Finite Group Databasebeta

← #34500830

Subgroups — #34500830

Order 20224.

1992 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771743C211yesmaximal, characteristic, complemented
2#23771713C211yesmaximal, characteristic, complemented
3#23771216C211yesmaximal, characteristic, complemented
4#23770628C211yesmaximal, characteristic, complemented
5#23770455C211yesmaximal, characteristic, complemented
6#23770273C211yesmaximal, characteristic, complemented
7#23770158C211yesmaximal, characteristic, complemented
8#23770131C211yesmaximal, characteristic, complemented
9#23770077C211yesmaximal, characteristic, complemented
10#23769990C211yesmaximal, characteristic, complemented
11#23769804C211yesmaximal, characteristic, complemented
12#23769793C211yesmaximal, characteristic, complemented
13#23769718C211yesmaximal, characteristic, complemented
14#23769695C211yesmaximal, characteristic, complemented
15#23769634C211yesmaximal, characteristic, complemented
16#23769612C211yesmaximal, characteristic, complemented
17#23769606C211yesmaximal, characteristic, complemented
18#23769536C211yesmaximal, characteristic, complemented
19#23769428C211yesmaximal, characteristic, complemented
20#23768526C211yesmaximal, characteristic, complemented
21#23768470C211yesmaximal, characteristic, complemented
22#23768037C211yesmaximal, characteristic, complemented
23#23767754C211yesmaximal, characteristic, complemented
24#23767519C211yesmaximal, characteristic, complemented
25#23767456C211yesmaximal, characteristic, complemented
26#23767296C211yesmaximal, characteristic, complemented
27#23766939C211yesmaximal, characteristic, complemented
28#23766162C211yesmaximal, characteristic, complemented
29#23766056C211yesmaximal, characteristic, complemented
30#23765919C211yesmaximal, characteristic, complemented
31C79×#2688C211yesmaximal, characteristic, complemented
32C2×#14579157C2211yescharacteristic
33C2×#14579154C2211yescharacteristic
34C2×#14579154C2211yescharacteristic, complemented
35C2×#14579152C2211yescharacteristic, complemented
36C2×#14579148C2211yescharacteristic, complemented
37C2×#14579147C2211yescharacteristic
38C2×#14579145C2211yescharacteristic
39C2×#14579144C2211yescharacteristic, complemented
40C2×#14579139C2211yescharacteristic
41C2×#14579135C2211yescharacteristic
42C2×#14579135C2211yescharacteristic
43C2×#14579133C2211yescharacteristic
44C2×#14579133C2211yescharacteristic
45C2×#14579133C2211yescharacteristic, complemented
46C2×#14579133C2211yescharacteristic, complemented
47C2×#14579132C2211yescharacteristic
48C2×#14579132C2211yescharacteristic
49C2×#14579131C2211yescharacteristic
50C2×#14579129C2211yescharacteristic
51C2×#14579129C2211yescharacteristic
52C2×#14579129C2211yescharacteristic
53C2×C4×C22⋊D79C2211yescharacteristic
54C2×(C22⋊D79)⋊C4C2211yescharacteristic
55C2×C22⋊C4×D79C2211yescharacteristic
56C22×C4×Dic79C2211yescharacteristic, complemented
57#19098504C2211yescharacteristic, complemented
58#19098500C2211yescharacteristic
59#19098500C2211yescharacteristic, complemented
60#19098498C2211yescharacteristic
61#19098497C2211yescharacteristic, complemented
62#19098495C2211yescharacteristic, complemented
63#19098490C2211yescharacteristic
64#19098490C2211yescharacteristic
65#19098488C2211yescharacteristic
66#19098488C2211yescharacteristic, complemented
67#19098487C2211yescharacteristic
68#19098486C2211yescharacteristic
69#19098486C2211yescharacteristic
70#19098486C2211yescharacteristic, complemented
71#19098485C2211yescharacteristic, complemented
72#19098484C2211yescharacteristic, complemented
73#19098484C2211yescharacteristic, complemented
74#19098481C2211yescharacteristic
75#19098480C2211yescharacteristic
76#19098479C2211yescharacteristic
77#19098479C2211yescharacteristic
78#19098479C2211yescharacteristic
79#19098479C2211yescharacteristic
80#19098479C2211yescharacteristic
81#19098479C2211yescharacteristic
82#19098479C2211yescharacteristic, complemented
83#19098479C2211yescharacteristic, complemented
84#19098478C2211yescharacteristic
85#19098478C2211yescharacteristic
86#19098478C2211yescharacteristic
87#19098478C2211yescharacteristic
88#19098477C2211yescharacteristic
89#19098477C2211yescharacteristic, complemented
90#19098477C2211yescharacteristic, complemented
91#19098476C2211yescharacteristic
92#19098475C2211yescharacteristic, complemented
93#19098472C2211yescharacteristic
94#19098472C2211yescharacteristic
95#19098471C2211yescharacteristic
96#19098471C2211yescharacteristic
97#19098471C2211yescharacteristic
98#19098471C2211yescharacteristic
99#19098466C2211yescharacteristic
100#19098466C2211yescharacteristic
101#19098466C2211yescharacteristic
102#19098466C2211yescharacteristic, complemented
103#19098464C2211yescharacteristic
104#19098463C2211yescharacteristic
105#19098463C2211yescharacteristic
106#19098463C2211yescharacteristic
107#19098463C2211yescharacteristic
108#19098463C2211yescharacteristic, complemented
109#19098463C2211yescharacteristic, complemented
110#19098463C2211yescharacteristic, complemented
111#19098460C2211yescharacteristic, complemented
112#19098457C2211yescharacteristic
113#19098457C2211yescharacteristic
114#19098457C2211yescharacteristic, complemented
115#19098456C2211yescharacteristic
116#19098456C2211yescharacteristic, complemented
117#19098456C2211yescharacteristic, complemented
118#19098455C2211yescharacteristic
119#19098455C2211yescharacteristic
120#19098455C2211yescharacteristic
121#19098453C2211yescharacteristic
122#19098453C2211yescharacteristic
123#19098452C2211yescharacteristic
124#19098452C2211yescharacteristic
125#19098452C2211yescharacteristic
126#19098452C2211yescharacteristic, complemented
127#19098452C2211yescharacteristic, complemented
128#19098451C2211yescharacteristic
129#19098451C2211yescharacteristic
130#19098450C2211yescharacteristic, complemented
131#19098449C2211yescharacteristic, complemented
132#19098448C2211yescharacteristic, complemented
133#19098448C2211yescharacteristic, complemented
134#19098446C2211yescharacteristic, complemented
135#19098446C2211yescharacteristic, complemented
136#19098446C2211yescharacteristic, complemented
137#19098445C2211yescharacteristic, complemented
138#19098445C2211yescharacteristic, complemented
139#19098443C2211yescharacteristic
140#19098443C2211yescharacteristic
141#19098442C2211yescharacteristic
142#19098442C2211yescharacteristic
143#19098442C2211yescharacteristic
144#19098441C2211yescharacteristic
145#19098441C2211yescharacteristic
146#19098441C2211yescharacteristic
147#19098441C2211yescharacteristic
148#19098439C2211yescharacteristic
149#19098439C2211yescharacteristic
150#19098439C2211yescharacteristic, complemented
151#19098439C2211yescharacteristic, complemented
152#19098438C2211yescharacteristic, complemented
153#19098437C2211yescharacteristic
154#19098437C2211yescharacteristic
155#19098436C2211yescharacteristic, complemented
156#19098435C2211yescharacteristic, complemented
157#19098432C2211yescharacteristic, complemented
158#19098430C2211yescharacteristic, complemented
159#19098425C2211yescharacteristic, complemented
160#19098424C2211yescharacteristic, complemented
161#19098423C2211yescharacteristic, complemented
162#19098423C2211yescharacteristic, complemented
163#19098418C2211yescharacteristic
164#19098418C2211yescharacteristic
165C4⋊C4×Dic79C2211yescharacteristic, complemented
166C4⋊C4×Dic79C2211yescharacteristic, complemented
167C22⋊C4×Dic79C2211yescharacteristic, complemented
168C4×C22⋊Dic79C2211yescharacteristic, complemented
169#19098410C2211yescharacteristic
170#19098410C2211yescharacteristic
171#19098410C2211yescharacteristic, complemented
172C2×#121×C79C2211yescharacteristic
173C2×#121×C79C2211yescharacteristic, complemented
174#400×C79C2211yescharacteristic, complemented
175#397×C79C2211yescharacteristic
176#397×C79C2211yescharacteristic, complemented
177#394×C79C2211yescharacteristic
178#392×C79C2211yescharacteristic
179#392×C79C2211yescharacteristic
180#386×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic, complemented
183#386×C79C2211yescharacteristic, complemented
184#386×C79C2211yescharacteristic, complemented
185#385×C79C2211yescharacteristic, complemented
186#381×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
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206#14579157—42no—
207#14579154—42no—
208#14579154—42no—
209#14579152—42no—
210#14579148—42no—
211#14579147—42no—
212#14579145—24no—
213#14579144—42no—
214#14579139—42no—
215#14579135—24no—
216#14579135—42no—
217#14579133—42no—
218#14579133—42no—
219#14579133—42no—
220#14579133—42no—
221#14579132—42no—
222#14579132—42no—
223#14579131—42no—
224#14579129—24no—
225#14579129—42no—
226#14579129—42no—
227C4×C22⋊D79—42no—
228(C22⋊D79)⋊C4—42no—
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×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×C22⋊Dic79C2311yescharacteristic
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
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C22⋊C4×D79—42no—
297C2×C4×Dic79—42no—
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
301C2×C4×Dic79C2311yescharacteristic
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
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×D4×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336C22×D4×C79C2311yescharacteristic
337C22×D4×C79C2311yescharacteristic
338C23×C4×C79C2311yescharacteristic
339C23×C4×C79C2311yescharacteristic
340C23×C4×C79C2311yescharacteristic
341#121×C79—42no—
342#121×C79—42no—
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊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
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×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—22no—
384C2×D316—41no—
385C2×D316—41no—
386C2×D316—41no—
387C2×D316—41no—
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—22no—
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—22no—
420C22×Dic79—22no—
421C22×Dic79—22no—
422C22×Dic79—41no—
423C22×Dic79—41no—
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C2×C4×D79—22no—
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×D79—41no—
446C4⋊Dic79—22no—
447C4⋊Dic79—22no—
448C4⋊Dic79—22no—
449C4⋊Dic79—22no—
450C4⋊Dic79—41no—
451C4⋊Dic79—41no—
452C4⋊Dic79—41no—
453C4⋊Dic79—41no—
454C4⋊Dic79—41no—
455C4⋊Dic79—41no—
456Dic79⋊C4—22no—
457Dic79⋊C4—22no—
458Dic79⋊C4—22no—
459Dic79⋊C4—22no—
460Dic79⋊C4—41no—
461Dic79⋊C4—41no—
462Dic79⋊C4—41no—
463Dic79⋊C4—41no—
464Dic79⋊C4—41no—
465Dic79⋊C4—41no—
466Dic79⋊C4—41no—
467Dic79⋊C4—41no—
468C22⋊Dic79—22no—
469C22⋊Dic79—22no—
470C22⋊Dic79—22no—
471C22⋊Dic79—22no—
472C22⋊Dic79—22no—
473C22⋊Dic79—22no—
474C22⋊Dic79—22no—
475C22⋊Dic79—41no—
476C22⋊Dic79—41no—
477C22⋊Dic79—41no—
478C22⋊Dic79—41no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487(C2×D79)⋊C4—22no—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—22no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—41no—
495(C2×D79)⋊C4—41no—
496(C2×D79)⋊C4—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
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#4114yes—
513C4×Dic79—22no—
514C4×Dic79—22no—
515C4×Dic79—22no—
516C4×Dic79—41no—
517C4×Dic79—41no—
518C4×Dic79—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C4×Dic79—41no—
523C24×C79C2411yescharacteristic
524C24×C79C2411yescharacteristic
525C24×C79C2411yescharacteristic
526C24×C79C2411yescharacteristic
527C2×D4×C79—22no—
528C2×D4×C79—22no—
529C2×D4×C79—22no—
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—
545C22×C4×C79—22no—
546C22×C4×C79—22no—
547C22×C4×C79—41no—
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×C79C2411yescharacteristic
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
565C4⋊C4×C79—22no—
566C4⋊C4×C79—22no—
567C4⋊C4×C79—41no—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—22no—
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—
578C22⋊C4×C79—41no—
579C22⋊C4×C79—41no—
580C22⋊C4×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×C79H(5,𝔽2)12yes—
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—21no—
630C22×D79—44no—
631C22×D79—82no—
632C22×D79—82no—
633C22×D79—82no—
634C22×D79—82no—
635C22×D79—82no—
636C22×D79—82no—
637C22×D79C2×#4112yes—
638D4×C79—82no—
639D4×C79—82no—
640D4×C79—82no—
641D4×C79—82no—
642D4×C79—82no—
643D4×C79—82no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—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—44no—
676C2×C4×C79—82no—
677C2×C4×C79—82no—
678C2×C4×C79C2×#4112yes—
679C2×C4×C79H(5,𝔽2)12yes—
680C22⋊D79—44no—
681C22⋊D79—44no—
682C22⋊D79—82no—
683C22⋊D79—82no—
684C22⋊D79—82no—
685C22⋊D79—82no—
686C22⋊D79—82no—
687C22⋊D79—82no—
688C22⋊D79—82no—
689C22⋊D79—82no—
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—21no—
725C2×Dic79—21no—
726C2×Dic79—44no—
727C2×Dic79—44no—
728C2×Dic79C2×#4112yes—
729C2×Dic79H(5,𝔽2)12yes—
730C2×Dic79H(5,𝔽2)12yes—
731D316—82no—
732D316—82no—
733C4×D79—82no—
734C4×D79—82no—
735C4×D79—82no—
736Dic158—82no—
737C22×C79—22no—
738C22×C79—22no—
739C22×C79—22no—
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×C79C22×#4111yescharacteristic
766C22×C79C2×H(5,𝔽2)11yescharacteristic
767C22×C79C2×H(5,𝔽2)11yescharacteristic
768C22×C79C2×H(5,𝔽2)11yescharacteristic
769C22×C79C2×H(5,𝔽2)11yescharacteristic
770C22×C79#58511yescharacteristic
771C22×C79#58511yescharacteristic
772C2×D79—22no—
773C2×D79—22no—
774C2×D79—22no—
775C2×D79—41no—
776C2×D79—41no—
777C2×D79—41no—
778C2×D79—41no—
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—88no—
794C4×C79—22no—
795C4×C79—22no—
796C4×C79—41no—
797C4×C79—41no—
798C4×C79—41no—
799C4×C79—41no—
800C4×C79—41no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805Dic79—22no—
806Dic79—22no—
807Dic79—22no—
808Dic79—41no—
809Dic79—41no—
810Dic79—41no—
811Dic79—41no—
812Dic79—41no—
813Dic79—41no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818#36921—791nomaximal, Sylow
819C2×C79—42no—
820C2×C79—81no—
821C2×C79—81no—
822C2×C79—81no—
823C2×C79#346011yescharacteristic
824C2×C79#351411yescharacteristic
825C2×C79#351911yescharacteristic
826C2×C79#353411yescharacteristic
827C2×C79#354211yescharacteristic
828C2×C79#354311yescharacteristic
829C2×C79#356011yescharacteristic
830D79—42no—
831D79—81no—
832D79—81no—
833#2856—791no—
834#2852—791no—
835#2793—791no—
836#2749—791no—
837#2737—791no—
838#2720—791no—
839#2711—791no—
840#2709—791no—
841#2705—791no—
842#2699—791no—
843#2688D7911yescharacteristic, complemented
844#2686—791no—
845#2685—791no—
846#2678—791no—
847#2676—791no—
848#2671—791no—
849#2669—791no—
850#2668—791no—
851#2662—791no—
852#2651—791no—
853#2559—791no—
854#2555—791no—
855#2516—791no—
856#2490—791no—
857#2472—791no—
858#2467—791no—
859#2456—791no—
860#2424—791no—
861#2333—791no—
862#2321—791no—
863C4×#123—791no—
864C79#3692111yescharacteristic, complemented, Sylow
865C2×#127—791no—
866C2×#126—791no—
867C2×#126—791no—
868C2×#125—791no—
869C2×#124—791no—
870C2×#124—791no—
871C2×#123—791no—
872C2×#123—791no—
873C2×C22⋊Q8—791no—
874C2×#121—791no—
875C2×#121—791no—
876C2×#121—791no—
877C2×#121—791no—
878C2×#121—791no—
879C2×#121—791no—
880C2×#121—791no—
881C2×#121—791no—
882C2×#121C2×D7911yescharacteristic
883C2×#121C2×D7911yescharacteristic, complemented
884C2×#120—791no—
885C2×#120—791no—
886C2×#120—791no—
887C2×#120—791no—
888C2×C4×D4—791no—
889C2×C4×D4—791no—
890C22×C22⋊C4—791no—
891C22×C42—791no—
892#400—791no—
893#400C2×D7911yescharacteristic, complemented
894#399—791no—
895#399—791no—
896#399—791no—
897#398—791no—
898#398—791no—
899#397—791no—
900#397—791no—
901#397—791no—
902#397—791no—
903#397C2×D7911yescharacteristic
904#397C2×D7911yescharacteristic, complemented
905#396—791no—
906#396—791no—
907#396—791no—
908#396—791no—
909#396—791no—
910#395—791no—
911#395—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#394—791no—
919#394—791no—
920#394—791no—
921#394—791no—
922#394—791no—
923#394—791no—
924#394—791no—
925#394—791no—
926#394—791no—
927#394—791no—
928#394—791no—
929#394C2×D7911yescharacteristic
930#393—791no—
931#393—791no—
932#392—791no—
933#392—791no—
934#392—791no—
935#392—791no—
936#392—791no—
937#392—791no—
938#392C2×D7911yescharacteristic
939#392C2×D7911yescharacteristic
940#390—791no—
941#390—791no—
942#390—791no—
943#390—791no—
944#390—791no—
945#390—791no—
946#390—791no—
947#390—791no—
948#390—791no—
949#390—791no—
950#390—791no—
951#390—791no—
952#389—791no—
953#388—791no—
954#388—791no—
955#388—791no—
956#388—791no—
957#388—791no—
958#388—791no—
959#388—791no—
960#388—791no—
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#387—791no—
972#387—791no—
973#387—791no—
974#387—791no—
975#387—791no—
976#387—791no—
977#387—791no—
978#387—791no—
979#387—791no—
980#386—791no—
981#386—791no—
982#386—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#386C2×D7911yescharacteristic
994#386C2×D7911yescharacteristic
995#386C2×D7911yescharacteristic, complemented
996#386C2×D7911yescharacteristic, complemented
997#386C2×D7911yescharacteristic, complemented
998#385—791no—
999#385—791no—
1000#385—791no—
1001#385—791no—
1002#385—791no—
1003#385C2×D7911yescharacteristic, complemented
1004#384—791no—
1005#383—791no—
1006#381—791no—
1007#381—791no—
1008#381C2×D7911yescharacteristic, complemented
1009#380—791no—
1010#380—791no—
1011#379—791no—
1012#379—791no—
1013C4×C4⋊C4—791no—
1014C4×C4⋊C4—791no—
1015C4×C22⋊C4—791no—
1016C4×C22⋊C4—791no—
1017C4×C22⋊C4—791no—
1018C4×C22⋊C4—791no—
1019C4×C22⋊C4—791no—
1020C25—791no—
1021C22×Q8—791no—
1022C22×D4—791no—
1023C22×D4—791no—
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×D4C22×D7911yescharacteristic
1035C22×D4C22×D7911yescharacteristic
1036C22×D4C22×D7911yescharacteristic
1037C22×D4C22×D7911yescharacteristic
1038C22×D4C22×D7911yescharacteristic
1039C22×D4C22×D7911yescharacteristic
1040C23×C4—791no—
1041C23×C4—791no—
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4C22×D7911yescharacteristic
1046C23×C4C22×D7911yescharacteristic
1047C23×C4C22×D7911yescharacteristic
1048#127—3162no—
1049#126—3162no—
1050#126—3162no—
1051#125—3162no—
1052#124—3162no—
1053#124—3162no—
1054#123—3162no—
1055#123—1584no—
1056C22⋊Q8—3162no—
1057#121—42no—
1058#121—42no—
1059#121—3162no—
1060#121—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—
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×C22⋊C4—3162no—
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⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
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×C22⋊C4C22×D7911yescharacteristic
1157C2×C42—3162no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42—791no—
1162C2×C42—791no—
1163C2×C42—791no—
1164C2×C42—791no—
1165C2×C42—791no—
1166C2×C42—791no—
1167C2×C42—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#95C22×D7911yescharacteristic
1193#95C22×D7911yescharacteristic
1194#95C22×D7911yescharacteristic
1195#95C22×D7911yescharacteristic
1196#95C22×D7911yescharacteristic
1197#95C22×D7911yescharacteristic
1198#95C22×D7911yescharacteristic
1199#95C22×D7911yescharacteristic
1200#95C22×D7911yescharacteristic
1201#95C22×D7911yescharacteristic
1202C24—3161no—
1203C24—3161no—
1204C24—3161no—
1205C24—3161no—
1206C24—3161no—
1207C24—3161no—
1208C24—791no—
1209C24—791no—
1210C24—791no—
1211C24—1582no—
1212C24C23×D7911yescharacteristic
1213C24C23×D7911yescharacteristic
1214C24C23×D7911yescharacteristic
1215C24C23×D7911yescharacteristic
1216C2×Q8—3161no—
1217C2×Q8—3161no—
1218C2×Q8—3161no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—41no—
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—3161no—
1238C2×D4—3161no—
1239C2×D4—3161no—
1240C2×D4—3161no—
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—1582no—
1262C2×D4—1582no—
1263C2×D4—1582no—
1264C2×D4—1582no—
1265C2×D4—1582no—
1266C2×D4—1582no—
1267C2×D4—1582no—
1268C2×D4—1582no—
1269C2×D4—1582no—
1270C2×D4—1582no—
1271C2×D4—1582no—
1272C2×D4—1582no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
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—791no—
1293C22×C4—791no—
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—1582no—
1306C22×C4—1582no—
1307C22×C4—1582no—
1308C22×C4—1582no—
1309C22×C4—1582no—
1310C22×C4C23×D7911yescharacteristic
1311C22×C4C23×D7911yescharacteristic
1312C22×C4C23×D7911yescharacteristic
1313C22×C4C23×D7911yescharacteristic
1314C22×C4C23×D7911yescharacteristic
1315C22×C4C23×D7911yescharacteristic
1316C22×C4C23×D7911yescharacteristic
1317C22×C4C23×D7911yescharacteristic
1318C22×C4C23×D7911yescharacteristic
1319C22×C4C23×D7911yescharacteristic
1320C22×C4C23×D7911yescharacteristic
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—41no—
1324C4⋊C4—3161no—
1325C4⋊C4—3161no—
1326C4⋊C4—3161no—
1327C4⋊C4—3161no—
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—1582no—
1339C4⋊C4—1582no—
1340C4⋊C4—1582no—
1341C4⋊C4—1582no—
1342C4⋊C4—1582no—
1343C4⋊C4—1582no—
1344C4⋊C4—1582no—
1345C4⋊C4—1582no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
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—3161no—
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—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—3161no—
1389C22⋊C4—794no—
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—
1404C42—3161no—
1405C42—3161no—
1406C42—3161no—
1407C42—3161no—
1408C42—3161no—
1409C42—3161no—
1410C42—3161no—
1411C42—1582no—
1412C42—1582no—
1413C42—1582no—
1414C23—21no—
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—3164no—
1442C23—792no—
1443C23—6322no—
1444C23—6322no—
1445C23—6322no—
1446C23—6322no—
1447C23—6322no—
1448C23—6322no—
1449C23—1581no—
1450C23—1581no—
1451C23—1581no—
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#1457920712yes—
1470C23C24×D7911yescharacteristic
1471Q8—6322no—
1472D4—82no—
1473D4—82no—
1474D4—82no—
1475D4—82no—
1476D4—82no—
1477D4—82no—
1478D4—3164no—
1479D4—3164no—
1480D4—6322no—
1481D4—6322no—
1482D4—6322no—
1483D4—6322no—
1484D4—6322no—
1485D4—6322no—
1486D4—6322no—
1487D4—6322no—
1488D4—6322no—
1489D4—6322no—
1490C2×C4—21no—
1491C2×C4—21no—
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—44no—
1522C2×C4—82no—
1523C2×C4—82no—
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—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—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#41×D7912yes—
1569C2×C4#1457920612yes—
1570C22—22no—
1571C22—22no—
1572C22—22no—
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—3161no—
1599C22—3161no—
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—3161no—
1616C22—6328no—
1617C22—1582no—
1618C22—1582no—
1619C22—1582no—
1620C22C2×#41×D7911yescharacteristic
1621C22H(5,𝔽2)×D7911yescharacteristic
1622C22H(5,𝔽2)×D7911yescharacteristic
1623C22C2×#1457920611yescharacteristic
1624C22C2×#1457920711yescharacteristic
1625C22#1909939811yescharacteristic
1626C22#1909939811yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—3161no—
1639C4—3161no—
1640C4—3161no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—1582no—
1649C4—1582no—
1650C4—1582no—
1651C2—42no—
1652C2—81no—
1653C2—81no—
1654C2—81no—
1655C2—3162no—
1656C2—6321no—
1657C2—6321no—
1658C2#2377681511yescharacteristic
1659C2#2377735811yescharacteristic
1660C2#2377742811yescharacteristic
1661C2#2377758111yescharacteristic
1662C2#2377771111yescharacteristic
1663C2#2377773211yescharacteristic
1664C2#2377795411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2688C2
hypercenter#2688D79
hypocenterC79#36921
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2688

Complements

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

NH ≅ G/Ntype
1. #23771743C2semidirect
2. #23771713C2semidirect
3. #23771216C2semidirect
4. #23770628C2semidirect
5. #23770455C2semidirect
6. #23770273C2semidirect
7. #23770158C2semidirect
8. #23770131C2semidirect
9. #23770077C2semidirect
10. #23769990C2semidirect
11. #23769804C2semidirect
12. #23769793C2semidirect
13. #23769718C2semidirect
14. #23769695C2semidirect
15. #23769634C2semidirect
16. #23769612C2semidirect
17. #23769606C2semidirect
18. #23769536C2semidirect
19. #23769428C2semidirect
20. #23768526C2semidirect
21. #23768470C2semidirect
22. #23768037C2semidirect
23. #23767754C2semidirect
24. #23767519C2semidirect
25. #23767456C2semidirect
26. #23767296C2semidirect
27. #23766939C2semidirect
28. #23766162C2semidirect
29. #23766056C2semidirect
30. #23765919C2semidirect
31. C79×#2688C2semidirect
34. C2×#14579154C22semidirect
35. C2×#14579152C22semidirect
36. C2×#14579148C22semidirect
39. C2×#14579144C22semidirect
45. C2×#14579133C22semidirect
46. C2×#14579133C22semidirect
56. C22×C4×Dic79C22semidirect
57. #19098504C22semidirect
59. #19098500C22semidirect
61. #19098497C22semidirect
62. #19098495C22semidirect
66. #19098488C22semidirect
70. #19098486C22semidirect
71. #19098485C22semidirect
72. #19098484C22semidirect
73. #19098484C22semidirect
82. #19098479C22semidirect
83. #19098479C22semidirect
89. #19098477C22semidirect
90. #19098477C22semidirect
92. #19098475C22semidirect
102. #19098466C22semidirect
108. #19098463C22semidirect
109. #19098463C22semidirect
110. #19098463C22semidirect
111. #19098460C22semidirect
114. #19098457C22semidirect
116. #19098456C22semidirect
117. #19098456C22semidirect
126. #19098452C22semidirect
127. #19098452C22semidirect
130. #19098450C22semidirect
131. #19098449C22semidirect
132. #19098448C22semidirect
133. #19098448C22semidirect
134. #19098446C22semidirect
135. #19098446C22semidirect
136. #19098446C22semidirect
137. #19098445C22semidirect
138. #19098445C22semidirect
150. #19098439C22semidirect
151. #19098439C22semidirect
152. #19098438C22semidirect
155. #19098436C22semidirect
156. #19098435C22semidirect
157. #19098432C22semidirect
158. #19098430C22semidirect
159. #19098425C22semidirect
160. #19098424C22semidirect
161. #19098423C22semidirect
162. #19098423C22semidirect
165. C4⋊C4×Dic79C22semidirect
166. C4⋊C4×Dic79C22semidirect
167. C22⋊C4×Dic79C22semidirect
168. C4×C22⋊Dic79C22semidirect
171. #19098410C22semidirect
173. C2×#121×C79C22semidirect
174. #400×C79C22semidirect
176. #397×C79C22semidirect
182. #386×C79C22semidirect
183. #386×C79C22semidirect
184. #386×C79C22semidirect
185. #385×C79C22semidirect
186. #381×C79C22semidirect
843. #2688D79semidirect
864. C79#36921semidirect
883. C2×#121C2×D79semidirect
893. #400C2×D79semidirect
904. #397C2×D79semidirect
995. #386C2×D79semidirect
996. #386C2×D79semidirect
997. #386C2×D79semidirect
1003. #385C2×D79semidirect
1008. #381C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237717432
#237717132
#237712162
#237706282
#237704552
#237702732
#237701582
#237701312
#237700772
#237699902
#237698042
#237697932
#237697182
#237696952
#237696342
#237696122
#237696062
#237695362
#237694282
#237685262
#237684702
#237680372
#237677542
#237675192
#237674562
#237672962
#237669392
#237661622
#237660562
#237659192
C79×#26882
#3692179