Finite Group Databasebeta

← #34502154

Subgroups — #34502154

Order 20224.

2184 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099149C211yesmaximal, characteristic, complemented
2C2×#19099098C211yesmaximal, characteristic, complemented
3#23771730C211yesmaximal, characteristic, complemented
4#23771724C211yesmaximal, characteristic, complemented
5#23770361C211yesmaximal, characteristic, complemented
6#23770336C211yesmaximal, characteristic, complemented
7#23770147C211yesmaximal, characteristic, complemented
8#23770069C211yesmaximal, characteristic, complemented
9#23770043C211yesmaximal, characteristic, complemented
10#23770010C211yesmaximal, characteristic, complemented
11#23769958C211yesmaximal, characteristic, complemented
12#23769858C211yesmaximal, characteristic, complemented
13#23769796C211yesmaximal, characteristic, complemented
14#23769760C211yesmaximal, characteristic, complemented
15#23769723C211yesmaximal, characteristic, complemented
16#23769688C211yesmaximal, characteristic, complemented
17#23769684C211yesmaximal, characteristic, complemented
18#23769654C211yesmaximal, characteristic, complemented
19#23769623C211yesmaximal, characteristic, complemented
20#23769292C211yesmaximal, characteristic, complemented
21#23769250C211yesmaximal, characteristic, complemented
22#23769086C211yesmaximal, characteristic, complemented
23#23769036C211yesmaximal, characteristic, complemented
24#23769000C211yesmaximal, characteristic, complemented
25#23768986C211yesmaximal, characteristic, complemented
26#23768375C211yesmaximal, characteristic, complemented
27#23768291C211yesmaximal, characteristic, complemented
28#23767693C211yesmaximal, characteristic, complemented
29#23767669C211yesmaximal, characteristic, complemented
30#23766039C211yesmaximal, characteristic, complemented
31C79×#2707C211yesmaximal, characteristic, complemented
32#19099149—28no—
33C2×#14579160C2211yescharacteristic, complemented
34#19099098—28no—
35C2×#14579156C2211yescharacteristic
36C2×#14579156C2211yescharacteristic
37C2×#14579156C2211yescharacteristic, complemented
38C2×#14579154C2211yescharacteristic
39C2×#14579149C2211yescharacteristic
40C2×#14579147C2211yescharacteristic
41C2×#14579147C2211yescharacteristic
42C2×#14579147C2211yescharacteristic
43C2×#14579146C2211yescharacteristic
44C2×#14579146C2211yescharacteristic
45C2×#14579146C2211yescharacteristic
46C2×#14579146C2211yescharacteristic, complemented
47C2×#14579143C2211yescharacteristic
48C2×#14579143C2211yescharacteristic, complemented
49C2×#14579141C2211yescharacteristic
50C2×#14579141C2211yescharacteristic, complemented
51C2×#14579136C2211yescharacteristic
52C2×#14579135C2211yescharacteristic
53C2×#14579134C2211yescharacteristic
54C2×#14579132C2211yescharacteristic
55C2×#14579131C2211yescharacteristic
56C2×#14579131C2211yescharacteristic
57C2×#14579129C2211yescharacteristic
58C2×#14579126C2211yescharacteristic, complemented
59C2×#14579123C2211yescharacteristic
60C2×#14579123C2211yescharacteristic
61C2×#14579123C2211yescharacteristic, complemented
62C2×C4×C22⋊D79C2211yescharacteristic
63C2×#14579119C2211yescharacteristic
64C2×#14579119C2211yescharacteristic, complemented
65C2×C22⋊C4×D79C2211yescharacteristic
66C2×C42×D79C2211yescharacteristic, complemented
67#19098505C2211yescharacteristic, complemented
68#19098502C2211yescharacteristic, complemented
69#19098500C2211yescharacteristic
70#19098500C2211yescharacteristic, complemented
71#19098499C2211yescharacteristic
72#19098499C2211yescharacteristic
73#19098496C2211yescharacteristic, complemented
74#19098492C2211yescharacteristic, complemented
75#19098490C2211yescharacteristic
76#19098490C2211yescharacteristic
77#19098489C2211yescharacteristic
78#19098489C2211yescharacteristic
79#19098486C2211yescharacteristic, complemented
80#19098485C2211yescharacteristic
81#19098485C2211yescharacteristic
82#19098485C2211yescharacteristic
83#19098485C2211yescharacteristic
84#19098485C2211yescharacteristic, complemented
85#19098485C2211yescharacteristic, complemented
86#19098484C2211yescharacteristic, complemented
87#19098484C2211yescharacteristic, complemented
88#19098481C2211yescharacteristic
89#19098481C2211yescharacteristic, complemented
90#19098480C2211yescharacteristic
91#19098480C2211yescharacteristic
92#19098480C2211yescharacteristic
93#19098479C2211yescharacteristic
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic
97#19098479C2211yescharacteristic
98#19098479C2211yescharacteristic, complemented
99#19098478C2211yescharacteristic
100#19098478C2211yescharacteristic
101#19098476C2211yescharacteristic, complemented
102#19098475C2211yescharacteristic
103#19098473C2211yescharacteristic
104#19098472C2211yescharacteristic
105#19098472C2211yescharacteristic
106#19098472C2211yescharacteristic
107#19098472C2211yescharacteristic, complemented
108#19098471C2211yescharacteristic
109#19098467C2211yescharacteristic, complemented
110#19098466C2211yescharacteristic
111#19098465C2211yescharacteristic
112#19098465C2211yescharacteristic
113#19098464C2211yescharacteristic
114#19098463C2211yescharacteristic
115#19098463C2211yescharacteristic
116#19098463C2211yescharacteristic, complemented
117#19098462C2211yescharacteristic, complemented
118#19098462C2211yescharacteristic, complemented
119#19098462C2211yescharacteristic, complemented
120#19098462C2211yescharacteristic, complemented
121#19098461C2211yescharacteristic, complemented
122#19098461C2211yescharacteristic, complemented
123#19098459C2211yescharacteristic, complemented
124#19098458C2211yescharacteristic, complemented
125#19098457C2211yescharacteristic
126#19098457C2211yescharacteristic
127#19098457C2211yescharacteristic, complemented
128#19098456C2211yescharacteristic
129#19098456C2211yescharacteristic
130#19098456C2211yescharacteristic
131#19098456C2211yescharacteristic, complemented
132#19098456C2211yescharacteristic, complemented
133#19098455C2211yescharacteristic
134#19098455C2211yescharacteristic
135#19098455C2211yescharacteristic, complemented
136#19098455C2211yescharacteristic, complemented
137#19098455C2211yescharacteristic, complemented
138#19098454C2211yescharacteristic
139#19098453C2211yescharacteristic
140#19098453C2211yescharacteristic
141#19098453C2211yescharacteristic
142#19098453C2211yescharacteristic, complemented
143#19098452C2211yescharacteristic
144#19098452C2211yescharacteristic
145#19098446C2211yescharacteristic, complemented
146#19098445C2211yescharacteristic, complemented
147#19098445C2211yescharacteristic, complemented
148#19098444C2211yescharacteristic, complemented
149#19098444C2211yescharacteristic, complemented
150#19098442C2211yescharacteristic, complemented
151#19098441C2211yescharacteristic
152#19098441C2211yescharacteristic
153#19098441C2211yescharacteristic
154#19098439C2211yescharacteristic
155#19098439C2211yescharacteristic
156#19098439C2211yescharacteristic, complemented
157#19098439C2211yescharacteristic, complemented
158#19098437C2211yescharacteristic
159#19098437C2211yescharacteristic
160#19098437C2211yescharacteristic, complemented
161#19098434C2211yescharacteristic, complemented
162#19098434C2211yescharacteristic, complemented
163#19098425C2211yescharacteristic
164#19098425C2211yescharacteristic
165#19098425C2211yescharacteristic, complemented
166#19098423C2211yescharacteristic, complemented
167#19098420C2211yescharacteristic
168#19098420C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic
170#19098418C2211yescharacteristic
171#19098418C2211yescharacteristic
172C4⋊C4×Dic79C2211yescharacteristic, complemented
173#19098409C2211yescharacteristic, complemented
174C2×#125×C79C2211yescharacteristic, complemented
175C2×#123×C79C2211yescharacteristic
176#398×C79C2211yescharacteristic, complemented
177#397×C79C2211yescharacteristic
178#396×C79C2211yescharacteristic
179#396×C79C2211yescharacteristic
180#396×C79C2211yescharacteristic, complemented
181#394×C79C2211yescharacteristic
182#390×C79C2211yescharacteristic
183#389×C79C2211yescharacteristic, complemented
184#388×C79C2211yescharacteristic
185#388×C79C2211yescharacteristic, complemented
186#387×C79C2211yescharacteristic, complemented
187#385×C79C2211yescharacteristic, complemented
188#380×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209#14579160—42no—
210#14579156—24no—
211#14579156—24no—
212#14579156—24no—
213#14579154—24no—
214#14579149—24no—
215#14579147—24no—
216#14579147—24no—
217#14579147—42no—
218#14579146—24no—
219#14579146—24no—
220#14579146—24no—
221#14579146—42no—
222#14579143—42no—
223#14579143—42no—
224#14579141—24no—
225#14579141—24no—
226#14579136—24no—
227#14579135—24no—
228#14579134—24no—
229#14579132—24no—
230#14579131—24no—
231#14579131—42no—
232#14579129—24no—
233#14579126—24no—
234#14579123—24no—
235#14579123—24no—
236#14579123D418yescomplemented
237C4×C22⋊D79—24no—
238#14579119—24no—
239#14579119—24no—
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×C4⋊Dic79C2311yescharacteristic
251C2×C4⋊Dic79C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×(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
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C22⋊C4×D79—24no—
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
314C2×C4×Dic79C2311yescharacteristic
315C2×C4×Dic79C2311yescharacteristic
316C2×C4×Dic79C2311yescharacteristic
317C42×D79—24no—
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
343C23×C4×C79C2311yescharacteristic
344#125×C79—24no—
345#123×C79—24no—
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C4⋊C4×C79C2311yescharacteristic
350C2×C4⋊C4×C79C2311yescharacteristic
351C2×C4⋊C4×C79C2311yescharacteristic
352C2×C4⋊C4×C79C2311yescharacteristic
353C2×C4⋊C4×C79C2311yescharacteristic
354C2×C4⋊C4×C79C2311yescharacteristic
355C2×C4⋊C4×C79C2311yescharacteristic
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊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×C42×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—41no—
381C23×D79—41no—
382C23×D79—41no—
383C23×D79—41no—
384C23×D79—41no—
385C23×D79—41no—
386C23×D79C2411yescharacteristic
387C23×D79C2411yescharacteristic
388C23×D79C2411yescharacteristic
389C23×D79C2411yescharacteristic
390C2×Dic158—22no—
391C2×Dic158—22no—
392C2×Dic158—22no—
393C2×Dic158—41no—
394C2×Dic158—41no—
395C2×Dic158—41no—
396C2×D316—22no—
397C2×D316—22no—
398C2×D316—22no—
399C2×D316—22no—
400C2×D316—41no—
401C2×D316—41no—
402C2×D316—41no—
403C2×D316—41no—
404C2×D316—41no—
405C2×D316—41no—
406C2×D316—41no—
407C2×D316—41no—
408C2×D316—41no—
409C2×D316—41no—
410C2×D316C2×D414yes—
411C2×C22⋊D79—22no—
412C2×C22⋊D79—22no—
413C2×C22⋊D79—22no—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—41no—
416C2×C22⋊D79—41no—
417C2×C22⋊D79—41no—
418C2×C22⋊D79—41no—
419C2×C22⋊D79—41no—
420C2×C22⋊D79—41no—
421C2×C22⋊D79—41no—
422C2×C22⋊D79—41no—
423C2×C22⋊D79—41no—
424C2×C22⋊D79—41no—
425C2×C22⋊D79—41no—
426C2×C22⋊D79—41no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79—41no—
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
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—
455C2×C4×D79—41no—
456C2×C4×D79—41no—
457C2×C4×D79C2×D414yes—
458C2×C4×D79C2×D414yes—
459C4⋊Dic79—22no—
460C4⋊Dic79—22no—
461C4⋊Dic79—22no—
462C4⋊Dic79—22no—
463C4⋊Dic79—41no—
464C4⋊Dic79—41no—
465C4⋊Dic79—41no—
466C4⋊Dic79—41no—
467C4⋊Dic79—41no—
468C4⋊Dic79—41no—
469C4⋊Dic79—41no—
470C4⋊Dic79—41no—
471Dic79⋊C4—22no—
472Dic79⋊C4—22no—
473Dic79⋊C4—22no—
474Dic79⋊C4—22no—
475Dic79⋊C4—22no—
476Dic79⋊C4—22no—
477Dic79⋊C4—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481C22⋊Dic79—22no—
482C22⋊Dic79—22no—
483C22⋊Dic79—22no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
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—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—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4—41no—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4—41no—
517(C2×D79)⋊C4—41no—
518(C2×D79)⋊C4—41no—
519(C2×D79)⋊C4—41no—
520(C2×D79)⋊C4—41no—
521(C2×D79)⋊C4—41no—
522(C2×D79)⋊C4—41no—
523(C2×D79)⋊C4—41no—
524(C2×D79)⋊C4C2×D414yes—
525(C2×D79)⋊C4C2×D414yes—
526C4×Dic79—22no—
527C4×Dic79—22no—
528C4×Dic79—22no—
529C4×Dic79—22no—
530C4×Dic79—22no—
531C4×Dic79—41no—
532C4×Dic79—41no—
533C4×Dic79—41no—
534C4×Dic79C2×D414yes—
535C24×C79C2411yescharacteristic
536C24×C79C2411yescharacteristic
537C2×D4×C79—22no—
538C2×D4×C79—41no—
539C2×D4×C79—41no—
540C22×C4×C79—22no—
541C22×C4×C79—41no—
542C22×C4×C79—41no—
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C4⋊C4×C79—22no—
557C4⋊C4×C79—22no—
558C4⋊C4×C79—22no—
559C4⋊C4×C79—22no—
560C4⋊C4×C79—22no—
561C4⋊C4×C79—22no—
562C4⋊C4×C79—22no—
563C4⋊C4×C79—41no—
564C4⋊C4×C79—41no—
565C4⋊C4×C79—41no—
566C4⋊C4×C79—41no—
567C4⋊C4×C79C2×D414yes—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—22no—
570C22⋊C4×C79—22no—
571C22⋊C4×C79—22no—
572C22⋊C4×C79—22no—
573C22⋊C4×C79—41no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C22⋊C4×C79—41no—
578C22⋊C4×C79—41no—
579C42×C79—22no—
580C42×C79—41no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79C2511yescharacteristic
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—44no—
623C22×D79—82no—
624C22×D79—82no—
625C22×D79—82no—
626C22×D79—82no—
627C22×D79—82no—
628C22×D79—82no—
629C22×D79C22×D412yes—
630C22×D79C22×D412yes—
631D4×C79—82no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—82no—
668C2×C4×C79C22×D412yes—
669C2×C4×C79C22×D412yes—
670C2×C4×C79C22×D412yes—
671C2×C4×C79H(5,𝔽2)12yes—
672C22⋊D79—44no—
673C22⋊D79—82no—
674C22⋊D79—82no—
675C22⋊D79—82no—
676C22⋊D79—82no—
677C22⋊D79—82no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79C22×D412yes—
713C2×Dic79C22×D412yes—
714D316—44no—
715D316—44no—
716D316—44no—
717D316—82no—
718D316—82no—
719C4×D79—44no—
720C4×D79—44no—
721C4×D79—44no—
722C4×D79—44no—
723C4×D79—44no—
724C4×D79—82no—
725Dic158—44no—
726Dic158—82no—
727C22×C79—41no—
728C22×C79—41no—
729C22×C79—41no—
730C22×C79—41no—
731C22×C79—41no—
732C22×C79—41no—
733C22×C79—41no—
734C22×C79—41no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79C23×D411yescharacteristic
742C22×C79C2×H(5,𝔽2)11yescharacteristic
743C22×C79#58511yescharacteristic
744C22×C79#58511yescharacteristic
745C22×C79#58511yescharacteristic
746C22×C79#58511yescharacteristic
747C22×C79#58511yescharacteristic
748C2×D79—22no—
749C2×D79—22no—
750C2×D79—22no—
751C2×D79—22no—
752C2×D79—22no—
753C2×D79—22no—
754C2×D79—41no—
755C2×D79—41no—
756C2×D79—41no—
757C2×D79—41no—
758C2×D79—41no—
759C2×D79—41no—
760C2×D79—41no—
761C2×D79—41no—
762C2×D79—41no—
763C2×D79—41no—
764C2×D79—41no—
765C2×D79—41no—
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—88no—
777C4×C79—22no—
778C4×C79—22no—
779C4×C79—22no—
780C4×C79—22no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790Dic79—22no—
791Dic79—22no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802#36973—791nomaximal, Sylow
803C2×C79—81no—
804C2×C79—81no—
805C2×C79#344911yescharacteristic
806C2×C79#348511yescharacteristic
807C2×C79#348811yescharacteristic
808C2×C79#355111yescharacteristic
809C2×C79#356211yescharacteristic
810C2×C79#356611yescharacteristic
811C2×C79#356811yescharacteristic
812D79—42no—
813D79—42no—
814D79—81no—
815D79—81no—
816C2×#538—791no—
817C2×#529—791no—
818#2854—791no—
819#2853—791no—
820#2727—791no—
821#2725—791no—
822#2710—791no—
823#2707D7911yescharacteristic, complemented
824#2705—791no—
825#2703—791no—
826#2701—791no—
827#2697—791no—
828#2689—791no—
829#2685—791no—
830#2682—791no—
831#2678—791no—
832#2674—791no—
833#2674—791no—
834#2672—791no—
835#2670—791no—
836#2635—791no—
837#2630—791no—
838#2610—791no—
839#2604—791no—
840#2601—791no—
841#2600—791no—
842#2545—791no—
843#2534—791no—
844#2485—791no—
845#2482—791no—
846#2319—791no—
847C79#3697311yescharacteristic, complemented, Sylow
848#538—1588no—
849C2×C4⋊Q8—791no—
850#529—1588no—
851C2×#126—791no—
852C2×#126—791no—
853C2×#126—791no—
854C2×#126—791no—
855C2×#125C2×D7911yescharacteristic, complemented
856C2×#124—791no—
857C2×#124—791no—
858C2×#124—791no—
859C2×#124—791no—
860C2×#123—791no—
861C2×#123—791no—
862C2×#123—791no—
863C2×#123—791no—
864C2×#123—791no—
865C2×#123—791no—
866C2×#123C2×D7911yescharacteristic
867C2×C22⋊Q8—791no—
868C2×C22⋊Q8—791no—
869C2×#121—791no—
870C2×#121—791no—
871C2×#121—791no—
872C2×#121—791no—
873C2×#120—791no—
874C2×#120—791no—
875C2×#120—791no—
876C2×C4×Q8—791no—
877C2×C4×D4—791no—
878C2×C4×D4—791no—
879C2×C4×D4—791no—
880C2×C4×D4—791no—
881C2×#117—791no—
882C2×#117—791no—
883C22×C22⋊C4—791no—
884C22×C42—791no—
885#400—791no—
886#400—791no—
887#399—791no—
888#399—791no—
889#399—791no—
890#399—791no—
891#398—791no—
892#398C2×D7911yescharacteristic, complemented
893#397—791no—
894#397—791no—
895#397—791no—
896#397—791no—
897#397—791no—
898#397C2×D7911yescharacteristic
899#396—791no—
900#396—791no—
901#396—791no—
902#396—791no—
903#396—791no—
904#396—791no—
905#396—791no—
906#396C2×D7911yescharacteristic
907#396C2×D7911yescharacteristic
908#396C2×D7911yescharacteristic, complemented
909#395—791no—
910#395—791no—
911#394—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#394—791no—
919#394—791no—
920#394—791no—
921#394—791no—
922#394—791no—
923#394—791no—
924#394C2×D7911yescharacteristic
925#393—791no—
926#393—791no—
927#392—791no—
928#392—791no—
929#392—791no—
930#392—791no—
931#392—791no—
932#392—791no—
933#391—791no—
934#390—791no—
935#390—791no—
936#390—791no—
937#390—791no—
938#390—791no—
939#390—791no—
940#390—791no—
941#390C2×D7911yescharacteristic
942#389—791no—
943#389—791no—
944#389—791no—
945#389—791no—
946#389—791no—
947#389—791no—
948#389—791no—
949#389—791no—
950#389C2×D7911yescharacteristic, complemented
951#388—791no—
952#388—791no—
953#388—791no—
954#388—791no—
955#388—791no—
956#388—791no—
957#388—791no—
958#388—791no—
959#388—791no—
960#388—791no—
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#388C2×D7911yescharacteristic
972#388C2×D7911yescharacteristic, complemented
973#387—791no—
974#387—791no—
975#387—791no—
976#387—791no—
977#387—791no—
978#387C2×D7911yescharacteristic, complemented
979#386—791no—
980#386—791no—
981#386—791no—
982#386—791no—
983#386—791no—
984#386—791no—
985#386—791no—
986#386—791no—
987#385—791no—
988#385—791no—
989#385—791no—
990#385—791no—
991#385—791no—
992#385C2×D7911yescharacteristic, complemented
993#381—791no—
994#381—791no—
995#381—791no—
996#380—791no—
997#380—791no—
998#380—791no—
999#380C2×D7911yescharacteristic, complemented
1000#379—791no—
1001#379—791no—
1002#379—791no—
1003C4×C4⋊C4—791no—
1004#376—791no—
1005C25—791no—
1006C22×Q8—791no—
1007C22×Q8—791no—
1008C22×D4—791no—
1009C22×D4—791no—
1010C22×D4—791no—
1011C22×D4—791no—
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4—791no—
1017C22×D4—791no—
1018C22×D4—791no—
1019C22×D4C22×D7911yescharacteristic
1020C23×C4—791no—
1021C23×C4—791no—
1022C23×C4—791no—
1023C23×C4—791no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4C22×D7911yescharacteristic
1027C4⋊Q8—3162no—
1028#126—1584no—
1029#126—1584no—
1030#126—1584no—
1031#126—1584no—
1032#125—24no—
1033#124—3162no—
1034#124—1584no—
1035#124—1584no—
1036#124—1584no—
1037#123—24no—
1038#123—3162no—
1039#123—3162no—
1040#123—3162no—
1041#123—1584no—
1042#123—1584no—
1043#123—1584no—
1044C22⋊Q8—1584no—
1045C22⋊Q8—1584no—
1046#121—1584no—
1047#121—1584no—
1048#121—1584no—
1049#121—1584no—
1050#120—3162no—
1051#120—1584no—
1052#120—1584no—
1053C4×Q8—1584no—
1054C4×D4—798no—
1055C4×D4—1584no—
1056C4×D4—1584no—
1057C4×D4—1584no—
1058#117—1584no—
1059#117—1584no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4—791no—
1081C2×C4⋊C4—791no—
1082C2×C4⋊C4C22×D7911yescharacteristic
1083C2×C4⋊C4C22×D7911yescharacteristic
1084C2×C4⋊C4C22×D7911yescharacteristic
1085C2×C4⋊C4C22×D7911yescharacteristic
1086C2×C4⋊C4C22×D7911yescharacteristic
1087C2×C4⋊C4C22×D7911yescharacteristic
1088C2×C4⋊C4C22×D7911yescharacteristic
1089C2×C4⋊C4C22×D7911yescharacteristic
1090C2×C4⋊C4C22×D7911yescharacteristic
1091C2×C4⋊C4C22×D7911yescharacteristic
1092C2×C4⋊C4C22×D7911yescharacteristic
1093C2×C4⋊C4C22×D7911yescharacteristic
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—791no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—1584no—
1140C2×C22⋊C4C22×D7911yescharacteristic
1141C2×C22⋊C4C22×D7911yescharacteristic
1142C2×C22⋊C4C22×D7911yescharacteristic
1143C2×C22⋊C4C22×D7911yescharacteristic
1144C2×C22⋊C4C22×D7911yescharacteristic
1145C2×C22⋊C4C22×D7911yescharacteristic
1146C2×C22⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4C22×D7911yescharacteristic
1148C2×C22⋊C4C22×D7911yescharacteristic
1149C2×C22⋊C4C22×D7911yescharacteristic
1150C2×C22⋊C4C22×D7911yescharacteristic
1151C2×C42—791no—
1152C2×C42—791no—
1153C2×C42—791no—
1154C2×C42—791no—
1155C2×C42—791no—
1156C2×C42—791no—
1157C2×C42—791no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—1584no—
1161C2×C42C22×D7911yescharacteristic
1162C2×C42C22×D7911yescharacteristic
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95—791no—
1180#95—791no—
1181#95—791no—
1182#95—791no—
1183#95—791no—
1184#95—791no—
1185#95—791no—
1186#95—791no—
1187#95C22×D7911yescharacteristic
1188#95C22×D7911yescharacteristic
1189#95C22×D7911yescharacteristic
1190#95C22×D7911yescharacteristic
1191#95C22×D7911yescharacteristic
1192#95C22×D7911yescharacteristic
1193#95C22×D7911yescharacteristic
1194#95C22×D7911yescharacteristic
1195C24—3161no—
1196C24—3161no—
1197C24—3161no—
1198C24—3161no—
1199C24—3161no—
1200C24—3161no—
1201C24—791no—
1202C24—791no—
1203C24—791no—
1204C24—791no—
1205C24—1582no—
1206C24C23×D7911yescharacteristic
1207C24C23×D7911yescharacteristic
1208C2×Q8—3161no—
1209C2×Q8—3161no—
1210C2×Q8—3161no—
1211C2×Q8—1582no—
1212C2×Q8—1582no—
1213C2×Q8—1582no—
1214C2×D4—22no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—3161no—
1218C2×D4—3161no—
1219C2×D4—3161no—
1220C2×D4—3161no—
1221C2×D4—3161no—
1222C2×D4—3161no—
1223C2×D4—3161no—
1224C2×D4—3161no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—3161no—
1228C2×D4—3161no—
1229C2×D4—3161no—
1230C2×D4—3161no—
1231C2×D4—3161no—
1232C2×D4—3161no—
1233C2×D4—3161no—
1234C2×D4—3161no—
1235C2×D4—3161no—
1236C2×D4—3161no—
1237C2×D4—3161no—
1238C2×D4—3161no—
1239C2×D4—3161no—
1240C2×D4—3161no—
1241C2×D4—794no—
1242C2×D4—1582no—
1243C2×D4—1582no—
1244C2×D4—1582no—
1245C2×D4—1582no—
1246C2×D4—1582no—
1247C2×D4—1582no—
1248C2×D4—1582no—
1249C2×D4—1582no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—3161no—
1254C22×C4—3161no—
1255C22×C4—3161no—
1256C22×C4—3161no—
1257C22×C4—3161no—
1258C22×C4—3161no—
1259C22×C4—3161no—
1260C22×C4—3161no—
1261C22×C4—3161no—
1262C22×C4—3161no—
1263C22×C4—3161no—
1264C22×C4—794no—
1265C22×C4—794no—
1266C22×C4—791no—
1267C22×C4—791no—
1268C22×C4—791no—
1269C22×C4—791no—
1270C22×C4—791no—
1271C22×C4—791no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—1582no—
1279C22×C4—1582no—
1280C22×C4—1582no—
1281C22×C4—1582no—
1282C22×C4—1582no—
1283C22×C4C23×D7911yescharacteristic
1284C22×C4C23×D7911yescharacteristic
1285C22×C4C23×D7911yescharacteristic
1286C22×C4C23×D7911yescharacteristic
1287C22×C4C23×D7911yescharacteristic
1288C22×C4C23×D7911yescharacteristic
1289C22×C4C23×D7911yescharacteristic
1290C22×C4C23×D7911yescharacteristic
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—3161no—
1308C4⋊C4—3161no—
1309C4⋊C4—3161no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—1582no—
1320C4⋊C4—1582no—
1321C4⋊C4—1582no—
1322C4⋊C4—1582no—
1323C4⋊C4—1582no—
1324C4⋊C4—1582no—
1325C4⋊C4—1582no—
1326C4⋊C4—1582no—
1327C4⋊C4—1582no—
1328C4⋊C4—1582no—
1329C4⋊C4D4×D7914yes—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—3161no—
1342C22⋊C4—3161no—
1343C22⋊C4—3161no—
1344C22⋊C4—3161no—
1345C22⋊C4—3161no—
1346C22⋊C4—3161no—
1347C22⋊C4—3161no—
1348C22⋊C4—3161no—
1349C22⋊C4—3161no—
1350C22⋊C4—3161no—
1351C22⋊C4—3161no—
1352C22⋊C4—3161no—
1353C22⋊C4—3161no—
1354C22⋊C4—3161no—
1355C22⋊C4—3161no—
1356C22⋊C4—3161no—
1357C22⋊C4—3161no—
1358C22⋊C4—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—794no—
1367C22⋊C4—794no—
1368C22⋊C4—1582no—
1369C22⋊C4—1582no—
1370C22⋊C4—1582no—
1371C22⋊C4—1582no—
1372C22⋊C4—1582no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
1376C22⋊C4—1582no—
1377C22⋊C4—1582no—
1378C22⋊C4—1582no—
1379C22⋊C4—1582no—
1380C22⋊C4—1582no—
1381C22⋊C4—1582no—
1382C22⋊C4—1582no—
1383C22⋊C4—1582no—
1384C22⋊C4—1582no—
1385C22⋊C4—1582no—
1386C42—22no—
1387C42—41no—
1388C42—3161no—
1389C42—3161no—
1390C42—3161no—
1391C42—794no—
1392C42—1582no—
1393C42—1582no—
1394C42—1582no—
1395C42—1582no—
1396C42—1582no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—3164no—
1412C23—792no—
1413C23—792no—
1414C23—6322no—
1415C23—6322no—
1416C23—6322no—
1417C23—6322no—
1418C23—6322no—
1419C23—6322no—
1420C23—1581no—
1421C23—1581no—
1422C23—1581no—
1423C23—1581no—
1424C23—1581no—
1425C23—1581no—
1426C23—1581no—
1427C23—1581no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23—1581no—
1435C23—1581no—
1436C23—1581no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1581no—
1443C23—1581no—
1444C23—1581no—
1445C23—1581no—
1446C23C24×D7911yescharacteristic
1447Q8—3164no—
1448Q8—6322no—
1449D4—82no—
1450D4—3164no—
1451D4—3164no—
1452D4—3164no—
1453D4—3164no—
1454D4—6322no—
1455D4—6322no—
1456D4—6322no—
1457D4—6322no—
1458D4—6322no—
1459D4—6322no—
1460D4—6322no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—82no—
1497C2×C4—3164no—
1498C2×C4—3164no—
1499C2×C4—3164no—
1500C2×C4—3164no—
1501C2×C4—3164no—
1502C2×C4—792no—
1503C2×C4—792no—
1504C2×C4—6322no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4C2×D4×D7912yes—
1540C2×C4C2×D4×D7912yes—
1541C2×C4C2×D4×D7912yes—
1542C2×C4#1457920712yes—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—3161no—
1558C22—3161no—
1559C22—3161no—
1560C22—3161no—
1561C22—3161no—
1562C22—3161no—
1563C22—3161no—
1564C22—3161no—
1565C22—3161no—
1566C22—3161no—
1567C22—3161no—
1568C22—3161no—
1569C22—3161no—
1570C22—3161no—
1571C22—3161no—
1572C22—3161no—
1573C22—3161no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—3161no—
1578C22—3161no—
1579C22—6328no—
1580C22—1582no—
1581C22—1582no—
1582C22—1582no—
1583C22—1582no—
1584C22—1582no—
1585C22—1582no—
1586C22C22×D4×D7911yescharacteristic
1587C22C2×#1457920711yescharacteristic
1588C22#1909939811yescharacteristic
1589C22#1909939811yescharacteristic
1590C22#1909939911yescharacteristic
1591C22#1909940011yescharacteristic
1592C22#1909940011yescharacteristic
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—3161no—
1607C4—3161no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—1582no—
1617C4—1582no—
1618C2—81no—
1619C2—81no—
1620C2—3162no—
1621C2—3162no—
1622C2—6321no—
1623C2—6321no—
1624C2#2377672811yescharacteristic
1625C2#2377703711yescharacteristic
1626C2#2377706611yescharacteristic
1627C2#2377782811yescharacteristic
1628C2#2377799011yescharacteristic
1629C2#2377807911yescharacteristic
1630C2#2377809711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2707C2
hypercenter#2707D79
hypocenterC79#36973
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2707

Complements

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

NH ≅ G/Ntype
1. C2×#19099149C2semidirect
2. C2×#19099098C2semidirect
3. #23771730C2semidirect
4. #23771724C2semidirect
5. #23770361C2semidirect
6. #23770336C2semidirect
7. #23770147C2semidirect
8. #23770069C2semidirect
9. #23770043C2semidirect
10. #23770010C2semidirect
11. #23769958C2semidirect
12. #23769858C2semidirect
13. #23769796C2semidirect
14. #23769760C2semidirect
15. #23769723C2semidirect
16. #23769688C2semidirect
17. #23769684C2semidirect
18. #23769654C2semidirect
19. #23769623C2semidirect
20. #23769292C2semidirect
21. #23769250C2semidirect
22. #23769086C2semidirect
23. #23769036C2semidirect
24. #23769000C2semidirect
25. #23768986C2semidirect
26. #23768375C2semidirect
27. #23768291C2semidirect
28. #23767693C2semidirect
29. #23767669C2semidirect
30. #23766039C2semidirect
31. C79×#2707C2semidirect
33. C2×#14579160C22semidirect
37. C2×#14579156C22semidirect
46. C2×#14579146C22semidirect
48. C2×#14579143C22semidirect
50. C2×#14579141C22semidirect
58. C2×#14579126C22semidirect
61. C2×#14579123C22semidirect
64. C2×#14579119C22semidirect
66. C2×C42×D79C22semidirect
67. #19098505C22semidirect
68. #19098502C22semidirect
70. #19098500C22semidirect
73. #19098496C22semidirect
74. #19098492C22semidirect
79. #19098486C22semidirect
84. #19098485C22semidirect
85. #19098485C22semidirect
86. #19098484C22semidirect
87. #19098484C22semidirect
89. #19098481C22semidirect
98. #19098479C22semidirect
101. #19098476C22semidirect
107. #19098472C22semidirect
109. #19098467C22semidirect
116. #19098463C22semidirect
117. #19098462C22semidirect
118. #19098462C22semidirect
119. #19098462C22semidirect
120. #19098462C22semidirect
121. #19098461C22semidirect
122. #19098461C22semidirect
123. #19098459C22semidirect
124. #19098458C22semidirect
127. #19098457C22semidirect
131. #19098456C22semidirect
132. #19098456C22semidirect
135. #19098455C22semidirect
136. #19098455C22semidirect
137. #19098455C22semidirect
142. #19098453C22semidirect
145. #19098446C22semidirect
146. #19098445C22semidirect
147. #19098445C22semidirect
148. #19098444C22semidirect
149. #19098444C22semidirect
150. #19098442C22semidirect
156. #19098439C22semidirect
157. #19098439C22semidirect
160. #19098437C22semidirect
161. #19098434C22semidirect
162. #19098434C22semidirect
165. #19098425C22semidirect
166. #19098423C22semidirect
168. #19098420C22semidirect
172. C4⋊C4×Dic79C22semidirect
173. #19098409C22semidirect
174. C2×#125×C79C22semidirect
176. #398×C79C22semidirect
180. #396×C79C22semidirect
183. #389×C79C22semidirect
185. #388×C79C22semidirect
186. #387×C79C22semidirect
187. #385×C79C22semidirect
188. #380×C79C22semidirect
236. #14579123D4semidirect
823. #2707D79semidirect
847. C79#36973semidirect
855. C2×#125C2×D79semidirect
892. #398C2×D79semidirect
908. #396C2×D79semidirect
950. #389C2×D79semidirect
972. #388C2×D79semidirect
978. #387C2×D79semidirect
992. #385C2×D79semidirect
999. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991492
C2×#190990982
#237717302
#237717242
#237703612
#237703362
#237701472
#237700692
#237700432
#237700102
#237699582
#237698582
#237697962
#237697602
#237697232
#237696882
#237696842
#237696542
#237696232
#237692922
#237692502
#237690862
#237690362
#237690002
#237689862
#237683752
#237682912
#237676932
#237676692
#237660392
C79×#27072
#3697379