Finite Group Databasebeta

← #33979678

Subgroups — #33979678

Order 18688.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624297C211yesmaximal, characteristic, complemented
2#22623999C211yesmaximal, characteristic, complemented
3#22623005C211yesmaximal, characteristic, complemented
4#22622946C211yesmaximal, characteristic, complemented
5#22622751C211yesmaximal, characteristic, complemented
6#22622633C211yesmaximal, characteristic, complemented
7#22622034C211yesmaximal, characteristic, complemented
8#22621963C211yesmaximal, characteristic, complemented
9#22621959C211yesmaximal, characteristic, complemented
10#22621933C211yesmaximal, characteristic, complemented
11#22621866C211yesmaximal, characteristic, complemented
12#22621782C211yesmaximal, characteristic, complemented
13#22621655C211yesmaximal, characteristic, complemented
14#22621610C211yesmaximal, characteristic, complemented
15#22621471C211yesmaximal, characteristic, complemented
16#22621462C211yesmaximal, characteristic, complemented
17#22621456C211yesmaximal, characteristic, complemented
18#22621406C211yesmaximal, characteristic, complemented
19#22621399C211yesmaximal, characteristic, complemented
20#22621362C211yesmaximal, characteristic, complemented
21#22621258C211yesmaximal, characteristic, complemented
22#22621032C211yesmaximal, characteristic, complemented
23#22621000C211yesmaximal, characteristic, complemented
24#22620968C211yesmaximal, characteristic, complemented
25#22620190C211yesmaximal, characteristic, complemented
26#22620114C211yesmaximal, characteristic, complemented
27#22620082C211yesmaximal, characteristic, complemented
28#22619471C211yesmaximal, characteristic, complemented
29#22619432C211yesmaximal, characteristic, complemented
30#22619067C211yesmaximal, characteristic, complemented
31C73×#3035C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic, complemented
33C2×#14556615C2211yescharacteristic
34C2×#14556612C2211yescharacteristic, complemented
35C2×D8×D73C2211yescharacteristic
36#17989325—21no—
37#17989325—21no—
38#17989311C2211yescharacteristic, complemented
39#17989309C2211yescharacteristic, complemented
40#17989305C2211yescharacteristic, complemented
41#17989296C2211yescharacteristic, complemented
42#17989287—21no—
43#17989286—21no—
44#17989281C2211yescharacteristic, complemented
45#17989278C2211yescharacteristic
46#17989270—21no—
47#17989266—21no—
48#17989261—21no—
49#17989257C2211yescharacteristic, complemented
50#17989256C2211yescharacteristic
51#17989256C2211yescharacteristic, complemented
52#17989240C2211yescharacteristic
53#17989236C2211yescharacteristic, complemented
54#17989232—21no—
55#17989232C2211yescharacteristic
56#17989225C2211yescharacteristic
57#17989225C2211yescharacteristic, complemented
58#17989225C2211yescharacteristic, complemented
59#17989222C2211yescharacteristic
60#17989209C2211yescharacteristic, complemented
61#17989206C2211yescharacteristic
62#17989206C2211yescharacteristic, complemented
63#17989195C2211yescharacteristic, complemented
64#17989179—21no—
65#17989170—21no—
66#17989170—21no—
67#17989170—21no—
68#17989166—21no—
69#17989155C2211yescharacteristic
70#17989155C2211yescharacteristic, complemented
71#17989153—21no—
72#17989137C2211yescharacteristic, complemented
73#17989121—21no—
74#17989121C2211yescharacteristic
75#17989121C2211yescharacteristic, complemented
76C2×#14556585—21no—
77#17989066C2211yescharacteristic, complemented
78#17989059C2211yescharacteristic, complemented
79#17988980C2211yescharacteristic, complemented
80#17988979C2211yescharacteristic, complemented
81#17988974C2211yescharacteristic
82#17988973C2211yescharacteristic, complemented
83#17988972C2211yescharacteristic
84#17988958C2211yescharacteristic, complemented
85#17988955C2211yescharacteristic, complemented
86#17988951C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988948C2211yescharacteristic, complemented
89#17988943C2211yescharacteristic, complemented
90#17988932C2211yescharacteristic, complemented
91#17988926C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic
96#17988899C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988888C2211yescharacteristic, complemented
99#17988888C2211yescharacteristic, complemented
100#17988885C2211yescharacteristic, complemented
101#17988883C2211yescharacteristic, complemented
102#17988878C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988872C2211yescharacteristic, complemented
105#17988870C2211yescharacteristic, complemented
106#17988867C2211yescharacteristic, complemented
107#17988844C2211yescharacteristic, complemented
108#17988842C2211yescharacteristic, complemented
109#17988839C2211yescharacteristic
110#17988830C2211yescharacteristic
111#17988825C2211yescharacteristic, complemented
112#17988823C2211yescharacteristic
113#17988823C2211yescharacteristic, complemented
114#17988819C2211yescharacteristic, complemented
115#17988816C2211yescharacteristic, complemented
116#17988816C2211yescharacteristic, complemented
117#17988815C2211yescharacteristic
118#17988813C2211yescharacteristic, complemented
119#17988812C2211yescharacteristic, complemented
120#17988811C2211yescharacteristic, complemented
121#17988806C2211yescharacteristic, complemented
122#17988806C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic
124#17988804C2211yescharacteristic
125#17988804C2211yescharacteristic
126#17988804C2211yescharacteristic, complemented
127#17988803C2211yescharacteristic
128#17988803C2211yescharacteristic, complemented
129#17988799C2211yescharacteristic, complemented
130#17988799C2211yescharacteristic, complemented
131#17988795C2211yescharacteristic, complemented
132#17988790C2211yescharacteristic, complemented
133#17988788C2211yescharacteristic, complemented
134#17988787C2211yescharacteristic, complemented
135#17988786C2211yescharacteristic, complemented
136#17988783C2211yescharacteristic
137#17988782C2211yescharacteristic
138#17988781C2211yescharacteristic, complemented
139#17988780C2211yescharacteristic, complemented
140#17988780C2211yescharacteristic, complemented
141#17988752C2211yescharacteristic, complemented
142#17988749C2211yescharacteristic, complemented
143#17988749C2211yescharacteristic, complemented
144#17988748C2211yescharacteristic, complemented
145#17988748C2211yescharacteristic, complemented
146#17988746C2211yescharacteristic, complemented
147#17988739C2211yescharacteristic
148#17988736C2211yescharacteristic
149#17988736C2211yescharacteristic, complemented
150#17988736C2211yescharacteristic, complemented
151#17988735C2211yescharacteristic, complemented
152#17988732C2211yescharacteristic
153#17988732C2211yescharacteristic, complemented
154#17988732C2211yescharacteristic, complemented
155#17988732C2211yescharacteristic, complemented
156#17988729C2211yescharacteristic
157#17988722C2211yescharacteristic
158#17988719C2211yescharacteristic
159#17988716C2211yescharacteristic, complemented
160#17988716C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic
163#17988697C2211yescharacteristic, complemented
164#17988690C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167#17988685C2211yescharacteristic, complemented
168#17988684C2211yescharacteristic, complemented
169#17988679C2211yescharacteristic, complemented
170SD16×Dic73C2211yescharacteristic, complemented
171D8×Dic73C2211yescharacteristic, complemented
172#17988667C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175#17988657C2211yescharacteristic
176#17988657C2211yescharacteristic
177C8×C22⋊D73C2211yescharacteristic, complemented
178C8×C22⋊D73C2211yescharacteristic, complemented
179#17988647C2211yescharacteristic, complemented
180#17988647C2211yescharacteristic, complemented
181#17988644C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183#17988612C2211yescharacteristic, complemented
184#17988590C2211yescharacteristic
185#17988587C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188C2×#135×C73C2211yescharacteristic, complemented
189C2×#135×C73C2211yescharacteristic, complemented
190#532×C73C2211yescharacteristic, complemented
191C4×#41×C73C2211yescharacteristic, complemented
192#464×C73C2211yescharacteristic, complemented
193#464×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#462×C73C2211yescharacteristic, complemented
197#461×C73C2211yescharacteristic, complemented
198#460×C73C2211yescharacteristic, complemented
199#459×C73C2211yescharacteristic
200C2×C4⋊C8×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924027—21no—
207C2×#11924027C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212#14556618—42no—
213#14556615—42no—
214#14556612—42no—
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×D584C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231D8×D73—42no—
232C2×#11924011C2311yescharacteristic
233C2×#11924011C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236#14556591C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556589C2311yescharacteristic
239#14556588C2311yescharacteristic
240#14556587—21no—
241#14556587—21no—
242#14556587C2311yescharacteristic
243#14556587C2311yescharacteristic
244#14556586—21no—
245#14556586—21no—
246#14556586—21no—
247#14556586—21no—
248#14556585—21no—
249#14556585—21no—
250#14556585—21no—
251#14556585—21no—
252#14556585—21no—
253#14556585—21no—
254#14556585—21no—
255#14556585D411yescharacteristic
256#14556585D411yescharacteristic
257#14556584—21no—
258#14556584—21no—
259#14556584—21no—
260#14556583—21no—
261#14556583D411yescharacteristic
262#14556583C2311yescharacteristic
263#14556582C2311yescharacteristic
264#14556581—21no—
265#14556581—21no—
266#14556580C2311yescharacteristic
267#14556580C2311yescharacteristic
268#14556580C2311yescharacteristic
269#14556579—21no—
270#14556579—21no—
271#14556579D411yescharacteristic
272#14556579C2311yescharacteristic
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556575—21no—
281#14556575—21no—
282#14556575—21no—
283#14556574—21no—
284#14556574—21no—
285#14556574—21no—
286#14556574—21no—
287#14556574—21no—
288#14556574D411yescharacteristic
289#14556574D411yescharacteristic
290#14556573—21no—
291#14556572—21no—
292#14556571—21no—
293#14556571C2311yescharacteristic
294#14556570—21no—
295#14556570D411yescharacteristic
296#14556570C2311yescharacteristic
297#14556569—21no—
298#14556569—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556567C2311yescharacteristic
304#14556567C2311yescharacteristic
305#14556567C2311yescharacteristic
306#14556567C2311yescharacteristic
307#14556566—21no—
308#14556566C2311yescharacteristic
309#14556565—21no—
310#14556565—21no—
311#14556565—21no—
312#14556565—21no—
313#14556565D411yescharacteristic
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556562—21no—
329#14556562—21no—
330#14556562—21no—
331#14556562—21no—
332#14556562C2311yescharacteristic
333#14556562C2311yescharacteristic
334#14556561—21no—
335#14556561—21no—
336#14556561—21no—
337#14556561—21no—
338#14556561—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559—21no—
342#14556559—21no—
343#14556559—21no—
344Q8×Dic73C2311yescharacteristic
345Q8×Dic73C2311yescharacteristic
346C4×Dic146—21no—
347C4×Dic146C2311yescharacteristic
348C4×Dic146C2311yescharacteristic
349#14556556C2311yescharacteristic
350C4×D292—21no—
351C4×D292—21no—
352C4×D292C2311yescharacteristic
353C4×D292C2311yescharacteristic
354C4×D292C2311yescharacteristic
355C4×D292C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357D4×Dic73C2311yescharacteristic
358D4×Dic73C2311yescharacteristic
359D4×Dic73C2311yescharacteristic
360#14556553C2311yescharacteristic
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73C2311yescharacteristic
367C4×C22⋊D73C2311yescharacteristic
368#14556551—21no—
369#14556551—21no—
370#14556549—21no—
371#14556549C2311yescharacteristic
372#14556548—21no—
373#14556548—21no—
374#14556548—21no—
375#14556548C2311yescharacteristic
376#14556548C2311yescharacteristic
377#14556547—21no—
378C2×#11924007—21no—
379C2×#11924007—21no—
380C2×#11924007—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73C2311yescharacteristic
383C2×#11924005—21no—
384C2×#11924005—21no—
385C2×#11924005—21no—
386C2×#11924005—21no—
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389#14556525C2311yescharacteristic
390#14556525C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428C22⋊#10596831C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442#135×C73—42no—
443#135×C73—42no—
444C2×Q16×C73C2311yescharacteristic
445C2×Q16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C22×C8×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454C4⋊Q8×C73C2311yescharacteristic
455#127×C73C2311yescharacteristic
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73—21no—
460C4×Q8×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×D4×C73—21no—
463C4×D4×C73—21no—
464C4×D4×C73—21no—
465C4×D4×C73—21no—
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468#117×C73—21no—
469#117×C73C2311yescharacteristic
470C2×C42×C73—21no—
471C2×C42×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924029—41no—
488#11924029—41no—
489#11924029—41no—
490#11924029—41no—
491#11924028—82no—
492#11924027—22no—
493#11924027—41no—
494#11924027—82no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146C2×D411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292C2×D411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73C2×D411yescharacteristic
522C2×C22⋊D73C2×D411yescharacteristic
523D4×D73—22no—
524D4×D73—41no—
525D4×D73—41no—
526D4×D73—41no—
527D4×D73—41no—
528D4×D73—41no—
529D4×D73—82no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73C2411yescharacteristic
543C2×C4×D73C2411yescharacteristic
544#11924018—41no—
545#11924018—41no—
546#11924017—41no—
547#11924017—41no—
548#11924016—41no—
549#11924016—41no—
550#11924015—41no—
551#11924015—41no—
552#11924015—41no—
553#11924015—41no—
554D584—41no—
555D584—41no—
556#11924013—22no—
557#11924013—22no—
558#11924013—41no—
559#11924013—41no—
560#11924011—41no—
561#11924011—41no—
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C8×D73—41no—
567C8×D73—41no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73C2×D411yescharacteristic
574C4⋊Dic73C2×D411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
635#11924005C2×D411yescharacteristic
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73C2411yescharacteristic
646C4×Dic73C2411yescharacteristic
647#41×C73—22no—
648#41×C73—41no—
649#41×C73—41no—
650#41×C73—41no—
651#41×C73—41no—
652#41×C73—41no—
653C2×Q8×C73C2411yescharacteristic
654C2×Q8×C73C2411yescharacteristic
655C2×Q8×C73C2411yescharacteristic
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73C2411yescharacteristic
662C2×D4×C73C2411yescharacteristic
663C2×D4×C73C2411yescharacteristic
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73C2×D411yescharacteristic
670C22×C4×C73C2×D411yescharacteristic
671C22×C4×C73C2411yescharacteristic
672Q16×C73—41no—
673Q16×C73—41no—
674SD16×C73—22no—
675SD16×C73—22no—
676SD16×C73—41no—
677SD16×C73—41no—
678D8×C73—22no—
679D8×C73—22no—
680C2×C8×C73—41no—
681C2×C8×C73—41no—
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C42×C73—21no—
700C42×C73—21no—
701C42×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73C22×D411yescharacteristic
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—42no—
714C22×D73—81no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—42no—
736D4×C73—42no—
737D4×C73—81no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73H(5,𝔽2)12yes—
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—41no—
749C2×C4×C73—41no—
750C2×C4×C73—42no—
751C2×C4×C73—81no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C2511yescharacteristic
761C22⋊D73—41no—
762C22⋊D73—41no—
763C22⋊D73—42no—
764C22⋊D73—42no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—42no—
782C2×Dic73—81no—
783C2×Dic73—81no—
784C2×Dic73—81no—
785C2×Dic73—81no—
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792D292—21no—
793D292—21no—
794D292—21no—
795D292—21no—
796D292—21no—
797D292—21no—
798D292—41no—
799D292—81no—
800D292—81no—
801D292—81no—
802D292—81no—
803D292—81no—
804C4×D73—21no—
805C4×D73—21no—
806C4×D73—21no—
807C4×D73—21no—
808C4×D73—42no—
809C4×D73—42no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814C4×D73—81no—
815Dic146—21no—
816Dic146—21no—
817Dic146—41no—
818Dic146—81no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—22no—
831C22×C73—21no—
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×C73C23×D411yescharacteristic
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—21no—
844C2×D73—21no—
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—162no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—21no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73C2×H(5,𝔽2)11yescharacteristic
870C4×C73#58511yescharacteristic
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—21no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62024—731nomaximal, Sylow
883C2×C73—42no—
884C2×C73—41no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73#348811yescharacteristic
888C2×C73#358411yescharacteristic
889C2×C73#358511yescharacteristic
890D73—41no—
891D73—41no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3546—731no—
896#3521—731no—
897#3402—731no—
898#3397—731no—
899#3376—731no—
900#3366—731no—
901#3315—731no—
902#3311—731no—
903#3310—731no—
904#3309—731no—
905#3304—731no—
906#3297—731no—
907#3284—731no—
908#3280—731no—
909#3268—731no—
910#3267—731no—
911#3267—731no—
912#3264—731no—
913#3263—731no—
914#3258—731no—
915#3247—731no—
916#3224—731no—
917#3222—731no—
918#3219—731no—
919#3124—731no—
920#3118—731no—
921#3115—731no—
922#3045—731no—
923#3041—731no—
924#3035D7311yescharacteristic, complemented
925#2992—731no—
926C73#6202411yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×#135—731no—
930C2×#135C2×D7311yescharacteristic, complemented
931C2×#135C2×D7311yescharacteristic, complemented
932C22×D8—731no—
933#560—1461no—
934#560—1461no—
935#556—731no—
936#556—731no—
937#556—731no—
938#554—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#552—731no—
943#552—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#550—731no—
948#550—731no—
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42—731no—
957#542—731no—
958#542—731no—
959#542—731no—
960#541—731no—
961#539—1461no—
962#538—1461no—
963#538—1461no—
964#538—1461no—
965#537—1461no—
966#535—731no—
967#535—731no—
968#535—1461no—
969#532—731no—
970#532C2×D7311yescharacteristic, complemented
971#529—731no—
972#529—731no—
973#529—1461no—
974C2×#126—1461no—
975#520—731no—
976#518—731no—
977C4×#41C2×D7311yescharacteristic, complemented
978#497—731no—
979#497—731no—
980#496—731no—
981#496—731no—
982#495—731no—
983#492—731no—
984#491—731no—
985#490—731no—
986#490—731no—
987#489—731no—
988#488—731no—
989#486—731no—
990#485—731no—
991#484—731no—
992#482—731no—
993#482—731no—
994#482—731no—
995#480—731no—
996#479—731no—
997#478—731no—
998#478—731no—
999#478—731no—
1000#477—731no—
1001#476—731no—
1002#476—731no—
1003#475—731no—
1004#475—731no—
1005#474—731no—
1006#470—731no—
1007#470—731no—
1008#469—731no—
1009#468—731no—
1010#467—731no—
1011#466—731no—
1012#466—731no—
1013#465—731no—
1014#465—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464C2×D7311yescharacteristic, complemented
1023#464C2×D7311yescharacteristic, complemented
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463C2×D7311yescharacteristic, complemented
1033#463C2×D7311yescharacteristic, complemented
1034#462—731no—
1035#462C2×D7311yescharacteristic, complemented
1036#461—731no—
1037#461C2×D7311yescharacteristic, complemented
1038#460—731no—
1039#460—731no—
1040#460—731no—
1041#460C2×D7311yescharacteristic, complemented
1042#459—731no—
1043#459—731no—
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459C2×D7311yescharacteristic
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452—731no—
1053#452—731no—
1054#450—731no—
1055#450—731no—
1056#450—731no—
1057#450—731no—
1058#449—731no—
1059#449—731no—
1060#449—731no—
1061#449—731no—
1062#449—731no—
1063#449—731no—
1064#447—731no—
1065#447—731no—
1066#446—731no—
1067#446—731no—
1068#442—731no—
1069#442—731no—
1070#442—731no—
1071#440—731no—
1072#440—731no—
1073#440—731no—
1074#440—731no—
1075#440—731no—
1076C4×Q16—731no—
1077C4×SD16—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#435—731no—
1081#435—731no—
1082#435—731no—
1083#435—731no—
1084C8×D4—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#432—731no—
1089#424—731no—
1090#424—731no—
1091C2×C4⋊C8C2×D7311yescharacteristic, complemented
1092#418—731no—
1093#417—731no—
1094#416—731no—
1095#416C2×D7311yescharacteristic, complemented
1096#416C2×D7311yescharacteristic, complemented
1097C2×#102—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41C22×D7311yescharacteristic
1104C2×#41C22×D7311yescharacteristic
1105C2×#41C22×D7311yescharacteristic
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—731no—
1109C22×D4—1461no—
1110AGL(1,ℤ/8)—2922no—
1111AGL(1,ℤ/8)—2922no—
1112#135—42no—
1113#135—42no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16C22×D7311yescharacteristic
1118C2×Q16C22×D7311yescharacteristic
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16C22×D7311yescharacteristic
1128C2×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—2922no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C22×C8—731no—
1143C22×C8—731no—
1144C22×C8C22×D7311yescharacteristic
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8C22×D7311yescharacteristic
1150#127—731no—
1151#127—731no—
1152#127—731no—
1153#127—1461no—
1154#127—1461no—
1155#127C22×D7311yescharacteristic
1156#126—731no—
1157#126—731no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#126—1461no—
1167#126—1461no—
1168#126—1461no—
1169#126—1461no—
1170#126—1461no—
1171#126—1461no—
1172#125—731no—
1173#125—731no—
1174#125—731no—
1175#125—1461no—
1176#125—1461no—
1177#125—1461no—
1178#124—731no—
1179#124—731no—
1180#124—731no—
1181#124—731no—
1182#124—731no—
1183#124—1461no—
1184#124—1461no—
1185#124—1461no—
1186#124—1461no—
1187#124—1461no—
1188#124C22×D7311yescharacteristic
1189#124C22×D7311yescharacteristic
1190#123—731no—
1191#123—731no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206C22⋊Q8—731no—
1207C22⋊Q8—731no—
1208C22⋊Q8—731no—
1209C22⋊Q8—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221#121—21no—
1222#121—21no—
1223#121—731no—
1224#121—731no—
1225#121—731no—
1226#121—731no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#120—1461no—
1251#120—1461no—
1252#120—1461no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8—1461no—
1266C4×Q8C22×D7311yescharacteristic
1267C4×Q8C22×D7311yescharacteristic
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4C22×D7311yescharacteristic
1293C4×D4C22×D7311yescharacteristic
1294#117—21no—
1295#117—731no—
1296#117—731no—
1297#117—731no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117C22×D7311yescharacteristic
1304C2×C4⋊C4—731no—
1305C2×C4⋊C4—1461no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4—1461no—
1309C2×C22⋊C4—1461no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C42—21no—
1316C2×C42C22×D7311yescharacteristic
1317#107—731no—
1318#107—731no—
1319#107—731no—
1320#107—731no—
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324#106—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8C22×D7311yescharacteristic
1332C4⋊C8C22×D7311yescharacteristic
1333C4⋊C8C22×D7311yescharacteristic
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103C22×D7311yescharacteristic
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8—731no—
1372C22⋊C8—731no—
1373#97—731no—
1374#97—731no—
1375#97—731no—
1376#97—731no—
1377C4×C8—731no—
1378C4×C8—731no—
1379C24—1461no—
1380C24—1461no—
1381C24—1461no—
1382#41—22no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—2921no—
1392#41—2921no—
1393#41—5842no—
1394#41—5842no—
1395#41—1462no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—1461no—
1399C2×Q8—1461no—
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×Q8C23×D7311yescharacteristic
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—2921no—
1409C2×D4—2921no—
1410C2×D4—2921no—
1411C2×D4—2921no—
1412C2×D4—2921no—
1413C2×D4—5842no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—731no—
1419C2×D4—731no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1462no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4C23×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4D4×D7311yescharacteristic
1462C22×C4D4×D7311yescharacteristic
1463C22×C4C23×D7311yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—2921no—
1467Q16—2921no—
1468SD16—22no—
1469SD16—22no—
1470SD16—41no—
1471SD16—41no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—2921no—
1479SD16—2921no—
1480D8—22no—
1481D8—22no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—2921no—
1486D8—1462no—
1487D8—1462no—
1488M16—2921no—
1489M16—2921no—
1490C2×C8—41no—
1491C2×C8—41no—
1492C2×C8—2921no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—731no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4—1461no—
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—731no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42—731no—
1591C42—731no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42D4×D7311yescharacteristic
1598C42D4×D7311yescharacteristic
1599C42C23×D7311yescharacteristic
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—2922no—
1605C23—5841no—
1606C23—5841no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—5841no—
1613C23—731no—
1614C23—731no—
1615C23—1461no—
1616C23—1461no—
1617C23—1461no—
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—2921no—
1626Q8—5841no—
1627Q8—5841no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—42no—
1636D4—42no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—2921no—
1641D4—2922no—
1642D4—2922no—
1643D4—2921no—
1644D4—2921no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—5841no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665D4—1461no—
1666D4—1461no—
1667D4#1455663612yes—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—42no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2922no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—22no—
1725C22—21no—
1726C22—21no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—11682no—
1745C22—11682no—
1746C22—11682no—
1747C22—1461no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4C2×#1455663611yescharacteristic
1776C4#1798942311yescharacteristic
1777C2—41no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—2921no—
1782C2—2921no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359611yescharacteristic
1787C2#2262470011yescharacteristic
1788C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3035C2
socleC22×C73C23×D4
hypercenter#3035D73
hypocenterC73#62024
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3035

Complements

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

NH ≅ G/Ntype
1. #22624297C2semidirect
2. #22623999C2semidirect
3. #22623005C2semidirect
4. #22622946C2semidirect
5. #22622751C2semidirect
6. #22622633C2semidirect
7. #22622034C2semidirect
8. #22621963C2semidirect
9. #22621959C2semidirect
10. #22621933C2semidirect
11. #22621866C2semidirect
12. #22621782C2semidirect
13. #22621655C2semidirect
14. #22621610C2semidirect
15. #22621471C2semidirect
16. #22621462C2semidirect
17. #22621456C2semidirect
18. #22621406C2semidirect
19. #22621399C2semidirect
20. #22621362C2semidirect
21. #22621258C2semidirect
22. #22621032C2semidirect
23. #22621000C2semidirect
24. #22620968C2semidirect
25. #22620190C2semidirect
26. #22620114C2semidirect
27. #22620082C2semidirect
28. #22619471C2semidirect
29. #22619432C2semidirect
30. #22619067C2semidirect
31. C73×#3035C2semidirect
32. C2×#14556618C22semidirect
34. C2×#14556612C22semidirect
38. #17989311C22semidirect
39. #17989309C22semidirect
40. #17989305C22semidirect
41. #17989296C22semidirect
44. #17989281C22semidirect
49. #17989257C22semidirect
51. #17989256C22semidirect
53. #17989236C22semidirect
57. #17989225C22semidirect
58. #17989225C22semidirect
60. #17989209C22semidirect
62. #17989206C22semidirect
63. #17989195C22semidirect
70. #17989155C22semidirect
72. #17989137C22semidirect
75. #17989121C22semidirect
77. #17989066C22semidirect
78. #17989059C22semidirect
79. #17988980C22semidirect
80. #17988979C22semidirect
82. #17988973C22semidirect
84. #17988958C22semidirect
85. #17988955C22semidirect
86. #17988951C22semidirect
87. #17988950C22semidirect
88. #17988948C22semidirect
89. #17988943C22semidirect
90. #17988932C22semidirect
91. #17988926C22semidirect
92. #17988921C22semidirect
93. #17988911C22semidirect
94. #17988911C22semidirect
96. #17988899C22semidirect
97. #17988896C22semidirect
98. #17988888C22semidirect
99. #17988888C22semidirect
100. #17988885C22semidirect
101. #17988883C22semidirect
102. #17988878C22semidirect
103. #17988875C22semidirect
104. #17988872C22semidirect
105. #17988870C22semidirect
106. #17988867C22semidirect
107. #17988844C22semidirect
108. #17988842C22semidirect
111. #17988825C22semidirect
113. #17988823C22semidirect
114. #17988819C22semidirect
115. #17988816C22semidirect
116. #17988816C22semidirect
118. #17988813C22semidirect
119. #17988812C22semidirect
120. #17988811C22semidirect
121. #17988806C22semidirect
122. #17988806C22semidirect
126. #17988804C22semidirect
128. #17988803C22semidirect
129. #17988799C22semidirect
130. #17988799C22semidirect
131. #17988795C22semidirect
132. #17988790C22semidirect
133. #17988788C22semidirect
134. #17988787C22semidirect
135. #17988786C22semidirect
138. #17988781C22semidirect
139. #17988780C22semidirect
140. #17988780C22semidirect
141. #17988752C22semidirect
142. #17988749C22semidirect
143. #17988749C22semidirect
144. #17988748C22semidirect
145. #17988748C22semidirect
146. #17988746C22semidirect
149. #17988736C22semidirect
150. #17988736C22semidirect
151. #17988735C22semidirect
153. #17988732C22semidirect
154. #17988732C22semidirect
155. #17988732C22semidirect
159. #17988716C22semidirect
160. #17988716C22semidirect
161. #17988699C22semidirect
163. #17988697C22semidirect
164. #17988690C22semidirect
165. #17988688C22semidirect
166. #17988685C22semidirect
167. #17988685C22semidirect
168. #17988684C22semidirect
169. #17988679C22semidirect
170. SD16×Dic73C22semidirect
171. D8×Dic73C22semidirect
172. #17988667C22semidirect
173. #17988658C22semidirect
174. #17988658C22semidirect
177. C8×C22⋊D73C22semidirect
178. C8×C22⋊D73C22semidirect
179. #17988647C22semidirect
180. #17988647C22semidirect
181. #17988644C22semidirect
182. #17988612C22semidirect
183. #17988612C22semidirect
185. #17988587C22semidirect
186. #17988582C22semidirect
187. #102×D73C22semidirect
188. C2×#135×C73C22semidirect
189. C2×#135×C73C22semidirect
190. #532×C73C22semidirect
191. C4×#41×C73C22semidirect
192. #464×C73C22semidirect
193. #464×C73C22semidirect
194. #463×C73C22semidirect
195. #463×C73C22semidirect
196. #462×C73C22semidirect
197. #461×C73C22semidirect
198. #460×C73C22semidirect
200. C2×C4⋊C8×C73C22semidirect
201. #416×C73C22semidirect
202. #416×C73C22semidirect
924. #3035D73semidirect
926. C73#62024semidirect
930. C2×#135C2×D73semidirect
931. C2×#135C2×D73semidirect
970. #532C2×D73semidirect
977. C4×#41C2×D73semidirect
1022. #464C2×D73semidirect
1023. #464C2×D73semidirect
1032. #463C2×D73semidirect
1033. #463C2×D73semidirect
1035. #462C2×D73semidirect
1037. #461C2×D73semidirect
1041. #460C2×D73semidirect
1091. C2×C4⋊C8C2×D73semidirect
1095. #416C2×D73semidirect
1096. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242972
#226239992
#226230052
#226229462
#226227512
#226226332
#226220342
#226219632
#226219592
#226219332
#226218662
#226217822
#226216552
#226216102
#226214712
#226214622
#226214562
#226214062
#226213992
#226213622
#226212582
#226210322
#226210002
#226209682
#226201902
#226201142
#226200822
#226194712
#226194322
#226190672
C73×#30352
#6202473