Finite Group Databasebeta

← #34495811

Subgroups — #34495811

Order 20224.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099178C211yesmaximal, characteristic, complemented
2C2×#19099146C211yesmaximal, characteristic, complemented
3#23771731C211yesmaximal, characteristic, complemented
4#23771701C211yesmaximal, characteristic, complemented
5#23770317C211yesmaximal, characteristic, complemented
6#23770224C211yesmaximal, characteristic, complemented
7#23770209C211yesmaximal, characteristic, complemented
8#23770168C211yesmaximal, characteristic, complemented
9#23769996C211yesmaximal, characteristic, complemented
10#23769972C211yesmaximal, characteristic, complemented
11#23769948C211yesmaximal, characteristic, complemented
12#23769879C211yesmaximal, characteristic, complemented
13#23769834C211yesmaximal, characteristic, complemented
14#23769804C211yesmaximal, characteristic, complemented
15#23769789C211yesmaximal, characteristic, complemented
16#23769779C211yesmaximal, characteristic, complemented
17#23769704C211yesmaximal, characteristic, complemented
18#23769684C211yesmaximal, characteristic, complemented
19#23769624C211yesmaximal, characteristic, complemented
20#23769606C211yesmaximal, characteristic, complemented
21#23769548C211yesmaximal, characteristic, complemented
22#23769526C211yesmaximal, characteristic, complemented
23#23769081C211yesmaximal, characteristic, complemented
24#23769038C211yesmaximal, characteristic, complemented
25#23769006C211yesmaximal, characteristic, complemented
26#23768991C211yesmaximal, characteristic, complemented
27#23768883C211yesmaximal, characteristic, complemented
28#23768553C211yesmaximal, characteristic, complemented
29#23766823C211yesmaximal, characteristic, complemented
30#23766779C211yesmaximal, characteristic, complemented
31C79×#2290C211yesmaximal, characteristic, complemented
32#19099178—28no—
33#19099146—28no—
34C2×#14579160C2211yescharacteristic, complemented
35C2×#14579156C2211yescharacteristic
36C2×#14579155C2211yescharacteristic
37C2×#14579154C2211yescharacteristic
38C2×#14579154C2211yescharacteristic, complemented
39C2×#14579149C2211yescharacteristic
40C2×#14579149C2211yescharacteristic
41C2×#14579148C2211yescharacteristic
42C2×#14579147C2211yescharacteristic
43C2×#14579147C2211yescharacteristic
44C2×#14579147C2211yescharacteristic, complemented
45C2×#14579146C2211yescharacteristic
46C2×#14579144C2211yescharacteristic
47C2×#14579144C2211yescharacteristic
48C2×#14579144C2211yescharacteristic, complemented
49C2×#14579141C2211yescharacteristic, complemented
50C2×#14579141C2211yescharacteristic, complemented
51C2×#14579140C2211yescharacteristic
52C2×#14579140C2211yescharacteristic, complemented
53C2×#14579138C2211yescharacteristic
54C2×#14579135C2211yescharacteristic
55C2×#14579135C2211yescharacteristic
56C2×#14579134C2211yescharacteristic
57C2×#14579133C2211yescharacteristic
58C2×#14579132C2211yescharacteristic
59C2×#14579131C2211yescharacteristic
60C2×#14579131C2211yescharacteristic
61C2×#14579129C2211yescharacteristic
62C2×C4×Dic158C2211yescharacteristic, complemented
63C2×C4×C22⋊D79C2211yescharacteristic
64C2×#14579118C2211yescharacteristic, complemented
65C22×(C2×D79)⋊C4C2211yescharacteristic
66#19098503C2211yescharacteristic, complemented
67#19098503C2211yescharacteristic, complemented
68#19098500C2211yescharacteristic
69#19098500C2211yescharacteristic
70#19098495C2211yescharacteristic, complemented
71#19098493C2211yescharacteristic, complemented
72#19098490C2211yescharacteristic
73#19098490C2211yescharacteristic
74#19098490C2211yescharacteristic
75#19098490C2211yescharacteristic, complemented
76#19098490C2211yescharacteristic, complemented
77#19098488C2211yescharacteristic
78#19098488C2211yescharacteristic
79#19098488C2211yescharacteristic
80#19098488C2211yescharacteristic, complemented
81#19098488C2211yescharacteristic, complemented
82#19098485C2211yescharacteristic
83#19098485C2211yescharacteristic
84#19098485C2211yescharacteristic
85#19098485C2211yescharacteristic, complemented
86#19098484C2211yescharacteristic, complemented
87#19098484C2211yescharacteristic, complemented
88#19098484C2211yescharacteristic, complemented
89#19098481C2211yescharacteristic
90#19098481C2211yescharacteristic
91#19098480C2211yescharacteristic
92#19098480C2211yescharacteristic
93#19098480C2211yescharacteristic
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic
97#19098479C2211yescharacteristic
98#19098479C2211yescharacteristic
99#19098479C2211yescharacteristic
100#19098479C2211yescharacteristic
101#19098479C2211yescharacteristic, complemented
102#19098476C2211yescharacteristic
103#19098476C2211yescharacteristic
104#19098476C2211yescharacteristic
105#19098476C2211yescharacteristic
106#19098476C2211yescharacteristic
107#19098476C2211yescharacteristic, complemented
108#19098476C2211yescharacteristic, complemented
109#19098473C2211yescharacteristic
110#19098473C2211yescharacteristic
111#19098472C2211yescharacteristic
112#19098472C2211yescharacteristic
113#19098472C2211yescharacteristic, complemented
114#19098469C2211yescharacteristic, complemented
115#19098468C2211yescharacteristic, complemented
116#19098468C2211yescharacteristic, complemented
117#19098468C2211yescharacteristic, complemented
118#19098465C2211yescharacteristic
119#19098465C2211yescharacteristic
120#19098465C2211yescharacteristic
121#19098465C2211yescharacteristic
122#19098465C2211yescharacteristic, complemented
123#19098464C2211yescharacteristic
124#19098464C2211yescharacteristic
125#19098462C2211yescharacteristic, complemented
126#19098461C2211yescharacteristic, complemented
127#19098461C2211yescharacteristic, complemented
128#19098461C2211yescharacteristic, complemented
129#19098461C2211yescharacteristic, complemented
130#19098455C2211yescharacteristic
131#19098455C2211yescharacteristic
132#19098455C2211yescharacteristic
133#19098455C2211yescharacteristic
134#19098455C2211yescharacteristic, complemented
135#19098455C2211yescharacteristic, complemented
136#19098454C2211yescharacteristic
137#19098454C2211yescharacteristic
138#19098454C2211yescharacteristic
139#19098454C2211yescharacteristic
140#19098454C2211yescharacteristic
141#19098454C2211yescharacteristic
142#19098454C2211yescharacteristic
143#19098454C2211yescharacteristic, complemented
144#19098454C2211yescharacteristic, complemented
145#19098454C2211yescharacteristic, complemented
146#19098454C2211yescharacteristic, complemented
147#19098454C2211yescharacteristic, complemented
148#19098448C2211yescharacteristic, complemented
149#19098448C2211yescharacteristic, complemented
150#19098448C2211yescharacteristic, complemented
151#19098448C2211yescharacteristic, complemented
152#19098442C2211yescharacteristic
153#19098442C2211yescharacteristic
154#19098442C2211yescharacteristic
155#19098442C2211yescharacteristic, complemented
156#19098442C2211yescharacteristic, complemented
157#19098442C2211yescharacteristic, complemented
158#19098441C2211yescharacteristic
159#19098441C2211yescharacteristic
160#19098441C2211yescharacteristic, complemented
161#19098441C2211yescharacteristic, complemented
162#19098440C2211yescharacteristic
163#19098438C2211yescharacteristic
164#19098437C2211yescharacteristic, complemented
165#19098437C2211yescharacteristic, complemented
166#19098429C2211yescharacteristic, complemented
167#19098424C2211yescharacteristic
168#19098424C2211yescharacteristic
169#19098423C2211yescharacteristic, complemented
170#19098420C2211yescharacteristic, complemented
171#19098418C2211yescharacteristic
172#19098418C2211yescharacteristic
173#19098418C2211yescharacteristic
174C2×C4×D4×C79C2211yescharacteristic
175C2×#117×C79C2211yescharacteristic
176C22×C42×C79C2211yescharacteristic, complemented
177#388×C79C2211yescharacteristic
178#388×C79C2211yescharacteristic
179#387×C79C2211yescharacteristic, complemented
180#387×C79C2211yescharacteristic, complemented
181#386×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#385×C79C2211yescharacteristic, complemented
184#385×C79C2211yescharacteristic, complemented
185C4×C4⋊C4×C79C2211yescharacteristic, complemented
186C4×C22⋊C4×C79C2211yescharacteristic
187C4×C22⋊C4×C79C2211yescharacteristic, complemented
188#376×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×Dic158C2311yescharacteristic
193C22×Dic158C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208#14579160—24no—
209#14579156—24no—
210#14579155—24no—
211#14579154—24no—
212#14579154—24no—
213#14579149—24no—
214#14579149—42no—
215#14579148—24no—
216#14579147—24no—
217#14579147—24no—
218#14579147—24no—
219#14579146—24no—
220#14579144—24no—
221#14579144—24no—
222#14579144—24no—
223#14579141—24no—
224#14579141—42no—
225#14579140—24no—
226#14579140—24no—
227#14579138—24no—
228#14579135—24no—
229#14579135—42no—
230#14579134—24no—
231#14579133—24no—
232#14579132—24no—
233#14579131—24no—
234#14579131—42no—
235#14579129—24no—
236C4×Dic158—24no—
237C4×C22⋊D79—24no—
238#14579118—24no—
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
248C2×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×(C2×D79)⋊C4—24no—
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
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
314C2×C4×Dic79C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C22×D4×C79C2311yescharacteristic
342C23×C4×C79C2311yescharacteristic
343C23×C4×C79C2311yescharacteristic
344C23×C4×C79C2311yescharacteristic
345C23×C4×C79C2311yescharacteristic
346C4×D4×C79D418yescomplemented
347#117×C79—42no—
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C4⋊C4×C79C2311yescharacteristic
350C2×C4⋊C4×C79C2311yescharacteristic
351C2×C4⋊C4×C79C2311yescharacteristic
352C2×C4⋊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×C22⋊C4×C79C2311yescharacteristic
361C2×C42×C79—42no—
362C2×C42×C79C2311yescharacteristic
363C2×C42×C79C2311yescharacteristic
364C2×C42×C79C2311yescharacteristic
365C2×C42×C79C2311yescharacteristic
366C2×C42×C79C2311yescharacteristic
367C2×C42×C79C2311yescharacteristic
368C2×C42×C79C2311yescharacteristic
369#95×C79C2311yescharacteristic
370#95×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—22no—
394C2×Dic158—41no—
395C2×Dic158—41no—
396C2×Dic158—41no—
397C2×Dic158—41no—
398C2×Dic158—41no—
399C2×Dic158—41no—
400C2×Dic158—41no—
401C2×Dic158—41no—
402C2×D316—22no—
403C2×D316—22no—
404C2×D316—22no—
405C2×D316—41no—
406C2×D316—41no—
407C2×D316—41no—
408C2×D316—41no—
409C2×D316—41no—
410C2×D316—41no—
411C2×D316—41no—
412C2×D316—41no—
413C2×D316—41no—
414C2×D316—41no—
415C2×D316—41no—
416C2×D316—41no—
417C2×C22⋊D79—22no—
418C2×C22⋊D79—22no—
419C2×C22⋊D79—22no—
420C2×C22⋊D79—22no—
421C2×C22⋊D79—22no—
422C2×C22⋊D79—22no—
423C2×C22⋊D79—41no—
424C2×C22⋊D79—41no—
425C2×C22⋊D79—41no—
426C2×C22⋊D79—41no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79—41no—
429C2×C22⋊D79—41no—
430C2×C22⋊D79—41no—
431C2×C22⋊D79—41no—
432C2×C22⋊D79—41no—
433C2×C22⋊D79—41no—
434C2×C22⋊D79—41no—
435C22×Dic79—22no—
436C22×Dic79—41no—
437C22×Dic79—41no—
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C22×Dic79C2411yescharacteristic
449C22×Dic79C2411yescharacteristic
450C2×C4×D79—22no—
451C2×C4×D79—22no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—41no—
455C2×C4×D79—41no—
456C4⋊Dic79—22no—
457C4⋊Dic79—22no—
458C4⋊Dic79—22no—
459C4⋊Dic79—22no—
460C4⋊Dic79—22no—
461C4⋊Dic79—41no—
462C4⋊Dic79—41no—
463C4⋊Dic79—41no—
464C4⋊Dic79—41no—
465C4⋊Dic79—41no—
466C4⋊Dic79—41no—
467C4⋊Dic79—41no—
468C4⋊Dic79—41no—
469Dic79⋊C4—22no—
470Dic79⋊C4—22no—
471Dic79⋊C4—22no—
472Dic79⋊C4—22no—
473Dic79⋊C4—22no—
474Dic79⋊C4—22no—
475Dic79⋊C4—22no—
476Dic79⋊C4—22no—
477Dic79⋊C4—22no—
478Dic79⋊C4—22no—
479C22⋊Dic79—22no—
480C22⋊Dic79—22no—
481C22⋊Dic79—22no—
482C22⋊Dic79—22no—
483C22⋊Dic79—22no—
484C22⋊Dic79—22no—
485C22⋊Dic79—22no—
486C22⋊Dic79—22no—
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—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—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—
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)⋊C4—41no—
525(C2×D79)⋊C4—41no—
526(C2×D79)⋊C4—41no—
527C4×Dic79—22no—
528C4×Dic79—22no—
529C4×Dic79—22no—
530C4×Dic79—22no—
531C24×C79C2411yescharacteristic
532C24×C79C2411yescharacteristic
533C2×D4×C79—41no—
534C2×D4×C79—41no—
535C2×D4×C79C2×D414yes—
536C22×C4×C79—22no—
537C22×C4×C79—41no—
538C22×C4×C79—41no—
539C22×C4×C79—41no—
540C22×C4×C79—41no—
541C22×C4×C79—41no—
542C22×C4×C79—41no—
543C22×C4×C79—41no—
544C22×C4×C79—41no—
545C22×C4×C79—41no—
546C22×C4×C79C2×D414yes—
547C22×C4×C79C2×D414yes—
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
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C4⋊C4×C79—22no—
562C4⋊C4×C79—41no—
563C4⋊C4×C79—41no—
564C4⋊C4×C79—41no—
565C4⋊C4×C79C2×D414yes—
566C22⋊C4×C79—22no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79C2×D414yes—
573C22⋊C4×C79C2×D414yes—
574C42×C79—22no—
575C42×C79—22no—
576C42×C79—41no—
577C42×C79—41no—
578C42×C79—41no—
579C42×C79—41no—
580C42×C79C2×D414yes—
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×C79C22×D412yes—
594C23×C79C22×D412yes—
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—21no—
623C22×D79—21no—
624C22×D79—44no—
625C22×D79—82no—
626C22×D79—82no—
627C22×D79—82no—
628C22×D79—82no—
629C22×D79—82no—
630C22×D79—82no—
631D4×C79—44no—
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—44no—
666C2×C4×C79—44no—
667C2×C4×C79—44no—
668C2×C4×C79—44no—
669C2×C4×C79C22×D412yes—
670C2×C4×C79C22×D412yes—
671C2×C4×C79C22×D412yes—
672C2×C4×C79C22×D412yes—
673C2×C4×C79C22×D412yes—
674C2×C4×C79H(5,𝔽2)12yes—
675C22⋊D79—44no—
676C22⋊D79—82no—
677C22⋊D79—82no—
678C22⋊D79—82no—
679C22⋊D79—82no—
680C22⋊D79—82no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—82no—
718D316—82no—
719D316—82no—
720D316—82no—
721D316—82no—
722D316—82no—
723C4×D79—44no—
724C4×D79—82no—
725Dic158—44no—
726Dic158—82no—
727Dic158—82no—
728Dic158—82no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79C23×D411yescharacteristic
744C22×C79C2×H(5,𝔽2)11yescharacteristic
745C22×C79#58511yescharacteristic
746C22×C79#58511yescharacteristic
747C22×C79#58511yescharacteristic
748C22×C79#58511yescharacteristic
749C22×C79#58511yescharacteristic
750C2×D79—41no—
751C2×D79—41no—
752C2×D79—41no—
753C2×D79—41no—
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—41no—
777C2×D79—41no—
778C2×D79—88no—
779C4×C79—22no—
780C4×C79—22no—
781C4×C79—22no—
782C4×C79—22no—
783C4×C79—22no—
784C4×C79—22no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790C4×C79—41no—
791C4×C79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802Dic79—41no—
803Dic79—41no—
804#36745—791nomaximal, Sylow
805C2×C79—42no—
806C2×C79—42no—
807C2×C79#344911yescharacteristic
808C2×C79#349611yescharacteristic
809C2×C79#350011yescharacteristic
810C2×C79#353311yescharacteristic
811C2×C79#354011yescharacteristic
812C2×C79#356611yescharacteristic
813C2×C79#356811yescharacteristic
814D79—81no—
815D79—81no—
816D79—81no—
817D79—81no—
818C2×#542—791no—
819C2×#538—791no—
820#2854—791no—
821#2850—791no—
822#2723—791no—
823#2716—791no—
824#2715—791no—
825#2712—791no—
826#2700—791no—
827#2698—791no—
828#2696—791no—
829#2691—791no—
830#2688—791no—
831#2686—791no—
832#2685—791no—
833#2684—791no—
834#2676—791no—
835#2674—791no—
836#2670—791no—
837#2668—791no—
838#2663—791no—
839#2661—791no—
840#2610—791no—
841#2604—791no—
842#2602—791no—
843#2601—791no—
844#2592—791no—
845#2561—791no—
846#2415—791no—
847#2411—791no—
848#2290D7911yescharacteristic, complemented
849C79#3674511yescharacteristic, complemented, Sylow
850#542—1588no—
851#538—1588no—
852C2×C4⋊Q8—791no—
853C2×#126—791no—
854C2×#126—791no—
855C2×#126—791no—
856C2×#126—791no—
857C2×#124—791no—
858C2×#124—791no—
859C2×#124—791no—
860C2×#124—791no—
861C2×#124—791no—
862C2×#124—791no—
863C2×#123—791no—
864C2×#123—791no—
865C2×#123—791no—
866C2×#123—791no—
867C2×C22⋊Q8—791no—
868C2×C22⋊Q8—791no—
869C2×C22⋊Q8—791no—
870C2×C22⋊Q8—791no—
871C2×C22⋊Q8—791no—
872C2×#121—791no—
873C2×#121—791no—
874C2×#121—791no—
875C2×#121—791no—
876C2×#121—791no—
877C2×#120—791no—
878C2×#120—791no—
879C2×#120—791no—
880C2×C4×Q8—791no—
881C2×C4×D4—791no—
882C2×C4×D4C2×D7911yescharacteristic
883C2×#117—791no—
884C2×#117C2×D7911yescharacteristic
885C22×C22⋊C4—791no—
886C22×C42C2×D7911yescharacteristic, complemented
887#400—791no—
888#400—791no—
889#399—791no—
890#399—791no—
891#398—791no—
892#398—791no—
893#397—791no—
894#397—791no—
895#397—791no—
896#397—791no—
897#397—791no—
898#397—791no—
899#397—791no—
900#397—791no—
901#397—791no—
902#397—791no—
903#396—791no—
904#396—791no—
905#396—791no—
906#396—791no—
907#395—791no—
908#395—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#394—791no—
923#393—791no—
924#393—791no—
925#393—791no—
926#393—791no—
927#393—791no—
928#393—791no—
929#393—791no—
930#392—791no—
931#392—791no—
932#392—791no—
933#392—791no—
934#392—791no—
935#391—791no—
936#391—791no—
937#391—791no—
938#391—791no—
939#390—791no—
940#390—791no—
941#390—791no—
942#390—791no—
943#390—791no—
944#390—791no—
945#390—791no—
946#389—791no—
947#389—791no—
948#389—791no—
949#389—791no—
950#389—791no—
951#388—791no—
952#388—791no—
953#388—791no—
954#388—791no—
955#388—791no—
956#388—791no—
957#388—791no—
958#388—791no—
959#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#388C2×D7911yescharacteristic
970#388C2×D7911yescharacteristic
971#387—791no—
972#387—791no—
973#387—791no—
974#387—791no—
975#387C2×D7911yescharacteristic, complemented
976#387C2×D7911yescharacteristic, complemented
977#386—791no—
978#386—791no—
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#386—791no—
988#386C2×D7911yescharacteristic
989#386C2×D7911yescharacteristic
990#385—791no—
991#385—791no—
992#385—791no—
993#385C2×D7911yescharacteristic, complemented
994#385C2×D7911yescharacteristic, complemented
995#382—791no—
996#381—791no—
997#381—791no—
998#380—791no—
999#380—791no—
1000#379—791no—
1001#379—791no—
1002#379—791no—
1003C4×C4⋊C4C2×D7911yescharacteristic, complemented
1004C4×C22⋊C4C2×D7911yescharacteristic
1005C4×C22⋊C4C2×D7911yescharacteristic, complemented
1006#376C2×D7911yescharacteristic, complemented
1007C25—791no—
1008C22×Q8—791no—
1009C22×Q8—791no—
1010C22×Q8—791no—
1011C22×Q8—791no—
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4—791no—
1017C22×D4—791no—
1018C22×D4—791no—
1019C22×D4—791no—
1020C22×D4—791no—
1021C22×D4—791no—
1022C22×D4—791no—
1023C22×D4C22×D7911yescharacteristic
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4C22×D7911yescharacteristic
1028C23×C4C22×D7911yescharacteristic
1029C23×C4C22×D7911yescharacteristic
1030C23×C4C22×D7911yescharacteristic
1031C4⋊Q8—1584no—
1032#126—1584no—
1033#126—1584no—
1034#126—1584no—
1035#126—1584no—
1036#124—3162no—
1037#124—1584no—
1038#124—1584no—
1039#124—1584no—
1040#124—1584no—
1041#124—1584no—
1042#123—1584no—
1043#123—1584no—
1044#123—1584no—
1045#123—1584no—
1046C22⋊Q8—3162no—
1047C22⋊Q8—1584no—
1048C22⋊Q8—1584no—
1049C22⋊Q8—1584no—
1050C22⋊Q8—1584no—
1051#121—3162no—
1052#121—1584no—
1053#121—1584no—
1054#121—1584no—
1055#121—1584no—
1056#120—3162no—
1057#120—1584no—
1058#120—1584no—
1059C4×Q8—1584no—
1060C4×D4—1584no—
1061C4×D4D31618yescomplemented
1062#117—42no—
1063#117—1584no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4—791no—
1081C2×C4⋊C4—791no—
1082C2×C4⋊C4—791no—
1083C2×C4⋊C4—791no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4C22×D7911yescharacteristic
1088C2×C4⋊C4C22×D7911yescharacteristic
1089C2×C4⋊C4C22×D7911yescharacteristic
1090C2×C4⋊C4C22×D7911yescharacteristic
1091C2×C4⋊C4C22×D7911yescharacteristic
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—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—1584no—
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×C42—42no—
1150C2×C42—791no—
1151C2×C42—791no—
1152C2×C42—791no—
1153C2×C42—791no—
1154C2×C42C22×D7911yescharacteristic
1155C2×C42C22×D7911yescharacteristic
1156C2×C42C22×D7911yescharacteristic
1157C2×C42C22×D7911yescharacteristic
1158C2×C42C22×D7911yescharacteristic
1159C2×C42C22×D7911yescharacteristic
1160C2×C42C22×D7911yescharacteristic
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95—791no—
1180#95—791no—
1181#95—791no—
1182#95—791no—
1183#95—791no—
1184#95—791no—
1185#95—791no—
1186#95—791no—
1187#95C22×D7911yescharacteristic
1188#95C22×D7911yescharacteristic
1189#95C22×D7911yescharacteristic
1190#95C22×D7911yescharacteristic
1191#95C22×D7911yescharacteristic
1192#95C22×D7911yescharacteristic
1193#95C22×D7911yescharacteristic
1194#95C22×D7911yescharacteristic
1195#95C22×D7911yescharacteristic
1196#95C22×D7911yescharacteristic
1197C24—3161no—
1198C24—3161no—
1199C24—3161no—
1200C24—3161no—
1201C24—3161no—
1202C24—3161no—
1203C24—791no—
1204C24—791no—
1205C24—791no—
1206C24—791no—
1207C24—1582no—
1208C24C23×D7911yescharacteristic
1209C24C23×D7911yescharacteristic
1210C2×Q8—3161no—
1211C2×Q8—3161no—
1212C2×Q8—3161no—
1213C2×Q8—3161no—
1214C2×Q8—3161no—
1215C2×Q8—3161no—
1216C2×Q8—3161no—
1217C2×Q8—3161no—
1218C2×Q8—1582no—
1219C2×Q8—1582no—
1220C2×Q8—1582no—
1221C2×Q8—1582no—
1222C2×D4—41no—
1223C2×D4—41no—
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—3161no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—1582no—
1249C2×D4—1582no—
1250C2×D4—1582no—
1251C2×D4—1582no—
1252C2×D4—1582no—
1253C2×D4—1582no—
1254C2×D4—1582no—
1255C2×D4—1582no—
1256C2×D4—1582no—
1257C2×D4C2×D31614yes—
1258C22×C4—22no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—3161no—
1269C22×C4—3161no—
1270C22×C4—3161no—
1271C22×C4—3161no—
1272C22×C4—3161no—
1273C22×C4—3161no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—791no—
1280C22×C4—791no—
1281C22×C4—791no—
1282C22×C4—791no—
1283C22×C4—791no—
1284C22×C4—791no—
1285C22×C4—791no—
1286C22×C4—1582no—
1287C22×C4—1582no—
1288C22×C4—1582no—
1289C22×C4C2×D31614yes—
1290C22×C4C2×D31614yes—
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C22×C4C23×D7911yescharacteristic
1300C22×C4C23×D7911yescharacteristic
1301C22×C4C23×D7911yescharacteristic
1302C22×C4C23×D7911yescharacteristic
1303C22×C4C23×D7911yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
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—1582no—
1317C4⋊C4—1582no—
1318C4⋊C4—1582no—
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⋊C4—1582no—
1330C4⋊C4—1582no—
1331C4⋊C4C2×D31614yes—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—3161no—
1339C22⋊C4—3161no—
1340C22⋊C4—3161no—
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—1582no—
1363C22⋊C4—1582no—
1364C22⋊C4—1582no—
1365C22⋊C4—1582no—
1366C22⋊C4—1582no—
1367C22⋊C4—1582no—
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—
1386C22⋊C4C2×D31614yes—
1387C22⋊C4C2×D31614yes—
1388C42—22no—
1389C42—22no—
1390C42—41no—
1391C42—41no—
1392C42—41no—
1393C42—41no—
1394C42—1582no—
1395C42—1582no—
1396C42—1582no—
1397C42—1582no—
1398C42C2×D31614yes—
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—6322no—
1413C23—6322no—
1414C23—6322no—
1415C23—6322no—
1416C23—6322no—
1417C23—6322no—
1418C23—1581no—
1419C23—1581no—
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—
1446C23C22×D31612yes—
1447C23C22×D31612yes—
1448C23C24×D7911yescharacteristic
1449Q8—3164no—
1450Q8—6322no—
1451Q8—6322no—
1452Q8—6322no—
1453D4—44no—
1454D4—3164no—
1455D4—6322no—
1456D4—6322no—
1457D4—6322no—
1458D4—6322no—
1459D4—6322no—
1460D4—6322no—
1461D4—6322no—
1462D4—6322no—
1463D4—6322no—
1464D4—6322no—
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—21no—
1497C2×C4—21no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—3164no—
1503C2×C4—6322no—
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×C4—1581no—
1540C2×C4—1581no—
1541C2×C4C22×D31612yes—
1542C2×C4C22×D31612yes—
1543C2×C4C22×D31612yes—
1544C2×C4C22×D31612yes—
1545C2×C4C22×D31612yes—
1546C2×C4#1457920612yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
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—3161no—
1580C22—3161no—
1581C22—3161no—
1582C22—3161no—
1583C22—3161no—
1584C22—3161no—
1585C22—3161no—
1586C22—3161no—
1587C22—3161no—
1588C22—3161no—
1589C22—6328no—
1590C22C23×D31611yescharacteristic
1591C22C2×#1457920611yescharacteristic
1592C22#1909939911yescharacteristic
1593C22#1909939911yescharacteristic
1594C22#1909939911yescharacteristic
1595C22#1909939911yescharacteristic
1596C22#1909939911yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—3161no—
1619C4—3161no—
1620C4—3161no—
1621C4—3161no—
1622C2—42no—
1623C2—42no—
1624C2—6321no—
1625C2—6321no—
1626C2—6321no—
1627C2—6321no—
1628C2#2377673311yescharacteristic
1629C2#2377716411yescharacteristic
1630C2#2377719311yescharacteristic
1631C2#2377756411yescharacteristic
1632C2#2377766811yescharacteristic
1633C2#2377806811yescharacteristic
1634C2#2377809611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2290C2
hypercenter#2290D79
hypocenterC79#36745
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2290

Complements

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

NH ≅ G/Ntype
1. C2×#19099178C2semidirect
2. C2×#19099146C2semidirect
3. #23771731C2semidirect
4. #23771701C2semidirect
5. #23770317C2semidirect
6. #23770224C2semidirect
7. #23770209C2semidirect
8. #23770168C2semidirect
9. #23769996C2semidirect
10. #23769972C2semidirect
11. #23769948C2semidirect
12. #23769879C2semidirect
13. #23769834C2semidirect
14. #23769804C2semidirect
15. #23769789C2semidirect
16. #23769779C2semidirect
17. #23769704C2semidirect
18. #23769684C2semidirect
19. #23769624C2semidirect
20. #23769606C2semidirect
21. #23769548C2semidirect
22. #23769526C2semidirect
23. #23769081C2semidirect
24. #23769038C2semidirect
25. #23769006C2semidirect
26. #23768991C2semidirect
27. #23768883C2semidirect
28. #23768553C2semidirect
29. #23766823C2semidirect
30. #23766779C2semidirect
31. C79×#2290C2semidirect
34. C2×#14579160C22semidirect
38. C2×#14579154C22semidirect
44. C2×#14579147C22semidirect
48. C2×#14579144C22semidirect
49. C2×#14579141C22semidirect
50. C2×#14579141C22semidirect
52. C2×#14579140C22semidirect
62. C2×C4×Dic158C22semidirect
64. C2×#14579118C22semidirect
66. #19098503C22semidirect
67. #19098503C22semidirect
70. #19098495C22semidirect
71. #19098493C22semidirect
75. #19098490C22semidirect
76. #19098490C22semidirect
80. #19098488C22semidirect
81. #19098488C22semidirect
85. #19098485C22semidirect
86. #19098484C22semidirect
87. #19098484C22semidirect
88. #19098484C22semidirect
101. #19098479C22semidirect
107. #19098476C22semidirect
108. #19098476C22semidirect
113. #19098472C22semidirect
114. #19098469C22semidirect
115. #19098468C22semidirect
116. #19098468C22semidirect
117. #19098468C22semidirect
122. #19098465C22semidirect
125. #19098462C22semidirect
126. #19098461C22semidirect
127. #19098461C22semidirect
128. #19098461C22semidirect
129. #19098461C22semidirect
134. #19098455C22semidirect
135. #19098455C22semidirect
143. #19098454C22semidirect
144. #19098454C22semidirect
145. #19098454C22semidirect
146. #19098454C22semidirect
147. #19098454C22semidirect
148. #19098448C22semidirect
149. #19098448C22semidirect
150. #19098448C22semidirect
151. #19098448C22semidirect
155. #19098442C22semidirect
156. #19098442C22semidirect
157. #19098442C22semidirect
160. #19098441C22semidirect
161. #19098441C22semidirect
164. #19098437C22semidirect
165. #19098437C22semidirect
166. #19098429C22semidirect
169. #19098423C22semidirect
170. #19098420C22semidirect
176. C22×C42×C79C22semidirect
179. #387×C79C22semidirect
180. #387×C79C22semidirect
183. #385×C79C22semidirect
184. #385×C79C22semidirect
185. C4×C4⋊C4×C79C22semidirect
187. C4×C22⋊C4×C79C22semidirect
188. #376×C79C22semidirect
346. C4×D4×C79D4semidirect
848. #2290D79semidirect
849. C79#36745semidirect
886. C22×C42C2×D79semidirect
975. #387C2×D79semidirect
976. #387C2×D79semidirect
993. #385C2×D79semidirect
994. #385C2×D79semidirect
1003. C4×C4⋊C4C2×D79semidirect
1005. C4×C22⋊C4C2×D79semidirect
1006. #376C2×D79semidirect
1061. C4×D4D316semidirect

Maximal subgroups

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

subgroupindex
C2×#190991782
C2×#190991462
#237717312
#237717012
#237703172
#237702242
#237702092
#237701682
#237699962
#237699722
#237699482
#237698792
#237698342
#237698042
#237697892
#237697792
#237697042
#237696842
#237696242
#237696062
#237695482
#237695262
#237690812
#237690382
#237690062
#237689912
#237688832
#237685532
#237668232
#237667792
C79×#22902
#3674579