Finite Group Databasebeta

← #33968866

Subgroups — #33968866

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623931C211yesmaximal, characteristic, complemented
2#22623890C211yesmaximal, characteristic, complemented
3#22622968C211yesmaximal, characteristic, complemented
4#22622855C211yesmaximal, characteristic, complemented
5#22622622C211yesmaximal, characteristic, complemented
6#22622565C211yesmaximal, characteristic, complemented
7#22622508C211yesmaximal, characteristic, complemented
8#22622438C211yesmaximal, characteristic, complemented
9#22622434C211yesmaximal, characteristic, complemented
10#22621878C211yesmaximal, characteristic, complemented
11#22621874C211yesmaximal, characteristic, complemented
12#22621863C211yesmaximal, characteristic, complemented
13#22621788C211yesmaximal, characteristic, complemented
14#22621779C211yesmaximal, characteristic, complemented
15#22621742C211yesmaximal, characteristic, complemented
16#22621544C211yesmaximal, characteristic, complemented
17#22621474C211yesmaximal, characteristic, complemented
18#22621466C211yesmaximal, characteristic, complemented
19#22620612C211yesmaximal, characteristic, complemented
20#22620608C211yesmaximal, characteristic, complemented
21#22620507C211yesmaximal, characteristic, complemented
22#22620199C211yesmaximal, characteristic, complemented
23#22620175C211yesmaximal, characteristic, complemented
24#22620171C211yesmaximal, characteristic, complemented
25#22620080C211yesmaximal, characteristic, complemented
26#22620080C211yesmaximal, characteristic, complemented
27#22618904C211yesmaximal, characteristic, complemented
28#22618762C211yesmaximal, characteristic, complemented
29#22618759C211yesmaximal, characteristic, complemented
30C4×#14556614C211yesmaximal, characteristic, complemented
31C73×#3124C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556616C2211yescharacteristic
34C2×#14556614C2211yescharacteristic
35#17989319C2211yescharacteristic
36#17989313C2211yescharacteristic, complemented
37#17989308C2211yescharacteristic
38#17989303C2211yescharacteristic
39#17989301C2211yescharacteristic
40#17989287—21no—
41#17989287C2211yescharacteristic, complemented
42#17989285—21no—
43#17989285C2211yescharacteristic, complemented
44#17989265—21no—
45#17989264—21no—
46#17989259C2211yescharacteristic, complemented
47#17989258—21no—
48#17989258C2211yescharacteristic, complemented
49#17989256C2211yescharacteristic
50#17989256C2211yescharacteristic, complemented
51#17989252C2211yescharacteristic
52#17989247—21no—
53#17989238—21no—
54#17989238C2211yescharacteristic
55#17989230C2211yescharacteristic
56#17989229—21no—
57#17989228C2211yescharacteristic
58#17989221C2211yescharacteristic
59#17989209C2211yescharacteristic
60#17989192—21no—
61#17989192C2211yescharacteristic, complemented
62#17989188—21no—
63#17989188C2211yescharacteristic, complemented
64#17989176—21no—
65#17989171—21no—
66#17989134—21no—
67#17989134C2211yescharacteristic
68#17989134C2211yescharacteristic, complemented
69#17989120—21no—
70#17989115—21no—
71#17989115C2211yescharacteristic
72#124×D73—21no—
73#17989069C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic
75#17989059C2211yescharacteristic
76C4×#11924029C2211yescharacteristic
77C4×#11924029C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic
84#17988943C2211yescharacteristic, complemented
85#17988941C2211yescharacteristic, complemented
86#17988935C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic
88#17988932C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic
100#17988890C2211yescharacteristic
101#17988888C2211yescharacteristic
102#17988888C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic, complemented
104#17988880C2211yescharacteristic, complemented
105#17988870C2211yescharacteristic, complemented
106#17988870C2211yescharacteristic, complemented
107#17988866C2211yescharacteristic
108#17988866C2211yescharacteristic, complemented
109#17988866C2211yescharacteristic, complemented
110#17988839C2211yescharacteristic
111#17988838C2211yescharacteristic
112#17988836C2211yescharacteristic, complemented
113#17988835C2211yescharacteristic, complemented
114#17988824C2211yescharacteristic
115#17988824C2211yescharacteristic, complemented
116#17988822C2211yescharacteristic, complemented
117#17988822C2211yescharacteristic, complemented
118#17988821C2211yescharacteristic
119#17988820C2211yescharacteristic, complemented
120#17988818C2211yescharacteristic, complemented
121#17988813C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988785C2211yescharacteristic
125#17988785C2211yescharacteristic, complemented
126#17988783C2211yescharacteristic
127#17988783C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic
129#17988781C2211yescharacteristic
130#17988781C2211yescharacteristic
131#17988780C2211yescharacteristic, complemented
132#17988748C2211yescharacteristic, complemented
133#17988735C2211yescharacteristic
134#17988735C2211yescharacteristic
135#17988735C2211yescharacteristic, complemented
136#17988731C2211yescharacteristic
137#17988731C2211yescharacteristic, complemented
138#17988723C2211yescharacteristic
139#17988723C2211yescharacteristic
140#17988722C2211yescharacteristic
141#17988719C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988711C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic
145#17988700C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic
147#17988697C2211yescharacteristic, complemented
148#17988697C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic, complemented
150#17988690C2211yescharacteristic
151#17988685C2211yescharacteristic
152#17988685C2211yescharacteristic, complemented
153#17988685C2211yescharacteristic, complemented
154Q16×Dic73C2211yescharacteristic, complemented
155SD16×Dic73C2211yescharacteristic, complemented
156C4×#11924015C2211yescharacteristic
157C4×#11924015C2211yescharacteristic, complemented
158C4×#11924015C2211yescharacteristic, complemented
159#17988672C2211yescharacteristic
160#17988672C2211yescharacteristic, complemented
161C4×D584C2211yescharacteristic
162C4×D584C2211yescharacteristic, complemented
163#17988669C2211yescharacteristic
164#17988669C2211yescharacteristic
165C4×#11924013C2211yescharacteristic
166C4×#11924013C2211yescharacteristic, complemented
167C4×#11924013C2211yescharacteristic, complemented
168#17988662C2211yescharacteristic
169#17988661C2211yescharacteristic, complemented
170#17988657C2211yescharacteristic, complemented
171#17988652C2211yescharacteristic, complemented
172#17988650C2211yescharacteristic
173#17988650C2211yescharacteristic, complemented
174#17988646C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177#17988627C2211yescharacteristic, complemented
178#17988624C2211yescharacteristic, complemented
179#17988583C2211yescharacteristic, complemented
180#17988582C2211yescharacteristic
181#17988582C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183C2×#14556511C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988544C2211yescharacteristic, complemented
186#17988543C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic
189#520×C73C2211yescharacteristic, complemented
190#484×C73C2211yescharacteristic, complemented
191#480×C73C2211yescharacteristic
192#477×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#452×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#440×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×Q16×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×Q8×D73—21no—
211C22×D292C2311yescharacteristic
212C2×D4×D73—21no—
213C2×D4×D73C2311yescharacteristic
214#14556618—24no—
215#14556616—24no—
216#14556614—24no—
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×D584C2311yescharacteristic
222C2×D584C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235#14556590—21no—
236#14556590C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556588—21no—
240#14556588C2311yescharacteristic
241#14556587—21no—
242#14556587—21no—
243#14556587C2311yescharacteristic
244#14556587C2311yescharacteristic
245#14556587C2311yescharacteristic
246#14556586—21no—
247#14556586—21no—
248#14556586D411yescharacteristic
249#14556585—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584D411yescharacteristic
253#14556583—21no—
254#14556583C2311yescharacteristic
255#14556582—21no—
256#14556582C2311yescharacteristic
257#14556581D411yescharacteristic
258#14556580—21no—
259#14556580—21no—
260#14556580C2311yescharacteristic
261#14556579—21no—
262#14556578—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577D411yescharacteristic
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576D411yescharacteristic
276#14556575—21no—
277#14556574—21no—
278#14556574—21no—
279#14556574—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573D411yescharacteristic
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569D411yescharacteristic
289#14556567—21no—
290#14556567C2311yescharacteristic
291#14556566—21no—
292#14556566—21no—
293#14556566—21no—
294#14556566—21no—
295#14556566C2311yescharacteristic
296#14556566C2311yescharacteristic
297#14556566C2311yescharacteristic
298#14556566C2311yescharacteristic
299#14556565—21no—
300#14556565—21no—
301#14556565—21no—
302#14556565—21no—
303#14556565—21no—
304#14556565C2311yescharacteristic
305#14556565C2311yescharacteristic
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564D411yescharacteristic
317#14556563—21no—
318#14556562—21no—
319#14556562—21no—
320#14556562C2311yescharacteristic
321#14556562C2311yescharacteristic
322#14556562C2311yescharacteristic
323#14556561—21no—
324#14556561—21no—
325#14556561—21no—
326#14556559—21no—
327Q8×Dic73C2311yescharacteristic
328Q8×Dic73C2311yescharacteristic
329Q8×Dic73C2311yescharacteristic
330C4×Dic146—21no—
331C4×Dic146C2311yescharacteristic
332#14556556—21no—
333C4×D292—21no—
334C4×D292—21no—
335C4×D292—21no—
336C4×D292—21no—
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345#14556553—21no—
346#14556553—21no—
347#14556553—21no—
348#14556553—21no—
349#14556553—21no—
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73C2311yescharacteristic
362C4×C22⋊D73C2311yescharacteristic
363#14556551—21no—
364#14556551—21no—
365#14556550C2311yescharacteristic
366#14556549—21no—
367#14556549—21no—
368#14556549—21no—
369#14556549C2311yescharacteristic
370#14556549C2311yescharacteristic
371#14556549C2311yescharacteristic
372#14556548—21no—
373#14556548C2311yescharacteristic
374#14556547—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73C2311yescharacteristic
377C2×#11924005—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C42×D73—21no—
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C2×Q16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C4⋊Q8×C73C2311yescharacteristic
444#126×C73—21no—
445#124×C73—21no—
446#124×C73C2311yescharacteristic
447#123×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73—21no—
460#117×C73C2311yescharacteristic
461C2×C4⋊C4×C73—21no—
462C2×C4⋊C4×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—22no—
485#11924029—22no—
486#11924029—41no—
487#11924029—41no—
488#11924029—41no—
489#11924028—82no—
490#11924028—82no—
491#11924028—82no—
492#11924028—82no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146C2×D411yescharacteristic
497Q8×D73—82no—
498C2×D292—22no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—41no—
510C2×D292C2×D411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
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⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73C2×D411yescharacteristic
528C2×C22⋊D73C2×D411yescharacteristic
529D4×D73—22no—
530D4×D73—41no—
531D4×D73—82no—
532C22×Dic73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—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×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2411yescharacteristic
550C2×C4×D73C2411yescharacteristic
551#11924015—22no—
552#11924015—22no—
553#11924015—41no—
554#11924015#4114yescomplemented
555D584—22no—
556D584—22no—
557D584—41no—
558D584—41no—
559#11924013—22no—
560#11924013—22no—
561#11924013—22no—
562#11924013—41no—
563#11924012—22no—
564#11924011—22no—
565C2×#10596831—41no—
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C2×#10596831C2411yescharacteristic
570C8×D73—22no—
571C8×D73—41no—
572C8×D73—41no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73C2×D411yescharacteristic
578C4⋊Dic73C2×D411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73C2×D411yescharacteristic
603C22⋊Dic73C2×D411yescharacteristic
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
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#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643#41×C73—22no—
644#41×C73—41no—
645C2×Q8×C73—21no—
646C2×Q8×C73C2411yescharacteristic
647C2×Q8×C73C2411yescharacteristic
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73C2411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73C2411yescharacteristic
658Q16×C73—22no—
659SD16×C73—22no—
660SD16×C73—41no—
661D8×C73—41no—
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2×D411yescharacteristic
673C4⋊C4×C73C2×D411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73C2×D411yescharacteristic
686C22⋊C4×C73C2×D411yescharacteristic
687C42×C73—21no—
688C42×C73—21no—
689C42×C73—21no—
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—81no—
702C22×D73—81no—
703C22×D73—81no—
704C22×D73—81no—
705C22×D73C22×D411yescharacteristic
706C22×D73C22×D411yescharacteristic
707Q8×C73—21no—
708Q8×C73—21no—
709Q8×C73—21no—
710Q8×C73—81no—
711Q8×C73C2×#4112yes—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—42no—
717D4×C73—81no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—42no—
727C2×C4×C73—81no—
728C2×C4×C73—81no—
729C2×C4×C73—81no—
730C2×C4×C73—81no—
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C2511yescharacteristic
737C22⋊D73—22no—
738C22⋊D73—41no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—81no—
743C22⋊D73—81no—
744C22⋊D73—81no—
745C22⋊D73—81no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—81no—
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762D292—21no—
763D292—21no—
764D292—21no—
765D292—21no—
766D292—21no—
767D292—21no—
768D292—21no—
769D292—41no—
770D292—42no—
771D292—42no—
772D292—42no—
773D292—42no—
774D292—81no—
775D292—81no—
776D292—81no—
777D292—81no—
778D292—81no—
779D292—81no—
780D292C2×#4112yes—
781C4×D73—21no—
782C4×D73—21no—
783C4×D73—21no—
784C4×D73—21no—
785C4×D73—22no—
786C4×D73—41no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801Dic146—22no—
802Dic146—42no—
803Dic146—42no—
804Dic146—81no—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73—21no—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831C2×#4112yes—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73C23×D411yescharacteristic
823C2×D73—21no—
824C2×D73—21no—
825C2×D73—21no—
826C2×D73—21no—
827C2×D73—22no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—162no—
842C2×D73—162no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—22no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73C22×#4111yescharacteristic
855C4×C73#58511yescharacteristic
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73#57612yes—
866#61494—731nomaximal, Sylow
867C2×C73—41no—
868C2×C73—81no—
869C2×C73—81no—
870C2×C73D4×#4111yescharacteristic
871C2×C73C2×#57611yescharacteristic
872C2×C73#358411yescharacteristic
873D73—41no—
874D73—41no—
875D73—42no—
876D73—81no—
877D73—81no—
878D73—81no—
879#3517—731no—
880#3514—731no—
881#3399—731no—
882#3386—731no—
883#3365—731no—
884#3358—731no—
885#3353—731no—
886#3347—731no—
887#3347—731no—
888#3305—731no—
889#3305—731no—
890#3304—731no—
891#3297—731no—
892#3297—731no—
893#3294—731no—
894#3274—731no—
895#3268—731no—
896#3268—731no—
897#3179—731no—
898#3179—731no—
899#3169—731no—
900#3124—731no—
901#3124D7311yescharacteristic, complemented
902#3122—731no—
903#3122—731no—
904#3115—731no—
905#3115—731no—
906#2966—731no—
907#2946—731no—
908#2946—731no—
909C4×#135—731no—
910C73#6149411yescharacteristic, complemented, Sylow
911C2×AGL(1,ℤ/8)—731no—
912C2×AGL(1,ℤ/8)—731no—
913C2×#135—731no—
914#559—731no—
915#557—731no—
916#556—731no—
917#555—731no—
918#555—731no—
919#553—731no—
920#553—731no—
921#553—1461no—
922#553—1461no—
923#551—1461no—
924#551—1461no—
925#550—731no—
926#550—731no—
927#550—731no—
928#550—731no—
929#550—1461no—
930D4×Q8—731no—
931#548—1461no—
932#547—731no—
933#547—1461no—
934#546—731no—
935#546—731no—
936#546—1461no—
937D42—731no—
938#542—731no—
939#542C2×D7311yescharacteristic
940#540—731no—
941#540—731no—
942#540—1461no—
943#540—1461no—
944#538—1461no—
945#538—1461no—
946#532—731no—
947#532—731no—
948#532—1461no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952C2×#124—1461no—
953#520—731no—
954#520C2×D7311yescharacteristic, complemented
955#518—731no—
956#518—731no—
957C4×#41—731no—
958C4×#41—731no—
959#501—731no—
960#501—731no—
961#500—731no—
962#496—731no—
963#496—731no—
964#493—731no—
965#488—731no—
966#488—731no—
967#486—731no—
968#486—731no—
969#486—731no—
970#486—731no—
971#484—731no—
972#484C2×D7311yescharacteristic, complemented
973#482—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#480—731no—
982#480C2×D7311yescharacteristic
983#478—731no—
984#478—731no—
985#478—731no—
986#478—731no—
987#477—731no—
988#477C2×D7311yescharacteristic, complemented
989#475—731no—
990#475—731no—
991#474—731no—
992#474—731no—
993#474—731no—
994#474C2×D7311yescharacteristic, complemented
995#469—731no—
996#469—731no—
997#468—731no—
998#468—731no—
999#466—731no—
1000#466—731no—
1001#466—731no—
1002#466—731no—
1003#466—731no—
1004#466—731no—
1005#465—731no—
1006#465—731no—
1007#464—731no—
1008#464C2×D7311yescharacteristic, complemented
1009#463—731no—
1010#463C2×D7311yescharacteristic, complemented
1011#460—731no—
1012#460—731no—
1013#459—731no—
1014#459—731no—
1015#459—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#452—731no—
1020#452C2×D7311yescharacteristic, complemented
1021#449—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#449C2×D7311yescharacteristic
1027#447—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#446—731no—
1032C8×Q8—731no—
1033#442—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440C2×D7311yescharacteristic, complemented
1044#440C2×D7311yescharacteristic, complemented
1045C4×Q16—731no—
1046C4×Q16C2×D7311yescharacteristic, complemented
1047C4×SD16—731no—
1048C4×SD16—731no—
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×D8—731no—
1054C4×D8—731no—
1055C4×D8—731no—
1056C4×D8—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8C2×D7311yescharacteristic, complemented
1061#436—731no—
1062#435—731no—
1063#435—731no—
1064C8×D4—731no—
1065C8×D4—731no—
1066C8×D4—731no—
1067#433—731no—
1068#433C2×D7311yescharacteristic, complemented
1069#432—731no—
1070#428—731no—
1071#428—731no—
1072#427—731no—
1073#416—731no—
1074#416—731no—
1075#416—731no—
1076#416—731no—
1077C2×#102—731no—
1078C2×#102—731no—
1079#405—731no—
1080#405—731no—
1081C2×C4×C8—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C2×#41—1461no—
1087C2×#41—1461no—
1088C2×#41—1461no—
1089C2×#41C22×D7311yescharacteristic
1090C22×Q8—1461no—
1091C22×D4—731no—
1092C22×D4—731no—
1093C22×D4—1461no—
1094AGL(1,ℤ/8)—1464no—
1095AGL(1,ℤ/8)—1464no—
1096#135—1464no—
1097C2×Q16C22×D7311yescharacteristic
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16C22×D7311yescharacteristic
1103C2×SD16C22×D7311yescharacteristic
1104C2×D8—731no—
1105C2×D8—731no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8C22×D7311yescharacteristic
1113C2×M16—731no—
1114C2×M16—731no—
1115C22×C8—731no—
1116C22×C8—731no—
1117C22×C8—731no—
1118C22×C8—731no—
1119C4⋊Q8—731no—
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—1461no—
1123C4⋊Q8C22×D7311yescharacteristic
1124#127—731no—
1125#127—731no—
1126#127—731no—
1127#127—731no—
1128#127—1461no—
1129#127—1461no—
1130#127—1461no—
1131#126—21no—
1132#126—731no—
1133#126—731no—
1134#126—1461no—
1135#126—1461no—
1136#126—1461no—
1137#126—1461no—
1138#126—1461no—
1139#125—731no—
1140#125—731no—
1141#125—731no—
1142#125—1461no—
1143#125—1461no—
1144#124—21no—
1145#124—731no—
1146#124—731no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#124C22×D7311yescharacteristic
1157#123—21no—
1158#123—731no—
1159#123—731no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173C22⋊Q8—21no—
1174C22⋊Q8—731no—
1175C22⋊Q8—731no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8C22×D7311yescharacteristic
1182#121—731no—
1183#121—731no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121C22×D7311yescharacteristic
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219C4×Q8—731no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—1461no—
1224C4×Q8—1461no—
1225C4×Q8C22×D7311yescharacteristic
1226C4×Q8C22×D7311yescharacteristic
1227C4×Q8C22×D7311yescharacteristic
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4C22×D7311yescharacteristic
1263C4×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265#117—21no—
1266#117—731no—
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117C22×D7311yescharacteristic
1277C2×C4⋊C4—21no—
1278C2×C4⋊C4—731no—
1279C2×C4⋊C4—1461no—
1280C2×C4⋊C4C22×D7311yescharacteristic
1281C2×C22⋊C4—1461no—
1282C2×C22⋊C4—1461no—
1283C2×C22⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C42—731no—
1288C2×C42—1461no—
1289C2×C42—1461no—
1290#107—731no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107C22×D7311yescharacteristic
1297#107C22×D7311yescharacteristic
1298#107C22×D7311yescharacteristic
1299#107C22×D7311yescharacteristic
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306C4⋊C8—731no—
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8C22×D7311yescharacteristic
1311C4⋊C8C22×D7311yescharacteristic
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103C22×D7311yescharacteristic
1317#103C22×D7311yescharacteristic
1318#103C22×D7311yescharacteristic
1319#103C22×D7311yescharacteristic
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344C22⋊C8—731no—
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8C22×D7311yescharacteristic
1349C22⋊C8C22×D7311yescharacteristic
1350#97—731no—
1351#97—731no—
1352#97—731no—
1353#97C22×D7311yescharacteristic
1354C4×C8—731no—
1355C4×C8—731no—
1356C4×C8—731no—
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8C22×D7311yescharacteristic
1360C24—1461no—
1361C24—1461no—
1362#41—22no—
1363#41—41no—
1364#41—2921no—
1365#41—2921no—
1366#41—2921no—
1367#41—5842no—
1368#41—5842no—
1369#41—5842no—
1370#41—5842no—
1371#41—1462no—
1372#41—1462no—
1373#41—1462no—
1374C2×Q8—21no—
1375C2×Q8—5842no—
1376C2×Q8—731no—
1377C2×Q8—1461no—
1378C2×Q8—1461no—
1379C2×Q8—1461no—
1380C2×Q8C23×D7311yescharacteristic
1381C2×Q8C23×D7311yescharacteristic
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—2921no—
1385C2×D4—2921no—
1386C2×D4—5842no—
1387C2×D4—731no—
1388C2×D4—731no—
1389C2×D4—731no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1462no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1462no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4C23×D7311yescharacteristic
1419C2×D4C23×D7311yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—731no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4C23×D7311yescharacteristic
1445Q16—22no—
1446SD16—22no—
1447SD16—41no—
1448SD16—2921no—
1449SD16—734no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—41no—
1453D8—2921no—
1454D8—2921no—
1455D8—2921no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460D8—1462no—
1461M16—1462no—
1462M16—1462no—
1463C2×C8—2921no—
1464C2×C8—2921no—
1465C2×C8—2921no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—731no—
1470C2×C8—1462no—
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4D4×D7311yescharacteristic
1506C4⋊C4D4×D7311yescharacteristic
1507C4⋊C4C23×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—731no—
1519C22⋊C4—731no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4D4×D7311yescharacteristic
1554C22⋊C4D4×D7311yescharacteristic
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42C23×D7311yescharacteristic
1570C42C23×D7311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—2922no—
1574C23—2922no—
1575C23—5841no—
1576C23—5841no—
1577C23—5841no—
1578C23—5841no—
1579C23—731no—
1580C23—731no—
1581C23—1461no—
1582C23—1461no—
1583C23—1461no—
1584C23—1461no—
1585C23C2×D4×D7311yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—81no—
1590Q8—2922no—
1591Q8—2922no—
1592Q8—5841no—
1593Q8—1462no—
1594Q8#41×D7312yes—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—42no—
1600D4—81no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—2921no—
1605D4—2922no—
1606D4—2922no—
1607D4—2922no—
1608D4—2921no—
1609D4—2922no—
1610D4—5841no—
1611D4—5841no—
1612D4—5841no—
1613D4—5841no—
1614D4—5841no—
1615D4—5841no—
1616D4—5841no—
1617D4—5841no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—732no—
1626D4—1462no—
1627D4—1461no—
1628D4—1461no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—42no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—2921no—
1650C2×C4—2922no—
1651C2×C4—2922no—
1652C2×C4—2922no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—731no—
1664C2×C4—731no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—1462no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4C2×D4×D7311yescharacteristic
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C24×D7311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—732no—
1689C8—1461no—
1690C8—1461no—
1691C8—1461no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—2921no—
1702C22—2921no—
1703C22—2921no—
1704C22—2921no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—11682no—
1713C22—11682no—
1714C22—1461no—
1715C22—1461no—
1716C22—1462no—
1717C22—1461no—
1718C22—1461no—
1719C22—1461no—
1720C22—1461no—
1721C22C22×D4×D7311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—22no—
1726C4—21no—
1727C4—21no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—732no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4C2×#41×D7311yescharacteristic
1744C4#1798942311yescharacteristic
1745C2—41no—
1746C2—81no—
1747C2—81no—
1748C2—2922no—
1749C2—2921no—
1750C2—2921no—
1751C2—5841no—
1752C2—5841no—
1753C2—5841no—
1754C2#2262341411yescharacteristic
1755C2#576×D7311yescharacteristic
1756C2#2262470111yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3124C2
socleC22×C73C23×D4
hypercenter#3124D73
hypocenterC73#61494
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #22623931C2semidirect
2. #22623890C2semidirect
3. #22622968C2semidirect
4. #22622855C2semidirect
5. #22622622C2semidirect
6. #22622565C2semidirect
7. #22622508C2semidirect
8. #22622438C2semidirect
9. #22622434C2semidirect
10. #22621878C2semidirect
11. #22621874C2semidirect
12. #22621863C2semidirect
13. #22621788C2semidirect
14. #22621779C2semidirect
15. #22621742C2semidirect
16. #22621544C2semidirect
17. #22621474C2semidirect
18. #22621466C2semidirect
19. #22620612C2semidirect
20. #22620608C2semidirect
21. #22620507C2semidirect
22. #22620199C2semidirect
23. #22620175C2semidirect
24. #22620171C2semidirect
25. #22620080C2semidirect
26. #22620080C2semidirect
27. #22618904C2semidirect
28. #22618762C2semidirect
29. #22618759C2semidirect
30. C4×#14556614C2semidirect
31. C73×#3124C2semidirect
36. #17989313C22semidirect
41. #17989287C22semidirect
43. #17989285C22semidirect
46. #17989259C22semidirect
48. #17989258C22semidirect
50. #17989256C22semidirect
61. #17989192C22semidirect
63. #17989188C22semidirect
68. #17989134C22semidirect
73. #17989069C22semidirect
77. C4×#11924029C22semidirect
78. #17988995C22semidirect
79. #17988993C22semidirect
80. #17988991C22semidirect
81. #17988977C22semidirect
82. #17988973C22semidirect
84. #17988943C22semidirect
85. #17988941C22semidirect
86. #17988935C22semidirect
88. #17988932C22semidirect
89. #17988932C22semidirect
90. #17988921C22semidirect
91. #17988914C22semidirect
92. #17988914C22semidirect
93. #17988914C22semidirect
94. #17988912C22semidirect
95. #17988912C22semidirect
96. #17988910C22semidirect
97. #17988910C22semidirect
98. #17988909C22semidirect
102. #17988888C22semidirect
103. #17988885C22semidirect
104. #17988880C22semidirect
105. #17988870C22semidirect
106. #17988870C22semidirect
108. #17988866C22semidirect
109. #17988866C22semidirect
112. #17988836C22semidirect
113. #17988835C22semidirect
115. #17988824C22semidirect
116. #17988822C22semidirect
117. #17988822C22semidirect
119. #17988820C22semidirect
120. #17988818C22semidirect
121. #17988813C22semidirect
122. #17988811C22semidirect
123. #17988805C22semidirect
125. #17988785C22semidirect
127. #17988783C22semidirect
131. #17988780C22semidirect
132. #17988748C22semidirect
135. #17988735C22semidirect
137. #17988731C22semidirect
142. #17988716C22semidirect
143. #17988711C22semidirect
145. #17988700C22semidirect
147. #17988697C22semidirect
148. #17988697C22semidirect
149. #17988696C22semidirect
152. #17988685C22semidirect
153. #17988685C22semidirect
154. Q16×Dic73C22semidirect
155. SD16×Dic73C22semidirect
157. C4×#11924015C22semidirect
158. C4×#11924015C22semidirect
160. #17988672C22semidirect
162. C4×D584C22semidirect
166. C4×#11924013C22semidirect
167. C4×#11924013C22semidirect
169. #17988661C22semidirect
170. #17988657C22semidirect
171. #17988652C22semidirect
173. #17988650C22semidirect
174. #17988646C22semidirect
175. #17988642C22semidirect
176. #17988628C22semidirect
177. #17988627C22semidirect
178. #17988624C22semidirect
179. #17988583C22semidirect
181. #17988582C22semidirect
182. #17988582C22semidirect
185. #17988544C22semidirect
186. #17988543C22semidirect
187. C4×C8×D73C22semidirect
189. #520×C73C22semidirect
190. #484×C73C22semidirect
192. #477×C73C22semidirect
193. #474×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #452×C73C22semidirect
198. #440×C73C22semidirect
199. #440×C73C22semidirect
200. C4×Q16×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #433×C73C22semidirect
554. #11924015#41semidirect
901. #3124D73semidirect
910. C73#61494semidirect
954. #520C2×D73semidirect
972. #484C2×D73semidirect
988. #477C2×D73semidirect
994. #474C2×D73semidirect
1008. #464C2×D73semidirect
1010. #463C2×D73semidirect
1020. #452C2×D73semidirect
1043. #440C2×D73semidirect
1044. #440C2×D73semidirect
1046. C4×Q16C2×D73semidirect
1060. C4×D8C2×D73semidirect
1068. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239312
#226238902
#226229682
#226228552
#226226222
#226225652
#226225082
#226224382
#226224342
#226218782
#226218742
#226218632
#226217882
#226217792
#226217422
#226215442
#226214742
#226214662
#226206122
#226206082
#226205072
#226201992
#226201752
#226201712
#226200802
#226189042
#226187622
#226187592
C4×#145566142
C73×#31242
#6149473