Finite Group Databasebeta

← #33969119

Subgroups — #33969119

Order 18688.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623890C211yesmaximal, characteristic, complemented
2#22623859C211yesmaximal, characteristic, complemented
3#22623019C211yesmaximal, characteristic, complemented
4#22622834C211yesmaximal, characteristic, complemented
5#22622726C211yesmaximal, characteristic, complemented
6#22622681C211yesmaximal, characteristic, complemented
7#22622523C211yesmaximal, characteristic, complemented
8#22622474C211yesmaximal, characteristic, complemented
9#22622444C211yesmaximal, characteristic, complemented
10#22622166C211yesmaximal, characteristic, complemented
11#22622145C211yesmaximal, characteristic, complemented
12#22622084C211yesmaximal, characteristic, complemented
13#22622075C211yesmaximal, characteristic, complemented
14#22621960C211yesmaximal, characteristic, complemented
15#22621899C211yesmaximal, characteristic, complemented
16#22621537C211yesmaximal, characteristic, complemented
17#22621415C211yesmaximal, characteristic, complemented
18#22621404C211yesmaximal, characteristic, complemented
19#22620612C211yesmaximal, characteristic, complemented
20#22620542C211yesmaximal, characteristic, complemented
21#22620524C211yesmaximal, characteristic, complemented
22#22620204C211yesmaximal, characteristic, complemented
23#22620171C211yesmaximal, characteristic, complemented
24#22620117C211yesmaximal, characteristic, complemented
25#22620038C211yesmaximal, characteristic, complemented
26#22620020C211yesmaximal, characteristic, complemented
27#22618914C211yesmaximal, characteristic, complemented
28#22618781C211yesmaximal, characteristic, complemented
29#22618760C211yesmaximal, characteristic, complemented
30C4×#14556618C211yesmaximal, characteristic, complemented
31C73×#3118C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C22×#11924013C2211yescharacteristic
35#17989320C2211yescharacteristic, complemented
36#17989319C2211yescharacteristic, complemented
37#17989308C2211yescharacteristic, complemented
38#17989303C2211yescharacteristic, complemented
39#17989301C2211yescharacteristic
40#17989294C2211yescharacteristic, complemented
41#17989283—21no—
42#17989281C2211yescharacteristic
43#17989276C2211yescharacteristic, complemented
44#17989266—21no—
45#17989265—21no—
46#17989264—21no—
47#17989263—21no—
48#17989252C2211yescharacteristic, complemented
49#17989247—21no—
50#17989242C2211yescharacteristic, complemented
51#17989232C2211yescharacteristic, complemented
52#17989231C2211yescharacteristic
53#17989230C2211yescharacteristic, complemented
54#17989229—21no—
55#17989228C2211yescharacteristic
56#17989227—21no—
57#17989221C2211yescharacteristic, complemented
58D4×C22⋊D73C2211yescharacteristic, complemented
59#17989209C2211yescharacteristic, complemented
60#17989208C2211yescharacteristic, complemented
61#17989188C2211yescharacteristic, complemented
62#17989179—21no—
63#17989176—21no—
64#17989175—21no—
65#17989171—21no—
66#17989134C2211yescharacteristic, complemented
67#17989120—21no—
68#17989119C2211yescharacteristic, complemented
69#17989115C2211yescharacteristic
70#124×D73—21no—
71#17989096—21no—
72C2×#14556573—21no—
73#17989066C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic, complemented
75#17989059C2211yescharacteristic, complemented
76C4×#11924029C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988995C2211yescharacteristic, complemented
80#17988983C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988969C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988949C2211yescharacteristic, complemented
86#17988946C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988930C2211yescharacteristic, complemented
91#17988929C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988909C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988904C2211yescharacteristic, complemented
100#17988896C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic, complemented
104#17988878C2211yescharacteristic, complemented
105#17988876C2211yescharacteristic, complemented
106#17988875C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic, complemented
108#17988871C2211yescharacteristic, complemented
109#17988868C2211yescharacteristic, complemented
110#17988843C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988839C2211yescharacteristic, complemented
113#17988838C2211yescharacteristic
114#17988837C2211yescharacteristic, complemented
115#17988836C2211yescharacteristic, complemented
116#17988834C2211yescharacteristic, complemented
117#17988832C2211yescharacteristic, complemented
118#17988824C2211yescharacteristic, complemented
119#17988818C2211yescharacteristic, complemented
120#17988814C2211yescharacteristic, complemented
121#17988813C2211yescharacteristic, complemented
122#17988812C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988803C2211yescharacteristic, complemented
126#17988803C2211yescharacteristic, complemented
127#17988801C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic
129#17988781C2211yescharacteristic, complemented
130#17988780C2211yescharacteristic
131#17988780C2211yescharacteristic, complemented
132#17988752C2211yescharacteristic, complemented
133#17988746C2211yescharacteristic, complemented
134#17988740C2211yescharacteristic, complemented
135#17988733C2211yescharacteristic
136#17988731C2211yescharacteristic
137#17988723C2211yescharacteristic
138#17988722C2211yescharacteristic, complemented
139#17988722C2211yescharacteristic, complemented
140#17988719C2211yescharacteristic, complemented
141#17988719C2211yescharacteristic, complemented
142#17988716C2211yescharacteristic, complemented
143#17988714C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic, complemented
147#17988697C2211yescharacteristic, complemented
148#17988697C2211yescharacteristic, complemented
149#17988697C2211yescharacteristic, complemented
150#17988697C2211yescharacteristic, complemented
151#17988696C2211yescharacteristic
152#17988696C2211yescharacteristic
153#17988692C2211yescharacteristic, complemented
154#17988690C2211yescharacteristic, complemented
155#17988689C2211yescharacteristic, complemented
156#17988688C2211yescharacteristic, complemented
157#17988684C2211yescharacteristic, complemented
158C4×#11924017C2211yescharacteristic, complemented
159C4×#11924015C2211yescharacteristic, complemented
160#17988674C2211yescharacteristic, complemented
161C4×#11924016C2211yescharacteristic, complemented
162C4×D584C2211yescharacteristic, complemented
163D8×Dic73C2211yescharacteristic, complemented
164C4×#11924013C2211yescharacteristic
165C4×#11924013C2211yescharacteristic
166C4×#11924013C2211yescharacteristic, complemented
167C4×#11924013C2211yescharacteristic, complemented
168#17988664C2211yescharacteristic, complemented
169#17988662C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic, complemented
172#17988655C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic, complemented
174#17988646C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic, complemented
177#17988626C2211yescharacteristic, complemented
178#17988623C2211yescharacteristic, complemented
179#17988592C2211yescharacteristic, complemented
180#17988591C2211yescharacteristic, complemented
181#17988590C2211yescharacteristic, complemented
182#17988587C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988544C2211yescharacteristic, complemented
186#17988543C2211yescharacteristic, complemented
187C4×#11924011C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic, complemented
189#518×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#476×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic, complemented
197#447×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924027C2311yescharacteristic
207C2×Q8×D73—21no—
208C22×D292C2311yescharacteristic
209C22×C22⋊D73—21no—
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C22×C4×D73—21no—
214#14556618—24no—
215#14556615—24no—
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×D584C2311yescharacteristic
222C2×D584C2311yescharacteristic
223C2×#11924013—24no—
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C22×#10596831C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235#14556591C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556587C2311yescharacteristic
239#14556587C2311yescharacteristic
240#14556586—21no—
241#14556586—21no—
242#14556586D411yescharacteristic
243#14556585—21no—
244#14556585—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584D411yescharacteristic
249#14556583—21no—
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556581D411yescharacteristic
253#14556580—21no—
254#14556580—21no—
255#14556580C2311yescharacteristic
256#14556579—21no—
257#14556579C2311yescharacteristic
258#14556578—21no—
259#14556578C2311yescharacteristic
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577D411yescharacteristic
267#14556576—21no—
268#14556576—21no—
269#14556576D411yescharacteristic
270#14556575—21no—
271#14556575—21no—
272#14556574—21no—
273#14556574—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573D411yescharacteristic
285#14556572—21no—
286#14556571C2311yescharacteristic
287#14556570—21no—
288#14556570—21no—
289#14556570C2311yescharacteristic
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569D411yescharacteristic
295#14556568—21no—
296#14556568—21no—
297#14556567—21no—
298#14556567C2311yescharacteristic
299#14556566—21no—
300#14556566—21no—
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556566C2311yescharacteristic
304#14556565—21no—
305#14556565—21no—
306#14556565C2311yescharacteristic
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564D411yescharacteristic
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556562C2311yescharacteristic
317#14556562C2311yescharacteristic
318#14556562C2311yescharacteristic
319#14556561—21no—
320#14556561—21no—
321#14556561—21no—
322#14556561—21no—
323#14556560—21no—
324#14556560—21no—
325#14556559—21no—
326#14556559—21no—
327Q8×Dic73C2311yescharacteristic
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330#14556556—21no—
331#14556556C2311yescharacteristic
332C4×D292—21no—
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343#14556553—21no—
344#14556553—21no—
345#14556553—21no—
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73C2311yescharacteristic
356C4×C22⋊D73C2311yescharacteristic
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556550—21no—
362#14556550C2311yescharacteristic
363#14556549—21no—
364#14556549—21no—
365#14556549C2311yescharacteristic
366#14556549C2311yescharacteristic
367#14556548—21no—
368#14556548C2311yescharacteristic
369#14556547—21no—
370#14556547—21no—
371C2×C4⋊Dic73—21no—
372C2×#11924007—21no—
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C2×C22⋊Dic73—21no—
376C2×#11924005—21no—
377C2×#11924005—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
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
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C4×#10596831C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×D8×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×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460#117×C73C2311yescharacteristic
461C2×C22⋊C4×C73—21no—
462C2×C22⋊C4×C73—21no—
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×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—
483C23×D73—21no—
484#11924029—22no—
485#11924029—41no—
486#11924028—82no—
487#11924028—82no—
488#11924027—22no—
489#11924027—41no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495Q8×D73—82no—
496C2×D292—22no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—41no—
503C2×D292C2×D411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×C22⋊D73—21no—
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—82no—
519C2×C22⋊D73C2×D411yescharacteristic
520C2×C22⋊D73C2×D411yescharacteristic
521D4×D73—22no—
522D4×D73—22no—
523D4×D73—41no—
524D4×D73—41no—
525D4×D73—82no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—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—82no—
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2411yescharacteristic
545C2×C4×D73C2411yescharacteristic
546#11924018—41no—
547#11924017—22no—
548#11924017—41no—
549#11924016—22no—
550#11924015—22no—
551D584—22no—
552D584—41no—
553#11924013—22no—
554#11924013—22no—
555#11924013—22no—
556#11924013—41no—
557#11924013#4114yescomplemented
558#11924012—41no—
559#11924011—22no—
560#11924011—22no—
561#11924011—41no—
562C2×#10596831—22no—
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
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#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73C2×D411yescharacteristic
606C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
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
643C24×C73—21no—
644C2×Q8×C73—21no—
645C2×Q8×C73C2411yescharacteristic
646C2×D4×C73—22no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—41no—
650C2×D4×C73C2411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73C2411yescharacteristic
659SD16×C73—22no—
660SD16×C73—41no—
661D8×C73—22no—
662D8×C73—41no—
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73C2×D411yescharacteristic
671C4⋊C4×C73C2×D411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
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×C73—21no—
686C22⋊C4×C73C2×D411yescharacteristic
687C22⋊C4×C73C2×D411yescharacteristic
688C42×C73—21no—
689C42×C73—21no—
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—42no—
696C23×C73—81no—
697C23×C73—81no—
698C23×C73C22×D411yescharacteristic
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—42no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73—81no—
709C22×D73—81no—
710C22×D73—81no—
711C22×D73C22×D411yescharacteristic
712C22×D73C22×D411yescharacteristic
713Q8×C73—21no—
714Q8×C73—21no—
715Q8×C73—81no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—21no—
721D4×C73—42no—
722D4×C73—81no—
723D4×C73C2×#4112yes—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—81no—
732C2×C4×C73—81no—
733C2×C4×C73—81no—
734C2×C4×C73—81no—
735C2×C4×C73—81no—
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C2511yescharacteristic
742C22⋊D73—41no—
743C22⋊D73—41no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—42no—
761C2×Dic73—81no—
762C2×Dic73—81no—
763C2×Dic73—81no—
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770D292—21no—
771D292—21no—
772D292—21no—
773D292—21no—
774D292—21no—
775D292—41no—
776D292—42no—
777D292—42no—
778D292—81no—
779D292—81no—
780D292—81no—
781D292C2×#4112yes—
782C4×D73—21no—
783C4×D73—21no—
784C4×D73—21no—
785C4×D73—21no—
786C4×D73—41no—
787C4×D73—41no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799Dic146—21no—
800Dic146—21no—
801Dic146—41no—
802Dic146—42no—
803Dic146—81no—
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—22no—
816C22×C73—21no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—162no—
826C22×C73C23×D411yescharacteristic
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—22no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—84no—
843C2×D73—162no—
844C2×D73—162no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—21no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73C22×#4111yescharacteristic
856C4×C73#58511yescharacteristic
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—21no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867Dic73—41no—
868#61505—731nomaximal, Sylow
869C2×C73—42no—
870C2×C73—41no—
871C2×C73—81no—
872C2×C73—81no—
873C2×C73D4×#4111yescharacteristic
874C2×C73#358511yescharacteristic
875C2×C73#358511yescharacteristic
876D73—41no—
877D73—41no—
878D73—42no—
879D73—81no—
880D73—81no—
881#3514—731no—
882#3513—731no—
883#3403—731no—
884#3384—731no—
885#3373—731no—
886#3370—731no—
887#3354—731no—
888#3350—731no—
889#3348—731no—
890#3325—731no—
891#3323—731no—
892#3319—731no—
893#3318—731no—
894#3311—731no—
895#3306—731no—
896#3273—731no—
897#3264—731no—
898#3264—731no—
899#3179—731no—
900#3173—731no—
901#3171—731no—
902#3125—731no—
903#3122—731no—
904#3118—731no—
905#3118D7311yescharacteristic, complemented
906#3111—731no—
907#3109—731no—
908#2967—731no—
909#2948—731no—
910#2946—731no—
911C4×AGL(1,ℤ/8)—731no—
912C73#6150511yescharacteristic, complemented, Sylow
913C2×AGL(1,ℤ/8)—731no—
914C2×AGL(1,ℤ/8)—731no—
915C22×D8—731no—
916#559—731no—
917#559—731no—
918#556—731no—
919#555—731no—
920#555—731no—
921#554—731no—
922#553—731no—
923#553—1461no—
924#552—731no—
925#551—1461no—
926#551—1461no—
927#551—1461no—
928#551—1461no—
929D4×Q8—731no—
930#548—1461no—
931#547—731no—
932#546—731no—
933#546—731no—
934#546—731no—
935#546—731no—
936#546—1461no—
937#546—1461no—
938D42—731no—
939D42—731no—
940#542—731no—
941#542—731no—
942#542C2×D7311yescharacteristic, complemented
943#540—731no—
944#539—1461no—
945#538—1461no—
946#538—1461no—
947#538—1461no—
948#532—731no—
949#529—731no—
950#529—731no—
951#529—1461no—
952C2×#124—1461no—
953#525—1461no—
954C2×#123—1461no—
955#520—731no—
956#518—731no—
957#518—731no—
958#518C2×D7311yescharacteristic, complemented
959C4×#41—731no—
960C2×C4×D4—731no—
961#501—731no—
962#501—731no—
963#498—731no—
964#496—731no—
965#496—731no—
966#495—731no—
967#490—731no—
968#489—731no—
969#489—731no—
970#489—731no—
971#488—731no—
972#486—731no—
973#485—731no—
974#485—731no—
975#485C2×D7311yescharacteristic, complemented
976#483—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#482C2×D7311yescharacteristic, complemented
982#481—731no—
983#481—731no—
984#481—731no—
985#479—731no—
986#478—731no—
987#478—731no—
988#478—731no—
989#476—731no—
990#476—731no—
991#476—731no—
992#476—731no—
993#476C2×D7311yescharacteristic, complemented
994#475—731no—
995#474—731no—
996#474C2×D7311yescharacteristic, complemented
997#470—731no—
998#469—731no—
999#469—731no—
1000#469—731no—
1001#469—731no—
1002#468—731no—
1003#468—731no—
1004#468—731no—
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#464—731no—
1010#464—731no—
1011#463—731no—
1012#463—731no—
1013#463—731no—
1014#463—731no—
1015#463C2×D7311yescharacteristic, complemented
1016#463C2×D7311yescharacteristic, complemented
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#459—731no—
1021#452—731no—
1022#452—731no—
1023#450—731no—
1024#450C2×D7311yescharacteristic, complemented
1025#449—731no—
1026#449—731no—
1027#447—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#447C2×D7311yescharacteristic
1033#446—731no—
1034#446—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#442—731no—
1042#442—731no—
1043#442—731no—
1044#442C2×D7311yescharacteristic, complemented
1045#441—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050#440C2×D7311yescharacteristic, complemented
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16C2×D7311yescharacteristic, complemented
1056C4×D8—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062C4×D8C2×D7311yescharacteristic, complemented
1063#436—731no—
1064#436—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#435—731no—
1069#433—731no—
1070#433C2×D7311yescharacteristic, complemented
1071#432—731no—
1072#428—731no—
1073#428—731no—
1074#427—731no—
1075#418—731no—
1076#418—731no—
1077#418—731no—
1078#417—731no—
1079#416—731no—
1080C2×#102—731no—
1081#405—731no—
1082#405—731no—
1083C4×M16—731no—
1084C2×#41—731no—
1085C2×#41—731no—
1086C2×#41—1461no—
1087C2×#41—1461no—
1088C22×Q8—1461no—
1089C22×D4—731no—
1090C22×D4—731no—
1091C22×D4—731no—
1092C22×D4—1461no—
1093C22×D4—1461no—
1094C22×D4C22×D7311yescharacteristic
1095C23×C4—1461no—
1096AGL(1,ℤ/8)—1464no—
1097AGL(1,ℤ/8)—1464no—
1098C2×Q16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16C22×D7311yescharacteristic
1104C2×SD16C22×D7311yescharacteristic
1105C2×D8—731no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8—1464no—
1113C2×D8C22×D7311yescharacteristic
1114C2×D8C22×D7311yescharacteristic
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16—731no—
1118C2×M16—731no—
1119C22×C8—731no—
1120C22×C8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—731no—
1123C4⋊Q8—731no—
1124C4⋊Q8C22×D7311yescharacteristic
1125#127—731no—
1126#127—731no—
1127#126—21no—
1128#126—731no—
1129#126—731no—
1130#126—1461no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#126—1461no—
1137#125—731no—
1138#125—731no—
1139#125—731no—
1140#125—1461no—
1141#124—21no—
1142#124—731no—
1143#124—731no—
1144#124—731no—
1145#124—731no—
1146#124—1461no—
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—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177C22⋊Q8—21no—
1178C22⋊Q8—731no—
1179C22⋊Q8—731no—
1180C22⋊Q8—731no—
1181C22⋊Q8—731no—
1182C22⋊Q8—1461no—
1183C22⋊Q8—1461no—
1184C22⋊Q8—1461no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189C22⋊Q8—1461no—
1190C22⋊Q8—1461no—
1191C22⋊Q8C22×D7311yescharacteristic
1192#121—731no—
1193#121—731no—
1194#121—731no—
1195#121—731no—
1196#121—731no—
1197#121—731no—
1198#121—731no—
1199#121—731no—
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#121C22×D7311yescharacteristic
1213#120—1461no—
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220#120—1461no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—1461no—
1226C4×Q8C22×D7311yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—731no—
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—1461no—
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×D4C22×D7311yescharacteristic
1259C4×D4C22×D7311yescharacteristic
1260C4×D4C22×D7311yescharacteristic
1261C4×D4C22×D7311yescharacteristic
1262C4×D4C22×D7311yescharacteristic
1263#117—731no—
1264#117—731no—
1265#117—731no—
1266#117—731no—
1267#117—1461no—
1268#117—1461no—
1269#117—1461no—
1270#117—1461no—
1271#117—1461no—
1272#117—1461no—
1273#117C22×D7311yescharacteristic
1274#117C22×D7311yescharacteristic
1275C2×C4⋊C4—731no—
1276C2×C4⋊C4—731no—
1277C2×C4⋊C4—1461no—
1278C2×C4⋊C4—1461no—
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—21no—
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×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C22⋊C4—1461no—
1290C2×C42—731no—
1291C2×C42—1461no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107C22×D7311yescharacteristic
1297#107C22×D7311yescharacteristic
1298#106—731no—
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306#106C22×D7311yescharacteristic
1307#106C22×D7311yescharacteristic
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8C22×D7311yescharacteristic
1313C4⋊C8C22×D7311yescharacteristic
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103C22×D7311yescharacteristic
1321#103C22×D7311yescharacteristic
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
1344#102C22×D7311yescharacteristic
1345#102C22×D7311yescharacteristic
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8C22×D7311yescharacteristic
1351C22⋊C8C22×D7311yescharacteristic
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97—731no—
1356#97—731no—
1357#97C22×D7311yescharacteristic
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8—731no—
1361C4×C8C22×D7311yescharacteristic
1362C24—21no—
1363C24—1461no—
1364C24—1461no—
1365C24—1461no—
1366#41—2921no—
1367#41—2921no—
1368#41—5842no—
1369#41—5842no—
1370#41—1462no—
1371#41—1462no—
1372C2×Q8—21no—
1373C2×Q8—5842no—
1374C2×Q8—731no—
1375C2×Q8—731no—
1376C2×Q8—1461no—
1377C2×Q8—1461no—
1378C2×Q8—1461no—
1379C2×Q8C23×D7311yescharacteristic
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—41no—
1384C2×D4—2921no—
1385C2×D4—2921no—
1386C2×D4—2921no—
1387C2×D4—5842no—
1388C2×D4—5842no—
1389C2×D4—731no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—731no—
1395C2×D4—1461no—
1396C2×D4—1462no—
1397C2×D4—1461no—
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—1462no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1462no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4C23×D7311yescharacteristic
1415C2×D4C23×D7311yescharacteristic
1416C2×D4C23×D7311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—5842no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—1461no—
1428C22×C4—1461no—
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×C4C23×D7311yescharacteristic
1443Q16—2921no—
1444SD16—22no—
1445SD16—41no—
1446SD16—2921no—
1447SD16—1462no—
1448SD16—1462no—
1449SD16—1462no—
1450D8—22no—
1451D8—41no—
1452D8—2921no—
1453D8—2921no—
1454D8—734no—
1455D8—1462no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459M16—2921no—
1460M16—2921no—
1461M16—1462no—
1462M16—1462no—
1463C2×C8—2921no—
1464C2×C8—731no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—1462no—
1469C2×C8C23×D7311yescharacteristic
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1504C4⋊C4D4×D7311yescharacteristic
1505C4⋊C4C23×D7311yescharacteristic
1506C4⋊C4C23×D7311yescharacteristic
1507C4⋊C4C23×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—731no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
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⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4D4×D7311yescharacteristic
1558C22⋊C4D4×D7311yescharacteristic
1559C42—21no—
1560C42—21no—
1561C42—731no—
1562C42—731no—
1563C42—731no—
1564C42—731no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42C23×D7311yescharacteristic
1572C42C23×D7311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—42no—
1577C23—81no—
1578C23—81no—
1579C23—2922no—
1580C23—2922no—
1581C23—2922no—
1582C23—2922no—
1583C23—5841no—
1584C23—5841no—
1585C23—5841no—
1586C23—5841no—
1587C23—5841no—
1588C23—731no—
1589C23—731no—
1590C23—1461no—
1591C23—1461no—
1592C23—1461no—
1593C23C2×D4×D7311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—81no—
1597Q8—2921no—
1598Q8—2922no—
1599Q8—5841no—
1600Q8—5841no—
1601Q8—1461no—
1602Q8—1461no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—42no—
1609D4—81no—
1610D4—2922no—
1611D4—2921no—
1612D4—2922no—
1613D4—2922no—
1614D4—2922no—
1615D4—2922no—
1616D4—2921no—
1617D4—2921no—
1618D4—2922no—
1619D4—2922no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—732no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4#41×D7312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—2921no—
1649C2×C4—2921no—
1650C2×C4—2922no—
1651C2×C4—2922no—
1652C2×C4—2922no—
1653C2×C4—2922no—
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—5841no—
1664C2×C4—5841no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C24×D7311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—732no—
1691C8—1461no—
1692C8—1461no—
1693C8—1461no—
1694C22—21no—
1695C22—22no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—162no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—5844no—
1716C22—11682no—
1717C22—11682no—
1718C22—1462no—
1719C22—1461no—
1720C22—1461no—
1721C22—1461no—
1722C22—1461no—
1723C22—1461no—
1724C22—1461no—
1725C22C22×D4×D7311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—2921no—
1737C4—2921no—
1738C4—2921no—
1739C4—2921no—
1740C4—2921no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4—1461no—
1746C4—1461no—
1747C4C2×#41×D7311yescharacteristic
1748C4#1798942311yescharacteristic
1749C2—41no—
1750C2—42no—
1751C2—81no—
1752C2—81no—
1753C2—2922no—
1754C2—2921no—
1755C2—2921no—
1756C2—5841no—
1757C2—5841no—
1758C2#2262341411yescharacteristic
1759C2#2262470611yescharacteristic
1760C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3118C2
socleC22×C73C23×D4
hypercenter#3118D73
hypocenterC73#61505
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #22623890C2semidirect
2. #22623859C2semidirect
3. #22623019C2semidirect
4. #22622834C2semidirect
5. #22622726C2semidirect
6. #22622681C2semidirect
7. #22622523C2semidirect
8. #22622474C2semidirect
9. #22622444C2semidirect
10. #22622166C2semidirect
11. #22622145C2semidirect
12. #22622084C2semidirect
13. #22622075C2semidirect
14. #22621960C2semidirect
15. #22621899C2semidirect
16. #22621537C2semidirect
17. #22621415C2semidirect
18. #22621404C2semidirect
19. #22620612C2semidirect
20. #22620542C2semidirect
21. #22620524C2semidirect
22. #22620204C2semidirect
23. #22620171C2semidirect
24. #22620117C2semidirect
25. #22620038C2semidirect
26. #22620020C2semidirect
27. #22618914C2semidirect
28. #22618781C2semidirect
29. #22618760C2semidirect
30. C4×#14556618C2semidirect
31. C73×#3118C2semidirect
35. #17989320C22semidirect
36. #17989319C22semidirect
37. #17989308C22semidirect
38. #17989303C22semidirect
40. #17989294C22semidirect
43. #17989276C22semidirect
48. #17989252C22semidirect
50. #17989242C22semidirect
51. #17989232C22semidirect
53. #17989230C22semidirect
57. #17989221C22semidirect
58. D4×C22⋊D73C22semidirect
59. #17989209C22semidirect
60. #17989208C22semidirect
61. #17989188C22semidirect
66. #17989134C22semidirect
68. #17989119C22semidirect
73. #17989066C22semidirect
74. #17989061C22semidirect
75. #17989059C22semidirect
76. C4×#11924029C22semidirect
77. C4×D4×D73C22semidirect
78. #17988995C22semidirect
79. #17988995C22semidirect
80. #17988983C22semidirect
81. #17988975C22semidirect
82. #17988973C22semidirect
83. #17988969C22semidirect
84. #17988950C22semidirect
85. #17988949C22semidirect
86. #17988946C22semidirect
87. #17988945C22semidirect
88. #17988943C22semidirect
89. #17988932C22semidirect
90. #17988930C22semidirect
91. #17988929C22semidirect
92. #17988916C22semidirect
93. #17988914C22semidirect
94. #17988912C22semidirect
95. #17988909C22semidirect
96. #17988909C22semidirect
97. #17988907C22semidirect
98. #17988907C22semidirect
99. #17988904C22semidirect
100. #17988896C22semidirect
101. #17988890C22semidirect
102. #17988890C22semidirect
103. #17988885C22semidirect
104. #17988878C22semidirect
105. #17988876C22semidirect
106. #17988875C22semidirect
107. #17988875C22semidirect
108. #17988871C22semidirect
109. #17988868C22semidirect
110. #17988843C22semidirect
111. #17988839C22semidirect
112. #17988839C22semidirect
114. #17988837C22semidirect
115. #17988836C22semidirect
116. #17988834C22semidirect
117. #17988832C22semidirect
118. #17988824C22semidirect
119. #17988818C22semidirect
120. #17988814C22semidirect
121. #17988813C22semidirect
122. #17988812C22semidirect
123. #17988807C22semidirect
124. #17988804C22semidirect
125. #17988803C22semidirect
126. #17988803C22semidirect
127. #17988801C22semidirect
129. #17988781C22semidirect
131. #17988780C22semidirect
132. #17988752C22semidirect
133. #17988746C22semidirect
134. #17988740C22semidirect
138. #17988722C22semidirect
139. #17988722C22semidirect
140. #17988719C22semidirect
141. #17988719C22semidirect
142. #17988716C22semidirect
143. #17988714C22semidirect
144. #17988700C22semidirect
145. #17988698C22semidirect
146. #17988697C22semidirect
147. #17988697C22semidirect
148. #17988697C22semidirect
149. #17988697C22semidirect
150. #17988697C22semidirect
153. #17988692C22semidirect
154. #17988690C22semidirect
155. #17988689C22semidirect
156. #17988688C22semidirect
157. #17988684C22semidirect
158. C4×#11924017C22semidirect
159. C4×#11924015C22semidirect
160. #17988674C22semidirect
161. C4×#11924016C22semidirect
162. C4×D584C22semidirect
163. D8×Dic73C22semidirect
166. C4×#11924013C22semidirect
167. C4×#11924013C22semidirect
168. #17988664C22semidirect
169. #17988662C22semidirect
170. #17988661C22semidirect
171. #17988657C22semidirect
172. #17988655C22semidirect
173. #17988655C22semidirect
174. #17988646C22semidirect
175. #17988642C22semidirect
176. #17988626C22semidirect
177. #17988626C22semidirect
178. #17988623C22semidirect
179. #17988592C22semidirect
180. #17988591C22semidirect
181. #17988590C22semidirect
182. #17988587C22semidirect
183. #17988580C22semidirect
184. #102×D73C22semidirect
185. #17988544C22semidirect
186. #17988543C22semidirect
187. C4×#11924011C22semidirect
188. #542×C73C22semidirect
189. #518×C73C22semidirect
190. #485×C73C22semidirect
191. #482×C73C22semidirect
192. #476×C73C22semidirect
193. #474×C73C22semidirect
194. #463×C73C22semidirect
195. #463×C73C22semidirect
196. #450×C73C22semidirect
198. #442×C73C22semidirect
199. #440×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #433×C73C22semidirect
557. #11924013#41semidirect
905. #3118D73semidirect
912. C73#61505semidirect
942. #542C2×D73semidirect
958. #518C2×D73semidirect
975. #485C2×D73semidirect
981. #482C2×D73semidirect
993. #476C2×D73semidirect
996. #474C2×D73semidirect
1015. #463C2×D73semidirect
1016. #463C2×D73semidirect
1024. #450C2×D73semidirect
1044. #442C2×D73semidirect
1050. #440C2×D73semidirect
1055. C4×SD16C2×D73semidirect
1062. C4×D8C2×D73semidirect
1070. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238902
#226238592
#226230192
#226228342
#226227262
#226226812
#226225232
#226224742
#226224442
#226221662
#226221452
#226220842
#226220752
#226219602
#226218992
#226215372
#226214152
#226214042
#226206122
#226205422
#226205242
#226202042
#226201712
#226201172
#226200382
#226200202
#226189142
#226187812
#226187602
C4×#145566182
C73×#31182
#6150573