Finite Group Databasebeta

← #33970588

Subgroups — #33970588

Order 18688.

1940 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623959C211yesmaximal, characteristic, complemented
2#22623930C211yesmaximal, characteristic, complemented
3#22622905C211yesmaximal, characteristic, complemented
4#22622803C211yesmaximal, characteristic, complemented
5#22622663C211yesmaximal, characteristic, complemented
6#22622641C211yesmaximal, characteristic, complemented
7#22622533C211yesmaximal, characteristic, complemented
8#22622522C211yesmaximal, characteristic, complemented
9#22622075C211yesmaximal, characteristic, complemented
10#22622066C211yesmaximal, characteristic, complemented
11#22621940C211yesmaximal, characteristic, complemented
12#22621931C211yesmaximal, characteristic, complemented
13#22621879C211yesmaximal, characteristic, complemented
14#22621742C211yesmaximal, characteristic, complemented
15#22621553C211yesmaximal, characteristic, complemented
16#22621548C211yesmaximal, characteristic, complemented
17#22621548C211yesmaximal, characteristic, complemented
18#22620664C211yesmaximal, characteristic, complemented
19#22620582C211yesmaximal, characteristic, complemented
20#22620576C211yesmaximal, characteristic, complemented
21#22620176C211yesmaximal, characteristic, complemented
22#22620170C211yesmaximal, characteristic, complemented
23#22620135C211yesmaximal, characteristic, complemented
24#22620133C211yesmaximal, characteristic, complemented
25#22619986C211yesmaximal, characteristic, complemented
26#22619928C211yesmaximal, characteristic, complemented
27#22618930C211yesmaximal, characteristic, complemented
28#22618761C211yesmaximal, characteristic, complemented
29#22618756C211yesmaximal, characteristic, complemented
30#22618738C211yesmaximal, characteristic, complemented
31C73×#3355C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556619C2211yescharacteristic
34C2×#14556615C2211yescharacteristic
35#17989314C2211yescharacteristic, complemented
36#17989300C2211yescharacteristic
37#17989293C2211yescharacteristic
38#17989288—21no—
39#17989288—21no—
40#17989286—21no—
41#17989285C2211yescharacteristic
42#17989281C2211yescharacteristic, complemented
43#17989258C2211yescharacteristic
44#17989258C2211yescharacteristic, complemented
45#17989258C2211yescharacteristic, complemented
46#17989255—21no—
47#17989255C2211yescharacteristic, complemented
48#17989255C2211yescharacteristic, complemented
49#17989238C2211yescharacteristic, complemented
50#17989235—21no—
51#17989232—21no—
52#17989229—21no—
53#17989226—21no—
54D4×D292C2211yescharacteristic
55#17989221C2211yescharacteristic
56#17989221C2211yescharacteristic
57#17989193C2211yescharacteristic
58#17989193C2211yescharacteristic, complemented
59#17989190C2211yescharacteristic
60#17989190C2211yescharacteristic, complemented
61#17989189—21no—
62#17989187—21no—
63#17989176—21no—
64#17989173—21no—
65#17989134—21no—
66#17989132C2211yescharacteristic
67#17989132C2211yescharacteristic, complemented
68#17989120—21no—
69#17989117C2211yescharacteristic
70#17989096—21no—
71#121×D73—21no—
72#17989068C2211yescharacteristic, complemented
73#17989066C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic
75#17989059C2211yescharacteristic
76#17989055C2211yescharacteristic, complemented
77C2×#14556553C2211yescharacteristic
78#17988987C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988964C2211yescharacteristic, complemented
81#17988962C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic, complemented
83#17988953C2211yescharacteristic, complemented
84#17988953C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988914C2211yescharacteristic, complemented
90#17988913C2211yescharacteristic, complemented
91#17988911C2211yescharacteristic, complemented
92#17988911C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988905C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic, complemented
96#17988900C2211yescharacteristic, complemented
97#17988893C2211yescharacteristic, complemented
98#17988891C2211yescharacteristic, complemented
99#17988890C2211yescharacteristic
100#17988890C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic
103#17988881C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic
106#17988866C2211yescharacteristic, complemented
107#17988841C2211yescharacteristic, complemented
108#17988841C2211yescharacteristic, complemented
109#17988840C2211yescharacteristic, complemented
110#17988840C2211yescharacteristic, complemented
111#17988838C2211yescharacteristic, complemented
112#17988838C2211yescharacteristic, complemented
113#17988824C2211yescharacteristic, complemented
114#17988824C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic, complemented
116#17988821C2211yescharacteristic, complemented
117#17988788C2211yescharacteristic, complemented
118#17988786C2211yescharacteristic, complemented
119#17988786C2211yescharacteristic, complemented
120#17988783C2211yescharacteristic
121#17988782C2211yescharacteristic, complemented
122#17988782C2211yescharacteristic, complemented
123#17988781C2211yescharacteristic
124#17988781C2211yescharacteristic
125#17988781C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988734C2211yescharacteristic, complemented
130#17988734C2211yescharacteristic, complemented
131#17988733C2211yescharacteristic, complemented
132#17988733C2211yescharacteristic, complemented
133#17988730C2211yescharacteristic, complemented
134#17988730C2211yescharacteristic, complemented
135#17988723C2211yescharacteristic
136#17988723C2211yescharacteristic
137#17988722C2211yescharacteristic
138#17988722C2211yescharacteristic
139#17988720C2211yescharacteristic
140#17988720C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142C8×Dic146C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic, complemented
144#17988698C2211yescharacteristic
145#17988698C2211yescharacteristic
146#17988698C2211yescharacteristic, complemented
147#17988698C2211yescharacteristic, complemented
148#17988697C2211yescharacteristic
149#17988696C2211yescharacteristic, complemented
150#17988696C2211yescharacteristic, complemented
151#17988687C2211yescharacteristic, complemented
152#17988686C2211yescharacteristic
153#17988686C2211yescharacteristic, complemented
154#17988686C2211yescharacteristic, complemented
155#17988678C2211yescharacteristic, complemented
156C4×#11924017C2211yescharacteristic
157#17988674C2211yescharacteristic
158#17988674C2211yescharacteristic
159#17988674C2211yescharacteristic, complemented
160#17988674C2211yescharacteristic, complemented
161#17988669C2211yescharacteristic
162#17988669C2211yescharacteristic
163#17988669C2211yescharacteristic, complemented
164#17988669C2211yescharacteristic, complemented
165#17988669C2211yescharacteristic, complemented
166#17988669C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic
168#17988667C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988663C2211yescharacteristic, complemented
172#17988661C2211yescharacteristic, complemented
173#17988659C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988637C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988591C2211yescharacteristic
180#17988586C2211yescharacteristic, complemented
181#17988581C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183C2×#14556511C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988545C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187M16×Dic73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189#553×C73C2211yescharacteristic, complemented
190#499×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#480×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic, complemented
196#478×C73C2211yescharacteristic, complemented
197#469×C73C2211yescharacteristic, complemented
198#469×C73C2211yescharacteristic, complemented
199C4×D8×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202#428×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C22×D292C2311yescharacteristic
213C2×D4×D73—21no—
214C2×D4×D73—21no—
215C2×D4×D73—21no—
216C2×D4×D73C2311yescharacteristic
217C22×C4×D73—21no—
218#14556619—24no—
219#14556619—24no—
220#14556615—24no—
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×D584C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924012C2311yescharacteristic
237C2×#11924011C2311yescharacteristic
238C22×#10596831C2311yescharacteristic
239C2×C8×D73C2311yescharacteristic
240#14556590—21no—
241#14556590C2311yescharacteristic
242#14556590C2311yescharacteristic
243#14556588C2311yescharacteristic
244#14556588C2311yescharacteristic
245#14556587—21no—
246#14556587—21no—
247#14556587—21no—
248#14556587C2311yescharacteristic
249#14556587C2311yescharacteristic
250#14556587C2311yescharacteristic
251#14556587C2311yescharacteristic
252#14556586—21no—
253#14556586D411yescharacteristic
254#14556585—21no—
255#14556584D411yescharacteristic
256#14556582C2311yescharacteristic
257#14556582C2311yescharacteristic
258#14556581—21no—
259#14556581—21no—
260#14556581D411yescharacteristic
261#14556579—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577D411yescharacteristic
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556575—21no—
273#14556575—21no—
274#14556575D411yescharacteristic
275#14556574—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556572D411yescharacteristic
280#14556571—21no—
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556568D411yescharacteristic
285#14556566—21no—
286#14556566—21no—
287#14556566—21no—
288#14556566—21no—
289#14556566—21no—
290#14556566C2311yescharacteristic
291#14556566C2311yescharacteristic
292#14556566C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556565—21no—
295#14556565—21no—
296#14556565—21no—
297#14556565C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556565C2311yescharacteristic
300#14556565C2311yescharacteristic
301#14556564—21no—
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563D411yescharacteristic
320#14556562—21no—
321#14556562—21no—
322#14556561—21no—
323#14556561—21no—
324#14556561—21no—
325#14556561—21no—
326#14556559—21no—
327#14556559—21no—
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330#14556556—21no—
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333#14556556C2311yescharacteristic
334C4×D292—21no—
335C4×D292—21no—
336C4×D292—21no—
337C4×D292C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
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⋊D73C2311yescharacteristic
360C4×C22⋊D73C2311yescharacteristic
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556550C2311yescharacteristic
370#14556549—21no—
371#14556549C2311yescharacteristic
372#14556548—21no—
373#14556548—21no—
374#14556548C2311yescharacteristic
375#14556547—21no—
376C2×#11924007—21no—
377C4⋊C4×D73—21no—
378C4⋊C4×D73—21no—
379C4⋊C4×D73C2311yescharacteristic
380C2×#11924005—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C2×C4×Dic73C2311yescharacteristic
386C42×D73—21no—
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556514C2311yescharacteristic
401#14556514C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556513C2311yescharacteristic
404#14556513C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556512C2311yescharacteristic
409#14556512C2311yescharacteristic
410#14556511C2311yescharacteristic
411#14556511C2311yescharacteristic
412#14556511C2311yescharacteristic
413#14556511C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×D8×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C2×M16×C73C2311yescharacteristic
441#126×C73—21no—
442#126×C73—21no—
443#125×C73C2311yescharacteristic
444#125×C73C2311yescharacteristic
445#123×C73—21no—
446#123×C73—21no—
447#121×C73—21no—
448#121×C73—21no—
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924028—22no—
485#11924028—22no—
486#11924028—41no—
487#11924028—41no—
488#11924028—82no—
489#11924028—82no—
490#11924028—82no—
491#11924027—22no—
492#11924027—41no—
493#11924027—82no—
494#11924027—82no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146C2×D411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×D292—22no—
500C2×D292—22no—
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—21no—
510C2×D292—21no—
511C2×D292—41no—
512C2×D292—41no—
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×D292C2411yescharacteristic
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⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73C2×D411yescharacteristic
535C2×C22⋊D73C2×D411yescharacteristic
536D4×D73—22no—
537D4×D73—41no—
538D4×D73—82no—
539D4×D73—82no—
540D4×D73—82no—
541C22×Dic73—21no—
542C22×Dic73—21no—
543C22×Dic73—21no—
544C22×Dic73C2×D411yescharacteristic
545C22×Dic73C2×D411yescharacteristic
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—82no—
562C2×C4×D73C2411yescharacteristic
563#11924017—22no—
564#11924017—22no—
565#11924017#4114yescomplemented
566#11924016—22no—
567D584—22no—
568D584—22no—
569D584—22no—
570D584—22no—
571D584—41no—
572D584—41no—
573#11924013—22no—
574#11924013—41no—
575#11924013—41no—
576#11924013—41no—
577#11924013—41no—
578#11924012—41no—
579#11924011—22no—
580C2×#10596831—41no—
581C2×#10596831C2411yescharacteristic
582C2×#10596831C2411yescharacteristic
583C2×#10596831C2411yescharacteristic
584C2×#10596831C2411yescharacteristic
585C8×D73—41no—
586C4⋊Dic73—21no—
587C4⋊Dic73—21no—
588C4⋊Dic73C2×D411yescharacteristic
589C4⋊Dic73C2×D411yescharacteristic
590C4⋊Dic73C2×D411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73C2×D411yescharacteristic
611C22⋊Dic73C2×D411yescharacteristic
612C22⋊Dic73C2×D411yescharacteristic
613C22⋊Dic73C2×D411yescharacteristic
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005C2×D411yescharacteristic
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2411yescharacteristic
647C4×Dic73C2411yescharacteristic
648C4×Dic73C2411yescharacteristic
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73—21no—
653C2×D4×C73C2×D411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C2×D4×C73C2411yescharacteristic
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73C2411yescharacteristic
661C22×C4×C73C2411yescharacteristic
662D8×C73—22no—
663M16×C73—22no—
664M16×C73—22no—
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C4⋊C4×C73C2411yescharacteristic
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73—21no—
689C22⋊C4×C73—21no—
690C22⋊C4×C73C2×D411yescharacteristic
691C22⋊C4×C73C2×D411yescharacteristic
692C42×C73—21no—
693C42×C73—21no—
694C42×C73C2411yescharacteristic
695C23×C73—21no—
696C23×C73—21no—
697C23×C73C22×D411yescharacteristic
698C23×C73C22×D411yescharacteristic
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—21no—
703C22×D73—21no—
704C22×D73—42no—
705C22×D73—42no—
706C22×D73—42no—
707C22×D73—42no—
708C22×D73—81no—
709C22×D73—81no—
710C22×D73—81no—
711C22×D73—81no—
712C22×D73—81no—
713C22×D73C22×D411yescharacteristic
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—41no—
719D4×C73—42no—
720D4×C73—81no—
721D4×C73—81no—
722D4×C73—81no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—81no—
734C2×C4×C73—81no—
735C2×C4×C73—81no—
736C2×C4×C73—81no—
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C2511yescharacteristic
742C22⋊D73—22no—
743C22⋊D73—41no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C2×Dic73—21no—
761C2×Dic73—22no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—41no—
765C2×Dic73—42no—
766C2×Dic73—81no—
767C2×Dic73—81no—
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775D292—21no—
776D292—21no—
777D292—21no—
778D292—21no—
779D292—21no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—21no—
784D292—42no—
785D292—42no—
786D292—81no—
787D292—81no—
788D292—81no—
789D292—81no—
790D292—81no—
791D292—81no—
792D292—81no—
793D292—81no—
794D292C2×#4112yes—
795C4×D73—21no—
796C4×D73—21no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—42no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812Dic146—21no—
813Dic146—22no—
814Dic146—42no—
815Dic146—81no—
816Dic146C2×#4112yes—
817C8×C73—21no—
818C8×C73—21no—
819C8×C73—21no—
820C8×C73C2×#4112yes—
821#10596831—21no—
822#10596831—21no—
823#10596831—21no—
824#10596831—21no—
825C22×C73—21no—
826C22×C73—21no—
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73C23×D411yescharacteristic
838C2×D73—21no—
839C2×D73—21no—
840C2×D73—22no—
841C2×D73—21no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—84no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73C22×#4111yescharacteristic
870C4×C73#58511yescharacteristic
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—22no—
875Dic73—21no—
876Dic73—21no—
877Dic73—21no—
878Dic73—41no—
879Dic73—41no—
880Dic73#57612yes—
881#61555—731nomaximal, Sylow
882C2×C73—41no—
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73D4×#4111yescharacteristic
887C2×C73C2×#57611yescharacteristic
888C2×C73#358511yescharacteristic
889D73—41no—
890D73—42no—
891D73—81no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3519—731no—
896#3517—731no—
897#3391—731no—
898#3381—731no—
899#3368—731no—
900#3366—731no—
901#3355—731no—
902#3355D7311yescharacteristic, complemented
903#3354—731no—
904#3318—731no—
905#3318—731no—
906#3309—731no—
907#3309—731no—
908#3305—731no—
909#3294—731no—
910#3274—731no—
911#3274—731no—
912#3274—731no—
913#3184—731no—
914#3176—731no—
915#3176—731no—
916#3122—731no—
917#3122—731no—
918#3119—731no—
919#3119—731no—
920#3106—731no—
921#3100—731no—
922#2969—731no—
923#2946—731no—
924#2946—731no—
925C4×AGL(1,ℤ/8)—731no—
926C73#6155511yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930#557—731no—
931#555—731no—
932#554—731no—
933#553—731no—
934#553—731no—
935#553—1461no—
936#553—1461no—
937#553—1461no—
938#553C2×D7311yescharacteristic
939#553C2×D7311yescharacteristic, complemented
940#550—731no—
941#550—731no—
942#550—731no—
943#550—731no—
944#550—731no—
945#550—1461no—
946#547—731no—
947#547—1461no—
948#546—1461no—
949#546—1461no—
950#546—1461no—
951D42—731no—
952D42—731no—
953D42—731no—
954#540—731no—
955#540—731no—
956#540—731no—
957#540—731no—
958#540—1461no—
959#540—1461no—
960#538—1461no—
961#538—1461no—
962#532—731no—
963#532—731no—
964#532—1461no—
965#529—731no—
966#529—1461no—
967#525—1461no—
968C2×#121—1461no—
969#520—731no—
970#520—731no—
971#518—731no—
972#518—731no—
973C4×#41—731no—
974C2×C4×D4—731no—
975#499—731no—
976#499C2×D7311yescharacteristic, complemented
977#498—731no—
978#493—731no—
979#493—731no—
980#493—731no—
981#490—731no—
982#490—731no—
983#490—731no—
984#490—731no—
985#486—731no—
986#486—731no—
987#482—731no—
988#482—731no—
989#482—731no—
990#482—731no—
991#482C2×D7311yescharacteristic, complemented
992#482C2×D7311yescharacteristic, complemented
993#481—731no—
994#481—731no—
995#480—731no—
996#480—731no—
997#480C2×D7311yescharacteristic, complemented
998#480C2×D7311yescharacteristic, complemented
999#479—731no—
1000#479—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#478—731no—
1005#478C2×D7311yescharacteristic, complemented
1006#478C2×D7311yescharacteristic, complemented
1007#477—731no—
1008#476—731no—
1009#474—731no—
1010#474—731no—
1011#469—731no—
1012#469—731no—
1013#469—731no—
1014#469—731no—
1015#469—731no—
1016#469—731no—
1017#469C2×D7311yescharacteristic, complemented
1018#469C2×D7311yescharacteristic, complemented
1019#466—731no—
1020#466—731no—
1021#466—731no—
1022#466—731no—
1023#460—731no—
1024#460—731no—
1025#460—731no—
1026#459—731no—
1027#459—731no—
1028#459—731no—
1029#459—731no—
1030#459—731no—
1031#459—731no—
1032#459—731no—
1033#459—731no—
1034#459—731no—
1035#449—731no—
1036#449—731no—
1037#449—731no—
1038#449—731no—
1039#449—731no—
1040#449—731no—
1041#447—731no—
1042#447—731no—
1043#447—731no—
1044#447—731no—
1045#447—731no—
1046#447—731no—
1047#446—731no—
1048C8×Q8—731no—
1049#442—731no—
1050#442—731no—
1051#442—731no—
1052#442—731no—
1053#442—731no—
1054#442—731no—
1055#442—731no—
1056#442—731no—
1057#440—731no—
1058#440—731no—
1059#440—731no—
1060#440—731no—
1061C4×SD16—731no—
1062C4×SD16—731no—
1063C4×SD16—731no—
1064C4×SD16—731no—
1065C4×SD16—731no—
1066C4×SD16—731no—
1067C4×D8—731no—
1068C4×D8—731no—
1069C4×D8—731no—
1070C4×D8—731no—
1071C4×D8—731no—
1072C4×D8—731no—
1073C4×D8—731no—
1074C4×D8—731no—
1075C4×D8—731no—
1076C4×D8C2×D7311yescharacteristic, complemented
1077#436—731no—
1078#436—731no—
1079#436C2×D7311yescharacteristic, complemented
1080#435—731no—
1081#435—731no—
1082C8×D4—731no—
1083#433—731no—
1084#433—731no—
1085#431—731no—
1086#428—731no—
1087#428C2×D7311yescharacteristic, complemented
1088#428C2×D7311yescharacteristic, complemented
1089#418—731no—
1090#417—731no—
1091#416—731no—
1092#416—731no—
1093C2×#102—731no—
1094C2×#102—731no—
1095#405—731no—
1096#405—731no—
1097C4×M16—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41—1461no—
1104C2×#41—1461no—
1105C2×#41—1461no—
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—731no—
1109C22×D4—1461no—
1110C22×D4—1461no—
1111C22×D4—1461no—
1112C23×C4—1461no—
1113AGL(1,ℤ/8)—1464no—
1114AGL(1,ℤ/8)—1464no—
1115AGL(1,ℤ/8)—1464no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8—731no—
1123C2×D8—731no—
1124C2×D8—731no—
1125C2×D8—731no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8—731no—
1131C2×D8C22×D7311yescharacteristic
1132C2×M16—731no—
1133C2×M16—731no—
1134C2×M16C22×D7311yescharacteristic
1135C2×M16C22×D7311yescharacteristic
1136C22×C8—731no—
1137C22×C8—731no—
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140C4⋊Q8—1461no—
1141#127—731no—
1142#127—731no—
1143#127—731no—
1144#127—731no—
1145#127—731no—
1146#127—731no—
1147#127—1461no—
1148#127—1461no—
1149#127—1461no—
1150#126—21no—
1151#126—21no—
1152#126—731no—
1153#126—731no—
1154#126—1461no—
1155#126—1461no—
1156#125—731no—
1157#125—731no—
1158#125—731no—
1159#125—1461no—
1160#125—1461no—
1161#125C22×D7311yescharacteristic
1162#125C22×D7311yescharacteristic
1163#124—731no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#123—21no—
1169#123—21no—
1170#123—731no—
1171#123—731no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184C22⋊Q8—731no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189#121—21no—
1190#121—21no—
1191#121—731no—
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#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121—1461no—
1227#121—1461no—
1228#121C22×D7311yescharacteristic
1229#121C22×D7311yescharacteristic
1230#121C22×D7311yescharacteristic
1231#121C22×D7311yescharacteristic
1232#120—1461no—
1233#120—1461no—
1234#120—1461no—
1235#120—1461no—
1236#120—1461no—
1237#120—1461no—
1238C4×Q8—731no—
1239C4×Q8—731no—
1240C4×Q8—731no—
1241C4×Q8—731no—
1242C4×Q8—731no—
1243C4×Q8—1461no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—731no—
1259C4×D4—731no—
1260C4×D4—731no—
1261C4×D4—731no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4C22×D7311yescharacteristic
1282C4×D4C22×D7311yescharacteristic
1283C4×D4C22×D7311yescharacteristic
1284#117—731no—
1285#117—731no—
1286#117—731no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117C22×D7311yescharacteristic
1292#117C22×D7311yescharacteristic
1293C2×C4⋊C4—731no—
1294C2×C4⋊C4—1461no—
1295C2×C4⋊C4—1461no—
1296C2×C4⋊C4—1461no—
1297C2×C4⋊C4C22×D7311yescharacteristic
1298C2×C4⋊C4C22×D7311yescharacteristic
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—731no—
1305C2×C42—1461no—
1306#107—731no—
1307#107—731no—
1308#107—731no—
1309#107C22×D7311yescharacteristic
1310#107C22×D7311yescharacteristic
1311#107C22×D7311yescharacteristic
1312#107C22×D7311yescharacteristic
1313#107C22×D7311yescharacteristic
1314#106—731no—
1315#106—731no—
1316#106—731no—
1317#106—731no—
1318#106C22×D7311yescharacteristic
1319#106C22×D7311yescharacteristic
1320#106C22×D7311yescharacteristic
1321#106C22×D7311yescharacteristic
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8C22×D7311yescharacteristic
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—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#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102C22×D7311yescharacteristic
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359#102C22×D7311yescharacteristic
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8—731no—
1364C22⋊C8C22×D7311yescharacteristic
1365C22⋊C8C22×D7311yescharacteristic
1366#97—731no—
1367#97—731no—
1368#97—731no—
1369#97—731no—
1370C4×C8—731no—
1371C4×C8—731no—
1372C4×C8—731no—
1373C4×C8—731no—
1374C4×C8—731no—
1375C4×C8C22×D7311yescharacteristic
1376C24—1461no—
1377C24—1461no—
1378C24—1461no—
1379#41—2921no—
1380#41—2921no—
1381#41—2921no—
1382#41—5842no—
1383#41—5842no—
1384#41—5842no—
1385#41—5842no—
1386#41—5842no—
1387#41—1462no—
1388#41—1462no—
1389#41—1462no—
1390C2×Q8—731no—
1391C2×Q8—731no—
1392C2×Q8—1461no—
1393C2×Q8—1461no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—2921no—
1399C2×D4—2921no—
1400C2×D4—2921no—
1401C2×D4—5842no—
1402C2×D4—5842no—
1403C2×D4—5842no—
1404C2×D4—731no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—1462no—
1412C2×D4—1462no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1462no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4—1461no—
1440C2×D4D4×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C2×D4C23×D7311yescharacteristic
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—5842no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4—1461no—
1465C22×C4—1461no—
1466C22×C4—1461no—
1467C22×C4—1461no—
1468C22×C4—1461no—
1469C22×C4C23×D7311yescharacteristic
1470C22×C4C23×D7311yescharacteristic
1471SD16—734no—
1472SD16—1462no—
1473SD16—1462no—
1474SD16—1462no—
1475D8—22no—
1476D8—2921no—
1477D8—2921no—
1478D8—2921no—
1479D8—2921no—
1480D8—2921no—
1481D8—2921no—
1482D8—1462no—
1483D8—1462no—
1484D8—1462no—
1485D8—1462no—
1486D8—1462no—
1487M16—22no—
1488M16—22no—
1489M16—2921no—
1490M16—1462no—
1491C2×C8—2921no—
1492C2×C8—2921no—
1493C2×C8—731no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8C23×D7311yescharacteristic
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4D4×D7311yescharacteristic
1530C4⋊C4C23×D7311yescharacteristic
1531C4⋊C4C23×D7311yescharacteristic
1532C4⋊C4C23×D7311yescharacteristic
1533C4⋊C4C23×D7311yescharacteristic
1534C4⋊C4C23×D7311yescharacteristic
1535C4⋊C4C23×D7311yescharacteristic
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—731no—
1545C22⋊C4—731no—
1546C22⋊C4—731no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4D4×D7311yescharacteristic
1576C22⋊C4D4×D7311yescharacteristic
1577C42—21no—
1578C42—21no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—731no—
1583C42—731no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42C23×D7311yescharacteristic
1590C23—21no—
1591C23—21no—
1592C23—2922no—
1593C23—2922no—
1594C23—2922no—
1595C23—2922no—
1596C23—5841no—
1597C23—5841no—
1598C23—5841no—
1599C23—5841no—
1600C23—5841no—
1601C23—731no—
1602C23—1461no—
1603C23—1461no—
1604C23—1461no—
1605C23—1461no—
1606C23—1461no—
1607C23C2×D4×D7311yescharacteristic
1608C23C2×D4×D7311yescharacteristic
1609Q8—2922no—
1610Q8—5841no—
1611Q8—732no—
1612Q8—1462no—
1613Q8—1461no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—41no—
1619D4—42no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—2922no—
1624D4—2922no—
1625D4—2922no—
1626D4—2922no—
1627D4—2922no—
1628D4—2922no—
1629D4—2922no—
1630D4—2921no—
1631D4—2922no—
1632D4—2922no—
1633D4—5841no—
1634D4—5841no—
1635D4—5841no—
1636D4—5841no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—732no—
1651D4—1462no—
1652D4—1461no—
1653D4—1461no—
1654D4—1461no—
1655D4—1461no—
1656D4—1461no—
1657D4—1461no—
1658D4—1461no—
1659D4—1461no—
1660D4—1461no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—2922no—
1676C2×C4—2922no—
1677C2×C4—2922no—
1678C2×C4—2922no—
1679C2×C4—2922no—
1680C2×C4—2921no—
1681C2×C4—2922no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1462no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4C2×D4×D7311yescharacteristic
1708C2×C4C2×D4×D7311yescharacteristic
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C24×D7311yescharacteristic
1712C8—21no—
1713C8—21no—
1714C8—21no—
1715C8—1461no—
1716C8—1461no—
1717C8—1461no—
1718C8—1461no—
1719C8#41×D7312yes—
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—2921no—
1733C22—2921no—
1734C22—2921no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—5844no—
1747C22—11682no—
1748C22—11682no—
1749C22—1461no—
1750C22—1461no—
1751C22—1462no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—2921no—
1765C4—2921no—
1766C4—732no—
1767C4—1461no—
1768C4—1461no—
1769C4—1462no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4C2×#41×D7311yescharacteristic
1775C4#1798942411yescharacteristic
1776C2—41no—
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—2922no—
1781C2—2921no—
1782C2—5841no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262341811yescharacteristic
1787C2#576×D7311yescharacteristic
1788C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3355C2
socleC22×C73C23×D4
hypercenter#3355D73
hypocenterC73#61555
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3355

Complements

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

NH ≅ G/Ntype
1. #22623959C2semidirect
2. #22623930C2semidirect
3. #22622905C2semidirect
4. #22622803C2semidirect
5. #22622663C2semidirect
6. #22622641C2semidirect
7. #22622533C2semidirect
8. #22622522C2semidirect
9. #22622075C2semidirect
10. #22622066C2semidirect
11. #22621940C2semidirect
12. #22621931C2semidirect
13. #22621879C2semidirect
14. #22621742C2semidirect
15. #22621553C2semidirect
16. #22621548C2semidirect
17. #22621548C2semidirect
18. #22620664C2semidirect
19. #22620582C2semidirect
20. #22620576C2semidirect
21. #22620176C2semidirect
22. #22620170C2semidirect
23. #22620135C2semidirect
24. #22620133C2semidirect
25. #22619986C2semidirect
26. #22619928C2semidirect
27. #22618930C2semidirect
28. #22618761C2semidirect
29. #22618756C2semidirect
30. #22618738C2semidirect
31. C73×#3355C2semidirect
35. #17989314C22semidirect
42. #17989281C22semidirect
44. #17989258C22semidirect
45. #17989258C22semidirect
47. #17989255C22semidirect
48. #17989255C22semidirect
49. #17989238C22semidirect
58. #17989193C22semidirect
60. #17989190C22semidirect
67. #17989132C22semidirect
72. #17989068C22semidirect
73. #17989066C22semidirect
76. #17989055C22semidirect
78. #17988987C22semidirect
79. #17988984C22semidirect
80. #17988964C22semidirect
81. #17988962C22semidirect
82. #17988962C22semidirect
83. #17988953C22semidirect
84. #17988953C22semidirect
85. #17988950C22semidirect
86. #17988950C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988914C22semidirect
90. #17988913C22semidirect
91. #17988911C22semidirect
92. #17988911C22semidirect
93. #17988907C22semidirect
94. #17988905C22semidirect
95. #17988902C22semidirect
96. #17988900C22semidirect
97. #17988893C22semidirect
98. #17988891C22semidirect
100. #17988890C22semidirect
101. #17988886C22semidirect
103. #17988881C22semidirect
104. #17988876C22semidirect
106. #17988866C22semidirect
107. #17988841C22semidirect
108. #17988841C22semidirect
109. #17988840C22semidirect
110. #17988840C22semidirect
111. #17988838C22semidirect
112. #17988838C22semidirect
113. #17988824C22semidirect
114. #17988824C22semidirect
115. #17988821C22semidirect
116. #17988821C22semidirect
117. #17988788C22semidirect
118. #17988786C22semidirect
119. #17988786C22semidirect
121. #17988782C22semidirect
122. #17988782C22semidirect
125. #17988781C22semidirect
126. #17988781C22semidirect
127. #17988781C22semidirect
128. #17988781C22semidirect
129. #17988734C22semidirect
130. #17988734C22semidirect
131. #17988733C22semidirect
132. #17988733C22semidirect
133. #17988730C22semidirect
134. #17988730C22semidirect
141. #17988716C22semidirect
142. C8×Dic146C22semidirect
143. #17988699C22semidirect
146. #17988698C22semidirect
147. #17988698C22semidirect
149. #17988696C22semidirect
150. #17988696C22semidirect
151. #17988687C22semidirect
153. #17988686C22semidirect
154. #17988686C22semidirect
155. #17988678C22semidirect
159. #17988674C22semidirect
160. #17988674C22semidirect
163. #17988669C22semidirect
164. #17988669C22semidirect
165. #17988669C22semidirect
166. #17988669C22semidirect
168. #17988667C22semidirect
169. #17988667C22semidirect
170. #17988663C22semidirect
171. #17988663C22semidirect
172. #17988661C22semidirect
173. #17988659C22semidirect
174. #17988650C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988637C22semidirect
178. #17988628C22semidirect
180. #17988586C22semidirect
181. #17988581C22semidirect
182. #17988580C22semidirect
185. #17988545C22semidirect
186. #17988541C22semidirect
187. M16×Dic73C22semidirect
189. #553×C73C22semidirect
190. #499×C73C22semidirect
191. #482×C73C22semidirect
192. #482×C73C22semidirect
193. #480×C73C22semidirect
194. #480×C73C22semidirect
195. #478×C73C22semidirect
196. #478×C73C22semidirect
197. #469×C73C22semidirect
198. #469×C73C22semidirect
199. C4×D8×C73C22semidirect
200. #436×C73C22semidirect
201. #428×C73C22semidirect
202. #428×C73C22semidirect
565. #11924017#41semidirect
902. #3355D73semidirect
926. C73#61555semidirect
939. #553C2×D73semidirect
976. #499C2×D73semidirect
991. #482C2×D73semidirect
992. #482C2×D73semidirect
997. #480C2×D73semidirect
998. #480C2×D73semidirect
1005. #478C2×D73semidirect
1006. #478C2×D73semidirect
1017. #469C2×D73semidirect
1018. #469C2×D73semidirect
1076. C4×D8C2×D73semidirect
1079. #436C2×D73semidirect
1087. #428C2×D73semidirect
1088. #428C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239592
#226239302
#226229052
#226228032
#226226632
#226226412
#226225332
#226225222
#226220752
#226220662
#226219402
#226219312
#226218792
#226217422
#226215532
#226215482
#226206642
#226205822
#226205762
#226201762
#226201702
#226201352
#226201332
#226199862
#226199282
#226189302
#226187612
#226187562
#226187382
C73×#33552
#6155573