Finite Group Databasebeta

← #33293842

Subgroups — #33293842

Order 18688.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22618215C211yesmaximal, characteristic, complemented
2#22618210C211yesmaximal, characteristic, complemented
3#22617782C211yesmaximal, characteristic, complemented
4#22617591C211yesmaximal, characteristic, complemented
5#22617566C211yesmaximal, characteristic, complemented
6#22617543C211yesmaximal, characteristic, complemented
7#22617542C211yesmaximal, characteristic, complemented
8#22617252C211yesmaximal, characteristic, complemented
9#22617210C211yesmaximal, characteristic, complemented
10#22617154C211yesmaximal, characteristic, complemented
11#22617050C211yesmaximal, characteristic, complemented
12#22616924C211yesmaximal, characteristic, complemented
13#22616732C211yesmaximal, characteristic, complemented
14#22616570C211yesmaximal, characteristic, complemented
15#22616555C211yesmaximal, characteristic, complemented
16#22616488C211yesmaximal, characteristic, complemented
17#22616363C211yesmaximal, characteristic, complemented
18#22615642C211yesmaximal, characteristic, complemented
19#22615642C211yesmaximal, characteristic, complemented
20#22614323C211yesmaximal, characteristic, complemented
21#22614250C211yesmaximal, characteristic, complemented
22#22614180C211yesmaximal, characteristic, complemented
23#22614053C211yesmaximal, characteristic, complemented
24#22613483C211yesmaximal, characteristic, complemented
25#22613464C211yesmaximal, characteristic, complemented
26#22613407C211yesmaximal, characteristic, complemented
27#22613388C211yesmaximal, characteristic, complemented
28#22612590C211yesmaximal, characteristic, complemented
29#22612587C211yesmaximal, characteristic, complemented
30#386×D73C211yesmaximal, characteristic, complemented
31C73×#2676C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C23×C4×D73C2211yescharacteristic
34C2×#14556586C2211yescharacteristic, complemented
35C2×#14556575C2211yescharacteristic, complemented
36C2×#14556573C2211yescharacteristic
37C2×#14556573C2211yescharacteristic
38C2×#14556567C2211yescharacteristic
39C2×#14556567C2211yescharacteristic, complemented
40C2×#14556562C2211yescharacteristic
41C2×#14556562C2211yescharacteristic, complemented
42C2×#14556559C2211yescharacteristic
43C2×#14556559C2211yescharacteristic
44C2×#14556559C2211yescharacteristic
45C2×#14556559C2211yescharacteristic
46C2×C4×C22⋊D73C2211yescharacteristic
47C2×#14556551C2211yescharacteristic
48C2×C22⋊C4×D73C2211yescharacteristic
49C2×C22⋊C4×D73C2211yescharacteristic
50C2×C22⋊C4×D73C2211yescharacteristic
51C73⋊#401C2211yescharacteristic, complemented
52#17988529C2211yescharacteristic, complemented
53#17988529C2211yescharacteristic, complemented
54#17988528C2211yescharacteristic, complemented
55#17988527C2211yescharacteristic, complemented
56#17988526C2211yescharacteristic, complemented
57#17988526C2211yescharacteristic, complemented
58#17988523C2211yescharacteristic, complemented
59#17988521C2211yescharacteristic, complemented
60#17988520C2211yescharacteristic, complemented
61#17988516C2211yescharacteristic, complemented
62#17988516C2211yescharacteristic, complemented
63#17988515C2211yescharacteristic, complemented
64#17988515C2211yescharacteristic, complemented
65#17988515C2211yescharacteristic, complemented
66#17988513C2211yescharacteristic, complemented
67#17988512C2211yescharacteristic, complemented
68#17988512C2211yescharacteristic, complemented
69#17988512C2211yescharacteristic, complemented
70#17988510C2211yescharacteristic, complemented
71#17988509C2211yescharacteristic, complemented
72#17988505C2211yescharacteristic
73#17988505C2211yescharacteristic
74#17988503C2211yescharacteristic
75#17988503C2211yescharacteristic
76#17988503C2211yescharacteristic
77#17988503C2211yescharacteristic
78#17988503C2211yescharacteristic, complemented
79#17988502C2211yescharacteristic, complemented
80#17988501C2211yescharacteristic
81#17988501C2211yescharacteristic
82#17988501C2211yescharacteristic, complemented
83#17988501C2211yescharacteristic, complemented
84#17988501C2211yescharacteristic, complemented
85#17988498C2211yescharacteristic, complemented
86#17988496C2211yescharacteristic
87#17988496C2211yescharacteristic
88#17988495C2211yescharacteristic
89#17988495C2211yescharacteristic
90#17988495C2211yescharacteristic
91#17988495C2211yescharacteristic
92#17988495C2211yescharacteristic, complemented
93#17988494C2211yescharacteristic, complemented
94#17988490C2211yescharacteristic, complemented
95#17988487C2211yescharacteristic, complemented
96#17988487C2211yescharacteristic, complemented
97#17988487C2211yescharacteristic, complemented
98#17988487C2211yescharacteristic, complemented
99#17988486C2211yescharacteristic, complemented
100#17988481C2211yescharacteristic, complemented
101#17988481C2211yescharacteristic, complemented
102#17988481C2211yescharacteristic, complemented
103#17988481C2211yescharacteristic, complemented
104#17988480C2211yescharacteristic, complemented
105#17988480C2211yescharacteristic, complemented
106#17988480C2211yescharacteristic, complemented
107#17988480C2211yescharacteristic, complemented
108#17988479C2211yescharacteristic, complemented
109#17988478C2211yescharacteristic, complemented
110#17988478C2211yescharacteristic, complemented
111#17988477C2211yescharacteristic, complemented
112#17988477C2211yescharacteristic, complemented
113#17988477C2211yescharacteristic, complemented
114#17988476C2211yescharacteristic, complemented
115#17988475C2211yescharacteristic, complemented
116#17988475C2211yescharacteristic, complemented
117#17988475C2211yescharacteristic, complemented
118#17988475C2211yescharacteristic, complemented
119#17988473C2211yescharacteristic, complemented
120#17988472C2211yescharacteristic, complemented
121#17988471C2211yescharacteristic, complemented
122#17988470C2211yescharacteristic, complemented
123#17988467C2211yescharacteristic
124#17988467C2211yescharacteristic, complemented
125#17988467C2211yescharacteristic, complemented
126#17988467C2211yescharacteristic, complemented
127#17988467C2211yescharacteristic, complemented
128#17988467C2211yescharacteristic, complemented
129#17988466C2211yescharacteristic
130#17988466C2211yescharacteristic, complemented
131#17988466C2211yescharacteristic, complemented
132#17988465C2211yescharacteristic
133#17988465C2211yescharacteristic
134#17988464C2211yescharacteristic
135#17988464C2211yescharacteristic, complemented
136#17988463C2211yescharacteristic
137#17988463C2211yescharacteristic
138#17988463C2211yescharacteristic
139#17988463C2211yescharacteristic
140#17988463C2211yescharacteristic
141#17988463C2211yescharacteristic
142#17988463C2211yescharacteristic, complemented
143#17988463C2211yescharacteristic, complemented
144#17988461C2211yescharacteristic
145#17988459C2211yescharacteristic, complemented
146#17988459C2211yescharacteristic, complemented
147#17988458C2211yescharacteristic
148#17988458C2211yescharacteristic
149#17988458C2211yescharacteristic
150#17988458C2211yescharacteristic, complemented
151#17988458C2211yescharacteristic, complemented
152#17988454C2211yescharacteristic, complemented
153#17988451C2211yescharacteristic, complemented
154#17988450C2211yescharacteristic, complemented
155#17988449C2211yescharacteristic
156#17988449C2211yescharacteristic
157#17988447C2211yescharacteristic, complemented
158#17988447C2211yescharacteristic, complemented
159#17988445C2211yescharacteristic, complemented
160#17988444C2211yescharacteristic
161#17988444C2211yescharacteristic
162#17988444C2211yescharacteristic, complemented
163#17988444C2211yescharacteristic, complemented
164#17988442C2211yescharacteristic
165#17988442C2211yescharacteristic
166#17988442C2211yescharacteristic
167#17988442C2211yescharacteristic
168C4×#11924005C2211yescharacteristic
169#17988434C2211yescharacteristic
170#95×D73C2211yescharacteristic
171#95×D73C2211yescharacteristic
172C2×#124×C73C2211yescharacteristic, complemented
173C2×C22⋊Q8×C73C2211yescharacteristic, complemented
174C2×#121×C73C2211yescharacteristic, complemented
175C2×#121×C73C2211yescharacteristic, complemented
176#396×C73C2211yescharacteristic, complemented
177#394×C73C2211yescharacteristic, complemented
178#394×C73C2211yescharacteristic, complemented
179#393×C73C2211yescharacteristic, complemented
180#392×C73C2211yescharacteristic
181#392×C73C2211yescharacteristic
182#390×C73C2211yescharacteristic, complemented
183#387×C73C2211yescharacteristic, complemented
184#386×C73C2211yescharacteristic
185#386×C73C2211yescharacteristic, complemented
186#385×C73C2211yescharacteristic, complemented
187C24×D73C2311yescharacteristic
188C24×D73C2311yescharacteristic
189C22×D292C2311yescharacteristic
190C22×C22⋊D73C2311yescharacteristic
191C22×C22⋊D73C2311yescharacteristic
192C22×C22⋊D73C2311yescharacteristic
193C22×C22⋊D73C2311yescharacteristic
194C22×C22⋊D73C2311yescharacteristic
195C22×C22⋊D73C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C2×D4×D73—24no—
199C2×D4×D73—42no—
200C2×D4×D73—42no—
201C23×Dic73C2311yescharacteristic
202C23×Dic73C2311yescharacteristic
203C22×C4×D73—42no—
204C22×C4×D73—42no—
205C22×C4×D73—42no—
206C22×C4×D73C2311yescharacteristic
207C22×C4×D73C2311yescharacteristic
208C22×C4×D73C2311yescharacteristic
209C22×C4×D73C2311yescharacteristic
210C22×C4×D73C2311yescharacteristic
211C22×C4×D73C2311yescharacteristic
212C22×C4×D73C2311yescharacteristic
213#14556586—42no—
214#14556575—42no—
215#14556573—42no—
216#14556573—42no—
217#14556567—42no—
218#14556567—42no—
219#14556562—42no—
220#14556562—42no—
221#14556559—24no—
222#14556559—24no—
223#14556559—42no—
224#14556559—42no—
225C4×C22⋊D73—42no—
226#14556551—42no—
227C2×C4⋊Dic73C2311yescharacteristic
228C2×C4⋊Dic73C2311yescharacteristic
229C2×C4⋊Dic73C2311yescharacteristic
230C2×C4⋊Dic73C2311yescharacteristic
231C2×C4⋊Dic73C2311yescharacteristic
232C2×C4⋊Dic73C2311yescharacteristic
233C2×C4⋊Dic73C2311yescharacteristic
234C2×#11924007C2311yescharacteristic
235C2×#11924007C2311yescharacteristic
236C2×#11924007C2311yescharacteristic
237C2×#11924007C2311yescharacteristic
238C2×#11924007C2311yescharacteristic
239C2×#11924007C2311yescharacteristic
240C2×#11924007C2311yescharacteristic
241C2×#11924007C2311yescharacteristic
242C2×#11924007C2311yescharacteristic
243C2×#11924007C2311yescharacteristic
244C2×C22⋊Dic73C2311yescharacteristic
245C2×C22⋊Dic73C2311yescharacteristic
246C2×C22⋊Dic73C2311yescharacteristic
247C2×C22⋊Dic73C2311yescharacteristic
248C2×C22⋊Dic73C2311yescharacteristic
249C2×C22⋊Dic73C2311yescharacteristic
250C2×C22⋊Dic73C2311yescharacteristic
251C2×C22⋊Dic73C2311yescharacteristic
252C2×C22⋊Dic73C2311yescharacteristic
253C2×C22⋊Dic73C2311yescharacteristic
254C2×C22⋊Dic73C2311yescharacteristic
255C2×C22⋊Dic73C2311yescharacteristic
256C2×C22⋊Dic73C2311yescharacteristic
257C2×C22⋊Dic73C2311yescharacteristic
258C2×C22⋊Dic73C2311yescharacteristic
259C2×C22⋊Dic73C2311yescharacteristic
260C2×C22⋊Dic73C2311yescharacteristic
261C2×C22⋊Dic73C2311yescharacteristic
262C2×C22⋊Dic73C2311yescharacteristic
263C2×C22⋊Dic73C2311yescharacteristic
264C2×#11924005C2311yescharacteristic
265C2×#11924005C2311yescharacteristic
266C2×#11924005C2311yescharacteristic
267C2×#11924005C2311yescharacteristic
268C2×#11924005C2311yescharacteristic
269C2×#11924005C2311yescharacteristic
270C2×#11924005C2311yescharacteristic
271C2×#11924005C2311yescharacteristic
272C2×#11924005C2311yescharacteristic
273C2×#11924005C2311yescharacteristic
274C2×#11924005C2311yescharacteristic
275C2×#11924005C2311yescharacteristic
276C2×#11924005C2311yescharacteristic
277C2×#11924005C2311yescharacteristic
278C2×#11924005C2311yescharacteristic
279C2×#11924005C2311yescharacteristic
280C2×#11924005C2311yescharacteristic
281C2×#11924005C2311yescharacteristic
282C2×#11924005C2311yescharacteristic
283C2×#11924005C2311yescharacteristic
284C2×#11924005C2311yescharacteristic
285C2×#11924005C2311yescharacteristic
286C2×#11924005C2311yescharacteristic
287C2×#11924005C2311yescharacteristic
288C22⋊C4×D73—42no—
289C22⋊C4×D73—42no—
290C22⋊C4×D73—42no—
291C2×C4×Dic73C2311yescharacteristic
292C2×C4×Dic73C2311yescharacteristic
293C2×C4×Dic73C2311yescharacteristic
294C2×C4×Dic73C2311yescharacteristic
295C2×C4×Dic73C2311yescharacteristic
296#14556498C2311yescharacteristic
297#14556498C2311yescharacteristic
298#14556498C2311yescharacteristic
299#14556498C2311yescharacteristic
300#14556498C2311yescharacteristic
301#14556498C2311yescharacteristic
302#14556498C2311yescharacteristic
303#14556498C2311yescharacteristic
304#14556498C2311yescharacteristic
305#14556498C2311yescharacteristic
306#14556498C2311yescharacteristic
307#14556498C2311yescharacteristic
308#14556498C2311yescharacteristic
309#14556498C2311yescharacteristic
310#14556498C2311yescharacteristic
311#14556498C2311yescharacteristic
312#14556498C2311yescharacteristic
313#14556498C2311yescharacteristic
314#14556498C2311yescharacteristic
315#14556498C2311yescharacteristic
316#14556498C2311yescharacteristic
317#14556498C2311yescharacteristic
318#14556498C2311yescharacteristic
319#14556498C2311yescharacteristic
320#14556498C2311yescharacteristic
321#14556498C2311yescharacteristic
322#14556498C2311yescharacteristic
323#14556498C2311yescharacteristic
324#14556498C2311yescharacteristic
325#14556498C2311yescharacteristic
326#14556498C2311yescharacteristic
327#14556498C2311yescharacteristic
328#14556498C2311yescharacteristic
329#14556498C2311yescharacteristic
330C22×Q8×C73C2311yescharacteristic
331C22×D4×C73C2311yescharacteristic
332C22×D4×C73C2311yescharacteristic
333C22×D4×C73C2311yescharacteristic
334C22×D4×C73C2311yescharacteristic
335C22×D4×C73C2311yescharacteristic
336C22×D4×C73C2311yescharacteristic
337C23×C4×C73C2311yescharacteristic
338C23×C4×C73C2311yescharacteristic
339#124×C73—42no—
340C22⋊Q8×C73—42no—
341#121×C73—42no—
342#121×C73—42no—
343C2×C4⋊C4×C73C2311yescharacteristic
344C2×C4⋊C4×C73C2311yescharacteristic
345C2×C4⋊C4×C73C2311yescharacteristic
346C2×C4⋊C4×C73C2311yescharacteristic
347C2×C4⋊C4×C73C2311yescharacteristic
348C2×C22⋊C4×C73C2311yescharacteristic
349C2×C22⋊C4×C73C2311yescharacteristic
350C2×C22⋊C4×C73C2311yescharacteristic
351C2×C22⋊C4×C73C2311yescharacteristic
352C2×C22⋊C4×C73C2311yescharacteristic
353C2×C22⋊C4×C73C2311yescharacteristic
354C2×C22⋊C4×C73C2311yescharacteristic
355C2×C22⋊C4×C73C2311yescharacteristic
356C2×C22⋊C4×C73C2311yescharacteristic
357C2×C22⋊C4×C73C2311yescharacteristic
358C2×C22⋊C4×C73C2311yescharacteristic
359C2×C22⋊C4×C73C2311yescharacteristic
360C2×C22⋊C4×C73C2311yescharacteristic
361C2×C22⋊C4×C73C2311yescharacteristic
362C2×C42×C73C2311yescharacteristic
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369C23×D73—22no—
370C23×D73—22no—
371C23×D73—22no—
372C23×D73—22no—
373C23×D73—22no—
374C23×D73—41no—
375C23×D73—41no—
376C23×D73—41no—
377C23×D73—41no—
378C23×D73—41no—
379C23×D73—41no—
380C23×D73—41no—
381C23×D73—41no—
382C23×D73#4114yes—
383C23×D73C2411yescharacteristic
384C23×D73C2411yescharacteristic
385C23×D73C2411yescharacteristic
386C2×D292—22no—
387C2×D292—41no—
388C2×D292—41no—
389C2×C22⋊D73—22no—
390C2×C22⋊D73—22no—
391C2×C22⋊D73—22no—
392C2×C22⋊D73—22no—
393C2×C22⋊D73—22no—
394C2×C22⋊D73—22no—
395C2×C22⋊D73—22no—
396C2×C22⋊D73—22no—
397C2×C22⋊D73—22no—
398C2×C22⋊D73—22no—
399C2×C22⋊D73—41no—
400C2×C22⋊D73—41no—
401C2×C22⋊D73—41no—
402C2×C22⋊D73—41no—
403C2×C22⋊D73—41no—
404C2×C22⋊D73—41no—
405C2×C22⋊D73—41no—
406C2×C22⋊D73—41no—
407C2×C22⋊D73—41no—
408C2×C22⋊D73—41no—
409C2×C22⋊D73—41no—
410C2×C22⋊D73—41no—
411C2×C22⋊D73—41no—
412C2×C22⋊D73—41no—
413D4×D73—416no—
414C22×Dic73—41no—
415C22×Dic73—41no—
416C22×Dic73—41no—
417C22×Dic73—41no—
418C22×Dic73—41no—
419C22×Dic73—41no—
420C22×Dic73C2411yescharacteristic
421C22×Dic73C2411yescharacteristic
422C22×Dic73C2411yescharacteristic
423C22×Dic73C2411yescharacteristic
424C22×Dic73C2411yescharacteristic
425C22×Dic73C2411yescharacteristic
426C22×Dic73C2411yescharacteristic
427C22×Dic73C2411yescharacteristic
428C22×Dic73C2411yescharacteristic
429C22×Dic73C2411yescharacteristic
430C22×Dic73C2411yescharacteristic
431C22×Dic73C2411yescharacteristic
432C22×Dic73C2411yescharacteristic
433C2×C4×D73—22no—
434C2×C4×D73—22no—
435C2×C4×D73—22no—
436C2×C4×D73—22no—
437C2×C4×D73—22no—
438C2×C4×D73—22no—
439C2×C4×D73—22no—
440C2×C4×D73—22no—
441C2×C4×D73—22no—
442C2×C4×D73—22no—
443C2×C4×D73—22no—
444C2×C4×D73—41no—
445C2×C4×D73—41no—
446C2×C4×D73—41no—
447C2×C4×D73—41no—
448C2×C4×D73—41no—
449C2×C4×D73—41no—
450C2×C4×D73—416no—
451C2×C4×D73—41no—
452C2×C4×D73—41no—
453C2×C4×D73—41no—
454C2×C4×D73—41no—
455C4⋊Dic73—22no—
456C4⋊Dic73—22no—
457C4⋊Dic73—41no—
458C4⋊Dic73—41no—
459C4⋊Dic73—41no—
460C4⋊Dic73—41no—
461C4⋊Dic73—41no—
462#11924007—41no—
463#11924007—41no—
464#11924007—41no—
465#11924007—41no—
466#11924007—41no—
467#11924007—41no—
468#11924007—41no—
469#11924007—41no—
470#11924007—41no—
471#11924007—41no—
472C22⋊Dic73—22no—
473C22⋊Dic73—22no—
474C22⋊Dic73—41no—
475C22⋊Dic73—41no—
476C22⋊Dic73—41no—
477C22⋊Dic73—41no—
478C22⋊Dic73—41no—
479C22⋊Dic73—41no—
480C22⋊Dic73—41no—
481C22⋊Dic73—41no—
482C22⋊Dic73—41no—
483C22⋊Dic73—41no—
484C22⋊Dic73—41no—
485C22⋊Dic73—41no—
486C22⋊Dic73—41no—
487C22⋊Dic73—41no—
488C22⋊Dic73—41no—
489C22⋊Dic73—41no—
490C22⋊Dic73—41no—
491C22⋊Dic73—41no—
492#11924005—22no—
493#11924005—22no—
494#11924005—22no—
495#11924005—22no—
496#11924005—22no—
497#11924005—22no—
498#11924005—22no—
499#11924005—22no—
500#11924005—22no—
501#11924005—22no—
502#11924005—41no—
503#11924005—41no—
504#11924005—41no—
505#11924005—41no—
506#11924005—41no—
507#11924005—41no—
508#11924005—41no—
509#11924005—41no—
510#11924005—41no—
511#11924005—41no—
512#11924005—41no—
513#11924005—41no—
514#11924005—41no—
515#11924005—41no—
516C4×Dic73—41no—
517C4×Dic73—41no—
518C4×Dic73—41no—
519C4×Dic73—41no—
520C4×Dic73—41no—
521C24×C73C2411yescharacteristic
522C24×C73C2411yescharacteristic
523C24×C73C2411yescharacteristic
524C24×C73C2411yescharacteristic
525C2×Q8×C73—22no—
526C2×Q8×C73—41no—
527C2×Q8×C73—41no—
528C2×D4×C73—22no—
529C2×D4×C73—22no—
530C2×D4×C73—22no—
531C2×D4×C73—22no—
532C2×D4×C73—41no—
533C2×D4×C73—41no—
534C2×D4×C73—41no—
535C2×D4×C73—41no—
536C2×D4×C73—41no—
537C2×D4×C73—41no—
538C2×D4×C73—41no—
539C2×D4×C73—41no—
540C2×D4×C73—41no—
541C2×D4×C73—41no—
542C2×D4×C73—41no—
543C2×D4×C73—41no—
544C2×D4×C73—41no—
545C2×D4×C73—41no—
546C22×C4×C73—22no—
547C22×C4×C73—22no—
548C22×C4×C73—41no—
549C22×C4×C73—41no—
550C22×C4×C73—41no—
551C22×C4×C73—41no—
552C22×C4×C73C2411yescharacteristic
553C22×C4×C73C2411yescharacteristic
554C22×C4×C73C2411yescharacteristic
555C22×C4×C73C2411yescharacteristic
556C22×C4×C73C2411yescharacteristic
557C22×C4×C73C2411yescharacteristic
558C22×C4×C73C2411yescharacteristic
559C22×C4×C73C2411yescharacteristic
560C22×C4×C73C2411yescharacteristic
561C22×C4×C73C2411yescharacteristic
562C22×C4×C73C2411yescharacteristic
563C4⋊C4×C73—22no—
564C4⋊C4×C73—22no—
565C4⋊C4×C73—41no—
566C4⋊C4×C73—41no—
567C4⋊C4×C73—41no—
568C22⋊C4×C73—22no—
569C22⋊C4×C73—22no—
570C22⋊C4×C73—22no—
571C22⋊C4×C73—22no—
572C22⋊C4×C73—41no—
573C22⋊C4×C73—41no—
574C22⋊C4×C73—41no—
575C22⋊C4×C73—41no—
576C22⋊C4×C73—41no—
577C22⋊C4×C73—41no—
578C22⋊C4×C73—41no—
579C22⋊C4×C73—41no—
580C22⋊C4×C73—41no—
581C22⋊C4×C73—41no—
582C42×C73—41no—
583C23×C73—21no—
584C23×C73—21no—
585C23×C73—21no—
586C23×C73—21no—
587C23×C73—21no—
588C23×C73—21no—
589C23×C73—21no—
590C23×C73—21no—
591C23×C73—21no—
592C23×C73—21no—
593C23×C73—21no—
594C23×C73—21no—
595C23×C73—21no—
596C23×C73—21no—
597C23×C73—21no—
598C23×C73—21no—
599C23×C73—21no—
600C23×C73—21no—
601C23×C73—21no—
602C23×C73—21no—
603C23×C73—21no—
604C23×C73—21no—
605C23×C73—21no—
606C23×C73—21no—
607C23×C73—21no—
608C23×C73—21no—
609C23×C73—21no—
610C23×C73C2×#4112yes—
611C23×C73C2511yescharacteristic
612C22×D73—21no—
613C22×D73—21no—
614C22×D73—21no—
615C22×D73—21no—
616C22×D73—21no—
617C22×D73—21no—
618C22×D73—21no—
619C22×D73—21no—
620C22×D73—21no—
621C22×D73—21no—
622C22×D73—28no—
623C22×D73—21no—
624C22×D73—21no—
625C22×D73—21no—
626C22×D73—21no—
627C22×D73—21no—
628C22×D73—21no—
629C22×D73—21no—
630C22×D73—44no—
631C22×D73—44no—
632C22×D73—44no—
633C22×D73—44no—
634C22×D73—44no—
635C22×D73—44no—
636C22×D73—44no—
637C22×D73—44no—
638C22×D73—44no—
639C22×D73—82no—
640C22×D73—82no—
641C22×D73—82no—
642C22×D73—82no—
643C22×D73C2×#4112yes—
644C22×D73C2×#4112yes—
645C22×D73H(5,𝔽2)12yes—
646C22×D73H(5,𝔽2)12yes—
647Q8×C73—82no—
648D4×C73—44no—
649D4×C73—82no—
650D4×C73—82no—
651D4×C73—82no—
652D4×C73—82no—
653D4×C73—82no—
654C2×C4×C73—21no—
655C2×C4×C73—21no—
656C2×C4×C73—21no—
657C2×C4×C73—21no—
658C2×C4×C73—21no—
659C2×C4×C73—21no—
660C2×C4×C73—21no—
661C2×C4×C73—21no—
662C2×C4×C73—21no—
663C2×C4×C73—21no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—44no—
686C2×C4×C73—82no—
687C2×C4×C73H(5,𝔽2)12yes—
688C2×C4×C73H(5,𝔽2)12yes—
689C22⋊D73—44no—
690C22⋊D73—44no—
691C22⋊D73—44no—
692C22⋊D73—44no—
693C22⋊D73—82no—
694C22⋊D73—82no—
695C22⋊D73—82no—
696C22⋊D73—82no—
697C2×Dic73—21no—
698C2×Dic73—21no—
699C2×Dic73—21no—
700C2×Dic73—21no—
701C2×Dic73—21no—
702C2×Dic73—21no—
703C2×Dic73—21no—
704C2×Dic73—21no—
705C2×Dic73—21no—
706C2×Dic73—21no—
707C2×Dic73—21no—
708C2×Dic73—21no—
709C2×Dic73—21no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—21no—
714C2×Dic73—21no—
715C2×Dic73—21no—
716C2×Dic73—21no—
717C2×Dic73—21no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—44no—
737C2×Dic73—82no—
738D292—44no—
739C4×D73—44no—
740C4×D73—44no—
741C4×D73—44no—
742C4×D73—44no—
743C4×D73—44no—
744C4×D73—82no—
745C4×D73—82no—
746C22×C73—22no—
747C22×C73—22no—
748C22×C73—22no—
749C22×C73—41no—
750C22×C73—41no—
751C22×C73—41no—
752C22×C73—41no—
753C22×C73—41no—
754C22×C73—41no—
755C22×C73—41no—
756C22×C73—41no—
757C22×C73—41no—
758C22×C73—41no—
759C22×C73—41no—
760C22×C73—41no—
761C22×C73—41no—
762C22×C73—41no—
763C22×C73—41no—
764C22×C73—41no—
765C22×C73—41no—
766C22×C73—41no—
767C22×C73—41no—
768C22×C73—41no—
769C22×C73—41no—
770C22×C73—41no—
771C22×C73—41no—
772C22×C73—41no—
773C22×C73—41no—
774C22×C73C22×#4111yescharacteristic
775C22×C73C2×H(5,𝔽2)11yescharacteristic
776C22×C73C2×H(5,𝔽2)11yescharacteristic
777C22×C73C2×H(5,𝔽2)11yescharacteristic
778C22×C73C2×H(5,𝔽2)11yescharacteristic
779C22×C73#58511yescharacteristic
780C22×C73#58511yescharacteristic
781C2×D73—22no—
782C2×D73—22no—
783C2×D73—22no—
784C2×D73—22no—
785C2×D73—22no—
786C2×D73—22no—
787C2×D73—22no—
788C2×D73—22no—
789C2×D73—22no—
790C2×D73—416no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—88no—
803C2×D73#53814yes—
804C4×C73—22no—
805C4×C73—22no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815Dic73—41no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823Dic73—41no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828#36758—731nomaximal, Sylow
829C2×C73—42no—
830C2×C73—81no—
831C2×C73—81no—
832C2×C73—81no—
833C2×C73C2×#53811yescharacteristic
834C2×C73#350511yescharacteristic
835C2×C73#350511yescharacteristic
836C2×C73#353211yescharacteristic
837C2×C73#353311yescharacteristic
838C2×C73#354211yescharacteristic
839C2×C73#354211yescharacteristic
840D73—24no—
841D73—42no—
842D73—81no—
843#2848—731no—
844#2847—731no—
845#2797—731no—
846#2781—731no—
847#2779—731no—
848#2778—731no—
849#2778—731no—
850#2756—731no—
851#2753—731no—
852#2749—731no—
853#2741—731no—
854#2730—731no—
855#2714—731no—
856#2703—731no—
857#2702—731no—
858#2696—731no—
859#2688—731no—
860#2676D7311yescharacteristic, complemented
861#2613—731no—
862#2613—731no—
863#2493—731no—
864#2488—731no—
865#2480—731no—
866#2472—731no—
867#2425—731no—
868#2424—731no—
869#2419—731no—
870#2418—731no—
871#2321—731no—
872#2321—731no—
873C2×#386—731no—
874C73#3675811yescharacteristic, complemented, Sylow
875C23×D4—731no—
876C24×C4—731no—
877C2×#126—731no—
878C2×#124C2×D7311yescharacteristic, complemented
879C2×#123—731no—
880C2×#123—731no—
881C2×#123—731no—
882C2×C22⋊Q8—731no—
883C2×C22⋊Q8—731no—
884C2×C22⋊Q8C2×D7311yescharacteristic, complemented
885C2×#121—731no—
886C2×#121—731no—
887C2×#121C2×D7311yescharacteristic, complemented
888C2×#121C2×D7311yescharacteristic, complemented
889C2×#120—731no—
890C2×#120—731no—
891C2×#120—731no—
892C2×#120—731no—
893C2×C4×D4—731no—
894C2×C4×D4—731no—
895C22×C22⋊C4—731no—
896C22×C22⋊C4—731no—
897C22×C22⋊C4—731no—
898#401—731no—
899#400—731no—
900#400—731no—
901#400—731no—
902#400—731no—
903#400—731no—
904#400—731no—
905#399—731no—
906#398—731no—
907#398—731no—
908#397—731no—
909#397—731no—
910#397—731no—
911#397—731no—
912#397—731no—
913#397—731no—
914#397—731no—
915#397—731no—
916#397—731no—
917#396—731no—
918#396—731no—
919#396C2×D7311yescharacteristic, complemented
920#394—731no—
921#394—731no—
922#394—731no—
923#394—731no—
924#394—731no—
925#394—731no—
926#394—731no—
927#394—731no—
928#394—731no—
929#394—731no—
930#394—731no—
931#394—731no—
932#394—731no—
933#394C2×D7311yescharacteristic, complemented
934#394C2×D7311yescharacteristic, complemented
935#393—731no—
936#393C2×D7311yescharacteristic, complemented
937#392—731no—
938#392—731no—
939#392—731no—
940#392—731no—
941#392—731no—
942#392—731no—
943#392—731no—
944#392C2×D7311yescharacteristic
945#392C2×D7311yescharacteristic
946#391—731no—
947#390—731no—
948#390—731no—
949#390—731no—
950#390—731no—
951#390—731no—
952#390C2×D7311yescharacteristic, complemented
953#389—731no—
954#388—731no—
955#388—731no—
956#388—731no—
957#388—731no—
958#388—731no—
959#388—731no—
960#388—731no—
961#388—731no—
962#388—731no—
963#388—731no—
964#388—731no—
965#388—731no—
966#388—731no—
967#388—731no—
968#388—731no—
969#388—731no—
970#388—731no—
971#388—731no—
972#388—731no—
973#387—731no—
974#387—731no—
975#387—731no—
976#387—731no—
977#387C2×D7311yescharacteristic, complemented
978#386—731no—
979#386—731no—
980#386—731no—
981#386—731no—
982#386—731no—
983#386—731no—
984#386—731no—
985#386—731no—
986#386—731no—
987#386—731no—
988#386—731no—
989#386—731no—
990#386—731no—
991#386—731no—
992#386—731no—
993#386—731no—
994#386—731no—
995#386—731no—
996#386—731no—
997#386—731no—
998#386—731no—
999#386C2×D7311yescharacteristic
1000#386C2×D7311yescharacteristic, complemented
1001#385—731no—
1002#385—731no—
1003#385—731no—
1004#385—731no—
1005#385—731no—
1006#385—731no—
1007#385—731no—
1008#385—731no—
1009#385C2×D7311yescharacteristic, complemented
1010#383—731no—
1011#382—731no—
1012#381—731no—
1013#381—731no—
1014#381—731no—
1015#380—731no—
1016#380—731no—
1017#380—731no—
1018#380—731no—
1019#380—731no—
1020#380—731no—
1021#380—731no—
1022#379—731no—
1023#379—731no—
1024#379—731no—
1025#379—731no—
1026C4×C22⋊C4—731no—
1027C4×C22⋊C4—731no—
1028C2×#95—731no—
1029C2×#95—731no—
1030C25—731no—
1031C25—731no—
1032C22×Q8C22×D7311yescharacteristic
1033C22×D4—2922no—
1034C22×D4—2922no—
1035C22×D4—731no—
1036C22×D4—731no—
1037C22×D4—731no—
1038C22×D4—731no—
1039C22×D4—731no—
1040C22×D4—731no—
1041C22×D4—731no—
1042C22×D4—731no—
1043C22×D4—731no—
1044C22×D4—1464no—
1045C22×D4C22×D7311yescharacteristic
1046C22×D4C22×D7311yescharacteristic
1047C22×D4C22×D7311yescharacteristic
1048C22×D4C22×D7311yescharacteristic
1049C22×D4C22×D7311yescharacteristic
1050C22×D4C22×D7311yescharacteristic
1051C23×C4—2922no—
1052C23×C4—2922no—
1053C23×C4—2922no—
1054C23×C4—731no—
1055C23×C4—731no—
1056C23×C4—731no—
1057C23×C4—731no—
1058C23×C4—731no—
1059C23×C4—731no—
1060C23×C4—731no—
1061C23×C4—731no—
1062C23×C4—731no—
1063C23×C4C22×D7311yescharacteristic
1064C23×C4C22×D7311yescharacteristic
1065#126—2922no—
1066#124—42no—
1067#123—2922no—
1068#123—2922no—
1069#123—2922no—
1070C22⋊Q8—42no—
1071C22⋊Q8—2922no—
1072C22⋊Q8—2922no—
1073#121—42no—
1074#121—42no—
1075#121—2922no—
1076#121—2922no—
1077#120—2922no—
1078#120—2922no—
1079#120—1464no—
1080#120—1464no—
1081C4×D4—2922no—
1082C4×D4—2922no—
1083C2×C4⋊C4—731no—
1084C2×C4⋊C4—731no—
1085C2×C4⋊C4—731no—
1086C2×C4⋊C4—731no—
1087C2×C4⋊C4—731no—
1088C2×C4⋊C4—731no—
1089C2×C4⋊C4—731no—
1090C2×C4⋊C4—731no—
1091C2×C4⋊C4—731no—
1092C2×C4⋊C4—731no—
1093C2×C4⋊C4—731no—
1094C2×C4⋊C4—731no—
1095C2×C4⋊C4—731no—
1096C2×C4⋊C4—731no—
1097C2×C4⋊C4—731no—
1098C2×C4⋊C4—731no—
1099C2×C4⋊C4—731no—
1100C2×C4⋊C4C22×D7311yescharacteristic
1101C2×C4⋊C4C22×D7311yescharacteristic
1102C2×C4⋊C4C22×D7311yescharacteristic
1103C2×C4⋊C4C22×D7311yescharacteristic
1104C2×C4⋊C4C22×D7311yescharacteristic
1105C2×C22⋊C4—2922no—
1106C2×C22⋊C4—2922no—
1107C2×C22⋊C4—2922no—
1108C2×C22⋊C4—731no—
1109C2×C22⋊C4—731no—
1110C2×C22⋊C4—731no—
1111C2×C22⋊C4—731no—
1112C2×C22⋊C4—731no—
1113C2×C22⋊C4—731no—
1114C2×C22⋊C4—731no—
1115C2×C22⋊C4—731no—
1116C2×C22⋊C4—731no—
1117C2×C22⋊C4—731no—
1118C2×C22⋊C4—731no—
1119C2×C22⋊C4—731no—
1120C2×C22⋊C4—731no—
1121C2×C22⋊C4—731no—
1122C2×C22⋊C4—731no—
1123C2×C22⋊C4—731no—
1124C2×C22⋊C4—731no—
1125C2×C22⋊C4—731no—
1126C2×C22⋊C4—731no—
1127C2×C22⋊C4—731no—
1128C2×C22⋊C4—731no—
1129C2×C22⋊C4—731no—
1130C2×C22⋊C4—731no—
1131C2×C22⋊C4—731no—
1132C2×C22⋊C4—731no—
1133C2×C22⋊C4—731no—
1134C2×C22⋊C4—731no—
1135C2×C22⋊C4—731no—
1136C2×C22⋊C4—731no—
1137C2×C22⋊C4—731no—
1138C2×C22⋊C4—731no—
1139C2×C22⋊C4—731no—
1140C2×C22⋊C4—731no—
1141C2×C22⋊C4—731no—
1142C2×C22⋊C4—731no—
1143C2×C22⋊C4—731no—
1144C2×C22⋊C4—731no—
1145C2×C22⋊C4—731no—
1146C2×C22⋊C4—731no—
1147C2×C22⋊C4—731no—
1148C2×C22⋊C4—731no—
1149C2×C22⋊C4—731no—
1150C2×C22⋊C4—731no—
1151C2×C22⋊C4—731no—
1152C2×C22⋊C4C22×D7311yescharacteristic
1153C2×C22⋊C4C22×D7311yescharacteristic
1154C2×C22⋊C4C22×D7311yescharacteristic
1155C2×C22⋊C4C22×D7311yescharacteristic
1156C2×C22⋊C4C22×D7311yescharacteristic
1157C2×C22⋊C4C22×D7311yescharacteristic
1158C2×C22⋊C4C22×D7311yescharacteristic
1159C2×C22⋊C4C22×D7311yescharacteristic
1160C2×C22⋊C4C22×D7311yescharacteristic
1161C2×C22⋊C4C22×D7311yescharacteristic
1162C2×C22⋊C4C22×D7311yescharacteristic
1163C2×C22⋊C4C22×D7311yescharacteristic
1164C2×C22⋊C4C22×D7311yescharacteristic
1165C2×C22⋊C4C22×D7311yescharacteristic
1166C2×C42—731no—
1167C2×C42—731no—
1168C2×C42—731no—
1169C2×C42—731no—
1170C2×C42—731no—
1171C2×C42C22×D7311yescharacteristic
1172#95—731no—
1173#95—731no—
1174#95—731no—
1175#95—731no—
1176#95—731no—
1177#95—731no—
1178#95—731no—
1179#95—731no—
1180#95—731no—
1181#95—731no—
1182#95—731no—
1183#95—731no—
1184#95—731no—
1185#95—731no—
1186#95—731no—
1187#95—731no—
1188#95—731no—
1189#95—731no—
1190#95—731no—
1191#95—731no—
1192#95—731no—
1193#95—731no—
1194#95—731no—
1195#95—731no—
1196#95—731no—
1197#95—731no—
1198#95—731no—
1199#95—731no—
1200#95—731no—
1201#95—731no—
1202#95—731no—
1203#95—731no—
1204#95—731no—
1205#95—731no—
1206#95C22×D7311yescharacteristic
1207#95C22×D7311yescharacteristic
1208#95C22×D7311yescharacteristic
1209#95C22×D7311yescharacteristic
1210#95C22×D7311yescharacteristic
1211#95C22×D7311yescharacteristic
1212C24—2921no—
1213C24—2921no—
1214C24—2921no—
1215C24—2921no—
1216C24—2921no—
1217C24—2921no—
1218C24—2921no—
1219C24—2921no—
1220C24—734no—
1221C24—731no—
1222C24—731no—
1223C24—731no—
1224C24—1462no—
1225C24—1462no—
1226C24—1462no—
1227C24—1462no—
1228C24—1462no—
1229C24C23×D7311yescharacteristic
1230C24C23×D7311yescharacteristic
1231C24C23×D7311yescharacteristic
1232C24C23×D7311yescharacteristic
1233C2×Q8—22no—
1234C2×Q8—41no—
1235C2×Q8—41no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—2921no—
1255C2×D4—2921no—
1256C2×D4—29216no—
1257C2×D4—2921no—
1258C2×D4—2921no—
1259C2×D4—2921no—
1260C2×D4—2921no—
1261C2×D4—2921no—
1262C2×D4—2921no—
1263C2×D4—2921no—
1264C2×D4—2921no—
1265C2×D4—2921no—
1266C2×D4—2921no—
1267C2×D4—2921no—
1268C2×D4—2921no—
1269C2×D4—2921no—
1270C2×D4—2921no—
1271C2×D4—1462no—
1272C2×D4—1462no—
1273C2×D4—1462no—
1274C2×D4—1462no—
1275C2×D4—1462no—
1276C2×D4—1462no—
1277C2×D4—1462no—
1278C2×D4—1462no—
1279C2×D4—1462no—
1280C2×D4—1462no—
1281C2×D4—1462no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—2921no—
1289C22×C4—2921no—
1290C22×C4—2921no—
1291C22×C4—2921no—
1292C22×C4—2921no—
1293C22×C4—2921no—
1294C22×C4—2921no—
1295C22×C4—2921no—
1296C22×C4—2921no—
1297C22×C4—2921no—
1298C22×C4—29216no—
1299C22×C4—2921no—
1300C22×C4—2921no—
1301C22×C4—2921no—
1302C22×C4—2921no—
1303C22×C4—2921no—
1304C22×C4—2921no—
1305C22×C4—731no—
1306C22×C4—731no—
1307C22×C4—731no—
1308C22×C4—731no—
1309C22×C4—731no—
1310C22×C4—731no—
1311C22×C4—731no—
1312C22×C4—731no—
1313C22×C4—731no—
1314C22×C4—731no—
1315C22×C4—731no—
1316C22×C4—731no—
1317C22×C4—731no—
1318C22×C4—1462no—
1319C22×C4—1462no—
1320C22×C4—1462no—
1321C22×C4—1462no—
1322C22×C4—1462no—
1323C22×C4—1462no—
1324C22×C4—1462no—
1325C22×C4—1462no—
1326C22×C4—1462no—
1327C22×C4—1462no—
1328C22×C4—1462no—
1329C22×C4C23×D7311yescharacteristic
1330C22×C4C23×D7311yescharacteristic
1331C22×C4C23×D7311yescharacteristic
1332C22×C4C23×D7311yescharacteristic
1333C22×C4C23×D7311yescharacteristic
1334C22×C4C23×D7311yescharacteristic
1335C22×C4C23×D7311yescharacteristic
1336C22×C4C23×D7311yescharacteristic
1337C22×C4C23×D7311yescharacteristic
1338C22×C4C23×D7311yescharacteristic
1339C22×C4C23×D7311yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—2921no—
1346C4⋊C4—2921no—
1347C4⋊C4—2921no—
1348C4⋊C4—2921no—
1349C4⋊C4—2921no—
1350C4⋊C4—2921no—
1351C4⋊C4—2921no—
1352C4⋊C4—2921no—
1353C4⋊C4—2921no—
1354C4⋊C4—2921no—
1355C4⋊C4—2921no—
1356C4⋊C4—2921no—
1357C4⋊C4—2921no—
1358C4⋊C4—2921no—
1359C4⋊C4—2921no—
1360C4⋊C4—1462no—
1361C4⋊C4—1462no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—2921no—
1377C22⋊C4—2921no—
1378C22⋊C4—2921no—
1379C22⋊C4—2921no—
1380C22⋊C4—2921no—
1381C22⋊C4—2921no—
1382C22⋊C4—2921no—
1383C22⋊C4—2921no—
1384C22⋊C4—2921no—
1385C22⋊C4—2921no—
1386C22⋊C4—2921no—
1387C22⋊C4—2921no—
1388C22⋊C4—2921no—
1389C22⋊C4—2921no—
1390C22⋊C4—2921no—
1391C22⋊C4—2921no—
1392C22⋊C4—2921no—
1393C22⋊C4—2921no—
1394C22⋊C4—2921no—
1395C22⋊C4—2921no—
1396C22⋊C4—2921no—
1397C22⋊C4—2921no—
1398C22⋊C4—2921no—
1399C22⋊C4—2921no—
1400C22⋊C4—2921no—
1401C22⋊C4—2921no—
1402C22⋊C4—2921no—
1403C22⋊C4—2921no—
1404C22⋊C4—2921no—
1405C22⋊C4—2921no—
1406C22⋊C4—2921no—
1407C22⋊C4—2921no—
1408C22⋊C4—1462no—
1409C22⋊C4—1462no—
1410C22⋊C4—1462no—
1411C22⋊C4—1462no—
1412C22⋊C4—1462no—
1413C22⋊C4—1462no—
1414C22⋊C4—1462no—
1415C22⋊C4—1462no—
1416C22⋊C4—1462no—
1417C22⋊C4—1462no—
1418C22⋊C4—1462no—
1419C22⋊C4—1462no—
1420C42—41no—
1421C42—2921no—
1422C42—2921no—
1423C42—2921no—
1424C42—2921no—
1425C42—2921no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—2924no—
1454C23—2924no—
1455C23—2924no—
1456C23—2924no—
1457C23—2924no—
1458C23—2924no—
1459C23—2924no—
1460C23—2924no—
1461C23—2924no—
1462C23—5842no—
1463C23—5842no—
1464C23—5842no—
1465C23—5842no—
1466C23—732no—
1467C23—732no—
1468C23—732no—
1469C23—732no—
1470C23—1468no—
1471C23—1461no—
1472C23—1461no—
1473C23—1461no—
1474C23—1461no—
1475C23—1461no—
1476C23—1461no—
1477C23—1461no—
1478C23—1461no—
1479C23—1461no—
1480C23—1461no—
1481C23—1461no—
1482C23—1461no—
1483C23—1461no—
1484C23—1461no—
1485C23—1461no—
1486C23—1461no—
1487C23—1461no—
1488C23#41×D7312yes—
1489C23C24×D7311yescharacteristic
1490Q8—82no—
1491D4—44no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
1496D4—82no—
1497D4—2924no—
1498D4—2924no—
1499D4—2924no—
1500D4—2924no—
1501D4—2924no—
1502D4—5842no—
1503D4—5842no—
1504D4—5842no—
1505D4—5842no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—44no—
1538C2×C4—82no—
1539C2×C4—2924no—
1540C2×C4—2924no—
1541C2×C4—2924no—
1542C2×C4—2924no—
1543C2×C4—2924no—
1544C2×C4—2924no—
1545C2×C4—5842no—
1546C2×C4—5842no—
1547C2×C4—5842no—
1548C2×C4—1461no—
1549C2×C4—1461no—
1550C2×C4—1461no—
1551C2×C4—1461no—
1552C2×C4—1461no—
1553C2×C4—1461no—
1554C2×C4—1461no—
1555C2×C4—1461no—
1556C2×C4—1461no—
1557C2×C4—1461no—
1558C2×C4—1461no—
1559C2×C4—1461no—
1560C2×C4—1461no—
1561C2×C4—1461no—
1562C2×C4—1461no—
1563C2×C4—1461no—
1564C2×C4—1461no—
1565C2×C4—1461no—
1566C2×C4—1461no—
1567C2×C4—1461no—
1568C2×C4—1461no—
1569C2×C4—1461no—
1570C2×C4—1461no—
1571C2×C4—1461no—
1572C2×C4—1461no—
1573C2×C4—1461no—
1574C2×C4—1461no—
1575C2×C4—1461no—
1576C2×C4—1461no—
1577C2×C4—1461no—
1578C2×C4—1461no—
1579C2×C4—1461no—
1580C2×C4—1461no—
1581C2×C4—1461no—
1582C2×C4—1461no—
1583C2×C4—1461no—
1584C2×C4—1461no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4#1455663612yes—
1588C2×C4#1455663612yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—29216no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
1624C22—2921no—
1625C22—2921no—
1626C22—2921no—
1627C22—2921no—
1628C22—2921no—
1629C22—5848no—
1630C22—734no—
1631C22—1462no—
1632C22—1462no—
1633C22—1462no—
1634C22—1462no—
1635C22—1462no—
1636C22—1462no—
1637C22—1462no—
1638C22—1462no—
1639C22—1462no—
1640C22C2×#41×D7311yescharacteristic
1641C22H(5,𝔽2)×D7311yescharacteristic
1642C22H(5,𝔽2)×D7311yescharacteristic
1643C22C2×#1455663611yescharacteristic
1644C22C2×#1455663611yescharacteristic
1645C22#1798942211yescharacteristic
1646C22#1798942411yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—2921no—
1663C4—2921no—
1664C4—2921no—
1665C4—2921no—
1666C4—2921no—
1667C4—2921no—
1668C4—2921no—
1669C4—2921no—
1670C4—2921no—
1671C2—42no—
1672C2—81no—
1673C2—81no—
1674C2—81no—
1675C2—2922no—
1676C2—5841no—
1677C2—1464no—
1678C2#538×D7311yescharacteristic
1679C2#2262375811yescharacteristic
1680C2#2262376711yescharacteristic
1681C2#2262408111yescharacteristic
1682C2#2262409311yescharacteristic
1683C2#2262423511yescharacteristic
1684C2#2262424911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2676C2
hypercenter#2676D73
hypocenterC73#36758
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2676

Complements

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

NH ≅ G/Ntype
1. #22618215C2semidirect
2. #22618210C2semidirect
3. #22617782C2semidirect
4. #22617591C2semidirect
5. #22617566C2semidirect
6. #22617543C2semidirect
7. #22617542C2semidirect
8. #22617252C2semidirect
9. #22617210C2semidirect
10. #22617154C2semidirect
11. #22617050C2semidirect
12. #22616924C2semidirect
13. #22616732C2semidirect
14. #22616570C2semidirect
15. #22616555C2semidirect
16. #22616488C2semidirect
17. #22616363C2semidirect
18. #22615642C2semidirect
19. #22615642C2semidirect
20. #22614323C2semidirect
21. #22614250C2semidirect
22. #22614180C2semidirect
23. #22614053C2semidirect
24. #22613483C2semidirect
25. #22613464C2semidirect
26. #22613407C2semidirect
27. #22613388C2semidirect
28. #22612590C2semidirect
29. #22612587C2semidirect
30. #386×D73C2semidirect
31. C73×#2676C2semidirect
34. C2×#14556586C22semidirect
35. C2×#14556575C22semidirect
39. C2×#14556567C22semidirect
41. C2×#14556562C22semidirect
51. C73⋊#401C22semidirect
52. #17988529C22semidirect
53. #17988529C22semidirect
54. #17988528C22semidirect
55. #17988527C22semidirect
56. #17988526C22semidirect
57. #17988526C22semidirect
58. #17988523C22semidirect
59. #17988521C22semidirect
60. #17988520C22semidirect
61. #17988516C22semidirect
62. #17988516C22semidirect
63. #17988515C22semidirect
64. #17988515C22semidirect
65. #17988515C22semidirect
66. #17988513C22semidirect
67. #17988512C22semidirect
68. #17988512C22semidirect
69. #17988512C22semidirect
70. #17988510C22semidirect
71. #17988509C22semidirect
78. #17988503C22semidirect
79. #17988502C22semidirect
82. #17988501C22semidirect
83. #17988501C22semidirect
84. #17988501C22semidirect
85. #17988498C22semidirect
92. #17988495C22semidirect
93. #17988494C22semidirect
94. #17988490C22semidirect
95. #17988487C22semidirect
96. #17988487C22semidirect
97. #17988487C22semidirect
98. #17988487C22semidirect
99. #17988486C22semidirect
100. #17988481C22semidirect
101. #17988481C22semidirect
102. #17988481C22semidirect
103. #17988481C22semidirect
104. #17988480C22semidirect
105. #17988480C22semidirect
106. #17988480C22semidirect
107. #17988480C22semidirect
108. #17988479C22semidirect
109. #17988478C22semidirect
110. #17988478C22semidirect
111. #17988477C22semidirect
112. #17988477C22semidirect
113. #17988477C22semidirect
114. #17988476C22semidirect
115. #17988475C22semidirect
116. #17988475C22semidirect
117. #17988475C22semidirect
118. #17988475C22semidirect
119. #17988473C22semidirect
120. #17988472C22semidirect
121. #17988471C22semidirect
122. #17988470C22semidirect
124. #17988467C22semidirect
125. #17988467C22semidirect
126. #17988467C22semidirect
127. #17988467C22semidirect
128. #17988467C22semidirect
130. #17988466C22semidirect
131. #17988466C22semidirect
135. #17988464C22semidirect
142. #17988463C22semidirect
143. #17988463C22semidirect
145. #17988459C22semidirect
146. #17988459C22semidirect
150. #17988458C22semidirect
151. #17988458C22semidirect
152. #17988454C22semidirect
153. #17988451C22semidirect
154. #17988450C22semidirect
157. #17988447C22semidirect
158. #17988447C22semidirect
159. #17988445C22semidirect
162. #17988444C22semidirect
163. #17988444C22semidirect
172. C2×#124×C73C22semidirect
173. C2×C22⋊Q8×C73C22semidirect
174. C2×#121×C73C22semidirect
175. C2×#121×C73C22semidirect
176. #396×C73C22semidirect
177. #394×C73C22semidirect
178. #394×C73C22semidirect
179. #393×C73C22semidirect
182. #390×C73C22semidirect
183. #387×C73C22semidirect
185. #386×C73C22semidirect
186. #385×C73C22semidirect
860. #2676D73semidirect
874. C73#36758semidirect
878. C2×#124C2×D73semidirect
884. C2×C22⋊Q8C2×D73semidirect
887. C2×#121C2×D73semidirect
888. C2×#121C2×D73semidirect
919. #396C2×D73semidirect
933. #394C2×D73semidirect
934. #394C2×D73semidirect
936. #393C2×D73semidirect
952. #390C2×D73semidirect
977. #387C2×D73semidirect
1000. #386C2×D73semidirect
1009. #385C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226182152
#226182102
#226177822
#226175912
#226175662
#226175432
#226175422
#226172522
#226172102
#226171542
#226170502
#226169242
#226167322
#226165702
#226165552
#226164882
#226163632
#226156422
#226143232
#226142502
#226141802
#226140532
#226134832
#226134642
#226134072
#226133882
#226125902
#226125872
#386×D732
C73×#26762
#3675873