Finite Group Databasebeta

← #33258929

Subgroups — #33258929

Order 18688.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989171C211yesmaximal, characteristic, complemented
2C2×#17989169C211yesmaximal, characteristic, complemented
3#22618297C211yesmaximal, characteristic, complemented
4#22618286C211yesmaximal, characteristic, complemented
5#22618274C211yesmaximal, characteristic, complemented
6#22618259C211yesmaximal, characteristic, complemented
7#22616075C211yesmaximal, characteristic, complemented
8#22616073C211yesmaximal, characteristic, complemented
9#22616058C211yesmaximal, characteristic, complemented
10#22616056C211yesmaximal, characteristic, complemented
11#22615000C211yesmaximal, characteristic, complemented
12#22614993C211yesmaximal, characteristic, complemented
13#22614991C211yesmaximal, characteristic, complemented
14#22614514C211yesmaximal, characteristic, complemented
15#22614291C211yesmaximal, characteristic, complemented
16#22614061C211yesmaximal, characteristic, complemented
17#22614053C211yesmaximal, characteristic, complemented
18#22613693C211yesmaximal, characteristic, complemented
19#22613626C211yesmaximal, characteristic, complemented
20#22613563C211yesmaximal, characteristic, complemented
21#22613516C211yesmaximal, characteristic, complemented
22#22613466C211yesmaximal, characteristic, complemented
23#22613464C211yesmaximal, characteristic, complemented
24#22613364C211yesmaximal, characteristic, complemented
25#22613280C211yesmaximal, characteristic, complemented
26#22612593C211yesmaximal, characteristic, complemented
27#22612587C211yesmaximal, characteristic, complemented
28C4×#14556564C211yesmaximal, characteristic, complemented
29#390×D73C211yesmaximal, characteristic, complemented
30C4×#14556551C211yesmaximal, characteristic, complemented
31C73×#2555C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33#17989171—28no—
34#17989169—28no—
35C2×#14556589C2211yescharacteristic, complemented
36C2×#14556587C2211yescharacteristic
37C2×#14556587C2211yescharacteristic
38C2×#14556586C2211yescharacteristic, complemented
39C2×#14556585C2211yescharacteristic, complemented
40C2×#14556584C2211yescharacteristic, complemented
41C2×#14556584C2211yescharacteristic, complemented
42C2×#14556580C2211yescharacteristic, complemented
43C2×#14556579C2211yescharacteristic, complemented
44C2×#14556578C2211yescharacteristic, complemented
45C2×#14556577C2211yescharacteristic, complemented
46C2×#14556575C2211yescharacteristic, complemented
47C2×#14556574C2211yescharacteristic, complemented
48C2×#14556573C2211yescharacteristic, complemented
49C2×#14556572C2211yescharacteristic, complemented
50C2×#14556569C2211yescharacteristic
51C2×#14556567C2211yescharacteristic
52C2×#14556565C2211yescharacteristic, complemented
53C2×#14556564C2211yescharacteristic
54C2×#14556564C2211yescharacteristic
55C2×#14556564C2211yescharacteristic, complemented
56C2×#14556563C2211yescharacteristic
57C2×#14556563C2211yescharacteristic
58C2×#14556563C2211yescharacteristic, complemented
59C2×#14556563C2211yescharacteristic, complemented
60C2×#14556563C2211yescharacteristic, complemented
61C2×#14556562C2211yescharacteristic
62C2×#14556561C2211yescharacteristic
63C2×#14556561C2211yescharacteristic
64C2×#14556559C2211yescharacteristic
65C2×#14556559C2211yescharacteristic
66C2×#14556559C2211yescharacteristic
67C2×#14556559C2211yescharacteristic
68C2×C4×D292C2211yescharacteristic
69C2×C4×C22⋊D73C2211yescharacteristic
70C2×C4×C22⋊D73C2211yescharacteristic
71C2×C4×C22⋊D73C2211yescharacteristic, complemented
72C2×#14556551C2211yescharacteristic
73C2×#14556551C2211yescharacteristic
74C2×C4⋊C4×D73C2211yescharacteristic
75C2×C22⋊C4×D73C2211yescharacteristic
76C2×C22⋊C4×D73C2211yescharacteristic
77C2×C22⋊C4×D73C2211yescharacteristic
78C2×C22⋊C4×D73C2211yescharacteristic
79C22×C4×Dic73C2211yescharacteristic, complemented
80C2×C42×D73C2211yescharacteristic
81#17988521C2211yescharacteristic, complemented
82#17988520C2211yescharacteristic, complemented
83#17988516C2211yescharacteristic, complemented
84#17988515C2211yescharacteristic, complemented
85#17988510C2211yescharacteristic, complemented
86#17988510C2211yescharacteristic, complemented
87#17988509C2211yescharacteristic, complemented
88#17988509C2211yescharacteristic, complemented
89#17988508C2211yescharacteristic, complemented
90#17988505C2211yescharacteristic
91#17988505C2211yescharacteristic, complemented
92#17988504C2211yescharacteristic, complemented
93#17988503C2211yescharacteristic, complemented
94#17988503C2211yescharacteristic, complemented
95#17988502C2211yescharacteristic, complemented
96#17988502C2211yescharacteristic, complemented
97#17988501C2211yescharacteristic
98#17988501C2211yescharacteristic, complemented
99#17988501C2211yescharacteristic, complemented
100#17988501C2211yescharacteristic, complemented
101#17988499C2211yescharacteristic, complemented
102#17988498C2211yescharacteristic, complemented
103#17988497C2211yescharacteristic
104#17988496C2211yescharacteristic
105#17988496C2211yescharacteristic
106#17988495C2211yescharacteristic
107#17988495C2211yescharacteristic, complemented
108#17988495C2211yescharacteristic, complemented
109#17988490C2211yescharacteristic
110#17988490C2211yescharacteristic, complemented
111#17988489C2211yescharacteristic
112#17988488C2211yescharacteristic
113#17988488C2211yescharacteristic, complemented
114#17988487C2211yescharacteristic
115#17988487C2211yescharacteristic
116#17988487C2211yescharacteristic
117#17988487C2211yescharacteristic
118#17988487C2211yescharacteristic
119#17988487C2211yescharacteristic
120#17988487C2211yescharacteristic
121#17988487C2211yescharacteristic
122#17988487C2211yescharacteristic, complemented
123#17988487C2211yescharacteristic, complemented
124#17988487C2211yescharacteristic, complemented
125#17988487C2211yescharacteristic, complemented
126#17988487C2211yescharacteristic, complemented
127#17988487C2211yescharacteristic, complemented
128#17988487C2211yescharacteristic, complemented
129#17988487C2211yescharacteristic, complemented
130#17988484C2211yescharacteristic, complemented
131#17988484C2211yescharacteristic, complemented
132#17988484C2211yescharacteristic, complemented
133#17988482C2211yescharacteristic, complemented
134#17988480C2211yescharacteristic, complemented
135#17988480C2211yescharacteristic, complemented
136#17988480C2211yescharacteristic, complemented
137#17988480C2211yescharacteristic, complemented
138#17988479C2211yescharacteristic, complemented
139#17988479C2211yescharacteristic, complemented
140#17988478C2211yescharacteristic, complemented
141#17988478C2211yescharacteristic, complemented
142#17988476C2211yescharacteristic, complemented
143#17988476C2211yescharacteristic, complemented
144#17988476C2211yescharacteristic, complemented
145#17988476C2211yescharacteristic, complemented
146#17988475C2211yescharacteristic, complemented
147#17988475C2211yescharacteristic, complemented
148#17988466C2211yescharacteristic, complemented
149#17988466C2211yescharacteristic, complemented
150#17988465C2211yescharacteristic
151#17988465C2211yescharacteristic
152#17988465C2211yescharacteristic, complemented
153#17988463C2211yescharacteristic
154#17988463C2211yescharacteristic
155#17988463C2211yescharacteristic, complemented
156#17988461C2211yescharacteristic
157#17988458C2211yescharacteristic
158#17988456C2211yescharacteristic, complemented
159#17988446C2211yescharacteristic
160#17988445C2211yescharacteristic, complemented
161#17988442C2211yescharacteristic
162#17988442C2211yescharacteristic
163C4×#11924007C2211yescharacteristic, complemented
164C4×#11924007C2211yescharacteristic, complemented
165#17988438C2211yescharacteristic, complemented
166#17988438C2211yescharacteristic, complemented
167C22⋊C4×Dic73C2211yescharacteristic, complemented
168C22⋊C4×Dic73C2211yescharacteristic, complemented
169C4×#11924005C2211yescharacteristic
170C4×#11924005C2211yescharacteristic, complemented
171#17988434C2211yescharacteristic
172#17988434C2211yescharacteristic
173C42×Dic73C2211yescharacteristic, complemented
174C2×#124×C73C2211yescharacteristic, complemented
175C2×#124×C73C2211yescharacteristic, complemented
176C2×#121×C73C2211yescharacteristic, complemented
177C2×#121×C73C2211yescharacteristic, complemented
178#395×C73C2211yescharacteristic, complemented
179#394×C73C2211yescharacteristic, complemented
180#392×C73C2211yescharacteristic
181#392×C73C2211yescharacteristic
182#390×C73C2211yescharacteristic
183#388×C73C2211yescharacteristic, complemented
184#388×C73C2211yescharacteristic, complemented
185#386×C73C2211yescharacteristic, complemented
186#386×C73C2211yescharacteristic, complemented
187C4×C22⋊C4×C73C2211yescharacteristic, complemented
188C4×C22⋊C4×C73C2211yescharacteristic, complemented
189C24×D73C2311yescharacteristic
190C24×D73C2311yescharacteristic
191C22×Dic146C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×D292C2311yescharacteristic
195C22×D292C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C22×C22⋊D73C2311yescharacteristic
201C22×C22⋊D73C2311yescharacteristic
202C22×C22⋊D73C2311yescharacteristic
203C22×C22⋊D73C2311yescharacteristic
204C22×C22⋊D73C2311yescharacteristic
205C22×C22⋊D73C2311yescharacteristic
206C22×C22⋊D73C2311yescharacteristic
207C22×C22⋊D73C2311yescharacteristic
208C2×D4×D73—24no—
209C2×D4×D73—42no—
210C2×D4×D73—42no—
211C23×Dic73C2311yescharacteristic
212C23×Dic73C2311yescharacteristic
213C22×C4×D73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215C22×C4×D73C2311yescharacteristic
216C22×C4×D73C2311yescharacteristic
217C22×C4×D73C2311yescharacteristic
218C22×C4×D73C2311yescharacteristic
219#14556589—42no—
220#14556587—42no—
221#14556587—42no—
222#14556586—24no—
223#14556585—24no—
224#14556584—24no—
225#14556584—24no—
226#14556580—24no—
227#14556579—42no—
228#14556578—24no—
229#14556577—24no—
230#14556575—24no—
231#14556574—24no—
232#14556573—24no—
233#14556572—24no—
234#14556569—24no—
235#14556567—24no—
236#14556565—42no—
237#14556564—24no—
238#14556564—24no—
239#14556564—24no—
240#14556563—24no—
241#14556563—24no—
242#14556563—42no—
243#14556563—42no—
244#14556563—42no—
245#14556562—24no—
246#14556561—24no—
247#14556561—24no—
248#14556559—24no—
249#14556559—24no—
250#14556559—24no—
251#14556559—24no—
252C4×D292—24no—
253C4×C22⋊D73—24no—
254C4×C22⋊D73—24no—
255C4×C22⋊D73—42no—
256#14556551—24no—
257#14556551D418yescomplemented
258C2×C4⋊Dic73C2311yescharacteristic
259C2×C4⋊Dic73C2311yescharacteristic
260C2×C4⋊Dic73C2311yescharacteristic
261C2×C4⋊Dic73C2311yescharacteristic
262C2×C4⋊Dic73C2311yescharacteristic
263C2×#11924007C2311yescharacteristic
264C2×#11924007C2311yescharacteristic
265C2×#11924007C2311yescharacteristic
266C2×#11924007C2311yescharacteristic
267C2×#11924007C2311yescharacteristic
268C2×#11924007C2311yescharacteristic
269C2×#11924007C2311yescharacteristic
270C2×#11924007C2311yescharacteristic
271C2×#11924007C2311yescharacteristic
272C2×#11924007C2311yescharacteristic
273C2×#11924007C2311yescharacteristic
274C2×#11924007C2311yescharacteristic
275C2×#11924007C2311yescharacteristic
276C2×#11924007C2311yescharacteristic
277C2×#11924007C2311yescharacteristic
278C2×#11924007C2311yescharacteristic
279C4⋊C4×D73—42no—
280C2×C22⋊Dic73C2311yescharacteristic
281C2×C22⋊Dic73C2311yescharacteristic
282C2×C22⋊Dic73C2311yescharacteristic
283C2×C22⋊Dic73C2311yescharacteristic
284C2×C22⋊Dic73C2311yescharacteristic
285C2×C22⋊Dic73C2311yescharacteristic
286C2×C22⋊Dic73C2311yescharacteristic
287C2×C22⋊Dic73C2311yescharacteristic
288C2×C22⋊Dic73C2311yescharacteristic
289C2×C22⋊Dic73C2311yescharacteristic
290C2×C22⋊Dic73C2311yescharacteristic
291C2×C22⋊Dic73C2311yescharacteristic
292C2×C22⋊Dic73C2311yescharacteristic
293C2×C22⋊Dic73C2311yescharacteristic
294C2×C22⋊Dic73C2311yescharacteristic
295C2×C22⋊Dic73C2311yescharacteristic
296C2×#11924005C2311yescharacteristic
297C2×#11924005C2311yescharacteristic
298C2×#11924005C2311yescharacteristic
299C2×#11924005C2311yescharacteristic
300C2×#11924005C2311yescharacteristic
301C2×#11924005C2311yescharacteristic
302C2×#11924005C2311yescharacteristic
303C2×#11924005C2311yescharacteristic
304C2×#11924005C2311yescharacteristic
305C2×#11924005C2311yescharacteristic
306C2×#11924005C2311yescharacteristic
307C2×#11924005C2311yescharacteristic
308C2×#11924005C2311yescharacteristic
309C2×#11924005C2311yescharacteristic
310C2×#11924005C2311yescharacteristic
311C2×#11924005C2311yescharacteristic
312C2×#11924005C2311yescharacteristic
313C2×#11924005C2311yescharacteristic
314C2×#11924005C2311yescharacteristic
315C2×#11924005C2311yescharacteristic
316C2×#11924005C2311yescharacteristic
317C2×#11924005C2311yescharacteristic
318C2×#11924005C2311yescharacteristic
319C2×#11924005C2311yescharacteristic
320C2×#11924005C2311yescharacteristic
321C2×#11924005C2311yescharacteristic
322C2×#11924005C2311yescharacteristic
323C2×#11924005C2311yescharacteristic
324C2×#11924005C2311yescharacteristic
325C2×#11924005C2311yescharacteristic
326C22⋊C4×D73—24no—
327C22⋊C4×D73—24no—
328C22⋊C4×D73—42no—
329C22⋊C4×D73—42no—
330C2×C4×Dic73—42no—
331C2×C4×Dic73C2311yescharacteristic
332C2×C4×Dic73C2311yescharacteristic
333C2×C4×Dic73C2311yescharacteristic
334C2×C4×Dic73C2311yescharacteristic
335C2×C4×Dic73C2311yescharacteristic
336C2×C4×Dic73C2311yescharacteristic
337C2×C4×Dic73C2311yescharacteristic
338C2×C4×Dic73C2311yescharacteristic
339C2×C4×Dic73C2311yescharacteristic
340C2×C4×Dic73C2311yescharacteristic
341C2×C4×Dic73C2311yescharacteristic
342C2×C4×Dic73C2311yescharacteristic
343C42×D73—42no—
344#14556498C2311yescharacteristic
345#14556498C2311yescharacteristic
346#14556498C2311yescharacteristic
347#14556498C2311yescharacteristic
348#14556498C2311yescharacteristic
349#14556498C2311yescharacteristic
350#14556498C2311yescharacteristic
351#14556498C2311yescharacteristic
352#14556498C2311yescharacteristic
353#14556498C2311yescharacteristic
354#14556498C2311yescharacteristic
355#14556498C2311yescharacteristic
356#14556498C2311yescharacteristic
357#14556498C2311yescharacteristic
358C22×Q8×C73C2311yescharacteristic
359C22×D4×C73C2311yescharacteristic
360C22×D4×C73C2311yescharacteristic
361C22×D4×C73C2311yescharacteristic
362C22×D4×C73C2311yescharacteristic
363C22×D4×C73C2311yescharacteristic
364C22×D4×C73C2311yescharacteristic
365C23×C4×C73C2311yescharacteristic
366C23×C4×C73C2311yescharacteristic
367#124×C73—24no—
368#124×C73—42no—
369#121×C73—24no—
370#121×C73—42no—
371C2×C4⋊C4×C73C2311yescharacteristic
372C2×C4⋊C4×C73C2311yescharacteristic
373C2×C4⋊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
383C2×C22⋊C4×C73C2311yescharacteristic
384C2×C22⋊C4×C73C2311yescharacteristic
385C2×C22⋊C4×C73C2311yescharacteristic
386C2×C22⋊C4×C73C2311yescharacteristic
387C2×C22⋊C4×C73C2311yescharacteristic
388C2×C42×C73C2311yescharacteristic
389C2×C42×C73C2311yescharacteristic
390C2×C42×C73C2311yescharacteristic
391#95×C73C2311yescharacteristic
392#95×C73C2311yescharacteristic
393#95×C73C2311yescharacteristic
394#95×C73C2311yescharacteristic
395#95×C73C2311yescharacteristic
396#95×C73C2311yescharacteristic
397C23×D73—22no—
398C23×D73—22no—
399C23×D73—22no—
400C23×D73—22no—
401C23×D73—22no—
402C23×D73—22no—
403C23×D73—41no—
404C23×D73—41no—
405C23×D73—41no—
406C23×D73—41no—
407C23×D73—41no—
408C23×D73—41no—
409C23×D73—41no—
410C23×D73—41no—
411C23×D73C2411yescharacteristic
412C23×D73C2411yescharacteristic
413C23×D73C2411yescharacteristic
414C23×D73C2411yescharacteristic
415C2×Dic146—22no—
416C2×Dic146—41no—
417C2×Dic146—41no—
418C2×D292—22no—
419C2×D292—22no—
420C2×D292—22no—
421C2×D292—22no—
422C2×D292—22no—
423C2×D292—22no—
424C2×D292—41no—
425C2×D292—41no—
426C2×D292—41no—
427C2×D292—41no—
428C2×D292—41no—
429C2×D292—41no—
430C2×C22⋊D73—22no—
431C2×C22⋊D73—22no—
432C2×C22⋊D73—22no—
433C2×C22⋊D73—22no—
434C2×C22⋊D73—22no—
435C2×C22⋊D73—22no—
436C2×C22⋊D73—22no—
437C2×C22⋊D73—22no—
438C2×C22⋊D73—22no—
439C2×C22⋊D73—22no—
440C2×C22⋊D73—22no—
441C2×C22⋊D73—22no—
442C2×C22⋊D73—22no—
443C2×C22⋊D73—22no—
444C2×C22⋊D73—22no—
445C2×C22⋊D73—22no—
446C2×C22⋊D73—22no—
447C2×C22⋊D73—22no—
448C2×C22⋊D73—22no—
449C2×C22⋊D73—22no—
450C2×C22⋊D73—22no—
451C2×C22⋊D73—41no—
452C2×C22⋊D73—41no—
453C2×C22⋊D73—41no—
454C2×C22⋊D73—41no—
455C2×C22⋊D73—41no—
456C2×C22⋊D73—41no—
457C2×C22⋊D73—41no—
458C2×C22⋊D73—41no—
459C2×C22⋊D73—41no—
460C2×C22⋊D73—41no—
461C2×C22⋊D73—41no—
462C2×C22⋊D73—41no—
463C2×C22⋊D73—41no—
464C2×C22⋊D73—41no—
465C2×C22⋊D73C2×D414yes—
466D4×D73—416no—
467C22×Dic73—22no—
468C22×Dic73—22no—
469C22×Dic73—22no—
470C22×Dic73—41no—
471C22×Dic73—41no—
472C22×Dic73C2×D414yescomplemented
473C22×Dic73C2411yescharacteristic
474C22×Dic73C2411yescharacteristic
475C22×Dic73C2411yescharacteristic
476C22×Dic73C2411yescharacteristic
477C22×Dic73C2411yescharacteristic
478C22×Dic73C2411yescharacteristic
479C22×Dic73C2411yescharacteristic
480C22×Dic73C2411yescharacteristic
481C22×Dic73C2411yescharacteristic
482C22×Dic73C2411yescharacteristic
483C22×Dic73C2411yescharacteristic
484C22×Dic73C2411yescharacteristic
485C2×C4×D73—22no—
486C2×C4×D73—22no—
487C2×C4×D73—22no—
488C2×C4×D73—22no—
489C2×C4×D73—22no—
490C2×C4×D73—22no—
491C2×C4×D73—22no—
492C2×C4×D73—41no—
493C2×C4×D73—41no—
494C2×C4×D73—41no—
495C2×C4×D73—41no—
496C2×C4×D73—41no—
497C2×C4×D73—41no—
498C2×C4×D73—41no—
499C2×C4×D73—41no—
500C2×C4×D73—41no—
501C2×C4×D73C2×D414yes—
502C2×C4×D73#4114yes—
503C4⋊Dic73—22no—
504C4⋊Dic73—22no—
505C4⋊Dic73—22no—
506C4⋊Dic73—41no—
507C4⋊Dic73—41no—
508#11924007—22no—
509#11924007—22no—
510#11924007—22no—
511#11924007—22no—
512#11924007—22no—
513#11924007—22no—
514#11924007—22no—
515#11924007—22no—
516#11924007—22no—
517#11924007—22no—
518#11924007—22no—
519#11924007—22no—
520#11924007—22no—
521#11924007—41no—
522#11924007—41no—
523#11924007C2×D414yescomplemented
524C22⋊Dic73—22no—
525C22⋊Dic73—22no—
526C22⋊Dic73—22no—
527C22⋊Dic73—22no—
528C22⋊Dic73—22no—
529C22⋊Dic73—22no—
530C22⋊Dic73—22no—
531C22⋊Dic73—22no—
532C22⋊Dic73—22no—
533C22⋊Dic73—22no—
534C22⋊Dic73—41no—
535C22⋊Dic73—41no—
536C22⋊Dic73—41no—
537C22⋊Dic73—41no—
538C22⋊Dic73—41no—
539C22⋊Dic73—41no—
540#11924005—22no—
541#11924005—22no—
542#11924005—22no—
543#11924005—22no—
544#11924005—22no—
545#11924005—22no—
546#11924005—22no—
547#11924005—22no—
548#11924005—22no—
549#11924005—22no—
550#11924005—22no—
551#11924005—22no—
552#11924005—22no—
553#11924005—22no—
554#11924005—22no—
555#11924005—22no—
556#11924005—22no—
557#11924005—22no—
558#11924005—22no—
559#11924005—41no—
560#11924005—41no—
561#11924005—41no—
562#11924005—41no—
563#11924005—41no—
564#11924005—41no—
565#11924005—41no—
566#11924005—41no—
567#11924005—41no—
568#11924005C2×D414yes—
569#11924005#4114yes—
570C4×Dic73—22no—
571C4×Dic73—22no—
572C4×Dic73—22no—
573C4×Dic73—22no—
574C4×Dic73—22no—
575C4×Dic73—22no—
576C4×Dic73—22no—
577C4×Dic73—41no—
578C4×Dic73—41no—
579C4×Dic73—41no—
580C4×Dic73—41no—
581C4×Dic73C2×D414yescomplemented
582C24×C73C2411yescharacteristic
583C24×C73C2411yescharacteristic
584C24×C73C2411yescharacteristic
585C24×C73C2411yescharacteristic
586C2×Q8×C73—22no—
587C2×Q8×C73—41no—
588C2×Q8×C73—41no—
589C2×D4×C73—22no—
590C2×D4×C73—22no—
591C2×D4×C73—22no—
592C2×D4×C73—22no—
593C2×D4×C73—22no—
594C2×D4×C73—22no—
595C2×D4×C73—41no—
596C2×D4×C73—41no—
597C2×D4×C73—41no—
598C2×D4×C73—41no—
599C2×D4×C73—41no—
600C2×D4×C73—41no—
601C2×D4×C73—41no—
602C2×D4×C73—41no—
603C2×D4×C73—41no—
604C2×D4×C73—41no—
605C2×D4×C73—41no—
606C2×D4×C73—41no—
607C22×C4×C73—22no—
608C22×C4×C73—22no—
609C22×C4×C73—22no—
610C22×C4×C73—41no—
611C22×C4×C73—41no—
612C22×C4×C73—41no—
613C22×C4×C73C2411yescharacteristic
614C22×C4×C73C2411yescharacteristic
615C22×C4×C73C2411yescharacteristic
616C22×C4×C73C2411yescharacteristic
617C22×C4×C73C2411yescharacteristic
618C22×C4×C73C2411yescharacteristic
619C22×C4×C73C2411yescharacteristic
620C22×C4×C73C2411yescharacteristic
621C22×C4×C73C2411yescharacteristic
622C22×C4×C73C2411yescharacteristic
623C22×C4×C73C2411yescharacteristic
624C4⋊C4×C73—22no—
625C4⋊C4×C73—41no—
626C4⋊C4×C73—41no—
627C22⋊C4×C73—22no—
628C22⋊C4×C73—22no—
629C22⋊C4×C73—22no—
630C22⋊C4×C73—22no—
631C22⋊C4×C73—22no—
632C22⋊C4×C73—22no—
633C22⋊C4×C73—22no—
634C22⋊C4×C73—22no—
635C22⋊C4×C73—22no—
636C22⋊C4×C73—22no—
637C22⋊C4×C73—41no—
638C22⋊C4×C73—41no—
639C22⋊C4×C73—41no—
640C22⋊C4×C73C2×D414yescomplemented
641C42×C73—22no—
642C42×C73—22no—
643C42×C73—41no—
644C23×C73—21no—
645C23×C73—21no—
646C23×C73—21no—
647C23×C73—21no—
648C23×C73—21no—
649C23×C73—21no—
650C23×C73—21no—
651C23×C73—21no—
652C23×C73—21no—
653C23×C73—21no—
654C23×C73—21no—
655C23×C73—21no—
656C23×C73—21no—
657C23×C73—21no—
658C23×C73—21no—
659C23×C73—21no—
660C23×C73—21no—
661C23×C73—21no—
662C23×C73—21no—
663C23×C73—21no—
664C23×C73—21no—
665C23×C73—21no—
666C23×C73—21no—
667C23×C73—21no—
668C23×C73—21no—
669C23×C73—21no—
670C23×C73—21no—
671C23×C73C22×D412yes—
672C23×C73C2511yescharacteristic
673C22×D73—21no—
674C22×D73—21no—
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—21no—
678C22×D73—21no—
679C22×D73—21no—
680C22×D73—21no—
681C22×D73—21no—
682C22×D73—21no—
683C22×D73—21no—
684C22×D73—21no—
685C22×D73—21no—
686C22×D73—21no—
687C22×D73—21no—
688C22×D73—21no—
689C22×D73—21no—
690C22×D73—21no—
691C22×D73—21no—
692C22×D73—21no—
693C22×D73—21no—
694C22×D73—21no—
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—44no—
699C22×D73—44no—
700C22×D73—44no—
701C22×D73—44no—
702C22×D73—44no—
703C22×D73—44no—
704C22×D73—82no—
705C22×D73—82no—
706C22×D73—82no—
707C22×D73—82no—
708C22×D73—82no—
709C22×D73—82no—
710C22×D73—82no—
711C22×D73—82no—
712C22×D73C22×D412yes—
713C22×D73C2×#4112yes—
714C22×D73C2×#4112yes—
715Q8×C73—82no—
716D4×C73—44no—
717D4×C73—82no—
718D4×C73—82no—
719D4×C73—82no—
720D4×C73—82no—
721D4×C73—82no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—44no—
751C2×C4×C73—82no—
752C2×C4×C73C22×D412yes—
753C2×C4×C73C22×D412yes—
754C2×C4×C73C2×#4112yes—
755C2×C4×C73C2×#4112yes—
756C2×C4×C73H(5,𝔽2)12yes—
757C22⋊D73—28no—
758C22⋊D73—44no—
759C22⋊D73—44no—
760C22⋊D73—44no—
761C22⋊D73—44no—
762C22⋊D73—82no—
763C22⋊D73—82no—
764C22⋊D73—82no—
765C22⋊D73—82no—
766C22⋊D73—82no—
767C22⋊D73—82no—
768C22⋊D73—82no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—21no—
785C2×Dic73—21no—
786C2×Dic73—21no—
787C2×Dic73—21no—
788C2×Dic73—21no—
789C2×Dic73—21no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—21no—
794C2×Dic73—21no—
795C2×Dic73—21no—
796C2×Dic73—21no—
797C2×Dic73—21no—
798C2×Dic73—44no—
799C2×Dic73—44no—
800C2×Dic73C22×D412yes—
801C2×Dic73C22×D412yes—
802C2×Dic73C22×D412yes—
803C2×Dic73C2×#4112yes—
804C2×Dic73C2×#4112yes—
805C2×Dic73H(5,𝔽2)12yes—
806C2×Dic73H(5,𝔽2)12yes—
807D292—44no—
808D292—44no—
809D292—82no—
810D292—82no—
811C4×D73—28no—
812C4×D73—44no—
813C4×D73—44no—
814C4×D73—82no—
815C4×D73—82no—
816C4×D73—82no—
817Dic146—82no—
818C22×C73—22no—
819C22×C73—22no—
820C22×C73—22no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73C23×D411yescharacteristic
847C22×C73C22×#4111yescharacteristic
848C22×C73C22×#4111yescharacteristic
849C22×C73C2×H(5,𝔽2)11yescharacteristic
850C22×C73C2×H(5,𝔽2)11yescharacteristic
851C22×C73C2×H(5,𝔽2)11yescharacteristic
852C22×C73#58511yescharacteristic
853C2×D73—22no—
854C2×D73—22no—
855C2×D73—22no—
856C2×D73—22no—
857C2×D73—22no—
858C2×D73—22no—
859C2×D73—41no—
860C2×D73—41no—
861C2×D73—41no—
862C2×D73—41no—
863C2×D73—41no—
864C2×D73—41no—
865C2×D73—41no—
866C2×D73—41no—
867C2×D73—41no—
868C2×D73—41no—
869C2×D73—41no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—88no—
881C2×D73—88no—
882C2×D73#53214yes—
883C4×C73—22no—
884C4×C73—22no—
885C4×C73—22no—
886C4×C73—22no—
887C4×C73—22no—
888C4×C73—41no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73—41no—
892C4×C73—41no—
893C4×C73—41no—
894Dic73—22no—
895Dic73—22no—
896Dic73—22no—
897Dic73—22no—
898Dic73—41no—
899Dic73—41no—
900Dic73—41no—
901Dic73—41no—
902Dic73—41no—
903Dic73—41no—
904Dic73—41no—
905Dic73#53814yescomplemented
906#35007—731nomaximal, Sylow
907C2×C73—42no—
908C2×C73—81no—
909C2×C73—81no—
910C2×C73—81no—
911C2×C73C2×#53211yescharacteristic
912C2×C73C2×#53811yescharacteristic
913C2×C73#346011yescharacteristic
914C2×C73#349611yescharacteristic
915C2×C73#349811yescharacteristic
916C2×C73#351411yescharacteristic
917C2×C73#351911yescharacteristic
918D73—24no—
919D73—81no—
920D73—81no—
921D73—81no—
922C2×#538—731no—
923C2×#538—731no—
924#2860—731no—
925#2858—731no—
926#2856—731no—
927#2854—731no—
928#2662—731no—
929#2662—731no—
930#2661—731no—
931#2661—731no—
932#2555—731no—
933#2555D7311yescharacteristic, complemented
934#2554—731no—
935#2554—731no—
936#2512—731no—
937#2491—731no—
938#2472—731no—
939#2472—731no—
940#2445—731no—
941#2440—731no—
942#2433—731no—
943#2428—731no—
944#2424—731no—
945#2424—731no—
946#2416—731no—
947#2408—731no—
948#2321—731no—
949#2321—731no—
950C4×#121—731no—
951C2×#390—731no—
952C42×D4—731no—
953C73#3500711yescharacteristic, complemented, Sylow
954C23×D4—731no—
955#538—1468no—
956#538—1468no—
957C2×C4⋊Q8—731no—
958C2×#127—731no—
959C2×#127—731no—
960C2×#126—731no—
961C2×#126—731no—
962C2×#126—731no—
963C2×#126—731no—
964C2×#124—731no—
965C2×#124—731no—
966C2×#124—731no—
967C2×#124—731no—
968C2×#124C2×D7311yescharacteristic, complemented
969C2×#124C2×D7311yescharacteristic, complemented
970C2×#123—731no—
971C2×#123—731no—
972C2×#123—731no—
973C2×#123—731no—
974C2×C22⋊Q8—731no—
975C2×C22⋊Q8—731no—
976C2×#121—731no—
977C2×#121—731no—
978C2×#121—731no—
979C2×#121—731no—
980C2×#121—731no—
981C2×#121—731no—
982C2×#121—731no—
983C2×#121—731no—
984C2×#121—731no—
985C2×#121—731no—
986C2×#121C2×D7311yescharacteristic, complemented
987C2×#121C2×D7311yescharacteristic, complemented
988C2×#120—731no—
989C2×#120—731no—
990C2×#120—731no—
991C2×#120—731no—
992C2×#120—731no—
993C2×#120—731no—
994C2×C4×D4—731no—
995C2×C4×D4—731no—
996C2×C4×D4—731no—
997C2×C4×D4—731no—
998C2×C4×D4—731no—
999C2×C4×D4—731no—
1000C22×C4⋊C4—731no—
1001C22×C22⋊C4—731no—
1002C22×C22⋊C4—731no—
1003C22×C22⋊C4—731no—
1004C22×C22⋊C4—731no—
1005C22×C42—731no—
1006C22×C42—731no—
1007#398—731no—
1008#398—731no—
1009#397—731no—
1010#397—731no—
1011#396—731no—
1012#396—731no—
1013#396—731no—
1014#396—731no—
1015#395—731no—
1016#395C2×D7311yescharacteristic, complemented
1017#394—731no—
1018#394—731no—
1019#394—731no—
1020#394—731no—
1021#394—731no—
1022#394—731no—
1023#394—731no—
1024#394—731no—
1025#394—731no—
1026#394—731no—
1027#394—731no—
1028#394C2×D7311yescharacteristic, complemented
1029#393—731no—
1030#393—731no—
1031#392—731no—
1032#392—731no—
1033#392—731no—
1034#392—731no—
1035#392—731no—
1036#392—731no—
1037#392C2×D7311yescharacteristic
1038#392C2×D7311yescharacteristic
1039#390—731no—
1040#390—731no—
1041#390—731no—
1042#390—731no—
1043#390—731no—
1044#390—731no—
1045#390—731no—
1046#390—731no—
1047#390—731no—
1048#390—731no—
1049#390—731no—
1050#390—731no—
1051#390—731no—
1052#390—731no—
1053#390—731no—
1054#390—731no—
1055#390—731no—
1056#390—731no—
1057#390—731no—
1058#390—731no—
1059#390—731no—
1060#390C2×D7311yescharacteristic
1061#389—731no—
1062#389—731no—
1063#389—731no—
1064#389—731no—
1065#388—731no—
1066#388—731no—
1067#388—731no—
1068#388—731no—
1069#388—731no—
1070#388—731no—
1071#388—731no—
1072#388—731no—
1073#388—731no—
1074#388—731no—
1075#388—731no—
1076#388—731no—
1077#388—731no—
1078#388—731no—
1079#388C2×D7311yescharacteristic, complemented
1080#388C2×D7311yescharacteristic, complemented
1081#386—731no—
1082#386—731no—
1083#386—731no—
1084#386—731no—
1085#386—731no—
1086#386—731no—
1087#386—731no—
1088#386—731no—
1089#386C2×D7311yescharacteristic, complemented
1090#386C2×D7311yescharacteristic, complemented
1091#385—731no—
1092#385—731no—
1093#384—731no—
1094#380—731no—
1095#380—731no—
1096#379—731no—
1097#379—731no—
1098C4×C4⋊C4—731no—
1099C4×C4⋊C4—731no—
1100C4×C4⋊C4—731no—
1101C4×C4⋊C4—731no—
1102C4×C22⋊C4—731no—
1103C4×C22⋊C4—731no—
1104C4×C22⋊C4—731no—
1105C4×C22⋊C4—731no—
1106C4×C22⋊C4—731no—
1107C4×C22⋊C4—731no—
1108C4×C22⋊C4C2×D7311yescharacteristic, complemented
1109C4×C22⋊C4C2×D7311yescharacteristic, complemented
1110C43—731no—
1111C25—731no—
1112C25—731no—
1113C22×Q8—731no—
1114C22×Q8C22×D7311yescharacteristic
1115C22×D4—2922no—
1116C22×D4—2922no—
1117C22×D4—731no—
1118C22×D4—731no—
1119C22×D4—731no—
1120C22×D4—731no—
1121C22×D4—731no—
1122C22×D4—731no—
1123C22×D4—731no—
1124C22×D4—731no—
1125C22×D4—731no—
1126C22×D4—731no—
1127C22×D4—731no—
1128C22×D4—731no—
1129C22×D4—731no—
1130C22×D4—731no—
1131C22×D4—731no—
1132C22×D4—731no—
1133C22×D4—1464no—
1134C22×D4C22×D7311yescharacteristic
1135C22×D4C22×D7311yescharacteristic
1136C22×D4C22×D7311yescharacteristic
1137C22×D4C22×D7311yescharacteristic
1138C22×D4C22×D7311yescharacteristic
1139C22×D4C22×D7311yescharacteristic
1140C23×C4—731no—
1141C23×C4—731no—
1142C23×C4—731no—
1143C23×C4—731no—
1144C23×C4—731no—
1145C23×C4—731no—
1146C23×C4—731no—
1147C23×C4—731no—
1148C23×C4C22×D7311yescharacteristic
1149C23×C4C22×D7311yescharacteristic
1150C4⋊Q8—2922no—
1151#127—2922no—
1152#127—2922no—
1153#126—1464no—
1154#126—1464no—
1155#126—1464no—
1156#126—1464no—
1157#124—24no—
1158#124—42no—
1159#124—2922no—
1160#124—1464no—
1161#124—1464no—
1162#124—1464no—
1163#123—1464no—
1164#123—1464no—
1165#123—1464no—
1166#123—1464no—
1167C22⋊Q8—1464no—
1168C22⋊Q8—1464no—
1169#121—24no—
1170#121—42no—
1171#121—2922no—
1172#121—2922no—
1173#121—2922no—
1174#121—2922no—
1175#121—1464no—
1176#121—1464no—
1177#121—1464no—
1178#121—1464no—
1179#121—1464no—
1180#121—1464no—
1181#120—1464no—
1182#120—1464no—
1183#120—1464no—
1184#120—1464no—
1185#120—1464no—
1186#120—1464no—
1187C4×D4—2922no—
1188C4×D4—738no—
1189C4×D4—1464no—
1190C4×D4—1464no—
1191C4×D4—1464no—
1192C4×D4—1464no—
1193C2×C4⋊C4—2922no—
1194C2×C4⋊C4—731no—
1195C2×C4⋊C4—731no—
1196C2×C4⋊C4—731no—
1197C2×C4⋊C4—731no—
1198C2×C4⋊C4—731no—
1199C2×C4⋊C4—731no—
1200C2×C4⋊C4—731no—
1201C2×C4⋊C4—731no—
1202C2×C4⋊C4—731no—
1203C2×C4⋊C4—731no—
1204C2×C4⋊C4—731no—
1205C2×C4⋊C4—731no—
1206C2×C4⋊C4—731no—
1207C2×C4⋊C4—731no—
1208C2×C4⋊C4—731no—
1209C2×C4⋊C4—731no—
1210C2×C4⋊C4—731no—
1211C2×C4⋊C4—731no—
1212C2×C4⋊C4—731no—
1213C2×C4⋊C4—731no—
1214C2×C4⋊C4—731no—
1215C2×C4⋊C4C22×D7311yescharacteristic
1216C2×C4⋊C4C22×D7311yescharacteristic
1217C2×C4⋊C4C22×D7311yescharacteristic
1218C2×C22⋊C4—2922no—
1219C2×C22⋊C4—2922no—
1220C2×C22⋊C4—731no—
1221C2×C22⋊C4—731no—
1222C2×C22⋊C4—731no—
1223C2×C22⋊C4—731no—
1224C2×C22⋊C4—731no—
1225C2×C22⋊C4—731no—
1226C2×C22⋊C4—731no—
1227C2×C22⋊C4—731no—
1228C2×C22⋊C4—731no—
1229C2×C22⋊C4—731no—
1230C2×C22⋊C4—731no—
1231C2×C22⋊C4—731no—
1232C2×C22⋊C4—731no—
1233C2×C22⋊C4—731no—
1234C2×C22⋊C4—731no—
1235C2×C22⋊C4—731no—
1236C2×C22⋊C4—731no—
1237C2×C22⋊C4—731no—
1238C2×C22⋊C4—731no—
1239C2×C22⋊C4—731no—
1240C2×C22⋊C4—731no—
1241C2×C22⋊C4—731no—
1242C2×C22⋊C4—731no—
1243C2×C22⋊C4—731no—
1244C2×C22⋊C4—731no—
1245C2×C22⋊C4—731no—
1246C2×C22⋊C4—731no—
1247C2×C22⋊C4—731no—
1248C2×C22⋊C4—731no—
1249C2×C22⋊C4—731no—
1250C2×C22⋊C4—731no—
1251C2×C22⋊C4—731no—
1252C2×C22⋊C4—731no—
1253C2×C22⋊C4—731no—
1254C2×C22⋊C4—731no—
1255C2×C22⋊C4—731no—
1256C2×C22⋊C4—731no—
1257C2×C22⋊C4—731no—
1258C2×C22⋊C4—731no—
1259C2×C22⋊C4—731no—
1260C2×C22⋊C4—731no—
1261C2×C22⋊C4—731no—
1262C2×C22⋊C4—731no—
1263C2×C22⋊C4—731no—
1264C2×C22⋊C4—731no—
1265C2×C22⋊C4—731no—
1266C2×C22⋊C4—1464no—
1267C2×C22⋊C4—1464no—
1268C2×C22⋊C4C22×D7311yescharacteristic
1269C2×C22⋊C4C22×D7311yescharacteristic
1270C2×C22⋊C4C22×D7311yescharacteristic
1271C2×C22⋊C4C22×D7311yescharacteristic
1272C2×C22⋊C4C22×D7311yescharacteristic
1273C2×C22⋊C4C22×D7311yescharacteristic
1274C2×C22⋊C4C22×D7311yescharacteristic
1275C2×C22⋊C4C22×D7311yescharacteristic
1276C2×C22⋊C4C22×D7311yescharacteristic
1277C2×C22⋊C4C22×D7311yescharacteristic
1278C2×C22⋊C4C22×D7311yescharacteristic
1279C2×C22⋊C4C22×D7311yescharacteristic
1280C2×C22⋊C4C22×D7311yescharacteristic
1281C2×C22⋊C4C22×D7311yescharacteristic
1282C2×C42—2922no—
1283C2×C42—2922no—
1284C2×C42—731no—
1285C2×C42—731no—
1286C2×C42—731no—
1287C2×C42—731no—
1288C2×C42—731no—
1289C2×C42—731no—
1290C2×C42—731no—
1291C2×C42—731no—
1292C2×C42—731no—
1293C2×C42—731no—
1294C2×C42—731no—
1295C2×C42—731no—
1296C2×C42C22×D7311yescharacteristic
1297C2×C42C22×D7311yescharacteristic
1298C2×C42C22×D7311yescharacteristic
1299#95—731no—
1300#95—731no—
1301#95—731no—
1302#95—731no—
1303#95—731no—
1304#95—731no—
1305#95—731no—
1306#95—731no—
1307#95—731no—
1308#95—731no—
1309#95—731no—
1310#95—731no—
1311#95—731no—
1312#95—731no—
1313#95C22×D7311yescharacteristic
1314#95C22×D7311yescharacteristic
1315#95C22×D7311yescharacteristic
1316#95C22×D7311yescharacteristic
1317#95C22×D7311yescharacteristic
1318#95C22×D7311yescharacteristic
1319C24—2921no—
1320C24—2921no—
1321C24—2921no—
1322C24—2921no—
1323C24—2921no—
1324C24—2921no—
1325C24—2921no—
1326C24—2921no—
1327C24—731no—
1328C24—731no—
1329C24—731no—
1330C24—731no—
1331C24—1462no—
1332C24—1462no—
1333C24—1462no—
1334C24—1462no—
1335C24—1462no—
1336C24—1462no—
1337C24C23×D7311yescharacteristic
1338C24C23×D7311yescharacteristic
1339C24C23×D7311yescharacteristic
1340C24C23×D7311yescharacteristic
1341C2×Q8—22no—
1342C2×Q8—41no—
1343C2×Q8—41no—
1344C2×Q8—2921no—
1345C2×Q8—2921no—
1346C2×Q8—1462no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—2921no—
1366C2×D4—2921no—
1367C2×D4—2921no—
1368C2×D4—2921no—
1369C2×D4—2921no—
1370C2×D4—2921no—
1371C2×D4—29216no—
1372C2×D4—2921no—
1373C2×D4—2921no—
1374C2×D4—2921no—
1375C2×D4—2921no—
1376C2×D4—2921no—
1377C2×D4—2921no—
1378C2×D4—2921no—
1379C2×D4—2921no—
1380C2×D4—2921no—
1381C2×D4—2921no—
1382C2×D4—2921no—
1383C2×D4—2921no—
1384C2×D4—2921no—
1385C2×D4—2921no—
1386C2×D4—734no—
1387C2×D4—1462no—
1388C2×D4—1462no—
1389C2×D4—1462no—
1390C2×D4—1462no—
1391C2×D4—1462no—
1392C2×D4—1462no—
1393C2×D4—1462no—
1394C2×D4—1462no—
1395C2×D4—1462no—
1396C2×D4—1462no—
1397C2×D4—1462no—
1398C2×D4—1462no—
1399C2×D4—1462no—
1400C2×D4—1462no—
1401C2×D4—1462no—
1402C2×D4—1462no—
1403C2×D4—1462no—
1404C2×D4—1462no—
1405C2×D4—1462no—
1406C2×D4—1462no—
1407C2×D4—1462no—
1408C2×D4—1462no—
1409C2×D4—1462no—
1410C2×D4—1462no—
1411C2×D4—1462no—
1412C2×D4—1462no—
1413C2×D4—1462no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—2921no—
1421C22×C4—2921no—
1422C22×C4—2921no—
1423C22×C4—2921no—
1424C22×C4—2921no—
1425C22×C4—2921no—
1426C22×C4—2921no—
1427C22×C4—2921no—
1428C22×C4—2921no—
1429C22×C4—2921no—
1430C22×C4—2921no—
1431C22×C4—734no—
1432C22×C4—734no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—731no—
1438C22×C4—734no—
1439C22×C4—731no—
1440C22×C4—731no—
1441C22×C4—731no—
1442C22×C4—731no—
1443C22×C4—731no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—1462no—
1447C22×C4—1462no—
1448C22×C4—1462no—
1449C22×C4—1462no—
1450C22×C4—1462no—
1451C22×C4—1462no—
1452C22×C4—1462no—
1453C22×C4—1462no—
1454C22×C4—1462no—
1455C22×C4—1462no—
1456C22×C4C23×D7311yescharacteristic
1457C22×C4C23×D7311yescharacteristic
1458C22×C4C23×D7311yescharacteristic
1459C22×C4C23×D7311yescharacteristic
1460C22×C4C23×D7311yescharacteristic
1461C22×C4C23×D7311yescharacteristic
1462C22×C4C23×D7311yescharacteristic
1463C22×C4C23×D7311yescharacteristic
1464C22×C4C23×D7311yescharacteristic
1465C22×C4C23×D7311yescharacteristic
1466C22×C4C23×D7311yescharacteristic
1467C4⋊C4—22no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—2921no—
1471C4⋊C4—2921no—
1472C4⋊C4—2921no—
1473C4⋊C4—2921no—
1474C4⋊C4—734no—
1475C4⋊C4—1462no—
1476C4⋊C4—1462no—
1477C4⋊C4—1462no—
1478C4⋊C4—1462no—
1479C4⋊C4—1462no—
1480C4⋊C4—1462no—
1481C4⋊C4—1462no—
1482C4⋊C4—1462no—
1483C4⋊C4—1462no—
1484C4⋊C4—1462no—
1485C4⋊C4—1462no—
1486C4⋊C4—1462no—
1487C4⋊C4—1462no—
1488C4⋊C4—1462no—
1489C4⋊C4—1462no—
1490C4⋊C4—1462no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—2921no—
1505C22⋊C4—2921no—
1506C22⋊C4—2921no—
1507C22⋊C4—2921no—
1508C22⋊C4—2921no—
1509C22⋊C4—2921no—
1510C22⋊C4—2921no—
1511C22⋊C4—2921no—
1512C22⋊C4—2921no—
1513C22⋊C4—2921no—
1514C22⋊C4—2921no—
1515C22⋊C4—2921no—
1516C22⋊C4—2921no—
1517C22⋊C4—2921no—
1518C22⋊C4—2921no—
1519C22⋊C4—734no—
1520C22⋊C4—734no—
1521C22⋊C4—1462no—
1522C22⋊C4—1462no—
1523C22⋊C4—1462no—
1524C22⋊C4—1462no—
1525C22⋊C4—1462no—
1526C22⋊C4—1462no—
1527C22⋊C4—1462no—
1528C22⋊C4—1462no—
1529C22⋊C4—1462no—
1530C22⋊C4—1462no—
1531C22⋊C4—1462no—
1532C22⋊C4—1462no—
1533C22⋊C4—1462no—
1534C22⋊C4—1462no—
1535C22⋊C4—1462no—
1536C22⋊C4—1462no—
1537C22⋊C4—1462no—
1538C22⋊C4—1462no—
1539C22⋊C4—1462no—
1540C22⋊C4—1462no—
1541C22⋊C4—1462no—
1542C22⋊C4—1462no—
1543C22⋊C4—1462no—
1544C22⋊C4—1462no—
1545C22⋊C4—1462no—
1546C22⋊C4—1462no—
1547C22⋊C4—1462no—
1548C22⋊C4—1462no—
1549C22⋊C4—1462no—
1550C22⋊C4D4×D7314yescomplemented
1551C42—22no—
1552C42—22no—
1553C42—41no—
1554C42—2921no—
1555C42—2921no—
1556C42—2921no—
1557C42—2921no—
1558C42—734no—
1559C42—1462no—
1560C42—1462no—
1561C42—1462no—
1562C42—1462no—
1563C42—1462no—
1564C42—1462no—
1565C42—1462no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—2924no—
1594C23—2924no—
1595C23—2924no—
1596C23—2924no—
1597C23—2924no—
1598C23—2924no—
1599C23—5842no—
1600C23—5842no—
1601C23—5842no—
1602C23—5842no—
1603C23—5842no—
1604C23—5842no—
1605C23—5842no—
1606C23—5842no—
1607C23—732no—
1608C23—732no—
1609C23—732no—
1610C23—1461no—
1611C23—1461no—
1612C23—1461no—
1613C23—1461no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23—1461no—
1618C23—1461no—
1619C23—1461no—
1620C23—1461no—
1621C23—1461no—
1622C23—1461no—
1623C23—1461no—
1624C23—1461no—
1625C23—1461no—
1626C23—1461no—
1627C23—1461no—
1628C23—1461no—
1629C23—1461no—
1630C23—1461no—
1631C23—1461no—
1632C23—1461no—
1633C23—1461no—
1634C23—1461no—
1635C23C2×D4×D7312yes—
1636C23C24×D7311yescharacteristic
1637Q8—82no—
1638Q8—5842no—
1639D4—44no—
1640D4—82no—
1641D4—82no—
1642D4—82no—
1643D4—82no—
1644D4—82no—
1645D4—2924no—
1646D4—2924no—
1647D4—2924no—
1648D4—2924no—
1649D4—2924no—
1650D4—2924no—
1651D4—5842no—
1652D4—5842no—
1653D4—5842no—
1654D4—5842no—
1655D4—5842no—
1656D4—5842no—
1657D4—5842no—
1658D4—5842no—
1659D4—5842no—
1660D4—1468no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—44no—
1690C2×C4—82no—
1691C2×C4—2924no—
1692C2×C4—2924no—
1693C2×C4—2924no—
1694C2×C4—2924no—
1695C2×C4—5842no—
1696C2×C4—5842no—
1697C2×C4—5842no—
1698C2×C4—732no—
1699C2×C4—732no—
1700C2×C4—732no—
1701C2×C4—732no—
1702C2×C4—732no—
1703C2×C4—732no—
1704C2×C4—732no—
1705C2×C4—1468no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4—1461no—
1711C2×C4—1461no—
1712C2×C4—1461no—
1713C2×C4—1461no—
1714C2×C4—1461no—
1715C2×C4—1461no—
1716C2×C4—1461no—
1717C2×C4—1461no—
1718C2×C4—1461no—
1719C2×C4—1461no—
1720C2×C4—1461no—
1721C2×C4—1461no—
1722C2×C4—1461no—
1723C2×C4—1461no—
1724C2×C4—1461no—
1725C2×C4—1461no—
1726C2×C4—1461no—
1727C2×C4—1461no—
1728C2×C4—1461no—
1729C2×C4—1461no—
1730C2×C4—1461no—
1731C2×C4—1461no—
1732C2×C4—1461no—
1733C2×C4—1461no—
1734C2×C4—1461no—
1735C2×C4C2×D4×D7312yes—
1736C2×C4C2×D4×D7312yes—
1737C2×C4#41×D7312yes—
1738C2×C4#41×D7312yes—
1739C2×C4#1455663612yes—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—2921no—
1769C22—2921no—
1770C22—2921no—
1771C22—2921no—
1772C22—2921no—
1773C22—2921no—
1774C22—2921no—
1775C22—2921no—
1776C22—2921no—
1777C22—2921no—
1778C22—2921no—
1779C22—2921no—
1780C22—2921no—
1781C22—2921no—
1782C22—2921no—
1783C22—2921no—
1784C22—2921no—
1785C22—2921no—
1786C22—2921no—
1787C22—2921no—
1788C22—2921no—
1789C22—5848no—
1790C22—5848no—
1791C22—734no—
1792C22—1462no—
1793C22—1462no—
1794C22—1462no—
1795C22—1462no—
1796C22—1462no—
1797C22—1462no—
1798C22C22×D4×D7311yescharacteristic
1799C22C2×#41×D7311yescharacteristic
1800C22C2×#41×D7311yescharacteristic
1801C22H(5,𝔽2)×D7311yescharacteristic
1802C22H(5,𝔽2)×D7311yescharacteristic
1803C22C2×#1455663611yescharacteristic
1804C22#1798942311yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—2921no—
1817C4—2921no—
1818C4—2921no—
1819C4—2921no—
1820C4—2921no—
1821C4—2921no—
1822C4—2921no—
1823C4—734no—
1824C4—1462no—
1825C4—1462no—
1826C4—1462no—
1827C4—1462no—
1828C2—42no—
1829C2—81no—
1830C2—81no—
1831C2—81no—
1832C2—5841no—
1833C2—5841no—
1834C2—5841no—
1835C2—1464no—
1836C2#532×D7311yescharacteristic
1837C2#538×D7311yescharacteristic
1838C2#2262334511yescharacteristic
1839C2#2262369111yescharacteristic
1840C2#2262370311yescharacteristic
1841C2#2262388811yescharacteristic
1842C2#2262395211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2555C2
hypercenter#2555D73
hypocenterC73#35007
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2555

Complements

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

NH ≅ G/Ntype
1. C2×#17989171C2semidirect
2. C2×#17989169C2semidirect
3. #22618297C2semidirect
4. #22618286C2semidirect
5. #22618274C2semidirect
6. #22618259C2semidirect
7. #22616075C2semidirect
8. #22616073C2semidirect
9. #22616058C2semidirect
10. #22616056C2semidirect
11. #22615000C2semidirect
12. #22614993C2semidirect
13. #22614991C2semidirect
14. #22614514C2semidirect
15. #22614291C2semidirect
16. #22614061C2semidirect
17. #22614053C2semidirect
18. #22613693C2semidirect
19. #22613626C2semidirect
20. #22613563C2semidirect
21. #22613516C2semidirect
22. #22613466C2semidirect
23. #22613464C2semidirect
24. #22613364C2semidirect
25. #22613280C2semidirect
26. #22612593C2semidirect
27. #22612587C2semidirect
28. C4×#14556564C2semidirect
29. #390×D73C2semidirect
30. C4×#14556551C2semidirect
31. C73×#2555C2semidirect
35. C2×#14556589C22semidirect
38. C2×#14556586C22semidirect
39. C2×#14556585C22semidirect
40. C2×#14556584C22semidirect
41. C2×#14556584C22semidirect
42. C2×#14556580C22semidirect
43. C2×#14556579C22semidirect
44. C2×#14556578C22semidirect
45. C2×#14556577C22semidirect
46. C2×#14556575C22semidirect
47. C2×#14556574C22semidirect
48. C2×#14556573C22semidirect
49. C2×#14556572C22semidirect
52. C2×#14556565C22semidirect
55. C2×#14556564C22semidirect
58. C2×#14556563C22semidirect
59. C2×#14556563C22semidirect
60. C2×#14556563C22semidirect
71. C2×C4×C22⋊D73C22semidirect
79. C22×C4×Dic73C22semidirect
81. #17988521C22semidirect
82. #17988520C22semidirect
83. #17988516C22semidirect
84. #17988515C22semidirect
85. #17988510C22semidirect
86. #17988510C22semidirect
87. #17988509C22semidirect
88. #17988509C22semidirect
89. #17988508C22semidirect
91. #17988505C22semidirect
92. #17988504C22semidirect
93. #17988503C22semidirect
94. #17988503C22semidirect
95. #17988502C22semidirect
96. #17988502C22semidirect
98. #17988501C22semidirect
99. #17988501C22semidirect
100. #17988501C22semidirect
101. #17988499C22semidirect
102. #17988498C22semidirect
107. #17988495C22semidirect
108. #17988495C22semidirect
110. #17988490C22semidirect
113. #17988488C22semidirect
122. #17988487C22semidirect
123. #17988487C22semidirect
124. #17988487C22semidirect
125. #17988487C22semidirect
126. #17988487C22semidirect
127. #17988487C22semidirect
128. #17988487C22semidirect
129. #17988487C22semidirect
130. #17988484C22semidirect
131. #17988484C22semidirect
132. #17988484C22semidirect
133. #17988482C22semidirect
134. #17988480C22semidirect
135. #17988480C22semidirect
136. #17988480C22semidirect
137. #17988480C22semidirect
138. #17988479C22semidirect
139. #17988479C22semidirect
140. #17988478C22semidirect
141. #17988478C22semidirect
142. #17988476C22semidirect
143. #17988476C22semidirect
144. #17988476C22semidirect
145. #17988476C22semidirect
146. #17988475C22semidirect
147. #17988475C22semidirect
148. #17988466C22semidirect
149. #17988466C22semidirect
152. #17988465C22semidirect
155. #17988463C22semidirect
158. #17988456C22semidirect
160. #17988445C22semidirect
163. C4×#11924007C22semidirect
164. C4×#11924007C22semidirect
165. #17988438C22semidirect
166. #17988438C22semidirect
167. C22⋊C4×Dic73C22semidirect
168. C22⋊C4×Dic73C22semidirect
170. C4×#11924005C22semidirect
173. C42×Dic73C22semidirect
174. C2×#124×C73C22semidirect
175. C2×#124×C73C22semidirect
176. C2×#121×C73C22semidirect
177. C2×#121×C73C22semidirect
178. #395×C73C22semidirect
179. #394×C73C22semidirect
183. #388×C73C22semidirect
184. #388×C73C22semidirect
185. #386×C73C22semidirect
186. #386×C73C22semidirect
187. C4×C22⋊C4×C73C22semidirect
188. C4×C22⋊C4×C73C22semidirect
257. #14556551D4semidirect
472. C22×Dic73C2×D4semidirect
523. #11924007C2×D4semidirect
581. C4×Dic73C2×D4semidirect
640. C22⋊C4×C73C2×D4semidirect
905. Dic73#538semidirect
933. #2555D73semidirect
953. C73#35007semidirect
968. C2×#124C2×D73semidirect
969. C2×#124C2×D73semidirect
986. C2×#121C2×D73semidirect
987. C2×#121C2×D73semidirect
1016. #395C2×D73semidirect
1028. #394C2×D73semidirect
1079. #388C2×D73semidirect
1080. #388C2×D73semidirect
1089. #386C2×D73semidirect
1090. #386C2×D73semidirect
1108. C4×C22⋊C4C2×D73semidirect
1109. C4×C22⋊C4C2×D73semidirect
1550. C22⋊C4D4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891712
C2×#179891692
#226182972
#226182862
#226182742
#226182592
#226160752
#226160732
#226160582
#226160562
#226150002
#226149932
#226149912
#226145142
#226142912
#226140612
#226140532
#226136932
#226136262
#226135632
#226135162
#226134662
#226134642
#226133642
#226132802
#226125932
#226125872
C4×#145565642
#390×D732
C4×#145565512
C73×#25552
#3500773