Finite Group Databasebeta

← #33254646

Subgroups — #33254646

Order 18688.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989097C211yesmaximal, characteristic, complemented
2C2×#41×Dic73C211yesmaximal, characteristic, complemented
3#22614131C211yesmaximal, characteristic, complemented
4#22614116C211yesmaximal, characteristic, complemented
5#22614041C211yesmaximal, characteristic, complemented
6#22614026C211yesmaximal, characteristic, complemented
7#22613947C211yesmaximal, characteristic, complemented
8#22613932C211yesmaximal, characteristic, complemented
9#22613848C211yesmaximal, characteristic, complemented
10#22613833C211yesmaximal, characteristic, complemented
11#22613759C211yesmaximal, characteristic, complemented
12#22613677C211yesmaximal, characteristic, complemented
13#22613607C211yesmaximal, characteristic, complemented
14#22613473C211yesmaximal, characteristic, complemented
15#22613391C211yesmaximal, characteristic, complemented
16#22613317C211yesmaximal, characteristic, complemented
17#22613246C211yesmaximal, characteristic, complemented
18#22613213C211yesmaximal, characteristic, complemented
19#22613202C211yesmaximal, characteristic, complemented
20#22613174C211yesmaximal, characteristic, complemented
21#22613143C211yesmaximal, characteristic, complemented
22#123×Dic73C211yesmaximal, characteristic, complemented
23#22612450C211yesmaximal, characteristic, complemented
24#121×Dic73C211yesmaximal, characteristic, complemented
25#22612441C211yesmaximal, characteristic, complemented
26#22612436C211yesmaximal, characteristic, complemented
27#22612416C211yesmaximal, characteristic, complemented
28#22612371C211yesmaximal, characteristic, complemented
29#22612367C211yesmaximal, characteristic, complemented
30C2×#17988434C211yesmaximal, characteristic, complemented
31C73×#2430C211yesmaximal, characteristic, complemented
32C22×#11924027C2211yescharacteristic
33C23×C4×D73C2211yescharacteristic
34#17989097—28no—
35C2×#14556575C2211yescharacteristic
36C2×#14556573C2211yescharacteristic
37C2×#14556573C2211yescharacteristic
38C2×#14556571C2211yescharacteristic
39C2×#14556570C2211yescharacteristic
40C2×#14556563C2211yescharacteristic
41C2×#14556562C2211yescharacteristic
42C2×#14556559C2211yescharacteristic
43C2×#14556559C2211yescharacteristic
44C2×#14556559C2211yescharacteristic
45#41×Dic73—28no—
46C2×Q8×Dic73C2211yescharacteristic, complemented
47C2×Q8×Dic73C2211yescharacteristic, complemented
48C2×D4×Dic73C2211yescharacteristic
49C2×D4×Dic73C2211yescharacteristic
50C2×D4×Dic73C2211yescharacteristic
51C2×D4×Dic73C2211yescharacteristic
52C2×D4×Dic73C2211yescharacteristic
53C2×D4×Dic73C2211yescharacteristic, complemented
54C2×D4×Dic73C2211yescharacteristic, complemented
55C2×D4×Dic73C2211yescharacteristic, complemented
56C2×#14556551C2211yescharacteristic
57C2×#14556551C2211yescharacteristic
58C2×#14556551C2211yescharacteristic
59C2×#14556551C2211yescharacteristic
60C2×#14556550C2211yescharacteristic
61C2×#14556550C2211yescharacteristic, complemented
62C2×#14556550C2211yescharacteristic, complemented
63C2×#14556549C2211yescharacteristic
64C2×#14556547C2211yescharacteristic, complemented
65C22×#11924005C2211yescharacteristic
66C22×#11924005C2211yescharacteristic
67C22×C4×Dic73C2211yescharacteristic
68C22×C4×Dic73C2211yescharacteristic
69C22×C4×Dic73C2211yescharacteristic, complemented
70C22×C4×Dic73C2211yescharacteristic, complemented
71#17988529C2211yescharacteristic, complemented
72#17988529C2211yescharacteristic, complemented
73#17988526C2211yescharacteristic, complemented
74#17988524C2211yescharacteristic
75#17988521C2211yescharacteristic, complemented
76#17988519C2211yescharacteristic, complemented
77#17988519C2211yescharacteristic, complemented
78#17988515C2211yescharacteristic, complemented
79#17988514C2211yescharacteristic
80#17988512C2211yescharacteristic, complemented
81#17988510C2211yescharacteristic, complemented
82#17988509C2211yescharacteristic
83#17988509C2211yescharacteristic
84#17988509C2211yescharacteristic
85#17988508C2211yescharacteristic, complemented
86#17988503C2211yescharacteristic
87#17988503C2211yescharacteristic
88#17988503C2211yescharacteristic
89#17988503C2211yescharacteristic
90#17988503C2211yescharacteristic
91#17988502C2211yescharacteristic
92#17988501C2211yescharacteristic, complemented
93#17988499C2211yescharacteristic, complemented
94#17988498C2211yescharacteristic
95#17988498C2211yescharacteristic
96#17988495C2211yescharacteristic
97#17988495C2211yescharacteristic
98#17988495C2211yescharacteristic
99#17988491C2211yescharacteristic, complemented
100#17988491C2211yescharacteristic, complemented
101#17988490C2211yescharacteristic, complemented
102#17988487C2211yescharacteristic
103#17988487C2211yescharacteristic
104#17988487C2211yescharacteristic
105#17988486C2211yescharacteristic, complemented
106#17988484C2211yescharacteristic, complemented
107#17988481C2211yescharacteristic, complemented
108#17988480C2211yescharacteristic, complemented
109#17988480C2211yescharacteristic, complemented
110#17988480C2211yescharacteristic, complemented
111#17988480C2211yescharacteristic, complemented
112#17988479C2211yescharacteristic
113#17988479C2211yescharacteristic
114#17988477C2211yescharacteristic
115#17988477C2211yescharacteristic
116#17988477C2211yescharacteristic
117#17988475C2211yescharacteristic, complemented
118#17988475C2211yescharacteristic, complemented
119#17988474C2211yescharacteristic, complemented
120#17988473C2211yescharacteristic, complemented
121#17988473C2211yescharacteristic, complemented
122#17988472C2211yescharacteristic, complemented
123#17988470C2211yescharacteristic, complemented
124#17988470C2211yescharacteristic, complemented
125#17988470C2211yescharacteristic, complemented
126#17988468C2211yescharacteristic, complemented
127#17988467C2211yescharacteristic
128#17988467C2211yescharacteristic
129#17988467C2211yescharacteristic
130#17988467C2211yescharacteristic
131#17988467C2211yescharacteristic, complemented
132#17988466C2211yescharacteristic
133#17988466C2211yescharacteristic
134#17988466C2211yescharacteristic
135#17988466C2211yescharacteristic
136#17988464C2211yescharacteristic
137#17988464C2211yescharacteristic
138#17988463C2211yescharacteristic
139#17988463C2211yescharacteristic
140#17988462C2211yescharacteristic
141#17988462C2211yescharacteristic, complemented
142#17988461C2211yescharacteristic
143#17988461C2211yescharacteristic
144#17988460C2211yescharacteristic
145#17988460C2211yescharacteristic
146#17988459C2211yescharacteristic
147#17988450C2211yescharacteristic
148#17988448C2211yescharacteristic, complemented
149#17988447C2211yescharacteristic
150#17988445C2211yescharacteristic, complemented
151#17988442C2211yescharacteristic
152C4⋊C4×Dic73C2211yescharacteristic, complemented
153C4⋊C4×Dic73C2211yescharacteristic, complemented
154C4⋊C4×Dic73C2211yescharacteristic, complemented
155#17988438C2211yescharacteristic, complemented
156C22⋊C4×Dic73C2211yescharacteristic
157C22⋊C4×Dic73C2211yescharacteristic, complemented
158C22⋊C4×Dic73C2211yescharacteristic, complemented
159C22⋊C4×Dic73C2211yescharacteristic, complemented
160C22⋊C4×Dic73C2211yescharacteristic, complemented
161C22⋊C4×Dic73C2211yescharacteristic, complemented
162#17988434C2211yescharacteristic
163#17988434C2211yescharacteristic
164#17988434C2211yescharacteristic
165#17988434C2211yescharacteristic
166#17988434C2211yescharacteristic
167#17988434C2211yescharacteristic
168#17988434C2211yescharacteristic
169#17988434C2211yescharacteristic
170#17988434C2211yescharacteristic
171#17988434C2211yescharacteristic
172#17988432C2211yescharacteristic, complemented
173C2×#14556498C2211yescharacteristic
174C22×#41×C73C2211yescharacteristic
175C2×#123×C73C2211yescharacteristic
176C2×#121×C73C2211yescharacteristic
177C2×#121×C73C2211yescharacteristic
178#395×C73C2211yescharacteristic, complemented
179#394×C73C2211yescharacteristic, complemented
180#393×C73C2211yescharacteristic, complemented
181#392×C73C2211yescharacteristic, complemented
182#386×C73C2211yescharacteristic
183#386×C73C2211yescharacteristic
184#386×C73C2211yescharacteristic, complemented
185#386×C73C2211yescharacteristic, complemented
186#385×C73C2211yescharacteristic, complemented
187#385×C73C2211yescharacteristic, complemented
188C2×#95×C73C2211yescharacteristic
189C24×D73C2311yescharacteristic
190C2×#11924027—24no—
191C2×#11924027—24no—
192C2×#11924027—42no—
193C22×Dic146C2311yescharacteristic
194C22×C22⋊D73C2311yescharacteristic
195C22×C22⋊D73C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C23×Dic73C2311yescharacteristic
201C23×Dic73C2311yescharacteristic
202C23×Dic73C2311yescharacteristic
203C23×Dic73C2311yescharacteristic
204C23×Dic73C2311yescharacteristic
205C23×Dic73C2311yescharacteristic
206C23×Dic73C2311yescharacteristic
207C23×Dic73C2311yescharacteristic
208C22×C4×D73—24no—
209C22×C4×D73—24no—
210C22×C4×D73—42no—
211C22×C4×D73C2311yescharacteristic
212C22×C4×D73C2311yescharacteristic
213C22×C4×D73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215#14556575—24no—
216#14556573—24no—
217#14556573—24no—
218#14556571—24no—
219#14556570—24no—
220#14556563—24no—
221#14556562—24no—
222#14556559—24no—
223#14556559—24no—
224#14556559—24no—
225Q8×Dic73—24no—
226Q8×Dic73—24no—
227D4×Dic73—24no—
228D4×Dic73—24no—
229D4×Dic73—24no—
230D4×Dic73—24no—
231D4×Dic73—24no—
232D4×Dic73—24no—
233D4×Dic73—42no—
234D4×Dic73D418yescomplemented
235#14556551—24no—
236#14556551—24no—
237#14556551—24no—
238#14556551—42no—
239#14556550—24no—
240#14556550—24no—
241#14556550—24no—
242#14556549—24no—
243#14556547—42no—
244C2×C4⋊Dic73C2311yescharacteristic
245C2×C4⋊Dic73C2311yescharacteristic
246C2×C4⋊Dic73C2311yescharacteristic
247C2×C4⋊Dic73C2311yescharacteristic
248C2×C4⋊Dic73C2311yescharacteristic
249C2×C4⋊Dic73C2311yescharacteristic
250C2×C4⋊Dic73C2311yescharacteristic
251C2×C4⋊Dic73C2311yescharacteristic
252C2×C4⋊Dic73C2311yescharacteristic
253C2×C4⋊Dic73C2311yescharacteristic
254C2×C4⋊Dic73C2311yescharacteristic
255C2×C4⋊Dic73C2311yescharacteristic
256C2×#11924007C2311yescharacteristic
257C2×#11924007C2311yescharacteristic
258C2×#11924007C2311yescharacteristic
259C2×#11924007C2311yescharacteristic
260C2×#11924007C2311yescharacteristic
261C2×#11924007C2311yescharacteristic
262C2×#11924007C2311yescharacteristic
263C2×#11924007C2311yescharacteristic
264C2×C22⋊Dic73C2311yescharacteristic
265C2×C22⋊Dic73C2311yescharacteristic
266C2×C22⋊Dic73C2311yescharacteristic
267C2×C22⋊Dic73C2311yescharacteristic
268C2×C22⋊Dic73C2311yescharacteristic
269C2×C22⋊Dic73C2311yescharacteristic
270C2×C22⋊Dic73C2311yescharacteristic
271C2×C22⋊Dic73C2311yescharacteristic
272C2×C22⋊Dic73C2311yescharacteristic
273C2×C22⋊Dic73C2311yescharacteristic
274C2×C22⋊Dic73C2311yescharacteristic
275C2×C22⋊Dic73C2311yescharacteristic
276C2×C22⋊Dic73C2311yescharacteristic
277C2×C22⋊Dic73C2311yescharacteristic
278C2×C22⋊Dic73C2311yescharacteristic
279C2×C22⋊Dic73C2311yescharacteristic
280C2×C22⋊Dic73C2311yescharacteristic
281C2×#11924005—24no—
282C2×#11924005—24no—
283C2×#11924005C2311yescharacteristic
284C2×#11924005C2311yescharacteristic
285C2×#11924005C2311yescharacteristic
286C2×#11924005C2311yescharacteristic
287C2×#11924005C2311yescharacteristic
288C2×#11924005C2311yescharacteristic
289C2×#11924005C2311yescharacteristic
290C2×#11924005C2311yescharacteristic
291C2×#11924005C2311yescharacteristic
292C2×#11924005C2311yescharacteristic
293C2×#11924005C2311yescharacteristic
294C2×#11924005C2311yescharacteristic
295C2×#11924005C2311yescharacteristic
296C2×#11924005C2311yescharacteristic
297C2×#11924005C2311yescharacteristic
298C2×#11924005C2311yescharacteristic
299C2×#11924005C2311yescharacteristic
300C2×#11924005C2311yescharacteristic
301C2×C4×Dic73—24no—
302C2×C4×Dic73—24no—
303C2×C4×Dic73—24no—
304C2×C4×Dic73—42no—
305C2×C4×Dic73C2311yescharacteristic
306C2×C4×Dic73C2311yescharacteristic
307C2×C4×Dic73C2311yescharacteristic
308C2×C4×Dic73C2311yescharacteristic
309C2×C4×Dic73C2311yescharacteristic
310C2×C4×Dic73C2311yescharacteristic
311C2×C4×Dic73C2311yescharacteristic
312C2×C4×Dic73C2311yescharacteristic
313C2×C4×Dic73C2311yescharacteristic
314C2×C4×Dic73C2311yescharacteristic
315C2×C4×Dic73C2311yescharacteristic
316C2×C4×Dic73C2311yescharacteristic
317C2×C4×Dic73C2311yescharacteristic
318C2×C4×Dic73C2311yescharacteristic
319C2×C4×Dic73C2311yescharacteristic
320C2×C4×Dic73C2311yescharacteristic
321C2×C4×Dic73C2311yescharacteristic
322#14556498C2311yescharacteristic
323#14556498C2311yescharacteristic
324#14556498C2311yescharacteristic
325#14556498C2311yescharacteristic
326#14556498C2311yescharacteristic
327#14556498C2311yescharacteristic
328#14556498C2311yescharacteristic
329#14556498C2311yescharacteristic
330#14556498C2311yescharacteristic
331#14556498C2311yescharacteristic
332#14556498C2311yescharacteristic
333#14556498C2311yescharacteristic
334#14556498C2311yescharacteristic
335#14556498C2311yescharacteristic
336#14556498C2311yescharacteristic
337#14556498C2311yescharacteristic
338#14556498C2311yescharacteristic
339#14556498C2311yescharacteristic
340#14556498C2311yescharacteristic
341#14556498C2311yescharacteristic
342#14556498C2311yescharacteristic
343#14556498C2311yescharacteristic
344#14556498C2311yescharacteristic
345#14556498C2311yescharacteristic
346#14556498C2311yescharacteristic
347#14556498C2311yescharacteristic
348#14556498C2311yescharacteristic
349#14556498C2311yescharacteristic
350C2×#41×C73—24no—
351C2×#41×C73—24no—
352C2×#41×C73—24no—
353C22×Q8×C73C2311yescharacteristic
354C22×D4×C73C2311yescharacteristic
355C22×D4×C73C2311yescharacteristic
356C22×D4×C73C2311yescharacteristic
357C22×D4×C73C2311yescharacteristic
358C22×D4×C73C2311yescharacteristic
359C22×D4×C73C2311yescharacteristic
360C23×C4×C73C2311yescharacteristic
361C23×C4×C73C2311yescharacteristic
362C23×C4×C73C2311yescharacteristic
363C23×C4×C73C2311yescharacteristic
364C23×C4×C73C2311yescharacteristic
365#123×C73—24no—
366#121×C73—24no—
367#121×C73—24no—
368C2×C4⋊C4×C73C2311yescharacteristic
369C2×C4⋊C4×C73C2311yescharacteristic
370C2×C4⋊C4×C73C2311yescharacteristic
371C2×C4⋊C4×C73C2311yescharacteristic
372C2×C22⋊C4×C73C2311yescharacteristic
373C2×C22⋊C4×C73C2311yescharacteristic
374C2×C22⋊C4×C73C2311yescharacteristic
375C2×C22⋊C4×C73C2311yescharacteristic
376C2×C22⋊C4×C73C2311yescharacteristic
377C2×C22⋊C4×C73C2311yescharacteristic
378C2×C22⋊C4×C73C2311yescharacteristic
379C2×C22⋊C4×C73C2311yescharacteristic
380C2×C22⋊C4×C73C2311yescharacteristic
381C2×C22⋊C4×C73C2311yescharacteristic
382C2×C22⋊C4×C73C2311yescharacteristic
383#95×C73C2311yescharacteristic
384#95×C73C2311yescharacteristic
385#95×C73C2311yescharacteristic
386#95×C73C2311yescharacteristic
387#95×C73C2311yescharacteristic
388#95×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391C23×D73—22no—
392C23×D73—22no—
393C23×D73—22no—
394C23×D73—22no—
395C23×D73—22no—
396C23×D73—41no—
397C23×D73—41no—
398C23×D73C2411yescharacteristic
399C23×D73C2411yescharacteristic
400#11924027—416no—
401C2×Dic146—22no—
402C2×Dic146—22no—
403C2×Dic146—41no—
404C2×C22⋊D73—22no—
405C2×C22⋊D73—22no—
406C2×C22⋊D73—22no—
407C2×C22⋊D73—22no—
408C2×C22⋊D73—22no—
409C2×C22⋊D73—22no—
410C2×C22⋊D73—22no—
411C2×C22⋊D73—22no—
412C2×C22⋊D73—22no—
413C2×C22⋊D73—22no—
414C2×C22⋊D73—22no—
415C2×C22⋊D73—22no—
416C2×C22⋊D73—41no—
417C2×C22⋊D73—41no—
418C2×C22⋊D73—41no—
419C2×C22⋊D73—41no—
420C2×C22⋊D73—41no—
421C2×C22⋊D73—41no—
422C22×Dic73—22no—
423C22×Dic73—22no—
424C22×Dic73—22no—
425C22×Dic73—22no—
426C22×Dic73—22no—
427C22×Dic73—22no—
428C22×Dic73—22no—
429C22×Dic73—22no—
430C22×Dic73—22no—
431C22×Dic73—22no—
432C22×Dic73—22no—
433C22×Dic73—22no—
434C22×Dic73—22no—
435C22×Dic73—22no—
436C22×Dic73—22no—
437C22×Dic73—22no—
438C22×Dic73—22no—
439C22×Dic73—41no—
440C22×Dic73—41no—
441C22×Dic73—41no—
442C22×Dic73—41no—
443C22×Dic73—41no—
444C22×Dic73C2×D414yes—
445C22×Dic73C2×D414yes—
446C22×Dic73C2411yescharacteristic
447C22×Dic73C2411yescharacteristic
448C22×Dic73C2411yescharacteristic
449C22×Dic73C2411yescharacteristic
450C22×Dic73C2411yescharacteristic
451C22×Dic73C2411yescharacteristic
452C22×Dic73C2411yescharacteristic
453C22×Dic73C2411yescharacteristic
454C22×Dic73C2411yescharacteristic
455C22×Dic73C2411yescharacteristic
456C22×Dic73C2411yescharacteristic
457C22×Dic73C2411yescharacteristic
458C22×Dic73C2411yescharacteristic
459C22×Dic73C2411yescharacteristic
460C2×C4×D73—22no—
461C2×C4×D73—22no—
462C2×C4×D73—22no—
463C2×C4×D73—22no—
464C2×C4×D73—22no—
465C2×C4×D73—22no—
466C2×C4×D73—22no—
467C2×C4×D73—22no—
468C2×C4×D73—22no—
469C2×C4×D73—416no—
470C2×C4×D73—41no—
471C2×C4×D73—41no—
472C2×C4×D73#4114yescomplemented
473C4⋊Dic73—22no—
474C4⋊Dic73—22no—
475C4⋊Dic73—22no—
476C4⋊Dic73—22no—
477C4⋊Dic73—22no—
478C4⋊Dic73—22no—
479C4⋊Dic73—22no—
480C4⋊Dic73—22no—
481C4⋊Dic73—22no—
482C4⋊Dic73—41no—
483C4⋊Dic73—41no—
484C4⋊Dic73C2×D414yes—
485#11924007—22no—
486#11924007—22no—
487#11924007—22no—
488#11924007—22no—
489#11924007—41no—
490#11924007—41no—
491#11924007—41no—
492#11924007—41no—
493C22⋊Dic73—22no—
494C22⋊Dic73—22no—
495C22⋊Dic73—22no—
496C22⋊Dic73—22no—
497C22⋊Dic73—22no—
498C22⋊Dic73—22no—
499C22⋊Dic73—22no—
500C22⋊Dic73—22no—
501C22⋊Dic73—41no—
502C22⋊Dic73—41no—
503C22⋊Dic73—41no—
504C22⋊Dic73—41no—
505C22⋊Dic73—41no—
506C22⋊Dic73—41no—
507C22⋊Dic73—41no—
508C22⋊Dic73C2×D414yes—
509C22⋊Dic73C2×D414yes—
510#11924005—22no—
511#11924005—22no—
512#11924005—22no—
513#11924005—22no—
514#11924005—22no—
515#11924005—22no—
516#11924005—22no—
517#11924005—22no—
518#11924005—22no—
519#11924005—22no—
520#11924005—22no—
521#11924005—22no—
522#11924005—22no—
523#11924005—22no—
524#11924005—22no—
525#11924005—41no—
526#11924005—41no—
527#11924005#4114yescomplemented
528C4×Dic73—22no—
529C4×Dic73—22no—
530C4×Dic73—22no—
531C4×Dic73—22no—
532C4×Dic73—22no—
533C4×Dic73—22no—
534C4×Dic73—22no—
535C4×Dic73—22no—
536C4×Dic73—22no—
537C4×Dic73—22no—
538C4×Dic73—22no—
539C4×Dic73—22no—
540C4×Dic73—22no—
541C4×Dic73—22no—
542C4×Dic73—41no—
543C4×Dic73—41no—
544C4×Dic73C2×D414yes—
545C24×C73C2411yescharacteristic
546C24×C73C2411yescharacteristic
547C24×C73C2411yescharacteristic
548C24×C73C2411yescharacteristic
549#41×C73—232no—
550C2×Q8×C73—22no—
551C2×Q8×C73—22no—
552C2×Q8×C73—22no—
553C2×D4×C73—22no—
554C2×D4×C73—22no—
555C2×D4×C73—22no—
556C2×D4×C73—22no—
557C2×D4×C73—22no—
558C2×D4×C73—22no—
559C2×D4×C73—22no—
560C2×D4×C73—22no—
561C2×D4×C73—22no—
562C2×D4×C73—22no—
563C2×D4×C73—22no—
564C2×D4×C73—22no—
565C2×D4×C73—22no—
566C2×D4×C73—22no—
567C2×D4×C73—41no—
568C2×D4×C73—41no—
569C2×D4×C73C2×D414yes—
570C2×D4×C73#4114yescomplemented
571C22×C4×C73—22no—
572C22×C4×C73—22no—
573C22×C4×C73—22no—
574C22×C4×C73—22no—
575C22×C4×C73—22no—
576C22×C4×C73—22no—
577C22×C4×C73—22no—
578C22×C4×C73—22no—
579C22×C4×C73—22no—
580C22×C4×C73—22no—
581C22×C4×C73—22no—
582C22×C4×C73—22no—
583C22×C4×C73—41no—
584C22×C4×C73—41no—
585C22×C4×C73#4114yescomplemented
586C22×C4×C73C2411yescharacteristic
587C22×C4×C73C2411yescharacteristic
588C22×C4×C73C2411yescharacteristic
589C22×C4×C73C2411yescharacteristic
590C22×C4×C73C2411yescharacteristic
591C22×C4×C73C2411yescharacteristic
592C22×C4×C73C2411yescharacteristic
593C22×C4×C73C2411yescharacteristic
594C22×C4×C73C2411yescharacteristic
595C22×C4×C73C2411yescharacteristic
596C22×C4×C73C2411yescharacteristic
597C4⋊C4×C73—22no—
598C4⋊C4×C73—22no—
599C4⋊C4×C73—22no—
600C4⋊C4×C73—22no—
601C22⋊C4×C73—22no—
602C22⋊C4×C73—22no—
603C22⋊C4×C73—22no—
604C22⋊C4×C73—22no—
605C22⋊C4×C73—22no—
606C22⋊C4×C73—22no—
607C22⋊C4×C73—22no—
608C22⋊C4×C73—22no—
609C22⋊C4×C73—22no—
610C22⋊C4×C73—41no—
611C22⋊C4×C73—41no—
612C23×C73—21no—
613C23×C73—21no—
614C23×C73—21no—
615C23×C73—21no—
616C23×C73—21no—
617C23×C73—21no—
618C23×C73—21no—
619C23×C73—21no—
620C23×C73—21no—
621C23×C73—21no—
622C23×C73—21no—
623C23×C73—21no—
624C23×C73—21no—
625C23×C73—21no—
626C23×C73—21no—
627C23×C73—21no—
628C23×C73—21no—
629C23×C73—21no—
630C23×C73—21no—
631C23×C73—21no—
632C23×C73—21no—
633C23×C73—21no—
634C23×C73—21no—
635C23×C73C22×D412yes—
636C23×C73C22×D412yes—
637C23×C73C2×#4112yes—
638C23×C73C2×#4112yes—
639C23×C73C2×#4112yes—
640C23×C73C2511yescharacteristic
641C22×D73—28no—
642C22×D73—21no—
643C22×D73—21no—
644C22×D73—21no—
645C22×D73—21no—
646C22×D73—21no—
647C22×D73—21no—
648C22×D73—21no—
649C22×D73—21no—
650C22×D73—21no—
651C22×D73—21no—
652C22×D73—21no—
653C22×D73—21no—
654C22×D73—44no—
655C22×D73—44no—
656C22×D73—44no—
657C22×D73—44no—
658C22×D73—44no—
659C22×D73—44no—
660C22×D73C2×#4112yes—
661C22×D73C2×#4112yes—
662Q8×C73—28no—
663D4×C73—28no—
664D4×C73—28no—
665D4×C73—28no—
666D4×C73—44no—
667D4×C73—44no—
668D4×C73—44no—
669C2×C4×C73—28no—
670C2×C4×C73—28no—
671C2×C4×C73—28no—
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—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—44no—
700C2×C4×C73—44no—
701C2×C4×C73C22×D412yes—
702C2×C4×C73C2×#4112yes—
703C2×C4×C73C2×#4112yes—
704C2×C4×C73C2×#4112yes—
705C2×C4×C73C2×#4112yes—
706C2×C4×C73C2×#4112yes—
707C22⋊D73—44no—
708C22⋊D73—44no—
709C22⋊D73—44no—
710C22⋊D73—44no—
711C22⋊D73—44no—
712C22⋊D73—44no—
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—28no—
722C2×Dic73—28no—
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—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—44no—
751C2×Dic73—44no—
752C2×Dic73—44no—
753C2×Dic73—44no—
754C2×Dic73—44no—
755C2×Dic73—44no—
756C2×Dic73C22×D412yes—
757C2×Dic73C22×D412yes—
758C2×Dic73C22×D412yes—
759C2×Dic73C22×D412yes—
760C2×Dic73C2×#4112yes—
761C2×Dic73C2×#4112yes—
762C2×Dic73H(5,𝔽2)12yes—
763C4×D73—28no—
764C4×D73—44no—
765C4×D73—44no—
766C4×D73—44no—
767Dic146—44no—
768C22×C73—22no—
769C22×C73—22no—
770C22×C73—22no—
771C22×C73—22no—
772C22×C73—22no—
773C22×C73—22no—
774C22×C73—22no—
775C22×C73—22no—
776C22×C73—22no—
777C22×C73—22no—
778C22×C73—22no—
779C22×C73—22no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—41no—
793C22×C73—41no—
794C22×C73—41no—
795C22×C73#52514yes—
796C22×C73C23×D411yescharacteristic
797C22×C73C22×#4111yescharacteristic
798C22×C73C22×#4111yescharacteristic
799C22×C73C22×#4111yescharacteristic
800C22×C73C22×#4111yescharacteristic
801C22×C73C2×H(5,𝔽2)11yescharacteristic
802C22×C73#58511yescharacteristic
803C2×D73—22no—
804C2×D73—22no—
805C2×D73—22no—
806C2×D73—22no—
807C2×D73—22no—
808C2×D73—22no—
809C2×D73—416no—
810C2×D73—41no—
811C2×D73—41no—
812C2×D73—41no—
813C2×D73—41no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C4×C73—22no—
819C4×C73—22no—
820C4×C73—22no—
821C4×C73—22no—
822C4×C73—22no—
823C4×C73—22no—
824C4×C73—41no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829Dic73—22no—
830Dic73—22no—
831Dic73—22no—
832Dic73—22no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73—41no—
837Dic73—41no—
838Dic73—41no—
839Dic73—41no—
840Dic73—41no—
841Dic73—41no—
842Dic73#54614yes—
843#34732—731nomaximal, Sylow
844C2×C73—24no—
845C2×C73—42no—
846C2×C73—42no—
847C2×C73—81no—
848C2×C73C2×#52511yescharacteristic
849C2×C73#344411yescharacteristic
850C2×C73#346011yescharacteristic
851C2×C73C2×#54611yescharacteristic
852C2×C73D4×#4111yescharacteristic
853C2×C73#347511yescharacteristic
854C2×C73#348111yescharacteristic
855D73—42no—
856D73—42no—
857C2×#525—731no—
858C2×C4×#41—731no—
859#2477—731no—
860#2476—731no—
861#2471—731no—
862#2470—731no—
863#2465—731no—
864#2464—731no—
865#2458—731no—
866#2457—731no—
867#2450—731no—
868#2444—731no—
869#2438—731no—
870#2430D7311yescharacteristic, complemented
871#2424—731no—
872#2418—731no—
873#2411—731no—
874#2404—731no—
875#2398—731no—
876#2396—731no—
877#2392—731no—
878#2388—731no—
879C4×#123—731no—
880C4×#123—731no—
881C4×#121—731no—
882C4×#121—731no—
883C4×#120—731no—
884#2297—731no—
885#2290—731no—
886#2290—731no—
887C2×C4×C22⋊C4—731no—
888C73#3473211yescharacteristic, complemented, Sylow
889C22×#41—731no—
890C22×#41C2×D7311yescharacteristic
891C24×C4—731no—
892#525—1468no—
893C2×#123—731no—
894C2×#123—731no—
895C2×#123—731no—
896C2×#123C2×D7311yescharacteristic
897C2×C22⋊Q8—731no—
898C2×C22⋊Q8—731no—
899C2×#121—731no—
900C2×#121—731no—
901C2×#121C2×D7311yescharacteristic
902C2×#121C2×D7311yescharacteristic
903C2×#120—731no—
904C2×#120—731no—
905C2×#120—731no—
906C4×#41—1468no—
907C2×C4×Q8—731no—
908C2×C4×Q8—731no—
909C2×C4×D4—731no—
910C2×C4×D4—731no—
911C2×C4×D4—731no—
912C2×C4×D4—731no—
913C2×C4×D4—731no—
914C2×C4×D4—731no—
915C2×C4×D4—731no—
916C2×C4×D4—731no—
917C2×C4×D4—731no—
918C2×C4×D4—731no—
919C2×C4×D4—731no—
920C2×C4×D4—731no—
921C2×#117—731no—
922C2×#117—731no—
923C2×#117—731no—
924C2×#117—731no—
925C2×#117—731no—
926C22×C22⋊C4—731no—
927C22×C22⋊C4—731no—
928C22×C42—731no—
929C22×C42—731no—
930C22×C42—731no—
931C22×C42—731no—
932#400—731no—
933#400—731no—
934#400—731no—
935#399—731no—
936#398—731no—
937#398—731no—
938#398—731no—
939#397—731no—
940#397—731no—
941#397—731no—
942#396—731no—
943#396—731no—
944#396—731no—
945#396—731no—
946#395—731no—
947#395C2×D7311yescharacteristic, complemented
948#394—731no—
949#394—731no—
950#394—731no—
951#394—731no—
952#394—731no—
953#394—731no—
954#394—731no—
955#394C2×D7311yescharacteristic, complemented
956#393—731no—
957#393—731no—
958#393—731no—
959#393C2×D7311yescharacteristic, complemented
960#392—731no—
961#392—731no—
962#392—731no—
963#392C2×D7311yescharacteristic, complemented
964#391—731no—
965#391—731no—
966#390—731no—
967#390—731no—
968#390—731no—
969#390—731no—
970#389—731no—
971#389—731no—
972#388—731no—
973#388—731no—
974#388—731no—
975#388—731no—
976#388—731no—
977#388—731no—
978#388—731no—
979#388—731no—
980#388—731no—
981#388—731no—
982#388—731no—
983#388—731no—
984#387—731no—
985#387—731no—
986#387—731no—
987#387—731no—
988#387—731no—
989#387—731no—
990#387—731no—
991#387—731no—
992#386—731no—
993#386—731no—
994#386—731no—
995#386—731no—
996#386—731no—
997#386—731no—
998#386—731no—
999#386—731no—
1000#386—731no—
1001#386—731no—
1002#386—731no—
1003#386—731no—
1004#386—731no—
1005#386C2×D7311yescharacteristic
1006#386C2×D7311yescharacteristic
1007#386C2×D7311yescharacteristic, complemented
1008#386C2×D7311yescharacteristic, complemented
1009#385—731no—
1010#385—731no—
1011#385—731no—
1012#385—731no—
1013#385—731no—
1014#385—731no—
1015#385—731no—
1016#385C2×D7311yescharacteristic, complemented
1017#385C2×D7311yescharacteristic, complemented
1018#381—731no—
1019#381—731no—
1020#380—731no—
1021#380—731no—
1022#379—731no—
1023C4×C4⋊C4—731no—
1024C4×C4⋊C4—731no—
1025C4×C4⋊C4—731no—
1026C4×C4⋊C4—731no—
1027C4×C22⋊C4—731no—
1028C4×C22⋊C4—731no—
1029C4×C22⋊C4—731no—
1030C4×C22⋊C4—731no—
1031C4×C22⋊C4—731no—
1032C4×C22⋊C4—731no—
1033C4×C22⋊C4—731no—
1034C4×C22⋊C4—731no—
1035C4×C22⋊C4—731no—
1036C4×C22⋊C4—731no—
1037C4×C22⋊C4—731no—
1038C4×C22⋊C4—731no—
1039C4×C22⋊C4—731no—
1040C4×C22⋊C4—731no—
1041C4×C22⋊C4—731no—
1042C4×C22⋊C4—731no—
1043#376—731no—
1044C2×#95—731no—
1045C2×#95C2×D7311yescharacteristic
1046C25—731no—
1047C2×#41—24no—
1048C2×#41—24no—
1049C2×#41—24no—
1050C2×#41—2922no—
1051C2×#41—1464no—
1052C2×#41—1464no—
1053C22×Q8—731no—
1054C22×Q8C22×D7311yescharacteristic
1055C22×D4—731no—
1056C22×D4—731no—
1057C22×D4—731no—
1058C22×D4—731no—
1059C22×D4—731no—
1060C22×D4—731no—
1061C22×D4C22×D7311yescharacteristic
1062C22×D4C22×D7311yescharacteristic
1063C22×D4C22×D7311yescharacteristic
1064C22×D4C22×D7311yescharacteristic
1065C22×D4C22×D7311yescharacteristic
1066C22×D4C22×D7311yescharacteristic
1067C23×C4—2922no—
1068C23×C4—731no—
1069C23×C4—731no—
1070C23×C4—731no—
1071C23×C4—731no—
1072C23×C4—731no—
1073C23×C4—731no—
1074C23×C4—731no—
1075C23×C4—731no—
1076C23×C4—731no—
1077C23×C4—731no—
1078C23×C4—731no—
1079C23×C4—731no—
1080C23×C4—1464no—
1081C23×C4—1464no—
1082C23×C4C22×D7311yescharacteristic
1083C23×C4C22×D7311yescharacteristic
1084C23×C4C22×D7311yescharacteristic
1085C23×C4C22×D7311yescharacteristic
1086C23×C4C22×D7311yescharacteristic
1087#123—24no—
1088#123—1464no—
1089#123—1464no—
1090#123—1464no—
1091C22⋊Q8—1464no—
1092C22⋊Q8—1464no—
1093#121—24no—
1094#121—24no—
1095#121—1464no—
1096#121—1464no—
1097#120—1464no—
1098#120—1464no—
1099#120—1464no—
1100C4×Q8—1464no—
1101C4×Q8—1464no—
1102C4×D4—2922no—
1103C4×D4—2922no—
1104C4×D4—738no—
1105C4×D4—1464no—
1106C4×D4—1464no—
1107C4×D4—1464no—
1108C4×D4—1464no—
1109C4×D4—1464no—
1110C4×D4—1464no—
1111C4×D4—1464no—
1112C4×D4—1464no—
1113C4×D4—1464no—
1114#117—2922no—
1115#117—1464no—
1116#117—1464no—
1117#117—1464no—
1118#117—1464no—
1119C2×C4⋊C4—731no—
1120C2×C4⋊C4—731no—
1121C2×C4⋊C4—731no—
1122C2×C4⋊C4—731no—
1123C2×C4⋊C4—731no—
1124C2×C4⋊C4—731no—
1125C2×C4⋊C4—731no—
1126C2×C4⋊C4—731no—
1127C2×C4⋊C4—731no—
1128C2×C4⋊C4—731no—
1129C2×C4⋊C4—731no—
1130C2×C4⋊C4—731no—
1131C2×C4⋊C4—731no—
1132C2×C4⋊C4—731no—
1133C2×C4⋊C4—731no—
1134C2×C4⋊C4—731no—
1135C2×C4⋊C4—731no—
1136C2×C4⋊C4—731no—
1137C2×C4⋊C4—731no—
1138C2×C4⋊C4—731no—
1139C2×C4⋊C4C22×D7311yescharacteristic
1140C2×C4⋊C4C22×D7311yescharacteristic
1141C2×C4⋊C4C22×D7311yescharacteristic
1142C2×C4⋊C4C22×D7311yescharacteristic
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⋊C4—731no—
1153C2×C22⋊C4—731no—
1154C2×C22⋊C4—731no—
1155C2×C22⋊C4—731no—
1156C2×C22⋊C4—731no—
1157C2×C22⋊C4—731no—
1158C2×C22⋊C4—731no—
1159C2×C22⋊C4—731no—
1160C2×C22⋊C4—731no—
1161C2×C22⋊C4—731no—
1162C2×C22⋊C4—731no—
1163C2×C22⋊C4—731no—
1164C2×C22⋊C4—731no—
1165C2×C22⋊C4—731no—
1166C2×C22⋊C4—731no—
1167C2×C22⋊C4—731no—
1168C2×C22⋊C4—731no—
1169C2×C22⋊C4—731no—
1170C2×C22⋊C4—731no—
1171C2×C22⋊C4—731no—
1172C2×C22⋊C4—731no—
1173C2×C22⋊C4—731no—
1174C2×C22⋊C4—731no—
1175C2×C22⋊C4—731no—
1176C2×C22⋊C4—731no—
1177C2×C22⋊C4—731no—
1178C2×C22⋊C4—1464no—
1179C2×C22⋊C4—1464no—
1180C2×C22⋊C4C22×D7311yescharacteristic
1181C2×C22⋊C4C22×D7311yescharacteristic
1182C2×C22⋊C4C22×D7311yescharacteristic
1183C2×C22⋊C4C22×D7311yescharacteristic
1184C2×C22⋊C4C22×D7311yescharacteristic
1185C2×C22⋊C4C22×D7311yescharacteristic
1186C2×C22⋊C4C22×D7311yescharacteristic
1187C2×C22⋊C4C22×D7311yescharacteristic
1188C2×C22⋊C4C22×D7311yescharacteristic
1189C2×C22⋊C4C22×D7311yescharacteristic
1190C2×C22⋊C4C22×D7311yescharacteristic
1191C2×C42—2922no—
1192C2×C42—731no—
1193C2×C42—731no—
1194C2×C42—731no—
1195C2×C42—731no—
1196C2×C42—731no—
1197C2×C42—731no—
1198C2×C42—731no—
1199C2×C42—731no—
1200C2×C42—731no—
1201C2×C42—731no—
1202C2×C42—731no—
1203C2×C42—731no—
1204C2×C42—731no—
1205C2×C42—731no—
1206C2×C42—731no—
1207C2×C42—731no—
1208C2×C42—731no—
1209C2×C42—1464no—
1210C2×C42—1464no—
1211C2×C42—1464no—
1212#95—731no—
1213#95—731no—
1214#95—731no—
1215#95—731no—
1216#95—731no—
1217#95—731no—
1218#95—731no—
1219#95—731no—
1220#95—731no—
1221#95—731no—
1222#95—731no—
1223#95—731no—
1224#95—731no—
1225#95—731no—
1226#95—731no—
1227#95—731no—
1228#95—731no—
1229#95—731no—
1230#95—731no—
1231#95—731no—
1232#95—731no—
1233#95—731no—
1234#95—731no—
1235#95—731no—
1236#95—731no—
1237#95—731no—
1238#95—731no—
1239#95—731no—
1240#95C22×D7311yescharacteristic
1241#95C22×D7311yescharacteristic
1242#95C22×D7311yescharacteristic
1243#95C22×D7311yescharacteristic
1244#95C22×D7311yescharacteristic
1245#95C22×D7311yescharacteristic
1246#95C22×D7311yescharacteristic
1247#95C22×D7311yescharacteristic
1248C24—2921no—
1249C24—2921no—
1250C24—731no—
1251C24—731no—
1252C24—1462no—
1253C24—1462no—
1254C24—1462no—
1255C24—1462no—
1256C24—1462no—
1257C24C23×D7311yescharacteristic
1258C24C23×D7311yescharacteristic
1259C24C23×D7311yescharacteristic
1260C24C23×D7311yescharacteristic
1261#41—232no—
1262#41—29216no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—2921no—
1267C2×Q8—1462no—
1268C2×Q8—1462no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—2921no—
1286C2×D4—2921no—
1287C2×D4—2921no—
1288C2×D4—2921no—
1289C2×D4—2921no—
1290C2×D4—2921no—
1291C2×D4—1462no—
1292C2×D4—1462no—
1293C2×D4—1462no—
1294C2×D4—1462no—
1295C2×D4—1462no—
1296C2×D4—1462no—
1297C2×D4—1462no—
1298C2×D4—1462no—
1299C2×D4—1462no—
1300C2×D4—1462no—
1301C2×D4—1462no—
1302C2×D4—1462no—
1303C2×D4D4×D7314yes—
1304C2×D4#1192402714yescomplemented
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—2921no—
1320C22×C4—2921no—
1321C22×C4—29216no—
1322C22×C4—2921no—
1323C22×C4—2921no—
1324C22×C4—2921no—
1325C22×C4—2921no—
1326C22×C4—2921no—
1327C22×C4—731no—
1328C22×C4—734no—
1329C22×C4—734no—
1330C22×C4—731no—
1331C22×C4—731no—
1332C22×C4—731no—
1333C22×C4—731no—
1334C22×C4—734no—
1335C22×C4—731no—
1336C22×C4—731no—
1337C22×C4—731no—
1338C22×C4—731no—
1339C22×C4—731no—
1340C22×C4—731no—
1341C22×C4—731no—
1342C22×C4—731no—
1343C22×C4—731no—
1344C22×C4—1462no—
1345C22×C4—1462no—
1346C22×C4—1462no—
1347C22×C4—1462no—
1348C22×C4—1462no—
1349C22×C4—1462no—
1350C22×C4—1462no—
1351C22×C4—1462no—
1352C22×C4—1462no—
1353C22×C4—1462no—
1354C22×C4—1462no—
1355C22×C4—1462no—
1356C22×C4—1462no—
1357C22×C4—1462no—
1358C22×C4—1462no—
1359C22×C4—1462no—
1360C22×C4—1462no—
1361C22×C4—1462no—
1362C22×C4—1462no—
1363C22×C4—1462no—
1364C22×C4—1462no—
1365C22×C4—1462no—
1366C22×C4—1462no—
1367C22×C4—1462no—
1368C22×C4—1462no—
1369C22×C4—1462no—
1370C22×C4#1192402714yescomplemented
1371C22×C4C23×D7311yescharacteristic
1372C22×C4C23×D7311yescharacteristic
1373C22×C4C23×D7311yescharacteristic
1374C22×C4C23×D7311yescharacteristic
1375C22×C4C23×D7311yescharacteristic
1376C22×C4C23×D7311yescharacteristic
1377C22×C4C23×D7311yescharacteristic
1378C22×C4C23×D7311yescharacteristic
1379C22×C4C23×D7311yescharacteristic
1380C22×C4C23×D7311yescharacteristic
1381C22×C4C23×D7311yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—2921no—
1387C4⋊C4—2921no—
1388C4⋊C4—2921no—
1389C4⋊C4—2921no—
1390C4⋊C4—2921no—
1391C4⋊C4—2921no—
1392C4⋊C4—734no—
1393C4⋊C4—1462no—
1394C4⋊C4—1462no—
1395C4⋊C4—1462no—
1396C4⋊C4—1462no—
1397C4⋊C4—1462no—
1398C4⋊C4—1462no—
1399C4⋊C4—1462no—
1400C4⋊C4—1462no—
1401C4⋊C4—1462no—
1402C4⋊C4—1462no—
1403C4⋊C4—1462no—
1404C4⋊C4—1462no—
1405C4⋊C4—1462no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—2921no—
1418C22⋊C4—2921no—
1419C22⋊C4—2921no—
1420C22⋊C4—2921no—
1421C22⋊C4—2921no—
1422C22⋊C4—2921no—
1423C22⋊C4—2921no—
1424C22⋊C4—2921no—
1425C22⋊C4—2921no—
1426C22⋊C4—734no—
1427C22⋊C4—734no—
1428C22⋊C4—734no—
1429C22⋊C4—1462no—
1430C22⋊C4—1462no—
1431C22⋊C4—1462no—
1432C22⋊C4—1462no—
1433C22⋊C4—1462no—
1434C22⋊C4—1462no—
1435C22⋊C4—1462no—
1436C22⋊C4—1462no—
1437C22⋊C4—1462no—
1438C22⋊C4—1462no—
1439C22⋊C4—1462no—
1440C22⋊C4—1462no—
1441C22⋊C4—1462no—
1442C22⋊C4—1462no—
1443C22⋊C4—1462no—
1444C22⋊C4—1462no—
1445C22⋊C4—1462no—
1446C22⋊C4—1462no—
1447C22⋊C4—1462no—
1448C22⋊C4—1462no—
1449C22⋊C4—1462no—
1450C22⋊C4—1462no—
1451C22⋊C4—1462no—
1452C42—2921no—
1453C42—2921no—
1454C42—734no—
1455C42—1462no—
1456C42—1462no—
1457C42—1462no—
1458C42—1462no—
1459C42—1462no—
1460C42—1462no—
1461C42—1462no—
1462C42—1462no—
1463C42—1462no—
1464C42—1462no—
1465C42—1462no—
1466C42—1462no—
1467C42—1462no—
1468C42—1462no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—2924no—
1493C23—2924no—
1494C23—2924no—
1495C23—2924no—
1496C23—2924no—
1497C23—2924no—
1498C23—732no—
1499C23—732no—
1500C23—1468no—
1501C23—1461no—
1502C23—1461no—
1503C23—1461no—
1504C23—1461no—
1505C23—1461no—
1506C23—1461no—
1507C23—1461no—
1508C23—1461no—
1509C23—1461no—
1510C23—1461no—
1511C23—1461no—
1512C23—1461no—
1513C23C2×D4×D7312yes—
1514C23C2×D4×D7312yes—
1515C23C2×#1192402712yes—
1516C23C2×#1192402712yes—
1517C23C2×#1192402712yes—
1518C23C24×D7311yescharacteristic
1519Q8—28no—
1520Q8—2924no—
1521D4—28no—
1522D4—28no—
1523D4—28no—
1524D4—44no—
1525D4—44no—
1526D4—44no—
1527D4—2924no—
1528D4—2924no—
1529D4—2924no—
1530D4—2924no—
1531D4—2924no—
1532D4—2924no—
1533C2×C4—28no—
1534C2×C4—28no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—28no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—2924no—
1566C2×C4—2924no—
1567C2×C4—2924no—
1568C2×C4—2924no—
1569C2×C4—2924no—
1570C2×C4—2924no—
1571C2×C4—2924no—
1572C2×C4—2924no—
1573C2×C4—2924no—
1574C2×C4—732no—
1575C2×C4—732no—
1576C2×C4—732no—
1577C2×C4—732no—
1578C2×C4—732no—
1579C2×C4—732no—
1580C2×C4—732no—
1581C2×C4—1468no—
1582C2×C4—1461no—
1583C2×C4—1461no—
1584C2×C4—1461no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4—1461no—
1595C2×C4—1461no—
1596C2×C4—1461no—
1597C2×C4—1461no—
1598C2×C4—1461no—
1599C2×C4—1461no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4—1461no—
1608C2×C4—1461no—
1609C2×C4—1468no—
1610C2×C4—1468no—
1611C2×C4—1461no—
1612C2×C4—1461no—
1613C2×C4—1461no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4C2×D4×D7312yes—
1620C2×C4#41×D7312yes—
1621C2×C4#41×D7312yes—
1622C2×C4C2×#1192402712yes—
1623C2×C4C2×#1192402712yes—
1624C2×C4C2×#1192402712yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—29216no—
1653C22—2921no—
1654C22—2921no—
1655C22—2921no—
1656C22—2921no—
1657C22—2921no—
1658C22—2921no—
1659C22—2921no—
1660C22—2921no—
1661C22—1462no—
1662C22—1462no—
1663C22—1462no—
1664C22—1462no—
1665C22—1462no—
1666C22—1462no—
1667C22#1798909314yes—
1668C22C22×D4×D7311yescharacteristic
1669C22C2×#41×D7311yescharacteristic
1670C22C2×#41×D7311yescharacteristic
1671C22C22×#1192402711yescharacteristic
1672C22C22×#1192402711yescharacteristic
1673C22H(5,𝔽2)×D7311yescharacteristic
1674C22#1798942411yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—2921no—
1687C4—2921no—
1688C4—2921no—
1689C4—2921no—
1690C4—2921no—
1691C4—2921no—
1692C4—2921no—
1693C4—2921no—
1694C4—2921no—
1695C4—734no—
1696C4—1462no—
1697C4—1462no—
1698C4—1462no—
1699C4—1462no—
1700C2—24no—
1701C2—42no—
1702C2—42no—
1703C2—81no—
1704C2—2922no—
1705C2—2922no—
1706C2C2×#1798909311yescharacteristic
1707C2#2262322611yescharacteristic
1708C2#2262334811yescharacteristic
1709C2#546×D7311yescharacteristic
1710C2#2262341811yescharacteristic
1711C2#2262349411yescharacteristic
1712C2#2262353611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2430C2
hypercenter#2430D73
hypocenterC73#34732
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2430

Complements

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

NH ≅ G/Ntype
1. C2×#17989097C2semidirect
2. C2×#41×Dic73C2semidirect
3. #22614131C2semidirect
4. #22614116C2semidirect
5. #22614041C2semidirect
6. #22614026C2semidirect
7. #22613947C2semidirect
8. #22613932C2semidirect
9. #22613848C2semidirect
10. #22613833C2semidirect
11. #22613759C2semidirect
12. #22613677C2semidirect
13. #22613607C2semidirect
14. #22613473C2semidirect
15. #22613391C2semidirect
16. #22613317C2semidirect
17. #22613246C2semidirect
18. #22613213C2semidirect
19. #22613202C2semidirect
20. #22613174C2semidirect
21. #22613143C2semidirect
22. #123×Dic73C2semidirect
23. #22612450C2semidirect
24. #121×Dic73C2semidirect
25. #22612441C2semidirect
26. #22612436C2semidirect
27. #22612416C2semidirect
28. #22612371C2semidirect
29. #22612367C2semidirect
30. C2×#17988434C2semidirect
31. C73×#2430C2semidirect
46. C2×Q8×Dic73C22semidirect
47. C2×Q8×Dic73C22semidirect
53. C2×D4×Dic73C22semidirect
54. C2×D4×Dic73C22semidirect
55. C2×D4×Dic73C22semidirect
61. C2×#14556550C22semidirect
62. C2×#14556550C22semidirect
64. C2×#14556547C22semidirect
69. C22×C4×Dic73C22semidirect
70. C22×C4×Dic73C22semidirect
71. #17988529C22semidirect
72. #17988529C22semidirect
73. #17988526C22semidirect
75. #17988521C22semidirect
76. #17988519C22semidirect
77. #17988519C22semidirect
78. #17988515C22semidirect
80. #17988512C22semidirect
81. #17988510C22semidirect
85. #17988508C22semidirect
92. #17988501C22semidirect
93. #17988499C22semidirect
99. #17988491C22semidirect
100. #17988491C22semidirect
101. #17988490C22semidirect
105. #17988486C22semidirect
106. #17988484C22semidirect
107. #17988481C22semidirect
108. #17988480C22semidirect
109. #17988480C22semidirect
110. #17988480C22semidirect
111. #17988480C22semidirect
117. #17988475C22semidirect
118. #17988475C22semidirect
119. #17988474C22semidirect
120. #17988473C22semidirect
121. #17988473C22semidirect
122. #17988472C22semidirect
123. #17988470C22semidirect
124. #17988470C22semidirect
125. #17988470C22semidirect
126. #17988468C22semidirect
131. #17988467C22semidirect
141. #17988462C22semidirect
148. #17988448C22semidirect
150. #17988445C22semidirect
152. C4⋊C4×Dic73C22semidirect
153. C4⋊C4×Dic73C22semidirect
154. C4⋊C4×Dic73C22semidirect
155. #17988438C22semidirect
157. C22⋊C4×Dic73C22semidirect
158. C22⋊C4×Dic73C22semidirect
159. C22⋊C4×Dic73C22semidirect
160. C22⋊C4×Dic73C22semidirect
161. C22⋊C4×Dic73C22semidirect
172. #17988432C22semidirect
178. #395×C73C22semidirect
179. #394×C73C22semidirect
180. #393×C73C22semidirect
181. #392×C73C22semidirect
184. #386×C73C22semidirect
185. #386×C73C22semidirect
186. #385×C73C22semidirect
187. #385×C73C22semidirect
234. D4×Dic73D4semidirect
472. C2×C4×D73#41semidirect
527. #11924005#41semidirect
570. C2×D4×C73#41semidirect
585. C22×C4×C73#41semidirect
870. #2430D73semidirect
888. C73#34732semidirect
947. #395C2×D73semidirect
955. #394C2×D73semidirect
959. #393C2×D73semidirect
963. #392C2×D73semidirect
1007. #386C2×D73semidirect
1008. #386C2×D73semidirect
1016. #385C2×D73semidirect
1017. #385C2×D73semidirect
1304. C2×D4#11924027semidirect
1370. C22×C4#11924027semidirect

Maximal subgroups

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

subgroupindex
C2×#179890972
C2×#41×Dic732
#226141312
#226141162
#226140412
#226140262
#226139472
#226139322
#226138482
#226138332
#226137592
#226136772
#226136072
#226134732
#226133912
#226133172
#226132462
#226132132
#226132022
#226131742
#226131432
#123×Dic732
#226124502
#121×Dic732
#226124412
#226124362
#226124162
#226123712
#226123672
C2×#179884342
C73×#24302
#3473273