19099145—28no—
33C2×#14579156C2211yescharacteristic
34C2×#14579156C2211yescharacteristic
35C2×#14579156C2211yescharacteristic
36C2×#14579156C2211yescharacteristic
37C2×#14579155C2211yescharacteristic
38C2×#14579154C2211yescharacteristic
39C2×#14579154C2211yescharacteristic
40C2×#14579154C2211yescharacteristic
41C2×#14579154C2211yescharacteristic
42#126×D79—28no—
43C2×#14579148C2211yescharacteristic
44C2×#14579147C2211yescharacteristic
45C2×#14579144C2211yescharacteristic
46C2×#14579143C2211yescharacteristic
47C2×#14579143C2211yescharacteristic
48C2×#14579143C2211yescharacteristic
49C2×#14579143C2211yescharacteristic
50C2×#14579142C2211yescharacteristic
51C2×#14579139C2211yescharacteristic
52C2×#14579133C2211yescharacteristic
53C2×#14579132C2211yescharacteristic
54C2×#14579129C2211yescharacteristic
55C2×#14579129C2211yescharacteristic
56C2×C4×C22⋊D79C2211yescharacteristic
57C2×(C22⋊D79)⋊C4C2211yescharacteristic
58C2×C4⋊C4×D79C2211yescharacteristic
59C2×C4⋊C4×D79C2211yescharacteristic
60C2×C4⋊C4×D79C2211yescharacteristic
61C22×(C2×D79)⋊C4C2211yescharacteristic
62C2×C22⋊C4×D79C2211yescharacteristic
63C2×C22⋊C4×D79C2211yescharacteristic
64C2×C22⋊C4×D79C2211yescharacteristic
65C2×C22⋊C4×D79C2211yescharacteristic
66C2×C42×D79C2211yescharacteristic
67#19098505C2211yescharacteristic, complemented
68#19098504C2211yescharacteristic, complemented
69#19098497C2211yescharacteristic, complemented
70#19098497C2211yescharacteristic, complemented
71#19098497C2211yescharacteristic, complemented
72#19098496C2211yescharacteristic, complemented
73#19098496C2211yescharacteristic, complemented
74#19098496C2211yescharacteristic, complemented
75#19098495C2211yescharacteristic, complemented
76#19098495C2211yescharacteristic, complemented
77#19098494C2211yescharacteristic, complemented
78#19098494C2211yescharacteristic, complemented
79#19098493C2211yescharacteristic, complemented
80#19098493C2211yescharacteristic, complemented
81#19098493C2211yescharacteristic, complemented
82#19098492C2211yescharacteristic
83#19098492C2211yescharacteristic
84#19098491C2211yescharacteristic
85#19098491C2211yescharacteristic
86#19098491C2211yescharacteristic, complemented
87#19098491C2211yescharacteristic, complemented
88#19098490C2211yescharacteristic
89#19098490C2211yescharacteristic
90#19098488C2211yescharacteristic
91#19098488C2211yescharacteristic
92#19098488C2211yescharacteristic, complemented
93#19098486C2211yescharacteristic, complemented
94#19098486C2211yescharacteristic, complemented
95#19098486C2211yescharacteristic, complemented
96#19098486C2211yescharacteristic, complemented
97#19098486C2211yescharacteristic, complemented
98#19098486C2211yescharacteristic, complemented
99#19098486C2211yescharacteristic, complemented
100#19098484C2211yescharacteristic, complemented
101#19098483C2211yescharacteristic, complemented
102#19098479C2211yescharacteristic
103#19098479C2211yescharacteristic
104#19098478C2211yescharacteristic
105#19098478C2211yescharacteristic
106#19098477C2211yescharacteristic
107#19098477C2211yescharacteristic
108#19098477C2211yescharacteristic, complemented
109#19098467C2211yescharacteristic, complemented
110#19098467C2211yescharacteristic, complemented
111#19098466C2211yescharacteristic, complemented
112#19098462C2211yescharacteristic, complemented
113#19098462C2211yescharacteristic, complemented
114#19098461C2211yescharacteristic, complemented
115#19098460C2211yescharacteristic, complemented
116#19098460C2211yescharacteristic, complemented
117#19098460C2211yescharacteristic, complemented
118#19098459C2211yescharacteristic, complemented
119#19098458C2211yescharacteristic, complemented
120#19098457C2211yescharacteristic, complemented
121#19098457C2211yescharacteristic, complemented
122#19098456C2211yescharacteristic, complemented
123#19098456C2211yescharacteristic, complemented
124#19098449C2211yescharacteristic, complemented
125#19098448C2211yescharacteristic, complemented
126#19098448C2211yescharacteristic, complemented
127#19098447C2211yescharacteristic, complemented
128#19098445C2211yescharacteristic, complemented
129#19098444C2211yescharacteristic, complemented
130#19098444C2211yescharacteristic, complemented
131#19098443C2211yescharacteristic
132#19098443C2211yescharacteristic
133#19098439C2211yescharacteristic
134#19098439C2211yescharacteristic
135#19098439C2211yescharacteristic
136#19098439C2211yescharacteristic
137#19098439C2211yescharacteristic
138#19098439C2211yescharacteristic
139#19098439C2211yescharacteristic
140#19098439C2211yescharacteristic
141#19098438C2211yescharacteristic
142#19098438C2211yescharacteristic, complemented
143#19098437C2211yescharacteristic
144#19098437C2211yescharacteristic
145#19098437C2211yescharacteristic
146#19098437C2211yescharacteristic
147#19098436C2211yescharacteristic
148#19098436C2211yescharacteristic, complemented
149#19098435C2211yescharacteristic
150#19098435C2211yescharacteristic, complemented
151#19098434C2211yescharacteristic
152#19098434C2211yescharacteristic
153#19098434C2211yescharacteristic
154#19098434C2211yescharacteristic
155#19098425C2211yescharacteristic
156#19098425C2211yescharacteristic
157#19098425C2211yescharacteristic
158#19098425C2211yescharacteristic
159#19098423C2211yescharacteristic
160#19098423C2211yescharacteristic
161#19098423C2211yescharacteristic, complemented
162#19098422C2211yescharacteristic
163#19098422C2211yescharacteristic
164#19098422C2211yescharacteristic
165#19098422C2211yescharacteristic
166#19098421C2211yescharacteristic
167#19098421C2211yescharacteristic
168#19098421C2211yescharacteristic, complemented
169#19098421C2211yescharacteristic, complemented
170#19098420C2211yescharacteristic
171#19098420C2211yescharacteristic
172#19098420C2211yescharacteristic
173#19098420C2211yescharacteristic
174C2×#126×C79C2211yescharacteristic
175C2×#121×C79C2211yescharacteristic
176#398×C79C2211yescharacteristic, complemented
177#397×C79C2211yescharacteristic, complemented
178#396×C79C2211yescharacteristic, complemented
179#394×C79C2211yescharacteristic
180#394×C79C2211yescharacteristic
181#394×C79C2211yescharacteristic, complemented
182#390×C79C2211yescharacteristic, complemented
183#387×C79C2211yescharacteristic, complemented
184#386×C79C2211yescharacteristic
185#386×C79C2211yescharacteristic
186#385×C79C2211yescharacteristic
187#385×C79C2211yescharacteristic, complemented
188#380×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C23×Dic79C2311yescharacteristic
196C23×Dic79C2311yescharacteristic
197C22×C4×D79C2311yescharacteristic
198C22×C4×D79C2311yescharacteristic
199C22×C4×D79C2311yescharacteristic
200C22×C4×D79C2311yescharacteristic
201C22×C4×D79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205#14579156—24no—
206#14579156—24no—
207#14579156—24no—
208#14579156—24no—
209#14579155—24no—
210#14579154—24no—
211#14579154—24no—
212#14579154—24no—
213#14579154—24no—
214#14579148—24no—
215#14579147—24no—
216#14579144—24no—
217#14579143—42no—
218#14579143—42no—
219#14579143—42no—
220#14579143—42no—
221#14579142—24no—
222#14579139—24no—
223#14579133—24no—
224#14579132—24no—
225#14579129—24no—
226#14579129—24no—
227C4×C22⋊D79—24no—
228(C22⋊D79)⋊C4—24no—
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
263C4⋊C4×D79—24no—
264C4⋊C4×D79—24no—
265C4⋊C4×D79—24no—
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×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×(C2×D79)⋊C4—42no—
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
300C22⋊C4×D79—24no—
301C22⋊C4×D79—24no—
302C22⋊C4×D79—42no—
303C22⋊C4×D79D418yes—
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C42×D79—24no—
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
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
346C23×C4×C79C2311yescharacteristic
347#126×C79—24no—
348#121×C79—24no—
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×C42×C79C2311yescharacteristic
371#95×C79C2311yescharacteristic
372#95×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—41no—
382C23×D79—41no—
383C23×D79—41no—
384C23×D79—41no—
385C23×D79C2×D414yes—
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—22no—
398C2×C22⋊D79—22no—
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×Dic79—41no—
407C22×Dic79—41no—
408C22×Dic79—41no—
409C22×Dic79C2411yescharacteristic
410C22×Dic79C2411yescharacteristic
411C22×Dic79C2411yescharacteristic
412C22×Dic79C2411yescharacteristic
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C2×C4×D79—22no—
424C2×C4×D79—22no—
425C2×C4×D79—22no—
426C2×C4×D79—22no—
427C2×C4×D79—22no—
428C2×C4×D79—22no—
429C2×C4×D79—22no—
430C2×C4×D79—22no—
431C2×C4×D79—41no—
432C2×C4×D79—41no—
433C2×C4×D79—41no—
434C2×C4×D79—41no—
435C2×C4×D79—41no—
436C2×C4×D79—41no—
437C2×C4×D79—41no—
438C2×C4×D79—41no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C2×C4×D79—41no—
442C2×C4×D79—41no—
443C2×C4×D79—41no—
444C2×C4×D79—41no—
445C2×C4×D79C2×D414yes—
446C2×C4×D79C2×D414yes—
447C4⋊Dic79—22no—
448C4⋊Dic79—22no—
449C4⋊Dic79—22no—
450C4⋊Dic79—22no—
451C4⋊Dic79—41no—
452C4⋊Dic79—41no—
453C4⋊Dic79—41no—
454C4⋊Dic79—41no—
455C4⋊Dic79—41no—
456C4⋊Dic79—41no—
457C4⋊Dic79—41no—
458C4⋊Dic79—41no—
459Dic79⋊C4—22no—
460Dic79⋊C4—22no—
461Dic79⋊C4—22no—
462Dic79⋊C4—22no—
463Dic79⋊C4—22no—
464Dic79⋊C4—22no—
465Dic79⋊C4—22no—
466Dic79⋊C4—22no—
467Dic79⋊C4—22no—
468Dic79⋊C4—22no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474Dic79⋊C4—41no—
475Dic79⋊C4—41no—
476Dic79⋊C4—41no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481C22⋊Dic79—22no—
482C22⋊Dic79—22no—
483C22⋊Dic79—22no—
484C22⋊Dic79—22no—
485C22⋊Dic79—22no—
486C22⋊Dic79—22no—
487C22⋊Dic79—22no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492C22⋊Dic79—41no—
493C22⋊Dic79—41no—
494C22⋊Dic79—41no—
495C22⋊Dic79—41no—
496C22⋊Dic79—41no—
497C22⋊Dic79C2×D414yes—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—22no—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—22no—
503(C2×D79)⋊C4—22no—
504(C2×D79)⋊C4—22no—
505(C2×D79)⋊C4—22no—
506(C2×D79)⋊C4—22no—
507(C2×D79)⋊C4—22no—
508(C2×D79)⋊C4—22no—
509(C2×D79)⋊C4—22no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4C2×D414yes—
513(C2×D79)⋊C4C2×D414yes—
514C4×Dic79—22no—
515C4×Dic79—22no—
516C4×Dic79—22no—
517C4×Dic79—22no—
518C4×Dic79—22no—
519C24×C79C2411yescharacteristic
520C24×C79C2411yescharacteristic
521C24×C79C2411yescharacteristic
522C2×D4×C79—22no—
523C2×D4×C79—22no—
524C2×D4×C79—22no—
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×C79—41no—
535C22×C4×C79—41no—
536C22×C4×C79—41no—
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
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C4⋊C4×C79—22no—
550C4⋊C4×C79—22no—
551C4⋊C4×C79—22no—
552C4⋊C4×C79—22no—
553C4⋊C4×C79—41no—
554C4⋊C4×C79—41no—
555C4⋊C4×C79—41no—
556C4⋊C4×C79—41no—
557C22⋊C4×C79—22no—
558C22⋊C4×C79—22no—
559C22⋊C4×C79—22no—
560C22⋊C4×C79—41no—
561C22⋊C4×C79—41no—
562C22⋊C4×C79—41no—
563C22⋊C4×C79—41no—
564C22⋊C4×C79—41no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79C2×D414yes—
570C42×C79—22no—
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×C79C22×D412yes—
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—28no—
604C22×D79—44no—
605C22×D79—44no—
606C22×D79—82no—
607C22×D79—82no—
608C22×D79—82no—
609C22×D79—82no—
610C22×D79C22×D412yes—
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—21no—
651C2×C4×C79—82no—
652C2×C4×C79—82no—
653C2×C4×C79C22×D412yes—
654C2×C4×C79C22×D412yes—
655C22⋊D79—44no—
656C22⋊D79—44no—
657C22⋊D79—82no—
658C22⋊D79—82no—
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—21no—
698C2×Dic79—21no—
699C2×Dic79—82no—
700C2×Dic79—82no—
701C2×Dic79C22×D412yes—
702C2×Dic79C22×D412yes—
703C4×D79—44no—
704C4×D79—44no—
705C4×D79—44no—
706C4×D79—44no—
707C4×D79—44no—
708C4×D79—44no—
709C4×D79—82no—
710C4×D79—82no—
711Dic158—82no—
712C22×C79—22no—
713C22×C79—22no—
714C22×C79—22no—
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×C79—41no—
730C22×C79—41no—
731C22×C79—41no—
732C22×C79—41no—
733C22×C79C23×D411yescharacteristic
734C22×C79C2×H(5,𝔽2)11yescharacteristic
735C22×C79C2×2−1+411yescharacteristic
736C22×C79#58511yescharacteristic
737C22×C79#58511yescharacteristic
738C22×C79#58511yescharacteristic
739C22×C79#58511yescharacteristic
740C2×D79—22no—
741C2×D79—22no—
742C2×D79—22no—
743C2×D79—22no—
744C2×D79—22no—
745C2×D79—22no—
746C2×D79—22no—
747C2×D79—22no—
748C2×D79—22no—
749C2×D79—41no—
750C2×D79—41no—
751C2×D79—41no—
752C2×D79—41no—
753C2×D79—88no—
754C2×D79#53714yes—
755C4×C79—22no—
756C4×C79—22no—
757C4×C79—41no—
758C4×C79—41no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767Dic79—22no—
768Dic79—22no—
769Dic79—41no—
770Dic79—41no—
771Dic79—41no—
772Dic79—41no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779Dic79—41no—
780Dic79—41no—
781#36960—791nomaximal, Sylow
782C2×C79—42no—
783C2×C79—81no—
784C2×C79—81no—
785C2×C79C2×#53711yescharacteristic
786C2×C79#348511yescharacteristic
787C2×C79#348511yescharacteristic
788C2×C79#356011yescharacteristic
789C2×C79#356011yescharacteristic
790C2×C79#356411yescharacteristic
791C2×C79#356411yescharacteristic
792D79—24no—
793D79—42no—
794C2×#538—791no—
795C22×#126—791no—
796#2855—791no—
797#2854—791no—
798#2722—791no—
799#2722—791no—
800#2722—791no—
801#2722—791no—
802#2715—791no—
803#2715—791no—
804#2715—791no—
805#2715—791no—
806#2695—791no—
807#2695—791no—
808#2695—791no—
809#2695—791no—
810#2691—791no—
811#2691—791no—
812#2691—791no—
813#2691D7911yescharacteristic, complemented
814#2627—791no—
815#2618—791no—
816#2579—791no—
817#2579—791no—
818#2486—791no—
819#2486—791no—
820#2412—791no—
821#2412—791no—
822#2412—791no—
823#2412—791no—
824#2315—791no—
825C79#3696011yescharacteristic, complemented, Sylow
826#538—1588no—
827C2×#126—791no—
828C2×#126—791no—
829C2×#126—791no—
830C2×#126—791no—
831C2×#126—791no—
832C2×#126—791no—
833C2×#126—791no—
834C2×#126—791no—
835C2×#126—791no—
836C2×#126—1588no—
837C2×#126C2×D7911yescharacteristic
838C2×#124—791no—
839C2×#124—791no—
840C2×#123—791no—
841C2×#123—791no—
842C2×#123—791no—
843C2×#123—791no—
844C2×#123—791no—
845C2×#123—791no—
846C2×C22⋊Q8—791no—
847C2×#121—791no—
848C2×#121—791no—
849C2×#121C2×D7911yescharacteristic
850C2×#120—791no—
851C2×#120—791no—
852C2×C4×D4—791no—
853C2×C4×D4—791no—
854C22×C4⋊C4—791no—
855C22×C4⋊C4—791no—
856C22×C4⋊C4—791no—
857C22×C22⋊C4—791no—
858C22×C22⋊C4—791no—
859C22×C22⋊C4—791no—
860C22×C22⋊C4—791no—
861C22×C22⋊C4—791no—
862C22×C42—791no—
863#400—791no—
864#400—791no—
865#398—791no—
866#398—791no—
867#398—791no—
868#398—791no—
869#398—791no—
870#398—791no—
871#398—791no—
872#398—791no—
873#398—791no—
874#398—791no—
875#398—791no—
876#398—791no—
877#398—791no—
878#398C2×D7911yescharacteristic, complemented
879#397—791no—
880#397—791no—
881#397—791no—
882#397—791no—
883#397—791no—
884#397—791no—
885#397—791no—
886#397—791no—
887#397—791no—
888#397—791no—
889#397—791no—
890#397C2×D7911yescharacteristic, complemented
891#396—791no—
892#396—791no—
893#396—791no—
894#396—791no—
895#396—791no—
896#396—791no—
897#396—791no—
898#396C2×D7911yescharacteristic, complemented
899#395—791no—
900#395—791no—
901#394—791no—
902#394—791no—
903#394—791no—
904#394—791no—
905#394—791no—
906#394—791no—
907#394—791no—
908#394C2×D7911yescharacteristic
909#394C2×D7911yescharacteristic
910#394C2×D7911yescharacteristic, complemented
911#391—791no—
912#391—791no—
913#390—791no—
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#388—791no—
924#388—791no—
925#388—791no—
926#388—791no—
927#387—791no—
928#387—791no—
929#387—791no—
930#387—791no—
931#387—791no—
932#387—791no—
933#387—791no—
934#387C2×D7911yescharacteristic, complemented
935#386—791no—
936#386—791no—
937#386—791no—
938#386—791no—
939#386—791no—
940#386—791no—
941#386—791no—
942#386—791no—
943#386—791no—
944#386—791no—
945#386C2×D7911yescharacteristic
946#386C2×D7911yescharacteristic
947#385—791no—
948#385—791no—
949#385—791no—
950#385—791no—
951#385—791no—
952#385—791no—
953#385—791no—
954#385—791no—
955#385—791no—
956#385—791no—
957#385—791no—
958#385—791no—
959#385—791no—
960#385—791no—
961#385C2×D7911yescharacteristic
962#385C2×D7911yescharacteristic, complemented
963#381—791no—
964#381—791no—
965#381—791no—
966#381—791no—
967#380—791no—
968#380—791no—
969#380—791no—
970#380—791no—
971#380—791no—
972#380—791no—
973#380—791no—
974#380—791no—
975#380—791no—
976#380—791no—
977#380—791no—
978#380—791no—
979#380—791no—
980#380—791no—
981#380—791no—
982#380C2×D7911yescharacteristic, complemented
983C25—791no—
984C22×Q8—791no—
985C22×D4—791no—
986C22×D4—791no—
987C22×D4—791no—
988C22×D4—791no—
989C22×D4C22×D7911yescharacteristic
990C22×D4C22×D7911yescharacteristic
991C22×D4C22×D7911yescharacteristic
992C23×C4—791no—
993C23×C4—791no—
994C23×C4—791no—
995C23×C4—791no—
996C23×C4—791no—
997C23×C4—791no—
998C23×C4—791no—
999C23×C4—791no—
1000C23×C4—791no—
1001C23×C4—791no—
1002C23×C4C22×D7911yescharacteristic
1003C23×C4C22×D7911yescharacteristic
1004#126—24no—
1005#126—1584no—
1006#126—1584no—
1007#126—1584no—
1008#126—1584no—
1009#126—1584no—
1010#126—1584no—
1011#126—1584no—
1012#126—1584no—
1013#126—1584no—
1014#124—1584no—
1015#124—1584no—
1016#123—3162no—
1017#123—3162no—
1018#123—3162no—
1019#123—3162no—
1020#123—1584no—
1021#123—1584no—
1022C22⋊Q8—1584no—
1023#121—24no—
1024#121—1584no—
1025#121—1584no—
1026#120—1584no—
1027#120—1584no—
1028C4×D4—1584no—
1029C4×D4—1584no—
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—791no—
1047C2×C4⋊C4—791no—
1048C2×C4⋊C4—791no—
1049C2×C4⋊C4—791no—
1050C2×C4⋊C4—791no—
1051C2×C4⋊C4—791no—
1052C2×C4⋊C4—791no—
1053C2×C4⋊C4—791no—
1054C2×C4⋊C4—791no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4—791no—
1057C2×C4⋊C4—791no—
1058C2×C4⋊C4—791no—
1059C2×C4⋊C4—791no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—1584no—
1065C2×C4⋊C4—1584no—
1066C2×C4⋊C4—1584no—
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×C4⋊C4C22×D7911yescharacteristic
1074C2×C4⋊C4C22×D7911yescharacteristic
1075C2×C22⋊C4—3162no—
1076C2×C22⋊C4—3162no—
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—798no—
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—1584no—
1112C2×C22⋊C4—1584no—
1113C2×C22⋊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—1584no—
1132C2×C42C22×D7911yescharacteristic
1133#95—791no—
1134#95—791no—
1135#95—791no—
1136#95—791no—
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#95—791no—
1164#95—791no—
1165#95C22×D7911yescharacteristic
1166#95C22×D7911yescharacteristic
1167#95C22×D7911yescharacteristic
1168#95C22×D7911yescharacteristic
1169#95C22×D7911yescharacteristic
1170#95C22×D7911yescharacteristic
1171#95C22×D7911yescharacteristic
1172#95C22×D7911yescharacteristic
1173C24—3161no—
1174C24—3161no—
1175C24—3161no—
1176C24—3161no—
1177C24—794no—
1178C24—791no—
1179C24—791no—
1180C24—1582no—
1181C24—1582no—
1182C24C23×D7911yescharacteristic
1183C24C23×D7911yescharacteristic
1184C24C23×D7911yescharacteristic
1185C2×Q8—3161no—
1186C2×Q8—3161no—
1187C2×Q8—1582no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—3161no—
1198C2×D4—3161no—
1199C2×D4—3161no—
1200C2×D4—3161no—
1201C2×D4—1582no—
1202C2×D4—1582no—
1203C2×D4—1582no—
1204C2×D4—1582no—
1205C2×D4—1582no—
1206C2×D4—1582no—
1207C2×D4—1582no—
1208C2×D4—1582no—
1209C22×C4—22no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—3161no—
1216C22×C4—3161no—
1217C22×C4—3161no—
1218C22×C4—3161no—
1219C22×C4—3161no—
1220C22×C4—3161no—
1221C22×C4—3161no—
1222C22×C4—3161no—
1223C22×C4—3161no—
1224C22×C4—3161no—
1225C22×C4—3161no—
1226C22×C4—3161no—
1227C22×C4—3161no—
1228C22×C4—3161no—
1229C22×C4—3161no—
1230C22×C4—3161no—
1231C22×C4—3161no—
1232C22×C4—3161no—
1233C22×C4—3161no—
1234C22×C4—794no—
1235C22×C4—794no—
1236C22×C4—791no—
1237C22×C4—791no—
1238C22×C4—791no—
1239C22×C4—791no—
1240C22×C4—791no—
1241C22×C4—791no—
1242C22×C4—791no—
1243C22×C4—791no—
1244C22×C4—791no—
1245C22×C4—791no—
1246C22×C4—791no—
1247C22×C4—791no—
1248C22×C4—791no—
1249C22×C4—791no—
1250C22×C4—1582no—
1251C22×C4—1582no—
1252C22×C4—1582no—
1253C22×C4—1582no—
1254C22×C4—1582no—
1255C22×C4—1582no—
1256C22×C4—1582no—
1257C22×C4—1582no—
1258C22×C4—1582no—
1259C22×C4C23×D7911yescharacteristic
1260C22×C4C23×D7911yescharacteristic
1261C22×C4C23×D7911yescharacteristic
1262C22×C4C23×D7911yescharacteristic
1263C22×C4C23×D7911yescharacteristic
1264C22×C4C23×D7911yescharacteristic
1265C22×C4C23×D7911yescharacteristic
1266C22×C4C23×D7911yescharacteristic
1267C22×C4C23×D7911yescharacteristic
1268C22×C4C23×D7911yescharacteristic
1269C22×C4C23×D7911yescharacteristic
1270C22×C4C23×D7911yescharacteristic
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—3161no—
1280C4⋊C4—3161no—
1281C4⋊C4—3161no—
1282C4⋊C4—3161no—
1283C4⋊C4—3161no—
1284C4⋊C4—3161no—
1285C4⋊C4—3161no—
1286C4⋊C4—3161no—
1287C4⋊C4—3161no—
1288C4⋊C4—3161no—
1289C4⋊C4—3161no—
1290C4⋊C4—3161no—
1291C4⋊C4—3161no—
1292C4⋊C4—3161no—
1293C4⋊C4—3161no—
1294C4⋊C4—3161no—
1295C4⋊C4—3161no—
1296C4⋊C4—3161no—
1297C4⋊C4—3161no—
1298C4⋊C4—3161no—
1299C4⋊C4—1582no—
1300C4⋊C4—1582no—
1301C4⋊C4—1582no—
1302C4⋊C4—1582no—
1303C4⋊C4—1582no—
1304C4⋊C4—1582no—
1305C4⋊C4—1582no—
1306C4⋊C4—1582no—
1307C4⋊C4—1582no—
1308C4⋊C4—1582no—
1309C4⋊C4—1582no—
1310C4⋊C4—1582no—
1311C4⋊C4—1582no—
1312C4⋊C4—1582no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—3161no—
1326C22⋊C4—3161no—
1327C22⋊C4—3161no—
1328C22⋊C4—3161no—
1329C22⋊C4—3161no—
1330C22⋊C4—3161no—
1331C22⋊C4—3161no—
1332C22⋊C4—3161no—
1333C22⋊C4—3161no—
1334C22⋊C4—3161no—
1335C22⋊C4—3161no—
1336C22⋊C4—794no—
1337C22⋊C4—794no—
1338C22⋊C4—794no—
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—
1351C22⋊C4—1582no—
1352C22⋊C4—1582no—
1353C22⋊C4—1582no—
1354C22⋊C4—1582no—
1355C22⋊C4—1582no—
1356C22⋊C4—1582no—
1357C22⋊C4—1582no—
1358C22⋊C4D4×D7914yes—
1359C42—22no—
1360C42—1582no—
1361C42—1582no—
1362C42—1582no—
1363C42—1582no—
1364C42—1582no—
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—21no—
1383C23—21no—
1384C23—21no—
1385C23—3164no—
1386C23—3164no—
1387C23—792no—
1388C23—792no—
1389C23—792no—
1390C23—792no—
1391C23—6322no—
1392C23—6322no—
1393C23—6322no—
1394C23—6322no—
1395C23—1588no—
1396C23—1581no—
1397C23—1581no—
1398C23—1581no—
1399C23—1581no—
1400C23—1581no—
1401C23—1581no—
1402C23—1581no—
1403C23—1581no—
1404C23—1581no—
1405C23—1581no—
1406C23C2×D4×D7912yes—
1407C23C24×D7911yescharacteristic
1408Q8—6322no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—3164no—
1413D4—3164no—
1414D4—6322no—
1415D4—6322no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—82no—
1451C2×C4—82no—
1452C2×C4—3164no—
1453C2×C4—3164no—
1454C2×C4—3164no—
1455C2×C4—3164no—
1456C2×C4—3164no—
1457C2×C4—3164no—
1458C2×C4—792no—
1459C2×C4—792no—
1460C2×C4—6322no—
1461C2×C4—6322no—
1462C2×C4—6322no—
1463C2×C4—6322no—
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×C4—1581no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4C2×D4×D7912yes—
1505C2×C4C2×D4×D7912yes—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—3161no—
1528C22—3161no—
1529C22—3161no—
1530C22—3161no—
1531C22—794no—
1532C22—6328no—
1533C22—1582no—
1534C22—1582no—
1535C22—1582no—
1536C22—1582no—
1537C22—1582no—
1538C22—1582no—
1539C22—1582no—
1540C22—1582no—
1541C22—1582no—
1542C22C22×D4×D7911yescharacteristic
1543C22H(5,𝔽2)×D7911yescharacteristic
1544C222−1+4×D7911yescharacteristic
1545C22#1909939811yescharacteristic
1546C22#1909939811yescharacteristic
1547C22#1909939911yescharacteristic
1548C22#1909939911yescharacteristic
1549C4—22no—
1550C4—22no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—3161no—
1562C4—3161no—
1563C4—3161no—
1564C4—3161no—
1565C4—3161no—
1566C4—3161no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—3161no—
1573C4—1582no—
1574C4—1582no—
1575C2—42no—
1576C2—81no—
1577C2—81no—
1578C2—3162no—
1579C2—1584no—
1580C2#537×D7911yescharacteristic
1581C2#2377703711yescharacteristic
1582C2#2377703711yescharacteristic
1583C2#2377793911yescharacteristic
1584C2#2377795011yescharacteristic
1585C2#2377801711yescharacteristic
1586C2#2377802511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2691C2
prime radicalC2×#19099145C2
hypercenter#2691D79
hypocenterC79#36960
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2691

Complements

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

NH ≅ G/Ntype
2. C2×#126×D79C2semidirect
3. #23771735C2semidirect
4. #23771730C2semidirect
5. #23770311C2semidirect
6. #23770310C2semidirect
7. #23770306C2semidirect
8. #23770304C2semidirect
9. #23770218C2semidirect
10. #23770216C2semidirect
11. #23770206C2semidirect
12. #23770204C2semidirect
13. #23769939C2semidirect
14. #23769935C2semidirect
15. #23769934C2semidirect
16. #23769930C2semidirect
17. #23769886C2semidirect
18. #23769882C2semidirect
19. #23769877C2semidirect
20. #23769218C2semidirect
21. #23769141C2semidirect
22. #23768745C2semidirect
23. #23768742C2semidirect
24. #23767704C2semidirect
25. #23767701C2semidirect
26. #23766795C2semidirect
27. #23766795C2semidirect
28. #23766791C2semidirect
29. #23766791C2semidirect
30. #23766011C2semidirect
31. C79×#2691C2semidirect
67. #19098505C22semidirect
68. #19098504C22semidirect
69. #19098497C22semidirect
70. #19098497C22semidirect
71. #19098497C22semidirect
72. #19098496C22semidirect
73. #19098496C22semidirect
74. #19098496C22semidirect
75. #19098495C22semidirect
76. #19098495C22semidirect
77. #19098494C22semidirect
78. #19098494C22semidirect
79. #19098493C22semidirect
80. #19098493C22semidirect
81. #19098493C22semidirect
86. #19098491C22semidirect
87. #19098491C22semidirect
92. #19098488C22semidirect
93. #19098486C22semidirect
94. #19098486C22semidirect
95. #19098486C22semidirect
96. #19098486C22semidirect
97. #19098486C22semidirect
98. #19098486C22semidirect
99. #19098486C22semidirect
100. #19098484C22semidirect
101. #19098483C22semidirect
108. #19098477C22semidirect
109. #19098467C22semidirect
110. #19098467C22semidirect
111. #19098466C22semidirect
112. #19098462C22semidirect
113. #19098462C22semidirect
114. #19098461C22semidirect
115. #19098460C22semidirect
116. #19098460C22semidirect
117. #19098460C22semidirect
118. #19098459C22semidirect
119. #19098458C22semidirect
120. #19098457C22semidirect
121. #19098457C22semidirect
122. #19098456C22semidirect
123. #19098456C22semidirect
124. #19098449C22semidirect
125. #19098448C22semidirect
126. #19098448C22semidirect
127. #19098447C22semidirect
128. #19098445C22semidirect
129. #19098444C22semidirect
130. #19098444C22semidirect
142. #19098438C22semidirect
148. #19098436C22semidirect
150. #19098435C22semidirect
161. #19098423C22semidirect
168. #19098421C22semidirect
169. #19098421C22semidirect
176. #398×C79C22semidirect
177. #397×C79C22semidirect
178. #396×C79C22semidirect
181. #394×C79C22semidirect
182. #390×C79C22semidirect
183. #387×C79C22semidirect
187. #385×C79C22semidirect
188. #380×C79C22semidirect
813. #2691D79semidirect
825. C79#36960semidirect
878. #398C2×D79semidirect
890. #397C2×D79semidirect
898. #396C2×D79semidirect
910. #394C2×D79semidirect
914. #390C2×D79semidirect
934. #387C2×D79semidirect
962. #385C2×D79semidirect
982. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991452
C2×#126×D792
#237717352
#237717302
#237703112
#237703102
#237703062
#237703042
#237702182
#237702162
#237702062
#237702042
#237699392
#237699352
#237699342
#237699302
#237698862
#237698822
#237698772
#237692182
#237691412
#237687452
#237687422
#237677042
#237677012
#237667952
#237667912
#237660112
C79×#26912
#3696079