Finite Group Databasebeta

← #14411829

Subgroups — #14411829

Order 1920.

1548 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D5×#235C211yesmaximal, characteristic
2C2×C5×#901C211yesmaximal, characteristic, complemented
3C2×#91286C211yesmaximal, characteristic, complemented
4#11751211C211yesmaximal, characteristic, complemented
5C2×C3×#3952C211yesmaximal, characteristic, complemented
6#11748349C211yesmaximal, characteristic, complemented
7#11748341C211yesmaximal, characteristic, complemented
8#11748140C212yesmaximal, complemented
9#11748139C212yesmaximal, complemented
10#11748102C212yesmaximal, complemented
11D3×#3952C212yesmaximal, complemented
12#10615524—31nomaximal, Hall
13C2×#6817C2211yescharacteristic
14C2×C5×#235C2211yescharacteristic
15C22×C3×C4×D5C2211yescharacteristic
16C2×D5×#67C412yes—
17C2×#6782C412yes—
18D5×#235—24no—
19D5×#235—24no—
20C2×D5×D12C411yescharacteristic
21C2×C4×D3×D5C2212yes—
22C2×#6773C411yescharacteristic
23C2×#6772C411yescharacteristic
24C2×#6771C2212yes—
25C2×D5×Dic6C411yescharacteristic
26C22×C3×C5×C8C2211yescharacteristic, complemented
27C2×#6710C2211yescharacteristic, complemented
28C2×C5×#208C2211yescharacteristic, complemented
29C5×#901—24no—
30C2×C5×ΓL(1,𝔽25)C2212yescomplemented
31C2×C5×D3×C8C2212yescomplemented
32C22×C3×#168C2211yescharacteristic, complemented
33C2×#6650C2212yescomplemented
34#91286—24no—
35C2×D3×#168C2212yescomplemented
36#91104C2212yescomplemented
37#91104C2212yescomplemented
38C3×#3952C2211yescharacteristic
39C3×#3952C2211yescharacteristic
40C3×#3952C2211yescharacteristic, complemented
41C3×#3952C2211yescharacteristic, complemented
42#90957C2212yescomplemented
43#90957C2212yescomplemented
44#90955C2212yes—
45#90955C2212yescomplemented
46#78600—51nomaximal, Hall
47C2×D5×#41—31no—
48C2×C5×#131—31no—
49C2×#4094—31no—
50#65418—31no—
51#65418—32no—
52#65415—32no—
53#65415—31no—
54#65399—32no—
55#65399—31no—
56C2×#3952—32no—
57C2×#3952D311yescharacteristic, complemented
58C23×C3×D5C2×C411yescharacteristic
59C22×D3×D5C2×C412yes—
60C22×C3×C4×C5C2311yescharacteristic
61C2×#1220C2×C412yes—
62#6817—22no—
63#6817—22no—
64C2×D60C2×C411yescharacteristic
65C2×C4×D15C2312yes—
66C2×Dic30C2×C411yescharacteristic
67C2×C5×#67C2×C412yes—
68C5×#235D414yes—
69C5×#235D414yes—
70C2×C5×D12C2×C411yescharacteristic
71C2×C4×C5×D3C2312yes—
72C2×C5×Dic6C2×C411yescharacteristic
73C22×C3×Dic5C2×C411yescharacteristic
74C2×C3×C4×D5—22no—
75C2×C3×C4×D5—22no—
76C2×C3×C4×D5C2×C411yescharacteristic
77C2×C3×C4×D5C2×C411yescharacteristic
78C2×C3×C4×D5C2311yescharacteristic
79C2×C3×C4×D5C2311yescharacteristic
80D5×#67—28no—
81C2×#1204C2×C412yes—
82C2×#1203C2×C412yes—
83C2×#1202C2×C412yes—
84C2×#1201C2×C412yes—
85C2×#1200C2×C412yes—
86#6782—28no—
87C2×D3×Dic5C2×C412yes—
88C2×D5×Dic3C2×C412yes—
89D5×D12—24no—
90C4×D3×D5—24no—
91C4×D3×D5—24no—
92#6773—24no—
93#6772—24no—
94#6771—24no—
95#6771—24no—
96D5×Dic6—24no—
97C2×C3×C5×C8—22no—
98C2×C3×C5×C8C2311yescharacteristic
99C2×C3×C5×C8C2311yescharacteristic
100#6710—22no—
101C2×C3⋊#168C2312yes—
102C5×#208—22no—
103C2×C5×C3⋊C8C2312yes—
104C5×ΓL(1,𝔽25)—24no—
105C5×D3×C8—24no—
106C2×C3×#168—22no—
107C2×C3×#168C2311yescharacteristic
108C2×C3×#168C2311yescharacteristic
109#6650—24no—
110D3×#168—24no—
111C22×#235—51no—
112C2×#901—51no—
113C2×#901D511yescharacteristic, complemented
114C2×C3×C22⋊C8—51no—
115#5207—51no—
116#5110—51no—
117#5110—51no—
118#4727—52no—
119#4727—52no—
120#4726—52no—
121D3×C22⋊C8—52no—
122C2×C5×#41—31no—
123D5×#41—64no—
124D5×#41—64no—
125C2×#713—31no—
126C2×Q8×D5—31no—
127C2×#711—32no—
128C2×#711—31no—
129C2×D4×D5—32no—
130C2×D4×D5—31no—
131C2×#709—31no—
132C2×#709—32no—
133C22×C4×D5—32no—
134C22×C4×D5C2×D311yescharacteristic
135C5×#131—64no—
136C2×C5×M16—31no—
137C2×C5×M16—32no—
138C22×C5×C8—32no—
139C22×C5×C8C2×D311yescharacteristic, complemented
140#4094—64no—
141C2×#681—31no—
142C2×#681—32no—
143C22×#168—32no—
144C22×#168C2×D311yescharacteristic, complemented
145#3952—32no—
146#3952—32no—
147#3952—32no—
148#3952—32no—
149#3952—32no—
150#3952—32no—
151#3952C2×D311yescharacteristic
152#3952C2×D311yescharacteristic
153#3952C2×D311yescharacteristic, complemented
154#3952C2×D311yescharacteristic, complemented
155#2880—151noSylow
156C23×C3×C5C22×C411yescharacteristic
157C22×D15C22×C412yes—
158C22×C5×D3C22×C412yes—
159C22×C3×D5—22no—
160C22×C3×D5—22no—
161C22×C3×D5—41no—
162C22×C3×D5C22×C411yescharacteristic
163C22×C3×D5C22×C411yescharacteristic
164C2×D3×D5—24no—
165C2×D3×D5—24no—
166C2×D3×D5—42no—
167C2×C3×C4×C5C22×C411yescharacteristic
168C2×C3×C4×C5C2×D412yes—
169C2×C3×C4×C5C2×D412yes—
170C2×C3×C4×C5C2411yescharacteristic
171#1220—24no—
172C2×Dic15C22×C412yes—
173D60—22no—
174C4×D15—22no—
175C4×D15—22no—
176Dic30—22no—
177C5×#67C22⋊C418yes—
178C2×C5×Dic3C22×C412yes—
179C5×D12C22⋊C414yes—
180C4×C5×D3C2×D414yes—
181C4×C5×D3C2×D414yes—
182C5×Dic6C22⋊C414yes—
183C2×C3×Dic5—22no—
184C2×C3×Dic5C22×C411yescharacteristic
185C2×C3×Dic5C22×C411yescharacteristic
186C3×C4×D5—22no—
187C3×C4×D5—22no—
188C3×C4×D5—21no—
189C3×C4×D5—21no—
190C3×C4×D5—21no—
191C3×C4×D5—21no—
192#1204—24no—
193#1203—24no—
194#1202—24no—
195#1201—24no—
196#1200—24no—
197D3×Dic5—24no—
198D5×Dic3—24no—
199C3×C5×C8—21no—
200C3×C5×C8—21no—
201C3⋊#168—22no—
202C3×#168—21no—
203C3×#168—21no—
204C5×C3⋊C8—22no—
205C23×C3×C4—51no—
206C22×#67—52no—
207C2×#235—51no—
208C2×#235—52no—
209C2×#235—51no—
210C2×#235—52no—
211C2×#235—51no—
212C2×#235—104no—
213C2×#235—104no—
214C2×#235C2×D511yescharacteristic
215C22×D12—51no—
216C22×C4×D3—52no—
217C22×Dic6—51no—
218C22×C3×C8—51no—
219C22×C3×C8C2×D511yescharacteristic, complemented
220C2×#208—51no—
221C2×#208C2×D511yescharacteristic, complemented
222#901—24no—
223#901—104no—
224C2×ΓL(1,𝔽25)—52no—
225C2×ΓL(1,𝔽25)C2×D512yescomplemented
226C2×D3×C8—52no—
227C2×D3×C8C2×D512yescomplemented
228C3×C22⋊C8—51no—
229C3×C22⋊C8—51no—
230C3×C22⋊C8—51no—
231C3×C22⋊C8—51no—
232#830—52no—
233#830—52no—
234(C2×D3)⋊C8—52no—
235(C2×D3)⋊C8—52no—
236(C2×D3)⋊C8—52no—
237(C2×D3)⋊C8—52no—
238C23×D5—32no—
239C23×D5C4×D311yescharacteristic
240C5×#41—34no—
241C5×#41—34no—
242C2×C5×Q8—31no—
243C2×C5×D4—32no—
244C2×C5×D4—31no—
245C22×C4×C5—32no—
246C22×C4×C5C22×D311yescharacteristic
247C2×C22⋊D5—32no—
248C2×C22⋊D5—32no—
249C2×C22⋊D5—32no—
250C22×Dic5—32no—
251C22×Dic5C4×D311yescharacteristic
252#713—64no—
253Q8×D5—64no—
254#711—64no—
255#711—68no—
256D4×D5—64no—
257D4×D5—68no—
258#709—64no—
259#709—64no—
260#709—62no—
261#709—62no—
262C2×D20—32no—
263C2×D20—31no—
264C2×C4×D5—22no—
265C2×C4×D5—22no—
266C2×C4×D5—32no—
267C2×C4×D5—32no—
268C2×C4×D5—32no—
269C2×C4×D5—64no—
270C2×C4×D5—64no—
271C2×C4×D5C4×D311yescharacteristic
272C2×C4×D5C4×D311yescharacteristic
273C2×C4×D5C22×D311yescharacteristic
274C2×C4×D5C22×D311yescharacteristic
275C2×Dic10—31no—
276C2×Dic10—32no—
277C5×M16—64no—
278C5×M16—62no—
279C2×C5×C8—22no—
280C2×C5×C8—32no—
281C2×C5×C8—64no—
282C2×C5×C8C22×D311yescharacteristic
283C2×C5×C8C22×D311yescharacteristic
284#681—64no—
285#681—62no—
286C2×#168—22no—
287C2×#168—32no—
288C2×#168—64no—
289C2×#168C22×D311yescharacteristic
290C2×#168C22×D311yescharacteristic
291C22×#41—151no—
292C2×#131—31no—
293C2×#131—151no—
294#408—152no—
295#408—152no—
296#408—151no—
297#408—151no—
298#407—152no—
299#407—151no—
300C2×C22⋊C8—51no—
301C2×C22⋊C8—152no—
302C22×C3×C5—21no—
303C22×C3×C5—21no—
304C22×C3×C5C2×C22⋊C412yes—
305C22×C3×C5C23×C411yescharacteristic
306C2×D15—22no—
307C2×D15—22no—
308C2×D15—22no—
309C2×C5×D3—22no—
310C2×C5×D3—22no—
311C2×C5×D3C2×C22⋊C414yes—
312C2×C3×D5—21no—
313C2×C3×D5—21no—
314C2×C3×D5—21no—
315C2×C3×D5—21no—
316C2×C3×D5—21no—
317C2×C3×D5—44no—
318C2×C3×D5#13112yescomplemented
319D3×D5—48no—
320C3×C4×C5C2×C22⋊C412yes—
321C3×C4×C5C22×D411yescharacteristic
322C3×C4×C5C22×D411yescharacteristic
323Dic15—22no—
324C3×Dic5—21no—
325C3×Dic5—21no—
326C5×Dic3C2×C22⋊C414yes—
327C24×C3—51no—
328C23×D3—52no—
329C22×C3×C4—51no—
330C22×C3×C4—51no—
331C22×C3×C4—51no—
332C22×C3×C4—51no—
333C22×C3×C4—51no—
334C22×C3×C4—102no—
335C22×C3×C4—102no—
336C22×C3×C4C22×D511yescharacteristic
337C2×#67—52no—
338C2×#67—52no—
339C2×#67—52no—
340C2×#67—108no—
341C2×#67C4×D512yes—
342C22×Dic3—52no—
343#235—102no—
344#235—102no—
345#235—108no—
346#235—104no—
347#235—104no—
348#235—104no—
349#235—104no—
350#235D2014yes—
351#235C22⋊D514yes—
352C2×D12—52no—
353C2×D12—51no—
354C2×D12—104no—
355C2×D12C4×D511yescharacteristic
356C2×C4×D3—52no—
357C2×C4×D3—52no—
358C2×C4×D3—52no—
359C2×C4×D3—104no—
360C2×C4×D3—104no—
361C2×C4×D3C22×D512yes—
362C2×Dic6—51no—
363C2×Dic6—52no—
364C2×Dic6—104no—
365C2×Dic6C4×D511yescharacteristic
366C2×C3×C8—22no—
367C2×C3×C8—51no—
368C2×C3×C8—51no—
369C2×C3×C8—102no—
370C2×C3×C8C22×D511yescharacteristic
371C2×C3×C8C22×D511yescharacteristic
372#208—22no—
373#208—102no—
374C2×C3⋊C8—52no—
375C2×C3⋊C8C22×D512yes—
376ΓL(1,𝔽25)—24no—
377ΓL(1,𝔽25)—104no—
378D3×C8—24no—
379D3×C8—104no—
380C23×C5—32no—
381C23×C5C2×C4×D311yescharacteristic
382C22×D5—22no—
383C22×D5—22no—
384C22×D5—32no—
385C22×D5—41no—
386C22×D5—64no—
387C22×D5—64no—
388C22×D5—122no—
389C22×D5C2×C4×D311yescharacteristic
390C22×D5C2×C4×D311yescharacteristic
391C5×Q8—34no—
392C5×D4—38no—
393C5×D4—34no—
394C2×C4×C5—32no—
395C2×C4×C5—34no—
396C2×C4×C5—34no—
397C2×C4×C5C2×C4×D311yescharacteristic
398C2×C4×C5D3×D412yes—
399C2×C4×C5D3×D412yes—
400C2×C4×C5C23×D311yescharacteristic
401C22⋊D5—64no—
402C22⋊D5—64no—
403C22⋊D5—64no—
404C2×Dic5—22no—
405C2×Dic5—32no—
406C2×Dic5—64no—
407C2×Dic5C2×C4×D311yescharacteristic
408C2×Dic5C2×C4×D311yescharacteristic
409D20—64no—
410D20—62no—
411C4×D5—22no—
412C4×D5—22no—
413C4×D5—21no—
414C4×D5—21no—
415C4×D5—21no—
416C4×D5—21no—
417C4×D5—64no—
418C4×D5—64no—
419C4×D5—62no—
420C4×D5—62no—
421Dic10—64no—
422Dic10—62no—
423C5×C8—21no—
424C5×C8—21no—
425C5×C8—62no—
426#168—21no—
427#168—21no—
428#168—62no—
429C2×#41—31no—
430C2×#41—152no—
431C2×#41—152no—
432C2×#41—151no—
433C2×#41—151no—
434C2×#41—151no—
435C2×#41—304no—
436C2×#41—304no—
437C22×Q8—151no—
438C22×D4—151no—
439C22×D4—152no—
440C23×C4—51no—
441C23×C4—152no—
442#131—64no—
443#131—304no—
444C2×M16—31no—
445C2×M16—32no—
446C2×M16—152no—
447C2×M16—151no—
448C22×C8—32no—
449C22×C8—51no—
450C22×C8—152no—
451C22×C8D3×D511yescharacteristic, complemented
452C22⋊C8—51no—
453C22⋊C8—51no—
454C22⋊C8—51no—
455C22⋊C8—51no—
456C22⋊C8—152no—
457C22⋊C8—152no—
458C22⋊C8—152no—
459C22⋊C8—152no—
460C22⋊C8—152no—
461C22⋊C8—152no—
462C2×C3×C5—22no—
463C2×C3×C5C22×C22⋊C411yescharacteristic
464C2×C3×C5C2×#13111yescharacteristic
465C2×C3×C5#56811yescharacteristic
466D15—42no—
467C3×D5—22no—
468C3×D5—41no—
469C5×D3—24no—
470C23×C3—51no—
471C23×C3—51no—
472C23×C3—102no—
473C23×C3—102no—
474C23×C3—201no—
475C23×C3C2×C4×D511yescharacteristic
476C22×D3—52no—
477C22×D3—104no—
478C22×D3—104no—
479C22×D3—202no—
480C22×D3C2×C4×D512yes—
481C2×C3×C4—51no—
482C2×C3×C4—51no—
483C2×C3×C4—102no—
484C2×C3×C4—101no—
485C2×C3×C4—101no—
486C2×C3×C4—101no—
487C2×C3×C4—101no—
488C2×C3×C4—102no—
489C2×C3×C4—102no—
490C2×C3×C4C2×C4×D511yescharacteristic
491C2×C3×C4C2×D2012yes—
492C2×C3×C4C2×C22⋊D512yes—
493C2×C3×C4C23×D511yescharacteristic
494#67—104no—
495#67—104no—
496#67—104no—
497#67#68518yes—
498C2×Dic3—52no—
499C2×Dic3—104no—
500C2×Dic3C2×C4×D512yes—
501D12—104no—
502D12—102no—
503D12#68514yes—
504C4×D3—104no—
505C4×D3—102no—
506C4×D3—102no—
507C4×D3—104no—
508C4×D3C2×D2014yes—
509C4×D3C2×C22⋊D514yes—
510Dic6—102no—
511Dic6—104no—
512Dic6#68514yes—
513C3×C8—21no—
514C3×C8—21no—
515C3×C8—101no—
516C3×C8—101no—
517C3⋊C8—22no—
518C3⋊C8—102no—
519C22×C5—21no—
520C22×C5—21no—
521C22×C5—34no—
522C22×C5—62no—
523C22×C5—62no—
524C22×C5D3×C22⋊C412yes—
525C22×C5C22×C4×D311yescharacteristic
526C2×D5—21no—
527C2×D5—21no—
528C2×D5—21no—
529C2×D5—21no—
530C2×D5—21no—
531C2×D5—44no—
532C2×D5—62no—
533C2×D5—62no—
534C2×D5—62no—
535C2×D5—128no—
536C2×D5#90112yescomplemented
537C4×C5—34no—
538C4×C5D3×C22⋊C412yes—
539C4×C5C2×D3×D411yescharacteristic
540C4×C5C2×D3×D411yescharacteristic
541Dic5—21no—
542Dic5—21no—
543Dic5—62no—
544C24—51no—
545C24—152no—
546#41—34no—
547#41—34no—
548#41—304no—
549#41—304no—
550#41—308no—
551#41—304no—
552#41—304no—
553#41—302no—
554#41—302no—
555C2×Q8—31no—
556C2×Q8—152no—
557C2×Q8—151no—
558C2×Q8—304no—
559C2×D4—32no—
560C2×D4—31no—
561C2×D4—152no—
562C2×D4—152no—
563C2×D4—152no—
564C2×D4—152no—
565C2×D4—151no—
566C2×D4—304no—
567C2×D4—308no—
568C22×C4—32no—
569C22×C4—51no—
570C22×C4—51no—
571C22×C4—51no—
572C22×C4—51no—
573C22×C4—51no—
574C22×C4—102no—
575C22×C4—102no—
576C22×C4—152no—
577C22×C4—152no—
578C22×C4—152no—
579C22×C4—152no—
580C22×C4—304no—
581C22×C4—304no—
582C22×C4C2×D3×D511yescharacteristic
583M16—64no—
584M16—62no—
585M16—304no—
586M16—302no—
587C2×C8—22no—
588C2×C8—32no—
589C2×C8—51no—
590C2×C8—51no—
591C2×C8—64no—
592C2×C8—102no—
593C2×C8—152no—
594C2×C8—304no—
595C2×C8C2×D3×D511yescharacteristic
596C2×C8C2×D3×D511yescharacteristic
597C3×C5#288011yescharacteristic, complemented, Hall
598C22×C3—21no—
599C22×C3—21no—
600C22×C3—52no—
601C22×C3—101no—
602C22×C3—101no—
603C22×C3—101no—
604C22×C3—101no—
605C22×C3—101no—
606C22×C3—204no—
607C22×C3C2×#68512yes—
608C22×C3C22×C4×D511yescharacteristic
609C2×D3—22no—
610C2×D3—22no—
611C2×D3—102no—
612C2×D3—102no—
613C2×D3—102no—
614C2×D3—208no—
615C2×D3C2×#68514yes—
616C3×C4—101no—
617C3×C4—101no—
618C3×C4C2×#68512yes—
619C3×C4C22×D2011yescharacteristic
620C3×C4C22×C22⋊D511yescharacteristic
621Dic3—102no—
622Dic3C2×#68514yes—
623C2×C5—22no—
624C2×C5—64no—
625C2×C5C2×D3×C22⋊C411yescharacteristic
626C2×C5C2×#90111yescharacteristic
627C2×C5#574511yescharacteristic
628D5—22no—
629D5—41no—
630D5—122no—
631C23—32no—
632C23—51no—
633C23—51no—
634C23—102no—
635C23—102no—
636C23—152no—
637C23—201no—
638C23—304no—
639C23—304no—
640C23—602no—
641C23C4×D3×D511yescharacteristic
642Q8—34no—
643Q8—304no—
644Q8—302no—
645D4—38no—
646D4—34no—
647D4—304no—
648D4—304no—
649D4—304no—
650D4—304no—
651D4—302no—
652C2×C4—32no—
653C2×C4—34no—
654C2×C4—34no—
655C2×C4—51no—
656C2×C4—51no—
657C2×C4—102no—
658C2×C4—102no—
659C2×C4—102no—
660C2×C4—101no—
661C2×C4—101no—
662C2×C4—101no—
663C2×C4—101no—
664C2×C4—152no—
665C2×C4—304no—
666C2×C4—304no—
667C2×C4—304no—
668C2×C4—302no—
669C2×C4—302no—
670C2×C4C4×D3×D511yescharacteristic
671C2×C4D3×D2012yes—
672C2×C4D3×C22⋊D512yes—
673C2×C4C22×D3×D511yescharacteristic
674C8—21no—
675C8—21no—
676C8—62no—
677C8—101no—
678C8—101no—
679C8—302no—
680C2×C3—22no—
681C2×C3—102no—
682C2×C3—201no—
683C2×C3D5×#13111yescharacteristic
684C2×C3#6608411yescharacteristic
685C2×C3C22×#68511yescharacteristic
686D3—24no—
687D3—202no—
688C5#7860011yescharacteristic, complemented, Sylow
689C22—21no—
690C22—21no—
691C22—34no—
692C22—52no—
693C22—62no—
694C22—62no—
695C22—101no—
696C22—101no—
697C22—101no—
698C22—101no—
699C22—101no—
700C22—204no—
701C22—302no—
702C22—302no—
703C22—302no—
704C22—608no—
705C22D3×#68512yes—
706C22C2×C4×D3×D511yescharacteristic
707C4—34no—
708C4—101no—
709C4—101no—
710C4—302no—
711C4D3×#68512yes—
712C4C2×D3×D2011yescharacteristic
713C4C2×D3×C22⋊D511yescharacteristic
714C3#1061552411yescharacteristic, complemented, Sylow
715C2—22no—
716C2—64no—
717C2—102no—
718C2—201no—
719C2—602no—
720C2D5×#90111yescharacteristic
721C2#1175394911yescharacteristic
722C2C2×D3×#68511yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D3×D5
commutator, socleC22×C3×C5C23×C4
FittingC22×C3×C5×C8C22
prime radicalC2×D5×#235C2
cosocleC2×C3×C4×C5C24
hypercenterC22×C8D3×D5
hypocenterC3×C5#2880
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ C22×C8

Complements

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

NH ≅ G/Ntype
2. C2×C5×#901C2semidirect
3. C2×#91286C2semidirect
4. #11751211C2semidirect
5. C2×C3×#3952C2semidirect
6. #11748349C2semidirect
7. #11748341C2semidirect
8. #11748140C2semidirect
9. #11748139C2semidirect
10. #11748102C2semidirect
11. D3×#3952C2semidirect
26. C22×C3×C5×C8C22semidirect
27. C2×#6710C22semidirect
28. C2×C5×#208C22semidirect
30. C2×C5×ΓL(1,𝔽25)C22semidirect
31. C2×C5×D3×C8C22semidirect
32. C22×C3×#168C22semidirect
33. C2×#6650C22semidirect
35. C2×D3×#168C22semidirect
36. #91104C22semidirect
37. #91104C22semidirect
40. C3×#3952C22semidirect
41. C3×#3952C22semidirect
42. #90957C22semidirect
43. #90957C22semidirect
45. #90955C22semidirect
57. C2×#3952D3semidirect
113. C2×#901D5semidirect
139. C22×C5×C8C2×D3semidirect
144. C22×#168C2×D3semidirect
153. #3952C2×D3semidirect
154. #3952C2×D3semidirect
219. C22×C3×C8C2×D5semidirect
221. C2×#208C2×D5semidirect
225. C2×ΓL(1,𝔽25)C2×D5semidirect
227. C2×D3×C8C2×D5semidirect
318. C2×C3×D5#131semidirect
451. C22×C8D3×D5semidirect
536. C2×D5#901semidirect
597. C3×C5#2880semidirect
688. C5#78600semidirect
714. C3#10615524semidirect

Maximal subgroups

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

subgroupindex
C2×D5×#2352
C2×C5×#9012
C2×#912862
#117512112
C2×C3×#39522
#117483492
#117483412
#117481402
#117481392
#117481022
D3×#39522
#106155243
#786005