Finite Group Databasebeta

← #33249356

Subgroups — #33249356

Order 18688.

2890 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989148C211yesmaximal, characteristic
2#22613086C211yesmaximal, characteristic, complemented
3#22613086C211yesmaximal, characteristic, complemented
4#22613075C211yesmaximal, characteristic, complemented
5#22613071C211yesmaximal, characteristic, complemented
6#22613062C211yesmaximal, characteristic, complemented
7#22612971C211yesmaximal, characteristic, complemented
8#22612968C211yesmaximal, characteristic, complemented
9#22612930C211yesmaximal, characteristic, complemented
10#22612928C211yesmaximal, characteristic, complemented
11#22612918C211yesmaximal, characteristic, complemented
12#22612916C211yesmaximal, characteristic, complemented
13#22612909C211yesmaximal, characteristic, complemented
14#22612779C211yesmaximal, characteristic, complemented
15#22612779C211yesmaximal, characteristic, complemented
16C22⋊C4×D292C211yesmaximal, characteristic, complemented
17#22612751C211yesmaximal, characteristic, complemented
18#22612725C211yesmaximal, characteristic, complemented
19#22612694C211yesmaximal, characteristic, complemented
20#22612691C211yesmaximal, characteristic, complemented
21#22612623C211yesmaximal, characteristic, complemented
22#22612619C211yesmaximal, characteristic, complemented
23#22612593C211yesmaximal, characteristic, complemented
24#22612590C211yesmaximal, characteristic, complemented
25#22612587C211yesmaximal, characteristic, complemented
26#22612584C211yesmaximal, characteristic, complemented
27#22612510C211yesmaximal, characteristic, complemented
28C4×#14556561C211yesmaximal, characteristic, complemented
29#22612432C211yesmaximal, characteristic, complemented
30#386×D73C211yesmaximal, characteristic, complemented
31C73×#2335C211yesmaximal, characteristic, complemented
32C23×D292C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C23×C4×D73C2211yescharacteristic, complemented
35#17989148C4116yescomplemented
36C2×#14556576C2211yescharacteristic
37C2×#14556576C2211yescharacteristic
38C2×#14556574C2211yescharacteristic
39C2×#14556566C2211yescharacteristic
40C2×#14556566C2211yescharacteristic
41C2×#14556564C2211yescharacteristic
42C2×#14556564C2211yescharacteristic
43C2×#14556561C2211yescharacteristic
44C2×#14556561C2211yescharacteristic
45C2×#14556561C2211yescharacteristic
46C2×#14556559C2211yescharacteristic
47C2×C4×D292C2211yescharacteristic
48C2×C4×D292C2211yescharacteristic
49C2×C4×D292C2211yescharacteristic, complemented
50C2×#14556553C2211yescharacteristic
51C2×#14556553C2211yescharacteristic
52C2×#14556553C2211yescharacteristic, complemented
53C2×C4×C22⋊D73C2211yescharacteristic, complemented
54C2×#14556551C2211yescharacteristic, complemented
55C2×#14556549C2211yescharacteristic, complemented
56C2×#14556549C2211yescharacteristic, complemented
57C2×#14556549C2211yescharacteristic, complemented
58C2×#14556548C2211yescharacteristic, complemented
59C2×C22⋊C4×D73C2211yescharacteristic
60C2×C22⋊C4×D73C2211yescharacteristic
61C2×C22⋊C4×D73C2211yescharacteristic
62C2×C22⋊C4×D73C2211yescharacteristic, complemented
63C2×C22⋊C4×D73C2211yescharacteristic, complemented
64C2×C22⋊C4×D73C2211yescharacteristic, complemented
65#17988490C2211yescharacteristic
66#17988489C2211yescharacteristic, complemented
67#17988489C2211yescharacteristic, complemented
68#17988489C2211yescharacteristic, complemented
69#17988489C2211yescharacteristic, complemented
70#17988488C2211yescharacteristic, complemented
71#17988488C2211yescharacteristic, complemented
72#17988488C2211yescharacteristic, complemented
73#17988488C2211yescharacteristic, complemented
74#17988487C2211yescharacteristic
75#17988487C2211yescharacteristic
76#17988487C2211yescharacteristic, complemented
77#17988487C2211yescharacteristic, complemented
78#17988487C2211yescharacteristic, complemented
79#17988487C2211yescharacteristic, complemented
80#17988486C2211yescharacteristic, complemented
81#17988484C2211yescharacteristic, complemented
82#17988482C2211yescharacteristic, complemented
83#17988481C2211yescharacteristic, complemented
84#17988481C2211yescharacteristic, complemented
85#17988480C2211yescharacteristic, complemented
86#17988480C2211yescharacteristic, complemented
87#17988480C2211yescharacteristic, complemented
88#17988480C2211yescharacteristic, complemented
89#17988479C2211yescharacteristic, complemented
90#17988479C2211yescharacteristic, complemented
91#17988479C2211yescharacteristic, complemented
92#17988478C2211yescharacteristic, complemented
93#17988478C2211yescharacteristic, complemented
94#17988478C2211yescharacteristic, complemented
95#17988477C2211yescharacteristic, complemented
96#17988477C2211yescharacteristic, complemented
97#17988477C2211yescharacteristic, complemented
98#17988476C2211yescharacteristic, complemented
99#17988476C2211yescharacteristic, complemented
100#17988476C2211yescharacteristic, complemented
101#17988475C2211yescharacteristic, complemented
102#17988475C2211yescharacteristic, complemented
103#17988474C2211yescharacteristic, complemented
104#17988473C2211yescharacteristic, complemented
105#17988473C2211yescharacteristic, complemented
106#17988471C2211yescharacteristic, complemented
107#17988469C2211yescharacteristic, complemented
108#17988468C2211yescharacteristic, complemented
109#17988467C2211yescharacteristic
110#17988466C2211yescharacteristic, complemented
111#17988466C2211yescharacteristic, complemented
112#17988465C2211yescharacteristic
113#17988465C2211yescharacteristic
114#17988465C2211yescharacteristic
115#17988465C2211yescharacteristic
116#17988465C2211yescharacteristic, complemented
117#17988465C2211yescharacteristic, complemented
118#17988465C2211yescharacteristic, complemented
119#17988465C2211yescharacteristic, complemented
120#17988465C2211yescharacteristic, complemented
121#17988465C2211yescharacteristic, complemented
122#17988465C2211yescharacteristic, complemented
123#17988465C2211yescharacteristic, complemented
124#17988465C2211yescharacteristic, complemented
125#17988465C2211yescharacteristic, complemented
126#17988464C2211yescharacteristic, complemented
127#17988464C2211yescharacteristic, complemented
128#17988463C2211yescharacteristic
129#17988463C2211yescharacteristic
130#17988463C2211yescharacteristic, complemented
131#17988463C2211yescharacteristic, complemented
132#17988462C2211yescharacteristic, complemented
133#17988461C2211yescharacteristic, complemented
134#17988461C2211yescharacteristic, complemented
135#17988461C2211yescharacteristic, complemented
136#17988461C2211yescharacteristic, complemented
137#17988461C2211yescharacteristic, complemented
138#17988458C2211yescharacteristic, complemented
139#17988458C2211yescharacteristic, complemented
140#17988458C2211yescharacteristic, complemented
141#17988458C2211yescharacteristic, complemented
142#17988458C2211yescharacteristic, complemented
143#17988449C2211yescharacteristic, complemented
144#17988449C2211yescharacteristic, complemented
145#17988447C2211yescharacteristic, complemented
146#17988446C2211yescharacteristic, complemented
147#17988446C2211yescharacteristic, complemented
148#17988442C2211yescharacteristic
149#17988442C2211yescharacteristic
150#17988442C2211yescharacteristic, complemented
151#17988442C2211yescharacteristic, complemented
152#17988442C2211yescharacteristic, complemented
153#17988442C2211yescharacteristic, complemented
154C4⋊C4×Dic73C2211yescharacteristic, complemented
155C4×#11924007C2211yescharacteristic, complemented
156#17988438C2211yescharacteristic, complemented
157C22⋊C4×Dic73C2211yescharacteristic, complemented
158C4×#11924005C2211yescharacteristic, complemented
159C4×#11924005C2211yescharacteristic, complemented
160C4×#11924005C2211yescharacteristic, complemented
161C4×#11924005C2211yescharacteristic, complemented
162C4×#11924005C2211yescharacteristic, complemented
163C4×#11924005C2211yescharacteristic, complemented
164C4×#11924005C2211yescharacteristic, complemented
165C4×C22⋊Dic73C2211yescharacteristic, complemented
166#17988434C2211yescharacteristic, complemented
167#17988434C2211yescharacteristic, complemented
168#17988434C2211yescharacteristic, complemented
169#17988434C2211yescharacteristic, complemented
170#17988434C2211yescharacteristic, complemented
171#95×D73C2211yescharacteristic, complemented
172#95×D73C2211yescharacteristic, complemented
173C2×#123×C73C2211yescharacteristic
174#390×C73C2211yescharacteristic
175#389×C73C2211yescharacteristic, complemented
176#388×C73C2211yescharacteristic, complemented
177#388×C73C2211yescharacteristic, complemented
178#388×C73C2211yescharacteristic, complemented
179#388×C73C2211yescharacteristic, complemented
180#387×C73C2211yescharacteristic, complemented
181#387×C73C2211yescharacteristic, complemented
182#386×C73C2211yescharacteristic
183#385×C73C2211yescharacteristic, complemented
184#380×C73C2211yescharacteristic, complemented
185C4×C4⋊C4×C73C2211yescharacteristic, complemented
186C4×C22⋊C4×C73C2211yescharacteristic, complemented
187C4×C22⋊C4×C73C2211yescharacteristic, complemented
188C24×D73C2311yescharacteristic
189C24×D73C2311yescharacteristic
190C24×D73C2311yescharacteristic
191C22×D292—42no—
192C22×D292—42no—
193C22×D292C2×C418yescomplemented
194C22×D292C2311yescharacteristic
195C22×D292C2311yescharacteristic
196C22×D292C2311yescharacteristic
197C22×D292C2311yescharacteristic
198C22×D292C2311yescharacteristic
199C22×D292C2311yescharacteristic
200C22×D292C2311yescharacteristic
201C22×C22⋊D73C2311yescharacteristic
202C22×C22⋊D73C2311yescharacteristic
203C22×C22⋊D73C2311yescharacteristic
204C22×C22⋊D73C2311yescharacteristic
205C2×D4×D73—42no—
206C2×D4×D73—42no—
207C2×D4×D73C2×C418yescomplemented
208C23×Dic73C2311yescharacteristic
209C22×C4×D73—42no—
210C22×C4×D73—42no—
211C22×C4×D73—42no—
212C22×C4×D73C2311yescharacteristic
213C22×C4×D73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215C22×C4×D73C2311yescharacteristic
216C22×C4×D73C2311yescharacteristic
217C22×C4×D73C2311yescharacteristic
218C22×C4×D73C2311yescharacteristic
219C22×C4×D73C2311yescharacteristic
220C22×C4×D73C2311yescharacteristic
221C22×C4×D73C2311yescharacteristic
222C22×C4×D73C2311yescharacteristic
223C22×C4×D73C2311yescharacteristic
224C22×C4×D73C2311yescharacteristic
225#14556576C2×C418yescomplemented
226#14556576C2×C418yescomplemented
227#14556574C2×C418yescomplemented
228#14556566C2×C418yescomplemented
229#14556566C2×C418yescomplemented
230#14556564C2×C418yescomplemented
231#14556564C2×C418yescomplemented
232#14556561C2×C418yescomplemented
233#14556561C2×C418yescomplemented
234#14556561C2×C418yescomplemented
235#14556559C2×C418yescomplemented
236C4×D292—42no—
237C4×D292—42no—
238C4×D292—42no—
239#14556553—42no—
240#14556553—42no—
241#14556553—42no—
242C4×C22⋊D73—42no—
243#14556551—42no—
244#14556549—42no—
245#14556549—42no—
246#14556549—42no—
247#14556548—42no—
248C2×C4⋊Dic73C2311yescharacteristic
249C2×C4⋊Dic73C2311yescharacteristic
250C2×C4⋊Dic73C2311yescharacteristic
251C2×C4⋊Dic73C2311yescharacteristic
252C2×C4⋊Dic73C2311yescharacteristic
253C2×#11924007C2311yescharacteristic
254C2×#11924007C2311yescharacteristic
255C2×#11924007C2311yescharacteristic
256C2×#11924007C2311yescharacteristic
257C2×#11924007C2311yescharacteristic
258C2×#11924007C2311yescharacteristic
259C2×#11924007C2311yescharacteristic
260C2×#11924007C2311yescharacteristic
261C2×C22⋊Dic73C2311yescharacteristic
262C2×C22⋊Dic73C2311yescharacteristic
263C2×C22⋊Dic73C2311yescharacteristic
264C2×C22⋊Dic73C2311yescharacteristic
265C2×C22⋊Dic73C2311yescharacteristic
266C2×C22⋊Dic73C2311yescharacteristic
267C2×C22⋊Dic73C2311yescharacteristic
268C2×C22⋊Dic73C2311yescharacteristic
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
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×#11924005C2311yescharacteristic
302C2×#11924005C2311yescharacteristic
303C2×#11924005C2311yescharacteristic
304C2×#11924005C2311yescharacteristic
305C2×#11924005C2311yescharacteristic
306C2×#11924005C2311yescharacteristic
307C22⋊C4×D73—42no—
308C22⋊C4×D73—42no—
309C22⋊C4×D73—42no—
310C22⋊C4×D73—42no—
311C22⋊C4×D73—42no—
312C22⋊C4×D73C2×C418yescomplemented
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
322C2×C4×Dic73C2311yescharacteristic
323C2×C4×Dic73C2311yescharacteristic
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
346C22×D4×C73C2311yescharacteristic
347C23×C4×C73C2311yescharacteristic
348C23×C4×C73C2311yescharacteristic
349#123×C73C2×C418yescomplemented
350C2×C4⋊C4×C73C2311yescharacteristic
351C2×C4⋊C4×C73C2311yescharacteristic
352C2×C4⋊C4×C73C2311yescharacteristic
353C2×C4⋊C4×C73C2311yescharacteristic
354C2×C4⋊C4×C73C2311yescharacteristic
355C2×C4⋊C4×C73C2311yescharacteristic
356C2×C4⋊C4×C73C2311yescharacteristic
357C2×C22⋊C4×C73C2311yescharacteristic
358C2×C22⋊C4×C73C2311yescharacteristic
359C2×C22⋊C4×C73C2311yescharacteristic
360C2×C22⋊C4×C73C2311yescharacteristic
361C2×C22⋊C4×C73C2311yescharacteristic
362C2×C22⋊C4×C73C2311yescharacteristic
363C2×C22⋊C4×C73C2311yescharacteristic
364C2×C22⋊C4×C73C2311yescharacteristic
365C2×C22⋊C4×C73C2311yescharacteristic
366C2×C22⋊C4×C73C2311yescharacteristic
367C2×C42×C73C2311yescharacteristic
368C2×C42×C73C2311yescharacteristic
369C2×C42×C73C2311yescharacteristic
370C2×C42×C73C2311yescharacteristic
371C2×C42×C73C2311yescharacteristic
372#95×C73C2311yescharacteristic
373#95×C73C2311yescharacteristic
374#95×C73C2311yescharacteristic
375#95×C73C2311yescharacteristic
376#95×C73C2311yescharacteristic
377#95×C73C2311yescharacteristic
378#95×C73C2311yescharacteristic
379#95×C73C2311yescharacteristic
380#95×C73C2311yescharacteristic
381#95×C73C2311yescharacteristic
382C23×D73—22no—
383C23×D73—22no—
384C23×D73—22no—
385C23×D73—22no—
386C23×D73—41no—
387C23×D73—41no—
388C23×D73—41no—
389C23×D73—41no—
390C23×D73—41no—
391C23×D73—41no—
392C23×D73—41no—
393C23×D73—41no—
394C23×D73—41no—
395C23×D73—41no—
396C23×D73—41no—
397C23×D73—41no—
398C23×D73—41no—
399C23×D73—41no—
400C23×D73C22×C414yes—
401C23×D73C22×C414yes—
402C23×D73C22×C414yescomplemented
403C23×D73C2411yescharacteristic
404C23×D73C2411yescharacteristic
405C23×D73C2411yescharacteristic
406C23×D73C2411yescharacteristic
407C23×D73C2411yescharacteristic
408C2×D292—22no—
409C2×D292—22no—
410C2×D292—22no—
411C2×D292—22no—
412C2×D292—416no—
413C2×D292—41no—
414C2×D292—41no—
415C2×D292—41no—
416C2×D292—41no—
417C2×D292—41no—
418C2×D292—41no—
419C2×D292—41no—
420C2×D292—41no—
421C2×D292—41no—
422C2×D292—41no—
423C2×D292C22×C414yes—
424C2×D292C22×C414yes—
425C2×D292C22×C414yes—
426C2×D292C22×C414yes—
427C2×D292C22×C414yes—
428C2×D292C22×C414yescomplemented
429C2×D292C22×C414yescomplemented
430C2×C22⋊D73—41no—
431C2×C22⋊D73—41no—
432C2×C22⋊D73—41no—
433C2×C22⋊D73—41no—
434C2×C22⋊D73—41no—
435C2×C22⋊D73—41no—
436C2×C22⋊D73—41no—
437C2×C22⋊D73—41no—
438C2×C22⋊D73C22×C414yes—
439C2×C22⋊D73C22×C414yes—
440C2×C22⋊D73C22×C414yes—
441C2×C22⋊D73C22×C414yes—
442D4×D73—416no—
443C22×Dic73—22no—
444C22×Dic73—41no—
445C22×Dic73—41no—
446C22×Dic73C2411yescharacteristic
447C22×Dic73C2411yescharacteristic
448C22×Dic73C2411yescharacteristic
449C22×Dic73C2411yescharacteristic
450C22×Dic73C2411yescharacteristic
451C22×Dic73C2411yescharacteristic
452C22×Dic73C2411yescharacteristic
453C22×Dic73C2411yescharacteristic
454C22×Dic73C2411yescharacteristic
455C22×Dic73C2411yescharacteristic
456C22×Dic73C2411yescharacteristic
457C2×C4×D73—22no—
458C2×C4×D73—22no—
459C2×C4×D73—22no—
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—41no—
470C2×C4×D73—41no—
471C2×C4×D73—41no—
472C2×C4×D73—41no—
473C2×C4×D73—41no—
474C2×C4×D73—41no—
475C2×C4×D73—41no—
476C2×C4×D73—41no—
477C2×C4×D73—41no—
478C2×C4×D73—41no—
479C2×C4×D73—416no—
480C2×C4×D73—41no—
481C2×C4×D73—41no—
482C2×C4×D73—41no—
483C2×C4×D73—41no—
484C2×C4×D73—41no—
485C2×C4×D73—41no—
486C2×C4×D73—41no—
487C2×C4×D73—41no—
488C2×C4×D73—41no—
489C2×C4×D73—41no—
490C2×C4×D73—41no—
491C2×C4×D73—41no—
492C2×C4×D73—41no—
493C2×C4×D73—41no—
494C2×C4×D73C22×C414yes—
495C2×C4×D73C22×C414yescomplemented
496C2×C4×D73C22×C414yescomplemented
497C4⋊Dic73—22no—
498C4⋊Dic73—41no—
499C4⋊Dic73—41no—
500C4⋊Dic73—41no—
501C4⋊Dic73—41no—
502#11924007—41no—
503#11924007—41no—
504#11924007—41no—
505#11924007—41no—
506#11924007—41no—
507#11924007—41no—
508#11924007C22×C414yescomplemented
509#11924007C22×C414yescomplemented
510C22⋊Dic73—22no—
511C22⋊Dic73—41no—
512C22⋊Dic73—41no—
513C22⋊Dic73—41no—
514C22⋊Dic73—41no—
515C22⋊Dic73—41no—
516C22⋊Dic73—41no—
517C22⋊Dic73C22×C414yescomplemented
518#11924005—22no—
519#11924005—22no—
520#11924005—22no—
521#11924005—22no—
522#11924005—22no—
523#11924005—22no—
524#11924005—22no—
525#11924005—22no—
526#11924005—41no—
527#11924005—41no—
528#11924005—41no—
529#11924005—41no—
530#11924005—41no—
531#11924005—41no—
532#11924005—41no—
533#11924005—41no—
534#11924005—41no—
535#11924005—41no—
536#11924005—41no—
537#11924005—41no—
538#11924005—41no—
539#11924005—41no—
540#11924005—41no—
541#11924005—41no—
542#11924005—41no—
543#11924005—41no—
544#11924005—41no—
545#11924005—41no—
546#11924005—41no—
547#11924005—41no—
548#11924005C22×C414yes—
549#11924005C22×C414yes—
550#11924005C22×C414yes—
551#11924005C22×C414yes—
552#11924005C22×C414yescomplemented
553#11924005C22×C414yescomplemented
554#11924005C22×C414yescomplemented
555#11924005C22×C414yescomplemented
556C4×Dic73—22no—
557C4×Dic73—22no—
558C4×Dic73—41no—
559C4×Dic73—41no—
560C4×Dic73—41no—
561C4×Dic73—41no—
562C4×Dic73—41no—
563C4×Dic73—41no—
564C4×Dic73—41no—
565C4×Dic73—41no—
566C4×Dic73—41no—
567C24×C73C2411yescharacteristic
568C24×C73C2411yescharacteristic
569C2×D4×C73—41no—
570C2×D4×C73—41no—
571C2×D4×C73C22×C414yes—
572C22×C4×C73—22no—
573C22×C4×C73—41no—
574C22×C4×C73—41no—
575C22×C4×C73—41no—
576C22×C4×C73—41no—
577C22×C4×C73C22×C414yescomplemented
578C22×C4×C73C2411yescharacteristic
579C22×C4×C73C2411yescharacteristic
580C22×C4×C73C2411yescharacteristic
581C22×C4×C73C2411yescharacteristic
582C22×C4×C73C2411yescharacteristic
583C22×C4×C73C2411yescharacteristic
584C22×C4×C73C2411yescharacteristic
585C22×C4×C73C2411yescharacteristic
586C22×C4×C73C2411yescharacteristic
587C22×C4×C73C2411yescharacteristic
588C22×C4×C73C2411yescharacteristic
589C22×C4×C73C2411yescharacteristic
590C22×C4×C73C2411yescharacteristic
591C4⋊C4×C73—22no—
592C4⋊C4×C73—41no—
593C4⋊C4×C73—41no—
594C4⋊C4×C73—41no—
595C4⋊C4×C73—41no—
596C4⋊C4×C73C22×C414yescomplemented
597C4⋊C4×C73C22×C414yescomplemented
598C22⋊C4×C73—22no—
599C22⋊C4×C73—41no—
600C22⋊C4×C73—41no—
601C22⋊C4×C73—41no—
602C22⋊C4×C73—41no—
603C22⋊C4×C73—41no—
604C22⋊C4×C73—41no—
605C22⋊C4×C73C22×C414yes—
606C22⋊C4×C73C22×C414yes—
607C22⋊C4×C73C22×C414yescomplemented
608C42×C73—41no—
609C42×C73—41no—
610C42×C73—41no—
611C42×C73—41no—
612C42×C73—41no—
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×C73C23×C412yes—
626C23×C73C23×C412yes—
627C23×C73C2511yescharacteristic
628C22×D73—21no—
629C22×D73—21no—
630C22×D73—21no—
631C22×D73—21no—
632C22×D73—21no—
633C22×D73—21no—
634C22×D73—21no—
635C22×D73—21no—
636C22×D73—21no—
637C22×D73—21no—
638C22×D73—21no—
639C22×D73—21no—
640C22×D73—21no—
641C22×D73—21no—
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—21no—
655C22×D73—21no—
656C22×D73—28no—
657C22×D73—28no—
658C22×D73—44no—
659C22×D73—44no—
660C22×D73—44no—
661C22×D73—44no—
662C22×D73—44no—
663C22×D73—44no—
664C22×D73—44no—
665C22×D73—44no—
666C22×D73—44no—
667C22×D73—44no—
668C22×D73—44no—
669C22×D73—82no—
670C22×D73—82no—
671C22×D73—82no—
672C22×D73—82no—
673C22×D73—82no—
674C22×D73—82no—
675C22×D73—82no—
676C22×D73—82no—
677C22×D73C23×C412yes—
678C22×D73C23×C412yes—
679C22×D73C23×C412yes—
680C22×D73C23×C412yes—
681C22×D73C23×C412yes—
682C22×D73H(5,𝔽2)12yes—
683C22×D73H(5,𝔽2)12yes—
684D4×C73—44no—
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—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—44no—
719C2×C4×C73—44no—
720C2×C4×C73C23×C412yes—
721C2×C4×C73C23×C412yes—
722C2×C4×C73C23×C412yes—
723C2×C4×C73C23×C412yes—
724C2×C4×C73C23×C412yes—
725C2×C4×C73H(5,𝔽2)12yes—
726C22⋊D73—44no—
727C22⋊D73—44no—
728C22⋊D73—44no—
729C22⋊D73—44no—
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—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—44no—
760C2×Dic73C23×C412yes—
761C2×Dic73C23×C412yes—
762C2×Dic73C23×C412yes—
763C2×Dic73H(5,𝔽2)12yes—
764D292—28no—
765D292—28no—
766D292—44no—
767D292—44no—
768D292—44no—
769D292—44no—
770D292—44no—
771C4×D73—28no—
772C4×D73—44no—
773C4×D73—44no—
774C4×D73—44no—
775C4×D73—44no—
776C4×D73—44no—
777C4×D73—44no—
778C4×D73—82no—
779C4×D73—82no—
780C4×D73—82no—
781C4×D73—82no—
782C4×D73—82no—
783C4×D73—82no—
784C22×C73—22no—
785C22×C73—22no—
786C22×C73—22no—
787C22×C73—22no—
788C22×C73—22no—
789C22×C73—22no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—41no—
793C22×C73—41no—
794C22×C73—41no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73C24×C411yescharacteristic
799C22×C73C2×H(5,𝔽2)11yescharacteristic
800C22×C73C2×H(5,𝔽2)11yescharacteristic
801C22×C73C2×H(5,𝔽2)11yescharacteristic
802C22×C73C2×H(5,𝔽2)11yescharacteristic
803C22×C73#58511yescharacteristic
804C22×C73#58511yescharacteristic
805C2×D73—22no—
806C2×D73—22no—
807C2×D73—22no—
808C2×D73—22no—
809C2×D73—22no—
810C2×D73—22no—
811C2×D73—22no—
812C2×D73—22no—
813C2×D73—22no—
814C2×D73—22no—
815C2×D73—22no—
816C2×D73—22no—
817C2×D73—22no—
818C2×D73—22no—
819C2×D73—22no—
820C2×D73—22no—
821C2×D73—22no—
822C2×D73—22no—
823C2×D73—416no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—88no—
841C2×D73—88no—
842C2×D73#51814yes—
843C4×C73—22no—
844C4×C73—22no—
845C4×C73—22no—
846C4×C73—22no—
847C4×C73—22no—
848C4×C73—22no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73—41no—
856Dic73—22no—
857Dic73—22no—
858Dic73—22no—
859Dic73—22no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#34407—731nomaximal, Sylow
868C2×C73—42no—
869C2×C73—42no—
870C2×C73C2×#51811yescharacteristic
871C2×C73C4×H(5,𝔽2)11yescharacteristic
872C2×C73C4×H(5,𝔽2)11yescharacteristic
873C2×C73#353211yescharacteristic
874C2×C73#353311yescharacteristic
875C2×C73#354211yescharacteristic
876C2×C73#354211yescharacteristic
877D73—24no—
878D73—42no—
879D73—42no—
880D73—42no—
881D73—42no—
882C2×#534—731no—
883#2377—731no—
884#2377—731no—
885#2376—731no—
886#2375—731no—
887#2374—731no—
888#2363—731no—
889#2363—731no—
890#2359—731no—
891#2359—731no—
892#2359—731no—
893#2359—731no—
894#2358—731no—
895#2342—731no—
896#2342—731no—
897D4×C22⋊C4—731no—
898D4×C22⋊C4—731no—
899#2335—731no—
900#2335D7311yescharacteristic, complemented
901#2333—731no—
902#2333—731no—
903#2324—731no—
904#2324—731no—
905#2321—731no—
906#2321—731no—
907#2321—731no—
908#2321—731no—
909#2309—731no—
910C4×#120—731no—
911C4×#120—731no—
912C2×#386—731no—
913C73#3440711yescharacteristic, complemented, Sylow
914C23×D4—731no—
915C23×D4—731no—
916C24×C4—731no—
917#534—7316no—
918C2×#123—731no—
919C2×#123—731no—
920C2×#123—731no—
921C2×#123C2×D7311yescharacteristic
922C2×#121—731no—
923C2×#121—731no—
924C2×#121—731no—
925C2×#121—731no—
926C2×#120—731no—
927C2×#120—731no—
928C2×#120—731no—
929C2×#120—731no—
930C2×C4×D4—731no—
931C2×C4×D4—731no—
932C2×C4×D4—731no—
933C2×C4×D4—731no—
934C2×C4×D4—731no—
935C2×C4×D4—731no—
936C2×C4×D4—731no—
937C2×C4×D4—731no—
938C2×#117—731no—
939C2×#117—731no—
940C2×#117—731no—
941C2×#117—731no—
942C22×C22⋊C4—731no—
943C22×C22⋊C4—731no—
944C22×C22⋊C4—731no—
945C22×C22⋊C4—731no—
946C22×C22⋊C4—731no—
947C22×C22⋊C4—731no—
948#390—731no—
949#390—731no—
950#390—731no—
951#390—731no—
952#390—731no—
953#390—731no—
954#390—731no—
955#390—731no—
956#390—731no—
957#390—731no—
958#390—731no—
959#390—731no—
960#390—731no—
961#390—731no—
962#390—731no—
963#390C2×D7311yescharacteristic
964#389—731no—
965#389—731no—
966#389—731no—
967#389C2×D7311yescharacteristic, complemented
968#388—731no—
969#388—731no—
970#388—731no—
971#388—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#388—731no—
985#388—731no—
986#388—731no—
987#388—731no—
988#388C2×D7311yescharacteristic, complemented
989#388C2×D7311yescharacteristic, complemented
990#388C2×D7311yescharacteristic, complemented
991#388C2×D7311yescharacteristic, complemented
992#387—731no—
993#387—731no—
994#387—731no—
995#387—731no—
996#387—731no—
997#387—731no—
998#387C2×D7311yescharacteristic, complemented
999#387C2×D7311yescharacteristic, complemented
1000#386—731no—
1001#386—731no—
1002#386—731no—
1003#386—731no—
1004#386—731no—
1005#386—731no—
1006#386—731no—
1007#386—731no—
1008#386—731no—
1009#386—731no—
1010#386—731no—
1011#386—731no—
1012#386—731no—
1013#386—731no—
1014#386—731no—
1015#386—731no—
1016#386—731no—
1017#386—731no—
1018#386—731no—
1019#386—731no—
1020#386—731no—
1021#386—731no—
1022#386—731no—
1023#386C2×D7311yescharacteristic
1024#385—731no—
1025#385—731no—
1026#385—731no—
1027#385—731no—
1028#385—731no—
1029#385—731no—
1030#385—731no—
1031#385—731no—
1032#385—731no—
1033#385—731no—
1034#385—731no—
1035#385C2×D7311yescharacteristic, complemented
1036#381—731no—
1037#381—731no—
1038#380—731no—
1039#380—731no—
1040#380—731no—
1041#380C2×D7311yescharacteristic, complemented
1042#379—731no—
1043#379—731no—
1044#379—731no—
1045#379—731no—
1046#379—731no—
1047#379—731no—
1048C4×C4⋊C4—731no—
1049C4×C4⋊C4—731no—
1050C4×C4⋊C4—731no—
1051C4×C4⋊C4C2×D7311yescharacteristic, complemented
1052C4×C22⋊C4—731no—
1053C4×C22⋊C4—731no—
1054C4×C22⋊C4—731no—
1055C4×C22⋊C4—731no—
1056C4×C22⋊C4—731no—
1057C4×C22⋊C4—731no—
1058C4×C22⋊C4—731no—
1059C4×C22⋊C4—731no—
1060C4×C22⋊C4—731no—
1061C4×C22⋊C4—731no—
1062C4×C22⋊C4—731no—
1063C4×C22⋊C4—731no—
1064C4×C22⋊C4—731no—
1065C4×C22⋊C4—731no—
1066C4×C22⋊C4C2×D7311yescharacteristic, complemented
1067C4×C22⋊C4C2×D7311yescharacteristic, complemented
1068C2×#95—731no—
1069C2×#95—731no—
1070C25—731no—
1071C25—731no—
1072C25—731no—
1073C22×D4—2922no—
1074C22×D4—2922no—
1075C22×D4—2922no—
1076C22×D4—2922no—
1077C22×D4—731no—
1078C22×D4—731no—
1079C22×D4—731no—
1080C22×D4—731no—
1081C22×D4—738no—
1082C22×D4—738no—
1083C22×D4—731no—
1084C22×D4—731no—
1085C22×D4—731no—
1086C22×D4—731no—
1087C22×D4—731no—
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4C22×D7311yescharacteristic
1091C23×C4—2922no—
1092C23×C4—2922no—
1093C23×C4—2922no—
1094C23×C4—731no—
1095C23×C4—731no—
1096C23×C4—731no—
1097C23×C4—731no—
1098C23×C4—731no—
1099C23×C4—731no—
1100C23×C4—731no—
1101C23×C4—731no—
1102C23×C4—731no—
1103C23×C4—731no—
1104C23×C4—731no—
1105C23×C4—731no—
1106C23×C4—731no—
1107C23×C4—731no—
1108C23×C4C22×D7311yescharacteristic
1109C23×C4C22×D7311yescharacteristic
1110#123—738no—
1111#123—738no—
1112#123—738no—
1113#123C4×D7318yescomplemented
1114#121—738no—
1115#121—738no—
1116#121—738no—
1117#121—738no—
1118#120—738no—
1119#120—738no—
1120#120—738no—
1121#120—738no—
1122C4×D4—2922no—
1123C4×D4—2922no—
1124C4×D4—2922no—
1125C4×D4—2922no—
1126C4×D4—2922no—
1127C4×D4—2922no—
1128C4×D4—2922no—
1129C4×D4—2922no—
1130#117—2922no—
1131#117—2922no—
1132#117—2922no—
1133#117—2922no—
1134C2×C4⋊C4—731no—
1135C2×C4⋊C4—731no—
1136C2×C4⋊C4—731no—
1137C2×C4⋊C4—731no—
1138C2×C4⋊C4—731no—
1139C2×C4⋊C4—731no—
1140C2×C4⋊C4—731no—
1141C2×C4⋊C4—731no—
1142C2×C4⋊C4—731no—
1143C2×C4⋊C4—731no—
1144C2×C4⋊C4—731no—
1145C2×C4⋊C4—731no—
1146C2×C4⋊C4—731no—
1147C2×C4⋊C4C22×D7311yescharacteristic
1148C2×C4⋊C4C22×D7311yescharacteristic
1149C2×C4⋊C4C22×D7311yescharacteristic
1150C2×C4⋊C4C22×D7311yescharacteristic
1151C2×C4⋊C4C22×D7311yescharacteristic
1152C2×C4⋊C4C22×D7311yescharacteristic
1153C2×C4⋊C4C22×D7311yescharacteristic
1154C2×C22⋊C4—2922no—
1155C2×C22⋊C4—2922no—
1156C2×C22⋊C4—2922no—
1157C2×C22⋊C4—2922no—
1158C2×C22⋊C4—2922no—
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—731no—
1179C2×C22⋊C4—731no—
1180C2×C22⋊C4—731no—
1181C2×C22⋊C4—731no—
1182C2×C22⋊C4—731no—
1183C2×C22⋊C4—731no—
1184C2×C22⋊C4—731no—
1185C2×C22⋊C4—731no—
1186C2×C22⋊C4—731no—
1187C2×C22⋊C4—731no—
1188C2×C22⋊C4—731no—
1189C2×C22⋊C4—731no—
1190C2×C22⋊C4—731no—
1191C2×C22⋊C4—731no—
1192C2×C22⋊C4—731no—
1193C2×C22⋊C4—731no—
1194C2×C22⋊C4—731no—
1195C2×C22⋊C4—731no—
1196C2×C22⋊C4—738no—
1197C2×C22⋊C4—731no—
1198C2×C22⋊C4—731no—
1199C2×C22⋊C4—731no—
1200C2×C22⋊C4—731no—
1201C2×C22⋊C4—731no—
1202C2×C22⋊C4—731no—
1203C2×C22⋊C4—731no—
1204C2×C22⋊C4—731no—
1205C2×C22⋊C4—731no—
1206C2×C22⋊C4C22×D7311yescharacteristic
1207C2×C22⋊C4C22×D7311yescharacteristic
1208C2×C22⋊C4C22×D7311yescharacteristic
1209C2×C22⋊C4C22×D7311yescharacteristic
1210C2×C22⋊C4C22×D7311yescharacteristic
1211C2×C22⋊C4C22×D7311yescharacteristic
1212C2×C22⋊C4C22×D7311yescharacteristic
1213C2×C22⋊C4C22×D7311yescharacteristic
1214C2×C22⋊C4C22×D7311yescharacteristic
1215C2×C22⋊C4C22×D7311yescharacteristic
1216C2×C42—731no—
1217C2×C42—731no—
1218C2×C42—731no—
1219C2×C42—731no—
1220C2×C42—731no—
1221C2×C42—731no—
1222C2×C42—731no—
1223C2×C42—731no—
1224C2×C42—731no—
1225C2×C42—731no—
1226C2×C42—731no—
1227C2×C42C22×D7311yescharacteristic
1228C2×C42C22×D7311yescharacteristic
1229C2×C42C22×D7311yescharacteristic
1230C2×C42C22×D7311yescharacteristic
1231C2×C42C22×D7311yescharacteristic
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#95—731no—
1241#95—731no—
1242#95—731no—
1243#95—731no—
1244#95—731no—
1245#95—731no—
1246#95—731no—
1247#95—731no—
1248#95—731no—
1249#95—731no—
1250#95—731no—
1251#95—731no—
1252#95—731no—
1253#95—731no—
1254#95C22×D7311yescharacteristic
1255#95C22×D7311yescharacteristic
1256#95C22×D7311yescharacteristic
1257#95C22×D7311yescharacteristic
1258#95C22×D7311yescharacteristic
1259#95C22×D7311yescharacteristic
1260#95C22×D7311yescharacteristic
1261#95C22×D7311yescharacteristic
1262#95C22×D7311yescharacteristic
1263#95C22×D7311yescharacteristic
1264C24—2921no—
1265C24—2921no—
1266C24—2921no—
1267C24—2921no—
1268C24—2921no—
1269C24—2921no—
1270C24—2921no—
1271C24—2921no—
1272C24—2921no—
1273C24—2921no—
1274C24—2921no—
1275C24—2921no—
1276C24—2921no—
1277C24—2921no—
1278C24—734no—
1279C24—734no—
1280C24—734no—
1281C24—731no—
1282C24—731no—
1283C24—731no—
1284C24—731no—
1285C24—731no—
1286C24—1462no—
1287C24—1462no—
1288C24—1462no—
1289C24—1462no—
1290C24C23×D7311yescharacteristic
1291C24C23×D7311yescharacteristic
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—2921no—
1295C2×D4—2921no—
1296C2×D4—2921no—
1297C2×D4—2921no—
1298C2×D4—2921no—
1299C2×D4—2921no—
1300C2×D4—2921no—
1301C2×D4—2921no—
1302C2×D4—2921no—
1303C2×D4—2921no—
1304C2×D4—29216no—
1305C2×D4—29216no—
1306C2×D4—2921no—
1307C2×D4—2921no—
1308C2×D4—2921no—
1309C2×D4—2921no—
1310C2×D4—2921no—
1311C2×D4—2921no—
1312C2×D4—2921no—
1313C2×D4—2921no—
1314C2×D4—734no—
1315C2×D4—734no—
1316C2×D4—734no—
1317C2×D4—734no—
1318C2×D4—734no—
1319C2×D4—734no—
1320C2×D4—734no—
1321C2×D4—734no—
1322C2×D4—734no—
1323C2×D4—734no—
1324C2×D4—734no—
1325C2×D4—1462no—
1326C2×D4—1462no—
1327C2×D4—1462no—
1328C2×D4—1462no—
1329C2×D4C2×C4×D7314yes—
1330C22×C4—22no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—2921no—
1336C22×C4—2921no—
1337C22×C4—2921no—
1338C22×C4—2921no—
1339C22×C4—2921no—
1340C22×C4—2921no—
1341C22×C4—2921no—
1342C22×C4—2921no—
1343C22×C4—2921no—
1344C22×C4—2921no—
1345C22×C4—2921no—
1346C22×C4—2921no—
1347C22×C4—2921no—
1348C22×C4—2921no—
1349C22×C4—2921no—
1350C22×C4—2921no—
1351C22×C4—2921no—
1352C22×C4—2921no—
1353C22×C4—2921no—
1354C22×C4—2921no—
1355C22×C4—2921no—
1356C22×C4—2921no—
1357C22×C4—2921no—
1358C22×C4—2921no—
1359C22×C4—29216no—
1360C22×C4—2921no—
1361C22×C4—2921no—
1362C22×C4—734no—
1363C22×C4—734no—
1364C22×C4—731no—
1365C22×C4—731no—
1366C22×C4—731no—
1367C22×C4—731no—
1368C22×C4—734no—
1369C22×C4—731no—
1370C22×C4—731no—
1371C22×C4—731no—
1372C22×C4—731no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—1462no—
1377C22×C4—1462no—
1378C22×C4—1462no—
1379C22×C4—1462no—
1380C22×C4—1462no—
1381C22×C4—1462no—
1382C22×C4—1462no—
1383C22×C4—1462no—
1384C22×C4—1462no—
1385C22×C4—1462no—
1386C22×C4—1462no—
1387C22×C4—1462no—
1388C22×C4—1462no—
1389C22×C4C2×C4×D7314yescomplemented
1390C22×C4C23×D7311yescharacteristic
1391C22×C4C23×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393C22×C4C23×D7311yescharacteristic
1394C22×C4C23×D7311yescharacteristic
1395C22×C4C23×D7311yescharacteristic
1396C22×C4C23×D7311yescharacteristic
1397C22×C4C23×D7311yescharacteristic
1398C22×C4C23×D7311yescharacteristic
1399C22×C4C23×D7311yescharacteristic
1400C22×C4C23×D7311yescharacteristic
1401C22×C4C23×D7311yescharacteristic
1402C22×C4C23×D7311yescharacteristic
1403C4⋊C4—22no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—2921no—
1409C4⋊C4—2921no—
1410C4⋊C4—2921no—
1411C4⋊C4—2921no—
1412C4⋊C4—2921no—
1413C4⋊C4—2921no—
1414C4⋊C4—2921no—
1415C4⋊C4—2921no—
1416C4⋊C4—2921no—
1417C4⋊C4—2921no—
1418C4⋊C4—734no—
1419C4⋊C4—734no—
1420C4⋊C4—1462no—
1421C4⋊C4C2×C4×D7314yescomplemented
1422C4⋊C4C2×C4×D7314yescomplemented
1423C22⋊C4—22no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—2921no—
1431C22⋊C4—2921no—
1432C22⋊C4—2921no—
1433C22⋊C4—2921no—
1434C22⋊C4—2921no—
1435C22⋊C4—2921no—
1436C22⋊C4—2921no—
1437C22⋊C4—2921no—
1438C22⋊C4—2921no—
1439C22⋊C4—2921no—
1440C22⋊C4—2921no—
1441C22⋊C4—2921no—
1442C22⋊C4—2921no—
1443C22⋊C4—2921no—
1444C22⋊C4—2921no—
1445C22⋊C4—2921no—
1446C22⋊C4—2921no—
1447C22⋊C4—2921no—
1448C22⋊C4—2921no—
1449C22⋊C4—2921no—
1450C22⋊C4—2921no—
1451C22⋊C4—2921no—
1452C22⋊C4—2921no—
1453C22⋊C4—2921no—
1454C22⋊C4—2921no—
1455C22⋊C4—2921no—
1456C22⋊C4—2921no—
1457C22⋊C4—2921no—
1458C22⋊C4—734no—
1459C22⋊C4—734no—
1460C22⋊C4—734no—
1461C22⋊C4—734no—
1462C22⋊C4—734no—
1463C22⋊C4—734no—
1464C22⋊C4—734no—
1465C22⋊C4—734no—
1466C22⋊C4—734no—
1467C22⋊C4—1462no—
1468C22⋊C4—1462no—
1469C22⋊C4—1462no—
1470C22⋊C4—1462no—
1471C22⋊C4—1462no—
1472C22⋊C4—1462no—
1473C22⋊C4—1462no—
1474C22⋊C4—1462no—
1475C22⋊C4—1462no—
1476C22⋊C4C2×C4×D7314yes—
1477C22⋊C4C2×C4×D7314yes—
1478C22⋊C4C2×C4×D7314yescomplemented
1479C42—41no—
1480C42—41no—
1481C42—41no—
1482C42—41no—
1483C42—41no—
1484C42—2921no—
1485C42—2921no—
1486C42—2921no—
1487C42—2921no—
1488C42—2921no—
1489C42—2921no—
1490C42—2921no—
1491C42—2921no—
1492C42—2921no—
1493C42—1462no—
1494C42—1462no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—2924no—
1508C23—2924no—
1509C23—2924no—
1510C23—2924no—
1511C23—2924no—
1512C23—2924no—
1513C23—2924no—
1514C23—2924no—
1515C23—2924no—
1516C23—2924no—
1517C23—2924no—
1518C23—5842no—
1519C23—5842no—
1520C23—5842no—
1521C23—5842no—
1522C23—5842no—
1523C23—5842no—
1524C23—5842no—
1525C23—5842no—
1526C23—732no—
1527C23—732no—
1528C23—732no—
1529C23—732no—
1530C23—732no—
1531C23—732no—
1532C23—732no—
1533C23—1468no—
1534C23—1468no—
1535C23—1461no—
1536C23—1461no—
1537C23—1461no—
1538C23—1461no—
1539C23—1461no—
1540C23—1461no—
1541C23—1461no—
1542C23—1461no—
1543C23—1461no—
1544C23—1461no—
1545C23—1461no—
1546C23—1461no—
1547C23—1461no—
1548C23—1461no—
1549C23—1461no—
1550C23—1461no—
1551C23—1461no—
1552C23—1461no—
1553C23—1461no—
1554C23—1461no—
1555C23—1461no—
1556C23—1461no—
1557C23—1461no—
1558C23—1461no—
1559C23—1461no—
1560C23—1461no—
1561C23—1461no—
1562C23—1461no—
1563C23C22×C4×D7312yes—
1564C23C22×C4×D7312yes—
1565C23C24×D7311yescharacteristic
1566D4—44no—
1567D4—2924no—
1568D4—2924no—
1569D4—2924no—
1570D4—2924no—
1571D4—2924no—
1572D4—2924no—
1573D4—2924no—
1574D4—2924no—
1575D4—2924no—
1576D4—1468no—
1577D4—1468no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—2924no—
1614C2×C4—2924no—
1615C2×C4—2924no—
1616C2×C4—2924no—
1617C2×C4—2924no—
1618C2×C4—2924no—
1619C2×C4—2924no—
1620C2×C4—5842no—
1621C2×C4—5842no—
1622C2×C4—5842no—
1623C2×C4—5842no—
1624C2×C4—5842no—
1625C2×C4—5842no—
1626C2×C4—732no—
1627C2×C4—732no—
1628C2×C4—732no—
1629C2×C4—732no—
1630C2×C4—1468no—
1631C2×C4—1461no—
1632C2×C4—1461no—
1633C2×C4—1461no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4—1461no—
1639C2×C4—1461no—
1640C2×C4—1461no—
1641C2×C4—1461no—
1642C2×C4—1461no—
1643C2×C4—1461no—
1644C2×C4—1461no—
1645C2×C4—1461no—
1646C2×C4—1461no—
1647C2×C4—1461no—
1648C2×C4—1461no—
1649C2×C4—1461no—
1650C2×C4—1461no—
1651C2×C4—1461no—
1652C2×C4—1461no—
1653C2×C4—1461no—
1654C2×C4—1461no—
1655C2×C4—1461no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4C22×C4×D7312yes—
1661C2×C4C22×C4×D7312yes—
1662C2×C4C22×C4×D7312yes—
1663C2×C4C22×C4×D7312yes—
1664C2×C4C22×C4×D7312yes—
1665C2×C4#1455663712yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—29216no—
1681C22—2921no—
1682C22—2921no—
1683C22—2921no—
1684C22—2921no—
1685C22—2921no—
1686C22—2921no—
1687C22—2921no—
1688C22—2921no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—5848no—
1698C22—5848no—
1699C22—734no—
1700C22—1462no—
1701C22—1462no—
1702C22—1462no—
1703C22—1462no—
1704C22—1462no—
1705C22—1462no—
1706C22—1462no—
1707C22—1462no—
1708C22—1462no—
1709C22—1462no—
1710C22—1462no—
1711C22—1462no—
1712C22—1462no—
1713C22—1462no—
1714C22—1462no—
1715C22—1462no—
1716C22—1462no—
1717C22—1462no—
1718C22C23×C4×D7311yescharacteristic
1719C22H(5,𝔽2)×D7311yescharacteristic
1720C22H(5,𝔽2)×D7311yescharacteristic
1721C22H(5,𝔽2)×D7311yescharacteristic
1722C22C2×#1455663711yescharacteristic
1723C22#1798942311yescharacteristic
1724C22#1798942411yescharacteristic
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—22no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—2921no—
1739C4—2921no—
1740C4—2921no—
1741C4—2921no—
1742C4—2921no—
1743C4—2921no—
1744C4—2921no—
1745C4—1462no—
1746C4—1462no—
1747C4—1462no—
1748C4—1462no—
1749C2—42no—
1750C2—42no—
1751C2—2922no—
1752C2—2922no—
1753C2—2922no—
1754C2—2922no—
1755C2—1464no—
1756C2#518×D7311yescharacteristic
1757C2#2262313711yescharacteristic
1758C2C4×#1455663711yescharacteristic
1759C2#2262408211yescharacteristic
1760C2#2262410611yescharacteristic
1761C2#2262423811yescharacteristic
1762C2#2262424311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutatorC22×C73C24×C4
FittingC73×#2335C2
socle, cosocleC23×C73C25
prime radicalC2×#17989148C2
hypercenter#2335D73
hypocenterC73#34407
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #22613086C2semidirect
3. #22613086C2semidirect
4. #22613075C2semidirect
5. #22613071C2semidirect
6. #22613062C2semidirect
7. #22612971C2semidirect
8. #22612968C2semidirect
9. #22612930C2semidirect
10. #22612928C2semidirect
11. #22612918C2semidirect
12. #22612916C2semidirect
13. #22612909C2semidirect
14. #22612779C2semidirect
15. #22612779C2semidirect
16. C22⋊C4×D292C2semidirect
17. #22612751C2semidirect
18. #22612725C2semidirect
19. #22612694C2semidirect
20. #22612691C2semidirect
21. #22612623C2semidirect
22. #22612619C2semidirect
23. #22612593C2semidirect
24. #22612590C2semidirect
25. #22612587C2semidirect
26. #22612584C2semidirect
27. #22612510C2semidirect
28. C4×#14556561C2semidirect
29. #22612432C2semidirect
30. #386×D73C2semidirect
31. C73×#2335C2semidirect
34. C23×C4×D73C22semidirect
35. #17989148C4semidirect
49. C2×C4×D292C22semidirect
52. C2×#14556553C22semidirect
53. C2×C4×C22⋊D73C22semidirect
54. C2×#14556551C22semidirect
55. C2×#14556549C22semidirect
56. C2×#14556549C22semidirect
57. C2×#14556549C22semidirect
58. C2×#14556548C22semidirect
62. C2×C22⋊C4×D73C22semidirect
63. C2×C22⋊C4×D73C22semidirect
64. C2×C22⋊C4×D73C22semidirect
66. #17988489C22semidirect
67. #17988489C22semidirect
68. #17988489C22semidirect
69. #17988489C22semidirect
70. #17988488C22semidirect
71. #17988488C22semidirect
72. #17988488C22semidirect
73. #17988488C22semidirect
76. #17988487C22semidirect
77. #17988487C22semidirect
78. #17988487C22semidirect
79. #17988487C22semidirect
80. #17988486C22semidirect
81. #17988484C22semidirect
82. #17988482C22semidirect
83. #17988481C22semidirect
84. #17988481C22semidirect
85. #17988480C22semidirect
86. #17988480C22semidirect
87. #17988480C22semidirect
88. #17988480C22semidirect
89. #17988479C22semidirect
90. #17988479C22semidirect
91. #17988479C22semidirect
92. #17988478C22semidirect
93. #17988478C22semidirect
94. #17988478C22semidirect
95. #17988477C22semidirect
96. #17988477C22semidirect
97. #17988477C22semidirect
98. #17988476C22semidirect
99. #17988476C22semidirect
100. #17988476C22semidirect
101. #17988475C22semidirect
102. #17988475C22semidirect
103. #17988474C22semidirect
104. #17988473C22semidirect
105. #17988473C22semidirect
106. #17988471C22semidirect
107. #17988469C22semidirect
108. #17988468C22semidirect
110. #17988466C22semidirect
111. #17988466C22semidirect
116. #17988465C22semidirect
117. #17988465C22semidirect
118. #17988465C22semidirect
119. #17988465C22semidirect
120. #17988465C22semidirect
121. #17988465C22semidirect
122. #17988465C22semidirect
123. #17988465C22semidirect
124. #17988465C22semidirect
125. #17988465C22semidirect
126. #17988464C22semidirect
127. #17988464C22semidirect
130. #17988463C22semidirect
131. #17988463C22semidirect
132. #17988462C22semidirect
133. #17988461C22semidirect
134. #17988461C22semidirect
135. #17988461C22semidirect
136. #17988461C22semidirect
137. #17988461C22semidirect
138. #17988458C22semidirect
139. #17988458C22semidirect
140. #17988458C22semidirect
141. #17988458C22semidirect
142. #17988458C22semidirect
143. #17988449C22semidirect
144. #17988449C22semidirect
145. #17988447C22semidirect
146. #17988446C22semidirect
147. #17988446C22semidirect
150. #17988442C22semidirect
151. #17988442C22semidirect
152. #17988442C22semidirect
153. #17988442C22semidirect
154. C4⋊C4×Dic73C22semidirect
155. C4×#11924007C22semidirect
156. #17988438C22semidirect
157. C22⋊C4×Dic73C22semidirect
158. C4×#11924005C22semidirect
159. C4×#11924005C22semidirect
160. C4×#11924005C22semidirect
161. C4×#11924005C22semidirect
162. C4×#11924005C22semidirect
163. C4×#11924005C22semidirect
164. C4×#11924005C22semidirect
165. C4×C22⋊Dic73C22semidirect
166. #17988434C22semidirect
167. #17988434C22semidirect
168. #17988434C22semidirect
169. #17988434C22semidirect
170. #17988434C22semidirect
171. #95×D73C22semidirect
172. #95×D73C22semidirect
175. #389×C73C22semidirect
176. #388×C73C22semidirect
177. #388×C73C22semidirect
178. #388×C73C22semidirect
179. #388×C73C22semidirect
180. #387×C73C22semidirect
181. #387×C73C22semidirect
183. #385×C73C22semidirect
184. #380×C73C22semidirect
185. C4×C4⋊C4×C73C22semidirect
186. C4×C22⋊C4×C73C22semidirect
187. C4×C22⋊C4×C73C22semidirect
193. C22×D292C2×C4semidirect
207. C2×D4×D73C2×C4semidirect
225. #14556576C2×C4semidirect
226. #14556576C2×C4semidirect
227. #14556574C2×C4semidirect
228. #14556566C2×C4semidirect
229. #14556566C2×C4semidirect
230. #14556564C2×C4semidirect
231. #14556564C2×C4semidirect
232. #14556561C2×C4semidirect
233. #14556561C2×C4semidirect
234. #14556561C2×C4semidirect
235. #14556559C2×C4semidirect
312. C22⋊C4×D73C2×C4semidirect
349. #123×C73C2×C4semidirect
402. C23×D73C22×C4semidirect
428. C2×D292C22×C4semidirect
429. C2×D292C22×C4semidirect
495. C2×C4×D73C22×C4semidirect
496. C2×C4×D73C22×C4semidirect
508. #11924007C22×C4semidirect
509. #11924007C22×C4semidirect
517. C22⋊Dic73C22×C4semidirect
552. #11924005C22×C4semidirect
553. #11924005C22×C4semidirect
554. #11924005C22×C4semidirect
555. #11924005C22×C4semidirect
577. C22×C4×C73C22×C4semidirect
596. C4⋊C4×C73C22×C4semidirect
597. C4⋊C4×C73C22×C4semidirect
607. C22⋊C4×C73C22×C4semidirect
900. #2335D73semidirect
913. C73#34407semidirect
967. #389C2×D73semidirect
988. #388C2×D73semidirect
989. #388C2×D73semidirect
990. #388C2×D73semidirect
991. #388C2×D73semidirect
998. #387C2×D73semidirect
999. #387C2×D73semidirect
1035. #385C2×D73semidirect
1041. #380C2×D73semidirect
1051. C4×C4⋊C4C2×D73semidirect
1066. C4×C22⋊C4C2×D73semidirect
1067. C4×C22⋊C4C2×D73semidirect
1113. #123C4×D73semidirect
1389. C22×C4C2×C4×D73semidirect
1421. C4⋊C4C2×C4×D73semidirect
1422. C4⋊C4C2×C4×D73semidirect
1478. C22⋊C4C2×C4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891482
#226130862
#226130752
#226130712
#226130622
#226129712
#226129682
#226129302
#226129282
#226129182
#226129162
#226129092
#226127792
C22⋊C4×D2922
#226127512
#226127252
#226126942
#226126912
#226126232
#226126192
#226125932
#226125902
#226125872
#226125842
#226125102
C4×#145565612
#226124322
#386×D732
C73×#23352
#3440773