Finite Group Databasebeta

← #34500757

Subgroups — #34500757

Order 20224.

2004 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771727C211yesmaximal, characteristic, complemented
2#23771696C211yesmaximal, characteristic, complemented
3#23771329C211yesmaximal, characteristic, complemented
4#23771105C211yesmaximal, characteristic, complemented
5#23771085C211yesmaximal, characteristic, complemented
6#23771077C211yesmaximal, characteristic, complemented
7#23770093C211yesmaximal, characteristic, complemented
8#23770050C211yesmaximal, characteristic, complemented
9#23769947C211yesmaximal, characteristic, complemented
10#23769891C211yesmaximal, characteristic, complemented
11#23769776C211yesmaximal, characteristic, complemented
12#23769754C211yesmaximal, characteristic, complemented
13#23769727C211yesmaximal, characteristic, complemented
14#23769722C211yesmaximal, characteristic, complemented
15#23769696C211yesmaximal, characteristic, complemented
16#23769671C211yesmaximal, characteristic, complemented
17#23769619C211yesmaximal, characteristic, complemented
18#23769286C211yesmaximal, characteristic, complemented
19#23769257C211yesmaximal, characteristic, complemented
20#23768269C211yesmaximal, characteristic, complemented
21#23768177C211yesmaximal, characteristic, complemented
22#23768056C211yesmaximal, characteristic, complemented
23#23767521C211yesmaximal, characteristic, complemented
24#23767399C211yesmaximal, characteristic, complemented
25#23767362C211yesmaximal, characteristic, complemented
26#23767333C211yesmaximal, characteristic, complemented
27#23766939C211yesmaximal, characteristic, complemented
28#23766124C211yesmaximal, characteristic, complemented
29#23766053C211yesmaximal, characteristic, complemented
30#23765912C211yesmaximal, characteristic, complemented
31C79×#2733C211yesmaximal, characteristic, complemented
32C2×#14579157C2211yescharacteristic
33C2×#14579148C2211yescharacteristic
34C2×#14579146C2211yescharacteristic
35C2×#14579143C2211yescharacteristic, complemented
36C2×#14579142C2211yescharacteristic
37C2×#14579142C2211yescharacteristic, complemented
38C2×#14579139C2211yescharacteristic
39C2×#14579138C2211yescharacteristic, complemented
40C2×#14579137C2211yescharacteristic, complemented
41C2×#14579134C2211yescharacteristic
42C2×#14579134C2211yescharacteristic
43C2×#14579133C2211yescharacteristic
44C2×#14579133C2211yescharacteristic
45C2×#14579132C2211yescharacteristic
46C2×#14579132C2211yescharacteristic
47C2×#14579131C2211yescharacteristic
48C2×#14579129C2211yescharacteristic
49C2×#14579129C2211yescharacteristic
50C2×#14579129C2211yescharacteristic
51C2×D4×Dic79C2211yescharacteristic, complemented
52C2×#14579123C2211yescharacteristic
53C2×(C22⋊D79)⋊C4C2211yescharacteristic
54C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
55C2×C22⋊C4×D79C2211yescharacteristic
56C2×C42×D79C2211yescharacteristic, complemented
57#19098505C2211yescharacteristic, complemented
58#19098504C2211yescharacteristic, complemented
59#19098502C2211yescharacteristic, complemented
60#19098498C2211yescharacteristic, complemented
61#19098497C2211yescharacteristic, complemented
62#19098496C2211yescharacteristic, complemented
63#19098492C2211yescharacteristic
64#19098491C2211yescharacteristic
65#19098491C2211yescharacteristic
66#19098491C2211yescharacteristic
67#19098491C2211yescharacteristic, complemented
68#19098489C2211yescharacteristic
69#19098487C2211yescharacteristic
70#19098486C2211yescharacteristic
71#19098486C2211yescharacteristic
72#19098486C2211yescharacteristic, complemented
73#19098484C2211yescharacteristic, complemented
74#19098479C2211yescharacteristic
75#19098479C2211yescharacteristic
76#19098479C2211yescharacteristic
77#19098478C2211yescharacteristic
78#19098478C2211yescharacteristic
79#19098478C2211yescharacteristic
80#19098478C2211yescharacteristic
81#19098478C2211yescharacteristic
82#19098478C2211yescharacteristic
83#19098478C2211yescharacteristic
84#19098477C2211yescharacteristic
85#19098477C2211yescharacteristic, complemented
86#19098476C2211yescharacteristic
87#19098476C2211yescharacteristic, complemented
88#19098475C2211yescharacteristic, complemented
89#19098474C2211yescharacteristic
90#19098474C2211yescharacteristic
91#19098472C2211yescharacteristic
92#19098472C2211yescharacteristic
93#19098471C2211yescharacteristic
94#19098471C2211yescharacteristic
95#19098471C2211yescharacteristic
96#19098471C2211yescharacteristic
97#19098471C2211yescharacteristic, complemented
98#19098471C2211yescharacteristic, complemented
99#19098470C2211yescharacteristic, complemented
100#19098466C2211yescharacteristic
101#19098465C2211yescharacteristic
102#19098465C2211yescharacteristic
103#19098463C2211yescharacteristic
104#19098463C2211yescharacteristic
105#19098463C2211yescharacteristic
106#19098463C2211yescharacteristic
107#19098460C2211yescharacteristic, complemented
108#19098458C2211yescharacteristic, complemented
109#19098458C2211yescharacteristic, complemented
110#19098457C2211yescharacteristic, complemented
111#19098457C2211yescharacteristic, complemented
112#19098456C2211yescharacteristic
113#19098456C2211yescharacteristic, complemented
114#19098455C2211yescharacteristic
115#19098455C2211yescharacteristic
116#19098454C2211yescharacteristic
117#19098454C2211yescharacteristic
118#19098454C2211yescharacteristic
119#19098453C2211yescharacteristic
120#19098453C2211yescharacteristic
121#19098452C2211yescharacteristic
122#19098451C2211yescharacteristic
123#19098451C2211yescharacteristic
124#19098451C2211yescharacteristic
125#19098451C2211yescharacteristic, complemented
126#19098451C2211yescharacteristic, complemented
127#19098451C2211yescharacteristic, complemented
128#19098451C2211yescharacteristic, complemented
129#19098451C2211yescharacteristic, complemented
130#19098448C2211yescharacteristic, complemented
131#19098447C2211yescharacteristic, complemented
132#19098447C2211yescharacteristic, complemented
133#19098447C2211yescharacteristic, complemented
134#19098443C2211yescharacteristic
135#19098443C2211yescharacteristic
136#19098443C2211yescharacteristic, complemented
137#19098441C2211yescharacteristic
138#19098441C2211yescharacteristic
139#19098441C2211yescharacteristic
140#19098440C2211yescharacteristic
141#19098440C2211yescharacteristic
142#19098440C2211yescharacteristic
143#19098440C2211yescharacteristic, complemented
144#19098440C2211yescharacteristic, complemented
145#19098439C2211yescharacteristic
146#19098439C2211yescharacteristic
147#19098439C2211yescharacteristic
148#19098439C2211yescharacteristic
149#19098439C2211yescharacteristic
150#19098439C2211yescharacteristic, complemented
151#19098439C2211yescharacteristic, complemented
152#19098439C2211yescharacteristic, complemented
153#19098439C2211yescharacteristic, complemented
154#19098438C2211yescharacteristic, complemented
155#19098437C2211yescharacteristic
156#19098437C2211yescharacteristic
157#19098435C2211yescharacteristic, complemented
158#19098430C2211yescharacteristic, complemented
159#19098429C2211yescharacteristic, complemented
160#19098428C2211yescharacteristic, complemented
161#19098427C2211yescharacteristic, complemented
162#19098424C2211yescharacteristic, complemented
163#19098422C2211yescharacteristic, complemented
164#19098422C2211yescharacteristic, complemented
165#19098418C2211yescharacteristic
166#19098418C2211yescharacteristic
167#19098414C2211yescharacteristic, complemented
168C22⋊C4×Dic79C2211yescharacteristic, complemented
169C4×(C2×D79)⋊C4C2211yescharacteristic
170#19098410C2211yescharacteristic
171#19098409C2211yescharacteristic, complemented
172C2×#124×C79C2211yescharacteristic
173C2×#124×C79C2211yescharacteristic, complemented
174#394×C79C2211yescharacteristic
175#394×C79C2211yescharacteristic, complemented
176#392×C79C2211yescharacteristic
177#392×C79C2211yescharacteristic
178#392×C79C2211yescharacteristic
179#392×C79C2211yescharacteristic, complemented
180#391×C79C2211yescharacteristic, complemented
181#390×C79C2211yescharacteristic
182#390×C79C2211yescharacteristic, complemented
183#388×C79C2211yescharacteristic
184#388×C79C2211yescharacteristic, complemented
185#388×C79C2211yescharacteristic, complemented
186#388×C79C2211yescharacteristic, complemented
187C24×D79C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209#14579157—24no—
210#14579148—42no—
211#14579146—42no—
212#14579143—42no—
213#14579142—42no—
214#14579142—42no—
215#14579139—42no—
216#14579138—42no—
217#14579137—42no—
218#14579134—24no—
219#14579134—42no—
220#14579133—42no—
221#14579133—42no—
222#14579132—42no—
223#14579132—42no—
224#14579131—24no—
225#14579129—42no—
226#14579129—42no—
227#14579129—42no—
228D4×Dic79—42no—
229#14579123—42no—
230(C22⋊D79)⋊C4—42no—
231(C22⋊D79)⋊C4—42no—
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C22⋊C4×D79—42no—
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
301C42×D79—42no—
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
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
332C22×Q8×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336C22×D4×C79C2311yescharacteristic
337C22×D4×C79C2311yescharacteristic
338C22×D4×C79C2311yescharacteristic
339#124×C79—42no—
340#124×C79—42no—
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C42×C79C2311yescharacteristic
361C2×C42×C79C2311yescharacteristic
362C2×C42×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79—22no—
370C23×D79—41no—
371C23×D79—41no—
372C23×D79—41no—
373C23×D79—41no—
374C23×D79—41no—
375C23×D79—41no—
376C23×D79C2411yescharacteristic
377C23×D79C2411yescharacteristic
378C23×D79C2411yescharacteristic
379C2×Dic158—41no—
380C2×Dic158—41no—
381C2×Dic158—41no—
382C2×D316—22no—
383C2×D316—41no—
384C2×D316—41no—
385C2×D316—41no—
386C2×D316—41no—
387C2×D316#4114yes—
388C2×C22⋊D79—22no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—22no—
392C2×C22⋊D79—22no—
393C2×C22⋊D79—22no—
394C2×C22⋊D79—22no—
395C2×C22⋊D79—22no—
396C2×C22⋊D79—22no—
397C2×C22⋊D79—41no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C2×C22⋊D79—41no—
405C2×C22⋊D79—41no—
406C2×C22⋊D79—41no—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
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—
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×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C2×C4×D79—22no—
441C2×C4×D79—22no—
442C2×C4×D79—22no—
443C2×C4×D79—22no—
444C2×C4×D79—22no—
445C2×C4×D79—22no—
446C2×C4×D79—41no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C2×C4×D79—41no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—41no—
455C4⋊Dic79—22no—
456C4⋊Dic79—41no—
457C4⋊Dic79—41no—
458C4⋊Dic79—41no—
459C4⋊Dic79—41no—
460Dic79⋊C4—22no—
461Dic79⋊C4—22no—
462Dic79⋊C4—22no—
463Dic79⋊C4—22no—
464Dic79⋊C4—22no—
465Dic79⋊C4—22no—
466Dic79⋊C4—41no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473Dic79⋊C4—41no—
474C22⋊Dic79—22no—
475C22⋊Dic79—22no—
476C22⋊Dic79—22no—
477C22⋊Dic79—22no—
478C22⋊Dic79—22no—
479C22⋊Dic79—22no—
480C22⋊Dic79—22no—
481C22⋊Dic79—22no—
482C22⋊Dic79—22no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—22no—
496(C2×D79)⋊C4—22no—
497(C2×D79)⋊C4—22no—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—22no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
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—
516C4×Dic79—22no—
517C4×Dic79—22no—
518C4×Dic79—22no—
519C4×Dic79—22no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C4×Dic79—41no—
523C24×C79C2411yescharacteristic
524C24×C79C2411yescharacteristic
525C24×C79C2411yescharacteristic
526C24×C79C2411yescharacteristic
527C2×Q8×C79—22no—
528C2×Q8×C79—41no—
529C2×Q8×C79—41no—
530C2×D4×C79—22no—
531C2×D4×C79—22no—
532C2×D4×C79—41no—
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—
541C2×D4×C79—41no—
542C2×D4×C79—41no—
543C2×D4×C79—41no—
544C2×D4×C79—41no—
545C2×D4×C79—41no—
546C2×D4×C79—41no—
547C2×D4×C79—41no—
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C4⋊C4×C79—41no—
560C4⋊C4×C79—41no—
561C4⋊C4×C79—41no—
562C22⋊C4×C79—22no—
563C22⋊C4×C79—22no—
564C22⋊C4×C79—22no—
565C22⋊C4×C79—22no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
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—
578C42×C79—22no—
579C42×C79—41no—
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×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79C2511yescharacteristic
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—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—44no—
630C22×D79—82no—
631C22×D79—82no—
632C22×D79—82no—
633C22×D79—82no—
634C22×D79—82no—
635C22×D79—82no—
636C22×D79C2×#4112yes—
637C22×D79C2×#4112yes—
638Q8×C79—82no—
639D4×C79—44no—
640D4×C79—82no—
641D4×C79—82no—
642D4×C79—82no—
643D4×C79—82no—
644D4×C79—82no—
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—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79C2×#4112yes—
677C2×C4×C79H(5,𝔽2)12yes—
678C22⋊D79—44no—
679C22⋊D79—44no—
680C22⋊D79—82no—
681C22⋊D79—82no—
682C22⋊D79—82no—
683C22⋊D79—82no—
684C22⋊D79—82no—
685C22⋊D79—82no—
686C22⋊D79—82no—
687C22⋊D79—82no—
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—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—82no—
725C2×Dic79—82no—
726C2×Dic79—82no—
727C2×Dic79H(5,𝔽2)12yes—
728C2×Dic79H(5,𝔽2)12yes—
729C2×Dic79H(5,𝔽2)12yes—
730D316—44no—
731D316—82no—
732C4×D79—44no—
733C4×D79—44no—
734C4×D79—44no—
735C4×D79—82no—
736C4×D79—82no—
737Dic158—82no—
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×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—41no—
758C22×C79—41no—
759C22×C79—41no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79—41no—
765C22×C79—41no—
766C22×C79C22×#4111yescharacteristic
767C22×C79C2×H(5,𝔽2)11yescharacteristic
768C22×C79C2×H(5,𝔽2)11yescharacteristic
769C22×C79C2×H(5,𝔽2)11yescharacteristic
770C22×C79C2×H(5,𝔽2)11yescharacteristic
771C22×C79#58511yescharacteristic
772C22×C79#58511yescharacteristic
773C2×D79—22no—
774C2×D79—22no—
775C2×D79—22no—
776C2×D79—22no—
777C2×D79—22no—
778C2×D79—22no—
779C2×D79—41no—
780C2×D79—41no—
781C2×D79—41no—
782C2×D79—41no—
783C2×D79—41no—
784C2×D79—41no—
785C2×D79—41no—
786C2×D79—41no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—88no—
795C4×C79—22no—
796C4×C79—22no—
797C4×C79—41no—
798C4×C79—41no—
799C4×C79—41no—
800C4×C79—41no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806Dic79—22no—
807Dic79—22no—
808Dic79—22no—
809Dic79—41no—
810Dic79—41no—
811Dic79—41no—
812Dic79—41no—
813Dic79—41no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819#36918—791nomaximal, Sylow
820C2×C79—81no—
821C2×C79—81no—
822C2×C79—81no—
823C2×C79—81no—
824C2×C79#345911yescharacteristic
825C2×C79#351411yescharacteristic
826C2×C79#351911yescharacteristic
827C2×C79#353411yescharacteristic
828C2×C79#354211yescharacteristic
829C2×C79#354911yescharacteristic
830C2×C79#356211yescharacteristic
831D79—42no—
832D79—42no—
833D79—81no—
834#2854—791no—
835#2850—791no—
836#2803—791no—
837#2785—791no—
838#2783—791no—
839#2782—791no—
840#2733D7911yescharacteristic, complemented
841#2706—791no—
842#2703—791no—
843#2696—791no—
844#2692—791no—
845#2684—791no—
846#2681—791no—
847#2678—791no—
848#2678—791no—
849#2676—791no—
850#2673—791no—
851#2669—791no—
852#2635—791no—
853#2631—791no—
854#2532—791no—
855#2526—791no—
856#2518—791no—
857#2472—791no—
858#2464—791no—
859#2461—791no—
860#2459—791no—
861#2424—791no—
862#2328—791no—
863#2321—791no—
864C4×#121—791no—
865C79#3691811yescharacteristic, complemented, Sylow
866C2×#127—791no—
867C2×#124—791no—
868C2×#124C2×D7911yescharacteristic
869C2×#124C2×D7911yescharacteristic, complemented
870C2×#123—791no—
871C2×#123—791no—
872C2×#123—791no—
873C2×#123—791no—
874C2×C22⋊Q8—791no—
875C2×C22⋊Q8—791no—
876C2×C22⋊Q8—791no—
877C2×#121—791no—
878C2×#121—791no—
879C2×#121—791no—
880C2×#121—791no—
881C2×#121—791no—
882C2×#121—791no—
883C2×#120—791no—
884C2×#120—791no—
885C2×#120—791no—
886C2×#120—791no—
887C2×C4×D4—791no—
888C2×C4×D4—791no—
889C2×C4×D4—791no—
890C2×C4×D4—791no—
891C22×C22⋊C4—791no—
892C22×C42—791no—
893#400—791no—
894#400—791no—
895#400—791no—
896#399—791no—
897#398—791no—
898#398—791no—
899#397—791no—
900#397—791no—
901#397—791no—
902#397—791no—
903#397—791no—
904#397—791no—
905#396—791no—
906#396—791no—
907#396—791no—
908#396—791no—
909#395—791no—
910#394—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#394C2×D7911yescharacteristic
923#394C2×D7911yescharacteristic, complemented
924#393—791no—
925#393—791no—
926#393—791no—
927#393—791no—
928#393—791no—
929#392—791no—
930#392—791no—
931#392—791no—
932#392—791no—
933#392—791no—
934#392—791no—
935#392—791no—
936#392—791no—
937#392C2×D7911yescharacteristic
938#392C2×D7911yescharacteristic
939#392C2×D7911yescharacteristic
940#392C2×D7911yescharacteristic, complemented
941#391—791no—
942#391C2×D7911yescharacteristic, complemented
943#390—791no—
944#390—791no—
945#390—791no—
946#390—791no—
947#390—791no—
948#390—791no—
949#390—791no—
950#390C2×D7911yescharacteristic
951#390C2×D7911yescharacteristic, complemented
952#389—791no—
953#389—791no—
954#389—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#388—791no—
973#388—791no—
974#388—791no—
975#388C2×D7911yescharacteristic
976#388C2×D7911yescharacteristic, complemented
977#388C2×D7911yescharacteristic, complemented
978#388C2×D7911yescharacteristic, complemented
979#387—791no—
980#387—791no—
981#387—791no—
982#387—791no—
983#386—791no—
984#386—791no—
985#386—791no—
986#386—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#386—791no—
991#386—791no—
992#386—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386—791no—
997#386—791no—
998#386—791no—
999#386—791no—
1000#386—791no—
1001#386—791no—
1002#386—791no—
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#383—791no—
1008#382—791no—
1009#382—791no—
1010#382—791no—
1011#381—791no—
1012#380—791no—
1013#380—791no—
1014#379—791no—
1015#379—791no—
1016C4×C4⋊C4—791no—
1017C4×C22⋊C4—791no—
1018C4×C22⋊C4—791no—
1019C4×C22⋊C4—791no—
1020#376—791no—
1021C25—791no—
1022C22×Q8—791no—
1023C22×Q8C22×D7911yescharacteristic
1024C22×D4—791no—
1025C22×D4—791no—
1026C22×D4—791no—
1027C22×D4—791no—
1028C22×D4—791no—
1029C22×D4—791no—
1030C22×D4—791no—
1031C22×D4—791no—
1032C22×D4—791no—
1033C22×D4—791no—
1034C22×D4—791no—
1035C22×D4—791no—
1036C22×D4C22×D7911yescharacteristic
1037C22×D4C22×D7911yescharacteristic
1038C22×D4C22×D7911yescharacteristic
1039C22×D4C22×D7911yescharacteristic
1040C22×D4C22×D7911yescharacteristic
1041C22×D4C22×D7911yescharacteristic
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4—791no—
1046C23×C4—791no—
1047C23×C4—791no—
1048C23×C4—791no—
1049C23×C4—791no—
1050#127—1584no—
1051#124—42no—
1052#124—42no—
1053#124—3162no—
1054#123—3162no—
1055#123—3162no—
1056#123—3162no—
1057#123—3162no—
1058C22⋊Q8—3162no—
1059C22⋊Q8—3162no—
1060C22⋊Q8—3162no—
1061#121—3162no—
1062#121—3162no—
1063#121—3162no—
1064#121—3162no—
1065#121—3162no—
1066#121—1584no—
1067#120—3162no—
1068#120—3162no—
1069#120—3162no—
1070#120—1584no—
1071C4×D4—3162no—
1072C4×D4—3162no—
1073C4×D4—3162no—
1074C4×D4—3162no—
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⋊C4C22×D7911yescharacteristic
1095C2×C4⋊C4C22×D7911yescharacteristic
1096C2×C4⋊C4C22×D7911yescharacteristic
1097C2×C22⋊C4—3162no—
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—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—791no—
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×C22⋊C4C22×D7911yescharacteristic
1152C2×C22⋊C4C22×D7911yescharacteristic
1153C2×C22⋊C4C22×D7911yescharacteristic
1154C2×C22⋊C4C22×D7911yescharacteristic
1155C2×C22⋊C4C22×D7911yescharacteristic
1156C2×C42—3162no—
1157C2×C42—791no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42—791no—
1162C2×C42—791no—
1163C2×C42—791no—
1164C2×C42C22×D7911yescharacteristic
1165C2×C42C22×D7911yescharacteristic
1166C2×C42C22×D7911yescharacteristic
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#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197#95C22×D7911yescharacteristic
1198#95C22×D7911yescharacteristic
1199#95C22×D7911yescharacteristic
1200#95C22×D7911yescharacteristic
1201#95C22×D7911yescharacteristic
1202#95C22×D7911yescharacteristic
1203C24—3161no—
1204C24—3161no—
1205C24—3161no—
1206C24—3161no—
1207C24—3161no—
1208C24—3161no—
1209C24—791no—
1210C24—791no—
1211C24—791no—
1212C24—1582no—
1213C24C23×D7911yescharacteristic
1214C24C23×D7911yescharacteristic
1215C24C23×D7911yescharacteristic
1216C24C23×D7911yescharacteristic
1217C2×Q8—22no—
1218C2×Q8—41no—
1219C2×Q8—41no—
1220C2×Q8—3161no—
1221C2×Q8—3161no—
1222C2×Q8—3161no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—3161no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—3161no—
1250C2×D4—3161no—
1251C2×D4—3161no—
1252C2×D4—3161no—
1253C2×D4—3161no—
1254C2×D4—3161no—
1255C2×D4—3161no—
1256C2×D4—3161no—
1257C2×D4—3161no—
1258C2×D4—3161no—
1259C2×D4—3161no—
1260C2×D4—3161no—
1261C2×D4—3161no—
1262C2×D4—3161no—
1263C2×D4—3161no—
1264C2×D4—3161no—
1265C2×D4—3161no—
1266C2×D4—794no—
1267C2×D4—1582no—
1268C2×D4—1582no—
1269C2×D4—1582no—
1270C2×D4—1582no—
1271C2×D4—1582no—
1272C2×D4—1582no—
1273C2×D4—1582no—
1274C2×D4—1582no—
1275C2×D4—1582no—
1276C2×D4—1582no—
1277C22×C4—3161no—
1278C22×C4—3161no—
1279C22×C4—3161no—
1280C22×C4—3161no—
1281C22×C4—3161no—
1282C22×C4—3161no—
1283C22×C4—3161no—
1284C22×C4—3161no—
1285C22×C4—3161no—
1286C22×C4—3161no—
1287C22×C4—3161no—
1288C22×C4—3161no—
1289C22×C4—3161no—
1290C22×C4—3161no—
1291C22×C4—3161no—
1292C22×C4—3161no—
1293C22×C4—3161no—
1294C22×C4—791no—
1295C22×C4—791no—
1296C22×C4—791no—
1297C22×C4—791no—
1298C22×C4—791no—
1299C22×C4—791no—
1300C22×C4—791no—
1301C22×C4—791no—
1302C22×C4—791no—
1303C22×C4—791no—
1304C22×C4—791no—
1305C22×C4—791no—
1306C22×C4—791no—
1307C22×C4—1582no—
1308C22×C4—1582no—
1309C22×C4—1582no—
1310C22×C4—1582no—
1311C22×C4—1582no—
1312C22×C4—1582no—
1313C22×C4—1582no—
1314C22×C4C23×D7911yescharacteristic
1315C22×C4C23×D7911yescharacteristic
1316C22×C4C23×D7911yescharacteristic
1317C22×C4C23×D7911yescharacteristic
1318C22×C4C23×D7911yescharacteristic
1319C22×C4C23×D7911yescharacteristic
1320C22×C4C23×D7911yescharacteristic
1321C22×C4C23×D7911yescharacteristic
1322C22×C4C23×D7911yescharacteristic
1323C22×C4C23×D7911yescharacteristic
1324C22×C4C23×D7911yescharacteristic
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—3161no—
1329C4⋊C4—3161no—
1330C4⋊C4—3161no—
1331C4⋊C4—3161no—
1332C4⋊C4—3161no—
1333C4⋊C4—3161no—
1334C4⋊C4—3161no—
1335C4⋊C4—3161no—
1336C4⋊C4—3161no—
1337C4⋊C4—3161no—
1338C4⋊C4—3161no—
1339C4⋊C4—3161no—
1340C4⋊C4—1582no—
1341C4⋊C4—1582no—
1342C4⋊C4—1582no—
1343C4⋊C4—1582no—
1344C4⋊C4—1582no—
1345C4⋊C4—1582no—
1346C4⋊C4—1582no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
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—3161no—
1372C22⋊C4—3161no—
1373C22⋊C4—3161no—
1374C22⋊C4—3161no—
1375C22⋊C4—3161no—
1376C22⋊C4—3161no—
1377C22⋊C4—3161no—
1378C22⋊C4—3161no—
1379C22⋊C4—3161no—
1380C22⋊C4—3161no—
1381C22⋊C4—3161no—
1382C22⋊C4—3161no—
1383C22⋊C4—3161no—
1384C22⋊C4—3161no—
1385C22⋊C4—3161no—
1386C22⋊C4—3161no—
1387C22⋊C4—3161no—
1388C22⋊C4—1582no—
1389C22⋊C4—1582no—
1390C22⋊C4—1582no—
1391C22⋊C4—1582no—
1392C22⋊C4—1582no—
1393C22⋊C4—1582no—
1394C22⋊C4—1582no—
1395C22⋊C4—1582no—
1396C22⋊C4—1582no—
1397C22⋊C4—1582no—
1398C22⋊C4—1582no—
1399C22⋊C4—1582no—
1400C22⋊C4—1582no—
1401C22⋊C4—1582no—
1402C22⋊C4—1582no—
1403C22⋊C4—1582no—
1404C22⋊C4—1582no—
1405C42—22no—
1406C42—41no—
1407C42—41no—
1408C42—3161no—
1409C42—3161no—
1410C42—3161no—
1411C42—1582no—
1412C42—1582no—
1413C42—1582no—
1414C42—1582no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—3164no—
1444C23—792no—
1445C23—792no—
1446C23—6322no—
1447C23—6322no—
1448C23—6322no—
1449C23—6322no—
1450C23—6322no—
1451C23—6322no—
1452C23—1581no—
1453C23—1581no—
1454C23—1581no—
1455C23—1581no—
1456C23—1581no—
1457C23—1581no—
1458C23—1581no—
1459C23—1581no—
1460C23—1581no—
1461C23—1581no—
1462C23—1581no—
1463C23—1581no—
1464C23—1581no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23—1581no—
1470C23—1581no—
1471C23C24×D7911yescharacteristic
1472Q8—82no—
1473Q8—6322no—
1474D4—44no—
1475D4—82no—
1476D4—82no—
1477D4—82no—
1478D4—82no—
1479D4—82no—
1480D4—3164no—
1481D4—3164no—
1482D4—3164no—
1483D4—6322no—
1484D4—6322no—
1485D4—6322no—
1486D4—6322no—
1487D4—6322no—
1488D4—6322no—
1489D4—6322no—
1490D4—6322no—
1491D4—6322no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—3164no—
1524C2×C4—3164no—
1525C2×C4—3164no—
1526C2×C4—792no—
1527C2×C4—792no—
1528C2×C4—792no—
1529C2×C4—6322no—
1530C2×C4—6322no—
1531C2×C4—6322no—
1532C2×C4—6322no—
1533C2×C4—6322no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4—1581no—
1542C2×C4—1581no—
1543C2×C4—1581no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4—1581no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1581no—
1568C2×C4—1581no—
1569C2×C4—1581no—
1570C2×C4#41×D7912yes—
1571C2×C4#1457920612yes—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—3161no—
1601C22—3161no—
1602C22—3161no—
1603C22—3161no—
1604C22—3161no—
1605C22—3161no—
1606C22—3161no—
1607C22—3161no—
1608C22—3161no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
1615C22—6328no—
1616C22—1582no—
1617C22—1582no—
1618C22—1582no—
1619C22—1582no—
1620C22—1582no—
1621C22—1582no—
1622C22C2×#41×D7911yescharacteristic
1623C22H(5,𝔽2)×D7911yescharacteristic
1624C22H(5,𝔽2)×D7911yescharacteristic
1625C22H(5,𝔽2)×D7911yescharacteristic
1626C22C2×#1457920611yescharacteristic
1627C22#1909939811yescharacteristic
1628C22#1909939911yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—3161no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—3161no—
1650C4—1582no—
1651C4—1582no—
1652C4—1582no—
1653C2—81no—
1654C2—81no—
1655C2—81no—
1656C2—81no—
1657C2—3162no—
1658C2—3162no—
1659C2—6321no—
1660C2#2377681111yescharacteristic
1661C2#2377735711yescharacteristic
1662C2#2377743111yescharacteristic
1663C2#2377758011yescharacteristic
1664C2#2377770611yescharacteristic
1665C2#2377780411yescharacteristic
1666C2#2377797511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2733C2
hypercenter#2733D79
hypocenterC79#36918
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2733

Complements

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

NH ≅ G/Ntype
1. #23771727C2semidirect
2. #23771696C2semidirect
3. #23771329C2semidirect
4. #23771105C2semidirect
5. #23771085C2semidirect
6. #23771077C2semidirect
7. #23770093C2semidirect
8. #23770050C2semidirect
9. #23769947C2semidirect
10. #23769891C2semidirect
11. #23769776C2semidirect
12. #23769754C2semidirect
13. #23769727C2semidirect
14. #23769722C2semidirect
15. #23769696C2semidirect
16. #23769671C2semidirect
17. #23769619C2semidirect
18. #23769286C2semidirect
19. #23769257C2semidirect
20. #23768269C2semidirect
21. #23768177C2semidirect
22. #23768056C2semidirect
23. #23767521C2semidirect
24. #23767399C2semidirect
25. #23767362C2semidirect
26. #23767333C2semidirect
27. #23766939C2semidirect
28. #23766124C2semidirect
29. #23766053C2semidirect
30. #23765912C2semidirect
31. C79×#2733C2semidirect
35. C2×#14579143C22semidirect
37. C2×#14579142C22semidirect
39. C2×#14579138C22semidirect
40. C2×#14579137C22semidirect
51. C2×D4×Dic79C22semidirect
54. C2×(C22⋊D79)⋊C4C22semidirect
56. C2×C42×D79C22semidirect
57. #19098505C22semidirect
58. #19098504C22semidirect
59. #19098502C22semidirect
60. #19098498C22semidirect
61. #19098497C22semidirect
62. #19098496C22semidirect
67. #19098491C22semidirect
72. #19098486C22semidirect
73. #19098484C22semidirect
85. #19098477C22semidirect
87. #19098476C22semidirect
88. #19098475C22semidirect
97. #19098471C22semidirect
98. #19098471C22semidirect
99. #19098470C22semidirect
107. #19098460C22semidirect
108. #19098458C22semidirect
109. #19098458C22semidirect
110. #19098457C22semidirect
111. #19098457C22semidirect
113. #19098456C22semidirect
125. #19098451C22semidirect
126. #19098451C22semidirect
127. #19098451C22semidirect
128. #19098451C22semidirect
129. #19098451C22semidirect
130. #19098448C22semidirect
131. #19098447C22semidirect
132. #19098447C22semidirect
133. #19098447C22semidirect
136. #19098443C22semidirect
143. #19098440C22semidirect
144. #19098440C22semidirect
150. #19098439C22semidirect
151. #19098439C22semidirect
152. #19098439C22semidirect
153. #19098439C22semidirect
154. #19098438C22semidirect
157. #19098435C22semidirect
158. #19098430C22semidirect
159. #19098429C22semidirect
160. #19098428C22semidirect
161. #19098427C22semidirect
162. #19098424C22semidirect
163. #19098422C22semidirect
164. #19098422C22semidirect
167. #19098414C22semidirect
168. C22⋊C4×Dic79C22semidirect
171. #19098409C22semidirect
173. C2×#124×C79C22semidirect
175. #394×C79C22semidirect
179. #392×C79C22semidirect
180. #391×C79C22semidirect
182. #390×C79C22semidirect
184. #388×C79C22semidirect
185. #388×C79C22semidirect
186. #388×C79C22semidirect
840. #2733D79semidirect
865. C79#36918semidirect
869. C2×#124C2×D79semidirect
923. #394C2×D79semidirect
940. #392C2×D79semidirect
942. #391C2×D79semidirect
951. #390C2×D79semidirect
976. #388C2×D79semidirect
977. #388C2×D79semidirect
978. #388C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237717272
#237716962
#237713292
#237711052
#237710852
#237710772
#237700932
#237700502
#237699472
#237698912
#237697762
#237697542
#237697272
#237697222
#237696962
#237696712
#237696192
#237692862
#237692572
#237682692
#237681772
#237680562
#237675212
#237673992
#237673622
#237673332
#237669392
#237661242
#237660532
#237659122
C79×#27332
#3691879